{"data":[{"name":"Protein-protein interaction","means":[[32.952067243809424,29.490874939508767,25.70579485579154,22.73955732268498,18.253494606347918,22.77745521848611,20.48318435245936,23.36417529846012,24.419135484533005,21.881284930107558,25.036324633831406,27.476423286412775,22.38812666338672,22.551384763216035,25.904069630766976,24.92483735823885,20.528161616302967,22.72491279599512,22.182523703689522,22.021821936037565,23.808084381052915,25.44310416036855,24.892819563914262,22.949493676729308,19.929361692287706,19.08440485627722,17.076114965610444,16.729885719070026,20.34918695968988,22.549611616908674,28.174863038168652,27.838691836945962,32.33458167308565,33.56013731027012,29.469211897738877,25.974396951127055,25.021604193798886,21.3459742721635,18.446802087784853,21.223410099608504,17.35992614093525,21.028297676831667,23.98952789522462,21.517440354502284,23.322600307248358,21.40291714822557,24.678782443890476,23.813768131887638,18.705077731001914,20.570206392790077,24.07565955080743,23.476055062001837,26.82956633306454,23.481230291083403,28.913357735612024,31.3904646559727,28.001986967587154,28.904752351580083,33.430106014633225,32.71811784053304,30.003477338598174,33.50492609009608,33.568758871636724,34.57944473660408,30.832828573416688,28.242082852961474,27.843771062446653,27.1053260313157,26.23289212824901,27.347886332232736,26.858324499443892,30.399749144977978,31.178973780030418,31.217213563659172,30.90006667500422,35.928303343117044,32.07228411614879,35.801865905620964,32.743559948332035,31.28568338546014,30.2339516776638,27.081001813374897,27.04474461979213,24.76060044066138,20.941962377046693,22.70220619012696,24.4593812951225,28.165956945314075,27.743965324082247,33.405080982728556,32.282454176927466,36.3672490267858,34.94106675219044,34.46817306557536,30.92400431836717,33.751123525101136,30.62549113470741,31.23920235899871,29.913872644762076,33.1901744024688,29.734258636623196,29.177083211225845,26.56929706624694,25.319463809281924,23.532984511691613,21.43325883060707,23.947901158938393,21.59999654032796,21.18226620355018,22.339785522077058,20.36042324505742,17.043070304519766,17.995872979626277,13.981561341305897,15.924195179521549,12.83622425961833,14.701514985327854,12.443722748056175,17.914921694297572,19.378987616433534,18.561890211903926,18.14952689939923,14.596115800456078,14.517498916940903,16.263387325746983,12.278068630888379,16.75741821763601,14.13733948836804,15.968622859385514,17.067725740112106,15.987176033577162,19.316422982172753,16.211935536725772,18.484439841083116,12.83902612020448,10.987559867871704,10.47141322896564,7.026805729313508,6.080364298394338,6.490318823666082,6.496758286357944,9.218382964348404,11.668503966974427,10.229210456035904,12.719600738092685,15.54641033109428,13.543329517823762,16.669678912486837,17.718361331936553,20.21301952431697,22.99412797938541,26.554960818623552,30.22125180891483,34.29114220912763,33.259487503801665,30.41655629909279,26.651135952743367,25.271633911940317,23.10522489274751,20.26490438327985,14.998210769575703,16.83705799059414,11.028013001728745,14.738418368663247,11.628350535120488,6.257594175006194,9.280086313212259,9.31092547749207,8.77671167001892,5.0262391441016465,7.570533535547887,7.002347523976527,11.691970868256085,15.155358382032007,18.266497742179634,21.742916647168194,22.36557328080311,26.5347838196401,22.793000719162013,23.540755063985717,19.226135758059957,18.435218477324987,19.19162617925902,19.379263035858177,16.008545003733726,17.78904805229514,17.0548402825226,20.292390968283623,17.060378600536097,17.472720189519013,17.044096340348954,15.281319275056731,15.111963167183804,14.591558471163161,16.82338874800595,19.15995005471741,16.961596057605416,20.817093948551655,21.84972846886602,22.35421941075002,26.920018548182206,27.47101671264635,23.988798992818005,25.660832945663103,29.806703578719862,28.147039520864816,25.34654183511676,29.79782235222177,33.23442275274394,29.921490981016287,31.161929482780707,34.90436700741566,34.17766138816981,32.34987413393917,35.56806640495187,33.062213473594156,38.271651564509256,34.64015558518151,33.98362643366817,37.81082633288209,39.69500006197241,44.027107277443605,43.12733522884468,43.84925577644042,40.2095749280762,40.70546609174361,37.14428499377923,39.21183735733177,39.534513775039514,33.41040054264644,33.8005489139276,36.29940736968669,33.19058495924888,29.771031982047973,30.22821143184441,31.44389978937355,28.84973476997339,24.20313214117853,25.424862229243036,25.821112997226948,29.619363724345853,32.062037187514946,33.79533459333908,38.165002534113114,34.97891152547323,31.497142305411362,36.38833814090884,37.20994705375396,32.485303269027746,33.10892757452692,37.20387107358365,36.54319859975698,34.16823722153797,38.43559261673965,40.485688420965445,37.84320734524242,38.53489173372683,41.66341584938504,39.25104699481755,39.819927883686276,36.71396383437525,39.04709213763337,39.96374925255399,34.48861166459913,34.765706804722065,37.097695184045,35.30074771863382,31.027754333772304,35.3946845588638,36.309356837589014,31.227901475301188,29.916791847481335,34.808486955656065,34.70425837867438,31.16734071711968,28.601731838055976,31.822411608518724,29.798766332916806,33.25921339293019,29.17641976355753,28.27862269819409,26.995488632610524,25.949205415569594,24.0311719329211,24.511262309992436,22.156042240938433,23.911693553668705,19.901751027435786,19.816529947534534,17.215005087999373,22.05927401234523,24.701290845845843,28.50519628226076,28.259730714740126,24.655391859108896,28.43977536594488,31.317455927839475,27.479561404338437,27.726542757872505,31.754635010366865,35.39043917443882,37.269639679605035,38.21623157186472,38.84717964976951],[29.673187091965698,26.172375238472824,22.447197428693826,19.42945351632037,15.11831867920666,20.06511854691989,18.219995963237672,21.51264102241758,22.707556701802336,20.708121219147955,24.13341385490924,26.599619109575396,21.971833891208103,22.034090703468188,25.881592465377143,25.14281553962362,20.98942328840488,23.814267847706805,23.82614221143864,24.003220156303254,26.175569004716962,28.14151792317728,27.73455052103098,25.952686383692022,22.782890820804404,21.48361620266993,19.33029901091869,18.26010900396263,21.551651385552532,23.277289006889788,28.98266035683787,28.354276449368335,32.905432200736605,34.615206325309245,30.61134312214106,27.3518877232545,26.132909654700953,23.17829125043423,20.569787253089434,23.731869260208345,20.216680099556466,23.647537200287534,26.847718552052275,24.64959959702282,26.619724382986323,24.820646873558434,28.15885612598085,27.181773117531392,22.090438356911267,24.020505844428452,27.387691919222643,26.57586206165455,29.9000217121441,26.3431638802528,31.668720820383083,34.40088180309047,31.03653812110655,31.57212330016585,36.20313590945987,35.7778238043621,32.86049181755091,36.10861681617318,35.86685024529704,37.10877469221515,33.501219788928694,30.630982388861238,29.964754740324974,28.800891474221466,27.68963565369043,28.307956009153795,27.774840626993964,31.317366677529126,32.265779814475955,32.80993210524268,32.337476000099024,37.691885927305535,34.02176347463868,37.61548816604923,34.694951384523854,33.54401868267566,32.176691717121315,29.20367330810055,28.61271894226794,26.603908513598217,22.964823596198684,24.405124085766783,26.496554275924424,29.717585412592463,29.55188391811261,34.92143273075863,33.70730601336933,37.77156238849208,35.99891140177862,35.20313886304238,31.351842988465492,33.96214515332118,30.53892377067319,31.263504960664505,29.577225633790764,32.54815717043926,29.71466094424586,28.744217982949557,26.799434639439866,25.01529904822521,23.679769203180005,20.877008933961378,23.242529842919268,20.68828563633922,19.57821659593344,20.983973274735927,18.484068681876707,15.770737367723873,16.463024700569946,12.852358697771518,15.377679920608863,12.595358974176893,15.355231883449541,13.552834975666661,19.493006084289572,20.358681483050564,19.100460126982714,18.0626888206214,14.113601347793091,13.402804088106928,14.509549256883862,10.358086384836245,14.297538396699492,12.218878754160311,14.17072922293647,16.250113137920145,14.605119692119038,18.488666232211518,16.064167433969764,18.560094882347904,12.711674586306232,10.346393450875798,8.351452220717796,5.3414443473535975,4.706052975368693,7.194655733371336,8.415473208562947,12.183224041880944,14.038397878969926,12.054072233025066,14.859535968662968,16.86615322315778,14.334754962166894,16.781209947604616,17.323054698311747,19.19743971530149,21.696277407352635,25.14344968133639,28.877817994529295,32.6841449576773,32.0967358272437,29.530820543012595,25.94546501567071,24.524339203518636,22.919982936404338,19.901981592445704,15.24668669092693,17.92128912904439,12.618637406490603,16.724668497048448,13.819013568948124,9.059752922991791,11.136539193659779,11.336117350377839,9.39447679305036,5.669603727046922,7.935607798482676,7.759488726023294,12.922020034474867,16.3675445027915,19.4003278712489,22.454045251371134,23.053760269280136,27.408851324147133,24.139625522248238,24.667346010610835,20.781772263471627,18.927514852723142,20.16791670468538,20.72696484098822,17.54514267623071,20.148578015290596,19.677903931703227,23.16494714921889,20.33894922439984,20.336186189489126,19.654898524290694,17.549548568029945,16.662809827852474,15.389676294936343,17.090583902278563,18.795657731115902,15.813818064559777,19.446946654415427,19.817634091274957,20.38701660396978,24.74076915886836,25.28763338746744,21.611230670156473,22.971488131617843,27.184211566913106,25.37851943457992,22.21112128294059,26.764999250782015,30.34105244540647,26.761654638886085,27.875021451639654,31.680028462789757,30.98585204184832,28.98083081271134,32.153423257819966,29.648656489320945,34.964873189989255,31.354021536205384,30.82422363474727,34.69989242640493,36.79172073244981,41.11610905732543,40.48222002982356,41.35404039284027,37.85448339294511,38.620285551245686,35.212783140013784,37.50548477170335,37.54482714178508,31.30201041639627,32.10539803185114,34.65780421535488,31.264421702750973,27.985395987944184,28.906654759184438,29.80591692863717,26.846341514441775,22.721749161614852,23.356363819516073,24.3310367324172,28.121535937989087,30.19559628383963,32.1963180211463,36.43207705798975,33.40863773113386,29.663801793851327,34.267526722040365,35.241332485682776,30.445692422884495,30.700248849806027,34.76834117833933,34.061338372599096,31.443370260084095,35.72436365671233,37.75287265858992,34.948114302470564,35.536131751916415,38.735850445875684,36.32566977032724,37.11878694142869,34.20686879792975,36.62744242384094,37.2297951646065,31.66876817665008,32.27556734420184,34.45065927879587,32.452489288173055,28.36718175474386,32.9626968037344,33.58245206557013,28.36250891952195,27.435082287828138,32.39161978781761,31.998934306622104,28.342235796773494,25.507616572187462,28.849384217458432,26.599282527513665,29.957832826740404,25.74715030752378,24.924684530457057,23.562261238696532,22.429172688131324,20.599628087542587,21.233757317707195,19.029121666098927,20.941227082100372,16.887698303175668,17.329598107258953,14.552024599058052,19.220114822638074,22.38800389206374,26.10301516751439,26.119732809558705,22.14747444681235,25.62980819143154,28.703596154649375,25.029792388104998,24.77559451537691,28.75629742773714,32.508265356881076,34.32785613161016,35.20582374700293,35.77661436239999],[25.41395799690431,21.956980443644916,18.711876518937583,15.150148374343711,11.908903539030748,17.208519612994316,16.236140775842284,20.25533303660502,21.22223486677066,19.97473876015196,23.604076545063553,26.28908038890998,22.474834528785326,21.989850705200578,26.505890978594042,26.314506435714147,22.495625909092595,25.923777188790154,26.364287113817184,27.216361711586188,29.658516261976295,32.138629967019334,31.740347104301154,30.04448957031591,26.86855362668206,24.955778600798514,22.970170211280855,21.15408439470315,24.104580871128878,25.40125906790162,30.784997682052396,30.125084801940645,34.62126696610836,36.87818399395729,33.13941604338152,30.105804426713327,28.865615758920555,26.677954650476458,24.51275181403728,28.26659953261896,24.85772692571767,27.784656030057214,31.322113296287924,29.364082144977974,31.309533455264972,29.55742316241466,33.03975631281639,32.154881033973744,27.096768710864318,29.232118719737173,32.57568724480253,31.73318031824999,34.93844218130269,31.179664350921342,36.46387302308938,39.27785680746735,35.80143476333723,36.01866999713269,40.74219296354781,40.48062807725212,37.21677503496773,40.118029689382716,39.511578455982665,40.81671428017892,37.42331889891069,34.353663945096244,33.077447939354435,31.50315388969664,29.833837619071335,29.87502975887135,29.10530068211247,32.46627192297344,33.843022380090176,35.05283655292717,34.636689760726924,40.42144794324446,37.17566062239055,40.6853225148215,38.0876327866114,37.4030856692005,35.8768837680624,33.28543632892854,32.234256697151274,30.694744052144607,27.17478966802396,28.09313081349736,30.289643619401257,32.99421229125038,32.819412360403845,37.798158205555694,36.276311699259416,40.13767168479063,37.93674893982792,36.82927323313559,32.606093929592646,34.76936907798482,30.95565124193092,32.161740727915685,30.121815593790508,32.802684779830855,30.98581536665399,29.76030398054804,28.756009687877423,26.570466774032038,26.118399698141385,22.511662640254407,24.74809621137786,22.11464285305959,19.938604713261977,21.50249207680439,18.117312003263645,16.41384736681389,16.19787910410763,13.423868847061915,16.023128767008366,13.670413678285904,17.206343553528953,15.765478972372962,21.865323945030003,22.18366711630573,20.224912528651824,18.541051294646426,14.137005276982848,12.902902236384893,13.210361791528193,9.86496187639423,12.768187161439535,12.29795198315106,14.524577098461872,17.993984283163606,15.82782423743016,20.257149022222773,18.85656259671831,21.407230001735712,15.730612200567561,12.860771152702855,9.302977743663153,7.615821582800459,6.772418406733632,10.616227736534647,11.884640550836966,16.415649224864385,17.797094055155824,15.650775326741245,18.827020794620285,19.94957460522659,16.975354836807206,18.613570030895822,18.739221798071313,19.44714137156935,21.67610432287636,24.54508459083437,28.48787987902324,31.5715283296086,31.613538041750317,29.65938300593806,26.352443852049337,25.195119425306167,24.269964683233763,21.510895370556817,17.87040400779623,21.0830173156634,16.524343364824343,20.955459778557714,18.541607258678564,14.254034639083644,15.933175206749315,16.053778929573447,13.295099991419605,10.232564898412159,12.006607992923055,11.94770515132243,16.99986137308826,20.181189425674543,22.891858046335496,25.405362718167694,25.680206320303945,30.33133971613945,27.709343532378316,28.142688623530738,24.865182581182367,22.012074086622516,23.8946744190533,24.842721618216896,21.878850387047173,24.973966744342825,24.519329864445027,28.229868856586045,25.586466273893485,25.49825215416667,24.663903826465667,22.427836857397963,21.03240207422117,19.184745203338164,20.25397329447287,21.117840749961648,17.2882823218065,20.354089525886003,19.55641554607297,20.2072837780428,23.985465231840266,24.43951585345061,20.48539657508604,21.185660591785368,25.403439565037107,23.214170327329406,19.251796085295027,24.004548222962168,27.786159673139363,23.485301927936334,24.28994457242654,28.22859769975714,27.471796444135517,24.93061797581695,28.06656661939339,25.643642954380592,31.29048302623786,27.733183381961556,27.645689454382133,31.614530652128433,34.19709974088735,38.450312166684924,38.434632372678294,39.63918588899299,36.462084933055614,37.73977156284197,34.6678908346275,37.32203057428494,36.841522665707224,30.50431781579846,32.04099512230413,34.59425178664359,30.745486621446325,27.830132548580778,29.491269961710323,29.739113784129856,26.21578614115595,23.212299416538293,22.840191082111186,24.835942741049585,28.48961805904694,29.866280752140213,32.25342993228962,36.15564390759902,33.408623178634855,29.334192777504235,33.301503459785465,34.451555805439625,29.583364018491558,29.185285772244548,33.05492844186815,32.16899603213919,29.13409686968672,33.46213199321873,35.32690295225673,32.09755815003571,32.583587258018746,35.96920759926736,33.64518391160232,34.96467587409069,32.51471265731445,35.11379297466219,35.03897616874252,29.35730426865801,30.70076696448094,32.489888948824,30.061797804135786,26.488025838176647,31.4438553555784,31.369236803979994,25.92455654311717,25.87314182173446,30.787179249954043,29.70833851804718,25.836207357644717,22.410744446783678,25.78334513574314,22.898771294375578,26.13252267279756,21.5804428770083,21.203559419968542,19.512312568515203,17.926645419719016,16.57155566352965,17.573555760986178,16.04612355915799,18.487677375093355,14.541835712015018,16.272926377184252,13.127046528974383,16.973223308998328,21.128119663028446,24.55222199966257,24.86541929713542,20.268166187719522,23.066806053814854,26.356445225221922,22.86517092332104,21.56330200963851,25.531571226526925,29.396042695324176,31.113629116191515,31.882460855368276,32.28890285457508],[22.682355752921804,19.227746768767297,15.513368178118553,12.589669361548681,8.028433985250636,12.955236060058242,11.666122289941072,15.402678509353944,16.963378215509348,16.16914063128219,19.921635475856498,22.086994545622566,18.59170746256075,18.857367801401466,23.241990395482198,22.82944298734177,19.589698130536018,23.52595403304633,24.98117646954961,25.518761638299864,28.589654827859505,31.092068722493114,31.258212579697037,30.156528387022185,26.506016231849056,24.4011721403104,21.749572204580215,19.28585317165524,21.459766416843152,21.966359561369636,27.66246137155119,26.29306446554025,30.778056774458893,33.43360654035236,29.729353515262986,27.160709024232418,25.385555572744906,24.16581766910619,22.37655561966635,26.347960032360344,23.785705060380952,26.46951320406872,30.11090009394224,28.781912344255797,31.314714524383554,30.13927842459645,33.62248733814951,32.07938040306822,27.23143065834909,29.669049720525972,32.298073201527124,31.059609800070124,33.9476233191357,29.785390329837828,34.758755891568924,38.02103495306628,34.69542113482557,34.19028952044758,39.00263676268248,39.396851492399065,35.952109930930256,38.46188897436461,37.465979367605065,39.38147986947203,36.20331330105251,32.65541338655683,31.682735647321742,29.528019526917998,28.34385598168482,27.81941050210413,27.533220164157783,31.10121255332414,31.9667541160812,33.506592442120464,32.397392661513614,38.196190090592424,34.91817434973186,38.03055104830202,35.454732918312956,35.045287941970464,32.997918241960214,30.640688274541937,28.926039335113398,27.822625893366045,24.61614787373009,25.1049786872914,27.750442976437935,29.748990458358456,30.17418343079822,34.69551049327069,33.42395535438547,37.41569772530063,34.97523929039885,33.47106534511718,29.1732976348743,31.3629842456376,27.550878454379088,28.18409284638667,25.833207661732896,28.097074094915815,26.50859366749213,24.882709608525538,24.309979969746543,21.809474379101175,21.88439179571184,17.94283335436536,20.39231849937936,18.15445432472056,15.637474694949406,16.728830765100874,13.102781261234272,11.46945682730086,11.240136093601077,9.041554878689436,12.56153354252248,11.290426894904789,15.294624282950702,15.172078622747975,21.252643012066482,20.48881525535576,18.85089638723444,16.529077819450357,12.91129147017346,10.514823479056004,9.599604780575275,5.490823917724781,7.693606808750385,7.379921589443052,10.098226355347316,13.988220075541312,12.758561643563745,17.358603026512416,16.63573207698481,18.272413051631943,13.177508419504141,9.53180236613948,6.849339964066717,5.2536456167494165,5.856115904046593,9.342215568027438,12.832216535288003,17.25685106525132,17.450596158656577,14.523137296875849,17.317919350429808,17.39606868155245,14.2253512171892,14.845450859244533,14.301652698549656,14.710391334999622,16.590146656916303,19.609613379863323,23.401411247841615,26.67426263457529,26.76781048122602,24.745856850036997,21.614260595221218,20.25888724080358,19.76882924332036,16.870630426476716,14.033937518280016,17.84454453455708,14.379783637915573,18.74404154343136,17.03356915911027,14.27022808188678,15.577376315400034,17.07407015779665,14.138304999342926,10.8728046376441,11.186540462444832,10.30609850180808,14.645805396414085,17.28127920993323,19.564063773673194,21.50549703972838,21.725722196622673,26.360408360194597,24.336112494685793,24.62823835572252,22.123603625752697,18.4066018486553,21.18539094534171,22.811150951463933,20.010867024380914,23.455059507370933,23.05748081579669,27.218667957012393,25.69871250573851,25.33020159069448,24.8575863177735,21.88340104417802,20.647864610789608,18.37630762561665,19.16171952519615,19.97902396227187,15.687922817809714,18.237442877505735,17.27277236721868,16.84048380190813,20.908243549920556,20.591514426855056,16.56345251100071,18.20844929046428,22.097306873911613,19.449892783237654,16.459602764589423,21.26527513672714,24.29918606056498,20.22797371377204,21.679520042176804,25.418383634440126,24.225789595289207,22.3355207841002,25.938293777315657,23.83408701911149,29.077649887450125,26.618762817909957,25.808024812296207,29.491500603700196,32.27752343272687,36.1760354882373,36.40807184362197,37.1722885350905,33.87644746894935,34.92816008593618,31.529162342279847,34.605371767588075,34.493738817539494,28.06133381693914,29.448176313420856,32.67518589292926,29.094376997504977,25.905002319779623,27.812953992781075,28.825350066925466,25.258815302819258,21.957161068999575,20.86552576339263,21.96053818694483,25.56176511199857,26.55851957898125,28.49902611906467,32.228128063528914,29.146929090622372,25.331421173358375,29.315972011756674,30.04818089774001,25.081426086316398,25.09889730530326,28.802421176011034,27.763107959525286,25.068344093297128,29.61757462770237,31.310611337184547,28.17686586707468,29.106466260337854,32.527481781744555,30.43601484646364,31.605114769884523,28.99161798045386,31.943963646052254,32.17850973197436,26.455111172545188,27.887322497837253,30.200680005160216,27.907313600549568,24.34910538400275,29.66672288417616,30.086509111826167,24.69419875309338,24.67962626559437,29.959861766083485,29.308429206387554,25.540639235249262,22.040412271654763,26.229201527978574,23.53362514921503,25.91515128812223,21.20509001101126,19.79906267610898,17.543962128103857,17.288356618376355,15.963794768359117,17.75536350070324,15.758024992271611,16.956079858543134,11.927361944972688,13.048399862522201,8.932974009280825,12.85138898819268,16.45737343514314,20.015661824883367,19.932163501674623,15.506209110805147,18.817207050938517,21.831070948946117,18.138720886763736,17.578378012058327,21.659764889317852,25.37294320432595,27.2732530289243,28.274441006647677,29.01906685591553],[19.03240632808247,15.847053280899438,13.470258746930428,8.874656541720215,7.604781816455147,11.643605409310366,11.622657041185876,16.19405023543482,16.679301032401153,16.555099253188644,20.19273815299381,22.8802790928436,20.39763155531749,19.484185923838908,24.4849965893098,24.91019139201098,21.934913910423564,26.069492316532916,27.47042840314126,28.923862930353476,31.92285115433825,34.99552860653827,34.92888607998114,33.7288102593103,30.31086607892663,27.631281019664133,25.566726343362067,22.717939466807703,24.793342456227318,25.2655169063921,30.062228925084554,29.21728719331165,33.464633868376104,36.446405279648225,33.183882864877184,30.668046172343697,29.353101699123275,28.47262016618564,27.08246284274009,31.66769217359485,28.70501112192771,30.785475502092567,34.74450744330682,33.444555226313085,35.66993020059932,34.37227231679208,38.05933058897455,36.88381242432479,32.0141007096696,34.7501011201152,37.61780149315823,36.63238297224949,39.38236360042479,35.13951532388133,40.22722423620786,43.2545258458737,39.645260317724706,39.10170029295381,43.94697614371118,44.198149680341466,40.36596104542224,42.56249508703444,41.30984750505919,42.95652740831543,40.00225493732227,36.502561243845115,34.64077549980646,32.32362652348439,30.292245586896826,29.357556641464868,28.596186759187493,31.74603413072235,33.29287409616683,35.43659794674918,34.74789026047925,40.93447785108176,38.284492344284615,41.45785313736192,39.35955883958671,39.432632233949974,37.59997581834403,35.72733517599156,33.99187682917999,33.350921545138725,30.058652211185944,30.056564974291323,32.35568348910634,34.11843256291619,34.04991861215248,38.24189924316037,36.43156696557181,39.991524016119264,37.213087581402014,35.60682648573468,31.03179505782314,32.582152732885234,28.426103619995203,30.02431196052469,27.580705353945067,29.810939733873365,29.36291491870455,28.02852951347023,28.262600866454715,25.943125537554824,27.01383112609096,22.733759463860146,25.168820770132232,23.10378822867514,19.828429948931213,20.771030222512245,16.41414884440578,15.715618616801214,13.960528967293488,12.733255908585662,14.959156545297018,13.853397116015362,17.916072885197696,17.6534831119845,23.43597231038799,22.537035359159194,20.090488626564415,17.48061162550575,13.535363841513266,11.33708842097706,10.067510059900105,8.94105806095459,10.02598081589399,12.073539523676768,14.83354843966814,19.355318371939298,17.937377416344244,22.60480010490486,22.402915347441013,24.071797764154734,19.185809028285206,15.533091170020493,12.430055545816472,11.234210909959707,10.373027232872525,14.076343855684685,16.17264968681096,21.044183329686255,21.212453980882533,18.694118034652547,21.919606168628466,21.59897018035619,18.33824751273168,18.644456641066718,18.279642602680063,17.34287294748624,19.234684566412213,20.98520118973751,25.130330082868277,27.142058863470194,27.79945814686848,26.706325413272666,23.867343820272055,23.27961809390859,23.166468678537875,21.23020986214312,19.205563765161802,22.67779253646122,19.578450646150532,24.160095768071532,22.879567276478,19.744661174869393,21.43187776287652,22.38847893148797,19.37413953723699,16.24600187114832,17.09599796896033,16.262022235158714,20.63096723158703,23.07837181943387,25.002636022775178,26.657102238878608,26.246213858269613,31.19285028640497,29.650474936705834,30.128143950547518,28.00145598058989,24.09724074989534,27.210044430243553,28.917556202147626,26.13204753489435,29.425902174064568,28.717971451710454,32.98445813696902,31.129408106789906,31.113957761827205,30.590592050531335,27.834295005617616,26.502452431416405,24.19749197946612,24.81158565779021,25.169425894896257,20.61740494826847,22.71961787422487,20.800244634811378,20.525864202649377,23.729152782910447,23.251061071379798,19.127221038661155,19.905315029902773,23.541397460962187,20.344096924729396,16.44038705605809,21.333103354731943,24.410661709700186,19.193430715368617,20.20488638717284,24.050329153597737,22.5293913215876,19.715984144253312,23.4053812451918,21.6226296567233,27.35048676225625,25.159274357138376,25.105867766499017,28.822465116472173,32.308282851430455,36.033204942690496,37.115485071938984,38.30605632022304,35.49360255518748,37.13898510346019,34.19665439571513,37.59084413204561,36.90257994590222,30.529551872021475,32.67310268442121,35.760962448804015,31.762913425641656,29.08109444517078,31.59072648660577,31.83362963255555,27.83254144550761,25.775442517077437,23.896690197490422,26.009774574065844,29.3493926781762,29.603691631899338,31.85847503826439,35.1015350606617,32.33035235743195,28.34513382827015,31.44521701132247,32.246335528036006,27.3148870156467,26.60903980074095,29.825415039996777,28.441076101910372,25.328964400863924,29.92878448271204,31.21891578292395,27.395549511758922,28.36932885990015,32.07320469550473,30.241833217589374,32.17638844637417,30.265445548121924,33.42705804523962,32.755788902346694,27.007994438690247,29.426619877744685,31.173224714696907,28.34868574598154,25.622820774349652,31.197358813746458,30.67548951338188,25.153168230387656,26.267862609541098,31.264159322595532,29.708009999921174,25.770889983018698,21.58761121822179,25.517052122682426,21.925247009005542,24.086506519776627,18.909635858482407,18.386114624144014,15.368532937302199,14.35602845295613,14.24604312337166,16.618282337450157,15.922117850233372,17.848627000865147,13.439741580466064,16.120585227661344,11.995975920531837,13.978327532727002,18.541717601004763,21.487335210257882,21.49041397126608,16.485955219575768,18.69733464236536,21.67382432424628,18.038457707188915,15.958284319097002,20.1471744619007,23.795260172101134,25.58971887415587,26.46273597437167,26.931535192114353],[22.936533769953286,20.116598947285137,17.7545753077254,13.334074354821896,11.057742917914881,12.804622835076927,10.632726582941922,14.563046983927052,14.041547747270425,12.214324651781736,15.666802700736534,18.85829849035032,15.420239139077152,14.067260915315341,18.95461838529151,19.40058064153007,15.965993739427326,19.87215769527435,21.107324924817693,22.793457495276026,25.780663250030035,29.08705791744966,29.05919469078166,28.07740498580425,24.62426634240519,21.621496571913493,19.72231920402687,16.68021264624744,18.86352068180788,19.800791887389245,24.23409441133377,24.05960965486718,28.295695370610932,30.90537616336066,27.717291051173223,24.907418499120244,24.17178991247293,22.945875526522112,21.822358462029662,26.996489059558755,23.744761978609354,25.151986436641344,29.331635878175202,28.285602906934937,30.47771115658403,29.515515862103584,33.333388734538055,32.099430034056496,27.50279938914059,30.845573062248096,33.41153779945149,32.66389606304935,34.938172820658714,30.525252145192397,35.69286632998718,38.3863254640971,34.50898304639129,33.862420612080015,38.69250515575396,38.86813478623864,34.70172158034305,36.664992143581074,35.32390893612549,36.80945360369671,33.97609512721608,30.503456328145084,28.33760404427444,26.04112793990362,23.892936128631927,23.085533524066303,22.30587300009548,25.560926433836258,27.02746092055241,29.0523588350062,28.491043899211874,34.70150909214281,32.18230248882457,35.50641421383475,33.57940284208344,33.828082722617864,32.37932844031892,30.8844256464072,29.607594944031817,29.357518391471448,25.74713768643421,25.289661112655857,27.02263216502214,28.976425093127826,28.282120888366943,32.570176065129054,30.48558529503224,33.93881830982748,31.29229667065117,29.980868875106616,25.50683264658591,27.20768051004671,23.18223521546197,25.118702584628817,23.19747348318596,26.334231788694286,25.175907446193886,24.971673823762703,24.433741828371325,23.328348292082236,24.749868551699286,21.180770575143796,24.576641835961883,23.222224806008395,20.676422663355623,20.592707751475345,16.54145250446281,14.012010311134452,11.515341192148066,8.960664583356788,9.505720412431483,7.792364951721437,11.681011137827904,11.581936455841678,17.165090745775302,16.152694859816023,13.704465547048663,11.218661003670977,7.1774582625621,5.179215492471667,5.727889204265421,5.805694832904328,10.355578804990794,11.535382159414121,15.228676222454354,18.756598439521095,18.909266070855733,23.354948069515903,22.41873573436719,23.206026411637062,18.43216562406448,14.141536355474903,13.307714769729824,9.741928976113044,7.201923571550666,9.847625135342284,11.684127734649287,16.4308787930002,15.75636761338185,13.381070750555669,16.72476283230364,16.133932856652788,12.978788349572602,13.775231314892121,14.501210328405204,13.95504873968061,17.202256795716963,18.7424455632701,23.38638132342604,25.642499473692986,25.230720493218964,23.823541723307212,20.37752533372185,20.44118551196891,19.183602465963688,18.337694575860656,15.686295664879285,18.052453941296886,15.146782374439049,19.84060072119063,19.573911441122863,16.98538674095002,19.763293851269978,21.314795829794868,19.320992399573186,15.40907708258578,16.15289975006668,13.92643014381949,17.82393759668249,19.847539870010237,21.288179336173826,23.228681516991184,22.016635891657913,27.377987266482886,25.72736096527823,26.840243446567353,24.845203768348696,21.74864058998396,25.377182528640596,27.22263140922204,24.074638437625595,26.28550401277924,24.738258646768596,29.29686920965543,27.615820765491772,28.40213716988045,28.598085596771753,25.825703890421977,25.57607595016627,23.853478188555457,25.10558248314698,26.385829179755774,22.29639472038406,24.83928475967713,23.832044413271316,22.856208131012867,26.86878535620266,25.831068607035935,21.773085077681262,23.80747283440145,27.27334405728248,23.834097183975587,21.12373630887276,26.007234268726894,28.357751548172782,23.529134457700664,25.206728560595664,28.83360742857063,26.75135390167622,24.56313043449375,28.717762309247384,27.224607096932203,32.6391769048584,31.04140033494509,30.518012849830534,34.058957693557,37.46551146905864,41.01536484066823,41.9576466705591,42.714801894455874,39.6020710475234,40.75598786049885,37.2941192353415,40.72439314098492,40.66419821257939,34.227634401652296,35.71759316107633,39.20507927761606,35.62890096624123,32.472723798549076,34.491573750349914,35.569911869995664,31.910653335478017,28.738298261290836,27.409569238866244,28.212047102424158,31.7299259247442,32.33477390999829,33.878246929993786,37.252254030531574,33.80499151175943,30.401682545793356,34.039690664201956,34.14935425440575,29.09409755809703,29.400710242874165,32.46027056636559,30.842272928784624,28.43650671545408,33.338056534075186,34.37012170351736,30.663413558021066,32.35627836368223,36.08142574060536,34.502705970511755,36.104586924371326,33.80049799092935,37.18505825740951,37.13089963784722,31.384932477193953,33.45171402084344,35.77813980183295,33.24758179419928,30.174695411734437,35.75653253640415,35.87186886523664,30.411002665396136,30.962813724872632,36.203048199739285,35.16703246858784,31.298186572418288,27.35719474882514,31.451402897278594,28.10327941231158,30.268176336255234,25.121052951224605,24.148204074827245,20.908576264245557,20.539418377908643,20.283547107170346,22.60456300272488,21.371855722608416,22.792336083011836,17.672944096219158,19.11953856166022,14.328573749237732,17.03962908789475,20.23722356051829,23.56574343333096,22.382519962105746,18.064805817608818,21.467938888265117,23.604464057674576,18.90904411089612,18.61266104086469,23.24697359322402,26.32056590534195,28.338860320341983,29.532693112428827,30.2211766770558],[20.38545082869366,18.069549357899223,16.54314015559136,11.946471586617486,11.138556746905902,10.463162355004737,8.403799951576357,12.303095499409489,10.761812525895715,9.549456295417471,12.841348658795416,16.17453707271293,13.904031522640775,11.994206563288659,17.181925631761366,18.207013787812176,15.62956274210767,19.881319391114165,21.819801446347633,23.912257524111034,27.185098056189656,30.820262002227476,31.027578244177867,30.43447573254425,26.942287750629433,23.525757048003523,21.688061914903987,18.07301772602774,19.42560514631459,19.71813017498228,23.406804834505184,23.22677933664299,27.148521185614683,30.21234067012424,27.48708806385046,25.11599161544763,24.45114233014593,24.20009634778871,23.71175236094562,29.284445182110293,26.414210361239792,27.148516151650448,31.49243740132827,30.932383953267912,33.241446977989845,32.62252286787794,36.484557536506685,35.087587156799806,30.74671662892608,34.38754475823228,36.59774349178679,35.78689243914271,37.706191012851306,33.07874839500245,38.01530754197412,40.76027442906739,36.84679857212079,35.702069137420104,40.51511193009024,41.01891456893456,36.5167101840834,37.928103858039755,36.14143919047423,37.821880395602975,35.374214208324574,31.68398967398002,29.117704552758404,26.329202992251563,23.96125744051329,22.38890634107731,21.65148125035998,24.65998162644878,26.200789810586038,28.90845972426347,28.15676991306379,34.55092691646177,32.54795644148697,35.57705794902577,34.08157431880325,34.89229885784538,33.31585307139969,32.40628516578233,30.761593114704354,31.17310174408111,27.78776458846961,26.669603458801344,28.337112740542672,29.58429772549385,28.8897520150158,32.496360251965335,30.187023986962977,33.320639930650216,30.28637680567907,28.650500838168963,23.983623184173403,25.155289499715472,20.910653839021915,23.260663801475758,21.15640485073566,24.09294748278733,23.942325232762485,23.930851045314668,24.210620644236897,23.297215765923923,25.79407786624204,22.044687340153388,25.588404454461525,24.7354612458662,21.762066355710427,21.107508043351107,16.724066274175676,14.72548452383466,11.056963054864546,9.95380636161983,9.52422535009914,9.310453930696784,12.889004538193433,13.796067583025128,18.51414867744604,16.549616936561744,13.885735310775688,10.749453797998944,7.9983586155038395,5.501171385657048,4.326534180981168,7.722169312354583,10.603742467729562,13.102899720972323,16.841908340179142,20.59618825477259,21.300445318388746,25.687468010040565,25.322389055177073,25.556543280033157,21.379007562693513,16.92360563642286,16.428517428842767,13.379545306421992,11.321100642155242,13.433725718492056,15.47021734958759,19.975131454168793,18.590131916933323,16.210186618360495,19.276883745414413,17.70905898353992,14.674518399144842,14.400230122787098,14.885587330746958,13.038874597693638,16.17378292824067,16.551770918488163,21.397349315132992,22.74777478481279,22.553572004602756,21.83766548516046,18.724629789962663,19.46530369581449,18.654682235513192,18.757348851296875,17.341234793679327,19.555233164528932,17.86114981447041,22.332308254138475,22.7953247924117,20.91333235418697,23.59792370375167,25.485435993232308,23.392083360928467,19.54099700905849,19.914758682311998,17.483322678509147,20.778528031034902,22.24506551925725,23.071475772295962,24.39270316419259,22.615432657203577,28.06478911126156,27.191187445945914,28.381194097415,27.185514680326623,23.65823410308597,27.93198078752714,30.164676222158214,27.164879773320028,29.351166853230044,27.641759355734138,32.41518008858205,31.22909567820472,32.0793086510975,32.4696662273208,29.47754214658619,29.306216884141623,27.411796560393274,28.453716599714006,29.53542253591515,25.20604567367647,27.274871374995083,25.836544432960427,24.32039957355075,28.005961925748462,26.36232047976734,22.385724446960968,24.611662112197987,27.576711356847312,23.59894149964224,21.349563327588513,26.073810469827453,27.72953053862811,22.601086930098393,24.515654569649772,27.879275280579318,25.202640744928722,23.110758945622525,27.597927814994335,26.64643576457658,31.85031504674115,31.26172879886569,30.669968145525527,33.92908211403497,37.786321628998415,40.91773023356027,42.47938803734961,43.13778477417209,40.22895617962463,41.49608907027738,38.07164275380629,41.8943033199376,41.816394375199124,35.446166586470724,37.151113248294195,40.95066380570492,37.39779655159607,34.346119557771246,36.726563585791276,37.89174298464601,34.069103273818826,31.288472402365873,29.28864209092477,29.96426543607544,33.259747222448134,33.264243320591376,34.5746921542483,37.50371589213858,33.97713895796228,30.81766303247575,33.93262079492153,33.66740278856205,28.666834777304203,28.988458030804424,31.49594135061192,29.516040098037323,27.30789040990222,32.33440358796952,32.888381903991714,28.88454110573386,31.064502760151424,34.92121104188831,33.75985106518716,35.64456638215741,33.645651419867875,37.35460890025324,37.06104586727176,31.405300906399038,33.99438270822115,36.3573661990234,33.70537570337214,31.12332364941044,36.937655388041215,36.9126547555137,31.52915920137452,32.59596094005837,37.83293947267475,36.64139426341013,32.81608290359237,28.61850517692738,32.93402119143785,29.346276996118313,30.874809221836045,25.572600218089132,24.45680344557354,20.57013094926989,20.739721085189036,21.129299511675093,24.002591425358677,23.122019447502208,24.159432220211116,18.96323443165968,20.60415778912432,15.548067632443308,17.05112344529961,19.938264617426043,22.86192472992627,21.183076148235386,17.004845186593613,20.129017941195208,21.661537998714866,16.689761842912286,16.433817285899803,21.162267610797816,23.759734291944927,25.824036457562606,27.163201400495463,27.942445744782223],[23.28711691455111,21.43228077712274,20.616496141974704,15.711581709331453,15.698168820591473,14.394005046013667,12.24946581943047,15.463086026609666,12.628699142088985,10.437545170964327,12.731282715525214,16.77774964421681,14.57062529609771,11.185306287348252,16.28526511949909,17.993713931270495,15.281594125341114,18.92917270076748,20.25580222808623,23.162170119050025,26.04674835334856,30.082959074263762,30.010767892114412,29.385925334420552,26.269972796250926,22.4674676054781,21.41932241737552,17.886749522897496,19.360556198953972,20.213793802238055,22.68253178609455,23.63800521586709,27.22397761624955,29.9563194864026,27.64159515042046,25.032538562273512,25.255696372342573,24.65744179219949,24.464901650918392,30.42839266978298,27.053106246891957,27.05874942533235,31.548019877860696,31.02081935559261,32.920131603333246,32.33164907559464,36.29452815953407,35.25187301680522,31.135006399165665,35.14014285224028,37.40902295397816,36.99149240015196,38.598715225929325,34.02755204607281,39.05109859587601,41.300898469332914,37.09173511765162,36.085118506612496,40.789435322733986,40.96994974271659,36.16146876699519,37.305690354127485,35.45707657037863,36.630491078329385,34.40699640442027,31.004656727688758,27.61822228719122,25.007167869343238,21.84935523130408,20.294444792766335,19.001316128350247,21.561200891439576,23.73174803280117,26.633812235196984,26.547918754398573,33.05648461728347,31.630699552937777,34.86185175755816,33.813441340777516,34.92333566392908,33.92698632645383,33.46245147036536,32.335947802276806,33.04059037957834,29.425954636531284,27.98384602525308,28.91736842016274,30.345610920960336,28.771995592757666,32.28552282307332,29.417191127563573,32.048590260153134,29.049954923466533,27.773136594750085,23.207002173529027,23.973681451412805,19.77464002438843,23.227975929498538,21.727536724676856,25.325050987069776,25.214781879064276,26.239698923903806,26.23129957360504,26.239732875297204,29.001861217542857,25.681918683509156,29.52833634016911,28.894475292221934,26.152085578013615,25.239146461607323,21.01014738757244,18.556459443263137,14.657367491381473,13.166302224901315,10.99312957933209,10.283604041861913,12.689440752616692,13.193949782590288,16.840674522041876,15.114970178614149,11.895871128034887,9.264798990010709,6.932144489229963,6.567769345460163,7.608064500590567,11.516489665330297,15.124308396939064,17.326764623422676,21.16857629830817,24.573967913041887,25.524682159794274,29.855530719240132,29.13290824297621,29.261000846035813,25.009477318453555,20.52450817251601,20.379361503798986,16.694700940032472,13.81960060595396,15.377189961567517,16.008023448925357,20.189026929970296,18.608453810210666,16.97356823218625,20.131027851312492,18.604804660696203,15.977168464237355,16.204202674667844,17.553286522531614,15.757923578399007,19.44065343814123,19.10163140922457,24.105535397710582,24.85898091442971,24.20161996182113,23.826771949525355,20.600834603756166,22.121665180379633,20.67420423724642,21.786164164570586,20.110814856131995,21.31733955830582,19.666364370467473,24.05461111579767,24.99986285132325,22.972229237635116,26.28057137379015,27.956427972598103,26.356971314975922,22.322842887984745,23.049486525889396,20.322780739770824,23.531749916903735,24.86134722540052,25.42550746572234,26.931876486986635,24.542520541686407,30.16955206776696,29.267760621883895,30.897773939038498,29.704381573185845,26.836153067412717,31.134670846321168,33.25583107687379,30.06758419682416,31.535781795426963,29.268696930965543,34.02851135773704,32.54337537101281,34.038972860656585,34.70222878764307,31.991074970505505,32.27520559043997,30.743138657856207,32.08646387367048,33.454299016263754,29.317250890665655,31.612903063161657,30.33909704902564,28.884708483629964,32.637508258633275,30.95887030527186,27.0054354674865,29.23101494508717,32.17317201111021,28.120268447481827,25.818414510673698,30.52444726825089,32.09706658010964,26.80321274572527,28.631190013419072,31.93705319341835,29.067004983525816,26.792444511113334,31.282321244966624,30.508758665815414,35.78586646510894,35.26107194894018,34.919589959757175,38.17478075033084,42.16198055631937,45.241422688800355,46.96356754204821,47.686274915375805,44.83137628729619,46.124795872002395,42.692005673118665,46.51738354432706,46.448327505980124,40.073636358755174,41.75682572683857,45.52557491453145,41.947672845910716,38.89030495288565,41.17332984223043,42.28875683192495,38.47976794422778,35.62345005993825,33.82087377907159,34.470118139503185,37.807398447145744,37.87144159659097,39.084956176957604,41.97453021870575,38.3329247078939,35.32404522892439,38.40725632161003,37.96085750016927,32.9947374998345,33.43094689074815,35.73400812967315,33.59909799045453,31.525558770950184,36.571626581887074,36.894611056219425,32.73511423989471,35.11763375257786,39.027947814843294,38.0281874617136,40.04809179064563,38.15370791521125,41.918255295535964,41.52670064295685,35.895779915757146,38.59626047714085,40.8957432768817,38.17124447296883,35.678007917642425,41.48738693746714,41.314651752176296,35.89692790430769,37.04431300611906,42.22434134259106,40.86057738266383,36.98122063385721,32.699264026491846,36.77692281582787,32.96348907266003,34.634586654994635,29.281644372444262,28.553002135207645,24.575537820387645,24.38365169012642,25.055551613544452,27.84491631691804,27.221918627133427,28.570810648133218,23.49436300993146,25.194412884080183,20.146897580501033,21.64789240667561,24.380467625736,27.213214712999005,25.21238161035311,21.293386408309242,24.324914035198873,25.49136916682148,20.366081537963538,20.210468547153212,24.885797723680774,27.088932745754928,29.104822553464018,30.436032448033508,31.103595405138744],[24.25509373810137,22.519979066849277,21.34140526315399,17.28191997867715,16.362026457175435,13.827788357369881,10.680568999063958,12.616507349828964,9.304630015673121,6.007742488593965,8.04397868846693,12.168909184262874,9.861678232195436,6.41103761433639,11.60239155115803,13.296433700076623,11.154103006793342,15.152250710567087,17.489370502956866,20.117876704833925,23.476556813497417,27.487879406479195,27.91740348317544,27.880360185317528,24.479403762080665,20.595290914336445,19.10984042959365,15.097506038181718,15.652355539613396,15.921539654639524,18.215520278075477,18.944493904533683,22.44490990145252,25.358339648553837,23.177586268304044,20.906463642349422,21.04046989884297,21.206025018686887,21.54789587976151,27.684130655587687,24.95544601957585,24.466519769406442,28.960313883869276,29.032124342781227,31.31139137379978,31.282120422890216,35.149046581170275,33.61279233080332,29.873520964110774,34.10153599664428,35.73355389742547,35.11710899313902,36.308613224797995,31.53636916015912,36.22315996779981,38.615438447335,34.52775305905294,32.958304473410244,37.621817197400865,38.272774290499044,33.31485644988598,34.04217911858073,31.861682196373394,33.496184098231,31.521576515102307,27.784002227643153,24.63568576549119,21.512381636805358,18.87923018372293,16.747837020312442,16.070318511087507,18.946622478429408,20.396059561493786,23.5379448222193,22.769290536487066,29.25735150147359,27.852598407427703,30.761961903231263,29.82376545382165,31.236124265357294,30.017535864602333,29.957559822656112,28.581183506301457,29.812992208764328,26.44336149767467,24.459230840426972,25.385925858739874,26.24706859000944,24.869096268168214,27.941728383007053,25.171058136624215,27.866489888245248,24.699593649328502,23.173536928420575,18.53355254861416,19.40365352296196,15.17652551382148,18.382540488712877,16.920664924976183,20.7430951174257,20.525354410577837,21.992852324695658,21.987651683523687,22.564780394854875,25.891587111072393,22.959110568798316,27.137901998556075,27.13993777020866,24.7085753466515,23.070854624116226,19.227604652649305,16.32568193514313,12.091914521760032,11.04216962008194,7.681879976585495,8.443875510977959,10.267205939638684,12.280210921909761,15.196697119792283,12.223888200974443,9.614826277752508,6.222931185200148,6.503308019519153,5.44911928956748,6.1252650368728725,10.895720264889277,14.361709530747193,16.293988476428062,20.134605867627716,22.91206252060809,24.89302662344941,28.861862959039314,28.247349182111193,27.555554136518666,24.034076276155456,19.490299636623714,20.593103178210868,16.78175848125858,14.354755155833127,14.884729525853887,16.46004560853857,20.04261426004281,17.48336684157172,15.580760247213579,18.120335759904634,15.638978999776405,13.3113197918857,12.719641401584656,14.210353176599416,12.135363726869148,16.152854267596926,15.409961658192874,20.428811804882095,21.340443770015753,20.06967041993199,19.546522080476205,16.20993743274147,18.18635947349502,16.46824538685205,18.473527739845963,17.45784332034343,18.150709363526417,17.75639741033344,21.684489671052706,23.502171570430566,22.63362404876,25.862020701450145,28.231303647252744,26.88713912015114,22.820217583927047,22.92717159824573,19.686032431335157,21.922651028728943,22.55487650230095,22.46326057087132,23.5502296918481,20.671015144528937,26.276668073333827,25.875404216798334,27.667948072853623,27.166537739145575,24.33884226095428,29.129664400843048,31.56954559313871,28.512675630771945,29.663023517188048,27.206443962744586,32.15115535578278,31.475676529221936,32.99277361460085,34.053624862540175,31.05370691197655,31.752032430095074,30.27796142851004,31.638071114860445,33.22457631948595,29.254326504605032,31.352398874219592,30.381811343768522,28.283637595174056,32.24549622460814,30.053998590608007,26.34074468125308,29.331280808821404,31.922086097958754,27.751124298697423,26.475692290947272,30.997099968402043,31.88621027127153,27.129190447317292,29.465138944899703,32.49597892638559,29.334268960372057,27.79557410480066,32.53057412994151,31.950926932164794,36.76821818392094,36.90289341890818,35.9942194820862,38.99451106602105,42.90236236288678,45.73435427203361,47.3989582293865,47.6972488154396,44.69128488812476,45.62862867625583,41.895254224227045,45.84362087791811,46.21905004397091,39.92063258445245,41.222363799103256,45.37687020286396,42.17091485402267,38.88124142082337,41.02607117696262,42.78198843639606,39.16892675450129,35.853652746505446,34.006446146064576,33.745928063247426,36.98207327998079,36.99128731844562,37.64419045528209,40.40239712866899,36.40740371216682,33.91006950821664,37.109173142538204,36.149267436016025,31.267649043216096,32.35137924008573,34.417722503701846,32.176645718823096,30.689798872779708,35.80558821845186,35.94836598887364,32.0625888760631,34.89632893186718,38.71125314575306,37.92393135042785,39.630100486712706,37.50986206528966,41.42839020129606,41.493769960494966,35.98385527979502,38.4664829244694,41.20494970286502,38.74734087037228,36.14534154593146,41.96773981606659,42.319256280292514,37.051110875028556,37.920382288300665,43.271250367004285,42.37495647045278,38.62581185377766,34.518709288997364,38.98274707583051,35.48329692315511,36.824558537087704,31.538462300676073,30.13989864642612,26.06611215054953,26.69635737565104,27.132956147246837,30.085188172809485,29.01169015743863,29.66839400067291,24.207332509790522,25.160935622156206,19.999381486110632,21.42561776495552,23.06134945870555,25.883013069194494,23.187159380521745,20.02762615924767,23.609161183686297,24.138979905798386,18.683173241985813,19.88832629681016,24.531872232534315,26.304465833308203,28.43256285237253,29.975024396123608,30.893857510915606],[21.685476709859667,20.526265259465184,19.99164304481701,16.55836732124161,16.524194853693505,12.079063128284938,9.489837758753579,10.44929026750839,6.016907812911637,4.895212381344717,6.088646435359603,9.6433569461816,9.868753944359026,7.132306629242574,11.702676286477194,13.720130852835501,13.277279274914031,17.478395031994165,20.73647423413086,23.155062913955177,26.820287462199147,30.776479987762286,31.561735885668824,31.897021832395577,28.386716545651353,24.51894749808356,22.764978349624503,18.514563367814198,18.07935859567265,17.212399825110346,18.980919679292757,18.990504599991592,22.02212030218668,25.617772617134932,23.91819740957146,22.47373346126328,22.182029701303474,23.642140857405575,24.433772569619656,30.475276414871406,28.45440406906513,27.779596586576346,32.18688742849347,32.685605500962104,35.22769746492997,35.46991721828813,39.25488354952169,37.42004703095497,33.845877577768675,38.0542397632239,39.33838738422961,38.45908404839206,39.478947746317345,34.57310103624176,38.88825436005403,41.555458789230705,37.6755304667507,35.5690057828077,40.16453222404854,41.31731686338136,36.298246941817524,36.56851908850821,33.98861593100689,36.07609601367897,34.45444639913703,30.454640180247864,27.45634556677282,23.844143109606293,21.572784756428955,18.635675168869277,18.399040542191926,20.942172504886127,22.03152854411617,25.75719045007348,24.413414683192578,30.77348253260254,29.72601096155056,32.0583129422823,31.419268898379514,33.262631499353745,31.616323229131307,31.9534513292244,29.93771849711677,31.667833876282362,28.76352223893574,26.372425681831455,27.59833218624848,27.527922369345614,26.708114944839334,28.873419151006473,26.25388701627347,28.71068403669221,25.130637795085704,23.004096422118163,18.27307451941099,18.505997487956446,14.143170567802748,17.173081439970566,15.181283582965031,18.18824801645641,19.44187374476841,20.616199286792927,21.799268620770007,22.14947080762928,26.388718438177012,23.21892959460074,27.22766804910706,27.640689202456787,24.82962705744774,22.790666077789574,18.87353379442965,16.8933488242899,12.212510614086352,12.897738949159644,10.235305977429409,12.31050898498481,14.167339722178546,16.790588072609356,19.31750672950118,15.666201989607538,13.565458781399007,10.153897541658404,11.242031465538732,9.456376225377248,8.059929207725942,13.162440786946034,14.715384380788283,17.477751854028963,21.013580604583293,23.968211442950224,26.233360968793836,30.059330134660577,30.116436455743397,29.02418482709043,26.134017165080067,21.643348017826156,22.7284978652091,19.671393467713873,17.9336781575745,18.627941878047153,20.929889236886538,24.50568407304497,21.735341777489857,19.552282761446364,21.708281890524386,18.574476280020843,16.37087618333643,14.566189994916261,15.158082395946671,11.839583326866723,14.961852983743038,12.873256189627876,17.750909781120075,17.572598209142843,16.741868571009714,17.124485158936263,14.55342591428785,17.02111600802875,16.317129163482154,18.830919114802622,19.277767905981158,20.3177345217589,20.95565220109288,24.561621436771883,26.621773819932372,26.30524245410228,29.080627293685556,31.7468346880376,30.05860508409144,26.15890233036449,25.873799829304236,22.757330433726843,24.58039060103507,24.815088762595714,24.30916225094831,24.61531941323797,21.602583802816657,26.915198294067878,27.395272530081694,28.96416921756996,29.2629960301732,25.783004828769318,30.998355605685056,33.78766350282104,31.01851092334291,32.52287164589231,30.296162430577414,35.325540884862534,35.225178691241,36.42214451027687,37.469897733921556,34.17766898618577,34.67215347697328,32.88278748259663,33.90112195145114,35.15430433132074,30.956895408901975,32.51458434878545,31.13773257464559,28.57743414048931,32.10583419798052,29.39034674270044,25.922468669467776,29.034870433826494,31.04240561923184,26.54153577009017,25.91668796755584,30.07087124383941,30.191390959329464,25.503887998921062,28.065231301778496,30.68402282162392,27.06945807318124,25.915928433540234,30.799597855261144,30.734020525195803,35.08273650400701,36.237881744272265,35.128817956342004,37.75112244317052,41.9448563570417,44.313461387991865,46.48498087842336,46.61685904018931,43.82436277791212,44.81818129219824,41.165067407234204,45.44232001915996,45.820747369103444,39.69488926024351,41.16261929693182,45.58649728772986,42.47713856564555,39.32501760000594,41.803183337196785,43.662143884487385,39.95373292689349,37.04606614959103,34.56316750559773,34.162547220148724,37.10097770104022,36.50756213274617,36.91759302516722,39.172343716349744,35.20204505377985,32.999814173780145,35.60624743776563,34.29658567566823,29.614243709299714,30.71100171553022,32.17862377740922,29.658361646829004,28.483793273523105,33.56204016574626,33.24758578575838,29.263300382920225,32.52870630496298,36.33853723805515,35.97253598724614,37.83155681372331,36.00512782928578,40.1536226453979,40.0659861142806,34.784608485500186,37.640512162408164,40.42194232677224,37.957724950403666,35.829146048698505,41.74894762281686,42.0664658735227,37.001884875013594,38.25678222770094,43.551803620697285,42.63243723294837,39.01806160298305,34.825609571528155,39.509828462554076,35.99432322734336,36.66416454291552,31.429297294428476,29.737769379062406,25.317693605910396,26.617383199689943,27.428631435839435,30.758940576677734,29.86230882902927,30.01470461424607,24.63510507944172,25.618856373436543,20.525824387453994,20.835861207126708,21.946910230787154,24.2165190281235,21.143166464392017,18.443825520535015,21.585931698297976,21.391015686082618,15.997708163956387,17.50094074897428,21.87000603831643,23.00639455258698,25.114402132642727,26.789522249977328,27.851530911196843],[24.818112279135914,23.9502844986513,23.57796388284727,20.317581243470975,20.203201127134157,15.54386334956492,12.795894257352682,12.75494995592642,8.036771271469362,6.099325231320718,4.731473335523643,8.47812430209191,9.412713525110075,5.911535095981709,9.351072447392678,12.029596248271732,12.399211904415944,15.999496932372836,19.425266353915863,22.10784381640503,25.681576835861687,29.775592368425556,30.675960346776336,31.34336850371085,28.007055319376306,23.99079659043363,22.554027777889523,18.31580535693016,17.31155798697429,16.366596755308432,16.760093079936542,17.46641275934283,19.939517944442738,23.413889379564413,22.272501468018472,21.047725746595233,21.33133665856198,23.10114180260853,24.401673159798566,30.588700423504896,28.69377996935171,27.30150672751172,31.679354305090587,32.54536353121586,34.997086787699395,35.56331877544708,39.28875005541422,37.42866741224505,34.258843128327534,38.71958804721307,39.68324412723178,38.940372812954564,39.52837720040273,34.62526604247471,38.716417518926654,41.120537089535894,37.18907994478364,34.85216376168256,39.271458979220164,40.501315099209,35.26399052833919,35.04992583324628,32.219425417711456,34.239741996069405,33.00160029904824,29.06124505746991,25.711758953744244,21.939969193417575,19.55575855213163,16.16595713180974,16.029983877912734,18.216283306552064,19.196268210019305,23.280176795200124,21.932138211733353,28.217444752772984,27.7130072386048,29.863580692139735,29.691830669375822,31.959185479221755,30.58244612028937,31.496439969809472,29.684266527944125,31.895194029371552,29.075236054029894,26.21997902466609,26.93264678394702,26.55302298430778,25.295380786653578,26.91948243968096,23.99444865533623,25.990779474343544,22.297616044002847,20.218439989027654,15.609278041101268,15.336145386831932,11.025479945632723,14.915725676414104,13.539370175254563,17.06994528968171,18.45411533247537,20.67055043709236,21.70012285209862,22.99203099193578,27.58793483023685,24.95922938339436,29.185062412578954,30.000851805249653,27.513173481659692,25.083505818455755,21.55630097059061,19.223626446211433,14.652226639669498,15.211960515355708,11.620567370340193,13.83521900910507,14.617562536141529,17.5277716122538,18.827807943296335,14.795474870992637,13.039873319051425,10.152785265838554,12.62326091871581,11.657175322041667,11.104238059480044,16.08520972710646,17.989579888470956,20.377847606260424,23.881994637705457,26.34131690358834,29.09466731812591,32.70280342022361,32.60610291859947,31.12622559649066,28.546722781142517,24.10457884136295,25.771382970376308,22.401355206582622,20.481052635065808,20.597029599119814,22.539445846494864,25.59537604566498,22.383707997074556,20.57059037954512,22.365899632566865,18.90761344236604,17.260087399926707,15.413251210329856,16.482819664562985,13.336508470610957,16.619808152938127,13.925793582685658,18.518912017918133,17.89420988675225,16.31158862689724,16.976738843113232,14.517234083501984,17.746762656404417,16.557017086104807,20.11535434610765,20.745794082708517,20.91566837360474,22.195582745251205,25.391275559245855,28.069738763955915,28.18083202117371,31.189101780934585,34.001409181484796,32.67312874939278,28.70290467134962,28.363456886151553,24.96564199674728,26.314197674965644,26.152446578461824,25.18108121566284,25.337495235067717,21.76739018576438,26.97008918132518,27.754956667624107,29.635275982750997,30.31228272130256,27.303912867951922,32.65516305793651,35.49036445454428,32.72246939841894,33.658804353822035,31.070899776720797,36.0889316055962,36.23275007301243,37.77653363003857,39.14480250894613,35.90942555230578,36.82191995886134,35.26371630741296,36.43954143133842,37.92882399492945,33.929601460261345,35.52807717914086,34.38256224435318,31.63328699073669,35.26361306548892,32.35844772514642,29.049236868103357,32.42846825930562,34.28160320968323,29.768759364567696,29.505011902059685,33.55461215342917,33.3672016106581,28.899168691186947,31.576671765833716,34.03201278612116,30.26088004507876,29.334652811188604,34.24600024684167,34.331801496378475,38.49933053444534,39.92750243653049,38.72096051849189,41.22644631018613,45.422418000400945,47.645361388184654,49.8604097848323,49.83279911442395,47.01127085902746,47.84599251041418,44.07119010971008,48.37477842386002,48.96397972414506,42.90088038749422,44.17193097350491,48.72753487616964,45.78288834390223,42.535487739636245,44.88136435560617,46.9880569718958,43.383641147857126,40.23796868601277,37.87012047654153,37.07394661743513,39.972350206627134,39.40353679796776,39.496778470532604,41.64215181687541,37.480997524954034,35.64143547484573,38.25665434294961,36.60883776767091,32.07175321125921,33.52143818639687,34.74135995847199,32.12791723249949,31.335547523595523,36.36917310752219,35.8407207652985,31.976018270851018,35.50761924382121,39.24943721343518,39.07410153628678,40.83902737445143,38.98033389324847,43.18805085592655,43.26183867884852,38.08886725752933,40.872473627919135,43.797142391794424,41.427297294626435,39.29381538100954,45.18516517248649,45.65512858645238,40.645450513228425,41.80536551549385,47.13367918319149,46.32870566015461,42.74098995942406,38.58706896110173,43.297753863355,39.7993197733911,40.438526769011986,35.214727587369005,33.47047997822854,29.025949297789822,30.40693919938263,31.227593640261084,34.55111783816459,33.592274111783446,33.65938454279597,28.211502381683474,28.93657430802219,23.86626330387142,24.23132625932753,24.83058545620024,27.002118849064836,23.534204534665527,21.418537663026527,24.651829623090762,23.992069368438898,18.630336877500714,20.69697225793086,24.85768272301292,25.535394817034103,27.610691482224816,29.322120064653344,30.403330696714065],[27.255399057893975,26.435872631314478,26.358362937865806,22.43563499045219,22.71125625013967,18.701114526205554,16.104806681518365,16.78299136876843,12.149571192160797,9.649009889559338,8.484564905232883,12.410031813509065,12.443984386595595,7.850504938720414,10.940392875176299,14.037339562492114,13.633601925422154,16.396941056018296,18.769337406870967,22.216186818620017,25.234568761870587,29.6265968961827,30.10739432541041,30.55070934596407,27.636144154264603,23.398799165932143,22.74477401474538,18.82674354705049,18.39615574217525,18.385776144561042,17.89264172534644,19.867974313829446,22.12661085395096,24.979394038482297,24.05815310779326,22.35015119484396,23.467483269876606,24.38279623730383,25.615025526822265,31.97900849552565,29.419448981202105,27.687265893372217,32.14369875184558,32.78573743482233,34.76612532458198,35.1667448751981,38.97262836515114,37.56679207240897,34.45139064959424,39.07833026518564,40.31538269483999,39.95494886459728,40.47809001064191,35.72778632698273,40.0375116741581,41.96819692546856,37.76157513480596,35.81470577375303,40.14667685883351,40.8880049794781,35.49511770330848,35.26536965078683,32.575010460504025,33.930763162540906,32.76711738255092,29.243283076676924,25.12296374145918,21.77603142700293,18.460534277052844,15.362014843003637,14.387608089241589,15.98347125941515,17.912325996897255,22.06428002808968,21.678584514417704,28.046603149402543,28.010854082278357,30.530470780374113,30.653343017831475,32.959519369175005,32.21662413680525,33.23338006319124,32.04164598465375,34.13612058060068,30.989749238974955,28.21715216212817,28.327842162447297,28.491003444716945,26.361743750466687,28.223055862270417,24.776678855716465,26.295832043245195,22.822683203984226,21.36454384855147,17.051731691429865,16.4639065691987,12.472517449142376,17.455652759215926,16.841940739412184,20.853414393609054,21.817311035706616,24.579389826468333,25.053683185401965,26.72602483042342,30.973982270006253,28.486960346403947,32.80590417593913,33.386573561043505,30.964444014932948,28.784265234361154,25.13926539758314,22.496387500474267,18.01600730896414,17.74069302870279,13.668787299879327,14.857402172594576,15.079444517055686,17.22821532345667,17.803624036747628,14.414660619683252,12.119045357798818,10.052483892271757,12.368269778795899,12.583439010677642,13.188236895342062,18.13262187925581,20.921182273202863,23.168854333930994,26.880883651537616,29.418847831208268,31.86863621640408,35.65989001607603,35.179391246581034,34.02060091477934,30.96673286406235,26.46450902836339,27.876677561217836,24.054979365571725,21.50502315051218,21.6438784843141,22.497914375019676,25.43055000446183,22.404685027663263,21.200602619725906,23.261280797410777,20.300775593198402,18.80233582647042,17.852990338198186,19.56304886498455,16.955921037251873,20.621445984241134,18.235300808386135,22.85270796975372,22.13029975037558,20.462356466771435,21.11737748531118,18.4851535118982,21.71834719967019,19.9881987662644,23.535657543437736,23.36149786054126,23.07134675109657,23.704839300210335,27.05390077506359,29.675795483556904,29.243545568438734,32.70607842573484,35.14421115781347,34.06626276331783,29.958801720811508,30.061496258953103,26.632158626805655,28.357907584579575,28.455428473163384,27.670291210316826,28.29289592240078,24.600427300064247,29.944896224426532,30.294924040080716,32.440547857463706,32.67660405114375,30.19205120610903,35.28943925463032,37.8773126464712,34.88473514687297,35.42140676716913,32.50209516586939,37.4178251892085,37.01773763962284,39.02221965595389,40.44182905601264,37.520730350448815,38.611074026498365,37.295233028476886,38.71052819921953,40.36644102726677,36.423763273859166,38.34967530827667,37.26231886110422,34.85453458573398,38.59287733025319,35.96221885445775,32.46618117183552,35.573671536846604,37.71282249325587,33.237596138387204,32.39431061405885,36.64812246841657,36.85778247463425,32.03937232842063,34.46196535510965,37.107554789861595,33.42174907325065,32.030538605906,36.86052738277193,36.858392917108944,41.36047572443824,42.38276576494709,41.535787014865846,44.23313490007169,48.49205224869027,50.88844313238656,53.11313694310567,53.306355909979104,50.50315833665454,51.469811209277296,47.757071014505506,51.96500506701969,52.40639546710148,46.23353105558487,47.597206932305056,51.96845307323753,48.84096500172736,45.61303280648921,47.8949807181794,49.749818404085254,46.0814267856438,42.928883949402746,40.802858818596086,40.341836915850756,43.39597151846234,43.02186071673385,43.32963609049866,45.63623355410849,41.52202876683671,39.485581811601506,42.20369992672856,40.73251344155336,36.11228405722896,37.37353206029053,38.73285968677381,36.13800666230425,35.10215146735585,40.15541519272383,39.67598324772085,35.63043744858385,39.01147051360201,42.836438901219225,42.57360387668754,44.5026360435103,42.70409938094288,46.85644504717015,46.74710833439163,41.45352783119596,44.30955726510674,47.05562314148587,44.536226115803686,42.35947247997693,48.27137409651335,48.49286509858344,43.32802453216293,44.54802156482385,49.843673569985285,48.790505169264506,45.07520082509095,40.80281609748104,45.257854472917316,41.521339357197206,42.48316973791723,37.15899045866216,35.87311407803691,31.440523247604734,32.245863280450074,33.20263117949203,36.39262527449189,35.65126311367047,36.212616255967845,30.843910875001203,31.87495915154969,26.723352392265124,27.419756841667,28.552830752249232,30.862478030918993,27.607760431952574,25.126331757641456,28.252795139222435,27.870039126522787,22.528329817810835,23.985095925800234,28.248496911578954,29.059211503804434,31.07754789831568,32.67762630343916,33.57339550911533],[22.17629323325533,21.85481641542125,22.531793944400007,18.990214936299036,20.403674569237293,15.350433808329399,13.854570603185074,14.585306495740804,9.872296047864996,9.896946169845268,9.419715664509967,12.421151038211663,14.19968133420345,10.84589093229124,14.368928412579299,17.112697791513664,17.31990361727648,20.896736515230238,23.882440916863356,26.86797971397423,30.250899312313166,34.46654176046513,35.120163305696515,35.51200652972639,32.31168854927077,28.21444835027772,27.002041891364005,22.838977203066197,22.23848799617497,21.397964205044254,21.751311726635514,22.414103309531175,24.69665366723605,28.30150014897835,27.32382461138471,26.143928349537465,26.354294680178572,28.03888177251575,29.125939107868454,35.30813832554249,33.15210855938304,31.99987138037865,36.44131470124144,37.04986551670635,39.3382123147965,39.6084915508007,43.43541701861126,41.82401588073917,38.39662274746027,42.77429172288674,44.08686030649551,43.38044873632918,44.206062292321825,39.32755313826519,43.570936880163316,45.99244744872201,41.99647514577601,39.827879715228455,44.28326851239665,45.371866689745005,40.131963491475354,39.98931922994914,37.192835454531654,39.01007348826035,37.77304781703428,33.96300073897791,30.33373630119172,26.729636865118593,23.89903991268274,20.60754910215964,20.003530238733855,21.667592926428878,23.279020433159186,27.53076101676251,26.60591338986822,32.87883110382715,32.64432813063728,34.80340671122897,34.75619529893723,37.0381021051896,35.66522838353528,36.473932515328585,34.54888478807109,36.60323601726485,33.746606870569536,31.089336572774837,31.93876731580097,31.60746151660821,30.378750488275635,31.93766178298675,28.932833760539953,30.65429744245736,26.90746689977201,24.812469271504614,20.336312439260688,19.537789075337617,15.409321757948446,19.422910364073534,17.80925649577421,20.486015100878447,22.850104398072016,24.452922691589336,26.130145755217917,26.77084349611645,31.415865936277786,28.258859777552942,32.154489503658525,32.66871955045272,29.63159673549212,27.565791970854633,23.575705865323233,22.077758436704,17.365998503045606,18.277359733704106,15.459674794625533,17.223996164718656,18.638962475425302,20.941374633911924,22.68329973396395,19.15606954732782,16.83974114940398,13.983131073959298,15.233956474522493,14.17937543202969,13.138998564692123,18.25979733785177,19.426089524987965,22.583015617613054,26.032441529579295,29.185498428232794,31.29581408020195,35.180841178108096,35.392801750089895,34.34168851589896,31.45354557260589,26.957317412871383,27.690936260639557,24.721882370229896,22.751019713124315,23.638653894338496,25.33119747477658,28.895416293327308,26.164077690785998,24.348614802946923,26.56300372821357,23.433398553682437,21.44322553693085,19.731958615103142,20.393362246342342,16.860926239161678,19.504107309436925,16.487314203469385,20.89739973472245,19.19438387924702,18.720341260418607,20.19607483351551,18.34417334470214,21.329035764432135,20.894702430812014,23.891283249679145,24.629796272512557,25.41325949602702,26.1462521914845,29.709133278651947,31.895410733223226,31.384697350756568,34.31020129505049,36.79463599536094,35.06499544243951,31.134553405998602,31.04978587077174,28.002371665689616,29.951594851726874,30.16000420903023,29.514696098733456,29.662805238796974,26.39060004911528,31.5609083065736,32.3644591653126,34.02891805314632,34.54232127740949,31.096179742807397,36.37144168474947,39.18261155178211,36.4086865869374,37.79544029505195,35.40415432246959,40.41986859355985,40.1983666045546,41.61327883749005,42.687841467553625,39.48063345215544,39.974123808584885,38.17152582187577,39.15589852452541,40.283022066340024,35.95458810352209,37.393377730672654,35.70080688266363,33.17327511297941,36.33893476454189,33.499304097602824,30.120855677873642,32.91503946309176,34.650771606356805,29.96145525965291,29.24630982332761,33.182965389130416,33.00329098335592,28.034052142800874,30.408571551914275,32.761791042614625,28.837205222856348,27.494921142408025,32.30833325591792,32.70902406076607,36.911896838998274,38.63263171848699,37.81889876737207,40.242616991334614,44.78622968217302,46.84378465364568,49.57430382810935,49.823488364356706,47.32533161670571,48.55185031107634,45.1161240538034,49.57498744518638,49.749421037494045,43.729260287993945,45.4858819391796,49.90644622152666,46.67987177868314,43.73288754136586,46.455617797129555,48.069949562544586,44.20256708731294,41.73918634343112,38.94775771031941,38.85852220222777,41.659904622498395,40.69742731836018,41.13110639922872,43.02178156344924,39.201880113648315,37.094716518229205,39.14633520362049,37.7089777306729,33.237738128260034,34.07087000086689,35.017816052060965,32.259285722221165,31.144067284651623,36.08122624447108,35.30475156552603,31.039026912913897,34.52613202354814,38.37220470806847,38.37927718117865,40.61040938422504,39.23061994052539,43.49236837496401,42.981107964448746,37.875297483540045,41.19439086691423,43.73701100534621,41.09432431465926,39.45417794842736,45.42909207341317,45.36676588828869,40.37276066923538,42.107128080882006,47.24424544133591,45.97159376410936,42.36613105730364,37.970414858985706,42.49204962838134,38.67423022843394,39.04464463299887,33.80454076942131,32.46292506300206,27.790446848281466,28.971060703643275,30.351280294786203,33.83818351433208,33.43225362256376,33.73465413300123,28.65664099927562,30.060294438747214,25.05699529285219,24.72275056729385,25.96802967252223,27.750308243972977,24.663855170692237,22.125965348471908,24.475596546956456,23.829584824726677,18.870239460946056,19.7441028578557,23.686649211936192,24.16783444029043,26.097677748749184,27.71264376621666,28.64929594606162],[22.297994782124892,21.83992111914422,21.86763803067488,19.277588767842403,19.688215716040883,14.004800668318603,11.966945824868375,11.215787249790106,6.417179436231176,7.168448491838383,5.924998745442997,7.825258777929374,10.837856088681256,8.913466795874916,11.681124793865578,13.980406070961937,15.193400507798742,19.04558944469237,22.953706251951736,25.246220586510375,29.04886179958159,32.96055839410205,34.08413902508196,34.87370817900649,31.374265499576435,27.496559345818568,25.69908459439331,21.36581726925599,19.98954753113626,18.28080855762552,18.921169592007292,18.620846068381553,20.832289095168136,24.853017929231946,23.876942070110434,23.26342033529292,22.91487186331931,25.492766100001717,26.85839320401182,32.814775745791195,31.424091569461876,30.2584077337389,34.53150206471268,35.547083107138405,38.24357696347176,38.872000496058355,42.54277974292882,40.45203582815531,37.239470576724884,41.5493182651287,42.372531088212234,41.36031032390687,42.002387734175116,37.0287733655186,40.89193374424001,43.624795843054784,39.916950677915196,37.2793120382402,41.68641648203447,43.2841314333958,38.15353941160608,37.82022164797118,34.8278057109232,37.24750924961006,36.10383993172075,31.96500102782269,29.007177114752984,25.014345926290698,23.0893438032778,19.471674923579698,19.676359978862322,21.767368498339728,22.40062944519499,26.601839774007562,24.78064704153323,30.83200207722687,30.3228480408682,32.040038627171825,31.872105746694253,34.23949847006444,32.399319676149986,33.34775753375573,30.963224380664652,33.32509188057201,30.87133410826547,27.959476807758637,29.13042039684653,28.161229444594543,27.603694120205446,28.715149746545077,26.160589575409098,28.163365866719715,24.27744670876132,21.701373598999808,17.169174133406383,16.596005646630445,12.468645607637598,15.412308933750193,13.333001392421151,15.625173639421472,18.32147808881747,19.78963363295109,21.862619035789493,22.577670911991017,27.65336578758538,24.728006568874754,28.6490510979825,29.647672146873216,26.842417137346356,24.27193159948336,20.724690051470134,19.26462275799536,14.650138022927116,16.3244798821192,13.686832131035672,16.423109708805875,17.730400189956576,20.83972803643918,22.546257154404092,18.35363195589412,16.806340526464183,13.690057623095106,15.757862073230877,14.066802135630615,12.37069272211375,17.226160654032427,17.744276810179496,20.65242106748492,23.829289170081925,26.482246557466034,29.254334189460856,32.75156574921305,33.203920971307554,31.5649578521917,29.395718536051916,25.057304679969576,26.52440566079119,23.81220174629467,22.429419501541545,22.84084173927499,25.416653780669566,28.682785793653952,25.529286147817228,23.36022953172822,25.037675068414035,21.349802531404347,19.57656267544688,17.03954399212369,17.25302885095612,13.39681703099483,15.641887288734525,12.086241164820262,16.3135582988968,14.737200899034413,13.861064230191614,15.345469455604126,13.74908792928145,16.972525519209686,16.86969631549282,20.278784594364947,21.89106493629907,22.6466264800296,24.346148052228244,27.43724047847607,30.00326460664811,30.351635887295842,32.92473519690579,35.89698692257784,34.20840057884945,30.41054834027117,29.803315894406087,26.621769393728783,27.828513792510467,27.531884022863178,26.4569057593028,26.07587203035085,22.727994901265237,27.59664765766361,28.93710566493382,30.481870491530657,31.615011144801265,27.989448137382386,33.524710698715026,36.57707287690317,34.05559079444457,35.46726178907638,33.22741256438458,38.275436470778224,38.762846135722945,39.907810532292196,41.13777431721699,37.67273519614817,38.27870855570278,36.41882628459745,37.278251321999534,38.434581679755794,34.2574756238118,35.41843243356261,33.93573844284905,30.920656108007403,34.139824131444165,30.918534597542298,27.841444802532923,31.2051646870645,32.60257824655897,27.9355930769741,28.149834756505065,31.845209759051333,31.10484276447739,26.79311758458107,29.59041710674103,31.69685508715892,27.678186345459263,27.100529174744008,32.024441099929625,32.4646108882843,36.20725568536322,38.3576532990719,36.98977242911977,39.185885240458425,43.53401731353506,45.40587342020039,47.96298350731644,47.822873880932974,45.188001985203336,46.0821681301886,42.42701024228886,46.94109675802416,47.487982777689446,41.60393096949683,43.025411529617834,47.723351568604464,44.85003220235503,41.755307234405755,44.36285460797583,46.48576331342397,42.823905915007636,40.06061696796934,37.21358179182187,36.39830719002968,39.03943924901584,38.00589692999939,37.97862829736965,39.7274954589472,35.68276944950332,34.01865120658324,36.12997356874399,34.29809465723912,29.961882030363114,31.33236671450744,32.10682782611221,29.332246940824874,28.751093742391475,33.67840091503292,32.83966936507604,28.956987531524874,32.73710487441381,36.426731380249315,36.54529624400553,38.4029073170233,36.789463308404656,41.113836229032565,41.05706705478556,36.108494412712126,39.13900753513722,42.05062745184233,39.70037955773118,37.94202613354429,43.84215616246689,44.27909631203648,39.476360663781264,40.90932772313399,46.143203614157855,45.33523945727802,41.888194223376004,37.7322923693148,42.573833250472525,39.136937958248225,39.26263774502357,34.16370000430914,32.18451195691919,27.600433755526975,29.485179953400333,30.512534550782718,34.051535329312635,33.20592336290681,32.8818073658263,27.602706090465272,28.356660905524258,23.471005330511893,23.008395015444442,23.251725260272803,24.94089362110453,21.344490717531393,19.600996355431324,22.364074131908474,21.19232031902969,16.10764461366676,18.320360480221886,22.108653985959155,22.301445900798818,24.329955229683456,26.12056084457242,27.328602296146364],[25.59059711503619,25.68582736608746,26.378194916592857,23.643504139269858,24.655629838696424,18.88911115466029,17.1500774118915,16.30070023811658,11.599660371419695,11.778867546970014,9.424516393998413,10.929729942718996,14.428432281492782,11.781444948561411,13.198444157597969,16.133303271092622,17.882012392448406,20.855446155687176,24.461618910254305,27.24946190624092,30.71317537137631,34.83290714186423,35.88549161033035,36.86247223739997,33.70992643513203,29.642346562188774,28.420054590996806,24.237729590042882,22.625513944902014,21.102287721581142,20.02327774956826,20.70871878670042,21.99590246188076,25.746293260210564,25.619713942421857,25.23810554478894,25.630653248710978,28.303770763859408,30.061290155267407,36.15633062377585,34.6595724531717,32.81461321187016,37.06419473841324,38.30667850673381,40.735195993510615,41.536684135484855,45.194138546260525,43.27840109657147,40.388700154332966,44.94106001343246,45.639953419078374,44.857599518418446,45.13817315256718,40.22595661589458,43.93863568624237,46.29702769556246,42.47594931053257,39.74289292386789,43.91780775277873,45.44845217229047,40.08163214326393,39.218493022307115,35.993175421070674,38.10853051182076,37.450191824806616,33.55675052973204,29.987469286707935,26.03541324408447,23.68353424627781,19.74178686182331,19.72252671204133,20.899369005280388,21.81217007987709,26.459241270618865,25.01833879433205,30.82583199464771,31.228723716948608,32.730237000900544,33.2559535903173,36.112568771214384,34.70251726490747,36.2569448274644,34.16804801151236,36.93305400445558,34.50453362429442,31.242607120202656,31.814215973750784,30.623344185902468,29.460323240124218,29.887727034837482,26.90005040806,28.034259538644445,24.076315324458907,21.68046924101358,17.640077897507695,15.961459309321976,12.402477453921387,16.486705731112714,15.31164311100544,17.662480639233728,20.900975737661167,23.284952299299476,25.34433313595121,26.797006367204382,32.11651959536233,29.536114273969275,33.52586656587364,34.72112005721687,32.00291780641334,29.29701726589454,25.889967311328043,24.35104330274512,19.777172053110206,21.188504254133587,17.945977672004624,20.3800787865949,20.980301627089776,23.921935629526196,24.560461865819526,20.424867661874977,18.905611045763745,16.44019206690605,19.026607068688733,18.101674682149383,17.08363628916828,22.087782612549745,22.937796519809652,25.81468426432096,29.03600983103695,31.563655628984115,34.444221356435456,37.912725398263255,38.2656892232375,36.51446852068191,34.38425240153018,30.022612470420608,31.567181470863535,28.593981988253223,26.858796189976644,27.10799858878556,29.05813938667661,32.05758951846301,28.741163963962766,27.026411326306114,28.613304808181447,24.890038271694934,23.4979077184433,21.21411915641374,21.850871376297093,18.20025340581179,20.452050256479325,16.47980212926013,20.119881244974653,17.5090573024816,16.368140518451213,18.558968803221397,17.437173647627706,21.17348655120704,20.793011921336955,24.86976776822982,26.462882789854994,26.579311044114892,28.476694660624016,31.38359667573525,34.30601432546902,34.666882947576475,37.533520997488765,40.43535071603522,38.9550986954994,35.05077219050084,34.59860903054361,31.27902502404654,32.408590516327386,31.96325074807926,30.632982042547084,30.207030289473032,26.449646943325725,31.15079245797254,32.723222222008886,34.52946024266421,35.87413637854213,32.635423819276305,38.20655982591949,41.242334519054495,38.6695704179005,39.642102438083505,37.0689148039117,42.07576046628781,42.541488884742,44.06530575125518,45.49561368286926,42.15465678308272,43.02131233019109,41.321406919228195,42.30317486815656,43.568435225667926,39.432822643505816,40.642107265775046,39.15045418885584,36.12689412877502,39.265404878698085,35.9550237592371,32.961467070179616,36.25644306563199,37.51337256552752,32.78200841786657,33.00157173112137,36.58867305913734,35.6310901355254,31.260709576101444,33.96089278818838,35.880424201682644,31.678593597748314,31.0457211946421,35.896151319877845,36.62162678447352,40.24036024807895,42.733831467786594,41.52550218982024,43.59163525992651,48.11255038926316,49.769468871876335,52.63067729292963,52.49423667629477,49.99773239023785,50.93717800191172,47.338735003580716,51.9304985980343,52.47132652448239,46.66005463685635,48.12551214472536,52.85902987351464,49.98744508367019,46.93843663839614,49.577637511808604,51.67516998754725,47.97640677310992,45.28078423695446,42.401290568492094,41.587795828456436,44.176416577607114,43.02452691915196,42.87206977396765,44.40211031852807,40.35244974419154,38.91013379884533,40.76791124408791,38.722365503542115,34.59570818543566,35.98833437799683,36.387091821274005,33.474749301313494,33.10183411498334,37.888748063619225,36.70419373737273,32.76513011980729,36.74300492975029,40.39356788042276,40.79771643696479,42.80508746942285,41.4141724506277,45.79853073341006,45.592419156326486,40.7872740232944,44.00419418766111,46.84055022024835,44.43310653042957,42.8959057344616,48.80778631708183,49.10009510279174,44.330764070458535,45.9479206418645,51.124056681749295,50.16315237043178,46.70657452286914,42.448032412337234,47.18428803179782,43.563986649236305,43.59665903664933,38.482279374009806,36.73191039089208,32.03090149839204,33.77098177725887,35.080943369490754,38.664908612222504,38.045972806867454,37.856567712979825,32.67067948092754,33.552831863092045,28.665466902115657,28.074692627460824,28.27148864605033,29.721823634255315,26.015438918616574,24.554715984356058,26.973056711425684,25.441219385319638,20.695220437715015,22.70086733595203,26.151001047620994,25.793358381835137,27.66956097800081,29.403810957757514,30.512304612522094],[24.639920805564188,25.001201522000727,26.26766540621405,23.208162328474305,25.01068586815329,19.351399653388846,18.161002294805975,18.009002506317835,13.305918999425566,13.778969499498663,12.083156570489718,14.032630056901718,17.155570675191548,14.049018686675435,16.12320130375581,19.15238404285282,20.366969912603576,23.385298297067504,26.551525555383215,29.64884850439858,32.93839053874117,37.1991819866374,38.002250738630956,38.72357418305839,35.6891858204175,31.52411734580196,30.52501081449083,26.390066379677773,25.210787284330035,24.019223808188443,23.08821554403154,23.993750716854137,25.401792361597813,29.053800341373098,28.85750665933662,28.230243059128835,28.714653381024547,31.015943220767255,32.56280464976754,38.749577195774734,36.89237490374926,35.19487075940118,39.54232168274694,40.528994054106185,42.7823356772335,43.33948293559462,47.09416187705515,45.41992910627021,42.33181583442756,46.868480493013855,47.87486699076311,47.192917536737184,47.6552051087725,42.76909917856756,46.697122174595535,48.987238795617706,45.041599563936636,42.54539266877049,46.782060420790486,48.081269532801244,42.68838269058458,41.975020407509184,38.858864159733194,40.70444820653309,39.96178715873885,36.207887816709416,32.35009663406066,28.598012577126074,25.797414802186026,22.063911490834908,21.601871489996846,22.53152265501058,24.013728853906297,28.667273251284378,27.686236060402326,33.5924245219141,34.0916642423363,35.79482682634612,36.328359222755495,39.1028884272845,37.82128468312302,39.22001487818606,37.22422095637868,39.78497810097292,37.18386994106745,34.10828381782908,34.678514153067596,33.77290024793695,32.43339078268024,33.104060016701354,29.969460384607,31.003965524344338,27.113033286325845,24.904058387363,20.883370190887334,19.152845322503833,15.616072897027061,19.922487372665437,18.70139554361874,20.907688938717833,24.227758058961896,26.320887147348657,28.448187688819527,29.564057707393566,34.73512889970317,31.84677534655012,35.72050146852711,36.6295318975637,33.631800001393614,31.22816569380383,27.497468278828084,26.216735629327488,21.538808246725697,22.83525137605445,19.784210136802635,21.823751317664605,22.716810193726793,25.232231647264047,26.11730989523695,22.35673139544533,20.387515435490542,17.93589276608357,19.885952364895466,19.078834309207586,18.078193878103967,23.184612681244673,23.98256713197793,27.183214581961494,30.47506533427277,33.4160904977235,35.85431023476899,39.55388634457841,39.94173705779082,38.543312994578976,36.055115174528595,31.613694394189594,32.607643284064814,29.702274618344536,27.788742969354363,28.444730637152972,30.074606210901702,33.35831719465306,30.348891980767473,28.70778636319393,30.629868072580237,27.1904224130723,25.56124328240373,23.560462642835816,24.191039471073374,20.479848309522602,22.702870845902506,18.867401335308852,22.60393157650165,19.71646425464211,19.190058746240837,21.523555408397257,20.40956171585706,23.91406126566487,23.6793063206547,27.36471430410792,28.691850322855053,29.085223257588186,30.45561359794517,33.68024569324783,36.285821536240455,36.14663566323372,39.08704681720349,41.72200291726257,40.07495903738803,36.14695806882013,35.9407168947445,32.78584359872509,34.37344690702858,34.238334540126765,33.18915871659767,32.956902425363594,29.35536271557844,34.20467692102219,35.5610231136045,37.31684744187137,38.36463842627228,34.99013348030569,40.461470818463006,43.4150524640076,40.74932838253077,41.909641774855125,39.371721701687335,44.385927114053835,44.478206205575425,46.02443361593747,47.28530090273371,44.026812944646444,44.690223524316025,42.909421100770075,43.8588934113025,44.97936566931308,40.67206158498075,41.91238380329132,40.15664372276663,37.373203925036194,40.328247424009255,37.1751887413391,34.05713660413858,36.95491721267785,38.27953392836045,33.491262016420926,33.25466660685012,36.860572938831346,36.093387812846366,31.349716424751367,33.7910868014856,35.7384368977414,31.53272820107725,30.512772942463812,35.25598254634432,36.08861707664527,39.84275999563079,42.303609964674386,41.42159514906443,43.522218989526856,48.224053029530275,49.87930942679698,52.98271221684714,53.082335177413135,50.75511648649166,51.95305061790785,48.557523667290916,53.18354951554378,53.440899626646136,47.60234250913467,49.35881000576263,53.94576539274392,50.85211698867693,47.964649977493515,50.7790643823071,52.52568490521011,48.66703295846564,46.32088245947275,43.30782506171474,42.99111231011298,45.60118828791994,44.33408566230985,44.472172689308564,45.96844818021348,42.12553996230743,40.417872201155454,42.059105793499405,40.243018273323514,36.08490274895111,37.06364715890067,37.435932980188525,34.4878317219433,33.805273548519516,38.5494198532851,37.306435818511275,33.10031128834774,36.942992453598144,40.67400852554576,41.103195937377365,43.404071815729715,42.26867465035331,46.64330572304018,46.067166606901104,41.243365438764904,44.744017678028975,47.311782215206,44.71254257104766,43.397672550967435,49.353274175893546,49.28516436784424,44.47263813773607,46.393646640702116,51.45781094652002,50.17604458427061,46.67260821267107,42.26462283619098,46.812966657707896,42.971450934954774,42.9748424818693,37.840960144698215,36.442834154506855,31.662802172183937,33.11052140282549,34.72264188338603,38.32981055817223,38.04861604283239,38.13420084896938,33.161331031680945,34.477993204273716,29.58667066457376,28.802052011036963,29.54459704286858,30.899063724049828,27.514290033179265,25.629175389672536,27.60803950854409,26.273409626108673,21.722111800244402,22.88292385947958,26.27065052039109,25.940612587042505,27.71950780617076,29.34577100324265,30.301411417724786],[20.309916016745657,20.9224026059908,22.452625512279482,20.0466293139758,22.242942736282966,16.040429726878283,15.645516948155267,15.341490071498143,11.218695256859366,13.353194400995116,12.444045298125607,13.618559630055277,17.3418451093242,15.232274358899021,17.807799466972988,20.320560241338693,21.63520807013265,25.311386568718863,28.93545327702793,31.552783697970916,35.19254783373538,39.24453681295361,40.22035322773327,40.886026184525264,37.53171263973531,33.535883222509646,31.985549932457904,27.690664742225003,26.472868012122916,24.77369641354978,24.931453322988983,24.710722894937796,26.41709869332286,30.554832897497114,30.00584778859592,29.624867349529485,29.30726982682379,32.02139588184423,33.35855174859076,39.313212432457554,37.81137567547316,36.67989354596866,40.99174466667094,41.91610904748745,44.481364611358366,44.945766316772875,48.69284171393624,46.78011336703621,43.435567271562675,47.72159864579128,48.748447813259446,47.751651543967476,48.49363530919417,43.527570234149586,47.407050284491305,50.14393789831524,46.40778740593998,43.78334513699559,48.15449687568011,49.73240347925535,44.541885703696245,44.06985172164344,40.978846274373964,43.26149261397795,42.287576021587626,38.25478401341678,34.971403527176605,31.041802192559814,28.725901807658325,25.010537235215306,24.86605561097854,26.3171084916643,27.43507508338657,31.9388572395899,30.44218133097206,36.37099189101753,36.349249814692456,37.896376623566894,38.04002668595308,40.59903700386376,38.76383980352564,39.8206201428949,37.27611742472531,39.67095076576395,37.30106788248524,34.42853329743323,35.64365668450246,34.49967197193107,33.95307587480886,34.68135900619254,32.02738715214285,33.55158846080439,29.56536819079681,26.93206252069781,22.709821574418378,21.371216612152022,17.666611175244448,20.799744335593065,18.73757728181717,19.88696431808065,23.840543313809544,24.817840116611414,27.679324864074932,27.896177929884104,33.15278827357743,29.83750809483855,33.321116196386996,34.17374339172171,30.847536516184523,28.554764269384755,24.743025639184662,24.294284019833885,19.721859393062285,21.79233618114988,19.726913959655313,22.12531236730949,23.76401851015774,26.45353086753471,28.26327614049067,24.35893692677995,22.42155036531024,19.416439954284918,20.802004143617804,19.16683174951044,17.17480324330527,22.000759578994995,21.59906373648407,25.209112472899434,28.17058875321626,31.386648225122517,33.613962532288255,37.25234900415191,38.13310717286279,36.779663845812756,34.52378281012402,30.212649386158827,30.85532039510761,28.636624019919847,27.27615929841691,28.303813733581272,30.656411644113003,34.29022076345287,31.454161341601083,29.327539051265862,31.279677609159734,27.765790705772623,25.815471790416733,23.34025927576774,23.208575253389252,19.079217208575706,20.44612896764641,16.45308402934298,19.882083566902025,16.57904568155732,17.114636412721076,19.754610465135237,19.155770126692957,22.179816706164047,22.87924687200244,25.923386121568218,27.841814940594187,29.019278625280407,30.4445895391592,33.744179339993515,35.99584679226698,35.91822766285347,38.37486745788578,41.099067641337825,39.030955277150966,35.314322672402405,34.87944146651401,32.02531488793762,33.64271713055914,33.56289878864076,32.65061934123431,32.105841469291676,28.962307333573584,33.62367584467746,35.199466776583385,36.54208324399962,37.736139598449334,33.70607589847098,39.206789397672765,42.29020889569484,39.83915968642413,41.63067327270732,39.55057331119737,44.59724380859246,44.88854165670184,45.9198638963132,46.92411017448142,43.45003466630473,43.684651244176145,41.573882912384924,42.19193156685913,42.940394528862086,38.463792376817224,39.3155965625188,37.22892053398752,34.33922536150822,36.88339981201623,33.600617942901415,30.65823453580817,33.39398119774902,34.38728783218422,29.55149110814021,29.589431868809598,32.88104608196138,31.786345698216856,27.155244771108183,29.63328135421152,31.32957520590313,27.018079672061702,26.241629528548973,30.957563466945413,32.01260044628812,35.437607422054214,38.37607760232813,37.36244850841713,39.23645898539721,44.01132469166389,45.44329614268925,48.752705319814105,48.81677622078888,46.652110646254584,47.94719007047998,44.71926986467178,49.46001209692675,49.599543405405356,43.92214699427486,45.85694862599199,50.46918465891355,47.39914215390494,44.690219483922576,47.73708211209198,49.40352102215087,45.50091616757628,43.56113684076146,40.14994243160055,39.964726737504314,42.359328110032536,40.73065674726523,40.91642978784921,42.14778557115952,38.52614993124583,36.79849551179177,38.02496892903554,36.25328351791219,32.231089150579685,32.96251761807226,33.09446597290432,30.094539506335476,29.404010146249167,34.03633878666772,32.66321494318403,28.414488077451903,32.31009565015833,36.00646980157604,36.5748036966697,38.96228127357845,38.03543429071304,42.43851964532032,41.709003710382625,37.056852536876214,40.73999966674461,43.22999659123734,40.64246250196256,39.63125604067559,45.549248841315986,45.42632855708627,40.807234923913164,42.943969428776,47.886980716123446,46.606658829237205,43.24499390182765,38.88304460016222,43.524470388200136,39.807040863780564,39.37974053069152,34.401734751285474,32.78121626694805,27.96570441990148,29.849472105142244,31.569428387680873,35.314350409712205,35.107739497268525,34.85746001084319,30.12018312320195,31.509146305193998,26.872178578101654,25.40836857551597,26.049067923646973,27.017115656932745,23.802016228907135,22.009328143302838,23.46686246958353,21.93140929173076,17.775863863640314,18.70526623559941,21.756532982385433,21.204106151857683,22.953750427677768,24.641103252137082,25.731435637911655],[22.439420968709165,23.7189795203799,25.77196263864895,23.936562893918882,26.44506938298477,19.961795253978103,19.900406926394012,18.99856071112926,15.231922732006408,17.58879888652177,16.10250342409329,16.43439851147623,20.96752968150544,19.14165201017011,20.84323222797164,23.394221286488108,25.371109508263142,28.730710960906364,32.52291039612721,35.12735487789299,38.74420161998979,42.77715555959698,43.89342014923458,44.792410049001006,41.50714411339362,37.495192366579595,36.010645710483786,31.721990888742734,30.111152515080754,28.099679148577597,27.512722332522024,27.246143506894057,28.270235896274112,32.48067717837831,32.49728353774091,32.60731501998809,32.341441119200255,35.57604479128194,37.206737815868756,43.09512463470768,41.8899521291858,40.46143041814594,44.68213355020885,45.87893660234632,48.47467378038307,49.1364434573272,52.82739493799558,50.82108853546908,47.685646422688315,52.04076980373666,52.83581610821671,51.79519627087039,52.308736812984826,47.33361433378219,50.93889522760888,53.66154156922556,50.022427842312915,47.1178962863119,51.32557287972243,53.13414951253799,47.881505698746125,47.00742702299483,43.68274638163937,46.07225934521742,45.44639385767759,41.418787014181135,38.095946502841464,34.051701719308056,31.866734914917714,27.887512108267465,27.894754892500405,28.90296015504579,29.840833683620122,34.55350335178992,32.926297867648664,38.49574564879833,38.94477121319212,40.068448004469595,40.59578437058947,43.485719355299516,41.61130115694041,43.06026656699627,40.35492288756342,43.101990847029846,40.998746517457704,37.86327161805013,38.98456462321727,37.34493080246751,36.88984792504887,36.908154299412146,34.29876831449843,35.35581351040327,31.295667922002576,28.518743243559143,24.73715233576786,22.794148557919847,19.69075164135893,22.62818807815641,20.774448833553514,21.167254493088553,25.980017774230927,27.070622783623193,30.413479074201177,30.813963842329898,36.43453778180956,33.29008018105054,36.615664853642876,37.76608567928704,34.444146435594234,31.945469251774213,28.40370195509834,28.278506319201014,23.842730173973482,26.22360474150073,24.12953662600722,26.711034064605247,28.106926440272865,30.94670099397345,32.3258436943536,28.26259571262606,26.539978683697324,23.71748572962818,25.44866246170255,23.898014684597957,21.884945362407098,26.641765605225395,25.854697135650927,29.497754911020156,32.2467241446506,35.31631668645311,37.72551478212517,41.17497082192202,42.292276191592265,40.689477624731914,38.80165050357528,34.58352376537792,35.341779060145484,33.289647182613884,32.04059758803308,32.96947313853033,35.370680507624186,38.87834756026408,35.87760937806986,33.800574296298706,35.55914060089563,31.83212647925667,30.088893127152723,27.377350188019008,27.11699233041255,22.894643780196347,23.769585283319902,19.287315891362447,21.86740187776566,17.484845595775585,18.283237837539517,21.658324128557556,21.835036503309347,25.06196805090237,26.08412563726508,29.46778661460214,31.899435541713864,32.915781097962046,34.793228470466346,37.85247987002105,40.34017711050044,40.537308755725824,42.917186631911555,45.760154768950976,43.67628456943837,40.00560776158102,39.45005807504758,36.58048712627598,37.9398572881051,37.617340689560876,36.433371093965114,35.53752497068318,32.26951659220521,36.57299678218225,38.62489982208129,39.93950928152345,41.5792998001003,37.50184077681624,43.1196223217334,46.325547227813516,44.0142740334405,45.752639561294544,43.6569270310572,48.69647944903061,49.264434573041214,50.29376394361444,51.38635884556007,47.83669353165549,48.11269723993854,45.95752145586096,46.47692507290416,47.13398222449121,42.66226047657452,43.266497861510636,41.067993624136946,37.985112456257845,40.21808992429135,36.6888255597283,34.05930256090242,36.78553530452504,37.32853525186679,32.490166530132186,32.98533508182177,35.85355735542775,34.175419211543705,29.881706090371935,32.35171103644802,33.57160128717332,29.084312110111327,28.679827281960907,33.18797473854478,34.67815989527601,37.540106697753366,41.23458758404393,40.15544408703008,41.64812230463535,46.5325451303292,47.5100572678302,51.20071205990209,51.124348959086234,49.191170526670874,50.482500679103666,47.37756232184529,52.25538323592659,52.42781269709919,47.009246176989826,48.97978098465912,53.70165774821335,50.77239418173872,48.188024529505775,51.351418130967375,53.08873753632499,49.20617788385536,47.486301875484706,43.82396118837414,43.49329828253176,45.64766619110112,43.6757340628719,43.61520581258597,44.39759731539705,40.87068748575036,39.51966953052452,40.23390042229766,38.155363077462845,34.540389526016064,35.31250688766008,34.83162169462642,31.702463896671787,31.433579438570323,35.73820224038359,33.893964172284356,29.79022961758389,33.9463469824336,37.445833961640126,38.455276785791455,40.90547083940707,40.291678912703325,44.743977580270574,43.907139319872584,39.63178810911554,43.484242100372576,45.935530517653476,43.41564887087257,42.79334378525671,48.61955200055836,48.46445063620305,44.10259667226517,46.442519018541034,51.24338533815964,49.953450432539675,46.74450854295628,42.422591928105774,47.05247739837032,43.37098260936753,42.52847457434142,37.74708130120586,36.06994371774252,31.249783725886747,33.396137457527686,35.31350603687227,39.13532992241492,39.06269962085401,38.57718071543731,34.050139184845236,35.37735112558532,30.95032723011288,29.032835882209852,29.236202406752362,29.713649404400886,26.387999980390575,25.232612158946367,26.18616639572354,24.03789727656579,20.578560075331563,21.62496295828331,23.93086500314813,22.543579715733504,24.05435959888778,25.68911158343644,26.77978529901926],[21.811717031280228,23.663887700689646,26.028858444931917,25.318359382150575,27.983452270290503,21.225012968586963,21.83738824057153,20.331664381554123,17.57816189212989,20.851867619102112,19.547987858669284,18.847555157729882,23.970034293171704,23.055210546367626,24.462701810219222,26.582817532592962,29.00411091616667,32.53778535630832,36.747217882136,38.92876359372918,42.772505061099054,46.58208286290505,47.94792204136855,48.99373181471203,45.51744613164285,41.66709611890697,39.80904679194498,35.46438925965948,33.55434353621905,31.002661206206135,30.74390792186672,29.615579909616727,30.39081937133564,34.90586923059767,35.01053739271853,35.637255866831985,34.80432825764557,38.66137922927871,40.333344249174786,45.9076427576899,45.24191929836581,44.02808942257532,48.10511841580429,49.46761263076364,52.331241783220506,53.09783030207559,56.706143353489225,54.41996602800171,51.29224218146503,55.476714609898956,56.06212180827228,54.737702598693886,55.2732374475656,50.27087746277337,53.58190954333677,56.63129446473814,53.27027990028977,50.0686338725795,54.22309410314334,56.425409070255576,51.33442301731609,50.374520859285695,46.937990286238254,49.75329113232257,49.183241974799536,44.96120318331443,42.11952173068585,37.895002910435274,36.21755297566483,32.128858522107805,32.48785296751203,33.64387691770117,34.148430208419484,38.815231373215056,36.69617407476287,41.982997346871464,42.295794465063445,42.9971946556778,43.450479651754165,46.356404042768425,44.033678017488135,45.478169136425024,42.26852928052265,45.11445341360335,43.43191297119816,40.29635257251869,41.82405632491864,39.667897409653655,39.907190485267364,39.49381562578486,37.349109552684176,38.497586782423184,34.39360854178761,31.264406334732985,27.71288784896863,25.803032709858343,23.050234344588425,24.873539996612127,22.638786189514704,21.66960040645792,27.298157643222723,27.562991802807602,31.691720015033578,31.552677448148632,37.368517768714106,34.155558218577596,36.98916968061218,38.3548555361292,34.924987640866526,32.361982923341806,29.15785342628758,29.847786699471364,25.793487668509307,28.842414014304588,27.42632984717662,30.342857045801406,31.99730046452147,35.0721320593991,36.75215982573667,32.48776096031316,30.997842672365934,27.978782916587576,29.63705476926465,27.640701636884415,25.067176635611876,29.399735362887096,27.55585140456922,31.308196853675064,33.55965348461235,36.55590557333637,38.98445616633259,42.12347987966863,43.76557841687584,41.9653664520294,40.63300257614798,36.6813915713766,37.37632975889651,35.95976662849563,35.23544276683383,36.24859783484202,39.2101791755488,42.78200015682724,39.766360577881066,37.397977461780684,38.965991135026734,35.06783755672569,33.30948314467549,30.147672080618175,29.27508572767183,24.89195866893788,24.74364042466393,20.064553925907532,21.514927383703508,16.264264886678262,18.09091446410356,21.989934824575613,23.124624300602722,25.968912536540905,27.85902551523725,30.92484716401692,34.122256306009405,35.5274721992084,37.79586362710814,40.63845756537403,43.04671112607809,43.57777035698817,45.50420759471315,48.52304751854003,46.18283002156091,42.754203610486165,41.89913921077863,39.24857218009274,40.332445136273584,39.828951552239666,38.53334139330136,37.14500654736757,34.19996834179249,37.98085931577326,40.522343266646196,41.48121739772703,43.56954876552549,39.06085984785918,44.700340139360705,48.06370830176059,46.066644142599635,48.18478852882095,46.44265780014348,51.44427362066306,52.41982970379338,53.04673025135622,54.033342099377165,50.28471236294909,50.30884495964394,47.91767182949548,48.114936953137665,48.44838471808879,43.96019780095763,44.06224223352272,41.63202988649193,38.316496138399856,39.98452674639812,36.18839388209005,34.04876720086832,36.68295552136571,36.567515603275666,31.82928698079729,33.039936257302536,35.237937705290804,32.78862593366637,29.12279607140288,31.631317633524773,32.20508773165863,27.61295196278302,27.89354224326694,32.10845660558388,34.05447039673781,36.06771490616888,40.70550532675266,39.36893919958324,40.32820008268365,45.223117678123096,45.633339706273254,49.67859854109009,49.382419344632424,47.73889658256773,49.012726598591826,46.124914218615686,51.136154719062375,51.31822753230196,46.311500253316865,48.34417678258662,53.157369442526836,50.45468262964855,48.09623066795105,51.445208024988304,53.25349628083395,49.4453992581083,48.13431634128654,44.06127904779373,43.59245782973952,45.347519243067474,42.87560536939034,42.5827601025189,42.77933616138229,39.522234185827514,38.55121456171539,38.54673397642122,36.22945127747759,33.15770949864814,33.84881935341091,32.66378693744352,29.464339449666724,29.657007514678572,33.49242837633858,31.18260653048553,27.36192953143352,31.737870741427397,34.938444528311074,36.41560207130833,38.85030050725932,38.60202057542845,43.050297912525195,42.128188484219024,38.38176236274331,42.36434669040523,44.769049788391,42.414795774581904,42.28632661495921,47.90810855264881,47.80433295826509,43.87667425679547,46.412451749071515,50.979619556161595,49.80491728022022,46.88479400121895,42.74715320191778,47.434006698414905,44.009389431672076,42.53954214490341,38.131704260394464,36.14679584655966,31.45497170758958,34.18264226447526,36.17470648970178,40.0690068620056,40.04265494037134,39.04297867807704,34.89765433983781,36.0762207780092,32.124240882154425,29.4641454261441,29.086701513489526,28.856422798404765,25.6342575963539,25.236213699098567,25.42997945391702,22.624270542384842,20.26204543909719,21.397875801102128,22.67007294743478,20.39563877343228,21.648387754461265,23.27780537030115,24.532247636052233],[21.560584056814214,23.792077590870313,26.884858185880955,25.71567242099247,29.233579104123347,22.825825072679418,23.846430566429426,23.172168160055218,20.16922666337093,23.243411418978347,22.22519207610675,22.292715920368497,26.944997764967187,25.34660290039606,27.283322536861906,29.698834669795453,31.62183368893308,35.161534858361584,38.94424527120942,41.522691170659435,45.18112523231029,49.20031165147052,50.287346516936665,51.07528166325204,47.743998988429446,43.747917150220346,42.17599878444952,37.860552019307626,36.36455426060203,34.22800096220691,33.93077477306387,33.29814398233065,34.257437077398826,38.62226577197346,38.657402557340944,38.919562789723415,38.35573470287969,41.73864478608768,43.23586222302021,49.01154006510133,47.87199144043052,46.71814323301402,50.943941300878556,52.041532210477705,54.68505640226772,55.201754321651016,58.92956927576452,56.93487832404304,53.61050392177551,57.82997327612398,58.76448985709265,57.60155015876622,58.30640191966382,53.31574756831582,56.91756910408952,59.827939938133866,56.26238793617935,53.33870946025627,57.58158545108407,59.478426685694224,54.289721848809606,53.46989372133572,50.131461066959766,52.603070061802356,51.95253271738533,47.882389779410744,44.62526428913319,40.57960013334545,38.374476411577234,34.426480879985576,34.35680633586356,35.273192781496675,36.33810848349919,41.07358561893576,39.456455321584215,44.954008315169396,45.41564805594626,46.41560429908746,46.9193267299806,49.78193522460097,47.6952930613822,49.0206306830613,46.02699151357203,48.67402075517888,46.70928567999154,43.7203047494625,45.12884775567627,43.35796492332777,43.220501325581715,43.130243233461705,40.681742065704114,41.70872390687309,37.63018005286096,34.739899829453684,31.071025620867804,29.066253015480946,26.120029108741857,28.651231451082204,26.54789272843803,26.07136943249732,31.41549029557786,31.74665071234109,35.654951258552856,35.393294552001805,40.9940347366879,37.51051294246129,40.333237691763564,41.336311627057945,37.656317764143516,35.45854882646468,31.87745806678484,32.61510851188885,28.400687684081824,31.141227575872758,29.68835598425119,32.196754514028854,34.00779104612392,36.680830012647434,38.47814858386829,34.539527894067305,32.64437328681526,29.691800579249403,30.891956408101045,29.11093263425107,26.713746135979505,31.171219327155423,29.519762711123285,33.522098052681876,35.92869099670737,39.34467918628859,41.2882747257221,44.717475103451605,46.285475119959756,44.90315319863428,43.086211246464245,39.01406259585679,39.15620630442761,37.70173612274019,36.70940810838523,38.078283365444975,40.61477259117027,44.42574195758389,41.68785989262692,39.455385308544294,41.36698329938668,37.73817990200498,35.78344777903086,32.978788494096676,32.297819486803874,27.92970563249701,28.093221768987004,23.688878809175677,25.582045023918866,20.57694227090694,22.51340393649828,26.232109298363724,26.9843182338626,29.76228761444341,31.459662694505326,34.298421161935224,37.02869587444329,38.56370318153411,40.27013410314546,43.462045248634205,45.60242469560067,45.576978133610645,47.66731295961446,50.37199717709824,47.911191747676206,44.430102347575755,43.88608627110551,41.363630648997706,42.94975392188936,42.78477481368922,41.77581135090394,40.702981968545764,37.785038730886406,41.87446322942517,44.083919529160994,45.10080204371106,46.79104124844118,42.262067967067026,47.792490632433804,51.03427784556051,48.87385967729428,51.089240437561436,49.288946069677685,54.320275637401735,54.84058671298635,55.578956434679455,56.416508083797524,52.79428653710908,52.660803500525525,50.23519820039124,50.458089355800354,50.68957761808704,46.036535297627594,46.257551680795494,43.57693403725776,40.610881738028176,42.13346875304078,38.61639824616416,36.276434386724176,38.404308806598216,38.46152619244806,33.714740900439956,34.23421395624945,36.486796644895,34.41437823795113,30.248133075700352,32.339932738234786,32.98008928548973,28.481589911631474,28.147622688922894,32.126108442049855,34.19426745364595,36.40748580536444,40.9055179765442,40.059179863353506,41.08957624426961,46.18843093887794,46.63341716291348,50.95656740468514,51.007981614624484,49.57630064819861,51.18262064176405,48.554261513239034,53.5490723371079,53.36529468130529,48.31346704877993,50.68607640875176,55.269800326757434,52.27770014862016,50.108165464561836,53.62319405994518,54.97962049788789,50.98841275356479,50.058015060204944,45.912447574453196,46.06164790429852,47.89440480995114,45.3834323236554,45.48655766201262,45.73551809052054,42.725512349407616,41.376529164376095,41.21809173102096,39.266921256895635,36.11372757223833,36.28250900292026,35.187191796799354,32.02288155671582,31.725173634908483,35.474169183436814,33.17834950899973,29.02922189633786,33.08335853186773,36.367529994097865,37.82017501932124,40.63665963020031,40.70045361075317,45.0795608491814,43.67222835513226,39.896426976483546,44.19504671581866,46.221084024465206,43.61574920617819,43.73697087351719,49.384906321443395,48.79656477145973,44.810538540348105,47.70005510856662,52.10880233006069,50.508231480386065,47.52747641826545,43.21879144204168,47.60622266926754,43.90226579671198,42.428425506365365,38.03158792162415,36.57188410335029,31.842643203607313,34.10296423019731,36.46412418799098,40.33177158691039,40.73436027793469,40.14074411470606,36.26852481888097,37.963639593474134,33.98240445079342,31.264116604669653,31.631103860363105,31.42180042642086,28.64409235571412,27.609595428318034,27.384141298344097,25.027399495448226,22.810907294814207,22.833743245351474,24.062928792647497,21.988397421734636,23.060450097594185,24.47212027883604,25.36631545779949],[23.28851560509681,25.926487195210967,29.22942529405841,28.744725533024052,32.326577044366275,25.855492412269022,27.159698063540418,26.114095727818732,23.58535728954557,26.96816892599767,25.873312180342868,25.403663700166643,30.40521487074631,29.21411819016928,30.826773891317792,33.07499702463038,35.33464230878096,38.856876385049716,42.85847189747932,45.253610042864075,49.00258322306042,52.91887821580788,54.15687106562769,55.0784604998207,51.68080255918909,47.748023250041136,46.0346900806311,41.6971161805788,39.96956412887467,37.53686486288827,37.17399007848258,36.187117547355804,36.84715682550464,41.31821991800937,41.55339142608358,42.16748819698303,41.385815916283974,45.16287851746572,46.75875938368083,52.372655109841574,51.55386627868305,50.406290660039375,54.539993301384136,55.78915978771627,58.56096904912303,59.18192962393586,62.856643526553604,60.709969927303646,57.449682788394654,61.61678344588825,62.3890856881294,61.08608479902003,61.73168056752054,56.73020678425951,60.1127389977052,63.16286467340972,59.75425204038447,56.617901332089694,60.7816575681619,62.92405612940992,57.79348151486133,56.81344257114766,53.36220250469368,56.04851069889228,55.528561839561135,51.38012306781812,48.32295275939567,44.171179717323476,42.22077255493935,38.160250833637754,38.28009702380281,39.14657782720973,39.971227108060546,44.732410660951885,42.87195786547123,48.12700135455076,48.66723445475953,49.354459683556755,49.940201028672945,52.900879513745075,50.61268397479423,52.04943282254586,48.7978625108262,51.580034256376194,49.88415687852543,46.82897449743116,48.379660919964245,46.250116394043054,46.435812404855426,45.95322931125729,43.7288237371026,44.652747750958554,40.560145960282206,37.5067050773265,34.08660226298178,31.959752756480437,29.335645313647877,31.356793318743545,29.196878926282633,28.00198594467809,33.79499409917361,33.81059707549288,38.129170478166216,37.693492088435384,43.42512355287652,39.99238373554534,42.518803113712764,43.69420621668047,40.00236055960665,37.74770396143961,34.43855052492735,35.59207268329059,31.60642435185192,34.66549606519822,33.45886776730645,36.15206252245315,37.99235907128892,40.814142037687226,42.61415272180889,38.53837689537805,36.798875816444216,33.80849810098633,35.095154073379916,33.16071374679131,30.556741280021306,34.82088871110655,32.67047490533161,36.679916318379604,38.79701988225345,42.10903646168517,44.09816364875622,47.307198316970556,49.175194812021864,47.639526959448084,46.18651054029756,42.275709509827145,42.42951391930146,41.2944606821505,40.55413742438308,41.91724303787139,44.70447220655935,48.50151322969687,45.70412631343499,43.36293767351688,45.13689435518536,41.37747147236989,39.47882484627716,36.43548958147535,35.48542157883155,31.06864794890875,30.710907351093816,26.202655131316376,27.36792007809675,21.926993089639605,24.261208799213904,28.25878498943583,29.572908429777836,32.20562086145178,34.311370843898715,37.08794518053915,40.25710032286475,41.89794178599841,43.89352164910666,46.918094099384895,49.09257842962429,49.29457704662721,51.16145176918781,53.97588249093393,51.402464873372594,48.049325225869595,47.338975762288754,44.910191856697146,46.29679240096059,45.98346327032018,44.851692347219654,43.47301698784451,40.67478330299994,44.40950298297428,46.95813229704052,47.80653851157945,49.818344461697286,45.10706795942544,50.65278828273287,53.98897148361306,52.018987376723224,54.382205346528764,52.73640492924587,57.74445401422034,58.52874391743266,59.08544630403902,59.90098587657192,56.17128825430857,55.93592032822708,53.39635707102463,53.44293351674791,53.49207388058029,48.85667351351874,48.76866314391175,45.96087368291321,42.86208757086215,43.99390486876983,40.324076900434484,38.34681521951298,40.38324144479301,39.974416023549395,35.36363013653167,36.34422773271493,38.09093187270297,35.485911287722146,31.832784734964456,33.8706353139014,33.99552839739539,29.514288188093413,29.646390010396825,33.26938413998038,35.689575076751964,37.20970265308828,42.39697104568353,41.428643164888506,42.02749523977384,47.11030078434009,47.08249911999473,51.701380342717755,51.602881622148935,50.43881728166417,52.03729649693476,49.608769006308236,54.670295638227806,54.485451476791006,49.78413609652178,52.19272481422098,56.812003954952445,53.995719156161634,52.00686924916414,55.63032007560981,57.021761055154236,53.09764861553592,52.45724621115103,48.06313269134287,48.11376666226922,49.65877535449742,46.80814073982987,46.72720783305604,46.51848177370088,43.736530492099284,42.707353035913584,42.000543012159106,39.87334901977616,37.196048545789964,37.30572071212237,35.6561629059412,32.49236454870084,32.561997360178104,35.840787320344845,33.167960367465376,29.329811905777618,33.45497345415009,36.42393861808366,38.27203903670777,41.07830707367735,41.47192582042093,45.79582614759265,44.29254969024503,40.991606855411774,45.3697667175433,47.312069778117866,44.838648764337734,45.3586225493242,50.808050896752476,50.2179863877549,46.58701159463249,49.62542669833645,53.820359616669755,52.27373802086554,49.519550840039884,45.35889817153233,49.71455513895552,46.184599501809686,44.26801060816475,40.19082373590075,38.59775279760667,34.020557219067356,36.590515612851256,39.01632941847362,42.890366518632966,43.35928830048107,42.459645613499525,38.88406684808325,40.47665127745088,36.81498416210306,33.68209772613786,33.66107335682265,32.97510552188201,30.30157067848843,29.80849121279105,29.08261137463076,26.3210040609192,24.911559227817815,24.98834904594917,25.440964880533375,22.723392239758876,23.491592964007236,24.795983250369854,25.668894986792356],[24.88236302044959,27.864596668909407,31.670318670709175,31.144298110041454,35.256642118943006,29.077296451735982,30.698111958444205,30.030330427508137,27.50987603134885,30.85069746869596,29.895994121686407,29.69578109536678,34.5329685856119,33.071038363692146,34.88799918740879,37.25780102892738,39.32077507796803,42.834080560452996,46.628360349723465,49.21489362235139,52.867557444452046,56.882782919708625,57.987478086306055,58.77970123921932,55.46299276756671,51.4612423979082,49.892082685797384,45.57240022003103,44.03339822932659,41.764566568897884,41.35625344557738,40.561140873349906,41.24038425190111,45.65384867834422,45.91127938305727,46.4105459497439,45.727585505775515,49.33336042068109,50.84923459431833,56.536434366088436,55.516433545039035,54.41116739243843,58.61041890309737,59.733579144993726,62.39635982747121,62.881230323100645,66.61664943883436,64.62031222567968,61.250734343060955,65.41880836312426,66.36933934114974,65.13230695763606,65.8728590329451,60.87547782974586,64.376688941583,67.38198966629601,63.88984738400367,60.86689982195403,65.06172933864516,67.08013439058668,61.905084103426034,60.96303199051438,57.53864710739821,60.0655598617788,59.54023043514326,55.47041433507505,52.207967835174806,48.143870578447334,45.94120600838347,41.944382032593325,41.854326028785636,42.54224734870917,43.64563879581273,48.44764458896111,46.834316537527755,52.13640466899497,52.80431560155289,53.578729154555674,54.226743067801955,57.193554356139046,54.99294580079486,56.38979102951966,53.191763768661566,55.89051688934026,54.10024651025524,51.11829402490057,52.63953238656635,50.637667159209634,50.68814990585831,50.28124707029902,47.93560838769599,48.743546084694756,44.66736459620327,41.71459800496716,38.30253577811311,36.082839372723804,33.44505536796588,35.7272424730764,33.62385183015122,32.50850511987419,38.273647159796,38.2355370871034,42.54862429002093,41.982284508895866,47.61620830154588,44.02972155981834,46.44266131842922,47.43414432865964,43.58629472633873,41.561052288702186,38.117247044789885,39.432728340623896,35.43757776215775,38.39586437070278,37.25084971010628,39.73954960809063,41.68152029555196,44.28405486337841,46.15466038285132,42.256019087355526,40.31907147511782,37.37364784547153,38.39241951946847,36.556496074317124,34.014054003679945,38.260372636240675,36.07963358895481,40.224518346654,42.331173918864785,45.86994081676985,47.54248687438738,50.85634762859254,52.77928671806969,51.476180905082266,49.83111808122126,45.9107196069539,45.6975225429714,44.65888211483105,43.83440917564497,45.424335628622266,48.00567557956891,51.94589232368801,49.32210906437684,47.03933105080503,48.98681607620545,45.36272608562801,43.36088124028133,40.468480119436144,39.55210939561599,35.13741133594162,34.8090935899864,30.435860101290487,31.65201040949743,26.244854145708423,28.72812539937265,32.70284523599987,33.9569334201112,36.51116880891856,38.624266130446465,41.242822737598225,44.25737667808821,46.01483886337961,47.742964062135655,50.934063631383836,52.938113962952336,52.84555708146485,54.7383006408403,57.36759258796062,54.67514087908961,51.347046067963944,50.79174005010162,48.49255438334022,50.14012097652956,49.999123120513914,49.01335991984915,47.73513290775834,44.99324102317483,48.809375171881065,51.25822255444407,52.08539957415987,53.94446006080054,49.161344065168734,54.633952439631415,57.91748901198149,55.90666916218022,58.387318384439396,56.75853207540709,61.77041229169301,62.34119014736403,62.90642409357415,63.607719376492724,59.93303446652503,59.54942793745231,56.95023945061006,56.946420492701144,56.85673154055437,52.127713203775656,52.00477549529091,48.98692349645973,46.100504333424645,46.977012298317256,43.47130004810662,41.504471282279894,43.13841497802734,42.6772890976153,38.16119826619683,38.821103474451675,40.38732845258801,37.87965380072014,34.12591740285344,35.80612498459304,35.76728173799793,31.453069656342894,31.320676044265145,34.53456975872561,37.153913525200394,38.504590079581476,43.80757822467627,43.17420154340696,43.638008984192766,48.815777811867186,48.603952182840146,53.52964786635268,53.637169920368436,52.75389001407746,54.58605113312825,52.44427925053064,57.49178936506474,57.03683844533507,52.47147570976117,55.12769703620412,59.56975901514044,56.62530805013012,54.85799571291694,58.6296119395789,59.6975290598502,55.684737833775905,55.440935039542836,50.91997675731051,51.37206566791943,52.85465415567254,49.861731325987584,49.992368097916696,49.65013958358207,47.142289916109355,45.97483544219352,44.95866668655783,43.04158061531587,40.502917673774775,40.23082262702727,38.4569334089019,35.36009158491488,35.22282950434917,38.21213861932086,35.44427110067691,31.564588084808765,35.39918236386293,38.25198957107471,40.21710731463629,43.2692077576309,44.019478418199434,48.23128216171245,46.34069163925184,43.24526066565175,47.845908676170865,49.456555698427074,46.87144858140502,47.734755969976646,53.08034687156839,52.12906188743714,48.6321068969051,51.97214059535407,55.93224504787504,54.09339110245117,51.41031822734749,47.218654949859676,51.291538479149516,47.65358561820436,45.56582171011796,41.68714821711439,40.454064557887556,35.979992257718415,38.29326420341051,40.983243254459104,44.795072643347304,45.60205482798097,44.883434990322776,41.649539544801776,43.547632127475445,40.010659922760865,36.72016627763466,37.05418460221617,36.22596216029704,33.90029494742289,33.18624430775808,32.03179224924465,29.47199467020853,28.426282187346825,27.834761873888343,27.97908769770832,25.254242664936186,25.766854369428938,26.848313417863224,27.444359752511563],[24.783441961531366,27.873716791150645,31.529729336040923,31.736388069757574,35.592001391598075,29.311290891550453,31.100023885952233,29.99706848200282,28.026033787449933,31.743815691319654,30.833032825998316,30.079793602061315,35.17431449179773,34.28611126939749,35.90181194585344,37.9831467118278,40.324481827181714,43.95260972075166,48.073823675234856,50.32389223065363,54.15893136505717,57.99293920538324,59.301736220433284,60.22951390913606,56.750694561621096,52.88146604366855,51.01552368837481,46.659587745469764,44.88988141582382,42.27314508118371,42.12380321549978,40.77274722291029,41.351033006272594,45.92584747569127,46.17633601743897,46.987170407229726,45.92866339433865,49.92236616829096,51.47288392950146,56.91704454202831,56.30651348828015,55.338057371542,59.41796843483849,60.6814577891756,63.56167409585666,64.16482860022796,67.82059865937507,65.57926311383322,62.254833760862105,66.29805700957648,67.04818148928386,65.59772812777427,66.32773435690544,61.32648477132015,64.5961336457991,67.82880349966439,64.55445301777337,61.3181982440783,65.4687481646609,67.7768255455693,62.73844687719349,61.76038692435927,58.27708330243331,61.13407236556045,60.616022886574264,56.38932549075449,53.52111999957906,49.3154125774287,47.51684299295014,43.438193209844975,43.638587571073494,44.543810786540234,45.27633902309049,50.02288492910663,48.01244490328436,53.15393578447537,53.63622633086386,54.148684097255476,54.68673048396838,57.623039960584826,55.11309189993721,56.485500598794005,52.977936160903155,55.72881061224139,54.23768415795987,51.25936254742143,53.04268370942351,50.71745641548852,51.24201028794928,50.60187460067206,48.594055340262855,49.54936005563854,45.45743910767499,42.28181172027138,38.97221146987256,36.87472423518008,34.38094748513071,35.97569665140268,33.66383611521796,31.869165642037032,37.90845904454336,37.39845924681399,42.07042549382838,41.22122678053229,46.90062647930624,43.37088432114923,45.47785792771165,46.645806427255174,42.848900505909675,40.74879449518071,37.62726870809131,39.32995968802899,35.6218328367087,38.93789156810487,38.144785585227424,40.89165586426793,42.931309930933814,45.76361653630069,47.79713977231031,43.70207924139886,41.97871332665214,38.892343442944345,39.997537049418554,37.87540791173481,35.029164885468084,39.008383065310454,36.28619975072814,40.362127685518935,42.143882181743336,45.5004071597838,47.28000225816874,50.31574662119942,52.53068784070781,51.03264486092468,49.821151418275896,46.10748874401608,46.01121859476108,45.324958698113626,44.855411889181525,46.38143306914666,49.38366849181167,53.291798029864864,50.58870551261385,48.10686035636025,49.8647891344143,46.10479051602895,44.13941244065309,40.956515911851014,39.698178981456905,35.264759432028015,34.3893978738825,30.012975292913296,30.579001099120276,25.006406529777806,27.873099721395903,31.942009057002714,33.66241348536764,35.95986409463512,38.50477440089448,40.941715327407145,44.407422851434966,46.33982617497055,48.38135917555267,51.364774056461066,53.36785315944862,53.60119556788419,55.18874611100153,57.9924631397967,55.20303950932517,52.0386372043005,51.233902326382356,49.03202691856423,50.39551368814652,50.084138656253316,48.99360573311709,47.40571224453606,44.875843675218135,48.32416409483037,51.06172771843756,51.666954875944064,53.827160192445334,48.844715916448756,54.300124859578254,57.674830752039924,55.89256104841061,58.5582967887231,57.157475629904965,62.12524075286936,63.03164589047301,63.32813955778744,64.00083218791146,60.19295150916057,59.706310293795575,56.99553253101914,56.80334415308607,56.55897318334736,51.90294493869747,51.46810355242732,48.418922341870946,45.34530304815296,45.924347274504655,42.25118657364952,40.64592462436947,42.329807368559514,41.447161851912796,37.07896737950357,38.32045474900535,39.45517133921106,36.4303277990352,33.27248301644229,35.053813699062104,34.598945877535094,30.30095559431488,30.76695275479811,33.8013519595344,36.611521687690626,37.34688665227888,43.205624027127534,42.262892774928844,42.369246395062085,47.42833229519732,46.85064352274938,51.86697509866119,51.737176240903224,50.983277231807726,52.69786342535506,50.64768997972969,55.72639292694056,55.376548699887095,51.11714493425052,53.69293650334738,58.20854484862662,55.50487259525358,53.83401931762521,57.63428341132418,58.863042088514575,54.981023090610314,54.864254857388076,50.171087062246315,50.37574076601953,51.590668546321034,48.34969123946,48.25119319148445,47.54874528171886,45.196421695921984,44.34982195332505,42.949177241614805,40.84996937088375,38.7132035091294,38.49989645094137,36.30768345097425,33.24205605308131,33.49566869891131,36.126533129987244,33.110192331142926,29.59820843971841,33.54506565844424,36.11639736338328,38.36162050004506,41.25693350197882,42.151354259630345,46.31464788519648,44.52178604562974,41.80913981305964,46.33881264308382,48.005366458458504,45.6252784930764,46.7019762370827,51.85929863329265,51.09631385401423,47.91270242795639,51.223131980509734,55.058408568452286,53.44427763444583,50.97518002035493,46.98928359027053,51.16552055905737,47.81049235552037,45.37705948242589,41.75519670345384,40.17859743915422,35.86107821607902,38.62293684843484,41.18987120377497,45.009187059108555,45.685141415196505,44.5554878546019,41.492743645646584,43.13774684100691,39.91480903458696,36.30288887609607,36.139433166394234,34.92744734513934,32.65075370362927,32.492733088756175,31.04142962393894,28.108292653951384,27.701316640385482,27.40546829665652,26.958932885889336,23.761928405163058,24.10081246486244,25.21032916825603,25.95448902736996],[22.39959779342128,25.68372479291517,29.5551828123635,30.084576981678648,34.1717914153583,28.170344756031472,30.368031159652492,29.51281118517337,27.94078884299776,31.913662886213466,31.403523303638405,30.72000507022215,35.59839702755803,34.843048243957526,36.83484260263599,38.7868541921539,40.87754064256855,44.745273647042296,48.85610276211413,51.011825169956886,54.9202706244008,58.709665555943346,59.97732617933536,60.758191712333755,57.18493633317924,53.37983099544139,51.370657630484004,47.01647109079337,45.436160683910906,42.83735392418912,43.231135502933974,41.62442897236542,42.51624209082882,47.19041105978653,47.134193230627844,47.82149368583604,46.5177884978234,50.38985657035998,51.72602372038715,57.075578811169855,56.4324027270552,55.795542526883,59.88671457466664,60.97658225505389,63.912755543911445,64.35509614399636,68.02829040981197,65.79168668603468,62.27558761996151,66.16681394455765,67.06975525739551,65.53794343628307,66.4950211661623,61.49835389713177,64.86058716274279,68.24939174606065,65.00955260187214,61.88237632179126,66.14101777158325,68.42135732299994,63.4865435693287,62.76079996921944,59.39321115658306,62.30752717777341,61.57432385806108,57.28644882591847,54.562860132813874,50.37218914015746,48.592147115567734,44.622120010307896,44.79050611372444,45.92948651053318,46.71970488692902,51.384255942380406,49.34221321616742,54.650805939711006,54.83003364215896,55.47694098316608,55.75822574563796,58.48870766504624,55.829198926920746,56.90999151756337,53.28583233769069,55.78789370033122,54.28474068851287,51.53951849685647,53.567830683635,51.385564792608676,52.11116674420768,51.769918671843726,49.86767288226875,51.11561942885822,47.01378732370895,43.78639514469894,40.26982649612878,38.440399520743874,35.70440194837829,37.131331516455504,34.556277093823695,32.655082800649,38.57092024005433,37.57231759957557,42.320578696340505,41.001429129011264,46.45799374714927,42.69899819001079,44.55011305292961,45.50385951061125,41.56005612855536,39.73012974593183,36.56107555284842,38.6190203312441,35.084934821969426,38.482329917956825,38.10774268950285,40.77467139321638,43.10945281961969,45.83346165919765,48.28413961465354,44.2874994778831,42.46349780940432,39.23930756191749,39.977155476489415,37.670416554444174,34.62771444633559,38.328827052049974,35.238948526328414,39.39786481512516,40.998972705318444,44.52471040749969,45.97596563553805,49.00670827182639,51.38185676910214,50.098918553507374,48.842809424014064,45.247935609908374,44.8099121896843,44.45505631667557,44.16975299972991,45.92023429088028,49.04787776074713,53.114503800855516,50.62342688701109,48.01279170704143,49.87367518403406,46.254682828597815,44.11848165288996,40.95782006696123,39.48921383820696,35.074009765679754,33.96245770133097,29.88302684997864,30.40741380040382,25.078673624962647,28.3470824882382,32.251067622519855,33.93691329477528,35.8797079138719,38.66125863359968,40.62148577536307,44.05733121174706,46.346107338250334,48.144960505074295,51.23827725144662,52.93876848798195,53.00057552063756,54.38436321703956,57.079077804341175,54.09965798170457,51.08400222042022,50.28652309948584,48.31655602305512,49.83906743634148,49.6926054929343,48.81217667532762,47.26168393960974,45.02201716358693,48.472792500497256,51.07762363526699,51.50235162572516,53.50529304388708,48.30088901262302,53.609021100000234,56.93374475263968,55.21823548404392,58.18664178341682,57.008515862009496,61.94886854609358,62.7571414363043,62.832388681821016,63.31248531348454,59.49784693824354,58.752499335626595,55.91547523348214,55.58172667352337,55.117464743275484,50.41969594703629,49.84254674858378,46.61043412432758,43.68977074338143,43.97677897266566,40.440162290408374,38.9192811947356,40.27233783128749,39.277019267463686,35.03409621894366,36.174359123481636,37.0690020385004,34.0530305526983,30.948617031900476,32.524039274571514,31.899368994769837,27.732325081045087,28.19367674703775,30.952239562844703,33.88526741625893,34.407257576080994,40.40274067977479,39.550915920345744,39.533008281881486,44.60740749945859,43.974532919527704,49.08809443036922,49.07001742128537,48.47658257590647,50.34660148822641,48.50957015896859,53.55843069229559,53.010589161968774,48.873255630546595,51.62734300682876,55.998799032819186,53.237489822647404,51.751875159413636,55.6593059591521,56.67202793794764,52.77236959981223,52.989663357998396,48.1670158423795,48.656865046798046,49.77118670685373,46.39908049895365,46.49866675354393,45.716687316120534,43.62966088146312,42.6149109018405,40.97103913877223,39.11801748598301,37.06953818910955,36.49902088657269,34.2633452907942,31.278409401503517,31.324299375006746,33.74926027005354,30.73433505708499,27.172634514765374,30.902946229812805,33.414065133521774,35.68909878240148,38.72392955247526,39.839742541394656,43.90774462018649,41.87707629767942,39.310005939182474,43.956928296430235,45.41273025208072,42.997820565688656,44.30948633483944,49.35371379297951,48.41376358133659,45.38198537047066,48.85223170543316,52.50761181553035,50.790284016752295,48.42793491696382,44.50899404634661,48.558826091342326,45.2796682633817,42.64537654167898,39.22322146115411,37.712421361964495,33.54564574688365,36.33469054284312,38.97300073118838,42.73485419660022,43.55661518595296,42.38905649975025,39.65760818057322,41.448397717266005,38.4819553611983,34.633349301117846,34.66056893282082,33.26106965852537,31.3822849912332,31.09430090992589,29.195813372766487,26.429828547637353,26.511553586578934,25.678736369845318,24.839714755328774,21.61184705296986,21.806813578362313,22.744130189474006,23.35141612203902],[19.199389483516438,22.31981235551451,26.143438933250746,26.341460645714488,30.45455623852739,24.44260617534571,26.619482281700986,26.010864012991142,24.31093658824133,28.257414635877176,27.930882855060364,27.518215403337877,32.163284473554214,31.27597751430938,33.555929084297986,35.53665462091128,37.37750318077657,41.34048443372911,45.35093330586474,47.55519580813604,51.44302909158383,55.26496744759581,56.44478720014759,57.117225324857515,53.54763414252133,49.73578433605817,47.74390537459519,43.39518044298078,41.9876393344661,39.54329990403495,40.16556166883975,38.65448367710579,39.82938650341302,44.486177605433596,44.20864956155101,44.65840493981783,43.393552486289735,47.01723152008826,48.240500087264984,53.66011931619337,52.83772913346376,52.28869014382754,56.436818874517755,57.40453844053101,60.29003195901967,60.648735586199294,64.35096508567442,62.18743164237221,58.59388575629051,62.473654181417714,63.49488030815506,62.01743392660705,63.06210839750299,58.07177653015262,61.59602666683496,64.94155990786926,61.61914937808333,58.63975085404709,62.97467852608059,65.10676663333793,60.16744642340925,59.61362350195968,56.342005194313515,59.16502138191894,58.286083009673796,54.01352885721697,51.24356829984397,47.11484556192522,45.230788849479616,41.360419984082945,41.44075188808393,42.71296727552499,43.616204954827154,48.224813620715885,46.28202647793361,51.780256641864334,51.795897502507025,52.667447950392216,52.80923830955599,55.417252095726724,52.82790380709741,53.7590878615444,50.25593309482403,52.622396709518455,50.95224286566759,48.292903662179015,50.31300308141522,48.37788760157867,48.98163112507496,48.966193746182604,46.9730887769978,48.39153678602739,44.29096828788945,41.13003189448536,37.39525743085409,35.73774371385188,32.74017453605822,34.35862021201583,31.707217536835277,30.174317913292775,35.82269853991195,34.87170321117815,39.41184649458548,38.07134771809643,43.428080015713995,39.558587401898514,41.573290874717884,42.38345691767937,38.38848035626734,36.62222434444514,33.23275650619334,35.133389670242174,31.485489491908655,34.76009525955419,34.38021101417368,36.95086170828797,39.36418327559978,41.99808474394789,44.582604914119145,40.67552294007035,38.75797600351619,35.49601333765797,36.09116039158104,33.78041403515084,30.754133378725342,34.49522982087335,31.560375926546286,35.76484191717841,37.513252215857335,41.1614145851347,42.54313012647477,45.73366228377824,47.955777213597166,46.79708617198406,45.302985484588156,41.617056342205025,41.11887778918189,40.64597723507769,40.27530902871811,42.07603937516075,45.13400442713264,49.249388032355455,46.82861868379408,44.22714403139529,46.18236080398561,42.66414901979722,40.4470202448356,37.40385952780443,36.01434229595627,31.60333336422541,30.71581649681707,26.72724532365958,27.700274785790754,22.616455577016076,25.83793899703828,29.557024118562826,30.911583808605343,32.852666376069976,35.47738254482024,37.3568514429922,40.54696963002838,42.877567622448936,44.462651871933964,47.681541661154476,49.291239776859655,49.2004606909702,50.67022383179545,53.29801550419806,50.34619000465402,47.274243880550515,46.559814228478196,44.57283369197612,46.23906323743875,46.2131786898963,45.45246651020603,44.091349180279124,41.845080211865636,45.53318153105169,47.90076182146569,48.38721391940368,50.15348205142556,44.99407859154448,50.288002884936496,53.55872436211445,51.73113899387714,54.68082602034851,53.4583226852627,58.4090331725788,59.04763271888205,59.18358635269373,59.644362506772225,55.87854451584135,55.150718909257485,52.35352742775977,52.10124281967441,51.73062122294772,46.98994997133981,46.59192329439124,43.405863063537744,40.555395960134334,41.097227151309355,37.63858044313556,35.84814878068105,37.26334572696438,36.58657556405819,32.18077687257074,33.0237661925017,34.284661730247514,31.61622465579785,28.062410004200164,29.72807078991561,29.491604304023213,25.190895560127544,25.332966829619217,28.47420344254766,31.18547677776344,32.269599655022354,37.82014911138305,37.01292787459026,37.34053555683612,42.48687470086617,42.22397550305287,47.143260196355804,47.23814083612693,46.407344721634054,48.294873303392,46.28132173533167,51.318938931113344,50.76802699201824,46.3248430878555,49.07526914113256,53.448906716326654,50.539603074628985,48.91197017075341,52.77677119185188,53.767167202857046,49.79489463050568,49.821254622754495,45.123984229013644,45.70216852369279,47.02399268688395,43.86829017051388,44.12459561182745,43.69633972704747,41.42512102065457,40.13139910693156,38.886602654709584,37.17117428686953,34.71137715202091,34.15052823620047,32.33522723795946,29.29162738061046,29.019921833304014,31.89622881874038,29.159075267938146,25.22313444346637,28.99860462054856,31.8540685821819,33.81386516440303,36.89530295454918,37.74065537483043,41.90838475901013,39.94706613145699,36.947338374820184,41.586442653579304,43.13546660493414,40.5956453020403,41.60613787767999,46.85325235301112,45.927886863004794,42.5955957013033,45.97925926903677,49.829069462980286,48.08114113287895,45.53203904508493,41.47779344829831,45.620018809193326,42.20697017907653,39.85614863949079,36.16022989503739,34.675005674647366,30.333215566193704,33.00941278830733,35.61863448083806,39.42715286832141,40.18891694312249,39.187505101512734,36.24115275957426,38.11892182431393,34.95291918085245,31.279583656646956,31.584104455175567,30.475400772042793,28.54225038570955,27.850918381185096,26.19732441407215,23.669396817724046,23.263128327191154,22.296868818774392,21.933566601980456,19.09613845777328,19.555134525787043,20.67846482665664,21.40413752549115],[18.554473280769574,21.182835245360028,24.383898525877427,24.48029787200253,27.984044170103516,21.57781676935713,23.331403842253344,22.306974054868988,20.502168743992808,24.458128109783946,23.953993391065197,23.302832876816574,28.111604123852867,27.443147231549002,29.49832181343735,31.38886569846267,33.42555329589867,37.35373493859086,41.53176737040783,43.59018288821868,47.539987343442405,51.28547005591772,52.58522624705936,53.39259446842913,49.77768039792389,46.011744194709664,43.93120611513775,39.56804334964299,37.968871250761914,35.39241308998061,35.979230085781595,34.35798196950621,35.49659542205127,40.17556609936058,39.908391551741325,40.45252270232285,39.157749576358,42.92786742298738,44.259587346551754,49.64872957263097,48.98952712186383,48.33005076278099,52.424826960990394,53.52854869889098,56.485483430277256,56.990323794123015,60.639855832008315,58.3589123032296,54.900512240980404,58.82418019283845,59.6602387301592,58.16311828515406,59.074319849030104,54.07484016335673,57.49402022267252,60.832466136254496,57.560541605087636,54.47736728685526,58.76992762096925,60.990671152036754,56.0643066119752,55.439557109684955,52.136162419486354,55.06242096986155,54.223288303128356,49.9064280399218,47.27777206153245,43.08427507362531,41.40932159091393,37.483777784554334,37.74557498091202,39.13671214984862,39.79592117918917,44.363574288217535,42.229422775538694,47.66658068395129,47.615242027696716,48.41104277539257,48.536164958433886,51.167293464220954,48.5494013993123,49.56449682179265,46.05926086549756,48.543461273008646,46.931932324356474,44.16103983209998,46.14803194431524,44.10187898618395,44.76185978606298,44.66041447491665,42.741457103535986,44.22172359390594,40.121893043875055,36.90249838791794,33.17792658206379,31.59256173268908,28.622734177450752,30.047881673282372,27.376336955631217,25.838982159933494,31.49682567477431,30.695881885989774,35.206356035021706,34.08765998281527,39.59363986991677,35.8998922886431,38.12282185594358,39.1482363523168,35.32635236757807,33.26526202316729,29.974661299136322,31.608547314763438,27.897134476037223,31.245198123970287,30.70654506875686,33.478830299919835,35.73559171102013,38.585740514344586,41.0161271155307,36.942782135602236,35.22019976833353,31.95000610703717,32.860814870612955,30.503850379556674,27.466845839428412,31.30373436926108,28.51091656656233,32.57790667632752,34.41184451678435,37.82083948749843,39.59162518514479,42.71312347671999,44.81790513052491,43.39529860393728,42.0565650755896,38.327436970703786,38.26586074154462,37.58857364518856,37.23349915494201,38.76720262690118,41.97082829357847,45.9153652148537,43.292053995666464,40.67313251060819,42.45640025459184,38.78983362545698,36.69665817034543,33.51892583870655,32.153179662715395,27.722013934723826,26.882405017659686,22.686428232430515,23.69362778478182,18.52914312056582,21.564863771970632,25.317910568856963,26.691812638982626,28.784930191654905,31.34080589795999,33.471504627098355,36.79022826839961,38.93377813171597,40.79992604923376,43.856934616921755,45.69407879554003,45.89924009138764,47.41826662783812,50.24049453309885,47.45732314419624,44.30798226716774,43.458789539597404,41.27963852891035,42.68213110071809,42.469159791127794,41.534341173050734,40.09519976864512,37.72109129184904,41.37678703185838,43.835674704060274,44.39671324195853,46.313558011307634,41.27702885609015,46.68875830004361,50.01879880303906,48.189620552486396,50.9479600198976,49.64119498985679,54.598856409037836,55.43703688074486,55.63612898300202,56.25245165123016,52.44576759627382,51.928928583062536,49.22819182231854,49.07716955335702,48.9145960239234,44.262783460318076,43.96649921460337,41.03996408580413,37.947027381406414,38.862003323141295,35.20978930218277,33.340875888211656,35.26294952900083,34.718731040141776,30.15525020824106,31.307723586338515,32.874366123976976,30.160666626699605,26.63573484161816,28.737474625742212,28.77684366877133,24.27074204016536,24.644097911282966,28.31262153752928,30.732469291345033,32.124583154967894,37.41976401634288,36.27202322231853,36.81907258002033,41.86038301581357,41.851401054429154,46.40287218981303,46.28316754693311,45.10332568868638,46.72251174325866,44.34521759259931,49.404515589657855,49.16858872826446,44.51394490540068,46.97494793005307,51.561385199437794,48.76770808977889,46.85268771241873,50.539664413238164,51.89730492225212,48.003375825173386,47.52405671745724,43.004509660099814,43.127093783973,44.5714291963619,41.62036564650985,41.63862671456546,41.416777447680545,38.77067376536069,37.6143472980187,36.800493983272894,34.82567346670758,32.13549512021577,32.06004355684306,30.442386369654805,27.294943250025494,27.250289835198387,30.546178617675125,27.94882090793595,24.02948162660433,28.163621895547166,31.188591784961954,32.97223637122562,35.76708237227753,36.15539371542668,40.47312053127152,38.97182818629779,35.67031963392126,40.0498656722041,41.99512384131824,39.56020696474039,40.120503983460914,45.52555415966038,45.0014708725739,41.456595902333305,44.48462794051616,48.63790175075152,47.193174667017246,44.521080569895915,40.46491163897404,44.91159136264388,41.5670451863217,39.49921813245489,35.52467489351262,33.68357991757307,29.186226229098203,32.07362335966522,34.38720329841746,38.26607734928394,38.649855554103276,37.51359220752286,34.10181055360949,35.651078562158524,32.25330090044888,28.825247947325526,28.75616346915348,27.88503149430804,25.46435738028048,24.976237406988215,23.92673998241262,21.159044163024088,20.154331912330303,20.03355242502473,20.190517194743375,17.430715372847434,18.264170220263352,19.68929600678583,20.791831845304603],[16.536448347770605,19.0454339172004,22.51546113088684,21.814288090303606,25.78587011935565,19.654578934635964,21.483400178564764,21.256238920048155,19.031664641418036,22.72389446663311,22.540456193862305,22.66947761247533,26.92171109116578,25.675343215682886,28.31785749434295,30.424113648244447,31.903274979537354,35.9059481338569,39.713463701056384,42.06235166986302,45.87000350554273,49.7758364743405,50.81754460879833,51.36489923564863,47.849092082628104,43.98836675475715,42.1139647083104,37.78537964924896,36.60873963508928,34.462822733712144,35.21547604019852,34.03667806688136,35.55880556756048,40.099952488615365,39.581092193432056,39.654465098234596,38.602890746560554,41.80989985263314,42.931877018649246,48.52423213104374,47.377530699064884,46.818681199340155,51.05539934346521,51.876414453203715,54.64227170786907,54.91287575167448,58.66214828508776,56.63784581706843,52.9944064562995,56.94179862451836,58.106000600722055,56.779418707414955,57.86551595991958,52.88187866486233,56.6330253265937,59.82502634845018,56.3400199500025,53.578752353013144,57.996120891438316,59.87435302138998,54.88211242437764,54.50226451429433,51.36015505381836,53.972513307196294,52.94792833242484,48.751417332314794,45.81893568467805,41.79988093179089,39.70763971583861,35.97512738708851,35.899681890166406,37.290848932370594,38.380326149798044,42.91768985349656,41.18578880977511,46.926633956466524,46.81268504809207,48.0141952245702,48.04402168424602,50.533327356863474,48.156140926111775,48.968018908569576,45.751943995728446,47.98402394576467,46.017825016722306,43.41708463557678,45.28479203295528,43.73457906611482,44.0063384924063,44.424174413987295,42.219264590131715,43.78725026347898,39.71724215167656,36.72382151893777,32.71933925388205,31.25777827806814,27.914398803120392,29.986864184641973,27.36702863000457,26.620311826708804,31.751324548900598,31.166906322319637,35.23478305840984,34.125972530764166,39.374399772470156,35.46645398696378,37.897251594708905,38.554214255109336,34.59149168525819,32.81354508729777,29.082682857986082,30.44852998282855,26.497044456256955,29.452034476855143,28.80898626161591,31.22203919696981,33.614592943585095,36.13041362866442,38.732989596913185,34.9482733210742,32.90067246700238,29.651449737733284,30.165535707635907,27.966294427613082,25.109601742066562,29.093013145216542,26.717406953700053,30.93344453584008,33.06059731847912,36.807005487201934,38.23339357109,41.69331186160899,43.53453724982806,42.48989602008533,40.59217789874148,36.687135795904595,36.267204022491406,35.377963289525816,34.731857809878626,36.5011144626764,39.33984573858788,43.45272336077551,41.06119079584203,38.55729651434824,40.63753250187469,37.23683536644404,34.96398653230878,32.151713471590504,31.048624452110367,26.667880113371876,26.37727458108273,22.46688925565898,24.32330627064156,19.730791927291214,22.480834907925875,25.87782139779849,26.58832499382973,28.706948996367384,30.868689045133596,32.84870160679041,35.56683038197857,37.76483832961801,39.07358011509333,42.45945052277859,44.074291659539355,43.787061748310144,45.524633211198704,48.082496895755604,45.28795180808986,42.03546894812854,41.47681643804824,39.33175776935173,41.18006200786712,41.288693707908386,40.63658548036833,39.61063616776454,37.20653074770618,41.3009867099059,43.29634380517528,43.99091995892757,45.41905889749778,40.48096252946676,45.8001805096561,48.983584596846605,46.927651480598776,49.67329395413415,48.25848039657547,53.244848982981765,53.630626235189865,53.98366182552419,54.50703214374819,50.84549036194367,50.283091157204666,47.63286805516561,47.615471262135095,47.51528140189986,42.75232663273025,42.75743093506698,39.77900072169462,37.00865100787898,38.14846225214441,34.80544687508237,32.518440746956486,34.201415965972025,34.15619381139284,29.49010287462283,29.827716965757894,31.850184729109785,29.846418323967047,25.576678118407752,27.46483776675533,28.003974492530375,23.56922694272807,23.13713539812228,26.973134282454666,29.15012070754294,31.26771185632086,35.86798716749681,35.1095117007978,36.07250824181938,41.23060194294537,41.66373996118033,46.097676444916196,46.31079732596656,45.02794328080556,46.84683706611538,44.46182297928228,49.43830323719638,48.98522283181913,44.021059510647426,46.65021240496301,51.059951558385585,47.95539529567443,46.00889747926594,49.702020199905135,50.76223966038424,46.711789262182485,46.232083964143804,41.868096079772364,42.44315188694964,44.16448092683195,41.479834588714766,41.89553802898502,42.09882175511842,39.420776117998024,37.76334440051873,37.33660797450413,35.75482325083199,32.612979012026315,32.26987508630596,31.22184457909546,28.131466976230296,27.445971508891127,31.088213586054927,28.880116639257018,24.521296211769464,28.33614868534962,31.674202658074595,33.06448403060513,36.07871221139206,36.357872905642054,40.65870757435482,38.95962340555177,35.23765730572563,39.719362824967895,41.50511480701098,38.815667692503574,39.18321053862396,44.75878456998105,43.954143497064145,40.084570705938425,43.193101759312825,47.42388224603356,45.69248032588134,42.80442089165385,38.53317833329632,42.840392642410734,39.20356825854098,37.483100120962696,33.2528116595552,31.81663139452578,27.173084467318066,29.55054684415074,32.025643880777466,35.888513410473244,36.46548724268769,35.80121221912096,32.323107729500755,34.262327768519725,30.610520436911948,27.469669260640828,28.18189264595095,27.73703881853039,25.524285483202718,24.1744991128273,23.29885013785098,21.21487671011515,19.587325779602235,18.70202393254004,19.535457653029674,17.566889378967204,18.57906367928289,19.94624056257961,20.835076476714445],[16.43253395163456,18.17587952163441,20.97822665128854,19.596249882399015,23.076488469395553,16.77185938605496,18.023775135841667,17.884338638361907,15.124301539219255,18.542367481197434,18.334338328378664,18.801107798628326,22.821153634781723,21.365394716985264,24.142137881206473,26.320292736639267,27.64640169274639,31.633484062735338,35.371909586418326,37.774654594049885,41.547463350266945,45.486221244553214,46.4899102862303,47.02866208470868,43.53717708638158,39.65155649124194,37.836911907112956,33.51489229748363,32.395513469929675,30.406295141494937,31.165318792846264,30.213580399661158,31.916737195068073,36.35545209637673,35.7169726153916,35.58660401078178,34.70181420018831,37.69431246192298,38.817008625983775,44.51945518414111,43.228801293871854,42.57918467134316,46.85021618071061,47.65056574760216,50.36373888175171,50.65426567952945,54.41198869178886,52.42666887266087,48.825603697374426,52.85337327540085,54.01848569227299,52.78753582974557,53.82119383644872,48.83953338216874,52.67838873576167,55.75309586132088,52.183191814826834,49.507212985558745,53.94626643868174,55.70342312552463,50.671830349650264,50.34455395051646,47.26171961429888,49.77231799723348,48.69443969081804,44.53731636655655,41.536289750800286,37.560841878253875,35.406507617859226,31.731914243798197,31.624626874239883,33.12058094773611,34.231917059556125,38.71296242828634,37.05226063729165,42.904770812381706,42.71648225847046,44.08619117417755,44.06795989731565,46.51115820906947,44.279623636819636,45.081634277258274,42.068975653399164,44.282883836546006,42.154428345333926,39.52674015415383,41.247494527813366,39.89319896529889,39.942497492944014,40.57631778334576,38.251578214457,39.904515329941276,35.86698540506121,32.981981127706476,28.835158231176127,27.516437399300585,23.97695260722792,26.318138988546206,23.770807976786074,23.623095182499295,28.340681904727646,28.13710086323645,31.82245124583544,31.025588127570607,36.245887459492934,32.44067638434851,35.23012924165787,35.8932848614907,32.078315710847136,30.164684606096277,26.302484230756505,27.124101310303054,22.935441735397006,25.65411487356732,24.685568479562498,27.079966909562874,29.34890995404623,31.89046668418479,34.38704762259192,30.599573096193193,28.55066614868224,25.31915247736284,25.96820406335928,23.858096092848246,21.162801700837058,25.399773904383327,23.566547336488476,27.677333640210918,30.102366227091558,33.762357688774706,35.402921051584165,38.97920684562022,40.50500314824162,39.40810051441891,37.329654817989976,33.267799324839565,33.12546469672031,31.833567802665158,30.98185260631733,32.58238793511509,35.31259178673076,39.330570129409956,36.84727570669475,34.4196132719598,36.500939311362615,33.10234701716072,30.86634031757647,28.164097074754245,27.311466652968384,22.96863389767107,23.179852124393193,19.266714362690788,21.757035862534487,17.614368934414447,19.78225805119486,22.90505664656699,23.143190464279147,25.47585247769815,27.226158589192174,29.427568233834446,31.860722912579057,33.83777377412331,35.10178947566671,38.51539351343832,40.262186788181815,39.988702557804594,41.94013074928651,44.538723322150275,41.942452688020715,38.534623560520956,38.02355269634983,35.67343286061851,37.50969168406391,37.61054819813425,36.936099273104325,36.100571184153054,33.51452946154424,37.84529849636352,39.64260407437615,40.5215656212636,41.80654687924473,37.10604080701529,42.481663908445725,45.62736451912871,43.4261517367043,45.92405099440202,44.32888645518275,49.3418833637956,49.65693668133956,50.196260203731065,50.84209933352262,47.235941321601395,46.892441353259564,44.39520399602232,44.58207156989735,44.752857691267856,40.044822482454656,40.3536270152353,37.649344331766535,34.84611821200736,36.50851314662054,33.19151006351783,30.599027645014285,32.652853432532574,33.04138581286104,28.2415918757711,28.39994302203586,30.973312299926523,29.37072818091191,24.81662698496587,26.966527916114455,28.037115612685792,23.58761293332228,22.94393817095444,27.249050544255798,28.957966079802564,31.704201131199543,35.60789055101404,34.75257044238065,36.12961250948143,41.17753825387552,42.066468553556234,46.0508025841747,46.23714856222337,44.58773443439943,46.23798046318825,43.521414534210706,48.42735342690543,48.167300166320416,42.873282678207175,45.28344551058599,49.7705790803454,46.631542467612945,44.39363266809303,47.87848488847681,49.1336671862267,45.10265860696747,44.102613880181686,40.05620058546062,40.41684136167271,42.414433835545516,40.119000199578544,40.511585842834705,41.15093816770578,38.112940370744454,36.337714036409864,36.565719500420876,34.964278222951705,31.397180129528753,31.403705334096404,30.880737788776024,27.797256083279873,27.00549450087439,31.140172491655218,29.308697435239694,24.878005470404524,28.741434514341805,32.305639912076366,33.31434043600828,36.121646682386235,35.90906094608693,40.28164429430993,38.933667966421574,34.76274943430784,38.981378707041415,41.039823054689194,38.34842965022893,38.16427076866662,43.92697916482308,43.362215639409314,39.14978120791884,41.915534506092946,46.45002939366299,44.86827313714594,41.76650949589937,37.41714816563697,41.891383291316906,38.191948126729336,36.977546033272866,32.39279051864981,30.867400345718174,26.075823042719822,28.297281360368235,30.51643908865848,34.38398272367966,34.67686539564825,34.17457233267709,30.19795938943451,31.99990946153885,27.955519084648078,25.35180763165845,26.140824553514513,26.240333506366333,23.673792348973507,22.018945657438884,21.980178288745286,20.147100539292822,17.464142080829628,17.103006932157175,18.932043912680495,17.619389418109353,19.01472703256924,20.566559440858967,21.605119076587584],[20.106458164632436,21.51244328519454,24.05101193552242,21.827781415840708,25.059193555134684,18.939895532851832,19.40184400030505,19.391437081306947,15.698771910170777,18.134384544502677,17.35290659998555,18.387859851818256,22.252926511497105,20.020207424932295,22.5629883577153,25.170380583166857,26.467737196512612,30.054032758740274,33.481944479962195,36.29049252145511,39.81721644815102,43.956302984784976,44.81833818308203,45.389376783098214,42.1378007394543,38.077704724174005,36.68800663904678,32.42763074532135,31.330468884140245,29.682556263810564,29.618379041133675,29.485768898607777,30.960798721561797,35.10971146288894,34.769203847310884,34.466078989397545,34.19223075214345,36.91906594901438,38.222731764068854,44.19100391958714,42.58274271479568,41.47615403001528,45.81785198579042,46.66568453929449,49.133609880671145,49.48327445412178,53.27871830118411,51.495279173819625,48.064620575413336,52.33250732508224,53.507784623527556,52.53702902455543,53.350382957578084,48.39444734460998,52.30899458296918,55.03236085984808,51.261885372572586,48.67337816558583,53.030875912026346,54.56729029612578,49.337478140998975,48.80339461884951,45.674815997720685,47.842080301325716,46.955553095809144,43.00221379774711,39.51473879780379,35.65217206303469,33.10020750018793,29.38632395627396,29.03082577683178,30.116559189917254,31.525062281060436,36.14710036698441,34.88096747294048,40.73225995773757,40.983636547270216,42.46576591944485,42.78016044170496,45.431797226737444,43.626528744337286,44.72745708024852,42.123867797948336,44.512720092729914,42.16364837444089,39.32933618194211,40.55228438799786,39.35875828025286,38.78081778045749,39.34346802839672,36.619800460580386,37.87409310933256,33.87021915858019,31.259202910345802,27.222276989623342,25.546771838776134,22.090504370365288,25.312340196023648,23.304991599627183,23.9645106311581,28.404332331788883,29.14351435183499,32.33627847129429,32.29663180184547,37.58394832901299,34.06705025299274,37.2826731785456,38.01051411275066,34.41405128287677,32.343025284352265,28.426330386448956,28.493095206066954,24.004993560886387,26.17867702187592,24.372429789001288,26.558476517853066,28.344344117314144,30.774740797801204,32.63168465794208,28.926636998101607,26.787597264264228,23.875388015056306,24.894695681714484,23.34378024647057,21.301071061554786,26.010235290176844,25.19756114840722,29.10316298223465,31.921220169775264,35.436365548255935,37.294948427098774,41.00588347405278,42.110250466243414,40.966354038048586,38.628557109862356,34.355876033602456,34.49692576087147,32.562284718656294,31.199362055425905,32.56306991392795,34.73325422113366,38.55960306220165,35.93035763711127,33.850976384512954,35.96716803763308,32.575089904810866,30.529224127084845,28.131351145385153,27.87085041541957,23.67329281234168,24.66940000148215,20.629523611883304,23.600190458088917,19.59495579454268,20.82302620775821,23.893130852970327,23.713371051342293,26.59433103804471,27.62458108622639,30.45663764700528,32.45829670654216,33.84394048592934,35.072931212440665,38.50320707782826,40.55926598915743,40.1974905133527,42.59690110601614,45.135537179229985,42.855883461290944,39.205900091302645,38.90288641862315,36.25646289920549,38.129553445591384,38.19671720948386,37.39910239896032,36.806859913211525,33.77715509302249,38.350336257477785,40.008005518238754,41.24869658646395,42.431410176873314,38.204156148891954,43.64955389212933,46.7253016005354,44.30441533025671,46.305407511551664,44.30808871498218,49.349805193108025,49.48307695631689,50.462555114142106,51.3226556682728,47.86746592388481,47.878337505018536,45.63343477881712,46.1153247282886,46.61528861869276,41.984877105320614,42.663097569167036,40.218842945242656,37.478070824000184,39.57021490657672,36.330515011365954,33.502001507070474,35.75602659715895,36.498434028359725,31.661700575506398,31.515738010229878,34.47899204309568,33.21798206606854,28.45510299968779,30.599991155919817,31.977971795955337,27.601626082184243,26.646965378273133,31.04140367490415,32.515102235738084,35.664424440755894,39.077760715187374,38.37514278715115,40.00735061581822,45.022928970087854,46.14269817706245,49.952814678393096,50.188733997078614,48.37790851878117,49.95421414544484,47.05866387236162,51.8963942720309,51.737219566138684,46.24233051054592,48.51404539904559,53.00926101089353,49.8111523016711,47.38819094318822,50.695692898997386,52.01811892447524,47.98092138483288,46.60444380695947,42.88015580687883,43.13991054468404,45.370603150900514,43.3928858387724,43.746872012748156,44.648953938448166,41.356600704396925,39.57710414517413,40.222102937087946,38.55121836117816,34.78808258185441,35.05860835533347,34.78476299398755,31.712630985059405,30.92256637996244,35.23778526858626,33.5331311471423,29.11395351035729,32.9518815424427,36.580306720637125,37.44520190875977,40.18729262246927,39.759657990338184,44.142941747240805,42.929872990535195,38.544196429822115,42.62595086557717,44.76997513712753,42.035372147184326,41.549452664596366,47.406827395908294,46.86901753736083,42.42232138180515,45.020462595422465,49.70642088964087,48.08526326477997,44.81206773056519,40.35836861543296,44.7693102909027,40.88607916761692,40.095942524460064,35.29127553609029,34.0042763557912,29.158888453361204,30.93233410842502,33.102418810813944,36.89841854573479,37.14789126859509,36.99405394380089,32.707418199426996,34.49625359823463,30.088335074906592,28.09464260427017,29.02100314700514,29.544429292635797,26.69534076672624,24.876363803709683,25.464039967898206,23.81258336100267,20.45820088288833,20.448274537601264,22.832051235978454,21.80876704030744,23.267670951618285,24.77330559363502,25.662537454664616],[22.32264699862837,23.23164859539786,25.446576276055275,22.30814202513533,25.333643077370763,19.80150138329527,19.660683912257372,20.225722732473177,15.944952264450713,17.246635694741872,16.393038289152294,18.372510483964916,21.40715528230359,18.30214218459299,21.05567681257134,23.98626019032633,24.7675719305895,28.045120905854493,30.922103902133085,34.14660904127846,37.36734452446999,41.68860088419861,42.27904149222073,42.69061462697116,39.68568640529821,35.500958046751755,34.54542387769932,30.429539205928386,29.678780668734593,28.617412202776723,28.193047688562256,28.893332345997607,30.49252395330096,34.24863453425817,33.88312303152886,33.12563818216421,33.40508557256675,35.498577895538006,36.745921242025595,42.92423321965819,40.81544513264005,39.49961456986771,43.926592407470835,44.60629901408021,46.77305975467426,47.01070726472825,50.86175594243514,49.3799075454531,45.97395708675119,50.376615883287066,51.74711589422487,51.05839653359256,51.83475470830386,46.956107782505335,51.09395211644249,53.47911776881782,49.48055516874028,47.19191049594335,51.54092462648569,52.69789698786005,47.35519297748729,46.88317428870412,43.88562569840853,45.606004349802355,44.69924204485928,40.99749990565783,37.05302988265342,33.450304938576885,30.386402463551445,26.883765068582075,26.111155772636184,26.94890963556056,28.853252478075856,33.44165086967724,32.73887149258169,38.73252523372632,39.161748389174505,40.996416001042206,41.4125559790031,44.036137795097254,42.67782655809531,43.79510207193775,41.68154922808785,43.967266828314976,41.28140760804103,38.48249492264176,39.293999351641304,38.57545832970101,37.35638274722582,38.26440480652894,35.1562129042602,36.24756687586477,32.37801238950858,30.175905710648998,26.105736720573226,24.425041942058616,20.855095355224375,24.955665163341482,23.40211096439834,25.066778497395344,28.744006644460324,30.143717250164872,32.6330658962451,33.061806018009655,38.09191472588206,34.71664917820434,38.26564853597776,38.816313455829174,35.37917720875455,33.40288298413819,29.32453710703229,28.701149801148993,24.04033351099333,25.484604770685436,23.074689913522658,24.787595583219854,26.26417104585197,28.3386684271177,29.838137647250942,26.466576713561516,24.07621540355313,21.488800338920456,22.47823540019691,21.510976686805847,20.183962959540292,25.14068618214601,25.372448178996738,29.058798591543844,32.243804749535904,35.749591001903916,37.545812033481,41.464089670488086,42.100919026721414,41.14863772624267,38.3568879591899,33.92106305600877,34.08806208324868,31.592888529749313,29.71686214500205,31.000015212919642,32.51181325107419,36.23880998791953,33.684286631498246,31.95567224860648,34.24507368534042,31.105705078597257,29.11968210260212,27.251650271852558,27.578163782479354,23.69696750808409,25.51758306358629,21.81939258470447,25.432489375047236,22.10923817895756,22.58860140142856,25.18649660270984,24.311964353279826,27.397016905487508,27.669466672981663,30.698999060694472,31.96960142600468,32.95773969041758,33.773664425799694,37.356663098172874,39.451667009691825,38.751181447196934,41.5600649841195,43.88485173880806,41.867815521858184,38.03552291963511,38.04102336503338,35.24005336269053,37.3589617740927,37.59564035613219,36.910341588543744,36.75690632812141,33.502435267277725,38.412866592484015,39.63860737225162,41.1728545201328,41.95801353661189,38.18483094732742,43.526140619264105,46.42469508887265,43.753547616845445,45.37950922908574,43.07361098443012,48.09151830714061,47.830328006521086,49.18912485919031,50.13800228133531,46.906067974182264,47.14518057003539,45.13935623421029,45.90290518423346,46.677642620122654,42.117323500964034,43.216996380845906,40.99560308342514,38.50031503834898,41.00359105460457,38.02562329995305,34.875054761222074,37.14442810670028,38.38346444844233,33.56996238288185,32.85283372647625,36.276798742892616,35.61713860485436,30.502514870657095,32.5444042434441,34.36883675176708,30.17831345562302,28.733002506329004,33.20806592316442,34.307466166485504,38.03907823070874,40.67056799069192,40.20825718143544,42.21861141786956,47.16878696316895,48.68724509874282,52.215071938240264,52.61672735367905,50.61635918830084,52.193205702985,49.16656302653844,53.86090375254733,53.69380303982667,47.94180121885265,50.144821095946355,54.52443494753861,51.1732059361519,48.60205155768099,51.72975372577992,52.969769754189336,48.90671168921644,47.222822876433035,43.882474833591694,44.26143848070729,46.77838522967896,45.2075937669807,45.72357850295709,47.03302409594617,43.578319014155824,41.56291743983625,42.71386804912276,41.21222243780323,37.13855189648477,37.475710778902865,37.676970370159204,34.69753585073823,33.63580387897,38.18525579671259,36.799335412717326,32.287232437728996,35.91291375885096,39.67923514643067,40.22213463780374,42.94102236014402,42.267012282757584,46.600212326146284,45.4565591823621,40.750285806941996,44.68457743903373,46.82901864529454,43.99753956223909,43.14951331078328,49.0916954286651,48.50186809661169,43.76668391478086,46.19024975901113,51.002883951559014,49.28347687447522,45.810676730128925,41.2555483884015,45.53305091713246,41.46157792120699,41.21301241265465,36.18471832247903,35.221378817977026,30.390198738126493,31.580800450300114,33.66509230152864,37.318427074704644,37.55740412295319,37.87091342184383,33.36691746155398,35.264685085796515,30.559701078862453,29.247214938645246,30.614542235449143,31.646463690595805,28.791131499410927,26.488715231835144,27.618280176257528,26.468680196491857,22.50035952014608,22.421139242979226,25.433077453078,25.0131308299514,26.586464451168094,28.036720156591272,28.771084823747195],[27.875222333022684,28.85957253261411,30.679735774207074,28.02388565022795,30.225332532074773,24.21003528899747,23.35281236890754,22.69078709725975,18.215179852608873,19.023479111113723,16.801365243961996,17.87459838239448,21.779223131395288,18.973700712026886,19.99550612350177,23.069363046082106,24.968097955638008,27.490173241069634,30.689974427420857,33.83822861668256,36.984250670921725,41.236307640136694,42.13837598683274,43.11092351825906,40.25420345992049,36.073228518256116,35.27096183050595,31.213999737015428,29.64288119062964,28.20728472908429,26.26748580998826,27.32768647413509,27.897127041747105,31.484643173988747,32.016348703466996,31.89116969171816,32.58004317457963,35.35090786913331,37.233541711049696,43.366552033378085,41.75317773809545,39.643928099433964,43.873999905165626,45.15240191530834,47.348906566576844,48.12014622738721,51.80170295508515,50.1029006982815,47.294003591202326,51.93747705998938,52.70883130466437,52.05233332515058,52.22009334394408,47.35749934579804,50.995892810363785,53.15976938812344,49.283586727915846,46.5299945081297,50.53799999035144,52.01335142301493,46.52730155122608,45.31076718261616,41.94545291952883,43.77449592083885,43.493526833259665,39.85034492401073,35.83522505253677,32.04841945371486,29.31648802490379,25.354354325208305,24.9955054055922,25.207261778565517,26.559610952486363,31.42351908002105,30.456733428929564,35.86043266616958,37.05498289418103,38.29774362854011,39.37173346668793,42.554324678160874,41.36473081555437,43.25641645870846,41.20326130250091,44.15944649502944,41.79867348260534,38.42331005872882,38.769284975676605,37.3797022875548,35.9795431506696,35.82921894935775,32.64995990494889,32.98511445860959,29.07691217307256,26.84212465794078,23.457057264013155,20.931699977120342,18.261306689970596,22.48018836712832,21.64913048268323,23.210958236276575,27.318397298934602,29.693837550462884,32.214582200166895,33.63751107196956,39.178325013271376,36.489958369020854,40.26988760897163,41.469386932543074,38.47217192629142,35.85628761841997,32.33513636805847,31.312943819350043,26.70922300527752,28.284334249197972,25.170270527807574,27.34369809797605,27.92947042318082,30.525838693698617,30.812852898810696,26.988349222581434,25.271322340446478,23.13422863650187,25.40820324351145,24.743198835154573,23.731471466511504,28.80928652732042,29.283238306205952,32.55463727629742,35.697741977506595,38.5187688764634,41.14252506388708,44.70086410174462,45.26745132248481,43.63054775351932,41.45071095802684,37.06444574492575,38.16692381585193,35.359084909471136,33.4922096612808,34.046852471306636,35.612951184711875,38.71943518042808,35.55373263086815,34.04864345507731,35.771370339438015,32.15127790139428,30.775128361676366,28.594315715801486,29.156087832520015,25.354805914476266,27.164233556118358,22.829075606047727,25.833886974899986,21.95950521981277,21.547655381802496,24.56822874386934,24.16924576369958,27.931726540178044,27.931429522896586,32.02329799384756,33.80175562255943,33.9506723153997,35.75595824313678,38.72895772650742,41.610319816271364,41.710914170744616,44.64442657443741,47.368450640319516,45.747225067359594,41.830754801189016,41.550537619027416,38.35257797317201,39.70726100922067,39.333307182560944,37.99742738257081,37.45249369139509,33.66150317682321,38.16292317375984,39.97810803768046,41.76932792285976,43.24674165182575,39.90558275820205,45.50013338888107,48.5602580293282,45.99690182574951,47.014066660557255,44.38790512237969,49.3795584605542,49.70604675530862,51.33975151258704,52.72436075503936,49.429948171773304,50.18786206300788,48.4006497594402,49.29661857983407,50.368090824202916,46.05492716951058,47.107225235169736,45.24683826918824,42.28824696237861,44.9939404574253,41.60696607409925,38.7328637554116,41.62765742622611,42.574662822088634,37.740375576008766,37.85941617620051,41.13181771555999,39.862712746100236,35.33659833967255,37.76082011812737,39.30899770653232,34.91532178097809,34.15194128542556,38.731784714263625,39.97160373207636,43.27490262423145,46.409698741278625,45.51944579578743,47.2990142445806,52.14455913261696,53.39357464995033,56.88084524704674,56.8743506217486,54.75943158071729,55.96896084417989,52.67325833886726,57.440906260794875,57.72419938336403,52.089359671712046,53.89081539452745,58.589628240087876,55.59805079354273,52.81039544105281,55.73687578214656,57.540000382511096,53.67322382108224,51.51338766100349,48.27439973289663,47.839771493144696,50.25792796725185,48.68553183456159,48.59728007519411,49.693692844568616,45.907642457240364,44.544354083565025,45.735912098189566,43.62196030190466,39.812045803487784,40.836167229833585,40.654277197529666,37.56982989941432,37.252705294814156,41.72912591705855,40.04448343227247,35.93281670414637,40.01942984844533,43.595268388564854,44.43274906519253,46.82489926427739,45.9824001417809,50.422799930848626,49.72328934663876,45.212109597885856,48.90373313096563,51.43006047933143,48.85944665551008,47.90023765730089,53.80970295072448,53.67539047928702,49.05749640570544,51.195630718678174,56.1493161723894,54.81220894313112,51.41641074474634,46.99699545613401,51.520810998187955,47.64804432400762,47.29605120600199,42.29842424844491,40.908923965353225,36.072790961937834,37.70348616077256,39.54969344050761,43.24649243065477,43.1299807398286,43.05673464094002,38.244100322568755,39.54981535469734,34.7912555674292,33.59566844194174,33.99147933002665,34.92849013540909,31.407588806555122,30.047560776724676,31.59323294445155,29.71846486211848,25.699378005031832,26.92300128959225,29.721081943262686,28.663003201726973,30.235260661139982,31.811084686432068,32.726337102019535],[27.607757878543435,28.30400209020464,30.220906952635378,26.652620065741775,29.21616808244273,24.04370496363601,23.20214418771078,23.686140821299013,18.99315149865074,19.075856824484628,17.549304356364438,19.904314489874714,22.496142915025054,18.720423927950147,20.758506458804924,24.045757302656355,24.802040402335408,27.28789858695956,29.617792729372955,33.282429514690364,36.066804777692326,40.54562144267879,40.95896943706775,41.45202967186881,38.84354836002095,34.54081764903761,34.19246035228812,30.32079696384887,29.569664294427884,28.969060827409304,27.39899048178818,29.15278315202461,30.332927117377196,33.549702615222806,33.627572243342456,32.71629604996237,33.77679106361842,35.51917565240991,37.0008801817054,43.33040929455354,40.93273671960267,39.01085820833785,43.40688083738269,44.1827425965195,46.00079602673906,46.35789033444335,50.17676737745618,48.94940958794828,45.87057915654239,50.510737282519585,51.81415131549765,51.448034652564694,51.89576965510481,47.13426423623296,51.24647939888393,53.151248216279804,48.981766794836396,46.80521463215853,50.95107706575671,51.84137929738326,46.32328270685081,45.54060112564899,42.51663357219222,43.755205854249944,43.16283522162754,39.812937501591804,35.30142190432471,31.953715788221892,28.440108549589258,25.004523905138107,23.896294588752504,23.993619429719082,26.288144277282424,30.95347907180123,30.845116417209983,36.63417206628955,37.69709637674328,39.60450540261526,40.482744631529116,43.347685133501415,42.56046252608044,44.070019943293225,42.48821698797616,44.97572610217736,42.12834560544483,39.11524240001823,39.26924871498638,38.7179794155702,36.74058666003435,37.46684039797112,33.92503912449758,34.399924913935976,30.707995184953496,28.984186478109176,25.312247840835326,23.208965714534035,20.08016345020738,25.062343544782316,24.320494197618526,26.74890707476675,29.946842946406527,32.3413546001856,34.229904710588215,35.50652639037304,40.51111957754738,37.57608958450915,41.46943425202142,42.14191872683017,39.02796027858878,36.88227258409231,32.93621984817677,31.6059753946148,26.894598480057557,27.724980437110634,24.472970437691178,25.86005908112984,26.550050246302764,28.41472699404771,28.86105607047526,25.73373372827455,23.406992236771377,21.51084574157653,23.04719597737041,22.90429155061785,22.478273693120244,27.588171126059034,28.819163170291358,32.10555096963922,35.54459727137344,38.736342277467976,40.794757318342825,44.72007013211009,44.92116749231149,43.864538224525184,40.941059793944035,36.4200312095017,36.97861393091207,33.87163624872736,31.5182676791699,32.3938790988512,33.18452068993576,36.47871722229736,33.76321337024957,32.55736177809909,34.748992656076844,31.696180292703115,30.084825293461982,28.63907333921262,29.618332963886697,26.113456597023323,28.56906545457919,24.89893808786824,28.663550123251774,25.55081700932076,25.16320875006352,27.58458955800259,26.394103308429973,29.90747024377398,29.416215845581124,33.05818031917148,33.88365758281994,34.09952514564974,34.938253986979745,38.36421194766645,40.8314661102774,40.13501241394382,43.38601818323932,45.63911592663073,44.05747732664331,40.047992863074505,40.24354698993623,37.160079206063045,39.172553190720436,39.30340445513521,38.44029974843822,38.519368449791656,34.840717449140215,39.82826632591766,40.91690162565388,42.83318770173234,43.55404747756253,40.41955589833637,45.73868917072388,48.525213648141545,45.68145390349578,46.66515239020082,43.91744982522456,48.86687735302661,48.45427936986564,50.32594112096084,51.54704484124332,48.53298759630307,49.21103125179714,47.53435763333366,48.606425704554496,49.737984040280644,45.36082853482418,46.79218494219956,44.89452662530395,42.4382085309785,45.310082680318956,42.38495246171815,39.119854647186415,41.603248815624426,43.08190176388476,38.293792903184595,37.46417209831498,41.12950812991699,40.65764953252489,35.524520314773575,37.593440905795774,39.58886845907098,35.4520508646119,33.912463110199994,38.41852262618434,39.34620857572948,43.29457774619823,45.577752890485215,45.182634356990654,47.356290822232296,52.236011307605644,53.91038798017384,57.266330298756436,57.65518246581071,55.50458465147083,56.96084703196883,53.75777869186177,58.37115007115703,58.35296383460906,52.47141496803984,54.48099710271927,58.87526495635981,55.53925698840695,52.79178245910956,55.69773383300142,57.06220451079078,53.057171992654766,50.975009649331696,47.99138207512478,48.1705972290152,50.8612063225357,49.592266603544,49.99720328920499,51.502964292698195,47.81473957980907,45.892353722822556,47.391635975093465,45.76904362129831,41.603397832869895,42.23375782403618,42.57908885353425,39.612045558105166,38.65692715570826,43.30698285508752,41.98108347845613,37.54258865584042,41.20395840246711,44.98242005803792,45.45154875997602,48.06383325344099,47.19533677928701,51.52874314311661,50.562688804688094,45.730566500522784,49.49020906340868,51.74558316023941,48.93113209070729,47.81491628508491,53.78752970917116,53.28943836990646,48.402989954927925,50.611515192307614,55.53942534477986,53.852671129114334,50.2680850990055,45.69416140867431,49.897225188214016,45.74370697894763,45.86423538572557,40.723571805333634,39.91037462986608,35.123398637383524,35.992011687067894,37.9466902583993,41.46623683843648,41.60725662250392,42.17076781378725,37.44188081763073,39.20696616013243,34.293241139024374,33.54641228522318,34.86213706368356,36.19127213572707,33.091049745440884,30.842625073457768,32.45201520767227,31.33885518970328,27.016437785892585,27.348718894576887,30.610924640880786,30.264256715555078,31.872678215590152,33.30224224371796,33.96322257721399],[32.1292484828071,32.87315864916424,34.7005695257535,31.159951998953034,33.44765016586123,28.240516853445623,27.07566598315813,27.193929319372593,22.40314707122507,22.015015551648002,19.905682484180158,22.026329070801644,24.664488231017568,20.833162098872002,21.921691350884977,25.321455234930617,26.413256524295907,28.205298787451383,30.296286618360547,34.114649827917155,36.59408044380061,41.08525051268929,41.49396364903671,42.20386487006375,39.89214122574265,35.58194007797188,35.60635777387406,31.934430277851288,30.93648912720092,30.43871913545596,27.821424249047237,30.1816665985056,30.769003311871508,33.599075331379495,34.23048717763047,33.48060707723626,35.04016261759895,36.82237338338675,38.60381961038015,44.92890263615427,42.56960878047273,40.113148725447004,44.386434149287886,45.39504207636719,47.019984158479886,47.59915142509336,51.31970825914586,50.17543177795658,47.470175450050135,52.26843732708709,53.35052738507173,53.155663753251844,53.24889310332184,48.58261850078514,52.491376948853805,54.07156027167107,49.880569772444666,47.623998790521284,51.519749356794684,52.37106913969515,46.74810146714198,45.54420366115664,42.400688242532304,43.38664989899053,43.202256727553085,40.104831030575134,35.29821908905143,32.086573740129495,28.484664874685276,25.01065213275068,23.867925827146372,23.23612124236637,25.545921359905115,30.27394404701085,30.44676597124315,35.80667333565687,37.517112674754934,39.22540212188264,40.590813057960496,43.75514123492965,43.32414604793157,45.27711407129629,43.97131074579923,46.754627461135044,43.96301970076962,40.69287159753558,40.38211142473617,39.68603633782557,37.29389716203494,37.53427456419722,33.78001556601626,33.603247006547775,30.06044345462029,28.630920959687028,25.522226768404774,22.928141545624648,20.494260474809497,25.78653566899311,25.670195956469062,28.28540200025266,31.40877013860994,34.46960925519586,36.13632073145669,38.03791222528659,43.16714003458369,40.61579803481172,44.67174036214188,45.579514815129876,42.699093540200046,40.32158048716449,36.591155100754825,34.94961259642867,30.276778192178508,30.941835331409543,27.236243352188342,28.60130129755092,28.68527926532426,30.564914062433928,30.113036865120513,27.046970668101217,25.021722663907667,23.649033544274218,25.74133291659518,26.011511540790107,25.983574947973256,31.110897181229646,32.69582143961969,35.740077437287866,39.22816819287801,42.113706212364484,44.48349226289751,48.29903378865924,48.331330088708256,47.043435834911946,44.26262965480149,39.74981331127491,40.69078453716167,37.3056996823676,34.794230872608935,35.30710701007798,35.78663753210318,38.66977731929249,35.73892655999989,34.86019289423327,36.81335359056447,33.69512352598452,32.45398488839791,31.10626571366858,32.386369131008024,29.073152804383295,31.68739080153378,27.858643644756523,31.417515633182283,28.175431241275355,27.291771165094005,29.77779565332272,28.67089470991748,32.49860012112277,31.66645168648718,35.823887102737714,36.63907980144334,36.289249902466516,37.42819411502048,40.57052975705193,43.41160372895963,42.94811746713257,46.39756606814024,48.713811860595435,47.4227337066108,43.34373668718694,43.53926316460399,40.25857233833614,41.998707585764606,41.905205842880335,40.77659734450312,40.821212065012425,36.83490142219038,41.66792033230844,42.88890747799746,45.03044657441268,45.94250688610586,43.21108876762242,48.57069211446131,51.34940286387678,48.48297026035311,49.01004378809298,45.986740079930044,50.861404412125346,50.556234377581966,52.735674906969834,54.19744147609563,51.27662019055902,52.280984550862065,50.80262385214479,52.02407597309471,53.362411983378244,49.12643060968546,50.64934359561517,48.947012313901496,46.3796752857962,49.39953460728264,46.37156524452452,43.160596647588825,45.85880530876404,47.30759549174943,42.51433460913634,41.8760849120135,45.5481249659963,44.937986856883505,39.94653152780311,42.105818983189785,44.04450554150996,39.84688387068527,38.45177906680735,42.97283829489439,43.937360801879315,47.8077198774838,50.18052219119052,49.71935486970038,51.85655204395598,56.71703758919433,58.3299106660866,61.67584856321882,61.95700999591178,59.754757718352515,61.08654609851979,57.76991026892412,62.38778324204805,62.53159115052667,56.65554909546694,58.506779605068026,62.993956714296274,59.759175035324795,56.90882204557934,59.69708577422057,61.24360523353282,57.3054022175917,54.987237744935975,52.13608374213971,52.03836382346883,54.74611414933497,53.552240235477775,53.74654548865022,55.22372290864512,51.38119737109908,49.690912757904414,51.266763110317264,49.42065096898332,45.33072274434546,46.22555230197795,46.460360029791325,43.45486142407053,42.74823933475587,47.382657148012804,45.94752067314188,41.62777630466157,45.43890716369061,49.162883498131684,49.73130743829382,52.25293731551088,51.32016149452378,55.689315771135924,54.86554703926071,50.07128974651443,53.74580465838685,56.1205710040184,53.37002072219112,52.1828804216796,58.15704513197116,57.780011038579495,52.88828067300778,54.987097158998004,59.97376094888537,58.37248918175991,54.7768603311775,50.22278339054537,54.44497575238094,50.29788802344465,50.47868692316752,45.323719049297644,44.47572683542064,39.69100939025463,40.57117329557062,42.46471160279605,45.95702421407448,46.01021066945737,46.55757230120442,41.70520500982581,43.286975505378614,38.31267831836213,37.7326517289103,38.769445461033264,40.12565884742334,36.77862073573337,34.82583368627098,36.62552487388365,35.29630697200877,30.919120090442064,31.66250176171988,34.88199426874603,34.32534342412055,35.91828918842827,37.36655532986379,38.03602661976001],[33.28078180478949,34.53189515345118,36.84090782182111,33.73360903058289,36.4535263974987,30.832416898895072,30.09677253608221,29.90422868130954,25.296615981742224,25.58632461025161,23.375845881760323,24.889663231905857,28.259521645781305,24.83112740218331,25.663587432232617,28.97147440984585,30.52952025094456,32.39957555455034,34.78235194126894,38.45165123332051,41.033931948526885,45.4609043935463,46.010440702094456,46.858520981309304,44.49587712126011,40.21025665280052,40.098632229689585,36.33768239357239,35.06796397096148,34.191408518998884,31.420229836535647,33.413703909042404,33.63050040686819,36.651943971437156,37.593764856384574,37.25122959531329,38.60947744546926,40.877526917204364,42.79611618699342,49.05817501596604,46.97496717942571,44.487697985703996,48.709745988634516,49.881738963527376,51.61663745593474,52.290745410365716,55.98495591346821,54.72003132698754,52.05954778548259,56.850212429085076,57.80642568505432,57.49413287508557,57.51972754426934,52.8033258702113,56.535874743228554,58.22905326577809,54.148355947911185,51.65863650784666,55.482912225369795,56.56699095309059,50.9455094667038,49.50933703200343,46.20038370038245,47.37221131500806,47.388296227872615,44.22146478477531,39.5458862210519,36.19902726322346,32.848396874283786,29.192568313231597,28.28202088242584,27.525138491466286,29.545186477307542,34.34935216274908,34.2706343015226,39.33699383960856,41.27411150941446,42.61826346527257,44.17546052841713,47.53109057937673,46.92156313960011,49.060295245975695,47.48118709881342,50.46688090266428,47.89549251066582,44.49116487655738,44.31088258952056,43.20516845762525,41.09214041924964,40.83566067444519,37.24073859371122,36.831727463994696,33.22022870350189,31.570366744882385,28.716994807410938,25.80536438220547,23.713149136689093,28.55929917327637,28.326373673860054,30.22360131329543,34.074233834566606,36.92122990668365,39.115095275659975,40.87923796039217,46.308058711964435,43.69062817664804,47.56813827828769,48.63020450131018,45.60018232699369,43.131338542940426,39.46062067476634,38.25469610180488,33.585948835507246,34.70074981860177,31.24671320007514,32.88410318595609,33.12594782469919,35.18586330078155,34.81794087387976,31.567401126155428,29.65544244273171,28.119137692461408,30.222797136454552,30.207259534412486,29.776586574290306,34.915588239099236,35.90500134289519,39.1847725266031,42.50433166253478,45.459844884466726,47.86438317914069,51.604922246444396,51.94133511040731,50.52712268543564,47.991339277334916,43.5128880980361,44.3745494057818,41.278370442270315,38.975909704317665,39.598220170659644,40.35529798838713,43.329631807466555,40.34684600470781,39.31834572392424,41.1995689590242,37.88910954978505,36.633712836391005,34.95652372186325,35.92708179773856,32.34291712896042,34.474608197708534,30.269611098650657,33.3389404190353,29.381709020968174,28.899450865990797,31.902744760148366,31.36678055301916,35.225789463705176,34.856806166365416,39.071226910823405,40.38564385229052,40.20238220284093,41.63640837783123,44.705216231748615,47.595424442160876,47.286157016536166,50.56919622209524,52.98580740479017,51.51957049146043,47.496681617945434,47.56575205458427,44.34958939193267,45.99280624038183,45.78157337558474,44.524600442786465,44.2576324918657,40.29187600443597,44.8897865579254,46.49338290333013,48.510859466839754,49.75163845811753,46.752448600250254,52.24305186353837,55.158529922260456,52.417310095769345,53.12141146818905,50.208478869499686,55.124892673162556,55.037560443524455,57.07316571264957,58.51000273538995,55.4582965604732,56.34686895894456,54.71734637279965,55.77984977816122,56.94027927425539,52.59942241977553,53.863349071087285,51.943489612110625,49.23236447112377,51.93459221122241,48.71591490086601,45.70907874438908,48.321551664751865,49.41171006957103,44.571050479752394,44.21605652976798,47.559433772279505,46.524586603579934,41.694874876872774,43.81743952118766,45.39676472031604,41.06504413857089,39.883332489338365,44.23805634503402,45.565214169820976,49.01076776432682,52.00600830966792,51.53441993943297,53.36754304900177,58.36215820905883,59.60681920473732,63.32089196129939,63.54207560123694,61.571597483425386,62.97456927377398,59.81100909908353,64.57231321750206,64.66098848376615,58.98036951353999,60.95759138523866,65.52090548121072,62.33922503364307,59.6356192848938,62.60777755578601,64.13311107778043,60.14988257984418,58.13719015461571,54.96732505584503,54.88054051221894,57.38925613813104,55.84650139138579,55.93175811035157,57.038209922126754,53.3336127320099,51.84385650091808,52.95147951990884,50.945016872770196,47.13951498271686,47.94156769799116,47.7199987431362,44.61758634941698,44.12402136450917,48.511484180194245,46.73102931969522,42.46391562479502,46.412677009018736,50.003215203149246,50.903595679440635,53.542865280618884,52.91611582225997,57.32933019334095,56.32480168270046,51.81732521045098,55.71056304487262,57.99631783035449,55.252067087648214,54.44191085445407,60.37315666147649,59.89013606537332,55.20140924631798,57.56014560880781,62.41604840333425,60.74046749739944,57.26685935042873,52.70494076488087,56.92313470021837,52.77481829640862,52.54804324102186,47.54959222143752,46.669445579730706,41.833928927278556,42.95385999002468,45.07252897893788,48.68062730939095,48.90279924137673,49.24966320781362,44.59016472441177,46.22859051833155,41.39830043831427,40.317717696291965,41.142649753947936,42.10169682811385,38.749449287853,37.12152045052715,38.45470124098055,36.74615468374535,32.84896981160333,33.49896319202188,36.219687899171134,35.13489069304572,36.54606509331766,37.940991044002175,38.58304255866815],[29.231236367893143,30.589566895526332,33.18455900417839,30.066600240453496,33.24255512885657,27.714787214399834,27.431681302910256,27.64298465907338,23.185518599163743,23.962016654845275,22.30644437855249,24.030294096436727,27.349572278013216,23.930868906625236,25.604506435414898,28.844730350661248,30.048877009245697,32.491170072848355,34.976233910926055,38.59073215148195,41.38465115300709,45.839265352290674,46.328393311039655,46.9281145547049,44.3543520972835,40.05583244877422,39.69199746896386,35.784521195192184,34.80389100747236,33.89987380872493,32.02301732646297,33.55446284639069,34.30615979773628,37.656342845937445,38.10733081126263,37.57390288793791,38.531726951388166,40.695502688089945,42.31774456553458,48.601751046588596,46.40416182042875,44.40049966075334,48.75029578406394,49.66230592931046,51.511747158399075,51.93445617862847,55.73273963176922,54.46540284069193,51.442107090882494,56.087223512801394,57.31092698319786,56.87927405363758,57.25456321826036,52.46468336429894,56.42380333272726,58.37892994115884,54.28162054432174,51.918798404071914,55.97787650687702,57.03611216150408,51.489641681830854,50.45247168387116,47.266991186302164,48.58422464854142,48.229789963446954,44.879324418784265,40.37012571661215,36.95092289695,33.55895832487872,29.973625017990862,28.99014093309368,28.754255214204072,30.913771951664984,35.685253480922775,35.487468999370506,40.97033937140063,42.38000424272055,43.95575418871121,45.09724011572098,48.18299313278878,47.298101490389456,49.02363039039012,47.22427227562083,49.91395535360038,47.256801149221246,44.11097001437633,44.32579914026273,43.40357781476384,41.59980587114806,41.818643871877136,38.35487659203085,38.48603460136653,34.74551939888307,32.87880306533425,29.520873497391484,27.003224592774778,24.299331642021787,28.96008204498865,28.176961735932124,29.882417852715854,33.846127748263456,36.05789441938692,38.47925522622599,39.62971592195931,44.927707539192305,41.90971483661811,45.60126465575335,46.39592095798422,43.09720672251936,40.90466072894863,36.99635102644599,36.152369136147,31.46323056649636,32.71628749957362,29.713395209809825,31.290638044544067,32.07967935875331,34.02479542137295,34.42988996822444,31.223617698720815,28.99455982346656,27.065946664139048,28.5846328453262,28.257604586530075,27.491783985563654,32.56420004447653,33.185870192882234,36.73164898027724,39.98821112019135,43.293093676629205,45.312135322732274,49.18439691070276,49.690638913378244,48.56327714826404,45.83799991197089,41.35909682571537,41.750777836679624,38.948765277799964,36.765889912483374,37.783291256833735,38.71816437054259,42.083090075944455,39.36518095733874,38.09001588572089,40.23370524358031,37.044447532605,35.438998936661285,33.73102981714894,34.4316359608635,30.67373546671115,32.62338570857142,28.563430055022096,31.79155064300955,27.845005136421342,27.942715954917166,30.945991554557633,30.363822723157135,33.91518030536351,33.8863599250792,37.5849063283976,38.87278381738689,39.23017553230991,40.30401293572773,43.6713475459001,46.165980073823214,45.54341932191009,48.65652899202365,50.941040285174125,49.18463678121744,45.241135166544844,45.36825445018478,42.38046930103718,44.350844860959896,44.39828842411809,43.42860459010586,43.22420209809321,39.55521662367439,44.31697244925869,45.76704763707325,47.57586283436747,48.591287898409476,45.21080674576328,50.636592914926894,53.53701594145455,50.8027608280142,51.9473901245074,49.283149848565564,54.25797994238902,53.98628569529381,55.760152807581065,56.943065984242146,53.84018406410798,54.38951240091331,52.56857376385337,53.482863565898676,54.41219078850928,49.91733797535639,51.08827205221989,48.921863173444535,46.37574104583102,48.863946379538376,45.778284061626074,42.72261891425036,45.017546533163596,46.116969555294276,41.288025760925905,40.66765604009565,43.95401619007762,43.062764429109556,38.04776316233978,39.99152237710154,41.57902233579436,37.31464672087437,35.91901020528465,40.16833809513759,41.53066042778377,45.02198102243288,47.97121104334305,47.666415993729444,49.50534591413029,54.5659552708811,55.82855523042806,59.647000835111065,60.03472483170968,58.18381472410347,59.77617073471334,56.79161867741937,61.55474882508338,61.41185748605631,55.749645964151696,57.952652480686375,62.38242811993385,59.05905321953884,56.51208583607984,59.639367389011426,60.894323171935454,56.81815473269149,55.14068803757835,51.81091714452117,52.10528804630001,54.58430380847727,52.926796123465856,53.271022671286936,54.369083779208815,50.873891940364985,49.12417348120389,50.069384089314646,48.31886068926181,44.466813484554386,44.91399029292008,44.747241832361325,41.671067660012866,40.89153578932222,45.23969146250909,43.51598144739137,39.084269458985254,42.854003163401615,46.49149090836077,47.336971388804216,50.14769199963297,49.68049388375841,54.04809951549055,52.794206523636205,48.288568637053395,52.34323257167781,54.42661930571581,51.57841161148977,50.93287510674162,56.847927969300734,56.13865120066668,51.47892905121225,54.03557991737789,58.77387042876293,56.922604957879614,53.47032729007783,48.870506488166846,52.98294066713368,48.78142942409252,48.457476310013114,43.517236493477114,42.787506366879654,37.96530051009216,38.99512758107482,41.26513011429417,44.881420706678384,45.2987522862155,45.722762989877026,41.28558621138623,43.191438197829385,38.46262398012294,37.15198308816208,38.329536191851254,39.20086544468232,36.15985557679825,34.21530421133195,35.21340746125175,33.71640886236793,29.99793698590718,30.068233110734944,32.71214290296711,31.762556410912993,33.128099715075194,34.457019209161665,35.02626671172372],[25.697900771112,27.29686171240239,30.05594670157924,27.475128403530007,30.81019284083243,24.91649897599348,25.047672396045563,25.020308460382658,20.908785071478295,22.508350266848343,21.07731706231761,22.317657223273727,26.153035016629147,23.30162552245018,25.196498460197553,28.19690421293502,29.640615652176276,32.57426965350198,35.58320557706616,38.83956959886449,41.996600539217795,46.32260834379865,47.03080407131512,47.68343340856425,44.79243691922375,40.57434335977253,39.73743687639258,35.62912660366824,34.47719048197411,33.125904998351665,31.880252108482956,32.62715867451444,33.52812263832229,37.30013990196992,37.54917937275053,37.262717168722226,37.66057092655271,40.25340411986154,41.81715679633482,47.971252767531006,46.12118587849345,44.45056545198108,48.795902910914066,49.75675116317241,51.91558509213155,52.35644952262932,56.154793558452965,54.615106183554516,51.43947904602369,55.944118781587406,57.09039050038011,56.3897247563046,56.91224907192507,52.0210663945069,55.89831845658176,58.21991318027608,54.28978003237775,51.729968786704056,55.89816476041003,57.2537606543575,51.81733922451482,50.895742636494695,47.65285302181031,49.41217103061096,48.90634697765235,45.25457372480524,41.193378253901244,37.50480586979399,34.5256996436902,30.767505490858195,30.121776274666086,30.399463224931207,32.15999003474017,36.95830039349833,36.20714409163392,41.7918487958105,42.8013039624283,44.2119830354639,45.084271854517695,48.07912272084812,46.7425632106373,48.29626514815955,46.06163663787172,48.72300957409889,46.272708836221945,43.182675111409516,43.849089501055516,42.65015249298786,41.44150968804608,41.613192139085804,38.49220269630437,39.01554851065281,35.102159026078496,32.82335861021613,29.242168646937536,26.91922711888058,23.991688867786724,27.98312648729468,26.681123687326053,27.719343455239173,32.17050427978734,33.750558762002605,36.67884041314811,37.33360198857226,42.75322532542278,39.531406355723725,42.96894626953399,43.81125518340943,40.35548204865962,38.16361334581644,34.30045402550539,33.96114909600046,29.356433276754565,31.12724494619821,28.638902731926937,30.57133375843443,31.7841189504427,34.01937665966861,35.01397825600943,31.491562050152353,29.33337243241625,26.94771314338228,28.336679738694432,27.44343391034641,26.060203950114765,31.013208227032088,30.8771861108437,34.62978655285015,37.64676340724575,41.03700551758181,43.02536654063426,46.79017667103922,47.649019293324585,46.45060089185168,43.98899250544096,39.60671991309015,39.89670815759011,37.533491056257446,35.74630971881808,36.919628314572044,38.45584236358067,42.03853245914863,39.3050216976995,37.64995846091704,39.75019721563882,36.38214587670407,34.606263265391576,32.49373982525918,32.719161543373694,28.692751910827223,30.101602276039433,25.892160448442883,28.808586433837647,24.535800741833437,25.20012705002039,28.448832984556265,28.248683155172465,31.578825908227113,32.12316783175997,35.540223843977586,37.306414468881876,38.108921868384094,39.38169805511882,42.74114268511403,45.10278785526219,44.66396874699924,47.43487092115269,49.87371274214154,47.849453396210656,44.0392721426121,43.938785881479454,41.09656630511081,42.97352697049682,42.969340151454986,42.00324198897933,41.51905066955165,38.09227005400305,42.6938795838198,44.38464160009249,45.926297316865096,47.14830414774884,43.33639217121994,48.826738375522964,51.854147352373545,49.29500485340652,50.84031250427395,48.47645934757358,53.503749884612425,53.49421990719711,54.89665802939632,55.949807468930715,52.64814889924677,52.947975731292864,50.90307636805233,51.585293125667604,52.28040306831583,47.70221608014586,48.57344522170013,46.22488054094027,43.54009670691384,45.74456130564626,42.521615901330954,39.65297052161394,41.90470678770178,42.708506214115495,37.87476436663765,37.57510996794596,40.585286595924316,39.362653888793915,34.546662643910366,36.55129759085856,37.89240589954406,33.53904435642709,32.423006581177155,36.643220447512576,38.20469356219791,41.36208347728144,44.762346563720996,44.28655928286984,45.90671965183597,50.991945970491706,52.03420228511819,55.99551456994155,56.28848440757163,54.54988518587166,56.1539910896662,53.2683791344999,58.111323232628926,57.94861910354675,52.44737987492714,54.71489129802963,59.20006059317845,55.962629321554395,53.52394217305621,56.78709461117312,58.071157570706,54.00461470818481,52.55984019351084,48.955208425037796,49.22036988558457,51.5142368798452,49.593646185599574,49.88420884869747,50.74755095861594,47.39080222165654,45.72820933376481,46.362148270299706,44.569555786140356,40.88619256649131,41.23905068644794,40.831970685966915,37.724304790755866,37.04974230266379,41.26226071709529,39.39675054649733,35.01430536283938,38.86625381007958,42.428936342380155,43.427596713681105,46.24748876816615,45.922026028775406,50.30498735453131,49.0040889109965,44.68146143188542,48.820834587944844,50.89459652574344,48.10683740516635,47.678463095514395,53.53865308200767,52.86683022121769,48.38752586910072,51.053362978597605,55.7120119472847,53.93632622892319,50.6133386351676,46.08114648859666,50.31083068072894,46.24814133507403,45.569002808870664,40.7570585132635,39.78668041013664,34.949864403646245,36.373344327980206,38.68477565101508,42.41219537310537,42.82036725567403,42.92562379060282,38.62893685172307,40.49100352696869,35.95445337660814,34.19344317997393,35.16077158908969,35.73153695733641,32.75956087302304,31.028113550242935,31.68393333275696,29.959801628274704,26.602595232380807,26.63679281880595,28.94312061638585,27.72182029879049,29.03310475148239,30.402338012163078,31.07774528736546],[24.8739733516449,26.195700974995525,29.024769877554263,25.721263497931247,29.384295999103056,24.21278443660343,24.411633790136175,25.28289321435524,21.07833158308301,22.22212815277956,21.358177657836258,23.455033158558972,26.367878419354255,22.937822087865776,25.58912403906228,28.684045757413095,29.306963221221086,32.29030710645924,34.719108658646135,38.26923128838359,41.200187266421125,45.65170795082901,46.011342688011325,46.28245000636742,43.53932880586428,39.27561065704855,38.69982978545424,34.729203109420204,34.191283209854056,33.40613591462643,32.56309360283744,33.69999847231713,35.099125411451794,38.66135435584708,38.51666916450182,37.66263140770535,38.24807095435433,40.10076404287471,41.326062042083464,47.58735601539333,45.17920029621372,43.74027630118073,48.19734963693551,48.7557156622794,50.66278804153076,50.76433741026455,54.656134027197965,53.45224331375148,50.035506841377035,54.485593163711286,56.05320955489473,55.539237530923856,56.32090760470717,51.50761368258516,55.74664963787362,57.92309895011276,53.79723179397766,51.67519754278747,55.96876352650792,56.904045684556905,51.48163893438726,50.93941682552484,47.9677531611194,49.34555374994259,48.55610637295951,45.08750172156146,40.75427118864455,37.37065505337127,33.90927890479592,30.548342460625367,29.431351968289082,29.744512970784076,32.091186566543854,36.704619229353575,36.48927485145918,42.37937622340271,43.192354465897516,45.094259542726434,45.75297683972353,48.469301585601606,47.37135075203287,48.581874856814665,46.657442402154594,48.92872214532506,46.124971068055004,43.34607435812215,43.94046397162947,43.363041173049766,41.809644421345695,42.666465459107584,39.32960871397267,40.046395122411376,36.264750525122594,34.29333645056149,30.445548555777336,28.46710706122935,25.15913188373973,29.618698831749406,28.318048255054936,29.988965713252764,33.768831979236445,35.31010380413018,37.779641243938684,38.26362167598845,43.24919640925633,39.811460705752964,43.306964354547944,43.71467166050278,40.15795290957009,38.36389356400699,34.1725516480883,33.64167699367502,28.992671444154404,30.233800126279252,27.765701143185144,29.12376027200984,30.508023313616015,32.19388767537814,33.456354838286785,30.453690946034435,27.871257812026524,25.600299770468347,26.327103250382624,25.72465279061756,24.68980568105704,29.581753945963765,29.93642496115178,33.70849308409707,36.91874603388108,40.612725116233726,42.11781096386721,46.16213468746439,46.762078326570084,46.04061858818948,43.01036202276046,38.553524579786256,38.36514224112243,35.85203495300547,33.756722410380476,35.22848673645028,36.24548690316423,40.00960623611542,37.67007009142345,36.18529294780663,38.64031642074452,35.71389946057859,33.729246357361774,32.13761101241203,32.612292901368036,28.806921633408557,30.662186340212727,26.991416561089462,30.500268224833317,26.888312602857976,27.52528009203555,30.29352293625324,29.491055046441293,32.60183266409865,32.81629044737473,35.83113046784242,36.893204407731,37.822722551102714,38.34771708324385,42.05447878245464,44.03959544531971,42.97798169720645,45.9300036623658,47.99124083880657,45.95395099227042,42.11198384289199,42.368401838738485,39.66770475023539,42.061944314392896,42.46245186746845,41.88466734342306,41.86300664880856,38.57025249746246,43.5311511715662,44.66750389602057,46.266628292253024,46.899957497368945,43.201166081223,48.45816496053387,51.270449325444886,48.51581202941946,50.09996860412843,47.702139132866435,52.68615926564948,52.11780727120357,53.63662692447334,54.523682559736756,51.43067427507181,51.61615916303454,49.63106198465446,50.42002907180709,51.12651900751112,46.496110072835506,47.64361485543399,45.24915191777885,42.98290501882654,45.29785830954377,42.466747988480336,39.2908389717592,41.184751220221486,42.4227426986145,37.647897648960615,36.5595744197656,39.88090659043906,39.34143916207187,34.03278072902925,35.72848904644061,37.455306776677105,33.349484923951174,31.567819362635237,35.71431741870871,36.99159299328675,40.701958302929626,43.35440310283944,43.292528070703156,45.24751041891614,50.34323430359194,51.75753681276771,55.58060192973413,56.205247151673284,54.43233639014275,56.238366483445255,53.435442540687326,58.138793321460014,57.723218046844686,52.029810676050786,54.469284157643436,58.69173663614234,55.17599489418008,52.783573176568204,56.033656536018185,56.94706049861195,52.77308210932025,51.42226327233544,48.01400715825178,48.7933490406995,51.2963467669947,49.62258684132539,50.32567245542712,51.53189953025041,48.26520828207904,46.137143117508515,47.03240896111329,45.66299383196707,41.68466165771957,41.70978474201973,41.76781024918493,38.778867540542144,37.560635282614584,41.916292591761675,40.390445106711084,35.75403028243273,39.21423929597694,42.943144720477896,43.60142093912492,46.58799043274624,46.226027981565075,50.505092398557466,48.99244493216985,44.402965707950734,48.582274453048285,50.42580991462453,47.44176123702348,46.88246305724138,52.78035843540943,51.80747989826837,47.117354751678974,49.84205718272276,54.46505073295819,52.40320495684146,48.934703356463125,44.28558402951663,48.244210409669925,43.95973031214332,43.66099110646859,38.74259059045431,38.253365620495394,33.47527955394334,34.265223335581766,36.67131690003174,40.247549802432445,40.87905009325487,41.495140157085615,37.303046886494364,39.54386864719396,34.92190605840085,33.49887253591604,35.2184265597107,36.10839802636744,33.50196673660924,31.04719111343372,31.75018134176592,30.689094851905974,27.088960953857132,26.380182577503415,29.07755476193292,28.51226568806336,29.868176533154855,31.11152310840331,31.572565193540168],[21.17857153857057,23.248538168322757,26.732917866810748,24.464581313172538,28.684920063277943,23.077336704053895,24.20113969814674,24.741426453429177,21.30689561461595,23.72672516997161,23.18498542185065,24.445857731922597,28.097870317232527,25.546329925464196,28.290414597790843,31.027237829870746,32.04338141392873,35.54737792824377,38.59497574512298,41.68569815168211,45.017860932114935,49.28511201493779,49.91596586274913,50.27113144904249,47.18387726207042,43.0494137912529,41.915154540231505,37.73871511348559,36.948234644421724,35.54880170559323,35.37974243726284,35.503209292291814,36.929846828190655,40.99138252300706,40.72706174247485,40.2931623773819,40.15746105474017,42.63462310661147,43.804627708965036,49.83719842068965,47.92454564377609,46.895611429040144,51.305894285125916,51.94725876347424,54.2214470119483,54.34659529796927,58.21675441314112,56.68773774528572,53.10176337808063,57.342975734954244,58.806925023572965,57.94063839000602,58.900960935484015,53.98162511769868,58.05703398662764,60.698671279853876,56.8163940627151,54.416602617788705,58.798237013101186,60.138525271849375,54.86546990529766,54.38611045369705,51.310053061919064,53.2176351105444,52.33374235639304,48.531908343634186,44.74044828560678,41.051522941036175,38.118684105017316,34.54575563583341,33.84942516870396,34.59061553731704,36.44672854475189,41.100287594991826,40.24490618467865,46.10850512036496,46.57945220768205,48.16810020710211,48.594105444037794,51.25412999833894,49.58304199373292,50.628319153463906,48.09905735998187,50.359227904330176,47.89373781460823,45.18832512608129,46.365752529935854,45.34563134582144,44.584246082035015,45.21687283358256,42.334065522606906,43.37479879999753,39.41206730363037,36.94913055552254,33.00595630953927,31.14269125924583,27.792484004720713,31.28688527213975,29.369307723171605,29.91465690916144,34.477020772365094,35.064196388421415,38.342467051057355,38.06733395550383,43.219887057933626,39.46998686855773,42.469519356069114,42.92277250721019,39.070204808567,37.35696376052385,33.258531578989434,33.66850878597678,29.247709447748356,31.28524903529219,29.66531379523976,31.471713258187346,33.4102801871546,35.42322521048138,37.37443587860771,34.02770722496436,31.59025799501841,28.822036969961975,29.3340219141571,27.980588301187883,26.05696113988168,30.619838826911874,29.678027376439474,33.798037720735685,36.55129298680444,40.42131651774935,41.760374582232856,45.62674715200383,46.82977972731548,46.05754807378592,43.436498106733886,39.181394025187686,38.69886122384994,36.96375123393845,35.48296380835628,37.23423450563937,39.0307749076975,43.06971937384379,40.767031674523025,38.80783256935576,41.18757968445503,38.05312627105132,35.865865005895955,33.72408037964943,33.472847406142705,29.3120619485507,30.207986898762115,26.351560713552672,29.166674912575147,24.934570580831842,26.59690962744774,29.79230287012323,29.70553417552732,32.420603037974125,33.561165868682735,36.10853314254743,37.912037921469825,39.4918089311923,40.290344221772166,43.954368521746275,45.714964746269125,44.869555903917444,47.28908059382202,49.50575800538592,47.03688931518417,43.448674166201705,43.405592777880905,41.001398524134494,43.28646102169552,43.62674727335811,43.060979341293184,42.59896384783253,39.691068931558895,44.32278372366455,45.85688584952073,47.04453139944175,48.0064835601302,43.66551838723157,48.9719144975495,51.956807616885605,49.4888549761406,51.67606539154871,49.725739951382586,54.74856414790067,54.52968594175241,55.517830996159425,56.187132623941764,52.835119675314,52.60381659476027,50.26657800205854,50.6650202510269,50.935737389301046,46.16045653209695,46.778871046602944,43.99119672318502,41.57964126337717,43.262471037742124,40.25195783431407,37.444511709570044,39.06486051859317,39.721317267225686,34.98458155179319,34.340654949556594,37.04355022555359,35.911903659248445,30.92282771153168,32.53581675066975,33.69774089552331,29.478235546207735,28.078689383748404,31.94843514910557,33.73666856568781,36.739068937079,40.3123182781003,40.13437988759863,41.61289940563345,46.82989131353337,47.73996162455773,52.00760881866114,52.56033709031106,51.132282659291796,53.06965769119996,50.57382645728383,55.421407271657515,54.85517768721924,49.517848557609675,52.181293983714866,56.42633039045479,53.007989151194714,50.91132841932538,54.4559419866783,55.27651622755917,51.08473888831773,50.3208667738686,46.39015974582928,47.283385857130305,49.42150201491404,47.21112036088902,47.8850572750386,48.582556174191524,45.67649876426756,43.689617249637124,43.855998202871454,42.464664203088226,38.89169193938817,38.5856970364769,38.09103806076033,35.0538221218588,33.96862884410566,37.921691156125085,36.036820797099296,31.451907388694963,34.96452709607107,38.506376574415725,39.542021657270695,42.68724360644151,42.776218244545454,47.043232777792,45.24678048520494,41.09968762975139,45.56022908129775,47.224313714064174,44.286518752868325,44.30746123507229,50.0565580962933,48.95977447935388,44.66069334400142,47.740512891890795,52.10028260829843,50.01169960215575,46.80774267540752,42.26002792777965,46.25650712375204,42.14835064771117,41.12349938823261,36.54768188787901,35.8445025310634,31.09927193083013,32.45064547606535,35.08930012627817,38.81306530424416,39.62306991487883,39.77547592558099,36.0335912541611,38.33050075598078,34.147316952367795,31.838849712437224,33.30512756962156,33.541444195881716,31.214630103074384,29.126171923943993,28.936379598137638,27.494498770707814,24.849814442610487,23.727671320137265,25.534364335006277,24.348976952016955,25.455151055216543,26.642093628906228,27.135411165989964],[18.19169038485402,20.568214649996,24.464493740812113,22.5409948812221,27.213951521629937,21.864563803942403,23.602995134261523,24.420799753573466,21.545077894106836,24.425948453778865,24.396548713463208,25.5765650469566,29.086085150258082,26.833709767776035,29.967651112308477,32.486349636153044,33.293635903420615,37.1059353730278,40.21687041107892,43.130637789217666,46.58014016831664,50.761143874854426,51.385541343821984,51.59576249230222,48.37612369124101,44.33732438458749,42.980996237000234,38.78701835459649,38.16789931236846,36.702581749999496,37.18507338812894,36.88706742753171,38.603235109018755,42.82089525456082,42.25258806865175,41.770423913531246,41.280019002275104,43.72165076492057,44.662879352567614,50.555076299931116,48.67991734836276,48.05050827809644,52.45850875057593,52.93644921933931,55.3091016130457,55.27543305239977,59.15671959269496,57.59318741331262,53.79368376615461,57.84082387213153,59.4490147165721,58.452449435304,59.66617324391782,54.74807645316549,58.89372931124246,61.74442200754027,57.937054418417084,55.608907749149694,60.09578631193546,61.463781992682364,56.323769402262734,56.103847634003905,53.12697638342402,55.16905996123569,54.06417828452472,50.161477802446626,46.609978804531764,42.91159669747458,40.09659290150282,36.63101282697426,35.972227421398095,37.01480471350472,38.834702632732466,43.37826768845911,42.39295664055606,48.374684009342715,48.49835946300647,50.15466151940123,50.297829057532205,52.743135287877465,50.844866038164135,51.58057044607552,48.857378167238856,50.872464575898285,48.44626547581841,45.98175924064257,47.48551222103092,46.54000832148743,46.100065510161066,46.97737480806218,44.28553232634685,45.64804595784711,41.66908584040961,39.08766435754528,34.96963371813409,33.39753274285977,29.85564932947904,32.966267291481316,30.704711322213516,30.93193063313498,35.49826138203104,35.46423895785341,38.930755627058105,38.08497663721762,43.03219634514928,39.00325397884304,41.69004078703616,41.921447051816045,37.866576991187564,36.45202192339766,32.283418518155734,33.18086391439065,28.96600187116339,31.184239680182905,30.14854822181833,31.90965023172732,34.258137413508386,36.17585547086576,38.68386950566299,35.418950503489775,32.89924108934126,29.920103938200977,29.959793052288788,28.29805737068905,26.0308210783962,30.240951463618394,28.74029015129678,33.018939243355106,35.54226705112813,39.64443362810023,40.599955235104964,44.46894765320169,45.90367010886266,45.36474982292576,42.72038500145396,38.601456555821954,37.68636095538989,36.3973396252782,35.180434587033794,37.2359588214609,39.258364209311715,43.52082545372148,41.46111361712113,39.30197089055327,41.78685322473919,38.7878841873388,36.39006018736648,34.20728800560247,33.63584137978999,29.452773046529675,29.97758372929291,26.408236712975445,29.08239484988971,24.989202783122213,27.209040626688147,30.29692910885343,30.296408574672125,32.58696410574595,34.096545882110526,36.08374763049252,37.941870219734355,39.985426977574726,40.551031528104666,44.33179095009496,45.73094788995363,44.71196448175232,46.85950146782754,48.967513212434895,46.23595526555229,42.82754505817355,42.77226126735504,40.65651670187111,43.11733825778515,43.632812368515424,43.293020846794555,42.814587686150865,40.25714586848935,44.83935069708377,46.29455659124625,47.24296459728128,48.07678762484625,43.42948319184772,48.59221115604467,51.547225557301175,49.17468536184303,51.75238493483217,50.08600127803206,55.0759247155555,54.79049416326847,55.48937148806328,55.92925734412753,52.540761585270886,51.985703038522516,49.47164945725248,49.67358772697909,49.67490927514179,44.815972123039934,45.2424993521954,42.20606527298517,39.95063644611028,41.28626531180822,38.409370004775475,35.68673531533954,36.92136103109439,37.45270502220447,32.81716888294372,32.02147232038318,34.483032610099414,33.38162753158611,28.35772694633351,29.731700570313496,30.75375451101724,26.64191331238382,25.11734467589721,28.751616178803523,30.683023273170594,33.54232919587886,37.25159144918196,37.209510991966575,38.57816486373181,43.848650161369086,44.6689567873978,49.0956518084786,49.780874466004626,48.53511567060316,50.65141300086479,48.39372941505034,53.2256534877803,52.43532765354117,47.229959358550296,50.10664486070973,54.204138029837274,50.71221353947527,48.828351176807224,52.52812256391277,53.09550045962747,48.85599415056464,48.506279414801064,44.37824964683334,45.61335075246485,47.62809005496232,45.24226524954587,46.12906768786375,46.71621628596765,44.10023943815167,41.94126895929085,41.81827077429071,40.678693803343904,37.205505814347426,36.50420343447392,35.960614488004474,32.99788349770176,31.67189616815037,35.43480810104025,33.562943089296816,28.894571160668143,32.1700389573847,35.67952166322262,36.726633663202776,40.039980332337535,40.37040523510663,44.54688914591057,42.47780374944094,38.46312220257321,43.08643903683622,44.5124723360091,41.51168856750434,41.80728085338984,47.45932128259574,46.142862832701375,41.9864354366735,45.29192968546601,49.45840204414711,47.224708755738135,44.12050327410946,39.60191632661613,43.47843495434647,39.39853981594416,38.12196115038548,33.72524842030784,33.124790860014464,28.473331459701136,29.851553854761672,32.65331428094697,36.36475927142166,37.38318083243249,37.49982575782516,34.132765501568976,36.64105358232403,32.74497925038532,30.086812586826696,31.798426742107313,31.80613147058365,29.91166469824022,27.660773286299253,26.92855491131837,25.67411308558254,23.553550119853117,21.736436813168684,23.155400082272696,22.012095296444485,22.982556577555638,24.054327071080344,24.442519959678098],[21.495151506734356,24.227755737552734,28.682984603219758,26.741487079316215,31.996975042578807,27.300954888189082,29.358874595260193,30.55566935088079,27.78400374238182,30.50370815103284,30.569232623446645,31.95660568698322,35.28462944807861,32.75096745967156,35.99675427421805,38.63766412735386,39.21744334066719,42.92569722694295,45.69269776641045,48.847653728750686,52.105973356292544,56.39336904180387,56.799791862595484,56.81079845283056,53.76192037655563,49.674844468530154,48.56479633453555,44.470595871020436,44.11207819951508,42.881061565986165,43.23934290331847,43.2045584112679,44.89006174528209,49.0154192421914,48.50609300428079,47.88813615411116,47.55425590490814,49.74915397625593,50.57912320544019,56.525742989874686,54.359877165023725,53.784432595391465,58.24376067642736,58.53041191161335,60.70808072574848,60.46763542620687,64.40243456528061,63.0884975628163,59.16691636848119,63.17859117500009,65.05565792284878,64.17107019285424,65.51227259620545,60.643047039059695,64.93909300993452,67.6909154068127,63.776542280542564,61.63681109039515,66.14345341128733,67.31210392418839,62.13484472659816,61.971751776666316,59.05371475271626,60.845036766218406,59.73658330600625,55.98300916991513,52.15941189515109,48.627770075898916,45.4879565170115,42.1596505716538,41.22012960622137,41.97628107100829,44.16147044767931,48.70741490688342,48.08764036683555,54.08427761222048,54.39365782733822,56.16575996016154,56.40411878118044,58.85155732669287,57.09859026591696,57.7888336760558,55.16933125774458,57.06781583678642,54.52295391484803,52.168852884960735,53.59877773275577,52.83087655054338,52.19173231078161,53.15361820162964,50.30353552434531,51.48829321814703,47.55075620925174,45.11125934510216,41.05576851736347,39.33963663140846,35.86553177273268,39.249710852273154,37.09620909527801,37.34853388444317,41.944159405764495,41.884957402029684,45.342286323098236,44.37855357594604,49.179274086588975,45.00563201435356,47.53057102716012,47.51538269375774,43.312595143624634,42.21530397111255,37.950092663482835,39.024080908170724,34.891337437686744,36.911772712901296,35.954235473660894,37.381844003415644,39.785450690770155,41.33356373086855,43.861288973649856,40.92402376353217,38.18775249472451,35.377082543598384,35.05456769557302,33.62250647112232,31.5566037787141,35.60213170422889,34.13949219994924,38.47507871515501,40.93979677632435,45.27526766879828,45.77700436424266,49.7514748947415,51.21395700562863,51.018026022684296,48.11603886870912,44.04375780227837,42.6231083545237,41.47463105103256,40.13750937626854,42.47081242154618,44.1060835026233,48.49234654399291,46.73082119120596,44.71573848909413,47.40613687857618,44.6468481022173,42.16375451310079,40.23059956528693,39.729476732913575,35.62903836967679,36.168123018590656,32.76216840071768,35.37598472915197,31.215949583960477,33.59245426774155,36.729096474598556,36.72875234832125,38.94053337578087,40.44296428732882,42.251292347193704,43.881024435741786,46.022010973291444,46.21342467846667,50.172586377045626,51.323995270100546,49.873321073191185,52.04981152476206,53.83476878279274,50.9821570388355,47.65776583795887,47.85500333253295,45.95690557161648,48.75744230966006,49.5076373520412,49.36482928638932,49.03076851275243,46.54794252767136,51.20019748688395,52.5165848234867,53.44721005314876,54.06217824916644,49.38466494178763,54.39253398453759,57.23620316036629,54.815729425716654,57.50979940706624,55.866919244797444,60.8214543823879,60.1929344313943,60.92290607898943,61.19499995148907,57.937591951584054,57.186692521503986,54.62930446838765,54.77876552630852,54.594445682357055,49.6686617882463,50.07407499842344,46.791232515493,44.89405759043433,45.87884129694262,43.289046612060226,40.60724832099604,41.24870279780966,41.73937813766284,37.320622034359104,36.03791004948598,38.22073592703669,37.344253630908064,32.259427364344134,33.051556848035524,33.8652856597202,30.126023488759273,28.192752625241337,31.08928822631403,33.21899332077685,35.87250514428234,39.536644078147866,40.06729191108937,41.27985666834742,46.61941940970856,47.25330850774733,52.03123328465557,53.05013005538637,52.18791781725373,54.62981561974371,52.77754760779853,57.539108328077674,56.359138373879595,51.35626859517844,54.5607045998199,58.352674558356384,54.675320016967255,53.11951751604351,56.98075498055823,57.04657765611115,52.71282824247997,52.92912351277286,48.70475190322761,50.51946928890864,52.451856410504575,49.925572369911634,51.11207765940413,51.54890133453131,49.30051387382089,46.96100910113758,46.46178713558599,45.61678226147179,42.33709307396504,41.14991155893851,40.47495774799463,37.63263898259453,36.051081889025184,39.391385918648595,37.44697188485289,32.78411931379514,35.587295023129315,38.908197554953475,40.05147535647852,43.67264650902596,44.46571461661326,48.43928554889695,45.84381146795739,42.12386632188691,46.99440616146638,47.91854948669616,44.768452782977604,45.52103669460958,50.96478801822428,49.101434378813764,45.15478447531363,48.85435752415085,52.63173551679658,49.94969346651413,46.960966036467326,42.44544188375665,45.78600436180105,41.55752338710643,40.11500721905489,36.086863726732915,36.13760534395355,31.780990761489175,32.62090959939138,35.769992981679586,39.272108414595124,40.81505968247251,41.267405738408335,38.47657793177393,41.38699414430035,37.74289020205917,34.95931138779767,37.11374168181699,36.93744840172619,35.50093505251379,33.05665674361432,31.78483595061612,30.7977768671798,29.22034197566592,26.662782909820418,27.594216480064336,26.435607229029397,27.024884267307456,27.69795624587562,27.617576244262132],[16.678226810707255,19.74364451074904,24.20658714010373,23.23549038271649,28.30096604002966,23.209404379091108,25.666746262540364,26.42809829417821,24.342229156082503,27.794094940341257,28.073091222748335,28.83645462997996,32.49074030515729,30.739324160866495,33.95234784467668,36.21285990229753,37.083874009063656,41.13576420764488,44.447452993468104,47.10719477243287,50.71380466365599,54.76531817829174,55.47718756638524,55.649940851217615,52.278833162995795,48.359712723747926,46.72876121547086,42.50671553441444,41.87305005844618,40.16147745272397,41.122327808816344,40.27305697611188,42.05436125359431,46.47989903897604,45.77868796090764,45.468149316729495,44.55090379659243,47.21167097156791,48.02202560507462,53.691964716434214,52.05110208180353,51.76579164529628,56.1178638197208,56.549446099789876,59.08463978223326,58.97885631086661,62.835134661087544,61.14873236946155,57.20369213176384,61.04237102474819,62.67757087206815,61.48102900802383,62.88308097255831,57.95964395627687,62.03469800900073,65.15640256363123,61.506892519113734,59.1105881903754,63.64630076067354,65.18691956045443,60.18989890138234,60.09180004647562,57.1250335638182,59.40907142331954,58.19824076338169,54.15725916448615,50.91517548916759,47.132821556816,44.56014537314941,41.088020357664384,40.57817098902666,41.817946160273074,43.46920230034575,47.96829297735184,46.730136564550975,52.68863791076982,52.578978920301815,54.111501126584535,54.070026244227826,56.39939211839556,54.183575978160526,54.719051338700254,51.66759024876099,53.548631007459605,51.322663426009655,49.02745921893828,50.89925615619781,49.79716577646276,49.82123384403169,50.66952893849171,48.2549699845901,49.82049339763593,45.79886381200968,43.01333652459488,38.87727331180538,37.44098121265214,33.91350066740801,36.45594816308967,33.87555070392224,33.432353774633704,38.27735092345957,37.52386985560399,41.405047454695996,39.945361801620365,44.78084433610231,40.52996857460893,42.72390826492463,42.847175919079525,38.5985199347452,37.44375327741225,33.40700289592407,35.031307144594514,31.174132193683054,33.761120723640275,33.38116064504151,35.23670296655384,37.92234876289866,39.86641653126343,42.813815473311514,39.51702261141867,37.04380438636777,33.880095091893686,33.63364756992618,31.624600236258566,28.94560016590037,32.68424256278435,30.33858370859491,34.73348517587625,36.82662148314261,41.05946255706174,41.67219404999605,45.38233969457094,47.235530189284525,46.82385902680078,44.40336854307057,40.5376508384973,39.23403725693009,38.588552645969024,37.79372065180743,40.092914626038194,42.47287250311333,46.896342708991945,45.007628652348075,42.61368893616693,45.08917385023222,42.12001357238763,39.58854077961447,37.213068102070736,36.19426101045981,31.966037809487283,31.82594589524902,28.43919088804775,30.540699481305747,26.321404461946877,29.25084319289438,32.41819744419556,32.826875580781724,34.66919763406779,36.751726115891195,38.21488479684511,40.40398828460124,42.91465736141763,43.46910227476503,47.23523854031751,48.334100727801754,47.31117105438967,49.05396665418073,51.123308335424824,48.081104572837354,44.94614729248393,44.76788304653044,42.99009495835986,45.467182141219276,46.04271280786065,45.826628745059715,45.141749149300814,42.96741843752177,47.29109948485391,48.8837328230255,49.512530136816274,50.42942914927753,45.39291172576118,50.42098862929472,53.40132797976645,51.24449480737516,54.27185968238963,52.961481522316596,57.90174308310387,57.72096465271825,58.03992915219473,58.25063911638437,54.76805425718428,53.84223527791136,51.093052982232855,50.989815849095415,50.604263737745406,45.69264206863054,45.71800543611311,42.35085410552265,40.17920639076622,40.87967364431061,38.05552081365946,35.678235733551766,36.429585732657635,36.49930821732866,32.088788734649036,31.456415951586706,33.26557198183085,31.828889197030602,27.14870636278488,28.187810408869037,28.64968823700628,24.693749772879166,23.374155939511773,26.407167538832184,28.79315528824272,30.94425940529407,35.327887694789304,35.37419828366211,36.29684591280492,41.62301074710564,42.00381944556781,46.83746402895847,47.58949241257942,46.743880941785285,49.06528050320655,47.214719668552334,52.0669943696826,51.018565177485414,46.200278049617424,49.33633396413025,53.28402834989569,49.82930152311819,48.30662581682245,52.236733140814025,52.54660748256064,48.311846882738536,48.60261851507938,44.11613778190378,45.64738563190722,47.33826669171733,44.54607489008737,45.54708611068358,45.72061357294396,43.571918579023915,41.43330120061092,40.63475733191509,39.669256588139724,36.61573802906973,35.43700277068612,34.47428486064686,31.6035350467158,30.239070139195288,33.45100804375791,31.34237460622594,26.775629128716176,29.797937315665205,33.05215794407462,34.388831046936055,37.90898215531152,38.75265331222343,42.78143524031122,40.31619642352868,36.789425228070264,41.65356478605466,42.73724673635787,39.75292341610216,40.64760991132148,46.03908892689911,44.4581619956177,40.72617203947915,44.38580440379861,48.17151651675262,45.803775184769805,42.98169508851395,38.61990197792576,42.30667081469098,38.39949960091918,36.51226619099515,32.5962266195205,32.02948297089329,27.642856019839645,29.273421989152638,32.276708007156365,35.94358319669127,37.234714054323796,37.09615217622296,34.36557783010142,37.00280794511368,33.64589647440834,30.362386682340567,32.04110789079571,31.487843517708814,30.123003524066544,28.088306543420106,26.440081867276096,25.116173253253137,24.110159978834382,21.654401829395574,22.042252073016293,20.48430963412513,21.05772941627473,21.887013047751594,22.092225556729204],[20.195934305988466,23.107981074245675,27.120500752028487,26.216708420137778,30.70295557084715,24.897669544054956,26.80111318899324,26.817168457225698,24.330801567527356,27.695830866410496,27.29911689348184,27.65573856980979,31.92809298836811,30.233918982748236,32.77542250751006,35.14933972303958,36.612009621204855,40.396806429559575,43.94952012932647,46.61707496852954,50.24642709044925,54.31320557403238,55.21234650435437,55.704293856493734,52.36505967928774,48.37298141026203,46.79768269685483,42.50544177483196,41.41228532772403,39.44744054852012,39.682171078036994,38.93443117854619,40.20259967763742,44.622455468373715,44.385964219499016,44.43451966406453,43.691070797661105,46.79653342068683,47.98257864740961,53.72235081504105,52.3504754077057,51.60158097840941,55.90310810434694,56.689871458577656,59.27719344207149,59.483603961706336,63.291402551758566,61.45706016881004,57.815672457370084,61.86309072106257,63.150096871578214,61.959276295513156,63.0045590032962,58.02939529750711,61.84664709957442,64.87670129175943,61.26953020283223,58.56815829286364,62.94603244495423,64.69845793850153,59.5782602270532,59.05468810491541,55.85590940387694,58.23526738552449,57.36277634349989,53.30809643696157,50.00442022258837,46.07317162874533,43.64169236501917,39.88785348316542,39.56937665378376,40.53782170172591,41.94388175896721,46.620480792702985,45.2195457762142,50.90380216983313,51.18863975294835,52.3893140858627,52.69791743016633,55.358315060464946,53.19004289476012,54.17614857443036,51.09627007596058,53.408868996301315,51.35245703457606,48.67782954004279,50.32756407383106,48.80997292621974,48.77337791344439,49.036180182222914,46.59916647210232,47.79512749983323,43.728710435567926,40.873396332118034,37.03934857018062,35.20752483246185,32.051853001747666,34.58371834681989,32.24851881839741,31.60652091059142,36.88641507095748,36.602424710284204,40.6464232155322,39.72772848941045,45.01356456810659,41.11000346610876,43.529448298585415,44.11559017269661,40.08680392950014,38.42225212392978,34.629756819244875,35.967258208301736,31.937210795496302,34.682951256898995,33.79478210195422,35.988920395230856,38.25678495177685,40.5593010774019,42.90996745403894,39.28321522305119,37.06517990713687,34.00781934124905,34.47154603750923,32.58048485016503,30.006099901184534,34.125466505300416,31.992098148815174,36.266654201866636,38.46224587882752,42.33332409585383,43.57030476852502,47.12313545768745,48.93667006500995,48.03854830655824,45.964500195892526,42.00443275283409,41.347162949446876,40.375430863366304,39.49553853477918,41.38542887353853,43.8378929736343,47.99899427613469,45.690141719224975,43.37314687954934,45.587341947023596,42.26095949372329,40.005154535844355,37.37567644272065,36.47505105770901,32.11686491813974,32.00082080004325,28.033322057695667,29.846092733914897,25.00644881279709,27.634962674363273,31.219442833392193,31.96322889241804,34.26131525666473,36.274313294608476,38.422264246500625,40.987118675556474,43.05148063409904,44.21160728149863,47.70365762561603,49.32128902408841,48.78255783454831,50.677147242844086,53.05694915109807,50.246135290637156,46.95054990654992,46.58959970818348,44.46948252026079,46.52023442090825,46.720067743039024,46.09190157976009,45.145171309478265,42.60702316564855,46.758584405989986,48.75232449717734,49.541630011943816,50.91556499374146,46.05369452185871,51.35641696716353,54.49735921543877,52.36676761494296,55.046158779629586,53.50925685759802,58.51250821428981,58.696353650331986,59.20503115199221,59.70898528359298,56.131763433402945,55.552313957567115,52.916348844267866,52.922925725474926,52.76761274187615,47.94556707037953,47.975006126870994,44.84884102187126,42.270755760806836,43.20852414691912,40.00023711289052,37.74292225217913,39.07573178749954,38.971719042725525,34.418260845689105,34.44321338980734,36.28260671187116,34.34373586230213,30.032860475367706,31.517238035280307,31.848146802577297,27.61122671351352,26.89109816723108,30.21019295070656,32.63167221475801,34.537496589087716,39.28162370995331,38.92712061826756,39.721831660312574,44.98256042996547,45.17548849709731,49.966959217122515,50.37144610372282,49.396516370016215,51.425711337438514,49.31572009149526,54.28334204024484,53.59745927396894,48.792911105746136,51.63292084380386,55.885611053408965,52.6745115581446,50.93332020065333,54.741981367974425,55.5081171523804,51.37756230936907,51.24226481485684,46.79998540119436,47.70698737743074,49.37200946685759,46.55897168622787,47.098350646111136,47.1177040358326,44.66348104047412,42.9902400187983,42.24262735211305,40.75381857321842,37.82623044746787,37.211785904044355,35.936166377329386,32.8966802707938,32.14993641821397,35.42590881265121,33.02612628561213,28.719689728985873,32.27108209134891,35.42391894372784,37.01574515070426,40.26691002452404,40.9337266455146,45.12017916029963,43.0398271571631,39.5875819901011,44.28249546595225,45.734152689831554,42.94116183260521,43.67470516161813,49.129837663187445,47.944586123032465,44.21996348616107,47.636259942226616,51.62003698242252,49.56558138867925,46.743755264124026,42.42577867462299,46.38836375669357,42.58641452872658,40.720750473642674,36.6970126941987,35.733674804245176,31.21098052083372,33.197656323962384,35.98694333946551,39.76154611781004,40.72234087907908,40.31251723156104,37.155459709309234,39.3789936249126,35.79500774284307,32.6085855430107,33.59292665376853,33.01626852682249,31.02215062035606,29.601615189087344,28.396248632730487,26.415161884047404,25.12145475042935,23.771946892498736,24.262350440128102,22.147418302872996,22.812235996790804,23.86341334497456,24.34616649285283],[23.297496582372087,26.467381583438353,30.78926279769723,29.974753498473937,34.75085171861869,29.166718294737812,31.21826863036719,31.32112892284613,28.85674176481607,32.158322606252504,31.703711783714688,32.0840868544794,36.392479739077,34.56910565312314,37.04771939088085,39.5067932678873,40.98230875762998,44.676253673932806,48.11882579716974,50.91277985294668,54.46325412545528,58.590401376561296,59.429407684947925,59.88696826994399,56.628815463591785,52.588493997918725,51.13599637204414,46.86485166301448,45.80615168280711,43.88966857319945,43.91448111950864,43.297399270161826,44.41780809984382,48.798442945382924,48.71072525457783,48.79170539209287,48.13983396997177,51.241993194848575,52.447052637872986,58.22164273902379,56.77773407980795,55.97660482304575,60.29828272923449,61.06473825091396,63.57665061560725,63.736730228141234,67.56980821598303,65.82529476080083,62.1652412421643,66.2328476923719,67.58649829668121,66.43673916371446,67.48508038429894,62.51582614855428,66.34742652718633,69.33401939120897,65.68984803000485,63.00273015555887,67.35879094481636,69.07586650016047,63.90992552525076,63.31341927370198,60.07982294834349,62.36782034542863,61.57760216129802,57.58597967889122,54.13144610447859,50.24182758498981,47.6734619997699,43.91559795226184,43.492024944612766,44.24104695605729,45.78617552802769,50.51932471534405,49.262534836980066,54.881628796602165,55.3654065725807,56.525522791029026,56.97039047604916,59.71373076728072,57.6041672608924,58.66343569918895,55.59441089730324,57.93860873694429,55.87893083129035,53.186859178964454,54.7803938481921,53.23682746509036,53.11923081807943,53.26603963522532,50.75861666337798,51.763419459695825,47.70550205903491,44.89780603274925,41.18425574706575,39.17411123321045,36.155836470153034,38.80551893861113,36.574184322186284,35.84410420432202,41.254612591636416,40.99468487961307,45.113720846377,44.18733499425271,49.481328325924935,45.5484025516264,47.86276118351656,48.4027266468834,44.310461885440965,42.74533972289246,38.96351296598189,40.42314186153883,36.42313857060129,39.13252086723362,38.23155758998831,40.328633810919946,42.57933380339384,44.7685315441682,47.042124184956656,43.50357958598868,41.21197813291848,38.239842787989275,38.63226884370974,36.852428553750805,34.35965419623121,38.458542215393756,36.300213220969276,40.61456967307646,42.7583565947229,46.70758959506282,47.78762656740673,51.34795427324417,53.23171814239553,52.427734787764386,50.315437862351075,46.37818254011173,45.53064581051008,44.635290866597025,43.70846272110108,45.69926350942693,47.99981312593416,52.20677279542619,49.97317057864542,47.72234011439228,50.0003556537973,46.7170212517603,44.454300989189996,41.88292939085458,41.00489329332686,36.65090247195898,36.49082218415196,32.521266698996094,34.18071711351226,29.193859248767218,31.891415939528244,35.581104623807285,36.43524981576928,38.7428378905988,40.79142376006084,42.93942109515916,45.49925122522028,47.5706095251576,48.66168477906704,52.19931849480173,53.76962325386619,53.10074009330961,55.00584065909047,57.28099481656052,54.407381026800046,51.14385473580609,50.865798297802215,48.82135767686386,50.97463847616774,51.2264699021465,50.624914181305265,49.670782863516216,47.129442055211186,51.248817538807,53.28306334799536,54.06203503413023,55.437099635343145,50.54518070791286,55.81646910551603,58.94282461492463,56.8169884966824,59.54013261174185,58.000371402809535,62.99877888601652,63.098154417871974,63.62572534424157,64.07899882803294,60.53309914428064,59.87564803470743,57.20486174785336,57.162829505996235,56.90166870992737,52.04535473565497,52.00321244190549,48.737832360656355,46.27687402456199,46.969868267778565,43.84273940747897,41.68984625846288,42.74416001235582,42.4986590570901,38.07645649780122,37.99462177254262,39.579431150326634,37.59332842011118,33.395469394834045,34.59238497744374,34.67146076085118,30.624062000254543,29.83720331425902,32.6918610622169,35.31900255550115,36.90088708639684,41.84704503651208,41.73598318335812,42.315358909318256,47.60354711551709,47.528770112660375,52.606685531653504,53.12343494524994,52.4271834305656,54.60661745896741,52.7504422569161,57.70649799535078,56.84090395284855,52.23945846584782,55.23946482152393,59.36655105991733,56.121197706387896,54.5789077033262,58.49393598856262,59.04441267380591,54.88305180229314,55.07551577581946,50.52278470562415,51.65853123908166,53.2131328872391,50.24148277944914,50.85415272093953,50.664068572621744,48.43846378137714,46.78894057672187,45.70965152732988,44.29391020667977,41.60080696387912,40.759639992733916,39.25325246623826,36.27682753384094,35.527381950240134,38.44823552832883,35.891020085263555,31.706664036309693,35.03711324539599,37.979198750885885,39.755745539430336,43.14981560655049,44.14750059239093,48.21754584677896,45.85214294937742,42.699732167704134,47.535989470934695,48.72207635296929,45.89873862267606,46.97077940981896,52.271632438360164,50.82230845299026,47.30278527408278,50.951501261179004,54.69185133617397,52.43569354315578,49.73259804963845,45.450707894837194,49.14892673713721,45.31623035736811,43.24777482905052,39.488090938024506,38.800192740066706,34.44365007162346,36.254163408694765,39.227434946586065,42.91569623744395,44.138285127365634,43.81248797034268,40.96930611048661,43.35214213650005,39.91972722394263,36.59695133390844,37.68688527830528,36.92268190252788,35.133915298255744,33.75462116198562,32.21878731940158,30.257565566784788,29.34973183264793,27.707407057020262,27.82241258294209,25.564352453335704,25.95082319143666,26.801198969716665,27.033017918220217],[20.39503368198729,23.816677119575676,28.37798990514458,28.079478558255005,33.073181912435814,27.82894717432694,30.373645181205408,30.659092369283844,28.770787602745983,32.43042221642263,32.42100570923811,32.717280584826206,36.85369810101836,35.34529746357739,38.15737531139305,40.38847587334464,41.67360898298917,45.65285199295888,49.180854109235185,51.76539442645799,55.44338722849037,59.46160226676235,60.31625099401456,60.65113370995132,57.24762459733036,53.32390444811192,51.628311584812856,47.353045839238206,46.437005933956335,44.44679753907869,45.12364049844324,44.08070764022679,45.502161597222106,50.027625121726174,49.61391165665398,49.64878848380795,48.63401333129241,51.70617899441763,52.687277112567806,58.283933925316596,56.92095938971569,56.51949042651443,60.81718575370749,61.436740823801166,64.06690089987421,64.09219254143498,67.91674409435348,66.10683039642511,62.25561806668747,66.11314738617646,67.57503348567822,66.27972400116816,67.57055539691765,62.614492497823704,66.48606924006629,69.6967391125681,66.1515601033987,63.525433039468716,67.97998043347005,69.74492089529265,64.73215011657497,64.40186899275459,61.275321938251075,63.72214401927511,62.70140984635113,58.59698180587986,55.42160332440475,51.51201539881633,49.09511989732025,45.434168111850546,45.07313868148121,46.1508606150216,47.62820955065114,52.249783272751955,50.83171560557892,56.57872425156939,56.676232620794124,57.905127676457965,58.04069282495481,60.55154787185328,58.200518918092556,58.937345734162335,55.67302335169176,57.76222787595066,55.77017577480764,53.32780633413782,55.25149670540869,53.77621036223449,54.002169152543864,54.40440266361963,52.107533720725144,53.46881086232611,49.395687890015594,46.46846643354054,42.56873638077305,40.87737596471836,37.65240473920556,39.92248356654037,37.365520376938214,36.35918930476425,41.696291043025184,40.8203744243367,45.0860282151321,43.599919029595604,48.64590712418141,44.485517429012845,46.45407816721241,46.789639151092494,42.555107375015695,41.28443030341372,37.52402787231117,39.45097019790862,35.72406392376636,38.59571136347882,38.252499437626604,40.32612306213607,42.927345551695765,45.05788447901985,47.841777180289085,44.35760438041887,42.02795506364295,38.86599343967414,38.87531511072827,36.80929551413199,34.01919987246123,37.722293220431474,35.0311983284356,39.409031925589105,41.27244743774249,45.36564421992662,46.093159241182946,49.585134188875045,51.70526108316797,51.10345253209832,49.03853513038263,45.29009258077554,44.08261105585896,43.64904824212044,43.02181174634803,45.24507065172948,47.79824613168129,52.171831453724764,50.151941935516106,47.70399475837419,50.0390040503638,46.88131814261971,44.44573466069034,41.82856135929961,40.63960603480453,36.31682165542505,35.78295144909126,32.147914247389146,33.626664849170055,28.891593493315796,32.06693802379486,35.582598072839204,36.502775662898735,38.3692818534697,40.75898596664612,42.34685263853966,44.96818994090695,47.46802702904743,48.36951715364196,51.969893760554505,53.19706181053305,52.42004552183229,54.01896766905282,56.20865577369416,53.10176613509448,50.05273337569719,49.72464253476852,47.97072593812627,50.22794718398568,50.6217085879315,50.2280441826515,49.24522314603706,47.07237811537055,51.102699996753856,53.0569455481615,53.584779518018514,54.84864122386644,49.68140467174704,54.77545637348283,57.86199266254444,55.86430360909331,58.96173377534478,57.723558917933026,62.667658715690195,62.74440627742258,62.96025408545085,63.19305632289592,59.61226358657541,58.64245496457721,55.80903289581281,55.56114946244448,55.02761828757265,50.1452370949296,49.87989901156621,46.407202231466115,44.0932362002851,44.404708251716684,41.42093179666528,39.426144107073355,40.10239051488341,39.67043064913796,35.431791334518046,35.30634019391582,36.5457193300869,34.52518032747304,30.469960607589105,31.419075610287926,31.2549501654385,27.391929882815557,26.63141500200402,29.123553117070834,31.920601662955175,33.18434968488661,38.34948089814874,38.311417616455536,38.70283219552178,43.98691298170397,43.769451545406426,48.988253912692706,49.60317063888809,49.10857371864815,51.44057815612613,49.84380819137861,54.75473287028557,53.68384186801826,49.27974409844216,52.45729031051558,56.4215002901604,53.15751218287147,51.845290116697626,55.88248817414749,56.21125522686583,52.057237318968966,52.65680296835231,47.932717909013355,49.350308087121356,50.7410617032092,47.59473868570437,48.39291612827083,48.06588328768259,46.166152118340676,44.38312667536663,42.986659511328256,41.83133259204215,39.30158235468656,38.07422214846063,36.4906693665817,33.63503040230581,32.68943311261146,35.32168298896678,32.77622391175004,28.605486853893527,31.646910789872425,34.48033802466215,36.29598938958439,39.81865205845728,41.076192006227245,45.0128378440815,42.398046724270735,39.46478071863739,44.41072311037573,45.357123678910646,42.525981487843204,43.89676242514017,49.02812616046795,47.404468827449634,44.110905070601,47.938570164296486,51.443997005398984,49.10548390574332,46.56158244330634,42.392655008473724,45.96512549397578,42.26428237710119,39.89030445785007,36.415057218295814,35.755670618370374,31.604808021866056,33.5175250573744,36.56177591037718,40.18596776802219,41.55608028273555,41.116883943568844,38.69681366291493,41.19867663265502,38.13106346322174,34.48831800475545,35.716943681008026,34.69346543140123,33.3702848639752,31.92964393933744,29.85297359380682,28.066323548775998,27.788618583722833,25.584672247985903,25.1791087593417,22.903544721333425,23.082520386321775,23.762300127559005,23.88108947178723],[20.178010647128662,23.798227776887398,28.294668362768125,28.853143067124375,33.658680652866735,28.43750479614123,31.248647879661593,31.202408418567444,29.90682445096203,33.942041600114734,34.034283799620795,33.8662548179981,38.18586730028783,37.19912842283958,39.89141585362997,41.85774215681491,43.34597973117165,47.46467514364063,51.278341112560256,53.553658839228355,57.40585772620667,61.256284490561285,62.28790820765509,62.7132983040006,59.14892723724246,55.35317280387699,53.36917098900711,49.06297678548519,47.97816001659303,45.68614753212959,46.67845563093809,45.113391294994145,46.499548046927615,51.18044758582011,50.71007516758511,50.996120781540164,49.605688477530464,52.9939036536662,53.960669479905576,59.31378961907564,58.312857943546376,58.103772454217996,62.298261564044914,63.004358319201856,65.83639281394005,65.92872513945049,69.68497744136886,67.66519556447636,63.809424212641964,67.51887288657264,68.83461695064791,67.33314912012497,68.66833190941854,63.711296486401324,67.39524241780065,70.84407925141264,67.50094531528586,64.71016700663651,69.14606173093948,71.16032872970474,66.28944503510776,65.9735803958248,62.81452826173847,65.55890594729402,64.50981009426971,60.25710148984182,57.44744068362629,53.4142316918564,51.346659899544484,47.62248729687537,47.50513925766527,48.791294918136806,49.96470727678152,54.54100882964338,52.77483099946529,58.413086295128515,58.30828428424149,59.32960524051559,59.327353710307165,61.7744622458717,59.12159466720788,59.774047812036294,56.20813964813422,58.28196285656393,56.557585762975926,54.17638042356169,56.38528999479448,54.65288166961629,55.33579391943545,55.58470528050131,53.597651139149775,55.1264987760765,51.03331586241353,47.90569110999315,44.06200530393331,42.502191022080716,39.36483968046076,41.03658215118275,38.260775200582394,36.658725937993985,42.19246512120399,40.7893092666749,45.38357168728075,43.521490863247735,48.531494804438246,44.36078638759756,45.95439280354495,46.37852949189866,42.145159795673706,40.90718517016219,37.4412690635737,39.838718463163666,36.434895604072494,39.64807821235147,39.719295987825696,42.00596198979496,44.74977314179059,47.06386550339126,50.06544564014257,46.42273359042517,44.264922322963145,40.957929752933296,40.983130993015386,38.6273908976776,35.52655259675527,38.907839092916035,35.61397388281691,39.94157524414646,41.43651937745244,45.40874179774849,46.11972674636432,49.34107301901331,51.79148244469266,51.0814547633809,49.40996548687868,45.898768597852246,44.69206843966332,44.69216230627999,44.444705596334536,46.66253807651729,49.623538976620424,53.99826962930142,51.955943631853124,49.30396555000619,51.48965807663936,48.24310224029252,45.80539581009895,42.93564746804836,41.39091650084532,37.06448223608607,35.975982736659574,32.432473871669025,33.31894405453148,28.53771402512356,32.12881176008229,35.67055641165402,36.986499011121325,38.53289300965805,41.361484178407444,42.660597207509326,45.67896633699033,48.42354621740285,49.54828747970428,52.98362752785519,54.129703045193104,53.60434850287505,54.863033554356825,57.17759430686253,53.92577441075299,51.08108432303609,50.52451785730487,48.93313288983485,50.97128663087362,51.25437218279203,50.8220976459178,49.56856914312006,47.66375095155519,51.35947298811564,53.537686074609326,53.81460937804852,55.30821679732437,49.902416443286114,54.92853705062151,58.08008648563723,56.316634621618014,59.66815867313854,58.697337611315746,63.58689268627898,63.94587929190773,63.85771638454908,64.00840405265122,60.306640506177516,59.16204470778082,56.18776728981974,55.714034730769136,54.955894150574856,50.13297494405293,49.51499100431842,45.939656164599945,43.51386874546317,43.406077675894906,40.32712010829465,38.72515434206313,39.29458331769942,38.39031025166631,34.3682820820086,34.76446510263183,35.445379720343325,32.911056853363455,29.489794422567165,30.415866259086485,29.715242493455364,25.955883925433444,25.803373368635995,27.917255506441784,31.00084804806626,31.479052719087612,37.320257969648964,37.033307193408426,36.976280686251755,42.1594808118229,41.502343286803516,46.911122825501664,47.35437221709179,47.0946173006339,49.397075895745004,48.009717696287126,52.934003136653516,51.86314482551679,47.83289174456347,51.019148349221105,54.98148363754297,51.928741114716104,50.80407552313658,54.91627622756953,55.299463807121874,51.266773973841644,52.14356728712408,47.199890099739385,48.504266621938456,49.58845797458165,46.140224808609034,46.80596852323655,46.08329555565445,44.467379243905626,42.92495287602405,41.02757575194712,39.8180792426436,37.73359517124072,36.387449563542944,34.363688594247144,31.590705939734903,30.919098216016724,33.05823592895631,30.25538705390652,26.434324416555857,29.43829191907366,31.937237902860417,34.073528495575744,37.53268025455739,39.07596717947511,42.90797348507962,40.242655202958574,37.790697897541456,42.73580906878881,43.614064767940384,40.96729424780474,42.69048316679976,47.57029977602767,46.02907999321908,43.136709642233285,47.02283857496297,50.30563031187028,48.12797456322356,45.855667360061325,41.92884644160906,45.525217909903965,42.14481900984063,39.31529520998555,36.222420034962816,35.26394012907977,31.36029785437188,33.72480349963112,36.675284683269055,40.26913529252219,41.58067736476046,40.724615121235026,38.62770297395929,40.942595296472916,38.28483894580164,34.24936284419087,35.078032041878885,33.60652040323054,32.51134055015305,31.546803681495504,28.99233560033342,26.93435932429833,27.47728150436308,25.344138244721336,24.16285098669563,21.420659222353233,21.30273645989774,21.90065304547478,22.081963503132194],[17.029621446592998,20.75618860906817,25.392303752682384,26.316410992766443,31.263108442175145,26.562432851277773,29.759319285549918,30.03575138202069,29.230070786678,33.41098399138207,33.95752352072029,33.88212909992709,37.83011428748393,37.025603349530755,40.07748709223507,41.855499609909685,43.029100167061515,47.35601343819304,51.120105128746836,53.24401793495299,57.14172086097913,60.89526937323851,61.878031275193315,62.1371150334762,58.49206295792152,54.81762510670134,52.67828836438661,48.42681304167517,47.573077634315986,45.34400746406069,46.943671753458574,45.12847122698937,46.86635297868243,51.58967555417319,50.764159150426806,50.88689965390786,49.24769596648775,52.434685092358215,53.14358525905718,58.334389697096846,57.30549859668829,57.47592425265842,61.64758078654271,62.15522106343039,65.02789535807933,64.95266350579988,68.69521036299116,66.68613444177434,62.65270426846537,66.15166635011424,67.62317965762342,66.04463024975232,67.62546037308518,62.71604785063271,66.49356013046403,70.08167374697562,66.79621367322184,64.15861658013814,68.68396050505072,70.64056431054227,65.92303942284909,65.91007051236036,62.91011960370227,65.70185512320971,64.40594937218812,60.11230465504691,57.50839362631501,53.53466258016253,51.53428947399716,47.98205502126194,47.85200748803842,49.41845776369,50.60841163635456,55.030167517876436,53.22729010881451,59.00616389797975,58.536415480807555,59.71734646099413,59.40978110235883,61.59173413688908,58.80571617937228,59.11107990433065,55.479448224371865,57.24328310528459,55.50126997965581,53.40770720663561,55.85991904799378,54.33196519096958,55.216130172834916,55.82781466089541,53.97240164891206,55.83273077524103,51.77171323982679,48.62814072112564,44.59273069856237,43.36839864355807,40.00662395572797,41.47387512810438,38.46869505129683,36.85668591724931,42.093555285234544,40.2200631476673,44.760895879575166,42.4265273604808,47.08731855618609,42.70709286481387,44.02767285510534,44.17234713342168,39.827226449252684,38.93985482827454,35.44411731646997,38.165873308464455,35.02838113768495,38.24404495636762,38.79521757308801,40.95029144633578,43.9849763728208,46.151634256640044,49.59845538771608,46.106924541826636,43.886993304482004,40.47299608496752,40.09074244335676,37.55324635095802,34.28887991833699,37.26090495839755,33.625576465211985,37.954884752622895,39.23150080993137,43.35382277629954,43.6673664848147,46.871643512078,49.44525930185584,49.00666268463072,47.26683320166797,43.92821368807689,42.34812679628684,42.72089289226282,42.69492428977108,45.12793693757769,48.21183977834076,52.70924417306222,50.92099182370549,48.148223247169305,50.41583454576099,47.376841474867994,44.78235813995805,41.99272745172112,40.251726493791665,36.04778055452997,34.765163971683705,31.67363806121427,32.58444898862906,28.295696901465845,32.15200563572739,35.36885442214012,36.550437712170414,37.67756959784252,40.66748685135939,41.40665286323286,44.29798796166651,47.401307492949435,48.22263911616912,51.74409243017906,52.52607045742885,51.81175428872675,52.8325032137801,55.00298914384482,51.5747694809504,48.92735435024757,48.38485232833647,47.07436462951267,49.27205175866551,49.748938907605336,49.57211641481905,48.4084309803216,46.846598933235384,50.536166006921555,52.499568618438346,52.58608772913616,53.84427163196233,48.27211413318206,53.071033566832156,56.12660012893535,54.436489677641184,58.085068128006675,57.36306552608246,62.16968571749907,62.408504631138,62.08301753271819,62.020064810418226,58.34536737486558,56.92997867204424,53.850515661723236,53.23071298998052,52.26026594976114,47.42856516520871,46.68949302388857,42.95577817781567,40.75325359664817,40.36989865190978,37.52185847314418,35.97495057111434,36.14894744826394,35.210938679458806,31.369508251714223,31.545991313491022,32.00780255901675,29.641380959987274,26.217794350308054,26.86275584027584,26.06281897852141,22.530610023338436,22.251022038680258,24.045925130674245,27.198668028771184,27.560642103975198,33.40342689729546,33.23740729334843,33.134137893125,38.32601516725056,37.70527689267655,43.157078703383355,43.76453196883617,43.611860244576185,46.080139963283074,44.89415223178161,49.73747454748933,48.4491329050787,44.49872829333053,47.85764097360263,51.62821846863321,48.490901401726944,47.54597631203796,51.73834715076555,51.87360462539735,47.830634142820685,49.03038245723852,44.01369662848985,45.65429923678579,46.66516313898404,43.16882315098957,44.1021310566607,43.410080166410005,42.062614314054045,40.263914363802016,38.23547905633421,37.3851918818248,35.312858778590346,33.563929623656875,31.67645328701753,29.05713566488087,28.01886458685075,29.998061134362196,27.37057547693603,23.44898326804424,26.068675652627533,28.574816517166827,30.593094167322974,34.20382357972847,35.9048050925064,39.60813648522385,36.70523992540839,34.310389603201095,39.34234107787084,39.989215157144514,37.28271740551463,39.18333085931937,43.94919916576946,42.22255017515301,39.44296938542195,43.462328058032874,46.57107090173397,44.290231289142575,42.1039664690522,38.25189674083429,41.716063551607974,38.423080702118774,35.431519206824944,32.548061342938695,31.66668508889825,27.97116004066896,30.331542404763457,33.3153659760279,36.81452568665162,38.25874605378501,37.38775091992244,35.67190972589439,38.13808620788883,35.795491549303996,31.593920038407244,32.7077766984748,31.12757403326038,30.537329578769732,29.33136115757027,26.357757778685592,24.681129383499474,25.679638829646457,22.911686976475703,21.37460666759438,18.909467597099095,18.65849180413771,19.088899957707014,19.157797569219234],[20.57627614255032,24.33883838363424,29.03116871381271,30.1321876470981,35.161629584216,30.63763922948225,33.89769242461442,34.13959606566622,33.37877697726147,37.562982795318995,38.041137665064404,37.89787458971714,41.947677191038665,41.13180268367048,44.10825760274013,45.91409023656649,47.159919364151555,51.45705469280465,55.22254046680417,57.37817909368292,61.267270486746284,65.03734568648639,66.01702797191757,66.27728614013216,62.64849955607731,58.959750101697885,56.84356731479848,52.59074742289752,51.71212966798047,49.4452676393815,50.939789551060386,49.114371540790096,50.732311148135295,55.472588726005526,54.74770230201462,54.95356796922326,53.3052300579115,56.571614156844355,57.3010196101151,62.46909764696046,61.47107831575395,61.638457397663984,65.80478462991185,66.32240507879516,69.19602689952978,69.10678245589824,72.8551252406343,70.8525656388971,66.80506898035578,70.2848306463791,71.76860564255396,70.16560848150856,71.7581340142695,66.85443758565498,70.59327445029656,74.2089401583649,70.9457192768682,68.2728085066961,72.78118030282789,74.77965007111193,70.05652597871568,69.99097114182533,66.95016504534742,69.75414748775627,68.50944977048262,64.21600430826143,61.579104843238085,57.59167523399188,55.56514931115235,51.97364561002418,51.82606240771125,53.29060750308105,54.51002667939792,58.98530020898804,57.19682703660641,62.92159654030872,62.55070259985565,63.65544336390534,63.41692150020816,65.65180887096382,62.83701677130729,63.182743183943586,59.48868226462871,61.27864582222105,59.60085252290286,57.499876969393036,59.97021599166796,58.35768239529691,59.28212010541538,59.769588305679605,57.926114499338894,59.69026886809323,55.61482550546332,52.44811849203981,48.49492168010534,47.1567020381775,43.89218416979091,45.34576618991225,42.37314659872612,40.59313096360151,45.97878522357903,44.046696002418294,48.70149417259437,46.312584451748286,50.96772248741734,46.594781799929535,47.75457966611744,47.89098211723565,43.54074852369564,42.72946165867012,39.340980353927115,42.20265380661775,39.144790708930934,42.38681428047617,42.969523387497304,45.11026481071683,48.14577775050729,50.28402160411117,53.70974969371904,50.226807738798016,47.98848483190191,44.597955261133755,44.20084063984485,41.69455596760101,38.444724370100296,41.369358128380554,37.651224849868534,41.964791892722275,43.12866296550828,47.243375230606645,47.445151508962496,50.56669864659936,53.25423215304838,52.85859502619036,51.19239153452463,47.93570260507338,46.23900248057033,46.74472997686112,46.75418881317559,49.24122440081378,52.29628313771033,56.82171828739327,55.0722399176866,52.30578094492521,54.58340393366929,51.54495096520027,48.952414942536116,46.14736393111195,44.367130316110746,40.165036807606185,38.77377501532509,35.670234319964976,36.36572033949678,31.957175499367132,35.87942261946124,39.19173575344313,40.528191413166404,41.63179363110411,44.7125019889596,45.42908123992665,48.39765322013176,51.53543600575079,52.367914519470204,55.88018421113791,56.61975857008838,55.87389714220668,56.82524891332897,58.94123439188256,55.44552151954873,52.87758607554455,52.346839160549344,51.12584860375293,53.33694009400217,53.819410659187476,53.6441252189589,52.414251244109415,50.89572120675267,54.48438923324072,56.53294684224442,56.560276375796576,57.876502565586385,52.247801268569646,56.995459071508414,60.04634258524213,58.42068473723222,62.149445041980705,61.48587583630666,66.27894605849228,66.52037338135001,66.13518264041574,66.01558623246416,62.34145296501445,60.829578324952216,57.700240402881626,56.992745253894576,55.88954889929824,51.081166808840855,50.20564763505097,46.3727418287702,44.25905116232436,43.58058145376425,40.814658708418094,39.46958951536621,39.39745911236265,38.237128948981606,34.63802964732418,34.85277145178284,34.95273292317268,32.46991749562713,29.407033181601278,29.781125338654437,28.637537775758336,25.44851457336545,25.273092206245835,26.46449053190805,29.776040791712436,29.588617495218358,35.66661618155357,35.66321322150847,35.227121447941634,40.309191418853906,39.30684347618807,45.00141359242676,45.66444635066569,45.847379009475716,48.41657306843314,47.537462997235636,52.31545679150495,50.876551272222166,47.263660231098314,50.72589781501526,54.34249653162535,51.26709627475422,50.55967963885509,54.82004028061711,54.78156066300482,50.78738241844916,52.330729653707884,47.215127179050306,48.99625066876502,49.82487538605859,46.15452124983518,47.10375159385339,46.13491187243568,45.075695285286564,43.38532592724076,40.9737703712328,40.18545598596068,38.459315605574496,36.53117119196368,34.36912585343329,31.892621527003495,30.960250393890586,32.43370262099897,29.668755775627847,26.10351972867791,28.403898413295547,30.521472360841116,32.75345089869426,36.395036180312765,38.44906019932759,41.945707767745624,38.81048856154107,36.883973749535016,41.947454450130174,42.31845041942655,39.68448441724777,41.95762325893511,46.44061590357456,44.51652244102687,42.08471420239042,46.26828105053158,49.05376840766861,46.66210483318806,44.69574007132085,41.00508205797008,44.189097173997546,41.01164508787728,37.75044187490996,35.273799358442744,34.57559801829529,31.17540973601352,33.43635129429719,36.4887082262617,39.84673848122663,41.47109979809407,40.58152530537579,39.21851917832759,41.72889250649453,39.61176519893879,35.29330905961429,36.36699100485943,34.5764498167381,34.176278853257124,33.13701264884122,29.91300090403667,28.21763220164754,29.586326851496143,26.756010193090898,24.873920925342446,22.276502258579203,21.703258112757617,21.874260940735667,21.701506423606784],[22.10167818131666,25.760549011247914,30.54567056976256,30.784707650073805,35.97928403820823,31.163041642886345,34.07850293569868,34.44964990842099,32.99157709623332,36.836487024157314,37.02959677065853,37.21127165247057,41.30695122821888,39.97915198509449,42.8925177351242,45.008599980047656,46.23975936132608,50.33211771287767,53.88427032902441,56.377407141292,60.10231640034638,64.06777663765033,64.91826416624176,65.17713118659645,61.72023855266594,57.85984310720356,56.059972176402134,51.79902699026533,50.95325088767302,48.90008899231553,49.84595439971768,48.563070456840606,50.0378286754183,54.64188862744256,54.140181188745494,54.2212361384795,52.99796238218687,56.10812906570689,56.972475903762735,62.43393056460951,61.138794687290876,60.96806203925921,65.23955300179217,65.77617464082823,68.46081536440273,68.38817239159076,72.20766926509408,70.38045060485109,66.40919011361376,70.1194086969131,71.6632938772147,70.26916257817861,71.71459034298381,66.77941674205931,70.63891975504976,73.99372602998231,70.52591785173054,67.91457473991699,72.40249825418167,74.22037993400532,69.29728830578945,69.07125107774192,65.97595634172292,68.50877385715644,67.407964568621,63.2554078149479,60.20472900513089,56.28965298334285,53.932445120851504,50.30960425276574,49.960858460047326,51.10990978777603,52.58213894085313,57.172495457145494,55.69616605345428,61.44496811246479,61.427382833609975,62.62530890844232,62.6554476418546,65.07853087701277,62.574642230714296,63.16102291916625,59.73735586482835,61.69357682261152,59.796940651730246,57.50335015573107,59.62704282968238,58.12417831326291,58.57481796833083,59.00864470572501,56.8413948636463,58.29970352276561,54.220399172150955,51.221354242202914,47.31473297246391,45.69858277236949,42.47255470476434,44.50834789780949,41.813164253401254,40.49631734377603,45.901770010660556,44.611256858324744,49.053621081674876,47.18409797426018,52.060581342030154,47.76938760682501,49.37344543610583,49.56808656590836,45.2370629967657,44.23056057459883,40.584311186831044,42.93412064634194,39.46888408320406,42.4490451481194,42.47941512683832,44.50705849103681,47.30422546780255,49.35488216451742,52.40295242154019,48.9823003535456,46.620718365890134,43.3948275172277,43.157466530398864,40.96757989447813,38.032740402126315,41.41797357481106,38.32311089465359,42.71251922490978,44.29002541718597,48.46744033043358,48.86142012106957,52.238884228859945,54.60577183346295,54.177682612820824,52.201357081136955,48.650261652028945,47.10237981484855,47.08154969452852,46.67047460557094,49.08381988866109,51.74149749985538,56.22701181946106,54.383758006768815,51.83885198570138,54.2146857739833,51.14827881315396,48.61965513256135,45.97779368933294,44.57170640168885,40.29211546430059,39.42702181985282,36.01427600645577,37.17319432372117,32.51414160299941,36.02081893449125,39.49851693359456,40.59680796872733,42.163436205931845,44.83319015773172,46.05067148047776,48.76639654134929,51.54965500719911,52.335736436975985,55.96049048613032,56.935780351157916,56.053557507617505,57.404595721774704,59.480352072344786,56.17208666798843,53.33243559740325,52.992623937469425,51.505776681564896,53.84383630164326,54.33409218577175,54.07257313259278,53.019157537977684,51.11159384045325,54.990737404804975,56.96611072560887,57.29207061406545,58.532902868134315,53.156712647455215,58.087124908632816,61.13883507952829,59.275418917762146,62.66657963996453,61.660152853380424,66.55133412483177,66.605774653454,66.58673256039646,66.63132079741128,63.039424844167335,61.79204620030344,58.817916725812175,58.36598757049282,57.54268872855791,52.66150826138917,52.135120909790075,48.436321677869316,46.30482713617046,46.103272511109225,43.289397939297125,41.57376379667048,41.77080758952271,41.02274492128487,37.113939168697144,36.98115481512302,37.66707061481455,35.52532308379631,31.8644028073161,32.39532301982589,31.761240067239015,28.30913341707449,27.652789344970802,29.357810756135176,32.428164799449014,33.007657133279025,38.53350869209837,38.70376769544936,38.687052243937025,43.89375683683639,43.26380957421959,48.799398814725734,49.539463056522855,49.4696932260653,52.00072969063519,50.8407206052464,55.671533978741515,54.32551117789002,50.33225538289382,53.72854411068218,57.452099507270816,54.2152266176959,53.262607087795566,57.443437688572175,57.4654352195733,53.35038831197916,54.52424606416038,49.60091387739746,51.340487074702814,52.46916511403724,49.055833475596856,49.99731617649902,49.34245652143062,47.90457014828497,46.12226019073764,44.18321503923914,43.25616081657705,41.130426659161024,39.48034730800746,37.60711396736944,34.94964727511016,33.94919887252561,35.9572552813366,33.295802813999906,29.408797867555087,31.984331559998626,34.432856188056796,36.45838054260828,40.115572834801654,41.85774990735647,45.53564838370075,42.53740611268634,40.1417448751889,45.20704187537465,45.74745500720617,42.95925239883098,44.860376984107695,49.642851655819996,47.71673205307239,44.86474205695061,48.969166516756886,52.03948219304513,49.532015057029675,47.27639383015236,43.31245327661397,46.542308579688395,43.01677596604726,40.204884727417905,37.27861427792002,36.81675102943286,33.06575087945065,34.951182694309175,38.113730948482186,41.564476152485206,43.206822462721384,42.68661430265687,40.87020441409913,43.498485849929736,40.877134557506196,36.91995253045162,38.21273742414309,36.82687477629019,35.9918055703561,34.658985220571765,31.97929255344659,30.301852087969205,30.807450929287644,28.155652396889163,27.04363696196272,24.633938095774766,24.39049052955219,24.716246166992217,24.548024557981893],[17.061643333451116,20.614944338029524,25.519782848626864,25.421530883897162,30.824848719646546,26.41187181666858,29.485257863040925,30.383203884619583,29.0204992519556,32.782079936972565,33.400282076381245,33.96454580410088,37.53676918190493,36.10887312048093,39.482761524879685,41.53771055658052,42.309221555090005,46.54600034668266,49.89663379881043,52.385399323471844,56.067066944148365,60.014127204972546,60.72570860686363,60.7743469982263,57.314279950208366,53.51326759294973,51.70218393240575,47.51405276727444,47.000006174287925,45.19460700304782,46.62325864369577,45.38152571404348,47.282892862267346,51.832871247662496,50.95838898083406,50.69919722014487,49.44426383675977,52.13972720762015,52.75038424094075,58.19772362542024,56.661692790505455,56.7559866227717,61.06120894523468,61.352805647595375,63.96932993495216,63.708391196373285,67.54632042339563,65.83605306450441,61.70649714132041,65.30459346457343,67.06828225875296,65.72655193297084,67.37431649546947,62.48527044695702,66.55534409331874,69.89837710625534,66.36778270436426,64.01383503815892,68.60568946767,70.21198711802973,65.3673885550861,65.4600980423528,62.56192634264926,64.97771406920965,63.62057882738927,59.50659188964842,56.48890050592205,52.705243138713286,50.24960291594565,46.85346878810191,46.37858212431342,47.76378759290845,49.386414560108236,53.813724916121465,52.46960541006774,58.44545114648872,58.11227546586236,59.618465282809595,59.381197479254915,61.54777929828509,59.094431416266836,59.36903851849702,56.08589058905288,57.73913220442708,55.643460565365466,53.5972575624693,55.787072214599995,54.66959594983209,55.04736739583373,55.98709720528579,53.7811267804399,55.53644930591148,51.50819988127759,48.610055797560584,44.44032125650786,43.154136659709465,39.605516544875435,41.76077507433808,38.94470858000754,38.036072778113656,42.96241114483581,41.55626080341414,45.69061971567189,43.625236542531745,48.186980090747554,43.7159848524626,45.37302891821979,45.26122401603723,40.846570354482495,40.10530838524008,36.208942881476865,38.4918717815934,35.05157579202549,37.81174621432513,38.04897642525936,39.83386936631027,42.83474499145881,44.656083213507316,48.03794392812977,44.846423638214304,42.34239714423639,39.07479324051893,38.433499836875946,36.20876389390746,33.28602056651546,36.48738747062601,33.4839692252921,37.90216771553718,39.55649546403716,43.937700954901864,44.03162022565879,47.59222899804071,49.80701469602524,49.67254615071135,47.3647773670266,43.798924345876934,41.965170234800645,41.96660657165976,41.52609203527862,44.11893010279265,46.68286658580916,51.27134136935725,49.664764662689024,47.1117696864482,49.643160706001396,46.82883372251766,44.15020148626145,41.740086585134215,40.373149124370165,36.22031982502653,35.55975525224318,32.53419145741802,34.171096268862044,30.072534150636837,33.541004932401144,36.64148714860966,37.302937036000785,38.66577650969087,41.18080972793419,42.044540041464415,44.36175261522791,47.32474301458946,47.6865144922107,51.488746925347314,52.18402467381842,50.99845052442748,52.354177629257485,54.2516888554811,50.90107295304601,48.08731811652663,47.88668391138445,46.52440973318639,49.12916261449254,49.86274564553421,49.865139602093166,49.089186207922786,47.334835290874416,51.44590155052293,53.04043634534291,53.3601720661138,54.213689426124326,48.85895877290486,53.633398896370075,56.55545160272848,54.59351416893271,58.07242538202392,57.12232095934694,61.96904244799405,61.75120309802546,61.708121883008516,61.629873456645335,58.1323632733376,56.78525379128379,53.824896971089395,53.41809416814554,52.60487797577578,47.68033212526272,47.33344632438733,43.61874561549823,41.720176473668836,41.692289159723934,39.11770363641355,37.10481964541291,37.14242483430973,36.79227505885731,32.80556490692012,32.10984723869528,33.156198872284946,31.586324117079922,27.34405267309538,27.77273420195641,27.609994886822196,24.156686249072862,22.89870551346455,24.88315653391367,27.700594115947908,29.01061221163539,33.91060942011537,34.26366885560662,34.68390726269429,39.98720959130653,39.88922161385528,45.16716371594166,46.126843734036605,45.816717789787745,48.441848865929884,47.16596980747659,51.928935409832064,50.4810820829905,46.15825822310231,49.63077484179305,53.25345096566554,49.792011109571376,48.75604454431221,52.90997019685469,52.77373601618933,48.56128247496407,49.66139628548087,44.87857183926479,46.90767309198056,48.254495476947056,45.09421054800214,46.34368005430912,46.11563781720871,44.59175302511838,42.382758677404375,40.85997037290577,40.254876900298896,37.691982618225595,35.869627601440996,34.55816344192782,31.933176027942835,30.395267744873603,32.82903359601036,30.58957620816777,26.261744440067343,28.659213628006754,31.507159845292406,33.08321935195734,36.858751189045826,38.34940881238268,42.06653415865461,39.04262650632,36.150149977308644,41.2394309939273,41.76766641373742,38.78586558800536,40.40232311099022,45.376533318460226,43.35008884340792,40.16358938810826,44.24278061057983,47.4659399844572,44.838158592490835,42.3731996165504,38.24715971353354,41.49501345738056,37.788208884639765,35.27766930524663,32.06857949445855,31.778490547087532,27.912034729802986,29.533476892649034,32.74513668319574,36.19967357883757,37.898800801942464,37.6424595619215,35.784481539055655,38.63769056683588,35.939870444399425,32.158290461599734,33.982142306260556,32.90582803441585,32.283808140071265,30.35328547683632,27.759443884129656,26.627215427517484,26.812087345269166,23.587881699878377,22.88284492502221,21.150557190410773,21.164840574112358,21.534789275972,21.349138340646185],[19.897001203214316,23.50067617180834,28.544567148023507,28.861322772896173,34.45918005927913,30.714049169627916,34.09443366263122,35.192931135021674,34.18405462966481,38.0012736767583,38.82524429877831,39.39268649137697,42.82457978743247,41.464622411494894,44.98267504834686,46.96662068149739,47.58854482061036,51.9017517199199,55.16653179567633,57.62505446554515,61.291622226117354,65.20720542556799,65.84488285949148,65.75114644062312,62.29013651541696,58.553613969731416,56.71114624007197,52.581176067222074,52.227930293713,50.46118215099712,52.136503508909975,50.77048820903393,52.76210970748041,57.34431787770102,56.36100097430729,56.06196815486892,54.669878823835305,57.2759592646262,57.72510477210906,63.04875456060009,61.47346883205139,61.81883909714429,66.10757423405525,66.2456271402484,68.85001806203432,68.42715551758282,72.26593603596464,70.61722011897024,66.33928150375648,69.76515340998125,71.69623224196225,70.30239205594563,72.14559081311185,67.30958702863514,71.42732541373148,74.86590835624303,71.37650840077933,69.12415211671544,73.75827892614306,75.32940825748977,70.57523305782568,70.8211264710886,67.99365998146467,70.4108335973272,68.94466121798334,64.8323063279192,61.868899054950724,58.138675476815926,55.65240669431701,52.34701730415313,51.80859811161098,53.22312991337198,54.93463162341209,59.316120543844754,58.018333972452346,64.03237769129667,63.596697227914085,65.14723543100489,64.8028318447003,66.85428436653528,64.31562650287624,64.40428030700785,61.0389156182699,62.49863164323946,60.43478039559724,58.58413172862453,60.93033169961137,59.89039862342388,60.397962547265124,61.455656755674006,59.31542479423999,61.15453882234924,57.13390351559765,54.22085814646859,50.023179165819656,48.802575172428796,45.22556471023231,47.28003433253616,44.373810907386066,43.29575330717031,48.20295294979889,46.46014008224136,50.66773034162721,48.24828763662001,52.554023020112474,47.9444366844139,49.24371819261687,48.896260040105865,44.398308335876266,44.0167665905807,40.20627049563987,42.84177714579915,39.67336713677425,42.415615853199995,42.99335054157334,44.625208410277544,47.80650690177839,49.442021728524836,53.08030768680959,50.05122679725164,47.46626751582436,44.19075062228994,43.23081539585035,40.96922618141958,38.00755940201075,40.85523263560145,37.5853581148851,41.96369577344125,43.34900160966305,47.84240815554598,47.47956095314092,50.95635815575662,53.354120315474034,53.51062564275535,51.18347378743698,47.83256883446725,45.55302564035001,45.955841347490484,45.676092596799066,48.49776485963665,51.03399876162227,55.73458248414425,54.390414264942976,51.79802398012722,54.41933510134157,51.784018419507696,49.00167583080727,46.67256863619939,45.1623706887888,41.11246851238655,40.23303724976987,37.49404504642346,38.922933981710216,34.977247300734895,38.68390420773313,41.69912955155854,42.4335229867505,43.51493287689731,46.20931980701022,46.68114091442612,48.94815287903186,52.177329838960105,52.292891457226105,56.16238086662357,56.53465477695845,55.11609061069552,56.247473944455145,57.921732942448486,54.377276239690715,51.802693368065974,51.675633065669864,50.632832826097655,53.409360519927375,54.31456520407703,54.51643872427169,53.761521881835215,52.275596275753244,56.29506494004882,57.81033122315534,57.9511610920595,58.666216575566956,53.15988078321956,57.697055807153845,60.5215437675684,58.66335866634041,62.42656647646147,61.699516235542326,66.46492705308634,66.10431601838567,65.85187907128096,65.54227578796078,62.100374496218116,60.444740082178434,57.36678962387257,56.77069889995109,55.651658117904816,50.75163874144664,50.1931490183543,46.24635620263437,44.6780571091837,44.116339177112586,41.860940234313624,40.09239400728847,39.50171518133061,38.92611326678091,35.37754590299805,34.45586787137595,34.93879596134935,33.47212260885126,29.601257831567015,29.425396413821595,28.836941584641036,26.036781121549865,24.696217352997337,25.617965778352573,28.62620041613561,29.279111518760114,34.27701330272236,35.05094128307833,35.092141468012436,40.26387650099344,39.807873505013504,45.3848043213997,46.6090348998753,46.7847769937824,49.687844437477786,48.94031140820939,53.53860927021694,51.70755578036913,47.82564845211445,51.572094284269895,54.82094004686246,51.32442092848787,50.72146645993389,55.012414851030755,54.41089211438986,50.233624382832524,52.01567039090789,47.098351259640225,49.614798827149045,50.720335275171685,47.3595348255229,48.86706024250812,48.381329793836294,47.38326821012214,45.075930786314366,43.0539979202372,42.813134932350174,40.62498074200813,38.29174006942304,36.815900342435704,34.472749159417724,32.752301443952035,34.50255721985468,32.281565544637644,28.2732157278659,29.95877725883016,32.37415710731404,34.04517649944758,37.98994548510693,40.0035077896417,43.35734610326846,39.84347184445938,37.517900621438855,42.70771613927253,42.67872495516236,39.70208806704717,41.89031120241352,46.42818202871088,43.94464665530707,41.24155800954635,45.64198877332321,48.31111049786446,45.39061614950264,43.24345131665836,39.360393475471895,42.056879602108104,38.51431426090118,35.602503757912885,33.08860569719638,33.225296773824894,29.928717333526464,31.277703559577905,34.62302746403497,37.77464189353324,39.86035811592179,39.66915839674879,38.56208383771639,41.62254279492653,39.42062694647468,35.436637575711615,37.4763661809979,36.113849616506116,36.07046466080211,34.12851325440251,30.974097863629183,30.124626805826257,31.013431417339252,27.283064790386774,25.953005975618815,24.294862121073365,23.841905391989584,23.744428682817947,23.09075605424513],[23.717542400577578,27.203667053303594,32.26556926815956,31.963685361840316,37.667827333466946,33.744347139777716,36.8404177062208,37.99204403511008,36.446095409664295,39.969944954626705,40.51876604101098,41.31156229672843,44.819360130341686,43.03475374241814,46.44494648478463,48.69374012532411,49.33677110544302,53.44434568684281,56.511023340684005,59.27010305492152,62.77831965936204,66.86322530417492,67.38403460109308,67.28529185279007,63.99298215626463,60.10926765667715,58.559941848613725,54.43621676049877,54.100154518996604,52.5004286745601,53.65592960496784,52.74357032848024,54.5512763282984,59.01597325973526,58.271731378160545,57.909601893577104,56.87518402502319,59.384931308900015,59.959070516449266,65.5124358037805,63.69927688064075,63.75148783854522,68.1186181819393,68.27597354388148,70.70979669622861,70.2907719863378,74.18949002254678,72.70378740061162,68.49046619345536,72.10376578338854,74.09158294949586,72.87010028515314,74.58822402050309,69.73417099680552,73.93056550817107,77.15314613626896,73.50188537379113,71.28879234638785,75.89117331329926,77.32370447046968,72.40017718685735,72.48174346782028,69.59448225742112,71.77579099440435,70.46069664990787,66.48051470627169,63.14759048212484,59.4866851093399,56.706492534302704,53.37308599712944,52.648789237232684,53.733028622684145,55.6785799120274,60.167894031336765,59.15695142018023,65.14819694509711,65.06604820104512,66.65768115173128,66.57756122632371,68.8125261888984,66.52822498993397,66.8424386784768,63.67846918235592,65.29301040805363,63.08163141450113,61.06376450176249,63.120155295291596,62.13041480093304,62.25599367827914,63.205825279141266,60.800815287805165,62.32737347029704,58.30889450533401,55.53830447977231,51.43336237788619,49.93219981123157,46.45100192352755,48.97195221105423,46.31749986061328,45.53095802830564,50.5200293208005,49.27423823204079,53.36615236777142,51.3547971863326,55.84882204452891,51.32304719944039,52.91339294095448,52.629980579375214,48.15882698202098,47.63031882529003,43.67807920507789,45.951697097027434,42.49234673550976,45.02886471172903,45.15039215524911,46.674178600948636,49.63564138439341,51.17296719028542,54.45679115515899,51.50347846325767,48.81282980170064,45.70905315612468,44.88266951163264,42.9238710598248,40.25517372789549,43.45987742549469,40.684114961540224,45.09979230524172,46.77021833630646,51.28966727487998,51.058179864464435,54.69436502522469,56.87538140070292,57.00947125976652,54.4739783465043,50.921034561399594,48.73661059654869,48.74777405549492,48.12630193123051,50.893628473555545,53.059824007508986,57.7205655504096,56.3204189125415,53.93322977000727,56.63431244132548,53.98188876639033,51.26610351664219,49.070404144914804,47.85598859711922,43.75034098032116,43.2416321714694,40.23787879086256,41.9123707439492,37.70329712954901,41.111079750393976,44.304658092920945,44.93075673049394,46.37916796577565,48.78212735504657,49.66439890921668,51.76815348573513,54.70405033991941,54.793603188474144,58.74116628024009,59.29977093676994,57.75630899737676,59.198049261678555,60.81025574421892,57.40825753509564,54.64451606749525,54.68318749552109,53.45329573103361,56.328692698420376,57.233850705533904,57.356082280720564,56.71037579636908,54.919719012056746,59.122817331047166,60.62377825215951,60.98586926149501,61.67642200300742,56.36236994250057,61.02927573979364,63.85294281684105,61.82956384122138,65.33393680528641,64.34236597945805,69.17644785477869,68.65550610295861,68.69502858607295,68.50329268797329,65.13814046346059,63.67002314693096,60.70909988820067,60.290360270647646,59.35205163443447,54.41472949938065,54.08437423621583,50.22050630938513,48.65867595766317,48.36024574662184,46.077308670329536,44.11671124929226,43.673871757093636,43.31157628662355,39.61740236710637,38.50164004225632,39.29219208335284,37.98783257619944,33.86016751173629,33.74860654749989,33.39677277567514,30.500914321709544,28.936399644280158,30.0501561169796,32.90368949117032,33.893515857057636,38.543597413900585,39.48790626708563,39.703313296539356,44.89024011486393,44.54158209803028,50.08098382697386,51.36065083918129,51.47817884101587,54.37323923323136,53.526319383243575,58.143310862634245,56.340915890492106,52.31587088261945,56.034103648994225,59.31104738548714,55.73122541123065,55.02877554234797,59.274463022317214,58.66077720329077,54.42118641097979,56.03599593656381,51.24397990407347,53.7544411729859,55.01463928983847,51.7789460561725,53.255391698471364,52.87738960875834,51.692099868524785,49.39329106224709,47.564188812632864,47.19905953182277,44.86712543227083,42.71225128734324,41.29866657819357,38.8547589057447,37.19309563097651,39.13959840301459,36.8907300583169,32.81173832571022,34.65465938797077,37.141551750491665,38.78267196437942,42.71887194562172,44.63162838070037,48.04937292535076,44.576973955741465,42.10639876980216,47.286033101516715,47.29810126404963,44.25728481820053,46.295467102276795,50.93546681862677,48.39438173356938,45.52274343142589,49.89869325588214,52.64982630182883,49.611801362640854,47.33888045291507,43.32995180335631,45.921635401350485,42.169715286501244,39.55457061841583,36.86969032139544,37.25600517141054,33.819253897760035,34.825973252519596,38.24803064297284,41.39159466666401,43.54511223559708,43.63750104419178,42.29732362848117,45.43999443583791,42.92328019618111,39.19491250335815,41.33516710179837,40.1872129536008,39.84622438043081,37.79736087308501,34.98573442552239,34.069840726274755,34.456120525086824,30.924683040639174,30.03178700764758,28.383534639404214,28.04881616211912,28.023914102934185,27.343900193627505],[22.640468238397933,25.999307490831878,30.953069342727648,30.156206824987713,35.76037953901111,31.45824106124026,34.246497027793836,35.34409089624139,33.39463945964689,36.72207945978068,37.06968161733929,37.98840965193189,41.53632183419154,39.5379647211693,42.84559248226319,45.22718805652559,45.92105848927293,49.89882190655855,52.913987198293306,55.798848267049735,59.24397081391924,63.399566377678745,63.90805783476189,63.87902166980823,60.656600167102795,56.69357714940003,55.27598807867299,51.13845457501845,50.74247797610488,49.21448798419996,50.06021655798153,49.41035603640177,51.128879747685204,55.506603574449564,54.885354027002556,54.48944587983231,53.67666290013787,56.15406574115167,56.84969758291356,62.54750956516724,60.65493067638208,60.464670045513614,64.86550502738345,65.10384769702341,67.47101550231427,67.14162559733495,71.05432652251861,69.60129104639397,65.50175399029699,69.27087364707074,71.18959394491358,70.06882770249136,71.63288732806852,66.75496201141738,70.96264047666784,74.03812058273188,70.3032033811611,68.0712228013313,72.63522922590866,74.01556519697557,68.99099218738236,68.94747139603216,66.017692656351,68.09549297640869,66.88208006224491,62.961710034057226,59.46894996080775,55.8211717621088,52.94394506669794,49.57152283007379,48.80404455139672,49.76128818173045,51.75500219296002,56.28896209801185,55.37462604621484,61.34377390799296,61.42736966368753,63.03504260307486,63.092662686323045,65.43610077288899,63.31111302896598,63.79306731152727,60.778422574158704,62.53636259288377,60.23596539426525,58.06636953841218,59.91682463255977,58.94052293287345,58.83294238390155,59.717808670083194,57.173778509651704,58.55594054641704,54.54936524816175,51.86137401447666,47.795834463825464,46.181608065537695,42.73479337384797,45.509107440162424,43.013453306384775,42.494521180619465,47.44941246376619,46.59509582775764,50.54386376721377,48.89293680751778,53.55962877260984,49.15187386493504,51.062744490436344,50.91527349331827,46.51462230036422,45.74734916491574,41.6902764068099,43.596567928205076,39.88898995082466,42.31752981001795,42.07311808818022,43.617732734093934,46.388617110203015,47.97601165809533,50.98528520698716,47.990449841903065,45.30403615540371,42.281050182250276,41.670950117813184,39.86004468624873,37.34923146237267,40.86856887286402,38.469182077488234,42.896129733372945,44.83278128687909,49.2912158858647,49.35633263431129,53.10510558937615,55.07553806290177,55.04998934801128,52.429341692222785,48.68401082865722,46.789307460615625,46.414583075302815,45.566638335521894,48.17821110757129,50.20803511950282,54.77916392316001,53.2188059386764,50.93939815308509,53.619951000728655,50.8832101351108,48.25346238287677,46.09293253586599,45.090755945801114,40.939983596576376,40.73207793816881,37.517827097980536,39.44777438584835,35.13681062772846,38.25435889832934,41.5055092469079,41.99396390467388,43.72463333656953,45.875160442400556,47.11236102892966,49.13348795258922,51.79973163965786,51.98998503433835,55.92799111116128,56.72711037879847,55.26091037136852,56.949689781942965,58.6607365911553,55.434178641837704,52.46422596832177,52.52892142072194,51.050332300724534,53.86987337325044,54.68906836665715,54.684272242347554,54.09699555997324,52.04994366071929,56.38431309471831,57.88507265560182,58.43823496141519,59.16356672007371,54.03501907555544,58.86278242221243,61.72520957714953,59.57517227403945,62.80790957723839,61.58901814187757,66.48278099217737,65.97193731355928,66.24429467372639,66.22822452342056,62.87075681182342,61.656589702290624,58.818612391664395,58.585392413047686,57.9015272911527,52.94690933877051,52.843235197918126,49.15907660542178,47.42628933190568,47.55765767639491,45.10578207582492,42.91256717923991,42.87878189410546,42.761089811950754,38.76695314541104,37.66660717681431,38.920182781615985,37.66729043789027,33.20258621799945,33.44356391816415,33.45348317078417,30.171088983381065,28.527604298870312,30.315633118754832,32.99242102639352,34.53115376335343,38.97555249325185,39.73670077881159,40.2710354436365,45.56122706460455,45.5182597752547,50.84468755301539,51.99742236435498,51.77625733876107,54.507210929687716,53.29337374919317,58.005943741075065,56.44053709155367,52.069249286702274,55.61362025623519,59.11815094872743,55.51476962093999,54.5044764649896,58.639436940222396,58.29938346618817,54.01479365483872,55.139012139577886,50.49599954569687,52.72709819653605,54.206085779764614,51.1657884586623,52.50384380824886,52.362038389918204,50.79128291221543,48.51784992735689,47.10048019015507,46.51203584174547,43.87158958855645,42.06747619018843,40.83223045598799,38.203700661490274,36.61914882269042,39.05872065187065,36.837226982601,32.52215927092864,34.792090096458175,37.588575244874306,39.12199896878951,42.969164908332026,44.51276385863236,48.16923707480705,45.00255623671531,42.098842127874214,47.2145191818567,47.575316325033384,44.4924730120387,46.109720896070755,51.06585058921396,48.7769581009226,45.52479412328983,49.6912709363255,52.825820561423185,49.923007787927126,47.39361607919175,43.18167600748035,46.0868165781493,42.150540260673786,39.89294275914278,36.707277210690336,36.93213663170838,33.11480576482962,34.140306846532724,37.50349264740025,40.82205447521903,42.76418905589382,42.93438832542577,41.06641563032923,44.12141497777449,41.20345946646119,37.72290400832739,39.81388983914252,38.94648671805392,38.19109488713266,36.06384042752031,33.72596758774669,32.69279887431282,32.463512493103075,29.27124857880516,28.932324631473076,27.331009917543714,27.312127670695965,27.55401868065459,27.112978495867843],[27.389273471652622,30.690222704530733,35.54454951000518,34.488596095927704,39.97571619659801,35.355127548909394,37.81740761445524,38.69699171014513,36.32567429720173,39.417296353110196,39.353878346866196,40.26995483371795,44.05490986879326,41.80528177207221,44.772703977946975,47.359888446292715,48.275858247767836,51.98778940383138,54.92826982628697,58.02004416999187,61.34402815511733,65.61131619234224,66.10278960111039,66.18742561486269,63.108724065978315,59.02884721039267,57.84593496268833,53.70520035386303,53.15842258532805,51.65777448227418,51.86981565537181,51.57157348302982,52.95036112690648,57.21677084046456,56.95035894555439,56.65523946543301,56.149349506506624,58.72159297725257,59.63591791392258,65.4920222799319,63.5478400160628,62.98903026180409,67.4110593868478,67.79222485068212,70.05263973341076,69.83825328364793,73.76627132179918,72.37647058922988,68.44052588321621,72.4020309955002,74.23164472806471,73.22740337320207,74.57659115721285,69.67663607139262,73.82718540799495,76.71865322593055,72.90126273277056,70.58579537764379,75.05371623752575,76.42031627991624,71.24368987932934,70.91843946288263,67.86408587659932,69.79921754233979,68.8340019808426,65.0193981768485,61.24841077540922,57.61479420081669,54.58532705152158,51.10917274014703,50.27214867970628,50.8553964384271,52.93339261237466,57.58951176081471,56.840119631891994,62.64866883589344,63.151895240093516,64.64553726967632,65.03187891357645,67.625175292144,65.69539928524259,66.49902727553098,63.60528932395482,65.6196402610313,63.299554795489385,60.89031337800927,62.464319187918065,61.361798467638266,60.978378329323085,61.54922358689505,58.82627237926679,59.82154024036657,55.825245299167,53.2327793746823,49.39142289602894,47.43238841676567,44.2389299103636,47.30550760321578,45.09401082034407,44.667343920642686,49.81407123346478,49.42647293262344,53.36434871441269,52.146889645912346,57.07657508292765,52.844366999701585,54.972671066362075,55.02576826232644,50.70971800052037,49.69458106765813,45.65542817431187,47.283455313251444,43.365138453533426,45.7222801938436,45.02684114370583,46.606942267122356,49.076250569604454,50.70951221329984,53.24442571397094,50.20651841979156,47.54733490478862,44.7040341720747,44.427665075881215,42.870496944759765,40.59308679629662,44.441745629606146,42.39286293222936,46.798050690442736,48.916836746909105,53.267497781809254,53.60972577891218,57.38683705394068,59.2391445098228,59.03335476989923,56.42326244203254,52.53642819230962,50.90627573794291,50.202769159578764,49.11962202987418,51.557249811243864,53.362298472561505,57.80509958249324,56.068151281244994,53.961725782329886,56.59659544625278,53.73230684777571,51.251913930845866,49.09585076151103,48.3160539349556,44.10228066183433,44.10280586647699,40.555251764093356,42.48363216008889,37.817092146452744,40.65325422092122,44.144234661353615,44.704008798648154,46.79649667075133,48.75295902376819,50.46843588255437,52.52816846593305,54.85299083658576,55.24022165171239,59.121491122414824,60.21717859336095,58.84085416944777,60.76806876089995,62.54292658129121,59.478549741352026,56.346001538671864,56.44976140380661,54.74896171363638,57.479218387099955,58.165372429511535,57.96520097856519,57.343217436400025,54.989453087869734,59.34734789931871,60.99472041382878,61.73371206087839,62.61677027643953,57.66394152642719,62.65842115706907,65.57758681640327,63.345695166401136,66.30044379786158,64.84004064839766,69.79043928482382,69.31104417964092,69.83231634300333,69.98960446292995,66.6483530147959,65.66257356404734,62.92846190477101,62.82718212500182,62.30938603920088,57.360227768541066,57.36497114468051,53.788144632661044,51.920954398822985,52.22968876155444,49.62881892162518,47.40308055283887,47.61283697054601,47.50252045414787,43.40025998905665,42.439601441410616,43.80580924349479,42.4182915813974,37.987902284174055,38.38221801180473,38.39696492697411,34.986208370926285,33.46508413439109,35.37776912345462,38.04806283864816,39.57261535845203,44.06244613662547,44.783571143451866,45.30105763231619,50.589534969492234,50.45779165243701,55.822617409426584,56.888065763645315,56.649843830618344,59.29673055659885,57.98523138046296,62.75670074369653,61.30901711978313,56.91010699872453,60.3613332168294,63.980058521480586,60.419903218488365,59.312283218776116,63.401805381485104,63.19417849954945,58.907784501051495,59.842825296975754,55.254293925390904,57.28457609282927,58.81344289827383,55.790404401760306,56.95129389760694,56.7577436826682,55.02530750292581,52.93729419021659,51.56149930870862,50.7275831268683,48.11253468398227,46.55905719826406,45.18403539662745,42.456246726411926,41.1275612601869,43.61211242518491,41.229037499694705,37.000379186798156,39.50086852719553,42.24910957635397,43.91396541048955,47.69135661919687,49.194127889684616,52.9246356694838,49.861771148820445,46.977330373523415,52.06294571092231,52.53505950602764,49.48669261069974,51.04076861724081,56.04949418632856,53.835094829055585,50.541851784232946,54.65092491790495,57.86354805405513,54.9844825904728,52.41536661534059,48.1622094223577,51.081603752523804,47.081227803233105,44.93580954648143,41.67190029635185,41.89806608964002,37.98009533948213,38.96421041443907,42.309969267456275,45.65596260932899,47.54550254422245,47.7620807370397,45.663250489320966,48.632953499114116,45.491635932723796,42.14806800287643,44.05383184659046,43.2476877350889,42.15593383828701,40.202392536415026,38.13006521244134,36.83215496451228,36.327113350555734,33.56883174153478,33.40582876486447,31.572210603874694,31.587803743437654,31.901856754169103,31.510296511627462],[24.37418841413104,27.428700993176932,32.1118123994533,30.596374146762926,35.980857618248855,31.29313210321002,33.53879915406126,34.55840026383786,31.950503562674704,34.84241126252095,34.80361040641946,35.953084652885686,39.538449044301004,37.121112689374854,40.197136282821475,42.8333867202875,43.60140475672026,47.28596081443984,50.12815614377194,53.27485741820714,56.55291222083023,60.83781190060015,61.292510454326745,61.34307818591096,58.2952835701435,54.197678370539414,53.076969421882666,48.960311008965704,48.49697673993459,47.13680540616701,47.36162424649335,47.232536841943976,48.73594842530782,52.92370759230262,52.56714416880027,52.11492648926569,51.727017597740485,54.113144836962,55.00261684706524,60.9190059106352,58.855588935101984,58.254032323270366,62.70002068451777,63.04230207820768,65.23987075773266,65.01309959054448,68.94796973052249,67.6197962027639,63.700795309886615,67.70838327702864,69.55551180192445,68.63647911563997,69.9601601295843,65.07338210205015,69.30153831439684,72.10091962682378,68.22033707312733,65.99444389419287,70.47389581857257,71.72562442187217,66.53373776396015,66.26775691028512,63.27263719544604,65.1152547193016,64.09986662232097,60.33030855634572,56.50164184633917,52.923050792752186,49.81842101916491,46.40733110476638,45.50829778339889,46.13807670479445,48.284944079051186,52.900009336395826,52.23529902859825,58.13001308896291,58.575500183705095,60.20353449460621,60.545060819582346,63.08700990968103,61.26880362367294,62.043224515098046,59.30508937652121,61.28419610918654,58.83906539268559,56.437738536962726,57.911182525991904,56.97080588466997,56.428181131533364,57.170469662796194,54.36200768926198,55.41637995327329,51.4488215637937,48.94172700665535,45.008505955877645,43.134149884857024,39.819885199265336,43.082568759949446,40.92495767376905,40.852164813958524,45.74436875384423,45.56586267525252,49.26397644669139,48.21241580458113,53.10396294922141,48.91045475311271,51.26238550210817,51.293935745716595,47.03441171467129,45.95810174966596,41.79799705286316,43.128110785746955,39.08087187316539,41.265405204992064,40.39923804628282,41.904395135987336,44.31313121400406,45.90391676698677,48.39073156489749,45.40278077760317,42.70583526922289,39.89825254090437,39.626710425036414,38.15666377957994,36.00563378457922,39.98143446732319,38.24914217640044,42.62459583486868,44.93545418153927,49.27670892651993,49.71968434727442,53.60510663828975,55.25015785582605,55.03739805937847,52.274601967929264,48.27900456249028,46.770410574779156,45.81558943944335,44.583279074798604,46.956436058061605,48.650354791492035,53.05226246568103,51.29196153796875,49.24990939330197,51.911729386898834,49.09053064911077,46.62134560184733,44.57971977474861,43.95972913528344,39.79285246556672,40.08175563681516,36.566538244518725,38.84474455165551,34.38658298461307,36.97775495647782,40.319588705996644,40.606015319173856,42.79445828019841,44.507021559543034,46.31269566251902,48.15821118796134,50.361361404831506,50.663038583736125,54.58108097981583,55.72786663457794,54.31684745024705,56.39396316872668,58.175999903476104,55.231544176921425,51.9873616190287,52.14480038451351,50.326483578325366,53.090220083680094,53.80005153705686,53.613320495532335,53.13573393759274,50.687589308147565,55.20272172335221,56.692663642232695,57.54706540635003,58.30280801398675,53.505277977655986,58.522767899227055,61.40826556467053,59.06987743824233,61.86742230032565,60.29065082644962,65.24069162610498,64.68861450068248,65.34294035797926,65.57219398025052,62.27841620663199,61.429495003946734,58.79488393859503,58.83234204741888,58.50075260967384,53.55729757857246,53.776010930297396,50.350166242016904,48.45698597292846,49.123930726487146,46.512634011794,44.0453922982885,44.48929190423184,44.68753876957495,40.400939320860545,39.27887190320533,41.072380089458555,39.93228185296415,35.14594987958474,35.74988614140501,36.170917344506606,32.56139286915514,30.82495072665917,33.254174932673074,35.66907287311695,37.78189328852704,41.87388354691891,42.50459515136725,43.38288730158245,48.72191836329276,48.97924758674652,54.06832252208645,55.10982932478464,54.545263839845255,57.08974155937078,55.48816592386411,60.270817727420706,58.964526411674726,54.23822193943413,57.5657454937727,61.28796408002407,57.65998681875528,56.312947293295075,60.29107045341191,60.22868472694816,55.9083763239154,56.46210175765149,52.05760570731272,53.97176710781388,55.71507425433119,52.94328796676171,54.10947749435442,54.23767840394417,52.22314337138968,50.01185034971009,49.08617816309554,48.227669782357125,45.26293331911016,43.90742179799229,42.876104456119535,40.067904771675146,38.618897170775284,41.55892549212062,39.37733765272962,34.90045449488703,37.58775013662446,40.64879569793083,42.061033580200544,45.77405906914962,46.91406259946162,50.788840627503106,47.96184663142296,44.63371434504959,49.627930662264156,50.33938093260696,47.22764087845013,48.371299546230624,53.623125353976114,51.58430140517916,47.939009370338205,51.84852553765194,55.36410706642557,52.57679254301311,49.778816745360416,45.373289294889325,48.514032056469716,44.37438567137049,42.59048203752881,38.91808917309721,39.063968606571436,34.90129814944267,35.80916397678894,39.070646961091114,42.50688747411874,44.22820432487424,44.57372397657585,42.10610379138178,45.049885229548764,41.63273548717548,38.57166474611713,40.59683124357027,40.11019772743332,38.81744727971059,36.62288437333051,34.95841250515234,33.791955283727305,32.728506205190946,30.088142222868605,30.479294336546783,28.97328083476051,29.29960949871668,29.830943022172686,29.62814285546062],[30.454934991029642,33.46366853427005,38.20441359360844,36.44241763279956,41.93059383252343,37.470009171439294,39.600589634037505,40.74364741192319,37.899622057360645,40.48159182593951,40.2819430516186,41.6243552204226,45.13293964143301,42.38068437541271,45.34402015558402,48.163450077689596,48.86200286572976,52.30002300203616,54.83334866765048,58.247643039608846,61.29988276235567,65.70393806252488,65.98936705352452,65.96219401184763,63.13654275905037,58.960835102028824,58.15786418047168,54.13484458528195,53.77738171926101,52.63189744877133,52.4329050790471,52.72312313277549,54.059070560519125,58.075856406064915,57.92309303040594,57.38698323593699,57.31196836307394,59.52079214134954,60.45184967589082,66.49223019988575,64.17515402065563,63.38895597057728,67.86788272175251,68.15107373702205,70.13228924212898,69.83236065011552,73.79751607776657,72.69502473197737,68.8086993265463,72.90263470233917,74.88142747075635,74.12798378107354,75.40629441923504,70.55642419878453,74.86385874191235,77.45496132206668,73.44632734657306,71.33295233596577,75.76258557879018,76.83097967492846,71.539156127895,71.1714234025216,68.17526542305168,69.728041055509,68.84073342590099,65.26187052072615,61.09625865684031,57.673280791656836,54.271945216367,50.9399837050594,49.81621724700257,50.061625828031,52.489065776293856,57.1202515064529,56.8215528402885,62.62555958705604,63.41220397764009,65.09150296315265,65.66580889831535,68.32441786202321,66.75746946017402,67.67036534827892,65.12903174108882,67.15707493812545,64.59123570419938,62.135899635124396,63.36696943442575,62.53036629449664,61.650124285919176,62.32833205338244,59.29900565513792,60.033161831437944,56.13317176919668,53.819564532412315,50.044029957440664,47.94062103635036,44.78980810034853,48.4227222774307,46.51782836416416,46.645832508124805,51.53398590654081,51.6716285503154,55.253726608459964,54.42996273343519,59.34315921693584,55.18719102354495,57.624760116602864,57.60487093691143,53.34516850334447,52.3122605018337,48.092491915387406,49.261531445355814,45.12919043837166,47.085900603052195,45.96364811989319,47.2599788060941,49.49114465975694,50.85898644971181,53.04635663797388,50.27734025780435,47.479947866173255,44.914032949191984,44.629623995828986,43.47796482027568,41.63331798210372,45.69863606916254,44.30608279856703,48.64930498423771,51.06950758727974,55.460418239716894,55.8069585635854,59.78464175741794,61.30416948101538,61.20788612621091,58.252584424734835,54.19606567730243,52.58029750536674,51.455383237662126,49.98348674375728,52.3813063469989,53.66198611679918,58.017391137300145,56.34573205700055,54.52691826433059,57.28078537489982,54.56506537757989,52.14670299653926,50.3070128121671,49.91064390162339,45.798359696246536,46.31043734611324,42.74651663033638,45.10902848096826,40.549119665970196,42.95982310237171,46.37124781926773,46.587740929599846,48.94913271442403,50.45399915719597,52.43835482495601,54.083878772326116,56.10409181002267,56.256603574390674,60.24593051845848,61.417374107157904,59.78020032958293,62.04677503844693,63.64974707041895,60.777398256839696,57.48357532604496,57.836831739748774,56.00332170455863,58.920589516608,59.70678462375217,59.53948886279397,59.18527182513428,56.58934869078308,61.20229499109301,62.62498502191767,63.60904585667451,64.26858311659994,59.61951757673572,64.62036893613202,67.44410078252693,65.00284598118746,67.65611002021387,65.92459662270058,70.87265874190963,70.08514438652905,70.94195536625652,71.18183922063825,68.01355667083752,67.21506006019585,64.65522212679137,64.7789714064771,64.47956894546672,59.530077949410355,59.86227788561717,56.41235183827812,54.67997376834059,55.33110438056194,52.84117967988725,50.32666824457558,50.60622329271866,50.877098858060855,46.6650649024061,45.29102786548796,47.07298707129412,46.097395465064984,41.27297627061824,41.657995159146495,42.061319678324836,38.64704395223132,36.72139759698287,38.83202843567763,41.22850546812134,43.30676356128814,47.188168353679075,48.136263149152946,48.989084184855116,54.300345428154884,54.49281107951105,59.6939044864285,60.90228446895835,60.500226743427774,63.16631490208803,61.70788338685621,66.44119114046742,64.98762590031703,60.321745631582154,63.75163069621103,67.33509023079054,63.61330860402229,62.36933092824556,66.36372101549203,66.08357040231223,61.72429490662016,62.428385818081104,58.08513387260436,60.21232581957365,61.986090143474065,59.232935052456995,60.491922826620865,60.59812922250438,58.65703597090407,56.40499252182449,55.415884049445566,54.618718840435974,51.69877598483842,50.252394578315325,49.192260329493244,46.42142492319675,44.93011783685375,47.72750251656127,45.51954241661668,41.10463753298284,43.61246630304324,46.55697179503427,47.99738564070869,51.79699336176106,53.09076594206785,56.87074872542231,53.85280874833275,50.643055981323286,55.69044278113626,56.19234046076843,53.021284752485805,54.29474849122689,59.44960836406888,57.155149642606276,53.57615772562829,57.60672313302888,60.953188559849934,57.931885875996805,55.164713164755646,50.765746979494836,53.56889371166373,49.33234950014302,47.6311612192565,44.13362091120493,44.66469160330783,40.656187820761886,41.17650447386657,44.53660584757057,47.81100723640644,49.755959260291654,50.37155068003765,48.05564053002951,51.15323641443978,47.71336349442665,44.78217100382383,46.982278375853156,46.533543647189305,45.27373727251656,43.00177849312449,41.33619510377268,40.24566978983,39.15405940770786,36.434544874159386,36.832478861810266,35.33085802755549,35.51937619059618,35.87701177666996,35.45724161555971],[32.27826897096829,35.476810128579025,40.16045385608131,38.810374753151855,44.084948862226504,39.09725084469544,41.146412124336436,41.75803360796804,38.931518650323554,41.711505559029575,41.175161415831695,42.07231809761857,46.07647778310749,43.58166053595973,46.108764727433034,48.896511164742016,50.073209162625226,53.44107037417547,56.29493686429121,59.58657596417286,62.759119606529204,67.11622827603296,67.61287857836679,67.8553181539294,64.95221011246598,60.761185552528985,59.83973971685164,55.71739342241188,54.97701722287615,53.510383148227945,52.983265193359486,53.096682522918755,54.07274618737159,58.16588266131177,58.31321030399038,58.13960721864085,57.99665804091475,60.66942268484744,61.84579013099849,67.85245190499556,65.88450619038862,64.88096129640756,69.30407320840551,69.87622401301697,72.00583869081838,71.95741159287506,75.87397512649588,74.5522453884599,70.85136418220722,75.0287723388063,76.70759720994353,75.84753353972498,76.91175839521453,72.00324664385307,76.0638888568452,78.72401995071311,74.82845229771321,72.41086713750411,76.73699945847244,78.0844817194545,72.75291770671718,72.0852866920153,68.89738890222152,70.66508462346725,70.00612795378706,66.33037274117012,62.27871771700209,58.67584011505847,55.51815261332209,51.94206984124914,51.056784823684886,51.21004477057068,53.33756521682027,58.09550819884755,57.52061411462424,63.09093771434773,64.07517154166061,65.4208263543171,66.18649883222497,69.05836422372481,67.37049822595137,68.55471052195823,65.8289014753565,68.14699776551254,65.81414544922401,63.12458875584411,64.35898435184129,63.10956948031059,62.40663136412634,62.60187050645447,59.69290752798756,60.232455381066046,56.28525953758832,53.82769067353636,50.283788786455446,47.95411355533111,45.09168244959008,48.459782024630684,46.60788494387127,46.33139399141546,51.61127869556301,51.79334910326915,55.65875606095022,54.97929098160953,60.19240339407518,56.200765664068946,58.60931627219894,58.908436524617244,54.72089888812825,53.39707402959496,49.396364630253444,50.66095858208356,46.5215975611947,48.78338485061502,47.56359555454612,49.197723683640696,51.286749019771925,52.99644157569144,54.94764683080209,51.85315087084632,49.27404214562157,46.659130519829716,46.809225014880774,45.53753197038195,43.53407497669357,47.73773454728127,46.108465303352325,50.454465587919316,52.78675316127797,56.97308419761235,57.68456594052606,61.48235081363195,63.171162027343414,62.721716538051425,60.1468867695215,56.10007826835159,54.84151260045593,53.737794876231845,52.3988051183339,54.588872635056376,56.16147364310777,60.40901386447552,58.43776293367819,56.53592188059038,59.078991329187076,56.063144397047274,53.78543435727159,51.63712740989431,51.12417988929113,46.87496535862458,47.1348604077188,43.24026047889616,45.18410750990663,40.216818972368465,42.653681005358976,46.34904869038062,46.95657956613465,49.45504463018663,51.147268618223215,53.42097447904196,55.51170617200532,57.40689659620215,58.05252656585688,61.828821853489174,63.29602956119927,62.07594293482482,64.28017379151812,66.16270437318938,63.31711080405535,59.991015696716204,60.112676081929905,58.13172642966384,60.71070067565649,61.21662546180928,60.77164839602388,60.11342064763142,57.40216680800001,61.76927594398418,63.57334276699706,64.5396030045915,65.61287709943079,60.90588883638177,66.08899713803157,69.07275213575299,66.74850429091227,69.33949612832168,67.5873022147658,72.58418034369087,72.17922215100349,73.00361725676639,73.38879102384995,70.06720166850113,69.38559799324709,66.79210632198415,66.86251739153474,66.58061828400028,61.65342360310702,61.804289754784804,58.392461157076184,56.33670815413629,56.91787182497433,54.12288945385195,51.83352304951275,52.393832978660775,52.33169553162257,48.06854921804873,47.2871806702488,48.84968980543251,47.32368837757351,42.88608719301747,43.51902489174407,43.60752581150078,39.99310084379309,38.60004557812032,40.78498114207268,43.415708696934615,45.028243760946914,49.55309998981153,50.155196566825225,50.72153104121243,56.02630617127341,55.87226989997771,61.22052700671745,62.14549182967258,61.796852862610216,64.30384906162858,62.79659206525458,67.64708908989924,66.3927326083522,61.89135824027358,65.18932276958103,68.98664376395357,65.48624175708974,64.20059715004597,68.21150767271473,68.22995472279656,63.944973002645185,64.55457095788093,60.058489753259025,61.7861020961873,63.404127009905494,60.448400619974954,61.381385658503575,61.18920164263498,59.20221123077158,57.32479541496336,56.09464798983683,54.9596645404827,52.311587122499056,51.10406972090219,49.63874251896401,46.78516912716721,45.73490058337533,48.36966311141379,45.85018489864517,41.67405737935549,44.485702810729066,47.25728282882097,49.0181844055998,52.6876360087791,54.047148679138516,57.90379332252086,55.040666491756696,52.07700632742721,57.102695283806845,57.7840537983377,54.77465979909777,56.16022602187004,61.29097198111468,59.24054452905255,55.82507442064889,59.810089005841235,63.200740512292576,60.40995374167838,57.74693768682555,53.41996792928188,56.46335119179364,52.38514671031308,50.40504981735534,46.95075044379815,47.089935082047106,42.99778729910777,43.99958097389768,47.2859735257711,50.705098472928356,52.4600444497359,52.70071498049694,50.25330654613467,53.0802204823961,49.65174870638326,46.502672918200275,48.17251586631917,47.485946391884355,45.97346218609644,44.21185729400477,42.512065320754886,40.937398923642746,40.046398913959095,37.82859909030142,37.944521889388554,35.93246609458124,36.06083238419053,36.50794517953857,36.266067790368844],[28.80811023431082,32.051785524446046,36.608628471094065,35.55152883791309,40.61418505220886,35.30852626070237,37.35300093078116,37.66973295577961,34.99282772562683,38.01170822826576,37.43934131077152,38.04703447073294,42.27091348350896,40.08597068747707,42.50776662849332,45.163025631384045,46.55399877785154,50.03909838485151,53.191994721719645,56.26456953939764,59.61503956764571,63.87495196577112,64.55170277048386,64.93039942927636,61.864832414565555,57.728961345482546,56.57163398664528,52.3688110163921,51.42737181786687,49.71762673346669,49.33993987307441,49.1275927065709,50.082545814371706,54.307835392143,54.42648624552754,54.430087741493665,54.069864157906686,57.008846856769004,58.243391125913746,64.15028370388434,62.45911955000374,61.497926725336214,65.86897684282074,66.5734784475468,68.89126438137288,68.9707807703498,72.85026625142146,71.31156710543335,67.65417666817294,71.80514573978317,73.29838614961591,72.29835168634385,73.31803899939433,68.3735346591749,72.28993920264396,75.10068135497329,71.33031953047981,68.74246858845945,73.062580042077,74.61832490887535,69.34544119743632,68.64751927908694,65.40052316607284,67.4234276082446,66.75697518824764,62.93213724494364,59.13937643428178,55.38180311493697,52.50403561940055,48.800511294761016,48.14378493931183,48.51460051066886,50.3536661914063,55.136734234959604,54.23268072258475,59.77823937243744,60.60563771557423,61.806843830358886,62.48491721625464,65.35030709946933,63.46603940116747,64.654483005956,61.74893404764227,64.13211936856106,61.9586429229546,59.22532748169731,60.606688212241586,59.15440401186883,58.723544999866355,58.798171294012946,56.073982014742704,56.757962108866174,52.75161995486532,50.122040800273574,46.55932223304151,44.30226533437486,41.43994995300738,44.47386228783196,42.485502259137895,41.93878739246541,47.35700969282805,47.369774374803626,51.39721530508905,50.643940697463634,55.94285151673979,52.00730336869279,54.36052373621831,54.814278892393766,50.67701708990642,49.209852989901066,45.34330649144937,46.71378471928374,42.633957580335135,45.13042662287511,44.0223529611221,45.901203024733384,48.03129772606992,49.99514060476287,52.03472212046168,48.69937713906491,46.27072444733027,43.502083828316266,43.825368582995,42.33080333310154,40.10423357278147,44.289912653157984,42.40110602059557,46.73596199660477,48.97031577667517,53.025202686971255,53.94274873955103,57.608265874925756,59.41478261840946,58.760577596496,56.446171206848085,52.44925630043028,51.40943735627512,50.40172819958191,49.253228129632355,51.33264256107135,53.25065631605866,57.46980060439724,55.33945155580292,53.28044432178929,55.681050277227,52.50086378702218,50.254320128877715,47.878771437695775,47.19670020180131,42.88166873280172,42.920633357504585,38.93755145279526,40.67258281125952,35.612106277460825,38.15430514347154,41.91114668263211,42.70212176659563,45.14960469236925,47.02389126152154,49.299258718753464,51.664966728827004,53.610195579681715,54.52598159167445,58.167588460278004,59.72865194321968,58.80409998311127,60.87238040187233,62.962335988725926,60.103207032153335,56.79879433201275,56.7186832490593,54.69078401759445,57.04001838136585,57.392711363618176,56.83317285991835,55.994431681734184,53.33327509824774,57.5457360843099,59.52093128824348,60.40404549428311,61.680914446160116,56.88477717198169,62.13384007727961,65.20425235868001,62.986208590816766,65.62542934189065,63.95979317797543,68.96907523752847,68.84004381351859,69.53220140725553,69.96829342017459,66.52588597360715,65.86709997773197,63.231653744833714,63.241933185251185,62.96110207706362,58.06599322666065,58.0969018609388,54.74223037809685,52.470333202087204,53.06371849606294,50.08449131417716,47.903158072468806,48.693723990662896,48.48286416552657,44.15981833699519,43.76342690537569,45.27307462136333,43.45480678980701,39.198510143336186,40.080580323012754,40.08628570169306,36.277818878883004,35.220023294308774,37.650418891009,40.342173907674606,41.831129399844215,46.66594773991904,46.930731397875405,47.43152974069351,52.733072989478295,52.5263794668841,57.81188254517471,58.52399781535197,58.06382281639122,60.41651287480097,58.77725422867352,63.69006415885627,62.621323614021,58.12679637581892,61.28864506618064,65.25217241144178,61.8965044655651,60.51338042492268,64.49344610474866,64.77253163389373,60.55190524684444,60.99762347790105,56.44183093843836,57.868769891191675,59.4202668493421,56.408487433282446,57.15289854104763,56.88740391663425,54.81457383328894,53.10535091209438,51.86424371919222,50.55783967717949,47.96662806410141,46.93647632408751,45.359424820220084,42.45001261559322,41.60677532429516,44.29285484358192,41.68809833688617,37.56970691267171,40.62619235320436,43.41348508967683,45.256374423068266,48.799351282490754,50.050462765540445,53.99711544312593,51.34538715681004,48.37639834262991,53.329790594067724,54.231317590031466,51.32619539741199,52.631594269173235,57.815052623542044,56.03820321198022,52.625705964961725,56.48297149528701,60.00801286526725,57.46619094015345,54.81354767287263,50.51797587652758,53.85860323742602,49.90321560881037,47.817668304558964,44.2622942395087,44.014081869859744,39.81088820050795,41.21456410222076,44.37763717991877,47.92888836024053,49.45310697146693,49.39890198626692,46.79079347483055,49.39888780262382,45.98464549552281,42.71553451294781,44.06001906175741,43.283408129338625,41.63083025053229,40.12475872637191,38.46057253199288,36.644838765853244,35.81730208888082,33.897972537708995,33.9302762310451,31.715471659588246,31.91763067468232,32.51461692534386,32.46805836978684],[28.831148129557988,31.729223477984295,36.03932054775558,34.32776672044595,39.217239459820696,33.869979427743914,35.49466641677066,35.94213015936,32.78659915590214,35.346593867982804,34.598623204721015,35.551663647364116,39.56255031272731,36.98764671039624,39.357793519621794,42.1979488811752,43.46155200920384,46.72272764835137,49.62259541285494,52.90911880491858,56.080150118726635,60.43081290971067,60.99465885035089,61.348831247039854,58.44824048576669,54.24130903014975,53.343195625403474,49.21448864074718,48.357565003142824,46.904724318282916,46.17952732243133,46.44185494417516,47.37619397225535,51.39650345393631,51.591547615934,51.407668487068456,51.40142844020033,54.07682468210142,55.364424567450406,61.41954180355398,59.48827300263811,58.29743652119652,62.70197582008696,63.38611225393954,65.52485880264399,65.60829363465376,69.5002512536914,68.12376440938667,64.55976773872953,68.84542534491754,70.37249476279743,69.55773349282104,70.46608734537513,65.55324060332796,69.56011987177082,72.1292952782093,68.2209126979328,65.75630055172365,70.03675891715353,71.39036906030891,66.02661212911086,65.2756660297274,62.063228143518934,63.82917264447693,63.22667802342321,59.559681668328,55.49897398048812,51.87061864835648,48.759617956485144,45.129567979922015,44.30318939300575,44.46851018067729,46.504886684543386,51.28037754749306,50.658961662332366,56.21657790176283,57.22947579869372,58.57377516874343,59.38457857835517,62.303568025870824,60.70663384682379,62.005354568339264,59.39950221233243,61.827486334637435,59.46473174878753,56.6551077146221,57.739953937125364,56.48484956915968,55.65391233462816,55.81483248221684,52.853338059932256,53.367778562636786,49.427973524559484,47.01000656255931,43.473662235190226,41.12375963301887,38.268596191069825,41.77151793335417,40.04701717915733,40.05003676128162,45.18538077580226,45.717188103096014,49.386137629243464,49.050420183815895,54.36258491577425,50.5557932347401,53.25478244185813,53.71722482846501,49.69005121438448,48.10727500690528,44.10625980138187,44.97803675775642,40.68073222713016,42.856041025258435,41.31652746734498,43.04199357727054,44.922115541077304,46.77521113074831,48.48207050959163,45.26952203899499,42.7897693519015,40.222149839436746,40.675929549057635,39.48519200533934,37.604743846302,42.04182711697597,40.75827965237679,45.008803088508614,47.54296578593923,51.54953299965584,52.62509163849025,56.44022701306426,57.91991802866925,57.24982145922779,54.702900073553955,50.536957200655024,49.68880723369551,48.24081402368692,46.77571487347778,48.714777532161676,50.29024127393519,54.38179660280392,52.19866617720393,50.353881514393706,52.78761634032367,49.6633954402796,47.509009105700045,45.34978351772546,45.01121450352622,40.77923925577541,41.3071017990628,37.2757414032839,39.4520754778512,34.54473658807914,36.607997717045535,40.25486650713324,40.69930519841601,43.425344171758304,44.8582644811152,47.44250111549938,49.48366406245646,51.10338525875477,51.92906692981852,55.603006640213735,57.321138563538064,56.31615672481479,58.685358899036274,60.73774820305088,58.102199114998385,54.618698023687045,54.67552791089375,52.44680848677037,54.84544474396698,55.20883279293421,54.61422214181106,53.984506816140474,51.07397535627739,55.502128244536614,57.30164260213926,58.42224931732975,59.55549149436001,55.06608866936633,60.364845289769804,63.379832411056796,60.98530036136514,63.2988099595285,61.374187582880005,66.39061297565699,66.10555481141245,67.09317774584251,67.66959225917617,64.33802697780908,63.9267550238826,61.47168847223953,61.71060640830512,61.701167939958886,56.834045321896994,57.18155305237444,54.03568461287251,51.76699719923168,52.810147445814316,49.843192532312536,47.36861666179086,48.42457794461142,48.59658094190916,44.09101480741154,43.45490797903019,45.45966358896695,43.96738138482802,39.328258012130206,40.390740124565454,40.84528392171868,36.89091056660687,35.55573845086951,38.440277071870526,40.8269304335717,42.94486798496584,47.247062328627216,47.517995741703814,48.409017364269424,53.74196874947093,53.943295780957904,58.94363147605176,59.67419263052997,58.89808674434158,61.15489575740763,59.217103480460146,64.12065202739193,63.189715111156836,58.34703914161398,61.37172073759204,65.417883160422,61.969401187265596,60.329296155379396,64.16046789276346,64.56095108094324,60.302062264647084,60.31583719620114,56.024564926877645,57.33800221440001,59.15647975136456,56.45987202277209,57.20210744503058,57.298704231051076,54.89145927765649,53.071044091843476,52.34959037505356,50.991779807776474,48.023667097698514,47.251657180777876,46.04543351278895,43.05545386859142,42.11255294230305,45.262107151555384,42.86627981078742,38.527200933879264,41.746505400899586,44.821012368227784,46.40123291069838,49.87765520427185,50.757641554372405,54.83431360339613,52.408097456193936,48.9927987696505,53.83370828885252,54.95133517181919,51.96854279807403,52.83662719776179,58.255315389150056,56.60593649105991,52.82225601902292,56.468519919079725,60.28272240515739,57.775078206124434,54.87611450637738,50.420302343069736,53.879797603187995,49.73984256916345,48.11514453903377,44.17184067370711,43.969724194043245,39.555527700941155,40.72157202500931,43.797989154588656,47.37915071990169,48.767538536343416,48.96141289890783,45.94490323246571,48.536957575996276,44.75910804406027,41.92303167131322,43.409717583340544,43.04190633472734,41.095593484253165,39.333519253169115,38.226373198100916,36.545321848066585,34.99308950351765,33.31768435798718,34.02188527391997,32.1454741234687,32.630918068904506,33.39527027309507,33.44232538504982],[33.670853360550716,36.61176175520644,40.962070851306336,39.2073669843256,44.10557816216026,38.75743013761709,40.280862113394875,40.652454937038165,37.361143975395706,39.74623712676988,38.782945054556805,39.72200920091844,43.80245476489534,41.0923105010098,43.20902016971506,46.149635933823184,47.52030706732009,50.55003361968452,53.32135659307057,56.7444090585866,59.774856545674666,64.17754248385863,64.6927827011647,65.09981141803127,62.345447512343426,58.09084417887629,57.38781193322113,53.30989375895493,52.39503977079072,50.99691804830576,49.839152863381486,50.35704318554619,51.03157090250596,54.91715257334203,55.37591866821643,55.25937751298683,55.467830520104854,58.163617132175204,59.56970968857663,65.68497208049972,63.70688580126213,62.290133656364894,66.6859641787925,67.44064357224414,69.46463306625444,69.60136248694964,73.48656214559314,72.19269800758725,68.74572783511158,73.11858280734727,74.61637786567726,73.89326728309457,74.67277970755623,69.77662947374894,73.74338077714377,76.16553313902213,72.21228769896969,69.72306550015755,73.90861850125026,75.2224126953106,69.78114626500869,68.83753504576035,65.56407412453886,67.18231900168888,66.76995772694607,63.22631042529514,58.97236196304171,55.41471734484205,52.19264646702394,48.55530570552137,47.65769117064869,47.49716012931569,49.61336093164091,54.41705651879058,53.97131316679207,59.339653023322015,60.6819082211813,61.93460100512607,62.99139084320334,66.06688313716798,64.62809353639491,66.13050686366849,63.6244912279085,66.19363126607648,63.82662639496035,60.89597401818423,61.78959559583904,60.46880426835329,59.44512625021454,59.37865234068783,56.30723028841248,56.499631639743555,52.62304549070314,50.32127759116977,47.017619782979445,44.43462527499318,41.83461269821314,45.494317075943215,43.997202216409235,44.02285469735285,49.23910746058937,50.028498345941586,53.678376499431195,53.57212512474682,58.98650255710773,55.2777984236234,58.03448848811774,58.571773590218854,54.577244120972516,52.92608119211302,48.958312339436254,49.73756874476987,45.39093443740916,47.4954107452899,45.74521571736749,47.42954495573729,49.120005780625746,50.92893211278202,52.31934060889145,49.16329111522702,46.706668146671234,44.31329176622476,44.909607934464,43.90688890683295,42.19549445593849,46.726017248717014,45.604129664748854,49.827405503874836,52.41137258832854,56.376240684018086,57.516782005716266,61.336399493360794,62.77430651209143,62.05815350395797,59.5067952801532,55.30236386599001,54.51264981416462,52.9445226719814,51.35632111483691,53.23080959775379,54.61194437703789,58.613931259613985,56.385535212875205,54.68063285356415,57.09396104084424,53.949331177563494,51.89312261596819,49.78332434583037,49.5717796630068,45.35434183891335,45.96277260283121,41.81279803777832,43.91275567127783,38.84730353320187,40.76354298154702,44.51679574591528,45.029314502131164,47.91161699222808,49.240116331463994,52.046944441634196,54.08322606826704,55.51357370629485,56.40547271244567,60.04233711609138,61.88652435018752,60.87774506511582,63.364296599481904,65.39261878976424,62.828808081446894,59.294905990639954,59.408005777230734,57.111555869708056,59.49227912417462,59.80773719905962,59.12714537894297,58.48628370525651,55.43095401742452,59.83215686753373,61.70748687791413,62.9213365179678,64.12600935995204,59.74520809418645,65.08963796013944,68.11309129984554,65.68416187482143,67.85271457492476,65.8021049288052,70.81922324427453,70.51054313476052,71.64416634781855,72.29063044574681,68.99548560700237,68.6794228605901,66.2751811171795,66.56433215541226,66.6010108335929,61.73751346188234,62.11237680006492,58.97196537327744,56.69968783767359,57.728630616239535,54.73918450812231,52.294589007578644,53.343506578772995,53.470107295813435,48.983750562987005,48.35947050150838,50.308097766490356,48.7570417160316,44.18734432562262,45.18975920336038,45.551647325900014,41.64465799813745,40.32815779591665,43.05710855203619,45.50773920633688,47.493194694162085,51.86650543977184,52.22923107847545,53.03091260706722,58.3614791452545,58.4244376966494,63.54694914750983,64.2904006214876,63.61806937651274,65.89707829607103,64.01682981976869,68.93298357367784,67.98294982899124,63.210512379694265,66.25144283313212,70.29118365315071,66.84866406210519,65.24469658360613,69.0896874409471,69.46040894601627,65.1921653046661,65.24681931785726,60.95158978629874,62.2644740893114,64.06469371212266,61.32547346664414,62.01807006275729,62.01795791646562,59.62749365866701,57.90143233710354,57.0813812020228,55.649541360635595,52.78531495951071,52.039340393663494,50.698651826605676,47.70389804048519,46.86455931363236,49.890453024371034,47.38556536808317,43.14654562117296,46.35080448749075,49.316263281049025,51.008229782867645,54.50413552183272,55.48919951237145,59.54170738126775,57.05133812109238,53.762666890953604,58.63693715517716,59.69171903536035,56.71328356578237,57.682976122583966,63.05504704242565,61.32633604527151,57.610773677399976,61.318047360313585,65.06346998642366,62.47869376770948,59.6143082175243,55.16628294801256,58.51008547230379,54.33986126479532,52.6862043722083,48.83525268407964,48.752425589667084,44.38516537994743,45.45394652930378,48.58184225065958,52.12101230446225,53.58887792813883,53.84305148646464,50.86402242228289,53.47200548467194,49.670725350595276,46.85955687283139,48.30084042853768,47.894043573103176,45.89051801254236,44.22638083441251,43.11362274712818,41.347988001545815,39.83301572756397,38.246361986234994,38.87939304388845,36.86792130228619,37.264543513804576,37.96048264282421,37.95236877712556],[33.351612219854445,36.6097922557233,41.10611596126053,40.07618459758171,45.023078929022475,39.54028736313782,41.41186171471368,41.488283886669585,38.6650226046987,41.56436882360211,40.68946948818659,41.15421320851185,45.58415195163925,43.36135844746026,45.42526508133138,48.15409559512156,49.789440174884184,53.05582537161397,56.213047888083075,59.35269368255263,62.62903142433688,66.91442208775582,67.62324308997574,68.14140559544401,65.16755303631308,60.989460641004165,59.95164687630593,55.75801252979018,54.63890421998476,52.87348237266614,52.02457367024964,51.973700570100654,52.59555582509818,56.72761361532227,57.16043214621017,57.33695530903451,57.1403742933586,60.24371615234987,61.66314979555884,67.60946022238694,65.99578028306692,64.76808518288637,69.11080471165225,69.97544333392682,72.25319625448986,72.47159013174725,76.3287119413691,74.77407360702846,71.28285504376932,75.53838060556498,76.89948601352613,75.93800182936225,76.7726351725872,71.82351687412546,75.61818508640553,78.32733140682274,74.55830190099445,71.8442872855296,76.04965530964044,77.67250148896512,72.32171974702813,71.3636252702752,68.00380503021991,69.98275554466304,69.54607683144066,65.78688532341599,61.88115946097682,58.119969064641424,55.24030623547637,51.44968194498604,50.82133742178789,50.91286290542008,52.70399861781958,57.549147302866544,56.686219899445234,61.99998034414104,63.152596871720846,64.16842473340492,65.10810424813653,68.17117765519666,66.3825644206964,67.83364493022835,64.96120623826958,67.56279854228171,65.46152674744228,62.54298642814023,63.756588823340316,62.11635086496812,61.57845298669443,61.30889377426402,58.53616688095819,58.899332112930686,54.930804266603474,52.348948949747836,49.052663433074216,46.536893254137425,43.976114013634835,47.05695380060255,45.28673744914016,44.65690189333047,50.24466984332263,50.52176526416549,54.596590643246074,54.11746559917022,59.59778995323069,55.82272304466645,58.24208334604309,58.876106103723465,54.81576264300075,53.17434207941156,49.414408840140794,50.684699381663904,46.55039788186572,49.06399373913184,47.71730441961562,49.67258275419808,51.583646798677044,53.63006618957361,55.32154844316123,51.918462248929465,49.585616458806236,46.945984730193615,47.54535153205077,46.17811373612815,44.06072587875744,48.3882552811977,46.60970748469893,50.905220132792294,53.17519540685811,57.10519218154466,58.22611515801307,61.83607122675423,63.63460737191248,62.811062268423456,60.61539725995028,56.58181636556105,55.74384997916461,54.60530920634438,53.381301395063794,55.31803570118233,57.16553476468127,61.26621823571618,58.98638681167969,57.01990349017917,59.326706380966264,56.02737895939494,53.91770601146901,51.4887029486378,50.89528110078971,46.55945541410369,46.621275127340226,42.43075554624486,43.99339911251609,38.69771154580362,41.067306827624535,44.98615442352505,45.93875351245714,48.580056250042155,50.394007684826974,52.97454010768988,55.46521273862482,57.185615198848176,58.32670688499873,61.85913989105289,63.63878780477824,62.862300333244114,65.02221390151708,67.1946858776393,64.42533202853356,61.05503315909287,60.94513478264217,58.79200429163322,61.00185386919927,61.21342156946117,60.48189948680977,59.54226851726182,56.70847718715068,60.820339224369675,62.97787475873374,63.946404189810075,65.41791963969428,60.72008489475479,66.0693927581053,69.19741688814621,66.98291373639246,69.45486247862483,67.66538519641071,72.69301293183746,72.67310618346933,73.4889017775147,74.04620752662342,70.58564236303397,70.06903918685519,67.4801989312322,67.53297269449382,67.32488656837117,62.45277926537849,62.473582777882456,59.170455953720484,56.780553230881125,57.392040115663455,54.291541246905396,52.18844932717698,53.111770190025155,52.79252199701517,48.45971957874257,48.26326284601941,49.71031342458734,47.69485720466828,43.6087865977517,44.55788951790887,44.44123062234003,40.60137301713047,39.721260893083816,42.10893911617106,44.87125245825589,46.16817950743922,51.19334132774055,51.40085062769589,51.77801060256362,57.05445742507498,56.667167089450125,62.04043373969173,62.65141885822867,62.25269068061864,64.54061001526081,62.89357148673522,67.84454211648607,66.85850466460424,62.45090910593275,65.54787718057005,69.58759982090082,66.31962861209516,64.91979053148998,68.88781292618955,69.27140308685303,65.0774471348962,65.46532479563362,60.89241985786676,62.14981407151781,63.655932824332574,60.58246089194364,61.159789102868984,60.74887457068244,58.63756288087137,57.13832422395499,55.80190009862561,54.306251264376876,51.862249472260444,50.98425095342025,49.206273540200975,46.26705838029183,45.66665745792992,48.24351451723803,45.480238083497895,41.5338470822618,44.69617773430364,47.352585391732575,49.35607167715086,52.8333944144254,54.13349054957663,58.08976943849454,55.491616740213395,52.66873458335555,57.60117780437469,58.54856008623422,55.7102465327324,57.07233003427202,62.22344588756974,60.500780328413256,57.164365474397364,61.0109909671272,64.52521621261211,62.02380135721365,59.41210457023972,55.142071306546875,58.49042139025286,54.55649433498577,52.41436154283402,48.906158962850235,48.61361271356075,44.405894957504934,45.86832237065307,49.021113056607916,52.58681671754169,54.079307129910354,53.96635227311562,51.29298786396957,53.80198448214905,50.33771793560494,47.076210433577614,48.19918152118817,47.36078768661243,45.53417611092514,44.27105627897709,42.67853945857512,40.64275252435554,39.82053218377557,38.20822612121881,38.18571115273194,35.737531896163745,35.872532459746644,36.4645285700096,36.45352895639234],[30.329235676212505,33.43503259209401,37.60663902937497,36.62626513140508,41.177508709983414,35.31349333344273,36.928271036526816,36.65399695318933,33.77300626326306,36.70446133961734,35.63979965199179,35.86997742285261,40.499923539753496,38.477800410326644,40.30219830409822,42.960575107315144,44.839383252765,48.088000094604716,51.47298114034773,54.4534608898557,57.83490247954689,62.03977850186861,62.914341987882025,63.597094300424004,60.53483606801512,56.39293588390065,55.22316009218255,50.986413357506144,49.640012026957365,47.698644233404956,46.779483336118446,46.588047481589385,47.10922847338581,51.285146161274405,51.776054472371925,52.10697961698042,51.84730475130365,55.16499347366627,56.70547315713228,62.595885196834345,61.20878576669102,59.88461823147483,64.16713679938924,65.1977429312638,67.59370008476735,67.97671008449092,71.78014558932031,70.06268555068392,66.69818796958555,70.98977286401043,72.13277002234014,71.10639966470677,71.8103607337672,66.84229489629452,70.48916866427132,73.23645106257374,69.55528219284615,66.689988201693,70.84436599453487,72.61682126999223,67.29089017474827,66.23688210648697,62.810382007848986,64.95940108139064,64.57832954441648,60.736156777791756,57.00168361649659,53.125853592897805,50.47885879344104,46.56802716232128,46.14203194728967,46.34809148860915,47.87263036111176,52.73968854165049,51.62425260241825,56.86742705210399,57.97165294578281,58.85164430780391,59.79174902642893,62.900563545298134,61.03322963329421,62.58184757123452,59.650897585321815,62.382019272645984,60.392274200560735,57.36223753022961,58.57831481778965,56.76211912259025,56.341912724405795,55.91050538326607,53.241325015087604,53.642435652097674,49.644195198049985,46.96387320762889,43.71175224953277,41.19335996000173,38.703247405448785,41.59557861667886,39.82977569013454,39.11263977779376,44.767174021663465,45.14129578631404,49.243165784996854,48.93049235541252,54.543302728208566,50.93500737942013,53.46251060655653,54.31146136286247,50.39097959433763,48.49877961535218,44.86815120373538,46.00082696173296,41.84361467798437,44.47552675293644,43.02152293768944,45.199171059683664,46.99259487558493,49.28941141385224,50.86264327658633,47.23633847907645,45.088714435809834,42.400071842708456,43.311559979186875,41.854634759298754,39.67072959281414,44.08951179880336,42.32410197251101,46.53171615014585,48.82339547158423,52.53847970841005,54.004696830633094,57.51131299017776,59.28142999197011,58.188568506907195,56.21063452521233,52.16503678142373,51.70843881777163,50.45860789237206,49.30100833222494,51.00994462105436,53.076541888162595,57.046188504230656,54.543827797705106,52.51825798917391,54.64895955681154,51.17445714424786,49.17794828031725,46.58078494691354,45.96697709467191,41.60526632260748,41.63794589028601,37.285586977541335,38.762872589521564,33.37980328461753,35.604091563394924,39.577284443479755,40.621313386658066,43.369627898604904,45.1757606939972,47.9594324365067,50.637244153831055,52.216021254992576,53.66796490129679,57.02722590371848,59.021563677594095,58.57423138798828,60.725607127877694,63.121490377966076,60.46597473488884,57.04125397909277,56.75971817659012,54.447418541249725,56.38207779143182,56.39546069798513,55.48499590609086,54.41617447306455,51.49658747309809,55.50330930475754,57.80713579251866,58.80433884681627,60.47639678593457,55.84946546934245,61.30232842503749,64.5054776024232,62.33593869445098,64.67539848409594,62.84786248931245,67.88133202335483,68.12447293026096,68.94317196582472,69.64087756506038,66.10363918558103,65.75346734616363,63.21769473647178,63.31682476381986,63.25132151753692,58.44918249454746,58.48274638536928,55.36644712036297,52.72089983738255,53.56553865732626,50.25045886737182,48.15255565581794,49.488803135476836,49.16949301480847,44.698242440657175,44.86522561057467,46.47225319333224,44.26039435238645,40.25173302986205,41.57808490837329,41.56735556107199,37.45795837544945,36.86601896724934,39.721563506726454,42.392491259241176,43.81998391636962,48.9237545302453,48.750567086526864,49.22608090046141,54.48508525829002,54.220121229117275,59.37120667501052,59.736942809747795,59.064254209635784,61.11221103945949,59.16914562633848,64.17884139912776,63.48613126190315,58.941000656424364,61.7956413425848,66.06364804242568,62.936452899779,61.30330395208865,65.15112368000196,65.90138032638599,61.77614457477941,61.761969243039374,57.26260549620478,58.089876829744114,59.639968563728274,56.65723342266768,56.98725116744254,56.6510818209317,54.2683897031468,52.95063088204516,51.84951072023521,50.098563413423435,47.563940175886785,47.05457694865008,45.30413696144791,42.26333100997807,41.90503139318006,44.74460886823708,41.97310750109904,38.03505164356426,41.56510336908192,44.34958974798156,46.32966458111949,49.601756188938424,50.59263740865542,54.7048177536839,52.47816996420656,49.46160702369412,54.2317121623136,55.53817222246275,52.80095264577898,53.86028157456952,59.160394872831915,57.82032060648326,54.331987161559184,57.91536840280589,61.70534655038906,59.5102805269905,56.80889547836467,52.52218520076576,56.23714632720709,52.37435442300477,50.339935117542645,46.56631710771415,45.861728883202694,41.460884078428045,43.25851117654702,46.20685707779096,49.910794588469386,51.06829558245064,50.73390829143026,47.68847099931758,49.908369224534674,46.29756157890938,43.12431925321569,43.88536595076977,43.133626397401486,40.96765452280582,39.94080460737323,38.68744931892878,36.39698646684067,35.300620940815755,34.249074455968604,34.44182253364273,31.88746020213785,32.22666612189012,33.06963676995855,33.32215840222494],[33.465253351954296,36.313452579354255,40.138911749072165,38.86240403259019,43.01050847002729,36.88268154024431,37.97445481939007,37.396092773524416,34.125770299484145,36.64252020041247,35.09669952454318,35.26125816995991,40.01081750187023,37.85182600844382,39.13282289357905,41.91069584633202,44.065114443807744,46.92359414005298,50.252675319053104,53.32290868283161,56.558701378852035,60.779146464485365,61.69939988915081,62.579060117725334,59.67274642132381,55.493399692240864,54.533562155319174,50.362101533844594,48.7872737668839,46.870018288367646,45.23664336416119,45.42501172208582,45.535841488845854,49.485050129539786,50.37081488390596,50.840256317554946,50.92599925409104,54.33473804713572,56.13429569170514,62.088040888812195,60.74836029576503,58.99661663055847,63.21388546017839,64.461238562489,66.76520520293988,67.35592482279357,71.10315669490973,69.39182697073713,66.31020227834632,70.77753180276046,71.70755330781398,70.79869327523704,71.1962140720588,66.25980675117388,69.74991609688405,72.26655878040201,68.56718143686065,65.59044219725597,69.56933095436645,71.35726122895795,65.93783494415352,64.55310763656644,61.013822722302905,63.045408199343086,62.96082483108619,59.252856737374124,55.354881845711134,51.51353373874803,48.86579056301166,44.87522476921744,44.489662320787794,44.346142843426534,45.78083530038326,50.68599694943421,49.65632349639597,54.600749225448745,56.12058241348121,56.823094806475495,58.106073507262366,61.453940841720616,59.82150258903286,61.73547516021418,58.996480114029474,62.00861691280439,60.04529696509579,56.75993491254562,57.63138632940933,55.668857722599284,54.96506307086927,54.157247043981044,51.362863699696206,51.34777149184487,47.43298113128783,44.895966914088774,41.98913128847811,39.15885718773428,37.060909509017684,40.15739011997678,38.79991752510714,38.29798539011248,43.92736237794701,44.92199448176641,48.833365852215614,49.11717775389374,54.926976500587735,51.64842211239099,54.46670871295908,55.573062570599525,51.87577234874939,49.66717394798436,46.145972181929075,46.83165458169533,42.53453720376744,45.02571405313441,43.06758157211002,45.3127877644559,46.67824940548894,49.09096330592895,50.06404457747651,46.362869612646065,44.396052815871634,41.95519621175045,43.34992141268224,42.159690116553726,40.269435658376906,44.9450233606863,43.64435750247208,47.68270376822371,50.16332278034743,53.6130437936929,55.49431746304916,58.96793346406557,60.52278795223677,59.1524477229482,57.26159529839651,53.11018486848263,53.11539361681076,51.463906668758554,50.10181361479073,51.48140296668029,53.37456032728071,57.06953839653135,54.307705568009666,52.480225266783826,54.43966910535388,50.82510306655472,49.08575947225072,46.50493625880261,46.17154962322657,41.87404120189556,42.19582438702157,37.60205912108614,39.11116654932288,33.63392070923315,35.27909959967292,39.32678850081872,40.354013965997005,43.47898757990137,44.94280164322004,48.27078141979225,50.94473650385215,52.04013530281131,53.79209064030621,56.95987611500426,59.3415120965741,59.14000932097951,61.52858216760234,64.06626113030366,61.68295932829324,58.09556691289965,57.788182665886445,55.192845365279425,56.88710807301251,56.681967752076,55.50940375908337,54.41206507988643,51.15992557925008,55.11677413945349,57.549040220488,58.77499201663312,60.63567264397759,56.340210912847226,61.92944884010831,65.16988961899649,62.935019322042756,64.85757586123312,62.756471881214296,67.79354097283169,68.17281895900611,69.2706078296557,70.22181869059473,66.71392254013153,66.70810071230349,64.35392310979812,64.64224277086856,64.85434316413046,60.1458450150614,60.35305152360932,57.496292837679896,54.65704335162792,55.86281781029617,52.38204480709156,50.20579393275803,51.964830900814356,51.76733280359635,47.16441984269307,47.51287115593277,49.388641839869436,47.13093596093992,43.11705851859541,44.72792580295865,44.899691693728165,40.61920737520527,40.1315458716946,43.34165788773297,45.860013160317486,47.5106579076307,52.486407048815764,52.125136949127956,52.74778077694509,57.97730241608413,57.83892728920215,62.800503677509006,62.99483858992757,62.08678633338966,63.9186350930405,61.68554459848224,66.72635755089273,66.30781891717398,61.601257487621595,64.21057340756246,68.67116828466635,65.63563547651322,63.75332282174918,67.43671312949806,68.49965465608199,64.42246878117983,63.948602783878144,59.63540387681762,60.06396869978617,61.73571162663314,58.93220035277961,59.008879257487315,58.78720287193999,56.07595330994158,54.96607775736665,54.184835566465665,52.14302304809358,49.504116617610016,49.43210002871344,47.744448573817564,44.61916829517122,44.51231237789535,47.59912415553896,44.83291939167413,40.95276075558967,44.767698880699335,47.633359966349225,49.57734823345459,52.65965305646192,53.35509827465541,57.589376043588324,55.69145723307958,52.487983733655,57.08753686925038,58.69079739426277,56.01717163848993,56.75818713600738,62.19907049485852,61.132478781918635,57.457397411170575,60.79631758259049,64.83453974717081,62.82324767405573,59.99449807796649,55.65042111226183,59.56325034156697,55.660633481509215,53.87605420345845,49.849454736515,48.98085547133269,44.42087089709688,46.255827457227916,49.05035269848831,52.81337260111009,53.73404159525442,53.39549014715716,49.93960414384239,51.92823123997576,48.04048885333037,45.17846183335869,45.66696825152421,45.135811425434895,42.53045486773497,41.688203765363,40.961247463477385,38.48199137726995,36.887056905322176,36.47834597266469,37.065239985967274,34.50515987819267,35.04063912735799,36.03324933577239,36.433704359669434],[33.42078313570847,35.95404217536065,39.45390395673376,37.805849684310125,41.6284661536855,35.431508667671515,36.10353863024471,35.46745773965433,31.8667824507172,33.99399324134881,32.20416714599807,32.505913097643074,37.15284595984785,34.80306918221702,35.861511500393405,38.74291776501652,40.922830471396104,43.55213019990865,46.76889045117182,49.92762944746589,53.04814441149674,57.29468897375855,58.18996663033902,59.13359009792343,56.33392840581628,52.1332550296905,51.3289021564053,47.22200714608166,45.60445964912476,43.81381029609859,41.82636836867014,42.34796730390673,42.356184377237305,46.13504155538305,47.140308607502014,47.548956966782114,47.89723459767103,51.19617203292994,53.09382529102937,59.11155240803165,57.696295184280025,55.71981802824466,59.91942895589767,61.2287607498997,63.439474257828245,64.11311694344639,67.83368741815292,66.17130262746032,63.23592882145005,67.79998420800054,68.65920728372652,67.86159197785683,68.11371687355884,63.210007590976375,66.6879445836025,69.03032573093822,65.27400853151934,62.32227241699545,66.23313624337425,67.93686338556299,62.46261543975532,60.97409965922858,57.430593443311366,59.32788270618134,59.33943575666585,55.73228093818444,51.70020214213391,47.921327753411084,45.20503727284878,41.22257394412978,40.804305872415746,40.50296127530748,41.95654220946144,46.86205708861731,45.952914994202814,50.83231040326704,52.51579836576167,53.249834913701235,54.662498932810266,58.082433783593444,56.64882006386568,58.70095993592331,56.173765809760425,59.27249047639276,57.23119670350631,53.8455268534738,54.47782898075603,52.58061470087861,51.61206635636208,50.76741465315095,47.83218392996092,47.65723420151519,43.7936581766537,41.39615489460608,38.582040915384226,35.64307458508952,33.65038272487079,37.03006877874535,35.9287147483174,35.81954825512097,41.228120436713596,42.67794518167997,46.30274814458511,46.98055543968722,52.81797999085093,49.7265819916504,52.8066584401782,53.992409507600854,50.45201418090597,48.090980048979134,44.56572144386095,44.83999202222241,40.42713524233615,42.705942121770015,40.39140331755999,42.60019679785545,43.69493047031307,46.118790139350075,46.74723678478604,43.06075208095672,41.16628438350739,38.897598311359964,40.54442760926408,39.566295302444196,37.935603244775024,42.77175054398857,41.918617338585484,45.814774462551824,48.48456397353688,51.78661563516666,53.88970593073587,57.40057069712271,58.712018271181165,57.23892315848454,55.28319707816209,51.041937017968685,51.32629477803212,49.34323557085827,47.79580428513633,48.96614313885,50.67991051393487,54.1949745525743,51.31312536219258,49.63904754545936,51.529714795635954,47.89884639259909,46.300223160648564,43.826823874741,43.74832443300351,39.54656435917985,40.21058125103993,35.56131816386521,37.32733194517551,32.000657435137704,33.16337726888167,37.11780294445432,37.92278831588883,41.28622839402828,42.396960764421436,46.03096503804959,48.52886527067576,49.305159518886356,51.12128394385879,54.21647664123608,56.79449250971165,56.668735512880694,59.25240132525587,61.831620997310154,59.65999265516404,55.95450597454188,55.680733327169555,52.901878331676386,54.50685706507871,54.22739764272208,52.95707647136974,51.96225088977897,48.49985992273278,52.544049753269206,54.90411089499444,56.31329330961487,58.15013645357622,54.129407613895474,59.76149053929775,62.975034918914865,60.64560726277654,62.27093020039943,59.974285192993875,65.0001889272806,65.36792947451329,66.6784634505314,67.78004543960584,64.33638761118341,64.56848490682093,62.37077670845116,62.83078166857767,63.27338619769214,58.63912665872644,59.06007198121797,56.42341044670576,53.525129499569736,55.08974391776448,51.578363396715375,49.23377937081252,51.278930677391436,51.32663912703964,46.61326125725695,46.9183684568046,49.13007691491501,47.043626055038,42.86270029161469,44.67089402010213,45.14191165354844,40.75614971872098,40.188060802441306,43.74581384767216,46.03194851785795,48.073174917565865,52.70654112464275,52.25031588335125,53.13141182481202,58.33689544317927,58.48588073766931,63.182134761478466,63.32411504328684,62.148366155807715,63.842851213389146,61.347479383825174,66.37019940217118,66.12548130703978,61.18488354854788,63.61835243900137,68.17511081862897,65.13784260709433,63.032773042498036,66.56063890514716,67.80781955485905,63.750864888711774,62.87693661285948,58.78918830523766,59.003052553807095,60.852941254080285,58.30153702688254,58.299629000118664,58.33951039615572,55.34459191096516,54.22806179994184,53.86338027232191,51.72899527434243,48.83914380465736,49.050681397786704,47.62823557714084,44.45692080015569,44.357069471183614,47.77756158659333,45.17312514639446,41.20332783036824,45.16730187302128,48.21569212087849,49.97018071352468,52.931131275034886,53.301380931012915,57.62900301026313,55.98626665293145,52.475820255931986,56.923382960579985,58.75044337558986,56.07464049653718,56.4526844216479,62.04540095631088,61.168895450419676,57.24899954336746,60.35662391982923,64.62911071426309,62.734989240436356,59.7490259750307,55.33542573679754,59.39391323849458,55.42907205337039,53.96705941770941,49.672531777456655,48.72478629563111,44.035010850691954,45.800936858729166,48.447951196510985,52.23108918837541,52.957048651177686,52.710056117438036,48.91160489842081,50.77332961197077,46.635816976111634,44.12337526276426,44.5735858165497,44.34656343139759,41.4619156081045,40.54992269364328,40.3120208706419,37.876219937050074,35.73518778506871,35.69957140878957,36.769465816220226,34.43457194319683,35.198501613224686,36.32824414309268,36.83691800455924],[34.336263169252554,37.091948651090796,40.5685597629211,39.640784795934394,43.30922997960208,36.85217620239982,37.70514212907394,36.55350101518295,33.41355069781437,35.99773698595675,34.143379266391776,33.77516374884064,38.880847274853906,37.14014303654662,37.88245916737008,40.49461748497922,43.11745277251762,45.85282668134125,49.502878018303505,52.30857956703991,55.652782334480015,59.72110447225841,60.882585447139284,62.03648424928247,59.05125361591483,54.959256533282115,53.83399233893848,49.643295103902794,47.681577887304044,45.44214492211144,43.56277215608143,43.49093865204887,43.234517700096276,47.20794278689385,48.35311631422649,49.20675650864093,49.180493559002734,53.023888615650236,55.041266196465074,60.83769436805164,59.91220075108777,57.994040005684454,62.07233771257854,63.60601808573298,66.07317288383891,66.92549232284397,70.56857703291648,68.60935646278953,65.75484849089469,70.23818753422343,70.82684712259517,69.79932785953729,69.97861919847816,65.0402464206887,68.21731951711345,70.80089259009513,67.28217095445045,64.01703783498735,67.85117975377266,69.93257135429423,64.56478195367708,62.92265139166011,59.24250421344829,61.534599009937466,61.64627954662518,57.85196885114936,54.22648225040608,50.23931233105151,47.99362383674348,43.834168868554855,43.78045675110785,43.66544710420134,44.64831395467545,49.556725573463126,48.152189138568886,52.782885086892094,54.38454677523431,54.7226501894683,56.1256844637455,59.615716266507754,57.84722869561942,59.99245638016126,57.10245934747121,60.36599805556112,58.67805868193051,55.206575243257845,56.0847771742644,53.71979968409658,53.26019144301974,51.982529138042416,49.41263142900893,49.28105439480898,45.373170975013764,42.68918331392501,40.07560399923415,37.13239606205422,35.401084041934574,38.027357303403754,36.756525871168556,35.848213044634235,41.71157594835137,42.77858549464726,46.851589188530454,47.338989835997836,53.340619525900095,50.34505294540983,53.14137652024564,54.581427876854775,51.08718516372657,48.577885611062165,45.3833421965685,46.049263003179604,41.865404303018174,44.57799806673804,42.56616407058189,45.121293242941356,46.299444363735255,49.043393687962904,49.79337659581415,45.80715670921032,44.162453465009385,41.71471149162407,43.53531513446413,42.22925585337502,40.23720218126354,44.89635069720276,43.45690019973197,47.33925370041548,49.70221399484435,52.81456426734312,55.09807929983731,58.325000844944476,59.965049183616244,58.22259347909285,56.75802730932375,52.69336412899315,53.13904834711557,51.49755403988456,50.307155316136694,51.401633312431386,53.59616190199524,57.08966997439416,54.05594139725457,52.15729524595385,53.82872217550214,49.96654278681,48.42771409756142,45.576724700494296,45.140598821941694,40.848679627946275,40.94118415039499,36.146817355009546,37.20465489796006,31.53548725548121,33.00756896151051,37.20032111004281,38.58720536438449,41.79517006857472,43.36919123476042,46.95342675611244,50.014979031232436,50.927196476784545,53.18331982441793,56.04176303138173,58.705250820254115,58.98086405227309,61.26674143453365,64.07907990592827,61.795541083430386,58.223167212749274,57.66788372574525,54.943364545817595,56.21750153621227,55.704628545514396,54.249643278162004,52.86321872627988,49.54278273203088,53.16561433627926,55.94215765582292,57.143829492602705,59.40232677193444,55.16338483961583,60.84972212024215,64.20161001536,62.11348213987001,63.90727468958312,61.815412323714824,66.82821072531964,67.62200624969832,68.66635615612847,69.77522254376788,66.15422947947235,66.30758845407331,63.983120309252065,64.24836286901494,64.53589335742402,59.94888712661512,60.02854911914979,57.34095130079706,54.202233184790295,55.45712672787619,51.72335411786766,49.755821534131826,51.88020169000378,51.46448654385692,46.867678208991016,47.78687525259677,49.55315136189032,46.893306529451735,43.29144983106571,45.200612855592865,45.224248779737636,40.81967631201789,40.825149366501044,44.20015366403486,46.743601441936335,48.13441916520158,53.425709108157065,52.67482361228246,53.156691970714455,58.27373407296878,57.985364882094146,62.83750852297928,62.72251979789338,61.71649219899723,63.286529633152185,60.89306204162047,65.9716125423426,65.84955956979034,61.24888928650209,63.601303881933774,68.26592439048734,65.49107555333228,63.488295124295135,67.06866051025398,68.50433038861848,64.56816507362667,63.838104784821546,59.52598704986927,59.45200934021783,61.010865662101445,58.163780643291624,57.87562967631626,57.48894841262729,54.638373268590676,53.919439901449415,53.11916112953502,50.73582969874669,48.29768139229434,48.60739059183793,46.69722627810168,43.543518109778915,43.88738596312671,46.92247235025873,44.020386499050844,40.43940192197125,44.533137473467576,47.271780598179774,49.36023772576654,52.17414802521558,52.72782072278933,57.01408906720022,55.45479771798491,52.37459294613761,56.78201436852707,58.66219371083643,56.192197146406926,56.83762912296774,62.24738176908817,61.54698310075648,57.96021868868351,61.08478652248436,65.23024060870911,63.54182438351934,60.77782437410941,56.5445037924914,60.71883541035976,57.00845607478627,55.12954945726249,51.08580493497854,49.804232601849634,45.218670758898085,47.458684348027916,50.04857801631113,53.88675945528286,54.513293077615224,53.833964963778,50.187539148346126,51.80372664509976,47.9447326514668,45.053150598823464,44.96349532356229,44.32807505418833,41.422548434751974,41.11616764456023,40.57893255199821,37.70998591529371,36.16595397529741,36.447461462805315,36.93856432954462,34.0657140779779,34.662643664030426,35.79101309669081,36.44130136627168],[30.48035714398787,33.412338483014,37.147578235097484,36.392923357622884,40.38713377388928,34.09352801566232,35.3636237985947,34.49443945830411,31.617545417136512,34.56507121437136,33.1380723152717,32.89289440242853,37.889793787323,36.21053892015579,37.50390429081053,40.04610224972915,42.38300995659325,45.49630637633975,49.185204262437345,51.94378699533277,55.4234544096694,59.502236202118475,60.61106300642884,61.56833550759789,58.43836870977494,54.35842237448115,53.053881595145256,48.790426480986554,47.058064803912565,44.826617000017976,43.6186876009815,43.24178013017228,43.42687818404052,47.62071225837202,48.3581759982354,49.02763902253723,48.71097159829203,52.42674756620174,54.1996403487755,59.97887670044238,58.96406853173981,57.43014228799237,61.59263011774128,62.91082455638476,65.44937936822129,66.10024916597092,69.80791991215901,67.86366949744902,64.7377309269895,69.08177320221408,69.88271192883559,68.76775709935401,69.23051061474834,64.25355181179819,67.61791298162332,70.39580590276937,66.86408524510101,63.72925065239493,67.7483418908345,69.7774031734187,64.47731394569821,63.16964069363854,59.60345461683249,61.97946068039573,61.7889181622297,57.870999558849014,54.3572000186353,50.3377125435136,48.043648623728934,43.9548121303681,43.83473008205219,44.05588103313326,45.16778226985456,50.05750519540885,48.606058820055395,53.58332138738119,54.778303716218915,55.34128868817741,56.40666655166869,59.66374327327305,57.701091173679636,59.49363692867356,56.45659813538364,59.44963553680216,57.691808034866206,54.45333612019902,55.63213388881722,53.45243900522733,53.20636433856293,52.34732270655937,49.84820042763525,50.13570405615869,46.13258597609472,43.32605745398021,40.319850563897795,37.67902198123148,35.50062523084178,38.0338749409329,36.36883590657393,35.35754354333899,41.223669456854715,41.76116356810449,45.97753134186953,45.94448970293007,51.78205751813445,48.46979086619297,51.06713560187173,52.26757415662383,48.56735512702195,46.320876769409786,42.97778305951069,43.98548437906549,39.86879456055911,42.68960365338586,41.08134976303696,43.57497137685627,45.135724408528986,47.77483095626252,49.06503880482677,45.14326063330376,43.30787031279744,40.62581555358149,42.02577207069673,40.49216156378925,38.25102541109966,42.739994330054344,40.94602518993824,44.990964078110665,47.23709027882401,50.60229420389806,52.54169028525277,55.83501038654448,57.62673891096298,56.133218036440795,54.544449293477555,50.534740350913545,50.59713392757771,49.25267705539163,48.20897920872352,49.58726513244035,51.92020674915596,55.66554425887876,52.85249382536348,50.781944181897444,52.62656544973503,48.89001829030536,47.106890932454064,44.25404269519757,43.59712736240262,39.22390685224282,39.121386275847556,34.51103270800913,35.643221175032615,30.037757369047508,32.03683957933419,36.1677265846387,37.50250874652033,40.410641515156165,42.254143677516986,45.37445352472758,48.40144547357353,49.7369828300621,51.69998242671965,54.758587408048506,57.08541331718328,57.12437826989706,59.2375544824102,61.92789582450552,59.42169453007213,55.96277540177178,55.440622509239,52.936155293283754,54.44347022008099,54.13830450627892,52.92714898020657,51.602680854348016,48.55256691656919,52.29280926546546,54.91091993277281,55.93380144226601,57.98558857585034,53.460831274166395,59.04829110949904,62.366477273525,60.30314032423991,62.44989874159855,60.5741477142808,65.59892596548265,66.24248433138078,67.067076816214,67.96074156815392,64.31978772578574,64.18798718667695,61.715431808964176,61.84183061300014,61.920648525738805,57.24000415984089,57.21328687727204,54.31959169881634,51.3359197236181,52.35288317481926,48.74978404384003,46.791353496878216,48.60484725192162,48.143548987022285,43.603336676548786,44.34797502463735,45.97187562105737,43.38453558509526,39.70725575867397,41.43388877237848,41.377663867289186,37.05367038323492,36.95366911855814,40.149465848677764,42.77955423936356,44.09002163983872,49.428296112081355,48.807978127643935,49.23531315458059,54.39849447332303,54.08100431468145,59.052920622528056,59.08147736195431,58.20927541340503,59.95417797748466,57.748968798595854,62.815747787035235,62.47742721302503,57.93439234935216,60.48690744690919,65.01163206697025,62.1328342221984,60.29456055965158,64.0039510018373,65.19563106850293,61.20120428542939,60.79385337976406,56.34734610399817,56.603817542398865,58.10758288574237,55.14641898440452,55.091105979761466,54.67662635825003,52.048544918123916,51.104464092158715,50.11566798896673,47.97985261325033,45.539075232065585,45.50147715456033,43.60230982947362,40.483238156967055,40.58242763299194,43.51882160935789,40.638334553507384,36.92739425039065,40.845611314900545,43.59511783457461,45.67050589114404,48.64645572508922,49.38305758807174,53.60956254190003,51.80639416003516,48.7845080701167,53.334080048191574,55.01148055317355,52.46767844710777,53.30473551956333,58.65560771704966,57.75343964978625,54.25109801531147,57.5500359841852,61.547747399931296,59.72144431496696,57.018579083587944,52.800392774279274,56.85694905231811,53.156584029636015,51.13472505911082,47.22458178794877,46.04890888486977,41.54164570824316,43.75861680752027,46.456162420790264,50.26819843560816,51.05903365773793,50.39738379246117,47.018309927624415,48.831328548645125,45.144210553433005,42.024301943107005,42.1922132600781,41.42451684359123,38.846962241112216,38.323513551897975,37.408580440704824,34.697639751346586,33.460662000431086,33.22649743716076,33.48650201771913,30.664037383077037,31.151936340705575,32.20826316178912,32.76371862757638],[27.910270954105975,30.569413767331554,34.166803866680546,32.90633784900964,36.85740139249134,30.638785865098807,31.711358248748265,31.121128019693444,27.926255851133284,30.62368766775583,29.256184189141514,29.409054846086196,34.131606442435334,32.14090781809962,33.676761781715825,36.348034525656466,38.41351411926065,41.53694927981489,45.04098897332701,47.94543512896926,51.35003654937887,55.51071101882677,56.48978828355419,57.32892989520273,54.25283428024692,50.12898112709571,48.938869941109004,44.702846929089425,43.164920257871216,41.17252407709377,40.03075633066672,39.92779031003817,40.364783230273886,44.49074854734258,45.04967444161166,45.42943418749645,45.277757021701454,48.669804392814804,50.352962139320354,56.25378005496492,54.97487807503716,53.452453550427926,57.687501795274414,58.87076475610098,61.30476263449347,61.861058932817535,65.60914376715473,63.79215963343567,60.606849319677806,64.98387542566748,65.92522130202691,64.92164392126722,65.44451904946774,60.48042723780665,64.02894699833995,66.69996628499088,63.041020488404364,60.08919309511939,64.18260620988752,66.00575804918557,60.664879409226984,59.506040615759815,56.040638950360346,58.24360054077391,57.92913163038014,54.07165813328424,50.39897683768624,46.46661766957891,43.961738487756854,39.96698166350459,39.68685936443543,39.94670887514881,41.26650145551819,46.1413185309826,44.88924984316269,50.0876090060551,51.197945371799634,52.0318965018657,53.01212812242372,56.17685652528758,54.37035878534739,56.05434487018099,53.2220171393218,56.091659398238335,54.11508679069882,50.94276759402566,52.01688762078559,50.13676547424215,49.63725905501445,49.1175016138469,46.43548806558462,46.82774519762475,42.823823353378536,40.13863714582795,36.91398401871027,34.36769095158007,31.9258943729969,34.86330434510844,33.23059929912393,32.75314155881731,38.29742860060882,39.06000870711685,42.968725081979144,43.05258088611974,48.78388112657663,45.42196117259013,48.24595908429037,49.30487624927406,45.60868654325108,43.41184244954157,39.85835231355809,40.55782888589633,36.28341952891936,38.852608941048196,37.06716364032701,39.40102942661692,40.935610766516085,43.44181049690953,44.73223617733834,40.933930683367855,38.973969557903956,36.33564686961069,37.6555244390872,36.25519311089875,34.189092622296286,38.79889240727646,37.38389206828864,41.41517745315705,43.87617514172203,47.32329537445269,49.21714495312637,52.682952123898616,54.23668712045681,52.87324645416255,50.99445217177711,46.86770289794539,46.91232064592341,45.327326232732545,44.09094482037322,45.47621199891246,47.60096950210762,51.35204343979864,48.60094570882853,46.62147589870168,48.57556179144028,44.95691786364914,43.12964591350511,40.47400723397955,40.022056581616226,35.696933383307176,35.977072019615804,31.44979502411911,33.10955426056849,27.781929300009068,29.53069045205518,33.47712573787967,34.397382732456286,37.40716819073134,38.947663643036186,42.099693101960895,44.78008571735998,46.04020729780339,47.76147235473263,50.95133376208777,53.237119669616476,53.087103131696225,55.36992240049966,57.96426321603236,55.54882887462977,51.997235995320835,51.60911557969598,49.0416794092563,50.709344401876734,50.528389063831604,49.424543761437505,48.34643020334466,45.213741694969215,49.23747722796092,51.57671317324604,52.727677411791866,54.51227191470172,50.12871250082437,55.693977251036685,58.931655235206016,56.71884166374794,58.75470345688914,56.764927533534866,61.80430443048472,62.22419475695307,63.18848168685216,64.09231656820548,60.54256680996752,60.48587321341558,58.104953649541315,58.3709318608365,58.590835015789665,53.899583331879256,54.1197925471708,51.3249386179047,48.44691015909968,49.77358093318337,46.284657509581436,44.037582352157926,45.92403232700795,45.83098162621955,41.16628226528828,41.55655068109123,43.5823651203569,41.40266314888791,37.303734562347536,39.0861801031006,39.43911444848559,35.05947517287329,34.60544968371322,38.11517078564692,40.477970404779605,42.36175515429975,47.165521332984284,46.63081071742,47.41875020688634,52.61881846317647,52.716707500303585,57.44264223939741,57.59139117095177,56.47866374644198,58.23321331485322,55.8469149916927,60.87440080812872,60.538153338759074,55.68639623211084,58.21429030582756,62.720199097957284,59.6898798859065,57.69738394106334,61.32051525433391,62.48620358450011,58.434545871377324,57.788512861775764,53.54046591881007,53.878379724969456,55.61756333720888,52.92741403426151,53.025595122090635,52.99049619139204,50.164111791675225,48.950080369968184,48.40613816558934,46.40549837791079,43.561675444165886,43.567884774924266,42.10494716196772,38.955211511928084,38.76274372279411,42.109357739520746,39.511629878373384,35.49977337668663,39.41568429161235,42.45997050572775,44.22015310677784,47.22084285860879,47.68040385895083,51.97847831842577,50.25514653378292,46.81750666309284,51.31844869933986,53.07932363980934,50.41852036315482,50.924654352154086,56.456075254625254,55.561421612790326,51.75366964656889,54.9314932400368,59.11799586997702,57.25215527178356,54.35495159684547,50.01020362709109,54.10820001362315,50.263452057869536,48.59944383080196,44.413057078012415,43.3328468700029,38.69304239691084,40.67670266119253,43.32650885465362,47.137958409304176,47.87380381705312,47.45194411033016,43.840539984419536,45.73510741748743,41.80682709967994,38.998866707430736,39.46499640469846,39.05495576921431,36.393611337188915,35.46485155168181,34.90803950398231,32.48042549863839,30.66721189745639,30.378984128741713,31.194982305968622,28.802926194588764,29.528051937816095,30.670123810192457,31.244040703520305],[27.304547008192365,29.681210953176613,32.6259628293435,31.864498159240853,35.01216787588293,28.36053569674448,29.069924045800168,27.650720833118726,24.702741226512895,27.588830778396886,25.887908474372562,25.2573865341668,30.47943521440486,29.176646399934935,30.104670271410686,32.48318234516815,35.13007480058659,38.2249985779989,42.22569261923816,44.69619016094939,48.31807228443431,52.2460725742041,53.5619715905645,54.71756527435646,51.46671898031854,47.4932957004146,45.98055442153248,41.69991613773629,39.677067282340076,37.216933852056,36.02558076040179,35.406653965126395,35.548992367269136,39.82236954220655,40.53364811335311,41.36446634805388,40.93419072427465,44.88601689813573,46.78772126455277,52.45643017811751,51.73518741344311,50.121510374318134,54.183906211228425,55.691571353746276,58.385736128420994,59.24281556652931,62.85552006978856,60.692951857158185,57.739506794121574,62.086893401289274,62.61145924303617,61.417442786754506,61.72762414701634,56.75103528640182,59.94025319218787,62.77022043372293,59.356799631126975,56.06152128257749,60.03508709107214,62.23614454322485,57.00118027146921,55.64205994821419,52.03843940898996,54.652461186762864,54.462745247925795,50.42652174992164,47.218765807668895,43.06198027308184,41.152329355483616,36.95471841296468,37.16275074386272,37.666807706326,38.341271061727845,43.18279321118084,41.341909750070975,46.27510836635259,47.267171744733,47.71400629955433,48.68205782665068,51.92953025838822,49.85620240008793,51.71434946846892,48.63414889600992,51.75258856419083,50.1191482568374,46.76567078570303,47.95803424575248,45.604092016305806,45.52810512143241,44.56540744736764,42.2287161212089,42.69896758202922,38.65444309791915,35.69169504630267,32.66313792111879,30.133989852318173,27.981016706055843,30.177178672552326,28.48123244696977,27.43924013986737,33.30517516214519,34.03017690647786,38.18063213295772,38.42352102476763,44.38385705977721,41.345222643632376,44.14893786609659,45.62015841221462,42.19591911949615,39.60563969150189,36.47729094153602,37.15633892992852,33.0582275213411,35.965095964198184,34.20658311006892,36.9916024922052,38.354282177514435,41.32451274511719,42.474350366823835,38.28011675427154,36.75995519610339,34.03340138356141,35.8734331183524,34.22775400794047,31.953342445479002,36.469024089170404,34.816969709084205,38.608266909743676,40.89197176863193,43.88273054002772,46.3087355738848,49.442484639297966,51.10275404807524,49.26202557696615,47.946017786693716,43.954408994981414,44.59772532925247,43.0655356318331,42.12432409953306,43.13005614740123,45.74439276600581,49.24471458389461,46.16243069918203,44.024499737283065,45.595412187098034,41.66058703755316,40.05736934765684,37.00596651312682,36.35066414636767,32.01791152173354,31.95304602197998,27.164161747204886,28.274235024304645,22.69714321447539,24.295164956060145,28.431443234752333,29.801843882091802,32.876380992274356,34.62027943633675,38.02775205684406,41.23365189492161,42.33820137613357,44.70249141624914,47.49482220840991,50.09244899025946,50.58034634787736,52.67445237703293,55.636852602883,53.34241792294409,49.843180670160656,49.09824195490741,46.386244308731285,47.49040446965904,46.921567944762536,45.48494815278656,44.036096706973474,40.87316595769224,44.50596006976282,47.24860821205744,48.3298708753054,50.58856287448382,46.231906036077234,51.912918064753086,55.29190583250281,53.277443457822116,55.20421782335889,53.28197069312348,58.28563087151183,59.24787781729413,60.08053002705307,61.15792665229738,57.452935951878246,57.57235723231691,55.22076025454308,55.44622553458703,55.766027388272796,51.25138435731586,51.31462694634368,48.77678675581666,45.49826905740978,46.94765158957291,43.132646056096995,41.13170362810777,43.55824485681644,43.23228730438112,38.566604337464206,39.735856820102754,41.67561351289235,39.0189209052823,35.46159526617945,37.708046242527864,37.949346331180585,33.40522533800764,33.637712249006654,37.452241724261214,39.74408474077426,41.378031891700395,46.45396929661777,45.34804060755048,46.02651474538139,51.03491701153599,51.05245910630685,55.514505854655084,55.249888200479326,53.918092275253365,55.29979180625164,52.6379387828864,57.69909933305855,57.77810039569511,53.00020136364743,55.15620626709946,59.933350492607225,57.24109227326667,55.04767042772315,58.500938711989335,60.18411447283853,56.33412232971248,55.28292593672868,51.0814173314343,50.727562274287855,52.35299264686492,49.66767031774709,49.305311331504235,49.153706887864644,46.08552390129378,45.32724515281174,44.884413733806134,42.45662067288938,39.76674010806972,40.32475245454442,38.68900287202853,35.49220413107775,35.8644163145572,39.26528626469656,36.5865598087694,32.92964591888726,37.240770689847075,40.18860524080884,42.0334976008676,44.63027260398372,44.78493079793737,49.169723480342235,47.972070536901676,44.59509450003047,48.77774768891495,50.96231951008671,48.580910614782006,48.84850138770942,54.35910949949855,54.01118895833208,50.27551609348366,53.08668071785549,57.45522216920649,56.074179496427185,53.24416902667481,49.0698378082294,53.54659179169455,49.99999112097726,48.289124080850414,44.05717837034925,42.36251531293405,37.70868863708401,40.26231984125973,42.54677363522069,46.43530161003757,46.7046751970549,45.80574233568696,41.89535935034805,43.23968698556526,39.3504593902744,36.55030805404328,36.21341999383929,35.72747687883767,32.62447199142,32.39546817725289,32.20109082148422,29.265621094468983,27.40429769250858,28.180703270613733,28.971364893304308,26.27679495885046,27.17002474609697,28.563619487287905,29.527440722831958],[26.695839369303904,28.62951387927373,31.225355400311038,29.851660302364,32.71941063068996,26.123674448372412,26.354394985010995,25.098741363102512,21.6295904196033,24.025931614110213,22.148588596821583,21.923893914025157,26.90799613239509,25.223609298830397,26.171488608579452,28.74593516387937,31.233342382429313,34.20037019778755,38.021491276803616,40.66782278918446,44.17833399903805,48.19898006061035,49.41109317419941,50.52510281501123,47.371569416641385,43.33669724022886,42.0024885937099,37.76373968896931,35.84032681945776,33.63111789467475,32.234306218613376,32.053724060404804,32.321137494016696,36.449228524631756,37.10897246043542,37.68304703276905,37.55655564731719,41.209449912878384,43.11955965811862,48.94133365513998,47.97280134876517,46.212819536571324,50.33112812642499,51.78456858403943,54.3505632714419,55.19372812458654,58.82884906006673,56.78473065999038,53.87397669878037,58.31552609565429,58.902307346246815,57.858144550138874,58.122915211305354,53.164640276901864,56.49046067353474,59.135205843236875,55.58292825891157,52.4292538555849,56.4249137154028,58.42639304734571,53.10926433686378,51.78876385555346,48.24185058368051,50.65207132299107,50.43270330975796,46.48954851087508,43.06478810701832,38.98872800970922,36.873326948224964,32.71943632707719,32.801830721948676,33.25335580380593,34.078118809959534,38.93556321852563,37.30181576476621,42.384370527241096,43.42239037116414,44.09355302155611,45.08796947776801,48.32757723700634,46.49514262254048,48.372182541119656,45.575081654524126,48.66722246262867,46.815292770295436,43.432938414793846,44.390593112824625,42.29573165424235,41.84949980494411,41.11236787451051,38.53189355815743,38.981417072550805,34.946444523053145,32.14906389892582,28.986172797362862,26.437500413108783,24.11770298253928,26.860462957318013,25.36665251441017,25.061311075603722,30.51922624374514,31.75744584465708,35.46900345480106,36.08166867945357,41.97985641555751,39.03040895104758,42.17441965752868,43.584316551004896,40.27404338336941,37.632793483777874,34.351436179144784,34.50743402171136,30.205263232205468,32.77246371712257,30.614520128047452,33.273636010393865,34.43031834340778,37.33104128440271,38.252688374956406,34.12769421033864,32.56533978374479,29.97054635593437,31.952934746853188,30.545551988087645,28.582348509521342,33.309185327660224,32.26146706868044,35.93330527396906,38.501735096307655,41.45299640887529,43.98056534022473,47.26241813529068,48.590201782617335,46.78579541540073,45.2092976573654,41.07183263889403,41.882654022085255,39.9548326061207,38.74683940442655,39.61438842510101,41.96257541397765,45.35559214663875,42.228262414791445,40.252058766378596,41.86032657308055,37.98384208883063,36.44027262545444,33.59607138334785,33.27800367126679,29.040309112459553,29.528514330253735,24.764773685428217,26.494962985718146,21.306390374042714,22.28935990439136,26.194315562257852,27.062367873652633,30.405738799278915,31.656078618510865,35.31905344651268,38.144807099748654,38.973693079556114,41.2108557379259,44.059281023392465,46.763062541690964,47.15970995121608,49.50794436877688,52.42388870036495,50.328934470482956,46.68731122436348,46.06578647688675,43.18593576198393,44.35267200642913,43.826930791693485,42.40159849522642,41.20499011114335,37.82526592159576,41.744163274750456,44.2333913722572,45.53605530994164,47.582010875349916,43.508068375419924,49.20412403688781,52.506524840290446,50.31816837041833,51.973852217443856,49.835214469096194,54.852917867160215,55.64473807386211,56.7152153421165,57.89522524204245,54.29769765011471,54.61904599250998,52.43195843029018,52.867036943521306,53.430763636864306,48.959164373171824,49.33504694676763,47.008666574906336,43.79269293927889,45.67717045312258,41.95836827621377,39.65122368493035,42.280465541758325,42.37468379776831,37.59655245548176,38.45432566905464,40.866537655476776,38.64434881823087,34.71864837527697,37.07758951163521,37.77859174680949,33.21599607055541,33.12495458567094,37.279572084698046,39.22644995334573,41.45859136590062,45.911447071955145,44.847751111995,45.9140340105985,50.89690267019707,51.348123909283935,55.48270584764962,55.29275323794598,53.669611091745466,54.98667143331515,52.07764855782676,57.070253896895274,57.234569781057544,52.135272441389844,54.171525888697516,58.95959089618776,56.16276454378132,53.748489340798685,57.0397211402681,58.79107782384491,54.92168052951538,53.483110848747344,49.5723117192481,49.16451398004438,51.062185297654395,48.73339387455667,48.44698998782402,48.7239329445636,45.370809298288066,44.41177737361152,44.53628122727546,42.1810892232698,39.072060552685784,39.81843828470555,38.674796066382314,35.47455892401356,35.62272420157361,39.45823134947502,37.10978326105075,33.24467252613378,37.54833443246127,40.757261708629905,42.25637510038119,44.789538097650784,44.57914226847842,49.02390287251609,48.012120042040344,44.207366278025674,48.24364982799767,50.57934364792796,48.12425007136468,47.96218413862965,53.64864881578229,53.39264447586001,49.33116769830762,51.920740650143415,56.52120277559352,55.1661596342235,52.128759103552056,47.84891024518015,52.38893494317788,48.72058072755493,47.45281388595729,42.92218091364017,41.28762173956121,36.51572674563601,38.817260089475994,40.96712456871777,44.83283258930489,44.95884458878649,44.30403119496009,40.047725106777676,41.372410493237346,37.16321235301687,34.84400256451603,34.71466121448845,34.69992179021974,31.384507268673477,30.796837341313275,31.201941097900036,28.558135159520607,25.900724608161127,26.890085856126753,28.40123081182097,26.228234697208936,27.398517847435006,28.895009921363307,29.883941526334528],[25.865369957720596,27.537644582067042,29.531919283125035,28.778673033119695,30.91901989898357,24.088725925498817,24.112446416295754,22.070266520146532,19.108407438205703,21.86048586207718,19.867844292381136,18.729561777465268,24.185355261104533,23.38557511061758,23.892168581964096,26.03563523785078,29.006557865520026,32.09114999987848,36.41660624224469,38.54480045529863,42.314205666433466,46.063538986625375,47.58790700129075,48.925781977957634,45.55352288206529,41.71887295070351,39.974879945929544,35.69813080729496,33.38115643484432,30.671708914267516,29.577568269615835,28.642818441987707,28.792242687248162,33.17373209372726,33.80013438763075,34.78578817225804,34.2032811172106,38.391385900052626,40.40630080163045,45.94090968946375,45.5225130381947,43.86088667252804,47.811309780823684,49.492944057420445,52.34624691466053,53.39842641519622,56.90583894955438,54.5240736653586,51.74160145028063,56.063574973039124,56.32222868551231,55.04356581256765,55.2230466616864,50.250909588929055,53.275285674322234,56.167361662546206,52.878006004332384,49.436473170740335,53.37674282731022,55.74060389146891,50.587455687863496,49.216403578358296,45.596229753612725,48.46029278736987,48.23688785044064,44.076046880428,41.22346596791966,36.93866726070889,35.46808416982819,31.20313381142044,31.779921129673536,32.638315972744486,32.82004657337946,37.5522062923933,35.28782427161787,40.184928494671404,40.90067832251975,41.25135654785623,42.07066703892049,45.27573294527754,43.07240631817312,44.96380716502841,41.83451830891639,45.060179369552664,43.54981533740534,40.0974723389587,41.324644383412014,38.8090803298645,38.934166465233275,37.91449761561121,35.76912308848394,36.496964093651414,32.41874746051051,29.27854059388886,26.184278604215297,23.862124625482757,21.69993657356682,23.434208072745633,21.65748577968819,20.606953747659546,26.439451611353828,27.367735627288912,31.418940654730132,31.95775092949478,38.01696587569327,35.27756455029755,38.29627173214079,40.02715090441561,36.92807954053513,34.00420925611973,31.139492466430962,31.43238617722662,27.4075896314571,30.369466644311498,28.48171000567075,31.560022028485218,32.708981810528556,36.004955878628024,37.03231086890679,32.58563787295261,31.429696494262473,28.676692399733753,30.954044842340945,29.197829096846927,26.921310611764834,31.367274749767184,29.90449290973047,33.35102234207091,35.64872200919862,38.214797140536064,41.12003921658128,44.0702437107619,45.575046945173234,43.400181907220464,42.36149543054923,38.42194961796147,39.661702371182066,37.95626102184793,37.14143075846953,37.74570066949072,40.641156252728486,43.86672897036319,40.53795475347786,38.33233770814082,39.60436233682326,35.48534771361298,34.07831473081705,30.82556852908582,30.170531333417035,25.926067608903423,25.91771860586053,20.97875601302253,22.097445314467915,16.687305217432577,17.69221342768649,21.78497338951358,23.159290549900305,26.415032716840457,28.02775409620413,31.731743528111902,35.10300808022835,35.96674062108611,38.73772332655885,41.2406518592248,44.0949604208984,45.03447824059104,47.08920465843381,50.302091571437316,48.233966727606145,44.72704923187232,43.762997355288206,40.863739369250034,41.54454742435193,40.710331170152855,39.05165862328778,37.48510409991069,34.21539024711198,37.74649983018731,40.594939729082306,41.73311894172395,44.18414134878149,40.01519246942699,45.7678291617009,49.19162146715029,47.229917931288384,48.93521372733565,46.979881166286624,51.94828510022122,53.222098876064855,54.046995225165354,55.29637953186332,51.54755084774475,51.90849664906622,49.68932879270592,50.01375680283123,50.575181530601384,46.26090287372922,46.42242410970512,44.274354204946924,40.74500219440425,42.63243219655162,38.66868801561877,36.63779228919531,39.65201210039557,39.49142062891244,34.79010456238244,36.343436208527415,38.57402778764369,35.94403514763307,32.58352165000238,35.2770485525825,35.82523903659499,31.227077995306743,31.755032662726034,36.0329355719814,37.91800109889455,39.841337187962026,44.51536153485407,42.98334587333904,43.90613715768452,48.67720531883966,49.02886191112791,52.93184765748199,52.41167001855072,50.648977664830234,51.67018709220838,48.588682466096245,53.58473553654078,54.06016004423658,49.09040764016901,50.836423078851766,55.80829084505367,53.31044959545275,50.78789672131041,53.95365580537925,56.09536600224672,52.41804096920163,50.74229815374529,46.835547745766775,45.8840242544198,47.631749338951714,45.268998410558936,44.6200005467681,44.7692352366452,41.27697631379471,40.69283035055233,40.84563523258741,38.17885041725449,35.2409549197074,36.40600426849366,35.11638254708148,31.923401693902516,32.53749692712632,36.34347814430908,33.96957067977051,30.46865154958384,35.00896077081821,38.08154091752828,39.63093945060658,41.80823641146788,41.373633551431105,45.83970705187732,45.24503873242537,41.56283438504832,45.31106800206402,47.951285445630454,45.75537685790813,45.45125590708097,51.04605915220613,51.22528504779547,47.30899337198729,49.60612720513236,54.2801945301861,53.330718691440865,50.412251573809826,46.342488720838155,51.14066265513576,47.79246350546536,46.41733928942641,41.968184684659064,39.82263501657691,35.14886308577498,37.94912146194202,39.77055502218092,43.64871346963751,43.403771391632525,42.297172740286385,37.91742390956336,38.760942542350676,34.718173284644436,32.33040743697595,31.47649402351318,31.332514955441248,27.716618937908407,27.79374169715883,28.42477898747981,25.370925967807754,22.81659893967117,24.717695356180712,26.083274271331497,23.689966203214084,24.965901431218107,26.630956901756605,27.929640999282327],[26.949007273200667,28.08817479100412,29.555788487260326,28.217348781579034,29.819097107424394,23.145471897544972,22.436228309553204,20.395684783297842,16.852278839374183,18.823018765090804,16.379672571474938,15.506826585803646,20.792096280749412,19.68752290818405,19.86624011785255,22.20475995433196,25.2086142024104,28.02996074716012,32.25146347797162,34.50265780709949,38.159541954349386,41.9704937815134,43.4547940714755,44.84872656055254,41.586179331166406,37.71046169126909,36.15069716784083,31.937821776963293,29.574926750033736,27.06180382674513,25.52009252277592,25.090493977625503,25.215166589839715,29.410694142496986,30.10904216910524,30.928295609177976,30.727759428501585,34.70819107653629,36.83624259369425,42.5056159150685,41.92647384938904,39.99051395478918,43.9557502591175,45.68387339796289,48.42134039266527,49.55281470580388,53.04621955898965,50.73811956585746,48.102928314143156,52.55169465844322,52.76486590373423,51.64394470203828,51.67294475546447,46.728442305761625,49.803289422452096,52.472024575823205,49.06838743214676,45.696259719184376,49.60291232834879,51.81751258932155,46.57201667020228,45.13259087704293,41.51831570961298,44.21456119538181,44.04627819215084,39.97878442327792,36.93828945631306,32.69761519458539,31.130906359277315,26.844867320721143,27.415384599084256,28.20053851841505,28.366186503330706,33.11920436346385,30.96724264163582,35.922083438758385,36.76061708547114,37.24736097091908,38.17411104974169,41.44696306791787,39.515388840248995,41.5456333745749,38.7375422753793,42.03744825999914,40.35432929166956,36.78180119208453,37.682374184407564,35.33365061731975,35.051772890367715,34.108483188813025,31.71824678824647,32.34703296386971,28.273617355604543,25.28396683577399,22.140533612935492,19.70646725974202,17.501489425057553,19.793030405328633,18.3862283035682,18.24568268244695,23.57308372896846,25.296175186044394,28.779965376501195,29.933942584114817,35.95146758521223,33.47244961091349,36.89033997329169,38.65255806922655,35.80315012577301,32.74349019568892,29.85791448137127,29.453763156320985,25.26960728187844,27.820762373852165,25.372462187913005,28.38869858570167,29.146810680935292,32.46942676721077,33.067382989963846,28.60849227833174,27.563151162011827,25.025775842359835,27.68358949524302,26.233722770063878,24.38533485568691,29.02310119020014,28.32249102872493,31.491921666184354,34.0754653063952,36.43414648585514,39.581597576072184,42.60144496935007,43.71360887363498,41.46700059973919,40.26302010306201,36.203552285715745,37.80140566825035,35.61592864765178,34.52724110370541,34.83333318789336,37.46414849265656,40.447695850950396,36.967531377498645,34.96754175795225,36.16127555942806,32.02689216904308,30.805789699183308,27.735652582567244,27.51173749081277,23.4553449975595,24.113261530070336,19.207978913645803,20.945606840104798,16.18564152501485,16.090567952577967,19.837055729366345,20.64930516729263,24.31403876336897,25.257769821719474,29.425341071428758,32.42745882198298,32.82289991701067,35.63246202395506,38.06765962400699,41.168565494744826,42.16436188811319,44.49803200944819,47.726371816656574,45.95252958572619,42.29882102981392,41.41381273929541,38.275690368613006,38.871459715521844,37.9730567671003,36.21518963452525,34.86699207408693,31.27702304917414,35.034986007567056,37.6912341637084,39.11401641999774,41.44280747544082,37.68939973028383,43.46845397029,46.82071812226173,44.70022997794064,45.99872569709398,43.76535678416364,48.730922817906254,49.935926505717745,51.04972681921541,52.48070175491326,48.842429342009616,49.512165836363465,47.520449479260336,48.09426848383395,48.97190501466486,44.78137610480764,45.276607290377235,43.44799622073249,39.94363728175186,42.326751449173045,38.45335913184343,36.16163599433286,39.46788806795705,39.72136252536892,34.97888658702459,36.304384240056244,38.987112830521134,36.77412721481321,33.18857183844737,36.007557012525055,36.987784607626764,32.44761517683738,32.727361874061124,37.28089114814205,38.791367283217824,41.23723761303387,45.27426574686565,43.73546173178452,45.01467000165915,49.681719098481516,50.43821002719791,53.95437125014174,53.44886370464377,51.379328342064525,52.26089152662815,48.90221125212409,53.788547235234745,54.42647464372181,49.17997356265752,50.70996809056656,55.70587699353333,53.179141674717044,50.40293790216263,53.33353037753132,55.63032586968452,51.99609947493493,49.82951763424799,46.2929192061752,45.14563108653928,47.15676635563877,45.21028352264053,44.54663595880661,45.12439499747663,41.31164121268043,40.62779403650722,41.407268770803945,38.76027429067167,35.46123728239942,36.93227033864208,36.139893543246075,33.00340024754601,33.48438053543318,37.65496676587091,35.63119381358952,32.06945304032808,36.55769356914191,39.80585840631861,41.017489702341976,43.03976764873177,42.19790731516987,46.681886116345666,46.36349981245397,42.31425618262185,45.81210173726623,48.64527593156794,46.44170761508693,45.66309900935439,51.37906946497855,51.7315968872436,47.53109286837426,49.51712961417508,54.421485075298754,53.57394285660638,50.47728512837528,46.36024129151389,51.2232486976453,47.815960249209255,46.90498187344497,42.19901378407997,40.0719386233753,35.35082056714577,37.907302038823275,39.509938341483405,43.32158846426195,42.856500933860836,41.95750241854615,37.19860170286412,37.89654441060747,33.540394296049364,31.77050694176372,30.99098815352699,31.37577872782278,27.49178347682996,27.32284254872898,28.70889973352121,25.965752205824803,22.57151775094067,24.898303530548816,26.987131900831532,25.16531911402275,26.685411142127922,28.422375384543194,29.710064252368202],[26.26331570913898,27.351912543179704,28.548448226629507,27.786562056961657,29.04251680990704,22.26050785391504,21.62178749172954,19.040693161407507,16.114776958025146,18.558860653628166,16.248579956816446,14.573542358141415,20.206756230732168,19.895234539737256,19.892474029107653,21.798893900468812,25.0929127087939,28.089291340913178,32.66296386315135,34.494147057342886,38.3554109444909,41.94383226403647,43.64123842366228,45.14265662438597,41.70117263351182,37.9961320272174,36.09213972441982,31.854171244152457,29.264529032958556,26.34578958574446,25.251128157832,24.071723078590143,24.17272162593128,28.61950664625651,29.216791818728638,30.35723129581327,29.68444710399574,34.08037832275806,36.217145745720224,41.63089783763208,41.46762315763399,39.72301168420611,43.56290545054442,45.405987957244925,48.36672225873601,49.5900980208153,52.99776800235749,50.45407556184292,47.84235585594559,52.15272696928076,52.179862077008835,50.85237231091245,50.89301329760744,45.935715886321596,48.803867516805006,51.71668297063769,48.52797334632597,44.96273896432726,48.85173142314765,51.342687165516566,46.255882896481936,44.84158372585741,41.20210700261262,44.254334200076364,44.03548554047215,39.79681986584218,37.23457337373047,32.86301719247335,31.78443724994946,27.488131838018912,28.390685420114416,29.50367781945079,29.246283613777234,33.84652817800562,31.238902075773,36.04852197709954,36.574811477557084,36.823301014681164,37.552397331052795,40.74505838206705,38.46195189131919,40.42237143587557,37.28188139513186,40.62572079944395,39.22178370462465,35.662684474057784,36.87321101681099,34.20624183563983,34.47047887722271,33.35835549033612,31.370899142010295,32.275789114592236,28.1925694774058,24.91971160870782,21.819713250619305,19.676369054543734,17.58506113157539,18.853618299691345,17.063256943364117,16.05523155353762,21.825613798946883,23.05468170574123,26.95649597131414,27.850590719964092,33.982303289898056,31.563420379818115,34.775369640520964,36.73486974745173,33.96295573985495,30.764487410532627,28.17845057547499,28.071209931278062,24.16014210629804,27.093855479324326,25.052186381308285,28.34870922347817,29.240888237246367,32.79040098840234,33.634616357699144,29.00725220903493,28.206750951205223,25.506414175311523,28.180119487090007,26.39895592918101,24.214390777747326,28.535916883931996,27.323951746996062,30.395931712575912,32.697166301049236,34.85029409069863,38.16305886920574,40.936408414546015,42.277357957470485,39.81914829157284,39.02059584430616,35.14670059344257,36.9087278963367,35.03520134369198,34.30775044233112,34.53793622134618,37.61042002718941,40.55345397105053,37.02136365785235,34.80192775204746,35.794564635188046,31.527298972097356,30.335209533565703,26.93862559136771,26.33202991209207,22.236869934655978,22.333079474315436,17.316289603648706,18.432648795822878,13.37718952451253,13.538679050166339,17.530445214119233,18.883822663119282,22.349276390089862,23.76369580487826,27.791355994588248,31.274157100435254,31.857638818421194,34.996200073246456,37.21787392428824,40.31630176160988,41.64273757351095,43.68142345929447,47.085693348180065,45.23746783735921,41.73552452835087,40.60449241708487,37.546831751746495,37.848513730579825,36.77227431243031,34.90193096228554,33.23941956431136,29.84310669233391,33.26985285707052,36.21711128723464,37.43039242809879,40.05472358351229,36.105062177355734,41.90124349387117,45.34876423341132,43.429865637447556,44.89933543082497,42.89044385936526,47.815028485780275,49.347586681587416,50.19575653809642,51.60220081150754,47.83734624909795,48.4275472935667,46.346194248153644,46.769393328251994,47.54653929937215,43.431921981831074,43.690348193957504,41.892257321387234,38.19385649861695,40.437448879057094,36.40018038112185,34.36455780374974,37.82603123297266,37.81101201911477,33.1566696531607,34.97702731483904,37.410069914930666,34.85548415281205,31.712272706625807,34.68581045636184,35.45920379783628,30.92918769870575,31.6494981221341,36.16587913530287,37.71655556732763,39.82773604757247,44.12941799273949,42.31210824525975,43.40881396079394,47.94693479512602,48.54671862192718,51.994387152062316,51.28864548900072,49.21375040716419,49.94588514412171,46.55702105937518,51.46074415201809,52.246917974618356,47.16598302801162,48.56613571502788,53.65734707104447,51.32966513452362,48.561844913396854,51.47183262605333,53.96108510112243,50.44552816625258,48.27415175820781,44.64702950657118,43.21186661402186,45.052753983539716,42.983366472923954,42.09913945145337,42.492284783367815,38.67934143437206,38.2553712374943,38.902300577641256,36.068059819092255,32.96906269803276,34.630588467544435,33.64261709897606,30.52033511236248,31.32163217072319,35.365771539008286,33.27123039217743,29.982243265542238,34.584298274178316,37.68695684972245,38.99230755358829,40.81763062073835,39.93186845994365,44.40597474782346,44.2818512103469,40.41393983366797,43.775931382776164,46.739379581231844,44.707609834149956,43.962797920698634,49.56915409976506,50.145176992195644,46.125207415016305,48.0028346366294,52.87576314281992,52.25378641563072,49.290538192945185,45.33628461698043,50.31891380816849,47.141198128224396,46.04382238491238,41.48488677424159,39.05005607507281,34.44101895015925,37.35306936814722,38.79824674001645,42.61142456413036,41.977842659930886,40.73981182881251,36.03510163806178,36.45650616442644,32.323961003577686,30.353479169991765,29.078056668561636,29.246686796807932,25.252415587699616,25.595808066539675,26.939004523406958,23.887655814615236,20.79498099646849,23.608459170504105,25.40398063155265,23.35408813364052,24.877873380804544,26.68448086768264,28.152532135990324],[29.602809347965586,30.7163665748438,31.72169195423329,31.296231030808794,32.20256203079518,25.455224938586753,24.645848088077038,21.590489692271795,19.042066426242418,21.254929584433356,18.6394463338556,16.337384337529905,22.07753145579366,22.23806553284689,21.382595295035717,23.013840279033147,26.82749365117811,29.42935141842864,34.17146632264276,35.72511215461718,39.56015665375616,42.94120985526121,44.86208083270228,46.650336692968665,43.24962176615743,39.686790113823676,37.74346080234926,33.625435489186465,30.63654734273587,27.436968094231478,25.807114025890897,24.432608161158196,23.83731576045254,28.18779594291059,29.27020300475347,30.93569107504962,30.24356708002894,35.09654828692077,37.49884801089268,42.65620445461256,42.93249421950795,40.93452810349099,44.550115947468186,46.7072900795494,49.7473314578279,51.239785694082144,54.49493914631584,51.77194077559333,49.47654929273247,53.78573220665154,53.44976480702817,52.05405278241038,51.80375471405904,46.909867567296075,49.3764844372087,52.270768833398726,49.29441421131829,45.43695883265718,49.0810795983102,51.858908667715156,46.84800573690674,45.07239112746198,41.275363697479136,44.53297017466847,44.62394025565225,40.40254141596431,38.10352845809529,33.67930662342133,33.0409283456537,28.663684208195235,29.886780261242603,30.82757803185003,30.095784052751732,34.611080921740864,31.68851998866254,35.94871545419746,36.719731444464266,36.468137495821296,37.45534665269254,40.86105729153349,38.510925630374665,40.82755086558657,37.59234177691494,41.255080428606014,40.1952405458379,36.42694501207038,37.53052085719875,34.371053534206105,34.84731425097806,33.03566903625992,31.314598745775626,31.90478227354903,27.910501742791084,24.53501092503128,22.069526810790236,19.690915734868355,18.429538954331115,18.963406678077558,17.545273777019137,15.877402108457254,21.905356836831746,23.364362779991616,27.383206229653133,28.65109810976708,34.91928755738575,32.94728278908857,36.0652752195085,38.38268716693353,35.90669580757524,32.450913676304936,30.34438155964147,30.208606402025236,26.591517284386263,29.600212828960363,27.504298572742687,30.952855938853936,31.524554334268785,35.26398283043476,35.701420288565224,30.94906853541988,30.53247577152165,28.035218289957427,31.074846109372658,29.35478573972101,27.25786289078609,31.395052809258324,30.135689859886885,32.93014506069212,35.038271732942114,36.761543717027116,40.421770849161355,42.88134278986767,44.279386622744475,41.464827808130664,41.13591842585449,37.43928041732063,39.591740477859474,37.7499048394081,37.158356588409646,37.09226698141924,40.28002165962236,42.925693649792464,39.18960710838943,37.02264588122191,37.67569964026123,33.246592171397396,32.36845107408161,28.81717319860135,28.172662644063088,24.29511343411874,24.117831157267425,19.099859918123727,19.393389713574432,14.294374350917801,13.986177512504266,18.059684940423598,19.962323555293043,23.462517185533,24.916358940367317,29.23282299455429,33.065685896459385,33.33068851568413,36.98026814512001,38.78713558331456,42.17837659725195,43.95804985063536,45.89909941116205,49.4940915698454,47.79348691908879,44.35993348365557,43.04155462135617,39.909427119242785,39.764849927111015,38.3569427728087,36.16627022699876,34.18461953563892,30.716933816313663,33.61714632292466,36.98336510600106,38.18714506514328,41.26665642882135,37.50939136707696,43.31524175379946,46.829540469736784,45.0872411222441,46.33621720265873,44.3170446485151,49.13650921687713,51.07173688333908,51.91323217525671,53.48546179218358,49.68082613924351,50.45112856774236,48.44820304827528,48.85347877800903,49.694189468664625,45.76873817582107,45.89428685133924,44.27447188487606,40.36707731781176,42.56986395011694,38.36164917040225,36.61958542338788,40.30815372717976,40.03857108735203,35.524910962000874,37.82576798232223,40.034318447832554,37.12355750805085,34.47776369881981,37.5656081490033,38.11095835029842,33.611867291721225,34.722101636060785,39.14704515036342,40.768934482434595,42.52949240108428,47.10943822116487,45.05940100520232,45.95090128559978,50.34339148670245,50.72123490102986,54.118420159619525,53.153441343119646,51.07830205289376,51.57508357690844,48.118283262194545,53.00331297142609,54.04493510536349,49.177748588660776,50.334710747305124,55.548415669825154,53.49681189392135,50.68820428899531,53.47830935352172,56.260572961233784,52.90775568621596,50.586910458682176,46.99526338772801,45.11736748868307,46.791701168970356,44.67311135762864,43.41070004933226,43.56374135240773,39.68824225838084,39.73858467541373,40.278247487422014,37.1060684594069,34.36224825204826,36.373547348371375,35.09344566836651,32.02233544562503,33.30576918077684,37.10652231778518,34.859986506206596,31.98722583039387,36.707989391252084,39.57086089611903,41.05569998688284,42.62932943827823,41.70354221771066,46.137961803810086,46.275748482414926,42.66909020241096,45.83118959390653,48.954156537131006,47.13081926578323,46.40144443582773,51.86640272626133,52.6992512192966,48.862337814690385,50.58511809853585,55.434881138375005,55.05096584786894,52.20582175979127,48.39923474986901,53.46155095097787,50.45764242952249,49.24155496996096,44.80132740569736,42.155621635458765,37.654295759921304,40.780096736872544,42.099461882273935,45.88779111332094,45.0977337198414,43.61003360349859,38.90340349865874,38.99750601091938,35.03108378798416,33.06466310116667,31.24008492863408,31.237084373094845,27.06984423605744,28.0456019224346,29.443202063885472,26.07937077535579,23.315934958675598,26.61416739007275,28.106666691877958,25.766527264046804,27.223593627973333,29.030104502453565,30.57124686393812],[30.690134927356656,31.96496242256738,33.405913860591994,32.3265462519473,33.7547898393427,27.040776155884213,26.223937353505754,23.785893912681455,20.478467781041317,22.242181534075844,19.450716288679875,18.065048377861427,23.499528419679482,22.688450762454718,22.02604807622396,24.220352821461493,27.715085401635662,30.08588019924196,34.388446645776874,36.4953800078956,40.06412319625791,43.74075165495706,45.396348163853105,47.06324406114076,43.90051601214443,40.10661213498812,38.61405835092605,34.51502317475185,31.789027601337096,29.080218736640877,26.815973127844387,26.41666822838186,25.80596841344152,29.829655220926707,31.10453550409848,32.388450292916666,32.312002620421616,36.672391600070775,39.08578647281611,44.584670438371575,44.337060377983015,42.07015109512067,45.848646435931734,47.878302127906174,50.62927934485271,52.01372532357118,55.38312393707602,52.96358279393416,50.64278827288734,55.14414610514962,55.03932172894147,53.90674362541647,53.628181628587356,48.74548773176853,51.468183373736274,54.04319119989833,50.790086631017495,47.1589651171558,50.81376632630083,53.24990539405249,48.0172287070876,46.161485038483676,42.36928658918529,45.16131034993863,45.36364817668299,41.36908414607518,38.426204794769504,34.162757844086535,32.89218421593736,28.503641696699923,29.307755971396396,29.753405539102395,29.554470899870104,34.293910599035264,31.966775476108506,36.3673380451786,37.62521874027665,37.64091864901869,38.9423525868111,42.49337941700934,40.6026775692211,43.044031211531255,40.21723759923123,43.85017457525351,42.44275224609516,38.634856431372285,39.337725717090215,36.55308369244124,36.31773083566561,34.65650678713101,32.397892667080654,32.54940240490618,28.563164378123393,25.557264841786132,23.08737876187445,20.246363950603058,18.90947349300135,20.771736048757038,19.82884084546963,19.225416459229358,24.787813811982815,26.844621444246712,30.404859871412608,31.96950657945148,38.14597791136439,36.0532873806322,39.41991350636602,41.49535751165436,38.868190544530336,35.57891628823982,33.05829209564827,32.62232618823362,28.62700391146458,31.228179265357877,28.642516797894867,31.767873212263765,32.18342138621697,35.647683980967614,35.7524796077295,31.200290043814867,30.477172855739937,28.185985249145837,31.212464045093192,29.888158086494492,28.162575703755397,32.71671970686785,32.0110641039066,34.9897721761408,37.44685020389913,39.474596778512904,42.9204512208306,45.706071700196155,46.85826246496026,44.30740394449458,43.47086306960742,39.52317700194325,41.442041506339045,39.23580590603901,38.20108233594329,38.25279754030815,40.89806721732493,43.61100198995964,39.93058415929226,38.035603793571596,38.94890115011033,34.66517777437388,33.74242953689398,30.56753311819471,30.37248641261611,26.473204446934716,26.940224277690422,21.94702601903222,23.020266288885633,18.06153558642214,17.62714268967293,21.51682365174489,22.788767761977123,26.56445024385441,27.493435442869995,31.997485407789473,35.279986057295595,35.33237482580499,38.585521833997895,40.67507825875811,44.07703934390899,45.4370581275877,47.749074288249034,51.128935767436175,49.4959447160056,45.86518254340851,44.85104557126326,41.61850924098784,41.85630131191647,40.6713140587407,38.615572030300356,37.00942174297135,33.28570798664038,36.61434369786302,39.64042182678425,41.106108006635985,43.8325154134367,40.28060214456459,46.09419916450951,49.50726302873354,47.511167993833766,48.56479032188035,46.25832749468276,51.14475465176987,52.67158881540918,53.85080146348546,55.453780494436906,51.79501491461766,52.649841401120185,50.736266985614385,51.31519405783287,52.25987508940077,48.20292702174377,48.59641574058158,46.88793185953065,43.20510676403628,45.536874843618236,41.50003274116694,39.44520365353109,42.92001457708329,42.937604698624824,38.276151056950624,39.98842838134653,42.470155862365864,39.91702590676877,36.70555941260669,39.60107782497761,40.34904848215492,35.78684417874099,36.37830720545568,40.840156807275804,42.48324378085518,44.60241437245185,48.969268647712035,47.27448813183608,48.35072145132649,52.95328201317268,53.46698176823985,57.03602691478564,56.32483058371521,54.29880631104109,55.014565632976264,51.62298326774277,56.52391616804325,57.352178002254966,52.288971204572434,53.651416700277615,58.76035556369443,56.44410578689307,53.647674249498316,56.50779452606555,59.02837629766412,55.50481656432479,53.24400624788261,49.70386534383969,48.21682082944874,50.08692413058159,48.06004379481536,47.0814664304184,47.41438670740135,43.56071513033092,43.28372541386782,43.90845836310197,40.95861539292576,37.979465807686076,39.7105738290279,38.60016155096728,35.470108666580614,36.36344632092918,40.309201947037685,38.07761149419528,34.82622544162701,39.451405675737234,42.49772571551266,43.92786029963105,45.796437343011156,44.98855626758154,49.45968235884045,49.299156527048545,45.492358124236134,48.891126166724355,51.83048050555269,49.77399379321463,49.06962778734081,54.68699731956183,55.205394933506994,51.157660950885,53.0761313608674,57.95377914942267,57.25669700304761,54.25191018280445,50.22419000299504,55.13898320033585,51.83027472633294,50.782820088358996,46.170261933458114,43.909467141993936,39.23961264661842,41.961842591056836,43.52543311868507,47.34164098372968,46.79846637218057,45.714497283893145,40.960163378399294,41.43143348300809,37.18296131654765,35.372208091587446,34.16078122957675,34.36503462735036,30.32489778348736,30.677578020363264,32.040914063605385,28.979988059656797,25.891919183828858,28.56789040567102,30.35055789625053,28.178198760935334,29.59850757481906,31.323558776750716,32.638167509774455],[30.826459362759223,32.64222704412164,34.723179521417116,33.92350923510809,36.03627669903099,29.21917837714972,29.045270979715234,26.841577702953476,23.74844379913626,26.045820507688163,23.602971124416154,22.341963871904753,27.837415493856454,26.923240372141873,26.713285046066805,28.943452432516597,32.26235227095578,34.828330685561106,39.05965724473326,41.27054898794981,44.84754074052956,48.583949365313856,50.16838075404203,51.72726650386832,48.55013851616243,44.698668668247734,43.20080265241089,39.037672055740885,36.46786707535654,33.75936031232547,31.737148065571024,31.196840522694153,30.645945984767923,34.731705242533806,35.97814432208107,37.26456546406566,37.03915304336322,41.409404052125495,43.712317665720036,49.22097467938224,48.924316057184186,46.82046487645419,50.65558829375638,52.58827552362244,55.3385391804989,56.60373005374411,60.0352686410991,57.66114285685157,55.1858308677979,59.64168146587645,59.6741304873443,58.48940792515594,58.347163424176216,53.4361318237627,56.20986751534792,58.88041447576296,55.63131259037561,52.02113195730124,55.71167769957115,58.16024066549583,52.93314764044413,51.121011949729834,47.332428319918016,50.10322936202081,50.28789136396936,46.290994920943184,43.2823322057708,39.04498772691717,37.606759396678314,33.24765572227776,33.87348803797054,34.21518163323067,34.27276069308423,39.06580461141171,36.87700523739929,41.27735409836088,42.587402690131015,42.582599088926415,43.884475261600784,47.4131676273471,45.42924276074931,47.775945597413276,44.78883453609906,48.33975936002003,46.96620552329472,43.257734303344925,44.1313219867724,41.33233166152985,41.229628840251316,39.573646131635996,37.360412354794896,37.46211628006258,33.49453656322361,30.496697808484033,28.036701024051325,25.201569645179053,23.788903488980424,25.60960593320312,24.43528650991672,23.34641051728477,29.225215049411126,30.727641248856187,34.667184349962156,35.75316609245269,41.94389412278689,39.56207368476137,42.64348584461235,44.60719546231671,41.69564818839868,38.59206192159231,35.94505383028539,36.03625418634794,32.038398967274226,34.86362745187067,32.60361964728089,35.667102520731746,36.402688545146106,39.736356158323915,40.13935026907832,35.67554553661181,34.70591591235798,32.27138618634856,34.926873839072485,33.469002459128745,31.490485247928873,36.044190404118346,34.8574419291847,38.160836228358505,40.48793456091094,42.821406315686524,45.962418605110926,48.80357620846842,50.2347784963265,47.8480265922894,46.97683073787532,43.04111209804285,44.536774059407925,42.63363693486424,41.67760812143096,42.06017601218895,44.743732654506275,47.725561967063314,44.21040748856586,42.220335749454605,43.31893647159988,39.100938940485236,37.973273753469805,34.764436230061186,34.3334615345072,30.23958759471104,30.34115984477106,25.322012607606595,26.108563516377764,20.641888105539046,21.125123472265486,25.2710286717297,26.83673364928083,30.336356100934772,31.702971298725725,35.84646073395814,39.273949860559476,39.694610872340384,42.75816655104378,45.03064632322981,48.202687292803496,49.344118313495386,51.5395407916355,54.82294994532091,52.933570574248755,49.360869596227296,48.392254708914315,45.34213112871823,45.81147145451464,44.77244424855605,42.86127365700265,41.18488611554563,37.66778008330547,40.944502639755044,44.032325846212245,45.322759857524645,48.038655192951644,44.162065872111796,49.96079660885931,53.407527760671016,51.46545630398671,52.83574069619022,50.68253467619192,55.60189518826331,57.03634993859325,58.070945851019424,59.512689018572566,55.8000599488662,56.3948197387934,54.297041386847724,54.704915997527735,55.38899629841971,51.16494986142309,51.34333248868766,49.3013126872821,45.68119407423485,47.587913325701976,43.53487161318886,41.61989201750466,44.73411045747902,44.46282944672226,39.80784137210434,41.509420770031944,43.65530005611211,40.84602889305558,37.666555319396004,40.349651622660396,40.7530235785059,36.15255404884286,36.776791448331345,40.94707985185938,42.94917214545989,44.68397052920345,49.567037934393944,48.026013877365095,48.81748295238143,53.57743050527788,53.73331982462725,57.740752978417724,57.108303698733906,55.41151822726659,56.33877626754489,53.24917316194112,58.252904337593684,58.84777953518802,53.998109497231454,55.638092830895395,60.67798894654325,58.30063234952247,55.75859934377491,58.86848537916911,61.13884331370377,57.51274716140119,55.750253654182835,51.87878400745868,50.721053794359165,52.4068385461537,50.015212485728846,49.14514188035369,49.117177932886115,45.58906746292502,45.30679404102344,45.35341394355815,42.4606258446412,39.76980618677683,41.11459774260294,39.58222761317608,36.40000093843285,37.29399372822069,40.90404475340778,38.344326280391904,35.06463370963551,39.66591709828529,42.573704971841345,44.31494167276634,46.42705644634836,46.063659442636784,50.51214643994308,49.976543406828185,46.47818296657688,50.19083822582392,52.86602203854725,50.73967317869265,50.50801461257919,56.047432621235984,56.27797822237792,52.439077267024786,54.728210783321465,59.381543126422486,58.464556191514404,55.579636306405654,51.52079327882597,56.300336980836434,52.9325134938147,51.50898601240624,47.093667274771704,44.98123532475599,40.312525989181474,43.08612408953146,44.950715097161755,48.829692225856896,48.59623736212092,47.47639987310764,43.071487204318124,43.82075049939222,39.76306543547609,37.448100820511115,36.39246792921512,36.179996289215225,32.44640197835218,32.8072515334066,33.46765519610672,30.251716522111177,27.830524724101597,29.888014062201766,31.10138720526157,28.49433523664051,29.644937086185553,31.253369777381522,32.48406715149502],[30.411555619107475,32.04967329889066,34.23817711403465,32.61247234047989,34.96713309228207,28.390075712107144,28.00723111352012,26.461532814099577,22.68033165095284,24.38932081307778,21.929091887758442,21.61722311652994,26.58549793790722,24.789314799666982,24.96032739217626,27.638524864803994,30.447357185284528,32.88764566835769,36.63123401521694,39.335837361021056,42.665705756355045,46.67102672685398,47.94150006154643,49.27930445252474,46.30866699527727,42.27295958906605,41.174267637485734,37.06147818034256,34.8782250492996,32.72417719095034,30.453539027472722,30.75591728345561,30.515047707709403,34.343298334403904,35.465398337191196,36.19654410973075,36.4880505650623,40.207211612474985,42.40030650707036,48.23455417381596,47.335474339869506,45.10961074154671,49.12384209013706,50.813948584579485,53.27242900129968,54.34680611121326,57.89411965499432,55.856341391649494,53.27950370175531,57.873913013030325,58.21952401955672,57.3064739370811,57.23829002538177,52.34401320058916,55.48001611271529,57.86173315343538,54.306847655828626,51.04410116887044,54.83289446467519,56.845607664170984,51.44736223688737,49.77074179112881,46.10755684253107,48.39800609005297,48.49998834522894,44.710229069585715,41.13639795457024,37.10548848884895,35.03794552694705,30.80172572760799,30.973151183707838,31.038637080549208,31.691810012722456,36.58441563418946,35.00902788676466,39.747521275346045,41.23874881520337,41.7102532806137,43.081829819709995,46.57642465604966,45.01966026437071,47.29401596877698,44.749641891799094,48.126540132078205,46.31476916987236,42.67590443324811,43.224633468450556,40.98455402902912,40.205977746567775,39.044528164826126,36.32242461041265,36.3035317101518,32.35512277536142,29.72562769083047,26.998192213508005,24.057432233697746,22.280134115773908,25.27528042137999,24.37158302413981,24.43281146951317,29.689110631746754,31.713160152494442,35.07994271330749,36.40964903065255,42.40868027823382,39.891034406893795,43.30533980754726,44.95666919807025,41.959436962487686,39.04616588317079,35.97076172052162,35.600702359758195,31.27080686728873,33.5779539823276,30.875623439529136,33.55284786790635,34.16826395471579,37.16834525285376,37.37937075620608,33.200373086323594,31.90834429433767,29.666410049282494,32.20216748114358,31.14189341005512,29.59559360338202,34.45545052012903,33.9763374466173,37.341690381997836,40.055497365547076,42.650187110356434,45.56805565369307,48.760121898232136,49.82655028484987,47.760488503973285,46.2944381674103,42.12042906143539,43.41592681045975,41.092439823307835,39.68810134980497,40.16219191444853,42.28566143345055,45.315383182429294,41.93079044835236,40.203951535152825,41.58181249460385,37.595612569156025,36.388497922736505,33.622513771533086,33.65758690003465,29.63260529885362,30.48058804090652,25.624638741487438,27.364842821386247,22.368559364328394,22.47019033699423,26.281413664794755,27.057458113550265,30.783267574029875,31.548398800474562,35.788682975753645,38.529392357439164,38.77297198501157,41.32356794134177,43.90697252011094,47.00923509686243,47.677071466964144,50.2472370077653,53.27548039854096,51.500529631279626,47.74431504845593,47.105511940538584,43.966943214816055,44.84501640783515,44.083875972942295,42.384475432657325,41.18525091959127,37.46381346060277,41.282725132959165,43.87178303856941,45.42610078265345,47.64406952895544,44.01113229700854,49.7678059640824,53.06352440406213,50.82743379616737,52.002741466864336,49.583781303598386,54.55398063370574,55.49070143943835,56.85114960139757,58.292617974249204,54.766362148152474,55.4547488403331,53.49133183315995,54.122776902768756,54.97316709471696,50.66715088662775,51.22466379301574,49.20534675932198,45.867790557654125,48.087147888777416,44.294809863844776,41.95055113900261,44.929025021826156,45.15556701208142,40.37021385657789,41.35153656010733,43.965470206417365,41.77973306418487,37.939057882428244,40.47006488203409,41.320328804848835,36.74748935088705,36.72032208823859,41.04135098541041,42.816808211552726,45.202613554524994,49.449033381780666,48.2611371631353,49.44529255521754,54.32782395401088,54.894585271717425,58.8061155311244,58.47925815382328,56.66017180227469,57.76529480839619,54.62166691678951,59.567572794747235,59.98381735332489,54.79277876681181,56.56452221014967,61.466845515057045,58.7856659935917,56.16340321405349,59.245251397272476,61.27044294961612,57.49506101564557,55.6254689743703,51.96869444451386,51.1816596970571,53.18208742988223,51.0850492382112,50.56552529315115,50.97454494144169,47.346588510396266,46.59703912412126,47.05590184677639,44.48146674629398,41.32067009411003,42.47610376937298,41.444670788359396,38.25602070078153,38.61689681704254,42.584643095966754,40.311864280823904,36.599428395111886,41.013889101626575,44.223317151814314,45.651071979802076,47.9748778069802,47.495414449733964,51.97034644646694,51.266327281688085,47.351045066423964,51.15795620570778,53.72085296278355,51.35437045491186,50.89912747637705,56.62894857383897,56.61509392839005,52.43800841245349,54.76244027969862,59.528704851091724,58.34827454971852,55.23343859925178,50.9650599988527,55.60410446975526,51.9462885610728,50.92476240595078,46.253643449051,44.529100653880526,39.73331108705008,41.986193277798904,43.952749596810136,47.78777454337437,47.69581764108845,47.065509487192664,42.507904305700094,43.57582775145131,39.183252311190856,37.26993610852288,36.885064725457696,37.117870405143066,33.46165301358305,33.06566770048248,34.00523083190969,31.30778846340383,28.233428898504425,29.82522099733269,31.65573735410524,29.594197203047067,30.8782026351023,32.43933804244165,33.47409934873216],[35.66240027655201,37.632970121821124,40.20446186584123,38.57265367836424,41.26290869408591,34.72770957689675,34.48607133869508,33.010404685687746,29.220788552851523,30.780544202963434,28.208604648829024,27.93336118246205,32.83068226458211,30.846156842395246,30.713832846277807,33.473231559062796,36.34947778827966,38.403120460845706,41.87608957724669,44.760560167459296,47.83706467209565,51.87722456185181,53.07739654676473,54.49180723048526,51.75838474520928,47.68509671103958,46.88659372290791,42.89417842677747,40.67666430294941,38.64117515009152,35.73897030599749,36.42052314900344,35.71500585499428,39.22703254373847,40.80555306581321,41.67119109322659,42.270940308184834,45.989027455659304,48.32512410506613,54.170269135739616,53.22873329150541,50.70328550147755,54.65477814250959,56.44448714259981,58.72798068868507,59.87332250876288,63.38802715699214,61.47307377452655,59.07721082567484,63.76904422386338,64.0613466016211,63.266836698956325,63.01339249435074,58.181156820080496,61.19670802969391,63.35790766502971,59.78745301451734,56.49034467156753,60.08339410934104,62.05896337559927,56.59347583830703,54.59665328677294,50.85229052922656,52.91045276664281,53.344745513348954,49.784665786760414,45.95879599527899,42.08686772053713,39.87317149626787,35.68976810797566,35.7249609915921,35.219793364933324,36.00048271811715,40.8799483879216,39.60975342320442,43.90584291941046,45.96544189145323,46.22018922201915,48.009259451521366,51.73246274175143,50.42058911158898,52.99810537476309,50.597270657149856,54.15041213443299,52.383934051505946,48.61861885352806,48.89291253283382,46.541560444232,45.50974523313279,43.93160974257067,41.10230863028726,40.49072341349604,36.72968113321601,34.35393787566025,32.16182088979194,28.87551200278218,27.66586558615657,30.775942640143057,30.261226696943826,30.225507952207167,35.52178315962159,37.78530959375135,41.139851600976996,42.69424638468172,48.75804443869477,46.356579119202706,49.73936310897002,51.45455480041568,48.44944263363116,45.52603181539799,42.48536702548559,42.14847126488234,37.81287814815129,40.039327831305,37.177438366375284,39.721778085089056,40.1374148076246,43.000766830936776,42.799734975061114,38.778309013562755,37.49132097267024,35.51695582603334,38.10316394743872,37.290569993631635,35.931270617575606,40.855416279391456,40.456036677535366,43.8639242292012,46.589990286297194,49.193223297827174,52.098747419236275,55.294752700650186,56.36955849533379,54.28207584925306,52.82168183218926,48.62735616673796,49.87235229020347,47.48181032116168,45.93744695496963,46.41211261639208,48.25766344493306,51.199954675077095,47.80428395859271,46.27529585939582,47.64185987914962,43.6864989697053,42.60083129028178,39.9473470494416,40.108812314862114,36.13830851532746,36.98385161502389,32.092690142528554,33.584251081399245,28.389840739180016,28.50068403150358,32.40556658302908,33.346563841030495,37.13523997937225,37.83573895606703,42.23217023485887,44.96477113370988,45.00735395389776,47.592251676049024,50.12001644050546,53.338366218014514,53.96233003703432,56.65221341366968,59.62497431370135,57.89549065181558,54.096067350984846,53.543416813327966,50.37425345095002,51.26966757976184,50.47180027626128,48.68729648706659,47.45791233732405,43.622027305827416,47.29720959553282,50.00146195968913,51.6383117359053,53.96196504011411,50.45787174367986,56.22437466603873,59.51943099620011,57.27026874300299,58.28692660650557,55.73637756898924,60.67291942707704,61.58441124032957,63.113865168512376,64.62552424875089,61.153340770636056,61.92210421720265,59.99763048976887,60.65596332876653,61.50348736154665,57.17527875453179,57.71267542084516,55.615786011996654,52.29765118008926,54.37589559115129,50.55860438062814,48.29492316629999,51.14118600807393,51.231456475633735,46.466472116818174,47.423129724429835,49.8810907673549,47.55343852462827,43.753991368440985,46.130924079079726,46.77631354325886,42.20806716770809,42.15142676201537,46.2387699364662,48.23771774811592,50.39603104548249,54.92748157051932,53.89470672491004,54.90539778941902,59.8800589804897,60.19950170279722,64.38996598222052,64.08729357375178,62.46786097738822,63.64725728274323,60.641602860724944,65.63382853695646,65.98466649417541,60.925166357501055,62.78431550595844,67.67606797526088,64.99127608933878,62.47023719115931,65.6278751247488,67.57402685791413,63.75750203150154,62.054590329234,58.3049406009594,57.59700917188644,59.51934102478143,57.27601531001279,56.71113716789509,56.89400482854099,53.37851558961559,52.76468639893505,52.93678651174859,50.28264775831517,47.35751645122532,48.42190948160689,47.097556515461385,43.89356964201537,44.36097321324727,48.077127082707705,45.56385026961782,41.927995955623594,46.323671054367104,49.389829759346064,51.05426888980478,53.49347853424684,53.273235877274786,57.72467816878636,56.83673206658988,53.141366640465286,57.097959360929465,59.52432835744663,57.12731900275513,56.928758494079915,62.609422653166384,62.4291863504341,58.35947040389643,60.876593600215045,65.52915248461665,64.19814177024666,61.12924818058508,56.819418377336035,61.32264419891545,57.567999311306174,56.397063743764996,51.82707661830694,50.294712545043176,45.50563245525948,47.65123682914249,49.8162949492231,53.65444109457518,53.76359937615279,53.204587005565465,48.79152898256513,49.98135061794266,45.6245965413971,43.590731957853485,43.239403424674876,43.29333761318048,39.70927591502128,39.4136106450712,40.075848522486574,37.27262072122178,34.52122234408022,35.86650379171156,37.39749744427812,35.06666181921904,36.1495159091827,37.58693596155481,38.48169646830265],[31.85147392897454,34.03156085762287,37.06469545588784,35.2861922286395,38.60691101786372,32.2649314901208,32.52095988787856,31.644744423650273,27.871636348068588,29.771039294891818,27.744591776559773,27.968932361521166,32.64783175700248,30.359985539674195,31.157853733920337,34.028920489158956,36.357311469958965,38.886814524215495,42.21214877380732,45.28205465174633,48.43366400581632,52.63013502830532,53.615757816878705,54.67803491956586,51.8522319025767,47.68512353390897,46.840510818500135,42.74257875044915,40.97485259773294,39.137194370640216,36.998235253914466,37.56863421642981,37.51610357417405,41.26051428443474,42.303332618741244,42.75462447825921,43.16369562162403,46.52129191882928,48.51646198362281,54.51074034513217,53.20126124756069,51.10313398964995,55.25552168087542,56.67621957876052,58.93293230899446,59.73532221815493,63.40615700662862,61.651926218158096,58.84594397670991,63.44599733107223,64.15174883156182,63.352889198390365,63.48650846452334,58.592859103873636,61.987892709339405,64.29440853197528,60.571956241876016,57.55287994556078,61.423150192017204,63.1800375687284,57.70881284906838,56.16031361274068,52.59041220478526,54.556128334317826,54.59962518545757,50.96416007379052,47.01376701202079,43.18047416190218,40.60383515933313,36.55197994761492,36.27190504771943,36.042594263688514,37.302543216178485,42.21696696678528,41.165823910094815,46.02443853382874,47.67891260965612,48.37725148097895,49.79579479019591,53.24194679260972,51.83230816219264,53.965599211155684,51.500702215855824,54.684230477074415,52.66897627160504,49.19547016242693,49.74149425091095,47.794545027568454,46.79384294048429,45.89131741698219,42.9627343680756,42.80936100752182,38.93047081279805,36.51486670673633,33.71820679800638,30.763340229125387,28.818305632874704,32.21573697530463,31.23107809486441,31.319609092363436,36.59426739488322,38.32475896077726,41.77910907121096,42.73751973152672,48.614881278829344,45.722537708037635,48.98027232056536,50.305164066943725,46.95559050295212,44.40373047864996,40.98139720996152,40.948071546482176,36.509394816026244,38.725974224973534,36.19566287888778,38.51740134770366,39.41279892819479,41.9978220425057,42.42928037519173,38.60790443581456,36.88182870086721,34.657482777045765,36.615533579758456,35.673473750628425,34.13989805057881,39.04830546656998,38.44120628244875,42.15825181022214,44.908465552480294,47.983575989999466,50.37238542130142,53.817446236750385,54.98133457372174,53.32260957684064,51.466662659744934,47.209396944598666,47.85273639142046,45.66822436545459,44.09930000964821,45.02077519163822,46.79843367218629,50.13807242988309,47.08145544565794,45.43240002918927,47.17248233290196,43.4445649919732,41.98235742986513,39.4685476440845,39.50163681665335,35.3718158883888,36.20650019671078,31.493638317369314,33.369536087387715,28.191205093646367,28.94109692474003,32.81244550977083,33.51214033556775,37.038174987403266,37.94132980547802,41.816409793652895,44.30882432884488,44.85489760600305,46.872231541438815,49.81944276115224,52.59013861306353,52.6969305832048,55.33878641608274,58.05531177058714,56.05544453422095,52.294652438185366,51.931731135247865,48.995996330354735,50.385579175129166,49.96240349443162,48.557721802243876,47.552729638662065,43.96253267637905,47.992367316639154,50.37098303193908,51.8747381054457,53.787975484192096,49.95322060283841,55.63069978926693,58.85587216267986,56.517382410404544,57.93591527675133,55.548604773429716,60.559389747880786,61.071414177572954,62.456462131815805,63.6944233129254,60.246162906193895,60.67328903682232,58.58645537451062,59.148125238295755,59.77630933738914,55.25146787907224,55.78383986962541,53.386885519832106,50.34963815100169,52.219999787578416,48.6233012387427,46.2109778705346,48.609703785278526,48.79867839061193,44.01725749339508,44.48636018371791,46.93655529009386,44.88736951397647,40.72257901033725,42.80799419281351,43.498706516342246,39.00949900139244,38.55911545514091,42.474791738553506,44.536131676413646,46.82559788761338,51.2326103675762,50.53155410245132,51.59641972654208,56.711255317597185,57.08956111951184,61.470064924567595,61.46541087446618,60.00969511806702,61.49660263236799,58.726938088782866,63.72439256462164,63.719670300440995,58.61716526293312,60.811754893145,65.49753371759563,62.55252458998961,60.22433318562289,63.57727948082376,65.1022931270339,61.12701505582394,59.838471709563585,55.943337283238414,55.81561638455842,57.773700300354555,55.43608923103619,55.27678959590987,55.51987641387555,52.253249781365646,51.216615234788605,51.23012293118358,48.95403844972929,45.886851154261805,46.444665543043456,45.234099992325156,42.03658138394212,42.04873282246033,45.753999583984104,43.302732276730495,39.350627281337836,43.49926109321437,46.67256953168182,48.26312092434023,51.01143185636683,51.02784394804441,55.435036762197214,54.14023170729329,50.39378983229878,54.616508447913276,56.729656498295896,54.133634260922534,54.14696285752591,59.840782583158635,59.273382209067776,55.185718053177986,57.99558576028088,62.49595847907955,60.843990010410764,57.760937726091086,53.35756832627743,57.64371374472464,53.74161013221694,52.51471480895955,48.00662456257613,46.80215213072834,42.022961287365526,43.91293992984135,46.31969409285352,50.13478558003062,50.56016818102889,50.23530320740827,46.09989956372661,47.706562174551294,43.406776235802916,41.173091852226534,41.39846492287152,41.407092824429384,38.22154338947234,37.40151233553896,37.65089164674375,35.165324298101076,32.56925104021348,33.085815007576905,34.54580936443234,32.36689357254866,33.362553540095774,34.66899930754184,35.37190942849527],[35.598132844469625,37.63096669461392,40.61640662518277,38.36791213036931,41.65563648533145,35.52793002535505,35.49264548866283,34.8256949463503,30.71680537999665,32.02471142771785,29.81126237022755,30.416239660251833,34.729811970617554,31.989637447968963,32.579690149382635,35.65015721735061,37.82101389441985,39.91898384564788,42.80663449795735,46.17193056163617,48.99450051923557,53.28989247763844,54.09388363478869,55.13452676626911,52.604752012762894,48.375512971793825,47.94516379626381,44.019325665919084,42.36782947032521,40.88647864380536,38.15005403783564,39.398031060981154,39.160788567696784,42.518825145482325,43.8013892432329,44.079209936452386,44.983583747685444,48.00878157761255,50.07865847316333,56.187987279082705,54.59448749911948,52.17832981939324,56.32195037165404,57.72564100650685,59.70497707250466,60.509772525989526,64.1704683872952,62.65590229293641,60.00649256099334,64.7381595974873,65.49466997379176,64.93447389844488,64.91431199250422,60.10919079589039,63.55453773629175,65.52282034995565,61.659751597247265,58.7915390115626,62.538462750858926,64.04581892798986,58.47386207668156,56.76761544736804,53.2283344214631,54.79311216971097,55.02830499321698,51.67957817028833,47.33745407589076,43.74661947743873,40.84563773005157,36.93890285390389,36.400259383989344,35.672711085761996,37.22336894694542,42.09596143609735,41.524855776075654,46.20011245832156,48.28756702626895,49.07444623772547,50.790696089482914,54.354744924976224,53.355145125830475,55.6822414133204,53.59348638484298,56.833610365411936,54.64957801944348,51.1024568840692,51.24189934925449,49.49750594236184,47.97207756041797,47.03249233605391,43.80638214876099,43.224736797120514,39.522049640814515,37.48047806263474,34.94778014493818,31.778882276236185,30.09571612118914,34.04249668692318,33.51343889710968,34.159673856088546,39.05382976966297,41.34387755481341,44.39004530637375,45.784105915850716,51.59693495254173,48.86135090699249,52.34866224264875,53.638762730284995,50.388748401192316,47.826119936770894,44.32697825590854,43.89200197717157,39.34071655372649,41.16542204825073,38.21240451656002,40.26572676819469,40.81890127232193,43.17596841598415,43.09078094521874,39.52908122910568,37.76678009763659,35.91505687537154,37.98370598058558,37.477559932839306,36.40250691694828,41.447191982269125,41.42656541790313,45.025837323826494,47.99328438023033,51.03147333538725,53.44907809708791,57.008573969827054,57.888324078520654,56.28390456715633,54.197505012135245,49.836250616276956,50.549623711440844,48.002231076966744,46.104297283189446,46.911405156565976,48.196859514051994,51.354754099609345,48.303544399325446,46.97326160689582,48.7448871348204,45.14907710962967,43.832099649709,41.63271009658394,42.05186342088868,38.102810169941414,39.384143323259785,34.746620556206935,36.917561383098906,31.97531182425877,32.25978056592517,35.95423206448416,36.34035266774659,40.07923068266572,40.514585855549896,44.653612795401166,46.77092173064327,46.94297901323352,48.81581417817499,51.76978636311212,54.67095399112823,54.62656189825515,57.564131801918826,60.15581424335119,58.36969132214985,54.484430201540924,54.31363195044121,51.24816083064784,52.72250559401259,52.33626810786371,50.914072756142744,50.13214728820038,46.314095187204764,50.47920696937691,52.679368802814906,54.420262830665706,56.18042680479332,52.698173940292634,58.34792186759922,61.47897441556848,58.98607833673034,60.06083761621741,57.40502482497984,62.37687264272787,62.675532250431715,64.38959079490189,65.74606705995593,62.4599719800861,63.10145964674261,61.19477719623478,61.951752878751996,62.77371141934473,58.290744263991485,59.07248018115327,56.79871910692325,53.8679884384771,55.97276196390177,52.47453226454786,49.88395213787313,52.31122327118899,52.74845295191091,47.9322703602281,48.10798163629917,50.80317683594544,49.02968413032816,44.63394959415696,46.66316413083293,47.56545463343153,43.1166281244048,42.38890856405891,46.34722941369092,48.27256508591291,50.86250804929152,54.92443984943402,54.393915129442966,55.64455525349098,60.78043432277096,61.33610921507069,65.642848608912,65.73612980317098,64.19908834862456,65.70018741132918,62.85117167479617,67.80567302889467,67.80062776791858,62.54601536118366,64.71390587841928,69.3658035342558,66.32628460583113,63.909717077996376,67.17607443323921,68.66318531475912,64.65240134637479,63.19014305597674,59.49245495912624,59.412865980538896,61.53334258699533,59.39433187207853,59.28973370875112,59.72411522479498,56.33572777753248,55.212441925881286,55.47295861923311,53.23159439964108,50.00421047979479,50.620973762469106,49.60522696299622,46.41363117194185,46.31051247201472,50.15224437931658,47.805592726031776,43.76329154751263,47.85349535558507,51.11381676839541,52.58644076992206,55.365938240553575,55.28525722451545,59.700141462648126,58.40824690495608,54.49272494882647,58.69084684511427,60.80012155048053,58.12609287874447,57.98270657228666,63.75137189567404,63.11857423328155,58.86382902349311,61.62543231524845,66.19915227013031,64.4486570241038,61.244985026447154,56.75206544875155,60.941947668518786,56.886795715910914,55.933412224047295,51.29973297652561,50.31847277648964,45.50843040178955,47.070543994176916,49.491368750047194,53.242445889063475,53.70959714910503,53.66103668600992,49.400087155997035,51.08038658340482,46.5917368192127,44.6898124566484,45.12220314927227,45.377668741737544,42.12419978226695,41.08795587077347,41.598690248168204,39.30094527981194,36.3690953251172,36.859297375411046,38.625391724221096,36.67577249489446,37.72707074117209,39.0056147064529,39.60881693169197],[32.671562307846514,34.85754631237693,38.18578895194079,35.87710339953007,39.64056839604217,33.7284827419545,34.107138588764414,33.88688909052352,29.893400439929028,31.490235849997493,29.738684473179674,30.641948229477745,34.78162834258193,31.91422628541175,33.19485368194089,36.27892193722108,38.052967985278435,40.53418438629458,43.34811077355134,46.78421206315014,49.68963623420385,54.06168370636036,54.728998090786355,55.50547608287925,52.88011369829099,48.61352138228542,48.09675863460142,44.098968675389955,42.77713162396418,41.403063322329274,39.315259868045594,40.373613376326354,40.61162345850815,44.16800721277459,45.03706930487361,45.0488640585969,45.74048650031205,48.53461027109565,50.3321356694265,56.501996248066,54.683428920276185,52.638936744511064,56.91171886264593,58.03863681984588,60.02512197614903,60.568183709970064,64.33227962170406,62.912193088714446,59.94741701350725,64.57255521146948,65.63048169631138,65.03758714112489,65.32769857721527,60.48074798409338,64.18432977808342,66.29888611983557,62.35867195963376,59.683076737950884,63.63519786061817,65.01388641031096,59.47238684074796,58.120455962836175,54.716573970485534,56.269097810354886,56.19192855719385,52.76215384969481,48.41213318990774,44.83721751842166,41.74366866995098,37.94899874376002,37.223964996138236,36.778019188800414,38.61641848564233,43.477262522934424,42.99332829439098,48.06321537204021,49.78600386548944,50.86640787838051,52.26852366557311,55.6035857104308,54.47764752849796,56.44855049658785,54.270599527563654,57.22168033390122,54.88959114313485,51.58387242871185,51.975331793687076,50.49904535173089,49.08137634840996,48.62586106408828,45.39615339007773,45.2033198698846,41.413592023968725,39.29617539419731,36.33430897914517,33.45355493604215,31.256320023472163,35.26468313742619,34.35749734044639,34.99801644078669,39.8865995721141,41.71304440497963,44.86101988360688,45.76487402630525,51.41252665020618,48.31750022512668,51.66111524391854,52.656089696784996,49.15936998582622,46.89733679026933,43.15097080717973,42.99141649641748,38.42243123235084,40.26054517725154,37.637277906704895,39.52754813824263,40.4807894932861,42.62898053716365,43.0915907965073,39.68091118419488,37.609734512868975,35.54494200062952,37.089799612954025,36.44394932467269,35.20206943833876,40.16296751077344,39.9251465641213,43.73852040494314,46.67702285556139,50.054166731406006,52.0599428324976,55.77530834991445,56.749667587485746,55.47180425877361,53.125045495250376,48.75523028399068,48.99252361006502,46.660069156797135,44.79209014418506,45.95398563629141,47.23086747710427,50.697081021150844,47.926609295805285,46.47631444604567,48.51444670740138,45.0984236585464,43.4938298239786,41.380606823656144,41.654957718141915,37.60966757359265,38.81808109966815,34.36041918816912,36.73824052109628,31.85073931104651,32.61893036151716,36.26794124063993,36.52437562513217,40.01057266998075,40.645542498930666,44.33899034363506,46.30743452935845,46.895955556012396,48.35105746043071,51.59892348609239,54.13203664116705,53.71049283142153,56.561867867581626,58.95760499963705,56.945915658327884,53.125321546365356,53.08186945350855,50.229358955026036,52.06123111038116,51.95394195925372,50.823336853830945,50.1810351770231,46.595020074207056,50.96884214518962,52.947814931238945,54.55205224641502,56.023349056952554,52.27194638090219,57.828004425130786,60.90356015778414,58.373726868916805,59.78671776659586,57.29868559101647,62.308233191654814,62.332216833245056,63.89004425220314,65.01717857937321,61.744435725865486,62.098344759493614,60.05542005170666,60.7132444957555,61.341282590251176,56.72396844916638,57.47095537988204,54.96601910794861,52.25936830608687,54.16559141974804,50.84990619471995,48.18386237463652,50.24320127610161,50.72963461745016,45.94307124908152,45.760956894568174,48.40628979330209,46.84049972966182,42.21919580107345,44.000117207508225,44.91322787416947,40.56872850894138,39.55172340642819,43.32779002660078,45.2980148027717,47.94962608716585,51.91239256796065,51.638860324265714,52.90743054215334,58.1221957260499,58.706648081983964,63.1456217715627,63.460571326783686,62.06640559629931,63.79479483352274,61.14884556406055,66.08843814446737,65.81146077696559,60.5650976639366,62.98275474703843,67.46021047435568,64.24265550779678,61.99672590299044,65.40904215024551,66.56816858332827,62.454032414165596,61.34025969419581,57.52699320957241,57.88893482705587,60.00708937314977,57.78620053495613,57.981798253471915,58.43657105902079,55.26667363526099,53.84608300192791,53.95766396535308,52.00891914770555,48.71933869177809,48.94411801548268,48.00172881220536,44.84352836062476,44.40843992503962,48.19248697768508,45.90354124311036,41.66881992903531,45.53121927745151,48.83833392324956,50.25340997089822,53.24906472115293,53.361063015635274,57.71352493623402,56.11470785573677,52.20156172130346,56.58255762948813,58.43644778777694,55.62891181818194,55.668398742587414,61.40966583796353,60.48208337500391,56.25091807910576,59.23505441794048,63.661236901612966,61.67221766695136,58.48264821140609,53.944872649707165,57.94455950665267,53.802628228789644,52.786318701048614,48.24026907638077,47.5166376578188,42.75520797027084,44.11896758414352,46.72038207025005,50.4332957656429,51.15086635225657,51.26468601941522,47.265643769163816,49.25367092710838,44.86327801505799,42.792735151503,43.64531565514507,43.83850012062492,40.924737232644794,39.527845840830544,39.69108659396916,37.64993848847466,34.90831921302313,34.75108392674097,36.41402585898764,34.60378734659305,35.57060844598696,36.736773605437,37.192386916106486],[31.29866664573262,33.797790351561055,37.57245429385412,35.45757734051693,39.74062830085282,34.02658713463578,34.931858241658844,35.01362567841904,31.31856045656682,33.32538846106304,31.991610047209587,32.94792765437459,37.05087170158872,34.25462222102192,36.02317016196564,39.034688257400646,40.58121621618007,43.39086285030797,46.21680116523527,49.62940230626648,52.63205739410222,57.01982730991917,57.620844734959334,58.21150465126908,55.486006100642314,51.224318935838234,50.57619614924488,46.51668244097658,45.405075141060586,44.014996019927764,42.4751272386242,43.23110038648585,43.759032679423875,47.510150824436785,48.108106621980866,48.02529108300316,48.44853604877701,51.18126931789591,52.76888967190709,58.92139457080286,57.02254575832334,55.31753211153415,59.66139324270805,60.59651798921174,62.62984673848111,62.97403912827067,66.80378220727573,65.41830230779559,62.199241951768414,66.69856220382711,67.97076957036677,67.29895847981834,67.84529402089983,62.96504741365327,66.81274733076854,69.10133154447361,65.15604243242005,62.5757275427453,66.66854693057132,68.02191422662813,62.53601221171697,61.428312870156105,58.1016098609431,59.71666182479119,59.42715355305997,55.90900579720881,51.63819837022247,48.049782789468125,44.90490380772112,41.181141186782305,40.381370454392275,40.16183874363447,42.12852775396222,46.96394673480189,46.46193833991043,51.74456445951825,53.19740521694516,54.40026020615355,55.57361304651182,58.74779895216553,57.44361882849082,59.14551797553719,56.79830494651885,59.53957937691743,57.17664981666692,54.06722080319394,54.732636302031,53.35839177608748,52.15526985317556,51.96048712288722,48.817375818104175,48.899547819751604,45.04583120603654,42.81214965550218,39.60389321291361,36.92732441542887,34.44145259228437,38.280822466679126,37.030711439818205,37.409587645534145,42.43498016746228,43.737021254979894,47.11436071461838,47.51127280381004,53.04443366563471,49.63638237478124,52.732026392912616,53.504103792297634,49.76710518950265,47.78108190562127,43.896322758125194,44.15691086870541,39.662414456673744,41.634875451715104,39.43532688221322,41.24289825518128,42.586200175515366,44.592766621279836,45.56560142731214,42.251830186571816,39.97695896203384,37.70437335261137,38.77889980748524,37.92620834978224,36.429643983777424,41.217337415608846,40.56820876685133,44.59302330479155,47.39200511937881,51.058959069386745,52.675842375242695,56.46030964423209,57.636827986945626,56.619518305343426,54.158403091003336,49.845764450905044,49.617552443106085,47.62476533118063,45.89023024039036,47.39265560103933,48.75902518710288,52.502888360496456,49.982163188362414,48.380119527563636,50.607264092685035,47.31502120739693,45.469474401296544,43.347247433668954,43.38170027713499,39.23441739543214,40.18035109608505,35.8667544634985,38.184543770971096,33.231699791328786,34.560488182532865,38.24610388997024,38.58027162540249,41.77454174802304,42.738397757643035,45.99079487257233,47.97981749422612,48.9946787373922,50.169507586564684,53.62118363046608,55.82007264302885,55.12590162138528,57.80606600638219,60.049231379683896,57.7766282598998,54.07359557829148,54.092200252584334,51.48669163070963,53.58301874462943,53.6831761688571,52.77868014320316,52.15228386737976,48.826564636620276,53.24964799062891,55.15209293940643,56.56903162283039,57.89263287235012,53.82867442530363,59.29613490563685,62.350810033230935,59.85867150733181,61.640887880150984,59.3677271357234,64.39531710399174,64.26285157747405,65.60668187311579,66.50764095393077,63.21229985900869,63.25354841394368,61.038610927101615,61.53350526876833,61.90341529048082,57.162409196050895,57.75918650095371,54.97637102146277,52.45076407862042,54.01111482638988,50.83105106070287,48.22272210831108,49.867802220821076,50.23563044182627,45.53786233280766,45.14501238306922,47.54941496856963,46.01684873744342,41.34675605218191,42.83373547527228,43.56976288074553,39.359832513716846,38.18699191682201,41.61812024003535,43.76764747724054,46.225846661978395,50.330676611748316,50.29946610932825,51.42287347987046,56.70982498474461,57.13746803870318,61.83040002497185,62.32630718621755,61.190042595280396,63.14912955466603,60.79265648462393,65.73313245473089,65.17692879074201,60.079050795132936,62.762860418837334,67.06991489358934,63.73828850078755,61.73861372725349,65.3374360498987,66.17250696547443,61.97858822557815,61.33327798893248,57.31286646327618,58.08585819478956,60.09374201190915,57.668902692372946,58.09740357169221,58.403238844926,55.54009404524088,53.94506080821739,53.7079702299838,51.994987858310154,48.82432901077647,48.63196687979936,47.57122032910645,44.46260921012565,43.813638504951975,47.354278558987424,45.001940988391645,40.69633857799315,44.31673423758168,47.5439108147354,49.03800894072115,52.25238484111039,52.68928380264376,56.94443826754563,54.988056146155174,51.26418689488606,55.859925947501985,57.40785833051481,54.51100860692896,54.89559115728156,60.526075077765874,59.281886441435496,55.21500269063598,58.491465471424554,62.67600337463764,60.449541996574155,57.36418146575394,52.83568339669964,56.61152231839246,52.43895832444034,51.183079013933714,46.86121797729538,46.37518815704769,41.727617733880344,42.98807538656732,45.81083461204951,49.482410207343435,50.49549240253662,50.667968054810515,47.05726365197133,49.32277860899025,45.15417375472654,42.76189044306489,43.90282467114002,43.86713410373348,41.33771592672763,39.76728684317446,39.401689675700254,37.49731132691807,35.22355602137171,34.41720972738777,35.70553923004702,33.84484975714901,34.61558943878581,35.61341043351414,35.89284861020705],[30.078224221434095,32.26371234171068,35.97355682784233,33.228975225362426,37.62580667754881,32.40159143532559,33.21398298810275,33.88717848389418,29.98915196197784,31.586400284595783,30.541068240196594,32.13424937889873,35.60694226562853,32.352190026289435,34.58686265019769,37.71574338887396,38.69368865450887,41.4902750647602,43.87561939520086,47.52532232639416,50.336157716676226,54.82614071663222,55.15782460426459,55.4739394369323,52.88725508569835,48.59150352136517,48.17449938193554,44.23391215647922,43.5535022332575,42.604594668678004,41.27430331445288,42.40765001429883,43.314664842376544,46.89889925117826,47.20631190620287,46.66829935876874,47.299959457005954,49.45290281462354,50.814475082051466,57.07127558732869,54.72755723276552,53.140796958647314,57.566937753912626,58.209833188671354,60.027684004956754,60.133427658785784,64.02277773389908,62.909297733721296,59.54501832324883,64.02312287514017,65.60099146996296,65.10164275746222,65.81276861370979,60.999447484459985,65.13150301090063,67.26415720003538,63.14866619480407,60.9145272281765,65.09941876191574,66.10183575928004,60.60891626334538,59.78017706411414,56.6605333145994,57.955691350165836,57.457043304105234,54.09310608282146,49.58202185373257,46.22711368036514,42.70565958856965,39.26316727159794,38.11872189100009,37.89834033964955,40.30121336361754,45.01375327552832,44.933075754456766,50.47598773396369,51.797119092035224,53.40765282260034,54.432446673947396,57.40790102331793,56.33344247822948,57.80137638093261,55.746652049772564,58.21278209047736,55.54952004309844,52.64452779968529,53.195401932177845,52.31720172896468,50.77881253133969,51.122671238562944,47.76182827919931,47.984330467026666,44.21169886668437,42.22269798620627,38.775793318784096,36.319111350358725,33.51444316135291,37.82773013667667,36.621019514875336,37.62853964537064,42.11496368378296,43.53766421978311,46.49259619294892,46.882373855586955,52.11320383357508,48.58917543874197,51.8255208829128,52.29274839894873,48.52760334819932,46.785338432907054,42.64547939895323,42.629875752624706,38.05888703169324,39.595673081645046,37.30474373633587,38.70476566801286,40.086012015701435,41.70295739854343,42.76927691816341,39.83303305253851,37.2883205765117,35.14817589216477,35.84383188302054,35.254309517147334,34.07428282065873,38.84965971968543,38.68418575754895,42.67241016063954,45.67078567070061,49.51545230797494,50.84269409205959,54.84894303623495,55.74926740052646,55.06185974063454,52.151321996941626,47.76084315116486,47.26996536834018,45.073076526028544,43.06979887992367,44.71792345093707,45.65322158450935,49.462083769520994,47.20268671724958,45.77043223306757,48.23082753400453,45.25693835461382,43.300959252262864,41.579178919439634,41.86879802414156,37.89376413714202,39.27877104741397,35.302003382183194,38.189814706412356,33.747235820454314,34.89383408256522,38.220368959521295,38.0203831784403,41.15817052059713,41.770038627869305,44.835941185471,46.2554190243327,47.270891146335444,47.91677335712339,51.60235100402897,53.576383331171876,52.443399163124596,55.308744222095214,57.27547934219135,55.063341947769516,51.312999116051735,51.60576190008238,49.0554246471139,51.50277990387668,51.882647663076625,51.23999952797871,50.994630814489625,47.696363855678435,52.444952348347414,53.89946990974912,55.41845298544851,56.28276904223204,52.383126401802116,57.691754529075624,60.573595232153274,57.90295839780786,59.62654949454474,57.27204434832184,62.26315654186462,61.69933576468378,63.190326831824294,64.00702039604154,60.893770633559996,60.91904705734714,58.800797552370696,59.4299130758064,59.88151125685874,55.131010088964416,56.00839086290202,53.26656727709736,51.040695758674225,52.81235743026522,49.92131205656859,47.0151175138066,48.49053396776646,49.28080375637264,44.58356365879848,43.57976749967413,46.338608506750454,45.39751926163731,40.28287290763796,41.607638804929685,42.75322059284173,38.690988207948024,36.979623340575735,40.480720209184845,42.32328566094671,45.3582600256782,48.743997513376755,49.002671644452306,50.48631480548296,55.77162368013147,56.609888195723386,61.08987841791211,61.83288124602125,60.564301571962126,62.63503094696388,60.24316445915811,65.06884746616912,64.37304252958828,59.0338087087724,61.7908802304476,65.9242021201836,62.3716111835509,60.32974886413635,63.86229979359613,64.46852664648594,60.2017820940416,59.493300503221434,55.70535756571231,56.80197431720622,59.03700717875943,56.89657196374296,57.62472696328444,58.30752587676732,55.40124261460242,53.427789575497734,53.558358241414915,52.146210623303695,48.62920511179013,48.28775968673832,47.70100925083962,44.65746682475937,43.578497101707924,47.377767993197,45.36206072317827,40.801615967576204,44.18094293092743,47.62335583808875,48.76701708377852,52.070187406315306,52.34878675851496,56.562755751677194,54.53440073348256,50.47703735506863,55.04850284551416,56.49864615356465,53.44587619514894,53.59412801101099,59.30738511861072,57.89506894684362,53.57808230533068,56.814950751749095,61.04947363822008,58.64219756903235,55.39220479556418,50.75748935793291,54.3622112251754,50.0059446796074,49.15735990937614,44.67378228173185,44.531975402855096,39.89506276989655,40.651954319573434,43.490704963144054,47.04168114389121,48.15990715570102,48.74953939884897,45.110702021025624,47.612183120842055,43.30270101677463,41.27682957565804,42.96115166914835,43.27982018532255,40.911540504312505,38.77032723528166,38.621650348076315,37.22354124188928,34.54095163682857,33.34030709574057,35.102902460955214,33.824540933544824,34.72252108118892,35.68069599568794,35.83642285630379],[27.20070409930473,29.58114862567075,33.69110885645167,31.07152316113252,36.00076326946088,31.2157442406086,32.59946076498142,33.72965801677285,30.247064951264306,32.22241740314172,31.756812723929116,33.467707188541944,36.71324416716461,33.58283277418598,36.426394391191415,39.40851637288663,40.02284863325707,43.20975384331452,45.579753261682434,49.1379136613864,52.05762214725014,56.51958192746801,56.76302468180351,56.82617988229969,54.11137546944772,49.875859751328505,49.273109598064906,45.305747712717405,44.93403321842224,44.019236222406924,43.45415799767992,44.222391946325246,45.557738586789846,49.33298538000898,49.22741601676395,48.51241636378437,48.80946500326616,50.789326575788,51.84153345450478,58.02143753498426,55.564787857772835,54.45635747292268,58.94023834326532,59.309528984655664,61.18242247617542,61.02475897381269,64.96934638067391,63.90127116427484,60.222553218201796,64.49556926107418,66.34939843706614,65.75726224843882,66.81107273782443,61.99400678213771,66.31207633130288,68.65195258379384,64.5474493750356,62.482026406968195,66.84039654564015,67.77948096027214,62.40483738336736,61.94734947638495,58.97522199789862,60.34901184679561,59.530907850715465,56.066408412135495,51.72331927354704,48.38302777220614,44.85261393870609,41.55765087424678,40.350140921343844,40.50252178066705,43.00479985224121,47.61762441434319,47.48752790364326,53.30467627959306,54.195506583294836,56.004808623679544,56.674854099630245,59.379041780247334,58.097339703802284,59.16585425207392,56.9566820524811,59.092429406885515,56.36957085147781,53.76894034639192,54.657340341649,53.98627728682699,52.70844475594955,53.47250045849196,50.24012677543762,50.87915963588323,47.05645394521714,44.95232923824775,41.18243286117376,39.069380386719644,35.89187289282396,39.976856863362336,38.37539489931104,39.203179586362474,43.649238029223206,44.457712740759014,47.54451656484081,47.32693204899978,52.29293535636876,48.41776288366333,51.36811479693115,51.504367306405804,47.50262257536594,46.15174663161581,41.85194386706605,42.26236842026444,37.84466835313652,39.44540741987206,37.71067849019365,38.95055954354894,40.810675181800185,42.215695557790404,43.959011986828,41.18867485264739,38.427260807469395,36.049936206682226,36.113662861181126,35.27347202358407,33.82664373996777,38.28653425431967,37.708860323954276,41.86978203859966,44.70007839643258,48.865171952172794,49.676769848972455,53.76537076192283,54.8378877510861,54.5176438304094,51.42550722269908,47.14072512826828,46.07327180608156,44.28393712639554,42.453619868743196,44.50598489032269,45.5393835109189,49.65733912049231,47.748470396869635,46.136586795075644,48.815197515437646,46.060422055149914,43.818046555144704,42.153442238027765,42.18164460058768,38.186232479049366,39.32940470402109,35.67982043912019,38.595092498779344,34.33559399051233,36.01858673660704,39.21864150021222,38.97979998833434,41.70829605167032,42.62322029265945,45.07996827144683,46.40377897093458,47.93104456433518,48.16283527388575,52.08185495449956,53.59466458178938,52.105409703194546,54.74441075256525,56.48990544315384,53.98919643447961,50.4127692301543,50.79897961904116,48.579601248634866,51.35677395147972,52.02151359992994,51.70130963391878,51.544000463749136,48.60598801526475,53.42751705018891,54.687329400579394,55.98036058815013,56.576792612047576,52.366437503476384,57.49125658915118,60.29627835334187,57.666180028136004,59.81924759566033,57.7463798589191,62.71614326651948,61.930278752173464,63.1464336745574,63.67145065587849,60.56902724182217,60.216701900981214,57.923753864642805,58.37654826241592,58.54237634798466,53.68834106986236,54.442271224941415,51.42529628071601,49.48598536365024,50.91696033808927,48.277735861324544,45.386442314727155,46.35425446598004,47.12549089629466,42.5748746058245,41.19282525457671,43.76110269218314,43.04466103275629,37.80450397429178,38.75738603726355,39.836836976729955,36.01447278527963,33.99179357809988,37.12137393709389,39.03227670917203,42.02332845683532,45.31126416096391,45.885004037353845,47.320306680231845,52.63932116958344,53.456826943205726,58.083114349907156,59.07557215419855,58.027222677653754,60.35208211924515,58.261330675067285,63.021983631579694,62.00350360413528,56.78091105776788,59.81808800659409,63.702603528947165,59.9952252033661,58.21400193268911,61.906536309649816,62.115686115053684,57.774757178840964,57.55823872360614,53.62316342449205,55.23196571687988,57.38645678836947,55.12310604195074,56.181210683838216,56.82125118467282,54.25007901412413,51.989850998874,51.86945320441866,50.82085846446071,47.350336580267104,46.523342148037,45.98525913383505,43.05499089471537,41.614464994583166,45.211634578481956,43.285380800814764,38.61713533658725,41.61648134697281,45.02356283949943,46.10302179982608,49.623838885139776,50.172877142289835,54.23963094733101,51.84525159753036,47.90285892384248,52.648225980771905,53.74898196538981,50.581785082940875,51.01468104297173,56.59830547234635,54.832937369018744,50.64534294817558,54.151419029949075,58.1261300368917,55.45441770774498,52.29046711503629,47.67186949743986,50.99827447111495,46.60473319404034,45.600538993617086,41.33650057946797,41.51347358543622,37.04804415931087,37.579103896458626,40.62698741382109,44.082523066424564,45.52280144236959,46.248438014537676,43.06340984874038,45.8915077469129,41.85505378932639,39.57878409347967,41.6958011195713,41.8632107834714,40.00010867510968,37.53865620065614,36.87806487663845,35.816674944998574,33.57131757664951,31.56422406855225,33.03420471545488,31.948017829899303,32.68704541324009,33.454213716203,33.4000298072671],[27.07834773753437,28.85702517431883,32.55159071441005,29.137690923291704,33.84232401315461,29.567528332851435,30.55322266990166,32.17279290777321,28.401862137871664,29.706936847847636,29.40877297504419,31.74619060881896,34.266908777034985,30.666878869714047,33.79295650129704,36.87099422771823,36.950750016018496,39.96590254827768,41.840419342221985,45.62151896695818,48.2844913923513,52.814469373679664,52.80442093319225,52.651535069185435,50.12918832332661,45.88322366938744,45.5760520385151,41.79051342546084,41.803574870559544,41.373245648442605,40.840406045364624,42.09686959173681,43.69864743357048,47.18745846851603,46.88093934759701,45.73620545203251,46.34825142625547,47.7263013400317,48.6149771063116,54.87235300905626,51.998221706843815,50.88409302669159,55.4014307235666,55.539906386887424,57.16415634972313,56.84019674422832,60.808169594413044,60.007367059380975,56.29608796853652,60.58505245290991,62.655403419364895,62.2814888151772,63.39287076085564,58.678439511325976,63.20927940267529,65.30934629066573,61.05067791526032,59.31523406527818,63.69088610199351,64.27593596171974,58.90167627709756,58.64610001412142,55.879167349081854,56.89634474143087,55.941907718353015,52.689068261411705,48.10854723972514,45.044984926257214,41.18269035380322,38.20266805787975,36.67674928255623,36.778889931726624,39.65014776137328,44.08277474823248,44.38594320498409,50.34284338213022,51.16996758583318,53.33812038705616,53.92721753832347,56.46542496526224,55.496722778526234,56.42272609290883,54.602212367085684,56.52844846640772,53.520283539990615,51.069188775045184,51.72040833463641,51.53043784152092,49.835428127295216,51.05333941887327,47.603926077640445,48.29502224303422,44.62219711513276,42.83070777096606,38.95448122697114,37.04335451983014,33.69221225335175,38.24097416528619,36.837714546716725,38.392453252715676,42.17008088108612,43.31510625303116,45.8317923654899,45.834123574375916,50.49701714031157,46.67992223124598,49.87807033456219,49.806255872828025,45.92799612822856,44.70321065284165,40.241818435236475,40.14027897212934,35.65276733745802,36.69249882026454,34.68869409809327,35.49568301889299,37.22047513850262,38.24452870733502,39.886485351806584,37.51298243927856,34.560554532016816,32.433262060431595,32.250643248123254,31.80453464529176,30.848942070591566,35.32880281041828,35.503092908382534,39.47731811611918,42.573455271922064,46.7526967373074,47.44871387369774,51.715914643318484,52.38413476007727,52.28412249068467,48.78643434711924,44.41202923557079,43.29941047628008,41.121316794239654,38.936889271004794,40.98044358237608,41.49466715915512,45.54548066555995,43.8239146156883,42.46888362428588,45.303099976042624,42.85865751527642,40.61610622951184,39.40650215594737,39.8146898187626,36.09956129229861,37.818715105146154,34.51390755770306,37.99785524429278,34.35380476150618,35.57383323698151,38.341657613025816,37.52416634484391,40.28283714749912,40.67179808088462,43.09928986639836,43.79445343580711,45.12136770590209,44.905307260001955,48.96020333637004,50.374503670677285,48.5468228202643,51.46021335879265,52.979208751266505,50.68116156021037,47.00416394487006,47.655902116565265,45.38482283321632,48.402081610393054,49.2649245752894,49.12160775226522,49.35930325940594,46.36118802064756,51.45701724449181,52.27653663623627,53.75093767059139,53.93020215305727,50.06484650849157,55.03534790836331,57.65572290531167,54.83039396692213,56.738318199896995,54.491801807480144,59.39440324522739,58.22946855980652,59.69383985552453,60.23384793593923,57.34565781614352,57.13020274276013,55.03480960496203,55.71289380678549,56.103155671971045,51.32245541177865,52.453497874814374,49.649527274133625,47.940129737594454,49.77859209087465,47.38529805342312,44.1701771342658,45.1855216736916,46.46668597128271,41.90505279035315,40.00621312783956,43.076544491524935,42.968109026004726,37.3489121311871,38.29995175407228,39.91116119431016,36.208513110068026,33.74525121236231,37.13112254047192,38.571682156477415,42.26638317965963,44.66992568075905,45.39123193034884,47.283586892741596,52.51355135303378,53.840207871777594,58.06279615180895,59.19528802309611,57.862178746363995,60.151662885576805,57.86780165268165,62.48550653338198,61.49204487598513,55.960152630433896,58.903478711711216,62.68882092763097,58.83320171080615,56.873657842045596,60.37789434613594,60.53111868295495,56.175842388079765,55.626520577850734,52.071210228755,53.78209784178089,56.22387642375958,54.38194069876203,55.61328783116898,56.71923174779917,53.949209372229355,51.41193403409829,51.86424103222196,50.99517479309471,47.13532165530898,46.397508727517945,46.41334771932481,43.54955595868289,41.81382823972532,45.779654763597954,44.247163328145746,39.42147478372332,42.289866935558706,45.92622487727438,46.593155235747616,50.0401300327518,50.23034771954328,54.28367606903713,52.047897613795904,47.67688950919981,52.23345223613673,53.40993333261054,50.156418571431296,50.12855254430906,55.833548513684036,54.09611565404076,49.56642540380553,52.83399505272433,56.99031382087083,54.2857256803537,50.89700808961921,46.18360770720905,49.45065628874167,44.898886603551524,44.50010429759015,39.94514422947885,40.345284324481725,35.862286927343135,35.892684459013765,38.794935712301594,42.12176053616639,43.48786205411855,44.62859231852601,41.20650456419499,44.11492379935095,39.8330835836671,38.15564986907443,40.67627054807574,41.340409312204066,39.45536369529036,36.5168851778686,36.3911137831791,35.79683211174339,32.9016398841362,30.86734323162848,33.039457369905946,32.61179491823999,33.599379531800516,34.42917958935058,34.386880984399504],[24.963006302842313,27.035149253463747,31.200211860530498,28.13380313354538,33.39591180099239,29.542492901268325,31.183320856016085,33.101523398976255,29.873834015554394,31.68043941972811,31.87146220248602,34.095637014416326,36.571025365311904,33.27539254528877,36.809450452509466,39.687857668465,39.5881804564296,42.964325047644216,44.93915338171157,48.539842072563076,51.34584813145186,55.797364659769,55.76944597003102,55.440778476262636,52.77078633744548,48.622473500064615,48.0682200998399,44.24891359165603,44.44391141576272,43.918105336221686,44.05903845256969,44.84809765608307,46.73350335925095,50.440459979251855,49.833325341888006,48.65992342059213,48.881090175010776,50.25306490449069,50.89225327069257,57.0127402008577,54.160850643432624,53.50143925550788,58.03107118617984,57.97636731421611,59.70804386743031,59.18512016996416,63.17487180686618,62.34729205603078,58.3730921975891,62.43257166319411,64.70262780899488,64.17884663395556,65.59452160104847,60.87814806757679,65.50398283048709,67.84586693590876,63.65885922348561,61.999939809245845,66.5065816695045,67.12588849157086,61.88624201237554,61.91214990988714,59.23505936932178,60.41407695711415,59.21749049063717,55.837076799923395,51.506397359279624,48.40551344272723,44.66413068292084,41.75984463643041,40.2879097939112,40.724760240097346,43.54263721749225,47.89733699698486,48.03534477777621,54.14355082211043,54.609530918694254,56.83848412875899,57.13604895553292,59.463565715066096,58.22986309095833,58.825903421572164,56.77287514163822,58.43846959953532,55.47036971628462,53.277803747269544,54.29615545504894,54.16473483559601,52.828591125731144,54.28409500319016,51.029862355983894,52.058119835721946,48.32537535876006,46.36072909597007,42.27682540963346,40.613778350025314,37.042109327829984,41.210729825216085,39.42891467710345,40.60713081039207,44.495598561922925,44.991292247932506,47.755119523788544,47.13989445803918,51.59350173355822,47.45683317332159,50.29116555219431,49.94849957825957,45.835600827710806,44.97826929266547,40.44390109983768,40.88762020062837,36.62585820047782,37.85161011127782,36.48503540083876,37.23600981949244,39.43102861830118,40.33477499148101,42.62380078128701,40.33027598349465,37.273575852000704,34.89453078926075,34.17265112738905,33.38853917900133,32.06412243837288,36.14597300345524,35.721116056749715,39.86415231677478,42.69413863098414,47.15327980975926,47.35411430681834,51.63262348830189,52.5639460647259,52.77640341635751,49.221049480711464,45.01100635410337,43.33475174603785,41.68605797035973,39.785954369177645,42.21479267957071,42.94717244334018,47.28028952397861,45.868116520569075,44.28924868090646,47.26335352474429,44.972307597697124,42.484030188709625,41.22540534781056,41.28321057840881,37.526318759326834,38.84648165410635,35.807183887671364,39.12419405398961,35.536913513306565,37.335925281473244,40.07046183774659,39.38295009524199,41.72616028602322,42.52750817792877,44.36882424677638,45.12344841528917,46.97512939787612,46.48053811760516,50.68922276115441,51.67215694343294,49.59206969720652,52.19120283447686,53.53153532378038,50.908856350858194,47.45849210953881,48.1382179425895,46.23062910811957,49.48898616539827,50.57191776046538,50.69320247140504,50.91207127945177,48.28974268843965,53.341353559844464,54.08872320897536,55.29544414870192,55.32468168522888,51.10247631834039,55.89861673470965,58.47393033050926,55.75403617063321,58.126686780652456,56.2087431599164,61.07947556776145,59.799212993771924,60.927733266471336,61.1777626743623,58.26162646371724,57.64208911953796,55.335722553038664,55.778824180607586,55.825992927157,50.951570701120666,51.863748446868705,48.745228518502856,47.29018936010036,48.67654286623269,46.50149159989422,43.399316053421465,43.870473401165235,45.01311318698128,40.64218843601459,38.468349547295794,41.208280588100905,41.2123497738007,35.58927076922711,36.12740446380408,37.55120698515242,34.12092224678209,31.422264310110883,34.31478748404953,35.906511455468454,39.400846033140844,41.85124610461364,42.88788227483145,44.62806167797376,49.89053169234489,51.08969718440113,55.53082398818831,56.885192600982116,55.8443931169401,58.39449747517703,56.46803232933758,61.03348400625948,59.7083240897331,54.39011046721835,57.625520785874286,61.16321671773708,57.19748912201665,55.55420097423446,59.25269264766565,59.007040226585495,54.59047816890124,54.63147495778426,50.853453621207194,53.058606757108954,55.3408721501567,53.28881620226765,54.80367500852824,55.75440867679227,53.37669724874702,50.63561665476855,50.70530770681024,50.16294136893075,46.46582436278903,45.228470253350615,45.171136392862834,42.43137463379739,40.41231543921547,44.057577068168314,42.545798313063834,37.6935330298433,40.16559925894293,43.68761259329534,44.3676479973708,48.033036807858274,48.57600672673158,52.457271796352245,49.82297725087948,45.686887043223436,50.43887113769291,51.2292711347692,47.888323514217426,48.25818758228037,53.77548905643445,51.66323323745613,47.360697532841094,50.95189391060372,54.77939305403035,51.80471685516033,48.566968408317805,43.910444715439255,46.87470914821448,42.325809847791646,41.628001414524824,37.39331065015005,38.10908118926657,33.8535960942184,33.7213261006387,36.87076003527122,40.09675451584198,41.82666694264506,43.02444700371763,40.16383268980671,43.37424255406622,39.47025311167237,37.41628385385326,40.263713988260335,40.65588944000134,39.2986489892508,36.18677545262371,35.42187341370808,35.07456500797304,32.80767853210996,29.995829813653263,31.679915734040407,31.289328289928243,32.021407033740196,32.59979660535184,32.2884081573175],[20.984520514770928,23.23423938382828,27.48666171502647,24.8261086422412,30.11763089567189,25.938846793242025,27.823496703544087,29.558968698362296,26.60949776477743,28.88331978153,29.2035351974094,31.12157190679397,33.84402892933927,30.95177674216463,34.54442355620408,37.24465674062549,37.3383313387091,40.995358409193216,43.3778471971079,46.694892747097214,49.774250850703346,54.11379758322834,54.30501509461746,54.0950596755039,51.1738051267708,47.08471108607922,46.169559131996685,42.20483363920494,42.21129508260381,41.36786538282926,41.87951488778279,42.173065905178085,44.13637383497676,48.07286949927739,47.34566787376941,46.35848758938866,46.21860919984676,47.9074406647244,48.54967533860967,54.555705720472154,52.02631555788133,51.53887437648378,56.041881800697766,56.09251363580799,58.08218742968473,57.65434606458238,61.624366031649494,60.53594314709704,56.51930439509515,60.50786088179048,62.62074353408953,61.89556369118689,63.34914445466395,58.556233148372314,63.06847179819754,65.6654333978014,61.621531429667066,59.774088620299935,64.32963356841276,65.20286767038496,60.040301645061426,60.096589141716706,57.35986720259236,58.88297556123932,57.615780952488414,54.0105796827773,50.02362183719977,46.707993381250986,43.30475831095773,40.24193917901902,39.04693456379802,39.82657761037363,42.30842484736213,46.70307517131758,46.41236723574966,52.56048963796882,52.763395218442604,54.847352880959626,54.97396351092031,57.25275344541138,55.71372968303297,56.22530258563682,53.887206988672645,55.561853495123486,52.76751124435255,50.58534129440981,51.888337717948126,51.53793407195535,50.60783958633132,51.99314555623866,48.98398795571314,50.263704494415464,46.429747320675524,44.21465018593874,40.02347008561558,38.502703991311975,34.83301392846952,38.561425091981285,36.50086862502455,37.31404443889896,41.382991009334646,41.49922477598859,44.52579355384354,43.630756061989295,48.14620409307655,43.934243993094306,46.61706349302747,46.353276695622974,42.18250430857578,41.277330272810744,36.81428088175582,37.55839149518156,33.37607769977151,34.95761186168236,33.90547924617839,34.955243864625785,37.37393225620554,38.5760371317926,41.18121248096681,38.58388922254356,35.64999887683864,32.97082928889173,32.301689062708256,31.108296389371016,29.355174799577025,33.36665135503167,32.41809166785121,36.67201299003256,39.337456220064034,43.78462960368978,44.06753224816086,48.232817495180626,49.40150661317691,49.474851439907795,46.178631242131196,42.03707446724384,40.42398527206954,39.04913595188599,37.45762545568957,39.89837675910509,41.14498393093214,45.5660652557015,44.0313716353721,42.17473939364098,45.04667202552894,42.57581825480172,40.02280980493748,38.46219808644675,38.213971607697715,34.31874432679595,35.292364751330545,32.220221557193206,35.332659412351525,31.695309587854343,33.777125753522725,36.555064329440654,36.07250138491131,38.24693452808374,39.3791982803239,41.05323473356684,42.14934923564985,44.24248249673665,43.9818964503441,48.11514736143261,49.08804759781725,47.27299545654327,49.62822999343869,51.17717089330724,48.40980235467101,45.03147531971347,45.47495854699278,43.60721028949742,46.69539484869538,47.674560855459674,47.743925572015684,47.74989041907799,45.27792680859614,50.1814374029246,51.106745585034524,52.14521885674178,52.36511142303578,47.89339153296218,52.750917666722934,55.433491172889674,52.85190409368133,55.444484518533066,53.714031312721566,58.61423256494747,57.632106056797326,58.50781485450693,58.72855088825908,55.64233944412968,54.91531415963949,52.473324663699344,52.76813377621687,52.70239085064282,47.79123477958335,48.489219381393156,45.30220144971292,43.66797059353825,44.92466874520292,42.60015318806293,39.62555541562414,40.17973069189688,41.1182350347182,36.704302677221456,34.84561221574987,37.441992803078826,37.167864909614565,31.67425557754975,32.36146745291958,33.65072919320097,30.069885918231797,27.614136307228538,30.657108106961296,32.38848510925025,35.69365118982134,38.54537839815656,39.31194050807032,40.92699441275788,46.21785839614867,47.29621227281856,51.77831286235057,52.98662410144398,51.935381528096826,54.41771119069836,52.470154899177444,57.10656102570169,55.86282041928224,50.60762316826546,53.813552715749964,57.468668912861034,53.611893058801925,51.96497957534006,55.718439488379,55.63268970130703,51.24921528594275,51.310302667852376,47.3558889533145,49.39889538276427,51.56454264042373,49.3618368630934,50.777239421188426,51.60060710730662,49.25250782161827,46.60696376513151,46.54114462320582,45.928353215637124,42.316875606777494,41.092092023625554,40.90970552036643,38.14472390585033,36.21427454731792,39.84024949000504,38.259958904926286,33.42599622445525,36.02018830061869,39.541685109750645,40.30588784564555,43.92761790308354,44.47733526590115,48.41268438420466,45.85315771531575,41.77485043202761,46.54486933988678,47.443839362670076,44.17316440089076,44.60311408948502,50.14003785517877,48.19338458804759,43.963247795563944,47.55121221816233,51.428571597350036,48.627825688748835,45.449510206897564,40.82390396600456,44.04514401930039,39.62982941109911,38.66955223670698,34.41184147898375,34.771831539601166,30.407395250970954,30.72273652952885,33.84740451390003,37.23976398551018,38.83292393172255,39.6969580425613,36.8052337223395,39.897056850420334,36.085241630011026,33.7380645383404,36.372571984830586,36.595565951059555,35.250164258671724,32.2941684931972,31.36463939668655,30.874338741273114,28.803140134980566,25.99776643982656,27.51092635988459,27.006991366615516,27.79519061660306,28.487082844921293,28.357473666790337],[22.674604526509437,24.60695492840266,28.35885916523354,25.382259139213975,30.10863382503585,25.418350849238976,26.663278253691104,28.05759039841462,24.552553225975426,26.435899982790193,26.27659205030872,28.258290740250843,31.124507792708236,27.986240012284743,31.214109635347942,34.098666880993726,34.421351054231614,37.80874916963,40.198388351832634,43.646552569832394,46.656590811275834,51.06574818379388,51.31362209924848,51.29618319175526,48.45967912876791,44.27538706280785,43.524009789962456,39.544049153735116,39.32951536333776,38.50523815769585,38.427687282698024,39.076555850255545,40.782783906555515,44.57893448557183,44.123052878314226,43.202179849006136,43.37283065588554,45.146137716980235,46.03904453546641,52.181826066313896,49.68111254141155,48.78219592797485,53.281824541514595,53.541832733404135,55.48443796956483,55.267789428240306,59.219234187041295,58.100410144579854,54.32289784530174,58.525230099800325,60.42676981223306,59.7989560116053,60.97037927700783,56.15652472335121,60.56535216539373,62.980695519960165,58.88716414205064,56.92178468450551,61.37087143612521,62.26602347297847,56.97466614818348,56.76363598376175,53.91699511271259,55.3614431142156,54.31080798613499,50.76987410290696,46.60016774074525,43.25803833338127,39.79565823342434,36.60311957176515,35.41591816432817,35.95920724506088,38.42171865599343,42.92362844671799,42.69323968526688,48.72836984826573,49.2272469522688,51.22718818380994,51.60495620653453,54.090494414290276,52.74136667413262,53.564912737011575,51.389403328017835,53.331764886285015,50.52594484682375,48.079035222902775,49.081668717399296,48.62308439912472,47.42096110121111,48.56052821710196,45.3987117008068,46.40920523581603,42.58992839503755,40.47121382641668,36.432578994302176,34.68263625741295,31.1746488343153,35.215476976326045,33.45618998445128,34.57337324849614,38.61134404761819,39.312170031646446,42.162577613013376,41.83397105816455,46.59473613068808,42.67639732311752,45.708132719997394,45.731865729574935,41.77843345022809,40.488609986991875,36.09953688411356,36.340668804509676,31.91656826153098,33.38571209290992,31.74032303906841,32.9162916425621,34.927847474620265,36.31603237277239,38.367461418045,35.611832515795015,32.78929458428601,30.27083235472157,30.146060673244403,29.198265022934475,27.721346125640085,32.15436252787402,31.726920101053256,35.84206545084334,38.75839225251142,42.93380274224053,43.72616133109452,47.87007283594818,48.81562032426544,48.55745862847292,45.35272573656766,41.04791216882597,40.00325007553307,38.14021216776522,36.31114954588188,38.38326893596559,39.51225716230083,43.69237784192734,41.827771235624056,40.129122454431716,42.855228365408294,40.18625631845881,37.851435311483435,36.26829123404641,36.31187225454258,32.403697071631534,33.72666956238625,30.34107352046335,33.60908364778833,29.860203576445915,31.414531336882355,34.26893837415822,33.696257082149685,36.283532738788,37.071041794229615,39.32180895609077,40.42870871440824,42.05206872696948,42.11307756838305,46.09731797296334,47.49819852402789,45.96995085169802,48.59680783596328,50.355818078084155,47.87729875600537,44.280606075509084,44.66123675906683,42.43619585585375,45.26604513475084,46.011526220699054,45.80836444641282,45.79298704350387,42.96097941815019,47.90245862810055,48.939165054395836,50.21589412504633,50.6219633105829,46.44344763046358,51.498058901941874,54.249640368710914,51.58347917207568,53.76529997642079,51.74358646173842,56.70066139373044,55.87346792485225,57.03212404852509,57.53103456430695,54.4345994175231,54.083838927262335,51.81968848279037,52.323322452241236,52.573725628828804,47.747605529181826,48.63287134606284,45.74649806810417,43.832108952611016,45.52416551851231,42.957776480064716,39.88661828090381,41.0023613214602,42.051871807501726,37.44238269984619,35.90710776291236,38.81610800362491,38.39260064972079,32.93349253443385,34.057762287858836,35.51772477448786,31.656645731174752,29.480399328114963,33.02452099683368,34.60594166941006,38.07953421217512,40.91048809228747,41.33705771665411,43.084133435219485,48.33461035447808,49.52779406264846,53.785733880741276,54.750720782663535,53.41335405504804,55.62971558256455,53.32731172054228,58.02337574702628,57.11604086423772,51.666530690326724,54.57744298488112,58.489129177730774,54.75857037043004,52.8017742201167,56.37228400984739,56.696586635171656,52.37649192981069,51.86387794776829,48.10389040258817,49.63446165079497,51.94318114629215,49.926535250047344,51.04242137533956,51.99870379727164,49.26309582108483,46.83640041616985,47.13347330269602,46.179989160562464,42.41595284499943,41.70181786439811,41.57236041205631,38.676463315092576,37.055466757021,40.99829240874483,39.38630858218232,34.595913184582,37.60661162234475,41.23040121579146,41.99258719731898,45.38132399144075,45.579181449717616,49.68719097639068,47.53784718352563,43.243506681085634,47.813192507713374,49.10641214663444,45.93730769446867,45.98039925394095,51.69683159291373,50.13632862780547,45.70107228084833,48.96449839004831,53.16449490970765,50.64785802143906,47.336016930142165,42.668884585443514,46.20832748549784,41.812502100046906,41.11610975816218,36.55333614088557,36.566878387233274,31.976494603833544,32.496088652640594,35.3634537195112,38.86487647487113,40.08193612004093,40.85351599309318,37.39827717090703,40.17046734267015,35.98642153555554,33.97654285648171,36.24483176055822,36.71934580436041,34.8245486514086,32.071909830102705,31.78193916952734,31.002936867664708,28.2995052372765,26.322615206939613,28.326407379319573,27.72322685412269,28.744490048470496,29.6728168586866,29.794598301126886],[24.26831384136092,26.56528754367212,30.34080663774859,28.01010080943541,32.49339549246203,27.092138785029917,28.276625400724416,28.90587218911316,25.404108569298693,27.629657598017467,26.953392125696677,28.29220490403489,31.9346040935885,29.151961475703164,31.75473674091779,34.63023948830258,35.6354275066815,38.93355927345654,41.757259226874865,45.054158103271696,48.21924238063213,52.57659507769736,53.09350002895313,53.408177787023796,50.48357817729939,46.284307536803205,45.38756903019951,41.27865376799455,40.54710604849628,39.28207243535906,38.742446622852555,39.166642000490334,40.40228359108729,44.34191849227744,44.282849188498375,43.83530845138017,43.92269258279846,46.31492920924498,47.53061781833978,53.6379134607491,51.571407869992434,50.39709461788321,54.82625587981182,55.444907438307325,57.56818777887969,57.652131238981575,61.54338479976555,60.16683522080615,56.61256862066569,60.913755914902204,62.45749558274654,61.69695809493903,62.61485330152615,57.72389134879613,61.831738419813995,64.33138860160417,60.37167200146759,58.02804748445844,62.35825579101703,63.59278194905203,58.24358381506685,57.65619914531557,54.5559092507212,56.266621523106934,55.50644821904407,51.84065719192583,47.793406632515435,44.20872129736757,41.05162316483652,37.51183559622031,36.64256830591458,37.03799806771414,39.11494431146834,43.81587277279277,43.229129683363574,48.9942149050461,49.76670183671993,51.349930039905004,51.98262046668332,54.75501995613189,53.25356976201228,54.42590212577994,52.01041167987143,54.3265133619108,51.80619213707183,49.052676583588706,50.06096434188492,49.06979464517803,48.08324352159368,48.60049335292075,45.56310710558912,46.316117132669625,42.39598806800041,40.06502930406967,36.290867975245256,34.187964630198444,31.03181420711061,34.78201027725261,33.07090484794869,33.65378772189563,38.30003735286355,39.07458182543192,42.336538070656985,42.19090865552707,47.37035227202381,43.63537601852941,46.63016166558841,47.05110568249186,43.163573401003575,41.50737111176335,37.384062469354106,37.78621012150559,33.346120174352315,35.255930904958134,33.49472433500366,35.141662645616364,36.95772086220609,38.79855022638861,40.51925805609294,37.331884592851594,34.815544079891744,32.23913607166024,32.72486938771116,31.610042052086033,29.89706161933952,34.48527194362239,33.68647569867309,37.817312105155786,40.598486484599924,44.52931895903359,45.76040864190723,49.67885168783281,50.8527422418817,50.1675487657707,47.440769418942615,43.163071225318426,42.546338028206236,40.756336968930334,39.127593445193554,40.93168846737196,42.43550654067322,46.460255382543934,44.225880602952884,42.424713726765894,44.87068296206984,41.808626431281915,39.66012754320086,37.65226072483393,37.52859297585891,33.404198446092074,34.370350913332466,30.474203001850256,33.21602114454706,28.80320701801519,30.437474928850953,33.75068245727207,33.71279815709131,36.524531690026926,37.58222622300844,40.234212286810546,41.94496772388948,43.41626736914107,44.12220825088753,47.82951003609316,49.597532560295555,48.59141136072307,51.11992245755272,53.20865448688933,50.7549718377765,47.146698986778304,47.23745022328567,44.85104685942653,47.24994825672755,47.64153893236264,47.0847036036443,46.674288603768,43.68023306299853,48.3321215932511,49.86302759336249,51.118987575499006,52.04704996388064,47.77864595740075,53.06865626955521,56.01964466571367,53.5022106506188,55.61812142390854,53.576788279420796,58.59391867547177,58.228742157362156,59.34141401623905,60.00807744799187,56.730825708038175,56.50663746281429,54.19510147622574,54.61959908218558,54.86904551072598,50.06772872832393,50.71090517907331,47.8424012562482,45.543628649394925,47.114032236095284,44.1734368170983,41.38348815381876,42.80748530384919,43.42896950606055,38.74656851643786,37.93754383157757,40.53271814566282,39.428869178822794,34.41837450406364,35.8093313812735,36.85088857304779,32.73151684695546,31.190232271000387,34.762087599349684,36.68181281142512,39.567563817008455,43.19910200449317,43.26853978032949,44.65698250016743,49.935637479764054,50.71519248600127,55.189546913096166,55.86047113903799,54.606143912750014,56.66887387242161,54.324167997864045,59.17290066763988,58.47043379396197,53.21455592278478,56.00178404122442,60.15698922019916,56.66827763328715,54.68801538561528,58.29807510526747,58.94009417318508,54.69770998717848,54.13201153889072,50.16387670291597,51.25222620045519,53.36383606521281,51.08072523180148,51.82329150507679,52.41737423909476,49.62527450344695,47.63137841686301,47.61582276771941,46.26386102110698,42.80294607376861,42.35081356362565,41.717456565673146,38.68939946348636,37.580709135563744,41.34564022132651,39.34115943615049,34.76889693293368,38.16190009303707,41.60993563297501,42.76165597165877,46.04593931422621,46.35222709629563,50.56510010148666,48.54892410629445,44.54651047294337,49.1349044956702,50.6079135901863,47.60491782275922,47.833387053962404,53.51712486125445,52.19047413555281,47.96960902652887,51.22838504362118,55.442467886931446,53.15189024519232,49.982342652725926,45.40942137477408,49.17878744839802,44.968575941048854,43.881546615135406,39.438945914862344,39.03131196884527,34.371892560397285,35.47886672282284,38.29265506180209,41.94269776356759,42.985578043350394,43.302107343006,39.755331581279414,42.21260258968803,38.07868784928048,35.737476648139044,37.33682904319621,37.482576665249546,35.26050501628579,33.16296154156473,32.76878802280564,31.337408181534627,28.909875807901255,27.558025898805028,29.136063761196027,27.813580287830334,28.73201562753189,29.752927450377882,30.035550368038166],[27.857544111846035,29.67041066457689,33.0248577784022,29.963580190038567,34.07494553717154,28.916962742191505,29.45112236773899,30.248733907898966,26.184634233355112,27.520497991034368,26.533208947514428,28.388864553162083,31.578419364518894,28.182907086997567,30.576451406071627,33.721747716176715,34.512521578012304,37.332727655943124,39.65967197771923,43.318193917422676,46.12978551796047,50.62306201092704,50.928700157744906,51.20548973723933,48.596815622241756,44.304828196345646,43.88510075317413,39.96000945149222,39.37475455856821,38.554913778936125,37.36412193341839,38.59216999669366,39.69791059715209,43.22920677806528,43.362375692983534,42.65309117506289,43.33055005982891,45.29394724054522,46.59677992420267,52.872097597880696,50.44539849642881,48.89130276863774,53.333974554601284,53.92254920675028,55.733734570460044,55.82349746595046,59.71568786328986,58.60833770211005,55.23202346980699,59.709869531272325,61.30684384140788,60.83554693206685,61.57056541911811,56.77294046211295,60.969409817275846,63.074766612465154,58.93087138127258,56.78041155202001,61.002008418538125,61.92847204844998,56.454025807780575,55.744806143739964,52.7003783451454,53.96781310715378,53.356228265299386,49.98779958556081,45.489531711080765,42.16218274157959,38.60332079279312,35.22429029900024,34.03812368520035,33.9744708334299,36.42179340657972,41.08846246361355,41.03134890692435,46.71760335302035,47.86960391348677,49.63485521368283,50.53133390190167,53.40156960464126,52.373550299353155,53.743008878727835,51.79764401149807,54.17603869788361,51.420745629344346,48.5704876438653,49.08884757247136,48.383126521084314,46.7635813589476,47.343601916891764,43.94645382092274,44.33487795290966,40.575827738642474,38.64260121757026,35.04269547563221,32.75943361124821,29.760717042799914,34.222257848003565,33.02657252968638,34.38572532889971,38.53574331013715,40.07446601784736,42.77210786300446,43.2482826211441,48.35975482716867,44.88307371667292,48.257130399800715,48.68418752116514,45.01393376442451,43.25912679255697,39.07684579342816,38.79518022557789,34.17853605307503,35.53056288492527,33.117076620573414,34.44430851020538,35.787525779547266,37.378957846111874,38.46852043112716,35.56061586731257,32.97966776901618,30.84326524018255,31.54038491431903,31.01699863377069,29.968637466107246,34.800226139397026,34.936062891522226,38.820721194583705,41.938241142260885,45.72572356309194,47.11444140540925,51.16003942471355,51.8900031500413,51.211700057006276,48.2037405628391,43.77213880107109,43.39849160288081,41.02068344740918,38.9265328643357,40.498062743695044,41.38053339129608,45.153681889296585,42.8791311848528,41.47421611372246,43.94854696779037,41.02897340381255,39.07335979035576,37.4621855611807,37.88223998408909,34.00469556547604,35.64578458404121,31.806570867512857,35.00023877971971,30.915863025491443,31.80615913527571,34.88838052589148,34.39368213774948,37.54569720584239,37.931192127726625,40.99868701881629,42.20389391044555,43.141866877349514,43.69364966598804,47.39935398637766,49.37867846181082,48.23316219109287,51.17739351175512,53.15163511813003,51.040579971228,47.23695803390374,47.5528552428224,44.930435420688816,47.38383086659627,47.79096687737147,47.18633816693725,47.0761908867478,43.75665912727496,48.622666611195676,49.90493261558624,51.487540102254954,52.21659864535994,48.448453947239415,53.72336334736387,56.555946888087455,53.82472748699644,55.448335079908844,53.04215948247909,58.023054063849585,57.40748678114565,58.954739534207654,59.808375038941506,56.73360840631631,56.84920351366385,54.81271416262758,55.53722728686213,56.12184265690196,51.42551019854911,52.45775544621853,49.87556197418804,47.65891202078379,49.694539675478154,46.85008028583879,43.79565302774277,45.44189046982755,46.467970627464,41.72712252146198,40.62570591301052,43.668691258161196,42.95165305854829,37.69820219680063,39.16827181164077,40.604601174578164,36.52065338645023,34.71884965705881,38.51452753307624,40.09264681583625,43.48607145904504,46.49287619372133,46.6495276507294,48.375747669146214,53.591696353729695,54.71957697171274,58.90358797037039,59.61872393876387,58.11649904006111,60.082465286541556,57.50180349013213,62.26858773072347,61.686341162477476,56.16422137450145,58.78850512412721,62.9497425587283,59.38955781401887,57.18580875776044,60.5874217522833,61.308459748975004,57.07059710745213,56.06899487079883,52.471981038725914,53.4581961102535,55.835246298180806,53.92556907712845,54.66292218932794,55.60675879975097,52.52798473178611,50.46176250239825,50.95890683527939,49.577648976749344,45.82851770997382,45.64201702061269,45.366526859079315,42.34050036675151,41.17233495397392,45.24314878074374,43.454746879503126,38.826447451331035,42.23803240642948,45.832361569947324,46.743658491804744,49.924964417162386,49.912929466661296,54.160330308303884,52.3474861375178,48.02235171028671,52.429878432686216,54.044927790480685,51.000926492653534,50.819950761230686,56.630722266237605,55.38811969081624,50.87512290244507,53.89100848805685,58.30602693603053,56.02261903972296,52.65347116251676,47.99121184936341,51.7311386237835,47.371038448588706,46.80766827743144,42.10665382512576,41.862583010079206,37.154027295136956,37.860414109178016,40.528169583542656,44.08132233769678,45.0088536976648,45.66420997906094,41.77806403341996,44.19346106171127,39.72607652151298,38.00017619593454,39.74710597398024,40.34398269146306,37.87009829514463,35.55199601060882,35.79061574751926,34.56557716879754,31.448537686469166,30.42730690842468,32.63196667646516,31.686199873548002,32.79180325471715,33.869588095353485,34.14421357808971],[27.51913778665873,29.576201501510226,32.80635671074704,30.524860424398494,34.274213209869295,28.355799264944345,28.86256688123315,28.78061468258735,24.90141998012765,26.77761591689325,25.350250070054916,26.334880675764403,30.408519398020527,27.676429778736942,29.43514714265296,32.412509543219564,33.99934281708849,36.885803764503386,39.89222166427338,43.16976992823922,46.29548725624047,50.627682798708996,51.33554148852356,52.00489228072297,49.15794756467676,44.930847866177764,44.13081092909155,40.02503862292061,38.81962413906692,37.37198958680622,35.975463037944515,36.64798976210583,37.326130219895546,41.12805175481772,41.570594796694444,41.45138097493458,41.814582813298514,44.567924204559866,46.175972965126384,52.30581815830814,50.51340357424615,48.81732435781034,53.14641873532684,54.14232365904647,56.28727682566691,56.7247780557511,60.52489678836427,59.003351922053646,55.830514785080595,60.330927269090196,61.48054903746542,60.75852408520675,61.26952104759221,56.37328946540214,60.1897802184618,62.52795641948719,58.62347817873904,55.998460972058155,60.12152468236316,61.53627545072755,56.08465636226296,55.04455414275221,51.73302777779682,53.491017454363664,53.105242136040545,49.48021125872774,45.37727941179035,41.69086502654399,38.7088069469728,34.91845867729635,34.26659510204652,34.33411863134853,36.10970795672675,40.946909463759226,40.224464476076626,45.64170563848882,46.85350749424973,48.1083910163503,49.12596991993531,52.22538091074808,50.85716953041137,52.50594229111777,50.169326418177604,52.90707510422301,50.546365130475515,47.418453814405076,48.11163833517926,46.75414046696778,45.61394192908457,45.54189625334793,42.45267602971577,42.772293627311434,38.864218313667244,36.554158292656254,33.16935057958643,30.65231461292949,27.973010864359303,31.80326778792732,30.505113396000116,31.127973823719575,35.942765559032914,37.369608157182505,40.575426757006824,41.110464213508855,46.63208196186744,43.34434072481203,46.61088599841027,47.47438160626287,43.897491922890005,41.75136067885,37.91620547970981,37.892871222330285,33.350499300417304,35.291929789204744,32.96038841811874,34.9070186901096,36.179135686502896,38.37729082500251,39.3588030703433,35.866524587896485,33.702778101778314,31.34152306874341,32.64386904315511,31.717055082341115,30.22014927164366,35.096378389990335,34.64033032915416,38.525544046185715,41.4135567857572,44.89752107505825,46.77408461031882,50.512579630244524,51.555406324596404,50.37966605732974,47.99406846478656,43.655962796347104,43.76343410590473,41.59934767383126,39.88466852820631,41.18124424684061,42.72189103199379,46.36721583389908,43.68567605599768,42.020895440203766,44.1366643619901,40.751135762853444,38.9608772250816,36.773702503721914,36.863409866849835,32.75149540172157,33.870139659748595,29.54814343420813,32.101511755034274,27.41004191976248,28.42094410816203,31.94187065507363,32.07869740908381,35.356096292159904,36.15600860181575,39.52565958587475,41.48979934657236,42.39298694378193,43.710459681615305,47.06963592487719,49.39258166667634,48.91774587184387,51.61354321514143,54.01538494293405,51.872533609671244,48.11736373185622,48.020505557043954,45.274029600924734,47.18678267757037,47.1820059353543,46.20122068035199,45.58968702538543,42.207988851408935,46.676513518712454,48.53338040091737,50.00003035360923,51.34138279749124,47.38918224513165,52.895426647062344,55.96326769109825,53.464213071397054,55.12557431123318,52.81998963119331,57.85167577779619,57.862648630643,59.209161504950096,60.20876711789648,56.879037066658185,57.06884183648499,54.93373040440345,55.51242078655372,56.05564286429919,51.40677919959626,52.114653968039974,49.57277731147653,46.90079164770129,48.80249760450673,45.542091995073186,42.82656439863591,44.85609534637537,45.409585817911136,40.615587753118945,40.37851949644658,43.087780491990195,41.63289477012375,36.92685993626692,38.75420689836798,39.786031567736025,35.437579412079025,34.37960365931739,38.295750881049884,40.15733421640392,42.95552835283449,46.77437109701392,46.428711163261504,47.79626543113064,52.98204956769034,53.717778078021304,58.015613037482346,58.3501738160261,56.86922987676484,58.60199309155636,55.9301831593337,60.84055454144713,60.54118402613385,55.23212703536225,57.66246007342445,62.110450966408195,58.86562562781828,56.60965201855168,60.025949595839556,61.16589323579455,57.05325859272141,55.94759730315532,52.12541897580062,52.549789068601385,54.689854877139354,52.50990245640679,52.80928395393747,53.38350310166261,50.229738399488596,48.65313017845403,48.8676939140051,47.05305821195326,43.62741729038629,43.77816016344681,43.020692662894234,39.88606880318855,39.28972838515991,43.2053255238563,41.076266776798384,36.73780679708756,40.561266453401366,43.974626293600544,45.23484049600481,48.211673572486,48.21998883746895,52.57224206417026,51.01464865522016,46.972964415113886,51.31622757281542,53.19889977688632,50.38365813431379,50.32408404508088,56.09244922953332,55.21542823079558,50.93138565995177,53.86020338757005,58.3283273032284,56.39644113832043,53.188138039081515,48.66168235310959,52.74897882849636,48.65887059127147,47.67542876210909,43.06874543408525,42.23570536400875,37.452154633577365,38.899653228769374,41.43322328829684,45.17135503829623,45.81513607311581,45.87848812024429,41.865400392922595,43.86345548579522,39.501959429900495,37.39892834661107,38.35140218706009,38.603124528782786,35.78334072925123,34.21304025305975,34.390370992213185,32.49110542494314,29.660689701456953,29.389991016411418,31.1896617638196,29.58400753764106,30.659551088682456,31.894331697516364,32.438344982106294],[33.225857856029926,34.9668525857916,37.84420599627118,35.07064624361215,38.390806889096666,32.618741500941475,32.46577078000146,32.30498249639505,27.961405346845414,28.917067379744175,26.946788587053117,28.184409914306325,31.95051384264366,28.755255909637548,29.84257774519288,33.061043985288315,34.704681871294206,36.86834099027061,39.41803672123657,43.0100858460495,45.720589808651226,50.13679848514698,50.7140435864766,51.50578247454906,49.04459419246493,44.75710671514482,44.4864067128567,40.616151673623705,39.34931812719489,38.2528708825805,35.79189100768784,37.358959525197605,37.57279517843362,40.84584487634054,41.77439974227185,41.594463854429776,42.651950468224584,45.1545145504203,47.00901113646938,53.245811447464476,51.25090818071485,48.97105163825147,53.22595750905853,54.358322833831245,56.1847187660465,56.77473629771721,60.50980997120957,59.2059821691431,56.389607332582074,61.108920286922455,62.143384517780426,61.71528654043754,61.8731839952168,57.097391811622366,60.833256964677986,62.70741558980395,58.67728843482227,56.11747154843319,60.00011489873307,61.20017820290779,55.60693618265972,54.20517435192115,50.85339068986724,52.16854254448273,52.15346684807775,48.886107677290035,44.326653787568375,40.89436031259675,37.626044017053616,33.92308987098179,33.065987093038146,32.41006582845017,34.38992801571867,39.21464945298776,38.99324611262717,44.042516697598764,45.91996074955938,47.141312087321495,48.651150287480704,52.00777373707716,51.173919912599324,53.24069296101964,51.38546456868461,54.35439517466879,51.879987568886115,48.52380555973254,48.60457993998527,47.333723196569,45.52619141892346,45.167896304722746,41.72740601164465,41.38176744296389,37.69395211692003,35.83460430745732,32.94523761759135,30.0195264466091,27.88956614983349,32.35244770865228,31.791909247772857,33.068420426405496,37.466174120392154,39.82543919800489,42.49889697582921,43.842703752169356,49.392037482380054,46.51706097602745,50.14362623351789,51.15679961748774,47.87008001232731,45.5146917143133,41.76767824002312,41.0808851466522,36.4302383697435,37.89077980527308,34.8372226436497,36.569622044292935,37.17464718420377,39.237114691385216,39.27455022612746,35.98465602201282,33.95889205304173,32.172590542504516,33.95483248308342,33.65050248818104,32.82957895117573,37.908959497092084,38.30854658313913,41.88554194019689,45.0406892537447,48.24340307980177,50.424704025330136,54.18524832345915,54.82790570631639,53.506967796267716,51.0218815220129,46.57612922969848,47.087954391313986,44.35275080745642,42.23048834071334,43.1514028652392,44.11348120705793,47.34867525485352,44.49614786637939,43.2801652214613,45.26844449619148,41.925168459574195,40.484013845258495,38.61338854595046,39.25302694338128,35.42212372038443,37.11428600667863,32.76060559701758,35.514155248439785,31.042923857229844,31.198476452065762,34.55997381714002,34.41601108871438,38.109363011933276,38.23496195557866,42.198939583021044,43.81500185708114,44.01681292757159,45.42393524249147,48.60981704144392,51.31257909057217,50.899121276078446,53.994581695873066,56.372843394175455,54.63214605282761,50.695453646570584,50.74097665536834,47.70635790602627,49.486070943996026,49.349199793620016,48.16840960317158,47.733763713558574,43.94280460472735,48.453379196948774,50.23143468465978,52.05689265437701,53.3918235058426,50.02000033246727,55.54839261699191,58.53818443905594,55.88236038020425,56.93378960082233,54.21458589539603,59.18141212047177,59.106695978370006,60.93046168498499,62.20959356374955,59.06176732125712,59.68230805739195,57.848452733182505,58.72034591189632,59.61744905402071,55.119192369361755,56.144744888028434,53.91443149213514,51.223406397717675,53.53460384516079,50.275187169221574,47.41086693910724,49.72586291466213,50.536932036100225,45.701731214601416,45.37891508443127,48.39935108192356,47.127387300684184,42.342499361115735,44.27598950608091,45.54319931789534,41.19245939348688,40.03772906251018,44.11060002979232,45.76292926430512,48.85451430043,52.31098073275738,51.98022935061339,53.551338105792574,58.68349936529064,59.61160445511734,63.711950667895046,64.00588086185029,62.32853902969659,63.91759820829718,61.0166360312705,65.8768714556173,65.76086676936045,60.27480192270279,62.49749320362373,67.01240000419402,63.78339452892431,61.310910393653565,64.51589671258915,65.82969280755397,61.758939479090515,60.20992503019124,56.713952940626044,56.89272516612672,59.223271159673956,57.34068245305876,57.503980242536564,58.29451380992859,54.85358886868287,53.37349851340672,53.984058187686195,52.015668828153174,48.446136141256595,48.93874458224293,48.36313660899509,45.21823111253405,44.726484733402906,48.83211563220658,46.79191497915439,42.501382166708645,46.40900351746121,49.88019969360897,51.0353765594323,53.88411815299968,53.63848452214085,58.032387311523834,56.700200594637764,52.46684935522562,56.63439428412299,58.68755319575773,55.88459917066672,55.50584595595822,61.36284328672302,60.62064186509972,56.13613905340569,58.83554078256851,63.47979768623958,61.60863242960633,58.25777503227546,53.67925917017709,57.769294667375036,53.58300872101406,52.979515242779705,48.18711801610052,47.43414136568105,42.61406278400395,43.807572760896804,46.20318916118663,49.868445867731296,50.37514988837341,50.64996017335189,46.32061154548244,48.17795092562827,43.54347540414158,41.96561739974923,42.85653299951642,43.44086796012564,40.30887667585765,38.753782738258835,39.489175166638006,37.62602721124918,34.28373732320193,34.47500027373187,36.68970924342507,35.24938232593249,36.43727407463663,37.70605403031437,38.23665200502908],[32.01141138818761,33.64846004010383,36.17582421083248,33.778659462411476,36.6254947619513,30.48947732526459,30.123754461178613,29.39859256761086,25.152755352689464,26.275911754693446,24.006033246707613,24.71171332864391,28.92482498205102,26.190793117573353,26.83739552793043,29.907730026340616,32.03989713282352,34.249889481193264,37.27348463880954,40.54912010167266,43.49344085816161,47.7672435300127,48.62941857352604,49.6772796320226,47.02503391020082,42.81630186774883,42.248737554489566,38.278837069585464,36.61287424769837,35.12629247191957,32.60022611892671,33.794300850780644,33.792852003299664,37.23546064994523,38.28820847449949,38.45407039918977,39.29621121502868,42.26538104320347,44.29765596883659,50.40700509784656,48.83870853787938,46.50020360852388,50.66431398081476,52.053769252776746,54.12392406283232,54.947683581603826,58.60671268140558,57.001856322040766,54.324308881773014,59.030851623514046,59.756766379488205,59.15715845569947,59.17749840089327,54.3521639578656,57.842402265811245,59.878223655078585,56.02051750396003,53.16865284573074,56.999304910304566,58.51584201082082,52.97039448439866,51.41449125464257,47.91822945348362,49.59992990094731,49.66740383846727,46.20210980741273,41.98444940555126,38.30312423228863,35.486245875784626,31.527125498920142,31.0798567722821,30.661783431317435,32.10864498467808,37.00957807206768,36.26547836933333,41.195177637230515,42.982763109509186,43.910402586680554,45.415390796556075,48.86490706418681,47.79727048398958,49.99844448150514,47.92396822894858,51.090939900297236,48.85970871902986,45.34905280756555,45.54473116494409,43.896053771064025,42.412930723213194,41.712236678007294,38.49853522438749,38.2236268143243,34.42670026850395,32.30102586757763,29.493024563093044,26.493444495248124,24.522288521078675,28.566032888807168,27.96890183815307,28.929635521769022,33.57535560390596,35.94994931990367,38.80513315680661,40.26290324583487,46.00017664353945,43.32020235174027,46.93379008436108,48.225275370865845,45.09484927221718,42.47443263387258,38.99236346006417,38.31708352943499,33.75046429543841,35.49315778637772,32.454233683607896,34.57374223085561,35.09706629781146,37.56956324804061,37.56427380558814,33.88017202369533,32.17117766040584,30.23863574120881,32.440569276145965,31.886904685642993,30.84402126753279,35.90781800268067,36.07808055719864,39.53815737465669,42.57138397884517,45.49091087728588,48.03483517805567,51.575622913063334,52.32959603188179,50.6736788306591,48.58618523780212,44.21899451752004,45.13233021380874,42.46948744947382,40.586203081067474,41.260864939071304,42.6610924668109,45.76768442937656,42.639955408392254,41.253045672078066,42.97344708523943,39.3456152732716,38.03967187447101,35.83092230479662,36.310507591160395,32.421664738789616,33.89027907810255,29.32444432586315,31.7684288895355,27.16047516648124,27.150643142796742,30.63921612905645,30.772079521954446,34.554342368531515,34.81913954060819,38.99295554332237,41.011620982890975,41.1326654699154,43.03297465322072,45.95790767991021,48.89111001503063,48.94914203359534,51.888036731245776,54.55506655619098,52.85437731484701,48.95252397777583,48.721502805798444,45.58464320812953,46.96995705083383,46.554864767786185,45.13106822217041,44.416630590751204,40.583580219052116,44.84989218205373,46.93558536794617,48.70776334517277,50.397349229379245,46.99367934050179,52.63361496483059,55.745109626887505,53.23289734746144,54.25271272874787,51.5948257117623,56.56967116003057,56.91562933306941,58.60955669491685,60.001178636549994,56.707266590168985,57.422633456739696,55.574577272014594,56.39302067194169,57.33116134248991,52.92720004674905,53.813603797867124,51.72242801425391,48.7495559862266,51.10961189837004,47.62492026172952,44.93091749436609,47.585764594754004,48.213530369198104,43.37154329611564,43.571673115796365,46.502988940443245,44.8927961756315,40.4531026367912,42.676456923341064,43.834994156031726,39.366507141666396,38.65579963340175,42.90914344582101,44.569522346364835,47.44898360133691,51.17244352082156,50.46392971091797,51.92793423043496,56.95554240523876,57.78969979198331,61.76108595508091,61.787611830245616,59.99696211962369,61.357732933384106,58.30123279691146,63.19192527854781,63.33365676036176,57.91821986400213,59.915793694410404,64.61281599839869,61.6101423820327,59.02456293561241,62.14403496935422,63.79639712119456,59.85110394670921,58.07465928557858,54.56278608542807,54.292924406785986,56.530266417283904,54.61778441534957,54.4847083491311,55.17883230941617,51.600480485295414,50.41539824295034,51.05752126994905,48.825450736877976,45.366865833334835,46.18921483530143,45.48730197603705,42.31759431160169,42.16887813416211,46.28705546340293,44.18516569605542,40.10975186952273,44.2526790710846,47.653562568996264,48.88465098189435,51.495424446399845,51.088013299368555,55.534310335248556,54.511918768115045,50.34529248003013,54.33404113583632,56.64513171619323,54.021003776908564,53.53330052695183,59.373245423619665,58.97425426425495,54.56256330306175,57.0573722728536,61.807164877575104,60.24867771914176,56.96044372174784,52.49185895157514,56.849520495697426,52.868172990026544,52.155239821602,47.350348709255776,46.17084739837237,41.323879447218516,42.94844897811534,45.13509168040946,48.882885976187445,49.093454922416356,49.011784745050264,44.50086442372316,46.004406642914276,41.39905196233567,39.770734238860726,40.138097822688366,40.655894738675336,37.24955425613125,36.13465858341443,37.0708769046897,34.88631703717804,31.515426691088415,32.3539395424744,34.529006533180684,32.886224386016366,34.159925845027445,35.57831274137123,36.333674878046445],[36.35025183772928,37.96275572836601,40.26780234384871,38.051819940385236,40.51232540953324,34.232340344610805,33.556728241076975,32.34676825912084,28.145299049830843,29.0097765813172,26.28002828628103,26.52994911470539,30.924148356547352,28.446068330862545,28.216691311830818,31.19448697320633,33.81075552135844,35.522154861050886,38.59994697849743,41.75343892460812,44.566047362631124,48.71267333768183,49.73290814572367,51.08789029981712,48.578129176929316,44.44935646927318,43.99317150475417,40.15057587476427,38.10060505881363,36.470126280824985,33.15272711162812,34.52771385318648,33.86640903388668,37.03790074300062,38.6520962589332,39.19830152134017,40.2697691217526,43.5404150176402,45.885510719417816,51.86585612904837,50.59221396595413,47.83612248986059,51.812043039636166,53.52596820855504,55.572226797001896,56.69001984774969,60.20865318681853,58.50885110038138,56.20913524916668,61.00784578137298,61.38530964194004,60.81909205144384,60.4786025206669,55.72504636325095,58.873267711971636,60.7368583826503,56.99965148573232,53.91376828690473,57.46948548225041,59.15391147619861,53.59799430397997,51.59066837889555,47.930108592622275,49.62276700746244,50.10192787869204,46.76227166151583,42.58449897630213,38.916768794135045,36.376491842622556,32.32646959838584,32.12053454197271,31.309234051324346,32.36967604787643,37.234332064381334,36.38619544840936,40.728322283030046,43.00825724351987,43.51394329397354,45.43677787596939,49.173809864337166,48.24915782595275,50.88881067070759,48.89790178103066,52.405310881770035,50.392441609777606,46.61735496334153,46.52670879769725,44.51643158842266,42.94576561836273,41.57984976083308,38.41495493084062,37.598139858487095,33.944173265335984,31.92010326182084,29.760284366177086,26.385300239837854,25.199793330073586,29.01273318634229,28.895854534540778,29.70866383583016,34.39904588409001,37.24477910995675,40.03427863777356,42.00964687098447,47.913360086235706,45.64587061973401,49.332029492412076,50.94817341813038,48.07801538238277,45.166759219935045,42.00505179358541,41.13654117976429,36.672875209383164,38.43126753114436,35.12614317836287,37.400931226221374,37.48997627431683,40.15545212872985,39.53035143954229,35.72900873973066,34.40493323319555,32.752995913761126,35.46813085487012,35.0608919818722,34.17695956755053,39.22857091735623,39.525899063966456,42.75611411396463,45.74664529073922,48.29584714269147,51.23531041873217,54.56975292427555,55.27449404862314,53.27521472735068,51.518345133942915,47.21255438871198,48.57713008577739,45.771466531101396,43.90021491374484,44.220894401691424,45.621403679744475,48.37807850795343,44.98183299035428,43.738534277428556,45.14341730011333,41.340661500426286,40.37426692544905,38.06956232276765,38.66111211595885,34.912530742986306,36.34589899097844,31.624493641403305,33.66984143500909,28.968629953401802,28.494179574985584,32.04631594536819,32.43767320755414,36.43365487808923,36.54582607013828,41.16254327539386,43.3929998151818,43.071646050829806,45.44547557685586,48.00828066434073,51.322520360457176,51.79062388332084,54.777404145839384,57.631807476728845,56.148737601671485,52.22227837377541,51.854131818356436,48.54044692825641,49.52721770801246,48.80033674761958,47.05085154227136,46.13891219872721,42.08961594487577,46.02440998182657,48.4078924749688,50.29861258014151,52.3490113320184,49.23142429763312,54.939669935021556,58.107281857445884,55.67314364280616,56.34333996722204,53.53289896939976,58.43459005394354,59.100416735287524,60.94080434193272,62.56340297793706,59.2630810682842,60.25754891687589,58.54088957817149,59.429713178120856,60.52439389818752,56.271223402770495,57.1363802549436,55.245099252397125,52.056482573826145,54.51435429811326,50.847313682320426,48.307446412296756,51.26013881445746,51.74932960446195,46.930103730570764,47.522842870475685,50.384310464245445,48.49501014556816,44.3660895110865,46.76490283114857,47.80159180407225,43.269987512656115,42.876414127207255,47.17407172932062,48.87593214998405,51.554169869046085,55.4936052904972,54.569696446573026,55.922662037474275,60.873857631507796,61.57473965256881,65.49924376553369,65.30306195547384,63.45413429283574,64.60668926396757,61.41712683637509,66.32125466936904,66.71115021760072,61.37722424161116,63.1482524605187,67.99914316107201,65.19923754463647,62.503813985396135,65.50053814427162,67.45084430971148,63.61947518385355,61.58994693681458,58.15152299671682,57.45822955639126,59.63411308834807,57.737473288143256,57.28002711774097,57.85211281329262,54.12403055198917,53.30317004174838,53.96612046844777,51.42426177419815,48.14864938476154,49.32349961087335,48.434729762087535,45.252032079734235,45.48496324679565,49.527997586786306,47.29749302593839,43.48138213632205,47.81072607025256,51.08455854534188,52.45314682620241,54.86950536555167,54.36976169079108,58.84315351731775,58.06832702249368,54.018889921085695,57.85530447613013,60.36058889598216,57.88254423260091,57.32726200960317,63.133701031867986,62.978866853061,58.6302049920744,60.96471552196135,65.78378541456364,64.42966586162393,61.18052620422745,56.783693597350954,61.2658844095544,57.38486787404752,56.63937889529347,51.83940850754864,50.45330794617892,45.61246057103308,47.43013818790843,49.490657654434635,53.254800600044454,53.28430888820179,53.02072344680644,48.361938878790404,49.57161705369927,44.959686413987875,43.41771861357651,43.328348894078246,43.80525768040368,40.12104143232659,39.46221538711419,40.6017461891236,38.12029269708477,34.767544635103775,36.171227623880434,38.26060079964463,36.375562292367455,37.64318792017968,39.112467432767254,39.950252710092165],[34.64028443517914,35.87730045117918,37.77713210202821,35.33107235524695,37.38862803380928,31.248794999014294,30.205721625812977,29.022491774829664,24.65381885572772,25.124719259056864,22.285222033198544,22.744823239087218,26.881996418005016,24.28158494838349,23.99411767988885,27.03231935005041,29.56006482561094,31.220904110542186,34.27904382914419,37.445964639515985,40.265228158787664,44.42807418713846,45.43784008619723,46.78371882583184,44.255094954645095,40.12849575942468,39.67976863009389,35.858914090639466,33.8381132471516,32.32614486129925,29.004053673906828,30.56570116435789,30.075316199904655,33.200195035852225,34.66611402660088,35.03997550829508,36.21701152882565,39.31613762613774,41.64350603058725,47.65825690185588,46.30842116074831,43.53356817586433,47.5289250436783,49.21358743825342,51.253414409192935,52.37838657120645,55.89487059041881,54.19462738215312,51.90640597299813,56.71486134805531,57.09668038616781,56.56861485919089,56.23152505414512,51.487890846054576,54.70526405980327,56.5302387960488,52.74652314517023,49.732753329703264,53.33779841507683,54.94438623873559,49.377474157757625,47.47297228447499,43.86370643997675,45.53459057492488,45.90733933319093,42.54683859942417,38.35097201686089,34.6744765909196,32.10151480576736,28.04669261289474,27.845983483127046,27.162588614759375,28.21532305241908,33.10186289508279,32.25136109411514,36.79774995390873,38.928882722277606,39.61239822891535,41.42548481565129,45.08824793911036,44.23011809338926,46.80180839577023,44.9440059444772,48.387463185212674,46.27356288298596,42.5195444438069,42.35528528716397,40.51097684858974,38.80622922316335,37.66990034116076,34.40822711788428,33.75032993407776,30.053019350556315,28.072873754349622,25.728106997942405,22.434013563696134,21.069468254557947,25.18050580726448,25.16784312118162,26.479487815132046,30.77560914386304,33.86874021329997,36.337439052907186,38.49182835700711,44.278562112296406,42.104826687440635,45.9524449759609,47.53820975398942,44.80611638996127,41.87011236331472,38.71292136976056,37.519942793494565,33.04261576406161,34.58794441090685,31.091381084567285,33.32549584585841,33.27014887999041,35.95653071743476,35.237611873350026,31.416430649929158,30.14400592815671,28.556779308473892,31.42537611377861,31.121149588950367,30.425439041472455,35.484326254285236,36.126523704565855,39.174720073189775,42.267732727445285,44.699110238336864,47.726798776978846,51.071870541745945,51.58252222614104,49.576684673913185,47.743354668594705,43.41939252178951,44.9591666218523,41.96436151837292,40.0167759897167,40.186082636889104,41.527962287456475,44.17582131981973,40.72676833769003,39.53684672503215,40.904176742830565,37.127626195494656,36.22059049606626,34.02064088160383,34.79020636336064,31.181886693740253,32.91712149306213,28.333955007293483,30.70422705985154,26.442184672964252,25.55251714400377,28.81671404210413,28.860879470504706,32.93916548858789,32.74001842237448,37.44554543896464,39.45276047136346,38.97278148762196,41.31019718113879,43.84834754063059,47.213584233160326,47.71250047798363,50.78003844276638,53.64530896892866,52.29823563747222,48.33736478125227,47.98120456940619,44.58525354066112,45.52525271349832,44.794936584479174,43.05254911134136,42.28124439245334,38.16084947363834,42.23304445840102,44.440538144663634,46.42757494970205,48.348678464214736,45.41022195923548,51.08090822370527,54.19230869040995,51.6967077166493,52.2234819772796,49.33736275449988,54.22517009204061,54.85195153323197,56.76751337309819,58.44453458498356,55.19528684344732,56.304826678599696,54.69307821927496,55.686836023683725,56.92665934587044,52.76346751466934,53.78794319357185,52.08624683526223,48.92141682251973,51.64277564495508,48.047043099963915,45.377960555511564,48.49372692602192,49.214931329830726,44.39872966643253,44.90402288355383,48.00775232690274,46.3583848516085,42.148559250861354,44.65550214911975,45.95182296231842,41.462186921793474,40.992579091780364,45.48711058977271,46.927127306945295,49.90606863253259,53.44355460902594,52.44574265753401,54.01770678240293,58.86667185697176,59.84145649347798,63.465488718277996,63.26325412153003,61.200703516253085,62.2534853966663,58.89488008539385,63.713479611133124,64.20451380788292,58.71300609169416,60.34310519383459,65.19299007400642,62.39350396426513,59.55135241552727,62.39743156995353,64.44728746027864,60.66786794189294,58.351165420319234,55.136499488990204,54.32436842724021,56.64009141040869,54.99743449683741,54.55393430634635,55.401389928512565,51.5088584891555,50.59349722924303,51.63901359591522,49.14949079148408,45.6444100497828,46.97811934945008,46.41911334872722,43.28114677642513,43.41931879301273,47.69673867700843,45.71606462253141,41.86413277768849,46.16870863683842,49.562151102882474,50.68801671468259,52.97766037992651,52.197144961318685,56.671931679609045,56.10083885345339,51.81819843175101,55.46608692983373,58.10743611074009,55.650939117644846,54.78093747505331,60.63943879131003,60.63816110511698,56.13492674173159,58.23752942283361,63.193600590098015,61.958508108521166,58.62070971291555,54.23947705566254,58.795974024618936,54.94750177745924,54.475309620838324,49.5391060362248,48.07884877525746,43.24251670238013,44.99202242728054,46.855084114923535,50.5688061577626,50.40979963457896,50.20913039784642,45.34772872400849,46.43397064432266,41.70265995795487,40.50028992770877,40.43388641317625,41.201696331414226,37.413683265933365,36.61562253208065,38.16782714250056,35.8749879094512,32.099357801745256,33.75364312051956,36.235551218007544,34.697361076664954,36.14306734082895,37.69899514964616,38.61198998361666],[34.20247389108587,35.105917795081616,36.75726312325406,33.8576858516214,35.720468703094575,29.9338410816746,28.58810531536962,27.76017232875257,23.141557406829897,23.015993605345265,20.218405700927807,21.295260837129295,24.805984981324222,21.729220594901516,21.62684901962609,24.845440685867853,26.95365754618838,28.471331607599677,31.179043182461292,34.58584754202173,37.240304926443926,41.51550336033388,42.34297526738007,43.54719901757419,41.13660499174641,36.95137744554739,36.72958218315793,33.00481161155446,31.25209739240685,30.142594815344214,26.788443922916322,28.856742580476894,28.66294572896636,31.563543017955663,32.820539134132524,32.786086902407185,34.259955561503666,36.86678012104298,39.087948546773525,45.21887960559707,43.52993516655764,40.716664419391066,44.78025646697843,46.301535385378,48.17171966976652,49.18945042225148,52.74530325147744,51.22736270102723,48.90360679468309,53.753531906198404,54.29585891993361,53.9277589893199,53.640364051810195,48.945594372901326,52.363681759636876,54.018219363104116,50.08081343941638,47.31462503322082,50.97518718702875,52.30252903580498,46.68740863784464,44.94691366013502,41.477715239540814,42.86902481478358,43.11575161392628,39.881941406379575,35.42002620471506,31.907787887133036,28.987778490221864,25.086252718528417,24.604301627014923,23.840880227807407,25.257209114080805,30.130254682908202,29.651636011537384,34.45185607889451,36.536057615733306,37.581238868581856,39.31730354845397,42.859410848924874,42.255043042510785,44.70479977148239,43.15485370147757,46.42788939360269,44.06399286613783,40.4097596155415,40.05191232410104,38.61930882270576,36.52774552919648,35.82541651721,32.305380561717,31.719634556093173,28.087088508995357,26.385922163332992,23.838270646704178,20.697424147331635,19.056971701638485,23.802354588645212,23.969617939143568,26.03276041062546,29.687901474665576,33.054186931089674,35.034792650607656,37.34528558960561,42.885862888039576,40.72933192117996,44.7616197425859,46.17121348514363,43.51573586657118,40.69214692740227,37.404166478069136,35.83091536278774,31.28923266774218,32.410514223824876,28.642290485654225,30.58995260034598,30.368012477053966,32.83593558772674,31.949328360365215,28.344722301364005,26.944673006296362,25.563168751871977,28.410795111243623,28.416189044493436,28.105467672466084,33.202963731502784,34.39649885913003,37.29733780882142,40.58050031428618,43.025686649362825,45.96516827676518,49.43830789369108,49.664042635671,47.824196750286134,45.68942175921701,41.29639705737234,42.82954053815969,39.55327273650007,37.35980029246927,37.47349042127772,38.464507775295395,41.0379195159009,37.66240335284109,36.66316073882496,38.13526025377493,34.55282474673861,33.65681757682241,31.7958668156188,32.8892748053286,29.491240399894888,31.706435147923195,27.415450712251342,30.297175543785688,26.600943101138565,25.387109143174047,28.23119596714915,27.7261825070188,31.830608538378655,31.181544138637964,35.87526480776748,37.38708741924556,36.73523997839123,38.75431083401793,41.40294774810615,44.72201449306338,44.99854147247516,48.26970943305111,50.99217906666902,49.79498076377789,45.762021571549624,45.577785955554646,42.12708922321642,43.22748613636828,42.64062320547893,41.03098148891026,40.5812676782941,36.39479322645727,40.742517259244835,42.577543776799445,44.71557243245965,46.2992254894582,43.60970612417761,49.17523698819272,52.15414987385377,49.5064384037735,49.855730779080375,46.82391030644399,51.687384546976006,52.037027730098124,54.14164246569746,55.837266275930325,52.731736610553526,53.94313817179172,52.46954255765012,53.62045504829376,55.01186688541396,50.90117046026211,52.18135305336373,50.61811607995274,47.625106559921605,50.604988596111205,47.20069086573951,44.30900997403042,47.42387981753417,48.48139329688834,43.67480366574496,43.82055670740401,47.223653753364744,45.98911459062667,41.52739266706001,43.99832954451247,45.610437707655166,41.22346070212345,40.458808639585314,45.05956604898072,46.23042348291898,49.614592149616676,52.61424243937063,51.7299622686158,53.57576999771118,58.37213134304484,59.665197236985456,63.053228030678056,62.97159731396306,60.75017902422468,61.812544315474916,58.35945097339002,63.07320722179118,63.54283668402485,57.85601729745818,59.44905370048869,64.20649496012044,61.295718544368064,58.35534244677685,61.08171125252369,63.068533776177865,59.28059440448111,56.766721207368775,53.804726151211746,53.09238539267583,55.603251756012575,54.244298244426524,53.960502415980045,55.13518995125463,51.1454114933018,49.99136305346399,51.410021541912144,49.10305977218988,45.3209150269714,46.65160138379595,46.483130908026595,43.40652779725659,43.28348037640486,47.779499556682566,46.07201056807253,42.08712109295859,46.249771073316566,49.78882006770182,50.64259258110282,52.92067195529748,51.941393163100294,56.38830554735493,55.87010401683667,51.32478684363227,54.867148619881426,57.518402107988315,54.996578700599585,53.857062063023044,59.77606518445158,59.76340757596007,55.063337118460844,57.02475321686773,62.07167663657483,60.80322126346182,57.34026802624945,52.91800589402734,57.41570571121425,53.49535569681737,53.36903286166404,48.29492560226894,46.97540988690285,42.156822993376416,43.610513667589345,45.36973108571741,48.98677992278178,48.77675886575395,48.83206055916275,43.84150249679306,44.978223206747174,40.0942872400207,39.29716139711831,39.530012454888066,40.63778140037312,36.88896371050049,35.71466515105136,37.59622764798339,35.66311548667258,31.47367736454682,33.048592658560466,35.95234623897231,34.85727992275597,36.42888242511475,37.99193702662879,38.86280990988597],[30.654944227232832,31.22957415681684,32.53531498954459,29.559356196809514,31.132539599245153,25.4483158735953,23.923841237162755,23.203051412988184,18.507381947072655,18.288898141518192,15.615572181697857,16.997298545288633,20.33794608753599,17.197632728272996,17.588179960959064,20.833287006179916,22.72786739629968,24.686829506248674,27.62566901641506,30.93192333992233,33.84258358871971,38.12937506406708,38.988881971746395,40.07871673742867,37.42547306471948,33.231498953456054,32.7338391381772,28.857052600255212,27.217720562527965,26.08372681349786,23.416009336244326,25.202978934653874,25.56887949403603,28.735249177607848,29.479482023715974,29.217265241351686,30.425130309811003,32.93370912168602,34.98057640522775,41.156229788137495,39.430934854050086,36.926800956312945,41.09646496948736,42.48030527269189,44.50697490651103,45.42005707605427,49.03821399031666,47.42577934156618,44.88278114152186,49.65520474434097,50.301408154999315,49.83038454366202,49.75608784629977,44.984359336246406,48.56974220276077,50.43288189640055,46.48161154269914,43.78318951034957,47.65472429807056,48.98597775015107,43.4215766237668,42.0283646513413,38.66119927744752,40.24887405019915,40.13637256994841,36.68006657549615,32.41862165226735,28.756575843033467,25.88721839737872,21.938107008416946,21.515775440242933,21.408498702729556,22.79197439668366,27.678161988175088,26.951147478610373,32.251133825391655,33.739725428831626,35.05317857845228,36.35366592110208,39.646146174031145,38.823771928695486,40.943377282565436,39.28403714044328,42.34846282146327,39.890340153274934,36.38428920471413,36.28669155977128,35.03861190961604,33.146811097648204,32.9452052647694,29.50623774428079,29.54572510271256,25.755981436960155,23.851981873187725,20.688845184479874,17.993655673084564,15.5893947152315,20.434023556084703,20.242233901104786,22.606450308684952,26.001716933498756,29.141270936118314,31.030891739727778,33.10784303885146,38.51689056543954,36.22233398028089,40.28247746909687,41.57167711668957,38.91038400660948,36.16188355740551,32.79992736238803,31.146760737085142,26.58038730734573,27.66924618650431,23.9762036155828,25.98828500058606,25.97760715488908,28.546415055780347,28.11379215369616,24.35520984589266,22.848280712564176,21.170465881452063,23.951498695863705,23.768317153712214,23.361992087152483,28.453352423564702,29.69012807597017,32.550702519063975,35.86328028372052,38.346406907746946,41.2327864140179,44.74030812078487,44.937764168677624,43.17685541564883,40.959569755061736,36.55626265383953,38.078063930275796,34.82515513070264,32.70328755695481,32.85541477891971,34.05971382445701,36.773926036703685,33.42722937051694,32.24064809078981,33.793127973600896,30.20623868906369,29.147125554524674,27.247735391232656,28.29305175393316,24.875312454154244,27.22638766735106,23.109367410104095,26.343715252459177,23.08864774739761,21.82346214652732,24.387865829960607,23.55894143323763,27.564299565273437,26.88015317709018,31.38076029147531,32.784253290320855,32.33475347900047,34.225049796059395,37.00102038780936,40.17822709923018,40.41362436233178,43.610148953172846,46.35337006152505,45.093723782063506,41.07947890587307,40.85721169844541,37.43524141011233,38.598652415556394,38.100984023522,36.61993498967617,36.26338081155197,32.19164564035117,36.73888914862189,38.39384672434322,40.46328265166398,41.87905460046704,39.06676992980834,44.60817327449798,47.572621707772306,44.908285222773074,45.42674502027492,42.50751004991265,47.42451285699759,47.73684696343783,49.694203721997965,51.30185280132175,48.15070736674572,49.26669156745645,47.7484923389326,48.88153079180675,50.263972278525635,46.154636399027474,47.474710373303694,45.96310661390364,43.010238408009876,46.09782854965433,42.776717587628575,39.79738651811754,42.95801065923917,44.16289734862458,39.38364453801451,39.454081363476234,42.989601633348684,41.949388468826164,37.44649183874923,39.977856845318,41.768075229288016,37.461154346222166,36.65773813061437,41.37107574743447,42.334428338379155,45.900039190690634,48.604247324153555,47.645931209309744,49.63174943153594,54.328877729522226,55.81949823164756,58.97961039122071,58.913562265542424,56.56607642475919,57.595546864119605,54.07766486065326,58.724938505458475,59.20599367347596,53.43249715763217,54.98075953854638,59.70282592066226,56.77405160945814,53.77902317441729,56.450667792457615,58.450059450855186,54.68805237823602,52.07497621152421,49.19993142076145,48.49087897810821,51.073466042424606,49.848684397732285,49.653842970256285,51.023064676451526,46.99659260760348,45.68495569831006,47.330683268426874,45.15902751321197,41.19868661148784,42.53789222936608,42.64615308118816,39.635374654305075,39.36192437407418,44.00523002433387,42.531692673079796,38.51950909591506,42.58953324591786,46.20484924369357,46.846169755305255,49.03924374566011,47.8827329380819,52.30144785514289,51.89110284674271,47.19660695494267,50.612281064657985,53.320606454149214,50.81722139489307,49.48663456194521,55.41706283244669,55.495715231874414,50.72479391735289,52.544442870438225,57.65269606312115,56.47314185539539,52.98113976301443,48.59876774880198,53.15998768580588,49.31568923350412,49.32512741418381,44.19916376159826,42.778642159291195,37.997545951242536,39.46645233496001,41.06218579058247,44.64795072551425,44.298594402731325,44.34290199667787,39.263392312348316,40.34147385245565,35.42112386664071,34.78657969339653,35.09584088896477,36.390973872139504,32.675524089725776,31.311203810798006,33.42734859075434,31.711135374046044,27.25609809075233,28.918961398913815,32.0965844399043,31.337791526610623,33.039619106874824,34.65815039561857,35.593612283494174],[33.40599028122671,33.74258284365828,34.5927402270931,31.70039168909804,32.627147326704474,27.058072058109055,25.031913113727324,23.892424485077928,19.292624924516065,18.455778628198836,15.275672690173684,16.329298053356105,19.481166530860836,16.582533937259896,15.869061246784058,19.054139623207956,21.362952653802182,22.72371700871431,25.70793159187822,28.889312847159946,31.68483983315434,35.863041491102614,36.874184800051225,38.249912228364344,35.710163358964245,31.609927007244252,31.219670602274373,27.50934020364176,25.50914501680328,24.351209733381506,20.852325646774705,23.042282596010367,22.929877745973577,25.77807443860775,26.917320954243433,26.85340973698113,28.39589681414818,31.03082552382075,33.36080100421321,39.42589677092282,37.92138929740282,35.010028444246345,39.014213852504014,40.680125845090394,42.685511947099975,43.87939493658506,47.361877552987345,45.65391509502439,43.47214162506169,48.32257833547217,48.648826709918495,48.23657766396982,47.83655643302112,43.14409396553434,46.47132526074214,48.150837102643756,44.27030900068998,41.4140278376826,45.083487938690524,46.505562575568746,40.917460882279464,39.19735734151398,35.71255721518036,37.306177143378804,37.47615610076789,34.10272045728297,29.861393554125417,26.183653170770068,23.571422403760554,19.496637486151307,19.363403077367508,18.997717949639128,19.934630788777525,24.846806442075763,23.9844894105814,28.961083914777845,30.77188919169479,31.867312089224914,33.45431463599031,36.95359736192942,36.32340087942622,38.78919722620805,37.32823457486195,40.642799919705304,38.308577126680305,34.58177820460085,34.144265983550774,32.7082693934735,30.60089200824931,29.98914199080069,26.48228060791463,26.169420695022268,22.441133323718503,20.67887617739406,17.950620916999068,14.936054152850824,13.172098405992202,18.150857593020447,18.59968407391792,21.323899525415204,24.293817529637444,28.091217635162366,29.594821165613048,32.301701666232496,37.71116611925654,35.894182241243904,40.10731912191972,41.64993795811581,39.35437471850818,36.36218818141347,33.34420459155628,31.285715456694614,26.898525025709613,27.80193754034602,23.756891464530895,25.853503669025514,25.267686421962964,28.024751397079807,26.887309061826745,23.007050677360056,21.993454144948508,20.711008402801884,24.111552799792342,24.16379859603017,24.081403467974216,29.025726653166984,30.616926890765317,33.06693586501796,36.36486300649186,38.38659093344621,41.666783918503086,44.96258030388757,44.967481629383585,42.90618175533633,40.950386813676026,36.63881544002711,38.693634921902785,35.21330555433853,33.08243632045506,32.768660563393475,33.92113965547403,36.18187271057135,32.554129732774435,31.56003177764489,32.752868104115926,29.04061416990824,28.387404995522257,26.509955901729835,27.812476899215127,24.725363438728,27.253274279102936,23.212336847432177,26.270323375480004,23.391774024244242,21.386270197606063,23.66539050038898,22.767520109594724,26.980610775904353,25.867015682032164,30.8168592962115,32.21225168623574,31.198508328425273,33.50321974474681,35.887289052186254,39.446923682179275,40.094154208183205,43.369121724520504,46.27423129495965,45.323945896368826,41.30156892827969,40.96078125185715,37.34638201315696,38.08432102601488,37.29428291491526,35.52258583531262,35.10607843039117,30.792477513144014,35.127433253428016,36.893901338075764,39.14758049501873,40.77854799863071,38.398694026058976,43.93242231428484,46.88533772055217,44.259259504782676,44.33981254191995,41.23043435915786,46.05201348111164,46.63008497609947,48.76955350927687,50.62316364112278,47.51876088817598,48.96930243601421,47.65906831062567,48.92504263546335,50.54379468329789,46.66865049936203,48.07362114120071,46.88647045493472,43.79298550084348,47.119074853674356,43.72700303665306,40.82514561815984,44.31599623355987,45.54648876256692,40.8465408940265,41.19232589439705,44.78019159600541,43.67515005017559,39.437817682439785,42.14664848741297,43.97377963088706,39.69506604773729,39.1170465740985,43.92026526271473,44.75165103198781,48.29696303746379,50.908028033314785,49.73452946013451,51.74882479140569,56.28281081907604,57.82900752260453,60.737818367232514,60.48778945374397,57.96590308431586,58.751196924330245,55.03122421180797,59.600007417676444,60.35305428263155,54.57899240786105,55.82849052812236,60.64804517859244,57.908978864003785,54.74124072765888,57.18487316455224,59.49327518898408,55.89012130594322,52.88154209614085,50.25026951055222,49.099277024079136,51.70744088671635,50.6859884600903,50.22976865556387,51.68297263110642,47.44607833614386,46.38441842301875,48.30081506528346,45.930453824062326,42.002385312633415,43.731625316761416,43.90779825408644,40.951640004844315,40.93075709213826,45.61125473777189,44.21010726591034,40.4279514621425,44.584156736391975,48.137353340684875,48.73067188968217,50.66672374952119,49.26043140948241,53.66585658795987,53.59386317633436,48.88434231797334,52.019105582716705,54.95610192393805,52.606901674518646,51.025846150665764,56.9146989803743,57.297460385867154,52.5163319016037,54.03229718029139,59.251014605932575,58.33018733344695,54.84033440972942,50.568339654193736,55.24258171225658,51.538202839747804,51.6875505141233,46.53592535230759,44.91091301574019,40.201935485662226,41.77355080381582,43.1168514656367,46.64034610546512,46.015756942142104,45.94272542498133,40.66367683990334,41.38255603288028,36.44358266699644,36.13474352985972,36.054251753644834,37.49977747339908,33.53446080845358,32.49300312209343,35.02521193178092,33.215771473849614,28.592284881309226,30.865632862873717,34.14442768817225,33.41110534992318,35.189153785444795,36.87511642684105,37.89829010143474],[30.353548575746334,30.357318896174593,30.831459118803586,27.91957857215878,28.50010016430313,23.078082548350412,20.83723437102398,19.777193117159825,15.134941792640598,14.122019517247452,11.008104489620834,12.438119501326614,15.388901290859085,12.443263831209574,12.314726968864512,15.540428643024525,17.63067400686382,19.57339562843137,22.87681550773974,25.90673528232316,29.01606252725126,33.19139855601134,34.2446576953363,35.4888247513377,32.66691342378929,28.566313177698795,27.829831383864462,23.92263849716358,22.0293649897683,20.802079544232036,18.19296793734873,19.97491396665998,20.562112969280307,23.739761704047982,24.250534232220797,23.932293628979505,25.121093469155436,27.675578634654276,29.807857048439732,35.92720126878326,34.40077319822624,31.857325586659154,35.982113676697004,37.494573634084695,39.68594950238937,40.76130715896889,44.31156435711532,42.491114923724126,40.056762023936855,44.81741463415992,45.256817077102504,44.71831767830712,44.562583007364346,39.775853622526384,43.287886392961354,45.21557420837735,41.32881600192445,38.54057562521415,42.44597077651884,43.88432049154122,38.364389776806725,37.04271682531277,33.68247271787765,35.50613410886279,35.26802750303113,31.640503813581084,27.669421525769323,23.822380555660164,21.318016016556477,17.21421486221665,17.194633891425454,17.677748521802172,18.52243570303353,23.362390346267933,22.18769563257306,27.6965846852723,28.790145130860346,30.172847471019846,31.24305912092132,34.44584229312164,33.54191723186476,35.624293346556954,34.01011336175986,37.09552186630171,34.66222513422599,31.097722983164076,30.986579790426866,29.74310865035845,27.907612088793368,27.874886248085744,24.507491936021506,24.95099819844515,21.084139087669417,19.074666949809572,15.587105944527059,13.234780213336121,10.4117158232461,15.455768291527338,15.422651846104355,18.4993045691576,21.148226465619047,24.64974780131297,26.071052818589134,28.494631742387636,33.77375087400274,31.79239135944278,36.02887691860285,37.44717869955281,35.141248788754446,32.22696873735993,29.140500386787537,27.000194217973796,22.593620781176302,23.47848809583249,19.515131065534113,21.732408251726497,21.396867167110727,24.309163324867797,23.72946027118046,19.64066757339182,18.52785770062751,16.86059430218092,20.221180395259886,20.022289570577513,19.812763016070935,24.724722707284347,26.34066732442441,28.733676544339414,32.05207247580224,34.111718764871156,37.34056139056334,40.667522236119446,40.66202006861913,38.67845523278746,36.646030546208515,32.322889881661624,34.373928532925646,30.937931104146582,28.911162619181415,28.6346185367991,30.065193662339833,32.49022457723972,28.890148226496514,27.65827188774506,28.93590019789659,25.19071041440049,24.342586279022502,22.38229086832047,23.61652335622219,20.495604747037504,23.17772663606442,19.34911667390973,22.791234880164367,20.45901933658836,18.402584966051954,20.320540309296764,19.038751486819773,23.13592272261321,21.98932294771753,26.73077570024939,28.033091167525473,27.264173819497138,29.450063362128294,31.98082334924902,35.385872738112205,36.00277697943536,39.17957375916057,42.117852539768755,41.0844363252206,37.08788410890607,36.69155570111407,33.10998356372966,33.90722507847197,33.20840763336094,31.57358814036387,31.243795867077438,27.060565750455734,31.62291741256484,33.206938971795225,35.3741353662649,36.835031006838335,34.28724259016414,39.81154407489993,42.761946415894855,40.122017994198146,40.41331751463608,37.440245615143304,42.333020645050354,42.882881226282514,44.84179178726072,46.591689787882586,43.423360555556464,44.75662141057528,43.38206016180857,44.616978089195484,46.213738163128546,42.332326406789164,43.76225954000523,42.61999327493846,39.564418643737355,42.984419177950684,39.67873027271135,36.701659116041455,40.23150120954884,41.59540636733079,36.94264054570104,37.22731312667615,40.92043460145349,40.00294264306724,35.76173832085681,38.51631984330249,40.49712011747417,36.32933566131717,35.731472655515816,40.60103159522646,41.23166322430985,44.91539918880773,47.24424256989887,45.99918433400295,48.13155084494052,52.554291338911234,54.27606197222578,56.96821313209129,56.735256462758336,54.105087267957195,54.86257462548121,51.09398716403861,55.59473022885797,56.35029302465011,50.50727911044365,51.718131379491,56.497824905436694,53.74366144744295,50.53292890866338,52.93059955041535,55.24556599937829,51.668631915834396,48.58031924916411,46.02283878575274,44.87819071001147,47.54970314546683,46.65144676806538,46.288247229372864,47.924080556425935,43.66795485533365,42.44764521754341,44.57460423991809,42.34982560774451,38.258635831918994,39.98542868845119,40.43169365482455,37.556710715317664,37.38778331745275,42.18336419071443,41.016427979614015,37.236384928241215,41.27178248628983,44.87505439438791,45.263618261840726,47.111077038670125,45.54387103382886,49.907577306008996,49.93390908937552,45.10265169596733,48.1075640679945,51.08861733399827,48.765688177264835,47.011914264567274,52.89583261336284,53.36291872263363,48.53459610419841,49.914707789169206,55.178906986407675,54.34371099856226,50.841004248799074,46.62425946963562,51.34732631032872,47.73688955295132,48.00017080309286,42.83253582001249,41.10536662361937,36.464601440056995,38.059925028426505,39.229207874256524,42.70798418252367,41.944412841107116,41.844679579672075,36.496859219604495,37.14427514492445,32.1860535100963,32.04105954529703,32.021587138057015,33.65070656020943,29.73802500252577,28.51648507573258,31.28138834484369,29.704565124983652,24.84877380773217,27.224231031762148,30.741127347543824,30.349465313010995,32.23467191288255,33.95779919472468,35.03928547040346],[31.005561292906833,31.16232005697475,32.210638510250625,28.56344694535426,29.978015598211613,25.030638433469168,23.200977972405273,23.227072806411808,18.357242985016352,17.18695855054148,14.91618115907883,17.409241677082594,19.43586341872201,15.445615249779385,16.468138925070843,19.898713306390313,20.834461078145665,22.600986116713784,24.804145473003363,28.541677912514345,31.136210576195772,35.60432464610302,36.10046628770709,36.87633199836558,34.433305538664065,30.14110559002156,30.04806617036875,26.359744874740862,25.326328817500347,24.95135842867778,22.465542039896082,24.97991675678877,25.863731209741026,28.604409959744483,28.953593435384803,27.991533595504297,29.615335069136492,31.219950880305483,32.999729211363885,39.325961097005845,36.995762624856155,34.5226482925871,38.803270856903346,39.84472695490781,41.56725606815771,42.235167347062195,45.935995267299596,44.663832598828556,42.00388739457902,46.81300638299159,47.78988690652364,47.57767962534295,47.64094015317602,42.9682379493806,46.894977626186204,48.49461711029886,44.30828912990519,42.063377397650186,46.016981130710995,46.87232380053012,41.27073070799581,40.20150087750061,37.119427087908605,38.213339510382276,37.85849238180489,34.65115897871779,29.97096494191635,26.67014684546749,23.154358860008127,19.623530537575906,18.578899848119633,18.39518950228952,20.550830800147622,25.277967864141175,25.26809720682768,30.912796919864274,32.26577752245271,34.16356927822533,35.29540041271023,38.32346676490806,37.89516301226744,39.74400629570643,38.56395589677221,41.27820745853735,38.425009725862104,35.170735362949614,34.81042375119203,34.28135408924045,31.82426171329429,32.378289470730536,28.615015659920754,28.796296619571134,25.233974621627066,23.844918070988065,20.456495123157474,18.23525631916772,15.446270172232897,20.990249207462107,21.001461271135398,24.27128107175604,26.65106570807795,29.975896594966674,31.147731473202843,33.29755558734652,38.22187698305447,35.89869158720503,40.132360785581795,41.07849530743006,38.4899713734471,36.02385318619621,32.45230921687462,30.324798432239913,25.733021417227846,26.089348828917547,22.07431055900404,23.462992365851093,23.27451911371727,25.335532066074453,24.754603105423403,21.500235777012417,19.61991232878338,18.293911025216048,20.812894985742368,21.20051692085151,21.47565860209487,26.5504984167774,28.630773316428634,31.28895200186509,34.857050603282794,37.43382190506835,40.0410932950059,43.76053253169919,43.55216755390107,42.14383947583145,39.40696708293491,34.9205616033213,36.27265085836549,32.63502776961651,30.096289506354555,30.2698139962145,30.823888238700263,33.501198065723045,30.378599614453528,29.511357805415468,31.325439062623435,28.16520863019456,27.05129035307635,25.802078235077225,27.330753393616597,24.30738997637435,27.320502086507776,23.82142942469967,27.687630844086748,25.265697549261855,23.783505497230998,25.685376471523433,24.09126116384285,27.932514533613812,26.643961588071903,30.905418603218912,31.460855934349787,30.84719363494456,32.0626628075851,35.08490677039069,38.06875926340217,37.820598000232366,41.32683308186833,43.769608556728116,42.69253370979217,38.58550872266217,38.69170866368003,35.257076536490096,36.784582026240145,36.59815633778896,35.41716694143825,35.596581689076864,31.54382339919402,36.46832813097255,37.49610249908227,39.7408201675036,40.56397637188806,38.09862499181253,43.405716424818465,46.13390143922292,43.24037741430946,43.555856683439906,40.456174649938745,45.314461962679836,45.1087157139594,47.33623231511582,48.91277254489078,46.006219572954905,47.20591728234633,45.87364013220249,47.220530546089876,48.77373340431583,44.72506931482472,46.411399755115575,45.043981923110124,42.4308146770616,45.79888501189654,42.82569904773845,39.54775542163661,42.562027256620816,44.23354189673864,39.52878759343821,38.981437588517224,42.88375551224181,42.47051834152669,37.61848405300053,39.9861309599977,42.1769031861347,38.0914541602248,36.81258966818772,41.54372665519864,42.15429003275716,46.24009301210188,48.17825199103105,47.4715632030873,49.80831238283921,54.42974331660757,56.32300587286679,59.208214360369354,59.36430120961262,56.87450015585386,57.97490447239226,54.41702523439058,58.89356570018127,59.26788322724381,53.274296524218286,54.83460308637977,59.35652285111692,56.23977092293227,53.17575006575018,55.70723554595048,57.513574027613394,53.72406972358214,50.945107286752666,48.41677601514188,47.982769953639696,50.81719726899653,49.96169831688843,50.058699080001844,51.83690442518331,47.78247545246747,46.10122593563876,48.16694255036269,46.32021198960051,42.04859742033062,43.25937409107955,43.87015276565713,40.98248138470403,40.299005504799325,45.13411291701378,44.01630048782536,39.84616078846247,43.62266066021575,47.38566682463997,47.676817087400195,49.900902666761446,48.565513128024435,52.893435760768604,52.460959399782666,47.471726209323634,50.77805302517763,53.4015620582102,50.78726547415217,49.1629075078544,55.1291994960927,55.096235025379364,50.09138163089661,51.777311649451704,56.93927601286951,55.63777422880646,51.99095335811326,47.55530555082379,51.940387740698796,47.97341499742473,48.459851540912354,43.20055320999272,42.08914482191687,37.39438506593316,38.33811889574423,39.83422377986055,43.23795394080411,42.90491039008775,43.38686930999406,38.240680250196135,39.48559375752819,34.41127411968523,34.34238617971685,35.20715560529995,36.92715134259412,33.42889969249532,31.467675328652216,33.89112775697724,32.75925819462461,27.921973728135196,29.223223134578824,32.86985387838171,32.723403882205936,34.51744936179603,36.07563413232948,36.88510784486974],[29.63044278069875,29.414403595508404,30.191612823773497,26.146177044083355,27.39960794670527,23.04600683554517,21.07081371574005,21.711421024464638,16.881420945817595,15.198764501104085,13.55315497816593,16.82214576921983,17.859046257603865,13.40012046184668,15.367705890544384,18.749144972968033,18.828199845925997,20.82809283709943,22.65734603549273,26.54292528191727,29.090169241813395,33.6298351733123,33.90734603665451,34.36939728498656,31.90029629014199,27.571793610764484,27.529603067198927,23.87979058414266,23.388875437233438,23.465053840534573,21.725147658021044,24.314652641396943,25.82045687418904,28.463517001372985,28.260400780659573,26.7813812753649,28.38389280219004,29.37159156636135,30.812968601509414,37.20263709940697,34.486699462012126,32.321896206470036,36.7138723446715,37.41890535050237,39.05375563563379,39.45976609604229,43.25147912184521,42.14175554877329,39.22997328596272,43.976396333874035,45.25495051051841,45.11523218719581,45.435537548964454,40.79088294932153,45.014417294775996,46.612622755624585,42.31010954160233,40.3950061910796,44.51112885102806,45.095510194467714,39.55390977766509,38.921063297362736,36.10315192814955,37.03215742554462,36.30124650649353,33.12857995672925,28.407395293992582,25.295692975204965,21.479497521864506,18.32998855639401,16.924624232333873,17.196392387992415,19.764187476918462,24.230292557082322,24.492245873332955,30.502569380675105,31.37809264805147,33.72239476266667,34.46672836895996,37.14146187471638,36.77099024513014,38.210340180946474,37.201293225272565,39.536451364808016,36.42034403066734,33.471264775454145,33.18442710774054,33.18868208710774,30.622911272305036,31.907342653762534,28.11731063801678,28.758514697598045,25.31806602604639,24.100111389444045,20.345297930448773,18.773791802024693,15.47485836891079,21.066410303153283,20.886378695825083,24.569431641372386,26.29535158490945,29.39336897373054,30.182028930802506,32.087339350595364,36.60421486511207,34.129148145151156,38.39228027336991,39.0265029896503,36.43176424273729,34.24285825743562,30.49734075823017,28.16184917322112,23.593902895960564,23.498813274015458,19.481149007520195,20.44035548827746,20.412051306295197,22.125444964136953,21.925806677934297,18.994293998317108,16.702909176613353,15.34872962335629,17.417986833763102,18.026211911681642,18.641709050519168,23.643161968022277,26.17892833879496,28.73375492905092,32.430132427076494,35.14590106661885,37.46135251497035,41.332951729266135,40.9209631301774,39.82421053932597,36.715209685713575,32.1932063372225,33.315028537049315,29.532714169432737,26.796477224170932,27.109422731868644,27.39211635614965,30.223992637123683,27.34256676473782,26.5222431805183,28.608687588055542,25.773883104941387,24.45505076770017,23.60736293238101,25.316889038863845,22.52889184527214,25.89576150490976,22.939768687149662,27.23911800208725,25.479367123336516,24.042927033384622,25.444543641545255,23.33801443371121,26.879044421939103,25.347501438142004,29.181399552110616,29.17452535046602,28.706764889816437,29.34065314042984,32.63523628117474,35.31896971625798,34.67713494776345,38.28718802766666,40.52375520570142,39.45692275308783,35.32498611103854,35.62877236666391,32.265605743195366,34.12314626021201,34.22980798398922,33.36434509777889,33.90480068324759,30.03715137228936,35.23532884042609,35.79284430400971,38.03330696833024,38.38968344135335,35.98850010841918,41.10541594157179,43.678864524929196,40.65905449821152,41.04164862005525,37.96444583757374,42.807413445644606,42.23848305326345,44.486940605351386,45.94076572336368,43.14839708186244,44.26831082792225,42.98007447371734,44.4040776047371,45.99344221112302,41.95435520019929,43.84105846848704,42.52804734933823,40.17363414156174,43.68132889338989,40.98207129819823,37.51181340452138,40.37638516857397,42.36252358311899,37.74779296263402,36.769346827855664,40.89789841348816,40.942798006797084,35.88957278882726,38.13635480004479,40.60635893755713,36.728335599183985,35.14689952627018,39.87042460669332,40.197330760051216,44.62238563922349,45.99613009203309,45.43226597929551,48.006591489106,52.53464314966148,54.716953704148494,57.371412304105924,57.68461093077391,55.10345115410922,56.26209317708763,52.709188132533264,57.05050896790324,57.32308527895446,51.20197967626151,52.79198266156618,57.14788224210173,53.90123839397349,50.819518087444756,53.276894649654295,54.91889242244747,51.11529021254899,48.28163436222514,45.957722756301344,45.7630470696853,48.74790139166658,48.12775315709732,48.47258767320853,50.53312495715419,46.51809175676568,44.53160390767829,46.865983760021706,45.308785045521354,40.826138155254355,41.888771056869615,42.88341412267358,40.11861293284411,39.10869173349138,44.05396916974533,43.234827568621725,38.983280907884485,42.49722426115408,46.34535016120004,46.3547277860936,48.57876998903713,47.11724743412442,51.35180727957438,50.903892270664734,45.72492655338123,48.933522943356294,51.4816617861353,48.8066643566444,46.98203640835745,52.94555627559612,52.84411908279455,47.70586587601816,49.29116347978479,54.468178282284356,53.10538249703008,49.3759062984674,44.936021515031754,49.21282012623574,45.213279621897,46.00734902443936,40.687215022511126,39.7424504510218,35.14984993760762,35.770411734923485,37.15359505175588,40.423050440510956,40.07755708405281,40.822132856963606,35.66908260576078,37.03623838341264,31.908264829815852,32.19830815986314,33.48360186982773,35.48458482573681,32.2271547337922,29.806821901169325,32.40792701053445,31.74785610296785,26.70274541674368,27.699529820142484,31.656935448633757,32.01174627099164,33.8748966182172,35.39354588183127,36.14452066433241],[32.874872964916875,32.32309251418252,32.89904535694582,28.24639075089868,29.334386788299984,26.094288734188098,23.954130466365726,25.31004125798753,20.71939597111027,18.200550461328902,17.1358532842073,20.939376871935334,20.58605579619856,15.7161914995365,17.85660949217355,21.06855113049861,20.01566989472587,21.295739681675418,21.717020518473355,26.10915676726029,27.91912652377649,32.56974987886311,32.26861721664236,32.28615791802683,30.352512156108638,26.025966984439183,26.787615111157493,23.717941536266252,24.08802557552833,25.19676940015571,23.432098644047418,26.880793194608813,28.61554245237448,30.53078458465896,30.112851914532197,27.930833401214404,30.13684051224284,29.936567522690503,31.040622708643596,37.40715560500541,33.923390893481454,31.70144231174871,36.066575836187376,36.32400386860109,37.37719953501622,37.45451902415595,41.27216704284543,40.74667884821147,37.838016203014575,42.59511105688118,44.27677753408898,44.56743564882165,44.95939890354736,40.58919004406596,45.111274771793866,46.207896872939926,41.65998607914633,40.38939068449756,44.42478742499004,44.32872633822417,38.82310021668685,38.490701111536,36.09182658130456,36.208703818936414,35.32331511322126,32.717444453911284,27.45532008081086,25.113916781604065,20.522471856569968,18.34810680913728,16.051512712986177,15.817240086700233,19.410658370228063,23.289208343268566,24.709599577294675,30.659872890366294,31.603418413236078,34.51640786741963,35.2260691743945,37.59434559554514,37.86535152443505,39.082881446080236,38.786678659194195,40.72061934991024,37.211598577455895,34.60871130538674,33.83618400779367,34.690703446643006,31.374445077595183,33.341050742693035,29.248400064506512,29.749585013821626,26.82501465544239,26.369560176366623,22.885760074426962,21.718139485606436,18.69851421688723,24.509047590906757,24.733860624318094,29.003380355967302,29.767274574383837,33.096978523532336,33.08785495462701,35.16048219241973,39.03359706790779,36.689361947216256,41.04361779289175,41.31155390413098,38.900061584400454,37.06757739726172,33.2538128968852,30.449435679646783,26.12258286904577,25.091908553029615,20.889553876018518,20.794063009893947,20.33554497474817,21.00965776516209,20.27501150011483,18.54062747878264,15.89705368329435,15.54515837389562,16.952215567559673,18.596980962780513,20.251052038817413,24.8064140215285,28.327112810631146,30.48412875821907,34.346498794112215,37.04401757298273,38.97697366713465,42.99757896739096,42.06072847703926,41.402003175988085,37.740407360199285,33.26567814582676,34.14754140406291,29.93733061377946,26.660294430840267,26.94513125587111,26.042190310720702,28.607427684256105,26.18073998147431,26.02594837017651,28.36063429962207,26.29807485346477,25.08393346949837,25.22165753232425,27.492536819773587,25.385588122914225,29.264359670904376,27.01789091884564,31.60256376493456,30.48430116069462,28.86744173898868,29.72834194454067,27.0935424151195,30.36510158508395,28.217864493400384,31.71396528130577,30.686200074112165,29.885822826904604,29.629780350368108,33.062409710798676,35.47328510502048,34.17972709551495,38.19241616474665,39.932660894814425,39.20814278426823,35.0387832231322,35.82860051900339,32.533295806386235,34.78952212280967,35.26046166807055,34.74598238965553,35.90880424719437,32.13424867299211,37.513414789622914,37.36160556412274,39.80612283104318,39.474328687535824,37.68095449214131,42.367575799231766,44.57459822710373,41.320886652594275,41.30708803169089,37.985130567116954,42.599963348501326,41.32057738010787,44.00468514747293,45.443615964843644,43.08045191799045,44.3614055094454,43.39461020632075,45.10053607002783,46.909265234485375,43.05030272124701,45.36874394587747,44.2669301791512,42.3729532386798,46.11962575673082,43.85729734534307,40.152366202602764,42.76534704307525,45.21403953619041,40.781198116581585,39.13025970361572,43.55137715341158,44.25004669036369,38.9368615714279,40.91543972213801,43.728854320903984,40.155127571287466,38.092563006482344,42.67876562858858,42.65636410813406,47.5440778151095,48.07866850583459,47.861325165072415,50.76249261901363,55.16801067423535,57.72751516053644,60.10597156950794,60.67002831993009,57.9889791724564,59.22124101442481,55.67883747749862,59.785823532036744,59.93454492372383,53.65798345712255,55.24337764308846,59.314097468302336,55.89034338972806,52.779371037543626,55.03317940586296,56.41326554671503,52.625620559162996,49.643190622725385,47.78729352097989,47.9185890392544,51.13663581417723,50.93209962701241,51.56680693407857,54.00187878443068,50.01095631764247,47.708952396705165,50.41310841415615,49.17639758287178,44.49351326056687,45.41072551503184,46.838604487251565,44.22518053980071,42.86239787433281,47.87933194032705,47.369547680540364,43.03333692563669,46.21171974804029,50.13542110318045,49.832893390328344,52.0847144492696,50.49760952922358,54.579122781480294,54.08330732272634,48.69348062882341,51.75977460477494,54.155590746187606,51.38392880419795,49.296439927719405,55.205956165821135,54.94047015484865,49.61563295281521,51.04936478289659,56.19631860670137,54.668377839777314,50.8073322686451,46.364928724241366,50.307755930353885,46.18698747662731,47.54432805022205,42.18163299087942,41.69598040938532,37.32381965184131,37.246135550747276,38.51971294054514,41.47118461391456,41.206749968903665,42.51278022891051,37.44203649243954,38.99135334148912,33.84906892229256,34.78008255091153,36.626113305618695,38.98320706900053,36.0214498085498,33.12297477606607,35.903040291237964,35.79358224173559,30.615899781765485,31.18198636943986,35.40158365825495,36.24861949757647,38.12050649229398,39.52042882765679,40.09575547933779],[29.535915303023557,29.663240950846838,31.192753868122477,26.7968058068138,29.10147797983387,25.071262343216468,23.860672772607344,25.21249254011432,20.52192319365333,19.460089529559333,18.472264869908173,21.812816057962827,22.881575727670928,18.360368726789943,20.931696829710717,24.249663018869633,23.881628495785808,25.985791918788617,27.25756200795264,31.36848279049978,33.63855974698322,38.250919190582884,38.171184067398,38.23325789480414,35.989560115859305,31.655985358549486,31.889445740121324,28.396696135754848,28.440418927926807,28.774408225993668,27.36395288543286,29.921349254570828,31.543999436925752,34.188455053334394,33.90206838110796,32.23526056733187,33.80087410942984,34.428315656160514,35.561619616901915,41.96221572633248,38.82240220703997,36.94841811658753,41.39428888155056,41.722359422887806,43.08558533243994,43.10518150354914,46.98323614137351,46.24896373012635,43.071578086341816,47.71291900435826,49.43814872773186,49.43005861862391,50.02438554444985,45.45897124128212,49.93424929383773,51.45214543411073,47.03149891701492,45.45258155201388,49.61896907264408,49.89327571890525,44.39541703631372,43.98735684977385,41.34935389188746,41.93139969318378,41.08840003832117,38.14540645435058,33.18804332645523,30.411320449015253,26.212395277314002,23.483514263421654,21.65087269974634,21.57699825623602,24.71546122517051,28.977813825691072,29.77101285683807,35.740877546528736,36.70063167245661,39.2262041872759,39.95304959732012,42.48978047018716,42.22440441463966,43.436490596391,42.48173624810911,44.54440333915776,41.257033666332426,38.582295530564714,38.37145402029899,38.67113666867518,36.02518630876007,37.55167455532773,33.693465028094884,34.23373995178002,30.900811483847775,29.802749118706355,26.08636453101779,24.458921577634,21.19723155557454,26.70883963361195,26.292354516378282,29.6310126835982,31.693940733410138,34.356967597279976,35.37701438216205,36.800063493889155,41.171671052629826,38.289680671472944,42.35558898325614,42.619174305503385,39.661450469939616,37.877715633161976,33.7674535915867,31.852105734477,27.242202311924558,27.10573303292654,23.561231688243293,24.035282235486534,24.483065396675244,25.525721608406915,25.774927834437666,23.516769589487012,20.765250186713047,19.45918253565255,20.413775808952984,21.100257536665087,21.63244206780587,26.525879830504895,28.853207345327572,31.78780923082273,35.490672315169306,38.73025100264138,40.413403838520814,44.55748003525943,44.21974016183535,43.61770427302735,40.070247101592265,35.51464334033589,35.82992526860722,32.251720299944566,29.352898059449362,30.26839446552828,30.084680776664136,33.280118118376215,30.966511755116315,30.245093503887787,32.743641997640296,30.336363777608558,28.710659771095276,28.145468506776297,29.704828602990528,26.797879382286634,29.97591795896707,27.088600639981976,31.426954188804096,29.269237415848455,28.518235563037297,30.20175931098949,28.22773100351324,31.52278829993348,30.31294427967802,33.64557751045966,33.413839017489465,33.3857911398309,33.34743583827912,37.01480135547472,39.19947096244904,37.85202533460869,41.489156435000496,43.29283149336325,41.983806408202724,37.89522081557494,38.55363750302534,35.50498698755002,37.968934150835175,38.489560333503725,37.99977869097306,38.72652071172597,35.10726040115343,40.43013891749798,40.77326398037937,42.89519938812256,42.89427507146058,40.27313239481427,45.22725794872993,47.67873635346214,44.5709768226902,45.25076763441342,42.28949600815069,47.08927736968365,45.994837065769865,48.22640927389726,49.40296230334576,46.75548867947976,47.55106180651658,46.148739826790354,47.50038981595999,48.85460642530555,44.608766065289174,46.51249198834017,44.832904179623675,42.842614757888015,46.05131937964161,43.59312657110041,39.999138331089625,42.27455889282026,44.333201867613695,39.7043429220236,38.099038558911516,42.19264378974529,42.51930188774408,37.03360955593053,38.859626003744715,41.341552862757815,37.550045709139496,35.43392586171695,39.88372437520966,40.33351595631423,44.91206954248294,46.16059811629147,46.10951296980882,48.71719454155104,53.45293579409345,55.62660876136861,58.60416497358912,59.26618816703551,56.943677225708264,58.46623629803535,55.22306312379584,59.588093063072954,59.45105600973628,53.332896076554924,55.32783966883435,59.44197209348576,55.8931256483329,53.07130300869374,55.765738228040206,56.874650016128584,52.86443612397774,50.573950632486174,48.079615753351156,48.59646001349262,51.584571084350735,50.801417820162605,51.54188510415519,53.537618622392856,49.82263640640851,47.49704879375816,49.51302041581887,48.26875127850416,43.779276914002075,44.28563703457115,45.23153827562299,42.44513482354692,41.0419245787645,45.87006701458455,44.98521862554507,40.43459566523192,43.70274874284924,47.613895698452204,47.64887705994557,50.25953148415212,49.16432649170215,53.3489680936669,52.38089465698382,47.22404669329208,50.79804341105204,52.9347971609034,50.006282692988044,48.515594547023426,54.48313271250166,53.84494870138897,48.690837387845406,50.70212076189913,55.66233161707107,53.82099608614583,50.05518192895375,45.44692524874394,49.35930381689454,45.05986800191974,45.840493493366104,40.57278731067602,40.21118823739801,35.61414423769059,35.726715085327996,37.52985594378976,40.74925765688925,40.928708595805546,42.09353777299554,37.342865992676806,39.302748822289566,34.26705283493814,34.28048271199689,36.252142252394165,38.088800984108815,35.26905322540248,32.3790334488384,34.363081838826275,33.961112761566994,29.262831068142642,29.20198553767933,32.96945491573267,33.36160334881293,35.056195100455554,36.384588261454226,36.87574956975744],[29.011895254492885,28.683825233910085,30.04619337415636,25.019688519912062,27.44893795111226,24.75171242281457,23.731435287019437,26.127052934589155,21.89946066265892,20.50965106397171,20.57788080691221,24.48677007074948,24.357013511372852,19.694899951956984,23.218394585079064,26.233556677947917,24.709250096488287,26.947067722064663,27.394568781274657,31.593875786054,33.55960517078008,38.13931192995622,37.59537418441458,37.03565001339995,34.95488840158284,30.74594121775509,31.20103555436504,28.03944442147713,29.034552958889186,30.042711626711526,29.63584276371317,32.212403156779644,34.50110018988852,36.93683953377354,36.00555556481483,33.69824959993084,35.20558258622825,34.86166372816702,35.381743847892025,41.67555007718901,37.88813124833541,36.605771521681625,41.08669507827588,40.77523098523944,41.837988647144286,41.30536997984238,45.2626060243735,44.959364698844766,41.39035036259509,45.79131326511564,48.12299037752931,48.293694174872435,49.343128241411904,44.95477256916483,49.84995811863087,51.280059777271234,46.728754855213396,45.77839238152621,50.08900480988563,49.853713203596435,44.56274048461199,44.822035492516555,42.65480757204621,42.85761197899752,41.507791873881445,38.80109120294649,33.8444865573247,31.568873675275707,27.05085208913212,25.133148920776776,22.845842762384226,23.149008795879208,26.76438769216155,30.42430906853714,31.72278590073846,37.91075194497646,38.31269763943496,41.39175994559476,41.636888312365926,43.62432863484673,43.50732894239465,44.09045099539939,43.434048565183645,44.84716620515283,41.209477725895006,39.12278989787492,39.00960767467842,40.10818533071647,37.33468928055449,39.794313736140886,35.965586260943994,36.96955534058747,33.90464570318385,33.080843460830586,29.130560720607246,28.186876436871117,24.609982197933377,29.943574457291582,29.316045359946138,32.92769149881238,34.26350493629602,36.48534992343435,37.04742500410929,37.98865017457353,41.636480389100655,38.49468503347052,42.42721020882251,42.09739456444162,39.07820682117975,37.90263409247656,33.54895043638439,31.560294229955794,27.211641076212132,26.38887694047293,23.287898781475963,22.833489258162153,23.676524176249167,23.74829441984247,24.72910901621075,23.451133714370158,20.184344605416015,19.06916652069397,18.6146250939189,19.68019800801366,20.693395186797993,25.02189489000672,27.860754634378917,30.648815151072522,34.40877334973073,37.95577922667151,38.89086903315898,43.27826258996086,42.65049465866738,42.73347756537574,38.5317401058621,34.05373108929894,33.63892938529241,30.034803942677105,26.8377967867802,28.227101168308053,27.31880599440408,30.788347687120567,29.238927717060786,28.707923379319578,31.67648517383449,30.0509322499693,28.11424613846867,28.28755664381315,29.974430331808517,27.518572127828335,30.943898659988317,28.912970061335564,33.61488735242834,32.215554157044814,31.694080460883207,32.818520844596094,30.349270825806013,33.07552220468974,31.68893284293072,34.17007198560061,33.060075659360024,33.37831387035934,32.22498757016785,36.296653376437106,37.770052767172345,35.53264322752765,39.263279770086015,40.48601315783254,39.13256576867903,35.126396382361634,36.26525729492696,33.56762434874806,36.719017129614706,37.824109369619414,37.94087050079093,39.22292816765844,36.03969424370985,41.605963039873366,41.229828769881244,43.265957359980995,42.47244802553883,39.9589336635908,44.44194704537253,46.555507700501636,43.28573701301149,44.139367681356305,41.31224037487622,45.94935731211624,44.1016109772462,46.3374463172719,47.19494845174882,44.85421085220103,45.390680151859726,44.05280616012124,45.47978216898019,46.777982922166665,42.55157696671592,44.75054695414496,43.045843909837515,41.65725734562508,44.896747718924544,43.00369751683449,39.15764164156704,40.90572768947549,43.43969727421941,39.053143991129225,36.552712196469436,40.89243036076715,42.036700673974366,36.20869034520004,37.615301147322974,40.48388325288581,37.14577626620547,34.39333393961258,38.59128203387064,38.62138018856151,43.72079933817404,43.97507812052474,44.38356763538178,47.34177771885141,51.94372594596567,54.540097297203395,57.24983835308172,58.28217792034378,55.94552627933703,57.67534007226475,54.59585880800746,58.70813499586098,58.26370591854681,52.029859867603975,54.19648362854585,57.90698161147891,54.080083143921094,51.37235289460813,54.003051889285295,54.621789684191526,50.556054872817406,48.43406917054959,46.245466393854656,47.41114972417561,50.58150316237001,50.11010410803223,51.35064668549139,53.70697396067993,50.2079816907968,47.364810132490504,49.62528337418481,48.92566442103434,44.220283298975176,44.30605112906623,45.7717671084727,43.2098521417625,41.2304516922031,46.0740739110696,45.615452395310314,40.93899018410215,43.65757095772938,47.64446840194728,47.26648363207532,49.97878215733485,48.849244881966406,52.808459993705966,51.63452340657854,46.279485180164535,49.78437171507498,51.60954472931497,48.527468169966234,46.87963937909424,52.75317452413317,51.792556911258515,46.48827038680092,48.485359386837985,53.3113151538889,51.186585284297905,47.314792522563515,42.69254319644523,46.191230085131686,41.750214232074306,43.0504820872669,37.793700360528554,38.00251593406505,33.69450678446722,32.99756687037589,34.76457840009442,37.65156913169417,38.059053281871996,39.84160888694486,35.3792889825065,37.7406649624271,32.81764757509187,33.28488467356114,36.1002554981145,38.23147982242442,35.996033755101976,32.38590735417979,34.321776780385065,34.70990786867221,30.03115475818664,29.131973767490077,33.13263115696181,34.246601611798226,35.92714264235819,37.07364226651502,37.34758511581507],[26.516117242223842,26.905279408688916,29.140738895968735,24.592256319357933,27.99029925459008,24.444621009336284,24.199471248086912,26.316909217085687,22.09996225469339,21.89578359340176,21.805758025677925,25.15187436019978,26.220529858404365,21.950928566865496,25.425007814764804,28.52195848781479,27.735290902017677,30.43314246551224,31.649674006483018,35.6352157559536,37.998695453677975,42.56110996887108,42.306828246403164,41.96390958359858,39.614802115758195,35.372384723875456,35.398948441294166,31.880023107949036,32.389083149114484,32.70733138435253,32.30597749093331,34.266965791655004,36.32687834942292,39.286063440575575,38.57951353238839,36.7764833003936,37.852329712032294,38.316176688443605,39.013670563962215,45.32751360287491,41.9803805516998,40.78494390784209,45.304490734676776,45.22104159367291,46.59528752734639,46.18659183391535,50.1549905635402,49.56837591358395,45.92594465611754,50.29218741381639,52.47397637437732,52.371399560963546,53.44787210512372,48.88097460530708,53.621190724287146,55.386941839230715,50.969162016152616,49.634386425548065,54.003845850148394,54.170565271124794,48.8335048233551,48.875691351978006,46.424361223432335,47.057711622676024,45.85645790973935,42.842844126369,38.094156840986685,35.3885509081328,31.200749530851482,28.71515700946977,26.820686312525964,27.131386972077692,30.365664158523344,34.439008085305446,35.19892416574853,41.36908239399982,41.89553238989076,44.58433877283229,44.93973397428928,47.16849146581515,46.63170731877974,47.35401197539646,46.154741024693614,47.80523608446958,44.43460706256933,42.16395252657331,42.42489811482554,42.94042253214082,40.674197315350064,42.61798246925553,38.95443920536495,39.89706417755914,36.50679824380371,35.20316084246918,31.17448208021352,29.826390858550056,26.209465674991037,31.282685905117475,30.266539795008892,33.100075269566034,35.466366741537406,37.25363433527755,38.64849504680954,39.19955784438552,43.33198674037821,39.876357330904405,43.56835515266286,43.36860015084647,39.969220450548455,38.71959987657203,34.25471392906683,33.01213616059766,28.491588229344835,28.516083608281132,25.853141852430703,26.053215319818282,27.36025260632904,27.97526308626938,29.338355327738938,27.429902005415496,24.296549358730037,22.579794914117187,22.298991827486763,22.563705582510206,22.602438064307297,27.165685415411843,28.872115250673733,32.23847541463503,35.78768236186417,39.631153951376426,40.53521476641302,44.90816342192744,44.827292229556896,44.7863996002724,40.8816377002311,36.385933740479366,35.72702184466404,32.691310471880726,29.938265848428664,31.621252783366526,31.47198152998468,35.24837060224499,33.553837064330544,32.57926541688925,35.48814572510157,33.422785888270894,31.315628092420546,30.808116191387626,31.93021198729447,28.847518536518372,31.619170210177423,28.996073862686174,33.338929274845796,31.052002180150545,31.1866930561411,32.98343674207852,31.135735503281104,33.93118935944241,33.285620009309966,35.791701491592136,35.48716873569499,36.26759731144541,35.57754459003429,39.66348639332129,41.150045454143175,39.148440305077465,42.526187644039055,43.94851334106268,42.17129111362521,38.26051297968288,39.146786733106836,36.580006598351865,39.65846931328355,40.63694728083774,40.61942824414385,41.439666259099276,38.30113593616174,43.72251606132746,43.87255931080911,45.67715757144733,45.32422690104528,42.19058807639817,46.94654835757111,49.31247650765342,46.221694757327676,47.54441881245717,44.966230343440984,49.757942813774825,48.265800338873326,50.14576948851354,50.8868237505117,48.26266717021257,48.49226661275032,46.81319339829693,47.93033381093022,48.87300437204574,44.37783916499564,46.14774397322697,43.999665830299875,42.412232733315065,45.16763329426804,43.015414683447325,39.361917215436414,40.91737679416362,42.99550403942194,38.449097579116085,36.20263059417194,40.15281860708401,40.806911522507875,34.96506237507891,36.29639325211545,38.768138220835816,35.19504440603766,32.53706122961932,36.610207685476155,37.14359802944998,41.82196678670458,42.902601860644374,43.355540740353284,45.96366544116878,50.84431983709228,53.00840931363313,56.266357990361136,57.29928012439993,55.27939429066487,57.197015040257355,54.3519156262141,58.70201632671924,58.08965939811236,52.056111929758934,54.506152532388626,58.31548635467127,54.47491828238495,52.00056200874441,54.98652713049534,55.49297821061114,51.28895357275109,49.7137994869312,46.9510064691025,48.27256379921022,51.18762630115933,50.182133264796704,51.3952128085194,53.3033920982756,50.01555718975477,47.28091148673441,48.90792337856172,48.10730777206305,43.648538755448065,43.470761451298024,44.424619751636925,41.70680610632202,39.81322718181575,44.44268923171155,43.59693859925525,38.802675966380384,41.661929717051116,45.59104693455449,45.579404570685945,48.55801001555534,47.85906325480607,51.916607928935846,50.39403495244596,45.319048260261155,49.236450596545865,50.893750085631524,47.73451466698494,46.64023661625818,52.534501846609274,51.33831557109148,46.25520110089012,48.72516867275275,53.38651942798447,51.078979917402705,47.34425629122686,42.62823396731787,46.16569201723701,41.6478362403576,42.30713756765795,37.18720270576495,37.37729848327133,32.87078404699425,32.52856642104299,34.74485972959609,37.90152420949718,38.62958650742177,40.122189861472904,35.930511710148245,38.504014391491516,33.727877366409146,33.32843716390192,36.03059085276799,37.64336771006082,35.45663075045189,32.05014939071988,33.28491388291707,33.2867850065616,29.111328091288133,27.821835291543756,31.30400447805841,31.891033780849593,33.39673684928279,34.4941931203414,34.71659214430983],[25.189663361560687,25.007454496810915,26.937876696800785,21.865659892728317,25.30755865680023,23.117626513892255,23.07281600852576,26.09503062202336,22.458891149220655,22.02753102469959,22.880035203009967,26.607449303653485,26.647085767881713,22.463222392845083,26.694776594508525,29.44762311997096,27.75753400916209,30.670050192723853,31.387416820934508,35.25878918219292,37.48161061561356,41.922510388189664,41.36984976991516,40.53518346039877,38.21376300785221,34.164748720872346,34.185182334530474,30.921283992587824,32.169006817145956,32.94016790185176,33.552130661499405,35.34638921701001,38.01517442405065,40.86130896000343,39.54089822797013,37.25627691642464,38.13206700796907,37.860627871783436,38.00320719827998,44.12917650517937,40.36412246571847,39.80547455303905,44.3167410005186,43.70515529575824,44.933939094044725,44.070315540492004,48.073348012497156,47.74790624648277,43.74016927402315,47.80863502279675,50.47215500447276,50.43306266328103,51.95096021585152,47.530497489191205,52.58729734607743,54.38684395051183,49.93545756624417,49.08572155495505,53.59638147119975,53.42218487664503,48.329941625997854,48.984092137490016,46.92720130409515,47.39371255229873,45.714747945736235,42.80829751576921,38.26282731641491,35.891180719645824,31.643258613218286,29.75740689602573,27.66212610103687,28.46145894482805,31.868396265831283,35.45164005446662,36.411076111127834,42.77488710941539,42.69195905253472,45.79455746574251,45.64856498077421,47.36164857116854,46.827230819063054,46.942340470577186,45.905805025433246,46.95717922274102,43.35114598353364,41.63328838294739,42.10269033340101,43.240663034160335,41.03827421975493,43.77119250843589,40.240597266165366,41.69477418760766,38.491044061174115,37.327293509525276,33.059266673155875,32.35049790078513,28.436634489550688,33.22212708053668,31.968300756510008,34.989626903215076,36.67536407012791,37.97407423170685,38.98385735747229,39.02125782341201,42.4600285898169,38.7696152760645,42.271506110518764,41.529426435968034,38.09063273353247,37.421355408103004,32.795015455777815,31.56113216301419,27.37666212285997,26.866103723197966,24.78982932005033,24.27831985223184,26.054490853748934,25.948040837505957,28.156073579126158,26.947145129902538,23.507165317980576,21.812818902638938,20.297579074716364,20.648006566243758,20.92598358216931,24.8195352361034,26.81777625764408,30.024517685539614,33.53967797912798,37.64011580401461,37.83979440450038,42.38487894483896,42.10320225296364,42.6753678286866,38.25770761087314,33.89823942264886,32.54264497764811,29.637459342160383,26.779598045451767,28.936278096484628,28.387381714006914,32.45050958447837,31.439280093994213,30.491638922614975,33.75366699175012,32.33464845311795,29.934291027147637,29.974744066446792,31.09203960185968,28.432234832333712,31.32611429047672,29.554552522276673,34.16139883556017,32.69259608399043,32.996692618784,34.21552636113964,31.947490092189653,34.155682564659784,33.41981242479587,35.07555299216561,34.06548414217089,35.25662165358057,33.64331186852616,38.041113194409114,38.83819366341472,36.1182146571823,39.43692236310907,40.374706543400094,38.47861833939922,34.71399039581279,35.96165995230468,33.7847515902938,37.429841686144655,38.91299781682847,39.442464424719994,40.6961017193206,38.02875058397445,43.59459423685586,43.14170861158,44.79660341236621,43.77660362702341,40.668515891327125,44.972320008253426,47.04636114152001,43.87337687968564,45.45509978790732,43.106306202494025,47.73510253518933,45.680856741840216,47.423492470165904,47.83391851678894,45.43634285277997,45.357880963298804,43.68606688053722,44.807423360298856,45.645384502296544,41.17679619890427,43.157890590880655,40.9827435033553,39.946960778273834,42.700337674603546,41.08629565859997,37.23901817109055,38.301099778886254,40.80927864415506,36.54124595611393,33.49134881520242,37.65043888354854,39.08411227347896,33.00075639651514,33.9474579925509,36.79907639963261,33.71536510065543,30.501823218595703,34.3308859888243,34.400847330206766,39.56909872956699,39.65724461690311,40.488402818959315,43.431122355156965,48.12946232521141,50.71077378978748,53.643940527572504,54.98999692122,52.93381208058495,55.00822999407062,52.310383733312825,56.40038156862238,55.52794229420087,49.414449921795885,51.99405941364495,55.426937290804254,51.36335298142938,48.998896255754545,51.91659992462645,51.99514617309318,47.76474374627177,46.355760434775696,43.8635553353382,45.75820317961463,48.81039710720782,48.097838054572094,49.759046544436885,52.00186819523791,48.928940489984036,45.734758971644354,47.60527224724562,47.32238604422084,42.68870785488776,42.14116669558955,43.61496467996826,41.15323583968124,38.73783556750666,43.36093127358459,42.974946997034046,38.14056671290894,40.44003717427186,44.411234885843385,43.96724924317265,46.974254485802284,46.19860749927359,50.01582892465536,48.36061852024578,43.11165568482453,46.90182561910966,48.29088796241451,45.024724616293135,43.75332545950916,49.53175413821822,48.0876053069178,42.88254898267158,45.301053981246156,49.83672045185257,47.31780412459515,43.49951043171541,38.799508428969915,41.987359025837605,37.37881414961927,38.52434890118158,33.41657127474144,34.08988132262243,29.898482119817,28.815872482361424,30.951650533781844,33.794137886912765,34.70315201982008,36.72194803268786,32.82777564667744,35.739432822618916,31.140176604821626,31.149225935679734,34.59502179621875,36.47909443578309,34.870409375531835,30.83820576903161,32.04876953827174,32.830567051368874,28.713320841629358,26.697775625654916,30.390944244687734,31.737457647507583,33.251981569318275,34.19127220996669,34.25046545683569],[24.25679183047554,24.52703205857061,27.250192598516048,22.4963203900047,26.92569181415115,25.080751408906764,25.937773544854036,29.178396863008,26.016645561601628,26.356695410979704,27.47794561516655,30.908200222920808,31.30423018720416,27.457830539025,31.85609059293681,34.51319756283929,32.89614188504755,36.079111651302796,36.91487392667527,40.64645298284098,42.94558217274474,47.31235948160114,46.73177208702895,45.73855010030716,43.36986930355948,39.42787627709753,39.28600038044895,36.014023663793594,37.333282379971735,37.914587060016544,38.89391219992935,40.28445580587854,43.022358571412035,46.113446265245,44.70796158542371,42.52200723255198,43.07227626542303,42.92517950330435,42.89102734039912,48.88034391311571,45.147363664634256,44.96304083966311,49.45878564996493,48.67739851780278,49.932284537991045,48.845098329191266,52.84280495351111,52.59240324309041,48.34999611379872,52.19191606593192,55.074493078157445,54.94261033206456,56.7286004822737,52.3232888882405,57.43786955088373,59.42010399209343,55.032316639288126,54.247996946316015,58.83279545110676,58.676102936565,53.69481569987742,54.506974900596425,52.483266110509774,53.03873279860662,51.254279995411665,48.29364420242524,43.894222387690725,41.492101628262446,37.336266131728436,35.42470966407203,33.395175093168575,34.230019971711265,37.60687101746926,41.21229861060646,42.07005956001483,48.45939966797521,48.27537943339559,51.333636738067064,51.07684629965966,52.70502674151576,51.95681605542847,51.86787628679701,50.584735982569555,51.461018546865,47.91685560594246,46.39949026930913,47.18036731748711,48.26727417214653,46.372782425837805,49.12327841725431,45.722056167120925,47.2743264778127,43.97932721103857,42.6277295854503,38.273148229981864,37.519550550961355,33.53677071857042,38.0555598299052,36.479147958739894,38.984793107640236,41.10183458909354,41.824360122704526,43.25333169530183,42.71186849252008,46.074098499806276,42.02613609013913,45.136084021218124,44.12557382733768,40.36128055049996,40.07070520902511,35.321512776157086,34.78396738510927,30.787252195972457,30.618149434954184,29.2322940156798,28.75545204416032,30.97723434347472,30.769522487389903,33.47971810269934,32.33415214421702,28.87252073089434,26.971477876193386,25.029392424807362,24.969638010471964,24.717816852785113,28.194912121750605,29.36080244614764,32.866211367746224,36.07735149055984,40.54635629742871,40.166280597682814,44.75840831828584,44.8041322799085,45.73323969599321,41.24653517955781,37.063230911639046,34.982039437935875,32.73377400274745,30.211463901962684,32.843209600353354,32.47339387733781,36.79496999970934,36.157207492873376,35.02159584761892,38.405295493589975,37.10616669592844,34.48960605550381,34.39618123447823,35.09998396075345,32.26847069922751,34.64283887423164,32.9078636115042,37.25448967595643,35.46705031384377,36.440252423995204,37.903557638076535,35.94773365765876,37.864876450589435,37.65283602040898,38.829080589534016,38.01655973855674,39.74041670170628,37.91262854610599,42.44436509127922,42.80681744939889,39.77516685283051,42.75072916893386,43.42310852766599,41.13887303845659,37.650185118479044,38.977039146320415,37.24398113731617,41.17414863036433,42.87777869169028,43.641116805743934,44.80476799279238,42.45765105270184,47.94134084969044,47.53208948146535,48.924197502866534,47.82124986476563,44.310025187948305,48.46457819760184,50.500705199415464,47.4397881875251,49.511512588605164,47.48861019314706,52.06462150917669,49.865950322684014,51.284345041741325,51.36587757974026,48.970982797859236,48.43181869050029,46.522738092397205,47.376161634348975,47.79666825736465,43.176393699275565,44.90078024741683,42.28901958089983,41.564106007587704,43.752799442174734,42.362674813039554,38.62950345025626,39.00300920700366,41.34179062588097,37.2298476737417,33.77954044762848,37.56729659019997,39.12940541506696,32.9239426745362,33.33862481745517,35.984721593325574,33.156042498815935,29.55763575359778,32.815346969434486,33.09420095401687,38.116706212475236,38.23002636308295,39.56861282789279,42.35758140568427,47.17563601423801,49.58572705798712,52.88437748104539,54.55216264003249,52.878064163860564,55.30844675800543,53.04597145931626,57.122581116410814,55.82040245572702,49.92908632495879,52.919909984818624,56.06739952058754,51.813654273869204,49.84720029195858,53.0417972185494,52.57808209066936,48.21946031375284,47.58806917072131,44.78832969399176,47.34364628589763,50.21281690513424,49.196829524214635,51.19337443557544,53.20398569952889,50.569352755937906,47.15817353369613,48.51264034209618,48.550872060683304,44.11221109110476,42.970009076856314,44.26973478749707,41.878697597427475,39.15815823120245,43.42991211202539,42.974764418702534,38.03375304962261,39.94431270221708,43.818643865707514,43.444310839128605,46.786467405713374,46.48525601256785,50.147360353636834,47.94284263831877,42.950593927325315,47.07111344788652,47.96280113650758,44.52675834693195,43.78724018930536,49.39216043082175,47.391340555037786,42.40899925803471,45.322209258825026,49.45315262299431,46.48638912534639,42.8012415850905,38.077990948606754,40.808375347313984,36.04695658547485,36.899126844472185,32.12237655982379,33.36617255252783,29.385085383389082,27.933557896202107,30.526882856998874,33.25573882824138,34.770464406118116,36.978341047153634,33.80037566149768,37.18643810090413,33.01639330821351,32.46750418073154,36.32790061287461,37.834677145618244,36.772940543419836,32.56890879664771,32.940316476728114,33.90818936951225,30.51978632013181,27.533091342742573,30.639919565661693,31.964927195785716,33.221645794342955,33.90969881718558,33.688013725488354],[21.12317542048121,20.685316902293106,22.793525663277343,17.710734238652048,21.88096289768463,20.850091637694877,21.735031274619022,25.43820652993595,22.808083565098315,23.102049324505415,24.8656306153501,28.35796879362129,28.14774329980157,24.666582715003827,29.486872283692026,31.776623995446936,29.755578610180173,33.2424953515971,34.144413204882774,37.5277916513193,39.97757269710489,44.15684754482736,43.60902487131327,42.487266062231235,39.90277754946029,36.149077980382046,35.66654832025791,32.43415163873202,34.013212508208454,34.63965530474322,36.475206596019724,37.44410118571585,40.59778298576739,43.720700690983286,41.861245948038466,39.52109821223645,39.71066002038241,39.3459265694549,39.00534820345549,44.7835998915849,41.08932722219578,41.3895672030705,45.839874797197744,44.88015915790048,46.30199835827585,45.10185409195592,49.0837450658371,48.69253568990418,44.25929548320121,47.86992244232104,50.8497369041577,50.56403289553127,52.60409615114391,48.231486395215605,53.41634198477852,55.60738391781946,51.33411315055159,50.6529762839871,55.34109297342302,55.21528642825231,50.443908016298174,51.6115895569221,49.76528007241232,50.52071852817662,48.42215690059736,45.33150946268729,41.37541417616925,38.98558275260044,35.137069754108886,33.4370804940295,31.575288727245677,33.00073901622054,36.1102643313037,39.445813737464235,40.03182836829092,46.52701105382027,45.768953142785556,48.944652867372106,48.26152161545662,49.545131893968474,48.58255456922482,48.08564460939617,46.72722824642226,47.264233399591085,43.7181362774212,42.518241085453056,43.607124957783306,44.90319393143636,43.33514938512979,46.49533772801835,43.36875939846705,45.41366153632027,42.180332206605314,40.75871589261349,36.22025391940042,35.985885327375854,31.794265415487924,35.83144444406732,34.00239059769862,36.519732010375314,38.15021928656436,38.43425577569762,39.65316464626318,38.71604935260361,41.64584290437479,37.487520119043445,40.457707129170466,39.19509643654809,35.46235231042615,35.4526066432297,30.69032599186577,30.17848832470543,26.463539298702216,26.105238921375047,25.268515924431316,24.5890307281397,27.24383908041823,26.90470565506675,30.36262842131355,29.322939727773647,25.8570735912348,23.72407260630519,21.148145627103933,20.777442127668245,20.391950864866303,23.368517612609097,24.530614219389307,27.910133817895442,31.04591420524037,35.59248667631377,34.92690140661871,39.5500985489129,39.55346202617866,40.70529022371739,36.085261695760146,32.00605939180877,29.650667236446182,27.586849951665187,25.221878760766803,28.105959676040992,27.985494260248586,32.5298554575331,32.12978396898644,30.763967308166297,34.23179512214963,33.164752054472466,30.35579581420061,30.387872705420705,30.92957196149142,28.35897752730546,30.699688436084703,29.582935051726498,34.03022721046449,32.975869551584644,33.973360466431046,34.94480024043566,32.75032011846171,34.203368925397925,34.02043805732288,34.599850568629925,33.51831749251414,35.59726323864645,33.42014519791182,38.049787871046426,38.04330876726144,34.85161897634853,37.62869022892985,38.236642778811444,35.80904216954884,32.41267888890124,33.75097416767386,32.22109185803911,36.319077400808446,38.22195859313762,39.25380495874142,40.55813140528082,38.57700776920742,44.043562851544756,43.36154659229549,44.578600946689534,43.2110809268093,39.610852718888225,43.540846083853886,45.4810604770604,42.45621344154705,44.78039159283672,43.00925242679743,47.52810850669769,45.27206914059306,46.42878840438333,46.34510680965339,43.93618459214704,43.199028623275154,41.22001353920531,42.017525722200496,42.381369268550515,37.775598577407784,39.56203197162254,37.00464848883028,36.455253322985726,38.74395182280243,37.58303142477654,33.752029332216544,34.045124876980516,36.647252937312444,32.680316615683125,28.942833506872212,32.95617888464252,34.922629135969764,28.685341958043605,29.09434461805011,32.065872837652414,29.483639350914764,25.750647413721808,29.13219233188654,28.985866168567163,34.36170136104751,33.894444608415135,35.13817979468816,38.180938770389915,42.816478729680945,45.54989024970713,48.45703452528381,50.12497739076978,48.2640210280048,50.62697103280692,48.29801779740621,52.23295553109271,50.95457477960512,44.9669987245262,47.8847183429257,50.94722699618055,46.671232610382575,44.63956556806299,47.74416464265707,47.274830592734105,42.945701539837074,42.19542889072605,39.54450949125665,42.187586926206315,45.136299732554896,44.33699394982145,46.474570164854725,48.72996662775067,46.12313209839791,42.5202652290901,44.161485951453685,44.427911150671825,39.858719399398794,38.6748832768247,40.374668967090116,38.16662379220261,35.230527260800315,39.602338309567585,39.51824975675862,34.66565457953826,36.332827280083784,40.24817644642397,39.54065088556924,42.71142467213241,42.156121583605426,45.71527443200555,43.69014190211163,38.50504081400657,42.395977311316855,43.35105725192483,39.95055315324698,38.90214979157943,44.50669451792553,42.648017674915174,37.52434660916721,40.2195211695014,44.45864808536303,41.62277286266166,37.851908653110996,33.144365960498426,36.00617651589005,31.301890082693916,32.45715522816201,27.49816097177546,28.655243704116707,24.764880101837438,23.129939975892583,25.48453167985763,28.16463000991976,29.5086945867139,31.82079043640425,28.589239858600273,32.00535350139486,27.897976511494036,27.647530973121206,31.79845732470705,33.54231708825482,32.743414045061606,28.24525074031266,28.821318580389487,30.265504859290886,26.790349111049714,23.64211764063615,27.053643497907252,28.94561782477261,30.303315640260784,30.981726891284698,30.812190985008623],[23.697446625712765,23.1405619738983,25.220059951649947,20.193147825278217,24.35922188918018,24.34442355799583,25.393918871830728,29.370344599987302,27.050086135431272,27.188639884566722,29.142009187137674,32.723861899784836,32.134482247963504,28.659412605323567,33.54514389164825,35.739176012798204,33.34990482940471,36.68602806192827,37.114934088988484,40.513622982971604,42.68128100775897,46.771372621258614,45.9467953706251,44.48907206598969,42.135249289261104,38.559721183545605,38.29352790803101,35.37999751269164,37.362730871045294,38.30807015563121,40.341963748135875,41.43335981191992,44.726283058609845,47.683029828648635,45.66368654666187,43.084245603431555,43.33159765391136,42.49648787039048,41.86889321040845,47.457817423799014,43.44536684581167,44.027345180267275,48.39231407582374,47.08050077736458,48.23570601041563,46.7000775682696,50.637437362190184,50.584046015008056,46.01554112411499,49.38255375794062,52.72384948581473,52.58632631593267,54.862277028363785,50.689367306706714,56.0300988872754,58.093342465477306,53.79017439695535,53.49003216497851,58.167777345561696,57.72153733185025,53.113436175259814,54.56867722499202,52.970139953800754,53.446601892188895,51.177563136613884,48.317397544975705,44.33582709367339,42.265898452135474,38.277380781556104,36.94967204213805,34.88979436412156,36.24689711132214,39.576124813505324,42.63842194122535,43.5450852109011,50.00981835047378,49.145880729860345,52.532551552473244,51.72414815040719,52.77331959480856,51.96190474960189,51.20198270349243,50.0528988498707,50.254758883634565,46.57853718066849,45.70468039889424,46.764538075535775,48.430567101536816,46.742715379873964,50.228367452827186,47.08136154666615,49.17327034698778,46.090981302259735,44.84725159615018,40.33682587974918,40.23021989297176,36.056388537275836,40.11696981097671,38.32567336181011,40.92847509727331,42.300437961984954,42.4614977424825,43.46549514430739,42.348628389841,44.84968531056684,40.63859937885907,43.41701205844669,41.79945309349285,38.09475428580444,38.50320694708986,33.76320704560162,33.31240149377569,29.930614591259786,29.239194249055345,28.686386060595677,27.550275036090124,30.22517771870456,29.335282985194855,32.929607390579775,32.45832505364814,28.931574564534145,27.085917157081468,24.028654904305796,23.911291277752415,23.80722369941142,26.167214669164824,27.461471849481796,30.594759499661546,33.57013284453422,38.19201351442089,36.957060489417465,41.6117641422182,41.46155681290911,43.09488199454281,38.16613109520011,34.32030895851903,31.419147603472997,29.56419804035769,27.170043222750234,30.280026250227124,29.633085189417248,34.139884689800326,34.30299078913569,33.15002793172067,36.75743459100207,36.17939557445488,33.33616993303803,33.765954010740515,34.36257033282021,32.1056872308187,34.450952805715524,33.70940932236574,38.14944322863756,37.323334134000085,38.39790474917036,39.202055491755054,36.888782623557866,38.10420809496864,37.84227551345426,38.029504904056765,36.52166351551292,38.706584197042595,35.96422115678679,40.675843040331046,40.21143498365918,36.473417304326006,39.18809458203784,39.277351077631465,36.833481693208334,33.68580931567742,35.366963526193075,34.22185213971205,38.659023668211304,40.882044577638034,42.24006510581918,43.81225232715924,42.078973285406704,47.551124097297034,46.5220287353831,47.67600426134375,45.88478233639211,42.43165912052735,45.96000857806937,47.62900695866662,44.57629751950965,46.975979341683235,45.3291668362481,49.627737583064246,46.8955307994221,48.028909552540824,47.69063861135972,45.57794134223926,44.618908233062676,42.71026778803292,43.50333838779693,43.74135565612353,39.24913835667046,41.154001969959126,38.554430664437945,38.530953025898455,40.64300793775977,39.94828138370083,36.106881895753915,35.85261754145047,38.65871286515923,35.033117588090256,30.709001801210363,34.62930956408758,37.12938885071132,30.878123659396337,30.79725811732331,33.85561830623452,31.76787203461571,27.65703085773483,30.47235751113878,30.077637927028636,35.6058018206943,34.36547595080158,36.13681782547445,39.310249194300894,43.7740367819441,46.70451587333566,49.484245446789885,51.48467487414908,49.75963117827107,52.319284277460994,50.253570758683125,53.94622221526781,52.367621446727846,46.46920512001991,49.55278301347256,52.201869124549354,47.74564134933922,45.94549763451813,49.005196459671566,48.03224989218445,43.709162973854035,43.31403049197996,40.890665791959435,44.093537328710426,47.058609512727436,46.4183936855499,48.90098611529674,51.280953922573346,48.937538051374524,45.06952275534111,46.704875083088375,47.344659949046275,42.80678104360666,41.28300461001638,43.190475259098505,41.17820381696594,37.93930098091766,42.0954675828302,42.23264539626241,37.42320184287228,38.60626269758209,42.42606243271458,41.50274160019341,44.75990388089134,44.329112165430814,47.62159449523908,45.34398350265776,40.23058571153765,44.068142914491965,44.63373404946455,41.14753057148269,40.17149530663415,45.518910702944886,43.273695780684704,38.22080338593711,40.99330387104631,44.9064812166143,41.739187212452705,38.000572081979975,33.39377654985529,35.62251200244525,30.831005980837872,32.34740906645615,27.69909864715982,29.554519956485994,26.18302122063649,23.75416911751564,26.129053678383862,28.32252254020773,30.05356836665301,32.887377087509165,30.2426396280172,33.935253656621235,30.19669003371544,30.15316406969475,34.73234660204406,36.503319807632494,36.14526010264331,31.4242847823647,31.76640345858816,33.610185400713306,30.43894615015317,26.840067694864825,30.034423605616016,32.19600659784547,33.40450937637473,33.85300248761003,33.429335803730304],[21.36365685852911,20.56667925636516,22.58794088555097,17.84945819917738,22.24522961073506,23.003239810020123,24.558443218132826,28.74673604480669,27.097541211554514,27.64901788320047,30.01544868874522,33.35528089374142,32.682469642743634,29.71211241137202,34.79147073909575,36.68906022134322,34.233000192734785,37.87443495508102,38.52914091474409,41.56241645757022,43.9160855211185,47.80697500063803,47.075302389221015,45.544245734897196,42.98812986261978,39.61797726789233,38.976677070185026,36.06734119111716,38.11610293238382,38.88541245969508,41.58597801943231,42.1389453427345,45.65698090554259,48.779818416718044,46.48056383673471,43.9519988762082,43.75473889771525,42.97461871616802,42.1129568573386,47.42666735623285,43.601546539621395,44.67093373282674,48.95590545357563,47.52215387431206,48.864948038019136,47.213846815849436,51.10062532876185,50.90809986725642,46.14225981355174,49.21200827418781,52.63469451519572,52.292390934332865,54.841201778099894,50.69924945767883,56.0268256140829,58.3663461011075,54.2333080868524,53.951883121643874,58.705235717473585,58.37890346276652,53.98407217279317,55.68791428402107,54.176380349368195,54.91043381888348,52.433898600488526,49.42327357243354,45.868383415845145,43.72679988166696,40.073370188698775,38.77437564627244,36.93399370753345,38.65739925572432,41.71498511786147,44.67418952567261,45.255355826735666,51.75425931741269,50.49660644624104,53.84849302981346,52.73348238010245,53.55135177258942,52.436031004168996,51.34362889382731,49.95388166596843,49.88191604116648,46.32641932056857,45.73657243378775,47.18931938860107,48.85478110702399,47.61752007755928,51.261945409978196,48.40419634436798,50.83563462406902,47.72660253691228,46.300790275417604,41.67414936692905,41.82843834998756,37.546058337508484,41.104290466064846,38.999802088818626,41.257846833690856,42.589954787149594,42.14335937015614,43.28311256581811,41.59721522778448,43.78101777518483,39.35119003583103,41.746740585110786,39.85497120471149,36.026375156475815,36.824861951507955,32.122014073992915,32.15371664623938,29.158018406294797,28.636851982751605,28.8404413336455,27.736734696817688,30.84921797962508,29.979609182335516,34.206366863725755,33.69645807895572,30.267351299520215,28.162165788905615,24.73672608465004,24.13742902205631,23.58694532339121,25.304164517185242,25.951993071974893,29.09461861218678,31.725870840059933,36.52086496696364,34.79130081633746,39.399246297727245,39.48002065657941,41.40721798069129,36.49268102405291,32.90555065908283,29.46562648723212,28.258212410057922,26.327780632235672,29.76809689624486,29.562296093280246,34.262126075959706,34.683816004436196,33.235485370396916,36.847978071836415,36.399318865297865,33.37909802286676,33.711876527412045,33.918719229682026,31.74527657650359,33.67742218543712,33.334594727749234,37.56940493741766,37.03197958415119,38.46223207558788,39.097762083287925,36.883827313840136,37.634667478747794,37.72790099260685,37.287874474152325,35.8399053199097,38.53161693028165,35.60373051214572,40.34245494729567,39.4419628360052,35.582365882995674,37.85768681078356,37.820269785001756,35.03573047270602,32.19305311392516,33.824082974048366,33.100911054640655,37.67057754882438,40.06682435326285,41.669748417935246,43.19628862701098,41.894206176088616,47.21123828096821,46.1122369296038,46.97194728643599,45.05829321961632,41.307276546734194,44.59056796152607,46.19350462990242,43.29948749857165,46.16048961636076,44.90834737646317,49.120000747220665,46.405970809962895,47.11462518028382,46.48905509228709,44.32988405293376,42.96096455454734,40.84648890696843,41.390721339515174,41.3023226845979,36.76681400958881,38.47690323199494,35.65346234235887,35.91779171392023,37.68878725810161,37.28241905176782,33.5302745470057,32.78984802971024,35.6051101977571,32.247932954137525,27.573026300039402,31.317301791793998,34.134171234807916,27.933025512845383,27.49827682117024,30.599971721588545,28.91543132727652,24.5742859578333,27.021291791436003,26.431228042765085,32.03937034246717,30.400029077922646,32.39725880072937,35.615075018605836,39.981717044627,43.00158093856651,45.71463391076815,47.88044593632278,46.26902248253859,48.97325626472124,47.14002270582922,50.713451039841296,48.911016607124004,43.140957262791744,46.39942758441735,48.817871568474544,44.276415093877716,42.69726860393323,45.86108173527046,44.57905953999891,40.22783760813727,40.26508410766499,37.73096404673142,41.3477308179151,44.199464312741114,43.499770766337534,46.237409741913034,48.59753222787225,46.56049890421404,42.496904300456166,43.978166465669126,44.945078539750064,40.50996583924629,38.62773101670351,40.66672581364593,38.85497478652264,35.35152047146213,39.290392524094635,39.64344649122496,34.92881724426121,35.68004353701328,39.408690648296165,38.30357156169266,41.59529010975753,41.280196613417964,44.37445331745776,41.917347971497776,36.89034310525729,40.728337933362766,41.033345488172785,37.505044594722456,36.666679871187995,41.85854430676353,39.39475406840197,34.433588408882045,37.35495593151605,41.063962770264745,37.73906751883394,34.058853961325674,29.487860247657053,31.52452746861031,26.71140240267113,28.20847517026233,23.695562360868024,25.84851692163389,22.78691931999334,20.000423278857067,22.468485292683205,24.513845179127937,26.518331390973405,29.473738754302932,27.33559617587979,31.269354728437474,27.962223074451977,27.730806380345463,32.623510345231736,34.268523618860804,34.42303545402155,29.548722646349947,29.496079528652782,31.724143248866536,29.036025661245375,24.89587011545367,27.809978681832412,30.289392976389774,31.3874666068719,31.666717283914682,31.126901274429883],[20.786703646968558,19.234235634450837,20.26594736127578,15.155343517326138,18.71314736966872,20.285298831481807,21.476537974751526,25.898489233988958,24.577259566031433,24.77417396193817,27.47366265104145,30.873137799082787,29.594538337280284,26.872009651573098,32.0508661162635,33.66240109415424,30.88185124604632,34.54858223808822,35.12382765196334,37.90323227518954,40.267553869964985,43.993526934722034,43.276445085391316,41.67870814593212,39.032062806431874,35.82631525517693,35.02927694834777,32.24902275028368,34.50326625804394,35.41506047938655,38.57139362018637,38.98965560429722,42.73266294553472,45.72123863078965,43.153356090039615,40.47779893543509,40.159192477198,39.10639380002381,38.04315142466746,43.18733382612932,39.35075646050865,40.6737494681049,44.88473828729868,43.343267223496404,44.74628878362865,43.049380163604795,46.90336563770039,46.645679158260094,41.81550693277424,44.77500398854925,48.22001529930312,47.840158273129,50.48549234685219,46.40075954316246,51.75486631233217,54.141027307541854,50.074332124632036,49.90022199791759,54.665190134094935,54.309819764996845,50.067337939861815,51.98399756837902,50.626814655653085,51.41945639592103,48.767105240452494,45.74911017580631,42.48735110713644,40.439722961422895,37.012320715492095,35.94720488398839,34.21461490294201,36.26662864089971,39.12178208672543,41.807522593016586,42.273431092593,48.73825362400131,47.139899101900646,50.57834013295271,49.213253701086884,49.78937151964628,48.64066740277533,47.31337568859872,46.008697649997764,45.71381562565158,42.120497720456015,41.745632632201534,43.281241945061595,45.157585118653735,44.02454068586202,47.949248484483995,45.25815932906722,47.9538851836273,44.97919739774638,43.6187115112629,38.98400409264485,39.506041481944635,35.20766698544494,38.47172743047524,36.35991032805261,38.79600125751533,39.575087510484366,39.039581082324005,39.81630761670576,38.071384285325514,39.88549441290582,35.542946344664124,37.96950575425156,35.951122575854924,32.31012393821404,33.223889339869494,28.594431973522518,28.345685492853455,25.609013869619385,24.727476466332554,25.190552129525695,23.829704753028672,27.074675649487062,26.047463726124487,30.63560496457964,30.290979098219186,26.95224047948602,24.860650258752013,21.068838019745478,20.410274437321057,20.0156441848073,21.23630068914973,22.263948737829875,25.082088233328832,27.753768609366798,32.44852833468629,30.652058414540125,35.28589222886661,35.146684420562025,37.16989959888055,32.11547462171564,28.576346366566842,25.10705157475867,23.796115200408913,21.860392923889485,25.374884006853254,25.212584294467938,29.96146793212628,30.533378612247844,29.021871995140355,32.64841558880407,32.42669717392109,29.369288473348362,29.926573140763182,30.17469149075798,28.368549461962647,30.456982474781697,30.625430507653938,34.96746182348638,35.08511703643276,36.256888514929926,36.43417884118626,33.949255975623075,34.43223519598255,34.32176724218015,33.5615628876576,31.75655891454029,34.50604643927157,31.308625559907806,36.055440335073875,34.97019641654648,31.01586974918996,33.2731495839115,33.217693269848496,30.468836546824594,27.596618641164813,29.27873764924935,28.604509399644755,33.25853322418603,35.76944610676837,37.529164566409456,39.23317975464706,38.122210423242265,43.412513039068216,42.05509888590375,42.88379201690184,40.74627153347833,37.13964945610252,40.244272346479846,41.74663124360709,38.82145580181481,41.675043033867496,40.49624807338525,44.64007450101015,41.8865689728727,42.53034707347303,41.882637475843296,39.744728509646286,38.39585366375112,36.342866462465345,36.97587338779911,37.02815239661433,32.56844078946509,34.49366714705315,31.920055809684108,32.2605968938776,34.380992500381105,34.11269373216671,30.22305527263083,29.683914516671994,32.835434403789975,29.56870841508705,24.78423272003947,28.901562929710437,32.02595448573297,25.904652353009915,25.691811926080053,29.138710092876277,27.571886742998768,23.357301050829747,26.117313741977668,25.06379691594532,30.979149547612106,28.81644849536014,30.500940862872618,33.99932358739419,38.1308835647407,41.47848082654036,43.70214780697513,45.73514660184865,43.80432063810087,46.29409853833603,44.216235762732786,47.66508146447696,46.06721703078123,40.1094825715336,43.125803319121424,45.580296363465294,41.08715145194819,39.269072615824065,42.22207374713162,41.14957282866739,36.868079861684876,36.44128963806287,34.21461246499855,37.65699638452445,40.676695871571084,40.31917935029319,43.04200772408528,45.70857732151869,43.51380712535418,39.383343468253315,41.3320972959376,42.34827807612921,37.7425245885599,36.085033283485345,38.51644246281654,36.83051713189434,33.31196475180504,37.450680213097485,38.114009484956945,33.553871326751576,34.278443135855476,38.05167871181138,36.663904230176044,39.654544113792106,38.92662413280764,41.989516320234216,39.92711226318969,34.64120522179757,38.117915943457525,38.69023232282569,35.27272465538416,33.909068700684784,39.17461131328784,37.07376001756742,31.875716100009466,34.36026813082347,38.351357873599135,35.33434225520163,31.50141894487726,26.955690086133856,29.297455276355567,24.603007671273026,26.596572951716297,21.78237864740004,23.61097724770366,20.602312465085834,17.739549563641923,19.687268260347615,21.680488347942468,23.244480890826235,26.3062001540341,23.810009966610842,27.59415837094641,24.18673292251737,24.54188241351436,29.526453775824248,31.537624136620916,31.70639344085148,26.68471936430749,27.160829128055887,29.691108691546646,26.68961269007709,22.8704053474506,26.21581723930622,29.124319697494265,30.41777559400412,30.827765653994955,30.493655229112623],[22.212053304657015,20.951414004623256,22.11468442101146,16.70732383873949,20.065368152070167,20.57276431343913,21.19634229372031,25.384594492027446,23.30898879154082,23.08469423671604,25.384592719508163,29.05366036512388,27.879683813468162,24.61928859208773,29.663412139321363,31.587135262874472,28.89824884595331,32.32467622312051,32.77049006016828,35.92666309853544,38.18256012877439,42.14411767929201,41.391192488041355,39.92726064865883,37.41196063274709,33.93953335524273,33.4651095013536,30.591902495277623,32.724146863182625,33.76533341240507,36.26195739477043,37.18863365366197,40.715049111428854,43.58067717832342,41.29343065012983,38.59205492261199,38.70121158655308,37.672344368945254,36.89536334730172,42.38223418157053,38.405362390611984,39.18675618202878,43.517683917976704,42.164163499984326,43.446166932610346,41.93041543474809,45.862735963504946,45.664165757953946,41.04091708674477,44.3681752823641,47.66234961540826,47.45427229494622,49.78271609827468,45.611218167745555,50.96294708557707,53.107827305001535,48.86691504987161,48.59507014167922,53.30389817334758,52.89625441527615,48.3970603537519,50.0244380102417,48.53112828018185,49.1364623539233,46.70174214127106,43.76801523947532,40.08222891856455,38.029804721898685,34.284708953686085,33.12292075177623,31.20458004739071,32.96424324201137,36.04711102590737,38.889668005790945,39.60321555059571,46.079332855854524,44.858509866034346,48.30987095516195,47.25262296541756,48.09804427578249,47.21393524978208,46.26081431030255,45.15127485692875,45.19662856402325,41.4966419132661,40.76744608705982,41.92203587199344,43.73913230109803,42.17902843159414,45.91412149645775,42.93752669588893,45.32313783052043,42.337004490440705,41.11582199106974,36.55917985716864,36.833032383672226,32.602953291921416,36.360683866119864,34.538147940948754,37.32437714923775,38.16900803197233,38.26058010997073,38.93460772800505,37.79458596543215,40.02004719809845,35.903462960845154,38.76565726863701,37.105804412488794,33.58380176476322,34.004660808927405,29.324427932685857,28.555603803033282,25.32675293137722,24.31977905503236,23.921324625936446,22.59196605740751,25.416473804984705,24.465485890552603,28.445663913563234,28.025303365944502,24.553179371920283,22.63679093025251,19.234345190401953,19.037019621279793,19.07956502835609,21.155456329031466,22.87070268136975,25.744251026746387,28.82140388296948,33.32244053523384,32.171665381036064,36.84051181333321,36.50113568710964,38.11109603597485,33.110717051367594,29.240561782976087,26.476480963852083,24.411244737260724,21.9579606317139,25.08148194056911,24.560636327418187,29.1597811478332,29.337516948669762,28.073380297324647,31.694393426064497,31.235995967820163,28.34418852410364,28.930685786974237,29.579982000482133,27.619944010921362,30.15369320848401,29.856059199537214,34.43316619202898,34.24675522101891,35.04437563201329,35.40068337578422,32.813627345944326,33.80733180220587,33.343144411167344,33.295732267105905,31.504711324436563,33.718579535313566,30.813208521836078,35.53917067680411,35.00407254228348,31.288028406399544,34.02977810047403,34.228628460423,31.843890058931784,28.588515446458988,30.243537686180037,29.02752354186089,33.47771437425411,35.74500554534822,37.18887174734202,38.89205556047299,37.28869454842042,42.75606554047218,41.530785999098335,42.674793489360674,40.7440945234373,37.40483179686509,40.853790979170896,42.48504365150724,39.40023855400907,41.76666152386844,40.15361567684844,44.44978468821021,41.77227366760262,42.86004954807099,42.5639347645717,40.403437546815596,39.52769253141039,37.671753921825854,38.56111923779426,38.974422938483364,34.54298581097345,36.63030954300266,34.2939173138753,34.2167484174788,36.7064633457242,36.0401146285116,32.07062936333225,32.14038688128404,35.21518656337281,31.604651828186615,27.318219468438965,31.600094894505773,34.27684592296624,28.103791099124308,28.33268507274358,31.697791196634608,29.626578455762647,25.696301165106007,28.91664536278587,28.14148273080643,33.930960483455316,32.360711170155994,33.73203795925532,37.13838964337995,41.41515878999173,44.61747115104211,46.95494583582497,48.75835885315459,46.70094957965753,49.01358326906929,46.66083516686019,50.28023380325693,48.96142977510875,42.87503261220168,45.68504401036202,48.45337382174912,44.09144017007293,42.01640088573751,44.87759993313687,44.21900495558433,39.973885251013854,39.05348608257705,36.88123011305502,39.77750557135437,42.89821979971893,42.55604871502301,44.947825893161635,47.59895905329393,45.04930284171779,41.172182814691034,43.263447624462295,43.87757615695668,39.16444999812113,37.929655888630144,40.179843209366936,38.25307523343736,35.05350554189385,39.44752051274409,39.84818128153161,35.1777112765437,36.42124408743519,40.30446322436719,39.14737198994165,42.098628657896334,41.24619021684065,44.559376608252315,42.71119330980894,37.34035234593571,40.8419113162448,41.74123017683678,38.38217684533053,36.89942390560916,42.36046322515108,40.54245324882097,35.26649323039805,37.60751133441733,41.84683273431356,39.04462337059247,35.17063102387281,30.58236224997062,33.22298995567617,28.577322759974148,30.443410477210968,25.468958333529642,26.873281734190854,23.438852238298452,21.140224856670773,23.03992145070022,25.290860884552057,26.51520041264407,29.304433162292263,26.184188822366842,29.649261261495063,25.716023308050964,26.19813640692922,30.76418940402883,32.89122820061015,32.44958590688454,27.623194379309748,28.538459341557235,30.600732593876824,27.044387317052152,23.84851825046613,27.51965526192667,30.057108511353462,31.48529549854589,32.09487117191783,31.905974145976383],[20.193029173714997,18.33706544214846,18.587630249446757,12.987963557630941,15.484887812503052,16.282565264316137,16.55817722214181,20.896411798024264,19.19596546702102,18.864990297380444,21.55667810772567,25.120963783315137,23.57280862172651,20.753393267819924,25.93431245703677,27.532267920380583,24.750775891881123,28.445701259265935,29.24138225873159,32.02243586262636,34.56460256439833,38.37600053137449,37.863947359720775,36.5498219285511,33.71248850556239,30.325564707807462,29.40818445696992,26.403175480262156,28.47402445059449,29.359432722717493,32.40927951784312,32.92089845669143,36.649794564676554,39.57566178091979,37.04829043012507,34.39075562061075,34.18033869455206,33.252319994743004,32.408091002437764,37.80946515242051,34.101778739689806,35.086751483348195,39.39827910241999,38.150742732500575,39.74295766193923,38.37836647886339,42.299952552835514,41.76831283514403,37.10361587069069,40.41561345032069,43.506804260639996,43.09297213129919,45.44021117724118,41.171641120004985,46.45032312150474,48.82999026541128,44.71411043631343,44.27714096373051,49.04489632835453,48.87265150830067,44.456347662728916,46.16160166782272,44.66073294717271,45.59719809220684,43.05096066375577,39.893900785991825,36.635516375144775,34.417735467702045,31.0994099363255,29.910467490619695,28.316100414255853,30.55077564286952,33.191368139365885,35.92495203067838,36.19909401164944,42.677395045532286,41.08609150398521,44.46070938717779,43.15771916526192,43.87154343289656,42.73898643582211,41.63910982826032,40.36478796488785,40.35175694053251,36.73383161211652,36.06201672117684,37.4628768738092,39.215873999451304,37.994453196565,41.82068145305838,39.10872360069232,41.821808874092625,38.843301392324776,37.49305082620488,32.869972327228176,33.49409195006526,29.210401019388026,32.4742519570643,30.49723424598923,33.254760469822024,33.75623136901984,33.62148925124037,34.16933637345269,32.88632108784322,34.98241485252007,30.8817853648979,33.79344066669916,32.179453160316015,28.749546991180264,29.098932919836795,24.459923147810297,23.532779326208978,20.406798265562085,19.330728744520275,19.257250184196366,18.008879027829735,21.17130164068466,20.495730882304326,24.99320426354776,24.296493153105967,20.98561927342421,18.748696879207447,15.130256768951709,14.443451986973246,14.257676787219483,16.11704237777561,17.94581888282252,20.72763654724215,23.887986336201422,28.323863451415892,27.381320263590148,32.04535240338983,31.706957842448215,33.143245391160974,28.23338178797082,24.28105274217485,21.741184369596862,19.58796596371186,17.271331440879948,20.435742706357416,20.554052347310133,25.32268958237444,25.295651724048348,23.683895886693985,27.24523314952491,26.674959101615983,23.674439151197085,24.14966848773963,24.65928420526423,22.842052842354498,25.394768203150424,25.474931848572922,30.086282178579044,30.45252450088047,31.098217893710807,31.08189536437068,28.35488351662768,29.09095489018573,28.620518622234805,28.322194791212677,26.515904061680594,28.91174418820396,26.086800800292067,30.80878403479285,30.292580569049804,26.855134494324542,29.493071992040278,30.03937111575651,27.58903636674121,24.2019280894553,25.611858325243812,24.260649010684396,28.601995206766475,30.808954224047856,32.251478852965256,33.91484718614704,32.454771834394336,37.869202055254476,36.62920892376871,37.68914905273341,35.81380648925891,32.368984770914,35.89188371591389,37.620439365725105,34.57006960202377,37.04718601911508,35.53753065828212,39.91774715349882,37.558984095805464,38.46114532033258,38.23451604324125,35.85411939220769,35.01872269180349,33.08978893301756,33.9768113401337,34.49580997832579,30.03033974561648,32.1453186287849,29.985228655590294,29.6708572261284,32.467807994687675,31.676998486948897,27.637409144450192,28.127727838425553,31.315129522539618,27.6495565944334,23.631044725203427,28.178257595876566,30.804985942681224,24.7968324676322,25.429973195916816,28.964519022763508,26.82223385765419,23.246582941825835,26.886947398048427,25.88936044915413,31.723170099972823,30.186388381218826,31.01766874382417,34.51297038534851,38.65241203733503,41.96167174542295,43.988682502406704,45.51920358012603,43.18234637590978,45.23515570852571,42.601474209101504,46.23771986710526,45.210639017856174,38.987439614644785,41.538919511876045,44.53579352472903,40.32936414151558,37.986938856580096,40.734878235375334,40.500557015083814,36.32434483442976,34.922598575289214,32.8074360118431,35.27696349814863,38.47920502035599,38.28262256273478,40.50335036559038,43.30602535017888,40.55686797591833,36.74673027493666,39.166347452373515,39.67856960924618,34.849566223995105,33.9171596173909,36.3816331876555,34.50722385245629,31.42739918809186,36.01991066165061,36.592515132976,32.08942841241926,33.46607275927785,37.37810124826768,36.094287948727114,38.7459834173591,37.53243788262591,40.91713334503434,39.49102988986008,33.94487035584189,37.174578303997684,38.45425948141445,35.25354917377767,33.375564360041146,38.976418952862666,37.64223190650475,32.229996203218064,34.20348383897967,38.77735937781739,36.413507701603855,32.47466894947087,27.92153610307457,31.120916952659833,26.720480935308668,28.632716326486534,23.401904118672192,24.10685354124079,20.51466548853758,18.72728084702248,20.157148763022313,22.630954054374474,23.256490868524562,25.7160336759372,22.026586117484293,25.191563912539728,21.01111727629087,21.828555355052167,26.24926263044469,28.636593559781844,28.077159792116564,23.226269735260693,24.65738001162397,26.827534224856805,22.96856675505822,20.233906635213852,24.288847202973553,27.097162670184662,28.728882906881896,29.534312640932644,29.63484951115135],[16.960997743211248,15.769154667358713,16.912873432131452,11.611360341511759,15.183926069319703,13.890885544640883,14.614347418254376,18.49166436301471,16.314733194953032,16.877411125964908,19.195375783169393,22.454224087115627,22.04534023117575,19.243347852721016,24.31247063454647,26.185333194206105,24.244363327051442,28.231950407258534,29.819854868922793,32.64929951805811,35.586731804177354,39.55188795047805,39.41065830521331,38.55253713608917,35.48340996659781,31.84015300667605,30.667184505109375,27.159675226260905,28.480015139757015,28.69072836886299,31.30642524105039,31.53458786665569,34.953090172312066,38.30295119436117,36.137536160343195,33.977519431917614,33.613414955456804,33.61792643206758,33.25713868311274,38.90776446773352,35.72604508231381,36.29261165491621,40.71089640798677,39.96568039586239,41.871786868915144,40.916085688968636,44.86279137455924,43.957559259879666,39.489134635645726,43.05494809551027,45.6969105329342,45.07079704983737,47.123360139632034,42.59368187615391,47.61757698338961,50.201802474324175,46.145807991481306,45.14750488338985,49.921300312493976,50.20874172916894,45.5536901027111,46.782175450792494,44.86516879586452,46.179739130056866,43.95408245905514,40.48680141654226,37.16656325968336,34.441474911660414,31.24700546731923,29.36709561083481,28.033948513696156,30.146926246407737,32.57396047489175,35.854923084453254,35.70665296258742,42.23121762166218,40.96259574796854,43.95428289713645,42.938910639134555,44.09172962224815,42.68075291537135,42.018385636365586,40.291948680726165,40.81965699466012,37.47391212374033,36.28919703260806,37.80682097469665,38.85903669596484,37.88798482429208,41.06500923105681,38.34537271446253,40.86617857437942,37.5613296316299,35.840274807109715,31.144872031887434,31.35074155401638,27.01258887744897,30.2944116958719,28.111815158636773,30.4217666883993,31.81508509963848,31.651196758138493,32.92885519434218,31.68187275768633,34.596328930878364,30.374360130484824,33.35067438875554,32.21596342291381,28.496413622705084,28.329084419057928,23.572558752307465,23.098710071910283,19.394036409122346,19.329742266635826,18.984071426819987,18.747671019675906,21.8980089419257,22.16819042604592,26.27668648612597,24.660988339133365,21.45528828842869,18.716862374236268,16.11795474605342,14.837161827489856,13.696264873274094,16.688801723848563,17.469826470332055,20.990485122029305,24.152048068505955,28.665521587159745,28.335819272496074,32.89784597778346,33.08323441544755,33.91655846929486,29.58859405039748,25.4287715679954,23.4147381107158,21.465290978441935,19.510289737473833,22.37097239223798,23.335631780635136,28.048280643203658,27.283219965288637,25.363022318300846,28.664661602251112,27.274456614677643,24.31157462737365,23.928259268405714,24.102301900922363,21.466788839542772,23.645180681774594,22.852027079883445,27.329797850406848,26.879656145001928,27.843863253253332,28.432731831984437,26.172476992907377,27.295842201834986,27.324262730148376,27.59970887455406,26.80239275640916,29.225613805035326,27.38631987986793,31.94812432712156,32.02501615200711,29.372549894824605,31.874268795991767,33.01482412375566,30.43394620316144,26.957138176664152,27.834677974107276,26.15260908293516,29.966497414005286,31.69332669141637,32.64380392993987,33.7380661809421,31.94988278187067,37.30573922029729,36.76028312924054,37.80093876981082,36.66005388680429,32.754728156079636,36.86682776993164,39.00906548277843,36.11050386325638,38.67905416745751,37.11614104650561,41.762092880105996,40.06076613332507,40.875996931318944,40.86708692050822,38.10822693791903,37.36182015177201,35.21214958332648,35.90614545758009,36.30453168206146,31.622447349162726,33.28095479085951,30.8408546382045,29.875755735768838,32.43176459915038,30.998958058899806,27.127324013252863,27.967574694254075,30.578137803484722,26.44996145095191,23.182105445307847,27.459262633523505,29.218131543171793,23.13605680307678,24.122240627747612,27.26749281179631,24.48455687882924,21.225453139870616,25.255441396726127,24.90807136323394,30.303787191763202,30.068954585878632,30.572332048244498,33.67052510108781,38.19752115013362,41.0047370731318,43.594794321580466,44.88445609256838,42.70226218160813,44.75311043734773,42.08938520942499,46.10948161839428,45.19317660178685,39.06925452182825,41.70287045818197,45.10398972194359,41.047712568614955,38.720084642861394,41.75960900068937,41.843760557826236,37.5892812327136,36.35032204222863,33.61091314368632,35.68822257942088,38.66348789176724,37.91149517741002,39.80124326307046,42.156042560444206,39.317629883428474,35.829179196519725,37.76706526746711,37.86890416095121,33.16897514670076,32.3357900388401,34.22598529677579,32.03704138510138,29.255671627630903,33.907797686872534,33.9934922913749,29.301124158842544,31.20393520684838,35.18674361620158,34.36425532330091,37.19038774549334,36.22338378326146,39.921816916571714,38.400171511797886,33.011608088580054,36.64564132290133,38.09131122753377,34.88467981508379,33.43711759360157,39.24148588621749,37.99158896459805,32.740302313569316,35.06411175455106,39.708453979141716,37.426247051495004,33.610868614168815,28.93286023746212,32.560811636391776,28.171433531919725,29.21354562485702,23.925271169301386,24.107374655659186,19.882078482973363,19.11045396951225,21.005558609516118,24.08006252565895,24.72597580964225,26.455299884768998,22.54430540183065,25.58618334791104,21.193828399399607,21.02147282405856,24.916971637701625,26.876566993979658,25.89860125898125,21.375025931558692,22.480516801857746,23.990530783944358,20.124717139761643,17.447981683142967,21.398501191319987,23.62968929507963,25.29961510103317,26.279176844769882,26.537361489396563],[17.943373608062448,16.456551722400306,16.63830244323911,11.600827962126681,13.61183996348651,11.426103493728544,10.997137831326299,14.638863510944656,12.088542268462483,12.180085171866967,14.591405414130277,17.96122885744722,17.314578786562198,14.583417006704785,19.689654661798798,21.470905058887464,19.632606144836377,23.741534228887613,25.701481969645236,28.377859072252836,31.53581327290608,35.482835549218805,35.585946305352316,35.01835682399786,31.759607902897013,28.05601853694683,26.654704613496715,22.93327472536235,23.95629778080046,24.005849878236823,26.655425001842115,26.800265704502536,30.24961415460387,33.59586898756255,31.416477051046307,29.333690354267993,28.947022329745025,29.173132525625405,29.01855798636776,34.79057919418164,31.86646688344757,32.19430595280976,36.634038042591015,36.17687344677,38.29556021315188,37.65415546107013,41.58282071862154,40.38773076192618,36.10721593904941,39.86557708265586,42.15035391160885,41.44217443971421,43.25220979111753,38.60107563171631,43.48730971017283,46.11884719488248,42.10082697057074,40.843411963414745,45.60422286299847,46.10665951897159,41.37551886399566,42.43973395996938,40.40407250329964,41.933955708139,39.78576074068672,36.15911886535755,32.9959443871107,30.071878957298217,27.146762009041204,25.106872175788602,24.044274940841184,26.420604460000494,28.482632110729092,31.777050459333715,31.309439207848317,37.815731403842136,36.46457049123716,39.35133683451133,38.32910057748681,39.56740374012318,38.08769931583339,37.58676152117201,35.81941814148926,36.577122524405524,33.28864774335831,31.859043283779002,33.33958703125317,34.21788383981323,33.30079301030361,36.373370221801345,33.72397780171436,36.34200641160858,33.02404914171955,31.247237260379006,26.53157066815782,26.909889980240433,22.55576776522539,25.67456770357544,23.53512961603789,26.100407423842327,27.203846805024313,27.319929753514142,28.412540891247726,27.526293178579618,30.668516324610675,26.69479884176475,30.035342062914598,29.274231327860033,25.82007153871139,25.14716709864025,20.50958743809088,19.44701827549335,15.408171612413861,15.331439197620847,14.504161308340866,14.673359328990758,17.735411831984507,18.57414216084709,22.548073677472924,20.453728240561027,17.435273946648508,14.41601662230564,12.335285553670536,10.723323582616365,9.439317559068273,13.227821031919131,14.551547926807089,17.927241425724162,21.3839814876764,25.529544468105236,25.965128561189914,30.409326904620066,30.466855438699668,30.771168813948904,26.721405867851765,22.345420510712966,21.259386982667564,18.783439473251416,16.767704568520358,19.109080881681248,20.551262359161786,25.084189751562953,23.754101854731566,21.677652591539953,24.771713406051667,22.98478217389757,20.108111306324666,19.480094165333036,19.79602743626089,17.0988751627816,19.66569443307695,18.815307985792042,23.52896951776942,23.442472868926703,23.88356686431102,24.213546610887825,21.7213982872513,23.035395530249897,22.785004425734115,23.45862897978351,22.78586935026785,24.924578998615562,23.576355309312035,27.993870442558908,28.566295673389963,26.518911170353864,29.170278815473477,30.812369495228765,28.4989117388297,24.78012293541248,25.319763731969033,23.136678565390508,26.497492819353784,27.88634660098947,28.523955225134163,29.51365117802795,27.463867124021622,32.870454778144214,32.466227213694886,33.65521154259763,32.79304467565089,29.010710261432195,33.43429053297969,35.75381280578099,32.83308704904178,35.114525530518065,33.35806013882155,38.14817902054301,36.86764171093619,37.79563068655952,38.10251339383548,35.159515575451344,34.79917336707416,32.75884418559858,33.60428063861404,34.3369277390061,29.76632923235404,31.504143721999142,29.46347020743562,27.992083759623725,31.03689401956979,29.22939234748508,25.348167499496025,27.02358519628461,29.605353450088113,25.31479079715052,22.81983092938001,27.267654438155184,28.627561119618896,22.92075191716025,24.540395338223547,27.66751946493925,24.613684630803956,22.05589173463447,26.52689371390696,26.12864438056242,31.30882408349916,31.37259153949224,31.23880511924174,34.29220669829778,38.66223876828391,41.449349050752645,43.762523825033306,44.653912508411395,42.16269936342783,43.827256159659846,40.75634705579154,44.83873175111278,44.38487555047356,38.15119083636647,40.35790220842977,44.11245585939452,40.343456890770746,37.65192883215901,40.46380212740756,41.1850843353408,37.10238183943645,35.14479269672488,32.568299918645195,33.818182947382695,36.882423755459094,36.29843694854214,37.75601114097195,40.21941890368268,36.96171578114523,33.784862283490355,36.123321011556406,35.8294041421737,31.00768078048827,30.82387464383264,32.761850693014964,30.494503007967378,28.14684948573873,33.06504922044993,33.14407463658049,28.66526977273692,31.000973941917827,34.98371005225179,34.19760069990447,36.64453090391277,35.258405540921686,39.11677533951012,38.16320605264895,32.67339714350509,35.970417997054945,37.9416288437358,34.98681570214977,33.12855903098517,39.040960112284274,38.40813897347181,33.11143047829565,34.952891769726456,39.930548931316096,38.18366102777424,34.372929470785095,29.847586880730677,33.945080646220916,29.892219377993506,30.94577909895812,25.5778209048685,24.98046545508606,20.63803303225555,20.635322159743424,21.973180563441574,25.161227723100374,25.10095659543409,26.31762217912623,21.667072898863918,24.026351502789318,19.190054108125246,19.421424110943452,22.611652975964397,24.874084262950145,23.263020195016253,19.049187472916763,21.059447556479103,22.22196072879787,17.631402337173096,16.255499858832604,20.67929687085048,22.79629882210538,24.700491162526326,25.961587860075724,26.55827066976898],[13.885553293355105,12.839019759594542,13.760905861718484,9.472965284475826,12.66643613898962,8.928950035932855,9.86820890097156,13.098607017633581,10.996707995261854,12.840845917331059,15.119386901521812,17.632234236524106,18.186210982215258,16.236169579566656,21.046119874439572,22.719286542228797,21.67733826205481,26.094957220962787,28.740085084229914,31.096867890777222,34.58344690020247,38.41170266282086,38.81934784516631,38.493214519415304,35.01803495907914,31.386282334022358,29.5805842866335,25.640563301271197,26.107203746501064,25.41737113285613,28.187285807260004,27.57799667319785,30.84934188926546,34.66148071658541,32.61543756746873,31.06133657038463,30.153819940565864,31.20458308162491,31.222333882364993,36.83115576076306,34.49261745323636,34.91600381252768,39.28594891292534,39.08385992840181,41.510055449268606,41.03926875724828,44.90221907361232,43.39203308534667,39.138493923024164,42.78604485916507,44.8239563802496,43.81456252850737,45.619024689307444,40.85945047563486,45.489871352766365,48.46607945738556,44.66667175241924,43.03208505730578,47.79776654462827,48.718784579901275,44.03447856836118,44.91904740880578,42.66325274269504,44.633037977894894,42.6062110521491,38.71180598959564,35.87304915326422,32.60079280145359,30.086663572412725,27.618437343385636,26.94032970404396,29.336027274777607,31.016737401148557,34.570182609616396,33.577230510661046,39.993326243787635,38.64523947215313,41.14306198893379,40.13796651026528,41.52474849224649,39.59469248367289,39.17461479634955,36.84355373321865,37.794711536434214,34.88167989714675,33.32001508404875,35.21388837234709,35.49552424682212,35.19101812833976,37.787197978241295,35.41762686976533,38.071083211927814,34.52455054350851,32.313013083958346,27.570235053050965,27.74932262946069,23.412727597508756,25.969503262086914,23.364699946811342,25.015835806506335,27.00949541153334,26.453413555369465,28.410039935078046,26.975712924246974,30.541183212912518,26.26594163853447,29.2506764739355,28.665189043312115,24.82906970225776,24.057169813984515,19.36722819910091,19.33604987501171,15.294591265678312,16.45295577750123,16.33947654215616,17.35255899308241,20.62187068205091,22.031833019334275,26.065645074774324,23.440961608297116,20.746252218910833,17.40476863353331,15.886544394501712,13.578832266256978,11.054420250593457,14.65754027924982,14.094140700100734,18.12536205534016,21.145489183668868,25.500120868250107,25.975706756693526,30.262821720475134,30.977997182240273,31.05974583670436,27.54266278481564,23.3189065056837,22.11545664270959,20.502654624676182,19.263479442871827,21.667470583219195,23.942128637357097,28.488648731520296,26.98677865299487,24.539418323978676,27.36547529310359,25.15431697127168,22.25031395358876,20.830299717153217,20.38490514629739,17.050861103281548,18.622935506605522,17.266838041953893,21.53604069854953,20.823273669643104,22.055922933065894,22.8847406947921,21.071559261704007,22.247678323434585,22.92138129650697,23.45634478511689,23.796089578877453,26.420173837822293,25.703538861531023,29.919768366278994,30.517542879065765,28.92775010317262,31.057824048995894,32.96631385668908,30.284009003094287,26.815454184750315,26.941558906778255,24.96292020235949,27.999968605146588,29.155031306521277,29.614167095178328,30.04728406286283,28.171333813533792,33.277863708156346,33.424895603960834,34.30035453784523,33.949243266010406,29.53863958738505,34.17626937329943,36.749136640592624,34.11780063038765,36.86423922550776,35.43813992760275,40.28238473230208,39.48021907836628,39.98857392572617,40.19727631011895,36.97713273092231,36.3206428387153,33.946649505926636,34.414919730981694,34.75653909147365,29.99155130923793,31.16750025051199,28.69561668050359,26.900259462110224,29.418630323950733,27.256436606414116,23.61858346968173,25.210853746240726,27.25354137021137,22.730143028689625,20.7133003655035,24.76015068644507,25.514680001332845,19.790638179653556,21.544426143440557,24.318605578848903,20.915621139613293,18.600719953310705,23.219880360083263,23.28496463696429,28.046960379256284,29.041559453980227,28.71175867198592,31.41769849042532,36.03950517307959,38.43350550491905,41.18660224785516,41.97629919872381,39.71004188546019,41.481981578537706,38.56904636873847,42.90289020226967,42.369990181920045,36.32899922103046,38.74969004716368,42.66954285838652,38.97001003140317,36.470444801524955,39.61394341348413,40.35525399739794,36.19410123866884,34.7247586763725,31.530030044631076,32.78416084244708,35.54267213627283,34.39994080929368,35.773494740708,37.802761842902385,34.72431987429005,31.67206919528396,33.41836996283969,33.01085591807848,28.388405933897246,27.984111047112936,29.47633632797538,27.050991509499745,24.76840388687284,29.59973627027824,29.377503303879525,24.765597057383548,27.31169899147819,31.304312214532207,30.81772029421486,33.4466391721066,32.373846391578034,36.37694409340784,35.20770876374774,29.928065816526225,33.58908660837726,35.522235332338624,32.546773338451914,31.169712012368326,37.13175857217802,36.43343835543935,31.36709769183787,33.59448152621696,38.46860510724195,36.7064542701065,33.06525746084315,28.507174609009695,32.82340412392696,28.84646826777782,29.159302037720387,23.901670591415815,22.951060672270433,18.29065215640449,19.074228924967507,20.765994096485482,24.31899470065158,24.41640612663884,25.06735490465702,20.640039854089654,23.075344503208303,18.4900665252736,17.555355879617757,20.499798927528524,22.20107325397893,20.64103832036489,16.604737903698066,17.89301906091162,18.703900607047313,14.534685633957023,12.665330238336123,16.815581476905507,18.63557430300758,20.524720302228406,21.883349291928216,22.623526895375697],[15.829179674634513,15.373869266015088,16.1858956151092,13.09210033878038,15.212519355453068,9.617977144880625,9.559585256559812,11.059350918674982,7.730980466023467,10.230365290998748,11.558663736986764,13.604294889363945,15.405230702840687,13.607613510642468,17.788606191220847,19.671896809292868,19.623726133990605,23.98459917034522,27.284468235080727,29.59584241493919,33.30974847831861,37.18589422448341,37.94290538396305,38.1078645251512,34.547511694893444,30.779611409508224,28.87551495045303,24.66244705900109,24.30501188039655,23.02720469852803,25.067349487504675,24.34487841125541,27.171802784680473,31.219180419077023,29.62324699076286,28.57109046585154,27.717044477833273,29.597971509489142,30.18497256024877,35.95026721931701,34.11320581823518,33.93100319090039,38.28702288072761,38.62833685512668,41.24848969854357,41.2501263979957,45.05447798369842,43.23362015653251,39.368735111083645,43.292638658956186,44.795996732326984,43.70469696672122,45.050974255777035,40.14457729122259,44.428835896370714,47.415350995304834,43.68639977144805,41.544978259448015,46.191598071342234,47.49448660920831,42.61622432422474,42.97017602651125,40.354695432752514,42.60995586262847,40.96132854701229,36.889129054009516,34.04104428197174,30.388744800972308,28.14046548621738,25.11197779012163,24.8077149133374,27.070742683810867,28.33493756778023,32.24015469653064,30.829001216194214,37.10267903802862,36.10350948976522,38.19831357941894,37.534187560836564,39.35782939559328,37.32812094587242,37.46879514019605,34.92827352016279,36.504150435824315,33.85847803476212,31.712421676997145,33.4592486719453,33.08338655119791,32.85327674747876,34.74565667265978,32.37058851228208,34.76649399712761,31.018909741377374,28.54591921964522,23.880744816101842,23.693584732897452,19.458303383724612,21.979810010492724,19.37545785039277,20.849308784329143,23.513103761816623,23.42743601473194,25.80251609356755,24.96993795739939,29.35619200682584,25.45056494125964,28.74691777463266,28.887913949772788,25.293157233861002,23.684967404305908,19.34357014431331,19.060209531818142,14.576421831672773,16.41425390999862,15.454864902302312,17.407262158163572,20.076354191628877,22.315671884192597,25.530883634985504,22.14306383012349,19.85045358282009,16.400616090953115,16.32647898565102,14.007619798946639,11.356698313549416,15.786871167172094,15.161543318468423,19.04711695407392,22.088130641764838,25.867870771322035,27.356367335556875,31.311165783489216,32.13370364032267,31.421032050243333,28.585215307703347,24.275526088184606,24.175878632876355,22.26490017974726,21.099562994124845,22.74351533006894,25.371180314776517,29.49525933107911,27.260299468861284,24.794086245031462,27.164450670358537,24.223630008789737,21.680461959546438,19.56831544507598,19.126693746306806,15.22403340742299,16.74138616459556,14.20009984708606,18.417845482502727,16.951437978268142,17.885508947857243,19.248802135364134,17.789663917250763,19.69787778789825,20.461741367164542,22.065819524591927,23.259597294887786,25.34523233507038,25.743441027817738,29.534426871062657,30.94226748008704,30.238441847028245,32.455733017838476,34.90021275604133,32.50983667713997,28.912808111197606,28.625615755872126,26.15377532387176,28.40211498754026,28.917315536161176,28.714665882637068,28.651900093485747,26.23374931772753,31.205350382695883,32.00607655341105,33.05442234068201,33.4560177260939,29.106918162215194,34.24238768758319,37.11819871469131,34.58994499000305,36.95509578090371,35.27551084592073,40.263721907996825,40.098127477500356,40.764401059762214,41.366909605858446,37.94089093428778,37.71893904162856,35.44153689161782,35.96905366753762,36.54045158592956,31.920826639997017,32.923178955725646,30.715600834237456,28.247126083020493,30.910632585536142,28.113604595857325,24.771283463097717,27.160337587624145,28.71603664293757,23.974566988847346,23.179063088727172,26.93049473966075,26.73639619551237,21.608854337430685,23.93255269256006,26.242285118057538,22.34408347623564,20.97067359477652,25.806347784088835,26.26266105558932,30.375759857254046,32.29285290813551,31.42785020647534,33.76452112506883,38.388479060866494,40.38730796976604,43.25883012652017,43.60895767147391,41.2704038248995,42.71652333875841,39.5313264654919,44.068923878921645,43.96502413843793,38.037065058753996,40.12177499312912,44.45769914079656,41.121539116761326,38.42219735829223,41.47003039870138,42.81237852952122,38.820674455021404,36.94954880893706,33.6747143879074,34.037900951190025,36.65738965314649,35.33776597218244,36.08185545878954,37.8266005802722,34.377083810575165,31.945964866049927,33.61687065829156,32.526942731558485,28.05569964872245,28.339374542287434,29.316854639850977,26.61241908927457,25.106402759946295,30.00584141710481,29.341543086056053,24.91862339044774,28.188433858024794,32.086427697383705,32.02000429218729,34.41231754632773,33.23550999841486,37.47461733699051,36.690250521004714,31.620228804103107,35.17847301617241,37.534638179437735,34.8132081881052,33.45434060756933,39.43330100952857,39.19729776881519,34.3226547595331,36.3500858201707,41.355558620729035,39.99283939162293,36.49155799380944,32.09220507742826,36.70925172932733,32.98810909122014,32.959444361695674,27.82516588349677,26.288681910387087,21.54424008476628,23.12310482229584,24.62744959990603,28.290195542933507,28.017770530213987,28.046398328507195,23.268880639783507,24.986028557227602,20.262998138505036,19.11620107952217,20.755436840194417,22.24691161789578,19.723275281214747,16.69877152378842,18.416983040190818,18.092820031744683,13.468546565790357,13.393008497878549,17.34610751857613,18.200896473783935,20.176755573913727,21.829280088210506,22.885556496209947],[12.752512549356295,12.590380312969735,13.692757090293744,11.79141441974089,14.283355386478783,7.942459228423476,9.25538681439746,10.24118109034015,8.369434233856055,12.194555094622833,13.676608268631995,14.69237522169367,17.058743031128643,16.24666478963031,20.117774792509607,21.605404204509245,21.915522805187376,26.46659698635267,30.114981187798186,32.016174461309426,35.928665587425705,39.584461745513124,40.53071621995744,40.767263839500714,37.0328205098563,33.45658368111474,31.18528603324426,26.957340266199648,26.388433254435103,24.637554127609373,27.140851104306076,25.630428735504985,28.42085960848719,32.75543670418817,31.090436128880224,30.395883866687438,28.974457902434708,31.320518576577832,31.852092319266568,37.29873390395807,35.91009046896491,36.04589870246182,40.27203832762386,40.68102475055129,43.535709806228006,43.56701292548925,47.29121087568148,45.24466346581188,41.32592692377361,45.02673781377027,46.41610798098418,45.05877570966833,46.52218573645025,41.601884507317536,45.69539501370085,49.0039073669453,45.5126569948491,43.18693783671213,47.83709007651101,49.429584091225514,44.72918255452045,45.11979753072722,42.46639197123464,45.06947519829935,43.38550614478281,39.14274108840589,36.742189142626415,32.955199331374104,31.139441882786592,28.038728296553977,28.02711345740242,30.431098420933612,31.360376481919324,35.22427067578222,33.41244275004222,39.53284120400083,38.32026344339381,40.15084540575331,39.32320866353087,41.06996757929531,38.6297653121248,38.62760655822831,35.63517924518279,37.16627691234245,34.84567511255796,32.806556452208234,34.99827769198335,34.28001345272598,34.68248918478604,36.371615496688904,34.38157942739977,36.95704754277599,33.155863748108715,30.390189810796702,25.792286853476,25.685195478218365,21.60004019676061,23.264931371031608,20.225594965302466,20.697361127225264,23.88999665681653,22.89430296155735,25.93055477316471,24.373544650474877,28.837426511353797,24.662424335963642,27.490324000965032,27.670006098465947,23.805008096541155,22.261394186634853,17.99602529324821,18.716029619138165,14.629150717180721,17.298898647164002,17.29702016940935,19.559822818802385,22.527749467711857,24.934673143243472,28.492589799892347,24.980958865446045,22.93589820350057,19.356196565904472,19.160943616885405,16.378078423672598,13.055556628595328,16.732054372631822,14.621891784269637,18.798516281053864,21.316644448951507,25.217971187938993,26.57571282276511,30.338079016744558,31.692185942240133,30.91742892117611,28.50160906387156,24.456570208930614,24.129554649183827,23.01310501347645,22.498380951278495,24.30185308050263,27.52062267858505,31.710294918151032,29.5584750234978,26.791679047223212,28.99616160541768,25.97102612056861,23.36445715106741,20.823610252518293,19.667663927214566,15.556805784598287,15.949436072896624,13.3474440435609,16.891087671091412,15.118939084725218,17.02331193408944,18.6118769901356,17.814569642774224,19.211361062421147,20.872864760737293,21.933224918710394,23.81913274335188,26.450436544160755,27.09898198220445,30.73229569711805,31.92432694798502,31.45570837465432,33.161443053753786,35.723390234744215,33.01627062509648,29.705969900732615,29.130904187226506,26.969496196642613,29.037279128556694,29.476073518979646,29.286597796837178,28.83531810488763,26.82564090485783,31.423088055754093,32.53449564910654,33.209423902743865,33.88253581449355,29.0252036442613,34.146941729185436,37.145968235781496,34.89564420673204,37.735262316948585,36.45634877702044,41.395869784726194,41.53001363116245,41.75774568017598,42.18655343857212,38.58299670762789,38.02844769959455,35.480014576667784,35.669836379893155,35.88075714283569,31.16861205064605,31.702784496020783,29.18342720680034,26.530377426884453,28.70964579484038,25.700250663974263,22.630400087227496,24.898705679805598,25.99461531807107,21.176049949019205,20.869002116581015,24.19228196916117,23.499093983725015,18.55430593590372,21.009523937023342,22.980181529341053,18.88643342571791,17.92608876184595,22.783857053128305,23.53627669844984,27.197285609836857,29.77344187919888,28.677549558144175,30.714748410083416,35.424932549724225,37.13567281901993,40.24687686478629,40.49623113219384,38.32064449140707,39.82700774810455,36.7904159319097,41.47008499099587,41.30024626880643,35.571219324748796,37.80022342057987,42.21021238934023,38.958523903005045,36.43658690807382,39.708122658524715,41.04460898182671,37.047953830867094,35.57648791811679,31.872423798170004,32.25887136212142,34.60095010395329,32.86441604879346,33.57651464309939,34.98975418774677,31.751677942614823,29.38799146848009,30.57999646740509,29.468820720738446,25.189153381768104,25.252888911152976,25.910763491311517,23.130313797426105,21.670045293591155,26.464530522641702,25.626804007294567,21.165036482728386,24.566337333101178,28.430324102552035,28.55370966589411,31.015536375996245,30.052953494687255,34.35363831359937,33.45098991850465,28.587478254900205,32.340762237421394,34.66736191444008,31.990705598973268,30.976801271988542,36.91091870565824,36.679789152198545,32.05085229361012,34.2894566561819,39.168539904049375,37.86675132742144,34.549748359764614,30.239609264230563,34.986772504933946,31.45940412933947,30.89737126191835,25.979241193159787,24.093964084442383,19.310764917437744,21.54640419416043,23.135454873848644,26.943283933094097,26.710418883553828,26.255028097223775,21.76967795178564,23.46239488120802,19.14040335940168,17.092978712881617,18.446837613755623,19.41339103107262,17.06727670476705,14.26873635966701,15.287569123340488,14.654259597417742,10.570725528472305,10.177761705281188,13.745034984218202,14.36629531233988,16.368736844516285,18.164732611386214,19.46418019104052],[14.516930416693413,15.325153102761938,17.112557242262707,15.777464289610856,18.442174415173785,11.86943624512464,12.91913363015877,12.727230763175472,10.309857497594107,14.193252898890941,14.594582564134702,15.005900280459098,18.594925302201943,17.698322827368678,20.82832911728084,22.602819135624774,23.68869121598216,27.98294062037623,31.886507507095384,33.91945014065679,37.85431147393758,41.60053420901282,42.69341905920877,43.19860896123309,39.524999965737834,35.81804836846153,33.671071358233505,29.34700928447962,28.29193523823368,26.21736568259993,27.825718936204197,26.400368140385716,28.588755246601067,33.07882325864618,31.96347879582332,31.70424228240363,30.45259069955274,33.36261386755791,34.29592219443447,39.833654946247385,38.68405460675099,38.36155719873154,42.57280855081648,43.303234995888815,46.177329543829636,46.45059786678663,50.15601445041339,48.02195143482382,44.34570941315814,48.224899081720736,49.3544295727339,47.998684214355606,49.16423498823182,44.18886189186015,48.044199482698374,51.290274260981576,47.82449995827261,45.19237635812693,49.712778747657424,51.516239961233275,46.65734529413522,46.60987967020401,43.67832695510626,46.3718438786399,45.037499802391245,40.763480397584,38.1848882380305,34.20173056162691,32.39333195614133,28.898915037890816,29.002101538466047,31.030562119070993,31.852796089000723,36.04891949386645,34.11596161413376,40.05733067617561,39.325197958996576,40.811741453747615,40.38890395258743,42.5330202086473,40.101028552721,40.57821011037165,37.47055375081952,39.461591510489164,37.34585582760989,34.910590788656,36.908382155815055,35.69080403534797,36.052192785364895,37.070040769906285,35.00154189399443,37.156859537514585,33.19503642470877,30.25608277626019,25.87713195173802,25.180145498015353,21.37209254597256,23.15663120060144,20.251465010627058,20.229862413788872,24.39103107831451,23.768175024181346,27.295536783679882,26.17940128639584,31.20466579404976,27.308566697109168,30.1467014662586,30.75787580244303,27.001309353517744,25.06348596771636,21.15221294073252,21.92070281158477,17.786041086793613,20.67878767629116,20.11507059322425,22.676264886213158,25.19339408127804,27.875393404550334,30.801568445124857,26.968688757888877,25.072509637170256,21.6196528302148,22.12999979836637,19.621196956595163,16.557592760883743,20.556454763815236,18.504407017086674,22.550516598475365,24.95874526586347,28.55713700690511,30.303792500223526,33.849050456892016,35.339301214458345,34.19759542215404,32.17275058758775,28.151471148528035,28.185459946601767,26.977556095925642,26.384982695163863,27.91176675171564,31.04924813975794,35.04967974951887,32.581145255566334,29.93456662458389,31.934210656983105,28.559756693388017,26.225925091045873,23.403436557912475,22.3194811872389,17.98371425319208,18.129139548599852,14.53274895304709,17.43738918249419,14.221465438807098,16.328149250212437,18.845697362563016,18.741855388450166,20.724288394870346,22.55647040681221,24.3757295443567,26.804342452074042,29.03260639774739,30.277775849195223,33.6595778519538,35.28497944255605,35.165710754368455,36.946795550958534,39.67107888984571,37.07584975199918,33.724832042489076,33.047382835540645,30.711103332570783,32.4346071515645,32.538197171410175,31.953122325893883,31.151992762725502,28.792046376457982,33.16539486679756,34.794116562970345,35.56264828555676,36.74126733393951,31.949072228207744,37.291113098238554,40.43625389403498,38.272360815089854,40.89068189236287,39.45359000243774,44.441014409907176,44.861909108928664,45.218505776563454,45.83167380360022,42.166285401935575,41.795901171523646,39.28479006741918,39.46250001511298,39.69531842493035,35.043697368656865,35.398595193115575,32.87453975168441,29.96669741129914,31.926552457651823,28.597704252669818,25.868308624739303,28.259735794277685,28.877227407324398,24.031450610205038,24.32137109107443,27.200190936641956,25.807719621985466,21.268891515266297,23.76498980959501,25.19925877106083,20.811848337015586,20.31789312249201,25.004522574683207,26.25917007546479,29.325853191729212,32.729671779072554,31.552282426697293,33.192387611792554,38.024941129967104,39.27039030377249,42.761830395150874,42.83502388457486,40.85574975216968,42.311690681534785,39.331639895684496,44.16320309691475,44.09259260669705,38.6041903102663,40.799998039810845,45.363268946536635,42.285936093500816,39.83580125361091,43.167809225095134,44.65149811978319,40.703201941239946,39.332407431435676,35.45297448905981,35.55817218724944,37.684852262083275,35.643114873790694,36.01548131411378,36.99066650668233,33.73775516654209,31.837798707857445,32.568855003815735,31.02772585056389,27.126880614367792,27.383295053204268,27.353093430542266,24.351819755161188,23.45473492429091,27.978200790807286,26.57860526751106,22.206905697841925,26.051220900071584,29.75175885680605,30.376761607471437,32.88910748380613,32.2053732533697,36.60268203428137,35.64968534337295,31.15849145867759,35.059435606192125,37.407085894944096,34.8178737034678,34.16233501857054,40.00962605643683,39.79472948854295,35.41498534129285,37.806172911584554,42.56853436372862,41.28732641076549,38.113285110102,33.84882998544137,38.577178718954656,35.069904463170495,34.133778317912544,29.39599591827299,27.475670237440838,22.687929033478575,25.146601157397136,26.936056802431548,30.794500145338,30.672373829455506,30.00278533540718,25.67486659795388,27.196471192702266,23.02953373041945,20.65838758590837,21.32859720103368,21.793136403088138,19.062376689725827,17.19248193666007,17.802357250889596,16.214824134008495,12.743203821967581,12.981846903904078,15.592648057433193,14.992396313233682,16.770300214014952,18.581139055584057,19.92213076082697],[12.141468334098713,13.382480493040708,15.379236152247618,15.463712955450385,18.20680425183867,11.684761557963967,13.698524450808623,13.104118991649786,12.222275788838296,16.721766263023905,17.444216237451197,17.1075760529497,20.81174005978577,20.7318337887051,23.710052318897052,25.050422040873624,26.28865322318349,30.746130262560396,34.88909596497408,36.51780685632761,40.61299270199438,44.1226699244271,45.371021475493656,45.90261767974149,42.06739125301601,38.56941630851148,36.080053492188775,31.78755475374659,30.63217983671665,28.209939904209342,30.366170250700005,28.205097446715353,30.405070903177265,35.08847453175626,33.83705866777911,33.86044996915018,32.05823397384609,35.29695282415264,36.11373807874367,41.28648809437485,40.54644733795432,40.587937689242224,44.654326867768035,45.40305043346315,48.48956185922507,48.75963557617206,52.37844031072599,50.044390804175656,46.298528696704786,49.926196536866534,50.96698707732951,49.35703700571096,50.664861025456815,45.71117634258631,49.38274479755698,52.94216463731299,49.72483768521135,46.963467493059305,51.48043915685268,53.53761176945205,48.89554248681228,48.945698011213295,46.03169622162308,49.04098721654886,47.62533268993033,43.20936509244104,41.09756185827456,37.041775533231046,35.63847429474336,32.172530713517205,32.51221207229102,34.73487738381519,35.26943664877038,39.34303423389977,37.06712480860755,42.854112422550386,41.83900602253256,43.108535083259056,42.465721280779626,44.461948456793735,41.6387802818472,41.908632420832966,38.394385531562385,40.26667974840865,38.47358084114964,36.21711588590211,38.651180425489386,37.17633903121613,38.15921930643759,39.06681836381231,37.41061720519645,39.79147028637779,35.84206361473378,32.683833372278386,28.40300533359268,27.904316256813296,24.266118126145766,25.17506181395727,21.91750501733127,20.91565669252618,25.37808184772357,23.775790883257333,27.853828145820447,25.97601583978823,30.919926918665634,26.821822041978667,29.087848445109504,29.71269536712282,25.771928685258715,23.973191763078347,20.313552297068682,22.041267857378333,18.47972951931039,21.93254386760896,22.232997483795497,24.94985615485145,27.75609370306503,30.51706515635392,33.830636538991975,29.961801314834883,28.24956709419431,24.680810941010087,24.962635279979587,22.07842383207519,18.558735901174206,21.82217512350142,18.6015926380004,22.711304613175844,24.529837563761575,28.146293573812628,29.70481349140242,32.980642581644496,34.98012496956995,33.81385143479301,32.224919801661024,28.54199595957164,28.345393387854735,27.897272545018833,27.890347787275115,29.55887179000594,33.19171732770164,37.25029196658329,34.90957199151707,31.99994003942501,33.86095070446368,30.49362548516238,28.097698758708383,24.99272023959827,23.292331955423187,18.97157590414254,18.05154241464757,14.697258018620465,16.623332231976978,13.23810128427675,16.42977390367215,18.99607687624221,19.541897812002524,20.856417965094966,23.500808094762277,24.658558252956045,27.63761353776962,30.37435819076232,31.76143782781202,34.98394374904668,36.34104061089222,36.411011984944025,37.68309834331848,40.4802528904496,37.603078708024725,34.56974831154705,33.63689598354172,31.63958519062144,33.194862094095946,33.25382732794944,32.729153246791135,31.591619657593284,29.718790802286367,33.660419041611334,35.525713152976614,35.89627991567731,37.28612043134011,32.056474402545994,37.28026259797046,40.4993851261448,38.63331104318624,41.71133650392351,40.694685117437004,45.58986851306028,46.27216188196715,46.18567987361826,46.607688821379924,42.802633764700666,42.092758931823646,39.33873476336677,39.17789996833051,39.04214597690608,34.370071077716155,34.24127679724663,31.445242126783,28.408527082173478,29.79030590539204,26.295964294345946,23.972771054601857,26.164479743205348,26.220654210375564,21.437081825121513,22.33270697141208,24.59560932876561,22.588027081851923,18.497174618705674,21.06799194586647,21.99188527779399,17.463220296033064,17.61699272149395,22.140570320429198,23.73419593162928,26.137130127968888,30.27883982281979,28.837941567677447,30.080415992543767,34.934144684313026,35.81717625945894,39.54799313123223,39.494581195442045,37.72010243308087,39.222825894523424,36.44490839716347,41.383434720774716,41.24337652763736,36.0485666309963,38.371039169484895,42.96303634797243,40.02000321718904,37.7933126463164,41.31694938200119,42.78225293176887,38.88427368989515,37.94886438108363,33.684473597415256,33.80615107549616,35.59351644458614,33.117925664511056,33.444012012347905,34.01401465160252,31.0602247380478,29.280291953852387,29.419522566719944,27.86429693930536,24.290071365927034,24.28240396620572,23.80997609533701,20.748479546032428,19.989447042539897,24.26252065354825,22.615528240532658,18.271679736035892,22.278551268260998,25.868179193676728,26.752804226827507,29.306369727368004,28.89799176057011,33.3096727094623,32.23815531394867,28.079979843895675,32.13523591832491,34.42230872460232,31.935558956951926,31.684582402667026,37.382668427162464,37.19190062206216,33.16108145371504,35.72950850912688,40.28841670972068,39.106093206002775,36.18194759457129,32.1022457947015,36.89280281577619,33.66934717070653,32.181101807786256,27.7944354669092,25.526387303405503,20.890401879203747,23.974082988337464,25.76780161268722,29.66102403676401,29.562952148175505,28.391874301613015,24.504369694034107,25.93228279757641,22.336252160602616,19.15702391490107,19.42191623172687,19.203390193247273,16.80094310433249,15.422777555985327,15.083223285816212,13.009090243932365,10.756237021252492,10.716890325480811,12.281378634813018,11.049080423108137,12.808516708688654,14.799443900538387,16.499787788314258],[17.589318468956908,19.330460643860658,21.43227317756197,21.575158547805792,24.033910454348515,17.275990901941245,18.46788574843725,16.805118391937484,15.187241918032619,19.315924404010183,18.814294523554196,17.726755071101508,22.615274964228078,22.51312012140514,24.40055493474749,25.982188130125504,28.171494276417853,32.18295261163654,36.620468669936656,38.335078402627,42.422338100649284,45.98538418949372,47.45364629215646,48.38493664368032,44.64647576517515,41.02761515765228,38.699749818678335,34.33951794757101,32.54531848936542,29.75380738830012,30.693478425086276,28.68002224988901,29.990358645663193,34.74875858000628,34.271683053595794,34.890294446911,33.36241363751797,37.29186063423639,38.65466530967273,43.906710824808854,43.51061097826696,42.89678229219301,46.892500462065044,48.1085933814117,51.216331781836196,51.86259326747368,55.42155670953679,52.94886217513984,49.60109637155675,53.482657803758826,54.10800866331529,52.52026133757217,53.359293173476686,48.36010276813604,51.660807685097836,55.08505094013745,51.92779494371049,48.748540867584026,53.0334141974748,55.38145424996585,50.55992928321755,49.990443156163735,46.72237729917524,49.85576640307386,48.93811985740029,44.51691539703734,42.25104165502268,37.984368284345166,36.70748283487274,32.80886053545063,33.36840365162783,35.11891403463245,35.38178450060209,39.77046226780996,37.2974798903483,42.70111993987089,42.320863123207616,43.0777361469452,42.990117847499896,45.506081221594066,42.74043442550456,43.69247631321277,40.11012952348827,42.61994602881272,41.10552140525404,38.308492170555816,40.40787154172554,38.27640935043853,39.179202546521495,39.14511627324321,37.44453323198441,39.23375884675438,35.16379341784301,31.835242193568043,28.0135885690129,26.79613691034464,23.74283624061596,24.628920433896386,21.728738078727165,20.119202889216336,25.636983450814174,24.74176581243963,29.228384436039534,28.171541927298193,33.76712429620598,30.233822510588496,32.65030987493357,33.89875927924037,30.30723983259111,27.921723413780047,24.79787968741937,26.178654820872953,22.516268640701934,26.03699782399581,25.539062717265796,28.597511545132402,30.76933338847628,33.89907640317811,36.34144412872337,32.084360716222726,30.66313680976521,27.317487139583992,28.51215487948386,25.9627843690578,22.79905325764414,26.53071151798373,23.757556897113535,27.5776999259002,29.41935722903444,32.498302306349935,34.71547001236124,37.69956639826613,39.69555830024636,37.971334852561256,36.87430037653758,33.17359151457763,33.64397007798547,32.848364586831735,32.660745414576596,33.866951438897885,37.395075910562724,41.12781371950057,38.31811305412671,35.59050963903866,37.13084490174987,33.323267035308156,31.341344600659745,27.950509377984382,26.471594889219958,22.045757215485175,21.116595946886477,16.77601995041639,17.838760643688687,12.80989748370379,15.759801528571053,19.38020035358725,20.74132196401664,22.83283461621865,25.428520413488812,27.654530560069205,31.171483166870836,33.23170913368689,35.41698964962695,38.25350345375934,40.263401925652715,40.86496206550561,42.31781211094804,45.3831515785525,42.77277809167341,39.61344079036099,38.54193516749508,36.2046006278468,37.247714923641716,36.82254403518544,35.7331934353071,34.18814628336214,31.80280298935806,35.39710501815015,37.91332795737002,38.47820744394281,40.53573329839541,35.57490108761962,41.075951244543546,44.46540455323877,42.68104656691594,45.31052433314673,44.01459437498338,48.95227827872807,50.05874995068516,50.21530558033201,50.96381551131395,47.09230811666944,46.763410297342055,44.15245292687015,44.07891819145135,44.12769778980555,39.622189222265476,39.41236218675364,36.83097101280033,33.454880352538815,34.823781487849274,30.977295715965706,29.033862039958,31.59166313546634,31.22940854749162,26.550406882198846,28.128345457314015,30.043601908123975,27.350220335098207,23.976889033464403,26.616735532140247,27.027143649871054,22.427952854210687,23.136609869631332,27.36097751065522,29.306344742828298,31.053941356176143,35.88240045432994,34.277506186757755,35.10992902038052,39.91504092842323,40.28500739988262,44.251181039889055,43.87566146206218,42.234983838505904,43.50172421123153,40.67484362595055,45.70564404484658,45.85845980454473,40.96009017347112,43.03416690178337,47.84319030058438,45.215715404575604,42.95219095309583,46.386060532582704,48.19743576353956,44.444219390603,43.33974437150619,39.07332837454397,38.61713726896703,40.205977649724794,37.5543888264461,37.310342285104475,37.414540768960165,34.316297752102294,33.27557310485535,33.08447316150061,30.869977303344395,27.83751497449618,28.37571313980118,27.147372671990865,23.95166556258396,24.132392547413833,27.958959527329327,25.70410509820862,21.896961115212076,26.3228284862717,29.52277951123614,30.96516584977202,33.32605797193667,33.072506426314646,37.51793365547789,36.64065251620344,32.9647495682435,36.921661764257784,39.35965690950381,37.09747029686033,37.04491595607465,42.58649399901034,42.59945737498928,38.83401262289604,41.34532035010387,45.84214635386528,44.829689161181214,42.04895293126472,38.077710893963015,42.87662378865275,39.722932235625784,38.0227995155845,33.79640583570409,31.461600264793287,26.907871168058165,30.083638892673115,31.90681492911618,35.796530133242655,35.64392980786818,34.27972939365151,30.33985751852762,31.39671941271311,27.803965999473068,24.713163093455645,24.10957411671119,23.5811734271382,20.578122102557145,20.359336068907638,20.174763343653186,17.200938662059457,15.357046544049053,16.523466537198175,17.398370463737095,14.99310111183559,16.344283901596118,18.112106894459536,19.703985788686836],[19.133791743155165,20.27415930111207,21.965939790088427,20.95009035067176,23.09777239465573,16.31255493819016,16.6009663978264,15.194308320465097,12.308137876901428,15.753087245297086,14.85237572469956,14.406223997150317,19.17573644412849,18.39397351922023,20.32963809700681,22.29486581258321,24.35072540786539,28.190934995556407,32.41761907879656,34.462938852342766,38.400964819477174,42.1578996134842,43.48815976890835,44.40141980107394,40.81070653899136,37.03161043736622,35.002118325940934,30.63837793014055,28.923895965595182,26.466057013810932,26.931926832429518,25.626139071796906,27.00652906386822,31.563670463355248,31.147407168364534,31.44988910878945,30.445448754184746,34.02000611109211,35.47961312627172,41.056027656468466,40.27940648509263,39.33563883414319,43.452073905666765,44.64557613935718,47.55806234822154,48.217576135224114,51.83678294446139,49.542968582898624,46.27747567548791,50.37993878763964,51.075963436403164,49.73344880644493,50.4404323034608,45.43110668444982,48.91781542005399,52.03867447472842,48.64647656347104,45.612605801073535,49.91044186460937,51.99654505358856,46.98648030098482,46.36177322655438,43.10588563799061,45.937161557675175,45.0647571849618,40.777458960040946,38.110253211237094,33.91813394007558,32.30604883174982,28.395559813745294,28.776125174029858,30.39598819238354,30.87321191329407,35.34352665176038,33.169388678621914,38.74736777700761,38.57077417734603,39.58122686999164,39.65362451917785,42.26962506112215,39.889431609993004,40.998174261846145,37.83887894678804,40.423752935036816,38.57847260218209,35.63376279646704,37.31638681949592,35.48334679028147,35.779037539893054,35.93107775880983,33.83024381351409,35.467728693721305,31.391703693840615,28.28539566320808,24.311455124819233,22.965835583356025,19.686974536338507,21.438558884198827,18.870464969233915,18.415829166869756,23.45804996848725,23.554218252246272,27.390470361671504,27.073599684754154,32.691411922809785,29.344263694568163,32.35518965263639,33.56189181253346,30.156652322141564,27.63928060956674,24.24980186327878,24.69604171289906,20.547333787361836,23.542722949252447,22.256582057298466,25.19313312459496,27.035278286203187,30.12072591545716,32.163123654031814,27.931022494420677,26.416206649487545,23.218144851380448,24.711410881392894,22.522136680782307,19.82132261662519,24.106687595611092,22.395508711164798,26.09213101735462,28.474008049598687,31.50714507784531,33.93367803576937,37.176838597742,38.648237089279185,36.941038012770065,35.42461535621824,31.419769871236987,32.17557994446834,30.670108451326954,29.98340007836432,30.982358283848683,34.080223715201974,37.68695233930436,34.74213814739227,32.26483095811281,33.8857824339303,30.077237142155397,28.186115378419455,25.060273396141,24.166366741625456,19.77375821411,19.8676696251106,15.373548301733988,17.563689806952556,13.095930389900486,14.738565993693939,18.12621793323241,18.69931424594636,21.420234477617825,23.173307085846453,26.008542631132496,28.967138812334515,30.527612149189363,32.59310670559152,35.54358386747478,37.813419468147714,38.28186839712721,40.20038445197515,43.21694328302088,40.90945308338573,37.465191108801974,36.60475388467482,33.93973829472825,35.09319421801027,34.70089465716864,33.56123071126953,32.373132050903145,29.527969519921115,33.58062109513313,35.80136804806245,36.76192969825423,38.571731820414755,34.05905007659168,39.66098537850838,42.967117938254695,40.88997761072041,43.05771891342099,41.360842114393556,46.37207046788345,47.239781288830116,47.81620058852033,48.759564381395386,45.0293466253934,45.04825961224262,42.6904564606583,42.96035929982214,43.398842670584074,38.93099952861957,39.21666583837932,36.94362482020364,33.67045093963575,35.69394819612003,32.00754105415264,29.597401685903804,32.431622759020996,32.700146798273565,27.89349187805331,28.90554043929813,31.520483057819007,29.509075282816674,25.58783449290783,28.280333521771368,29.32679154003477,24.802087838354467,24.898244022774417,29.46670800379338,30.96563056440592,33.51795129372086,37.47750363994353,36.04783875006917,37.38405085591154,42.15247292395572,43.03662400033012,46.629810296660565,46.38025442224032,44.4197667517023,45.61151491815852,42.49434508233318,47.41001129524528,47.66577961807985,42.37048767278731,44.28354662397522,49.08811197000501,46.31196230750362,43.759900862730966,46.96898140988207,48.84932115377322,45.05454374556955,43.41683833244563,39.57263451983636,39.05491723349863,41.03650063782626,38.89507594786917,38.73295576137693,39.387339802055806,35.91365283020809,34.65180252671845,35.22990294582547,33.09632174389532,29.559212445553136,30.38093877176091,29.808078790701323,26.67514808332398,26.56096230994118,30.85497955290656,29.02706435395853,25.058435330226242,29.330680485733684,32.77544144897661,33.798058640702465,36.08564818782954,35.40755407639877,39.8766179140643,39.1996456375009,35.02524943644432,38.78470428684791,41.36418207207967,38.992375180258335,38.39862562799042,44.15174893983399,44.21947623282995,40.02682168347724,42.27772675139989,47.05809179235286,46.01203730188046,42.94577184249617,38.797144975672424,43.61212497218483,40.221784407601355,39.136428754810694,34.50696102462232,32.39301230280784,27.6664154304681,30.34074022884718,32.052277336053514,35.910588732653,35.62905112709713,34.703471270175385,30.249763437420153,31.330865116334778,27.171950788255426,24.874284094280732,24.649360683918463,24.88614220210156,21.54030395454067,20.724167577377568,21.543747252347792,19.122378319911885,15.894080849996644,17.36239910524905,19.43392903657022,17.912968659350085,19.522915858451956,21.308533654763988,22.692623450960237],[18.32786960802854,18.962670221083222,19.912477620870852,19.294711976833284,20.686584251711885,13.81840561498949,13.8801763598668,11.901205015831318,9.60488146243476,13.548247910652973,12.98522577342843,12.0019140196632,16.74526649231744,16.736101218725825,18.69510814889832,20.211962802955654,22.29742784793054,26.356157350859256,30.827294023851064,32.470612686746705,36.576355646964196,40.122155312250754,41.59487090262028,42.54711749480836,38.79261425778449,35.198804725195345,32.84229541706188,28.48110712531694,26.673425105922195,23.966966415647736,25.106579401616035,23.1944639875319,24.863167925285637,29.548209738540546,28.808003301273846,29.17930758950645,27.75584456537721,31.484759679853255,32.85635476563448,38.22141096308564,37.723958809782786,37.027924934891054,41.04762240216897,42.264316537467096,45.35958129507162,46.0619554491142,49.605921168219446,47.12715169929877,43.84919942891962,47.80966312574252,48.38898098830794,46.88963002077428,47.66177754369483,42.65222416173424,46.050092422689715,49.368877327016335,46.12742409913713,43.029271806159414,47.36189004322103,49.59125671628057,44.74540811502249,44.27953801526989,41.09731760565228,44.17523121161214,43.14693122135666,38.72791103816362,36.5029320144523,32.25864144909856,31.06229526228576,27.254637674959394,27.903876703758357,29.927918251955518,30.058054316202288,34.29431570870897,31.782583514671465,37.33536283873892,36.72825171939559,37.704888643645944,37.46658090680347,39.8812769162085,37.23989119836159,38.140684182655825,34.77956763245636,37.2688803453012,35.56037486115227,32.71580104837483,34.68790913982316,32.78623976984353,33.49531900043958,33.79266975286376,32.00688014629196,34.03984020940804,30.01423818803009,26.776375345874502,22.69369198964724,21.844948183152447,18.475617829393904,19.447643109885895,16.47587225197466,15.728294877575877,20.611602927476287,20.209788394447394,24.17232878641541,23.552706088254425,29.15457104303599,25.792872798451018,28.758451664780356,30.059359165511754,26.74566400249998,24.100529432023176,20.869500352348094,21.40643609623546,17.446232130407278,20.75233564529668,19.865216979091525,23.048176753472024,25.026858372265743,28.30334448638756,30.628082802433887,26.30125637032211,25.025404185159754,21.683933255681218,23.17093965222889,20.655597878666285,17.653835382042118,21.588775113727284,19.531031115211118,23.066803777027843,25.281584471098657,28.128364621978577,30.740389776368875,33.82535819120846,35.37902826348198,33.517522997831314,32.25212063897311,28.371729643734987,29.362892180611833,28.04495551550507,27.68225671971223,28.551393431449423,32.06417358354739,35.5947024845986,32.62208817422698,29.941846289551666,31.391742632121876,27.522840262453563,25.622919724163204,22.2531907308651,21.036656267765242,16.613982043340087,16.34945271093854,11.847296894667252,14.016317026683897,9.929189288243434,11.752910691205539,14.87917254584069,15.50638901038753,17.954650554909207,20.010687480916125,22.603367001755952,25.835035873649257,27.59672952862111,29.84979629535396,32.65232054026078,34.88021395851814,35.62178096302,37.308865257246104,40.48413337632426,38.16819770339112,34.83643790912418,33.757262636708816,31.12727754259795,32.03553119377857,31.534809345243225,30.368627892993786,29.038265850248173,26.393966794302887,30.32754602090868,32.59689044397177,33.40599382744338,35.310351423068006,30.661383698215715,36.2686179224828,39.62514371564496,37.66445535558682,39.957529886605435,38.4419141281819,43.41702617698511,44.50503919584532,44.87014483501707,45.79716426086137,41.97951131120357,41.96534144344882,39.57131845962144,39.772296545677904,40.21175074086679,35.83076214732715,36.02914665585892,33.894934658527646,30.455060499570735,32.58734278905057,28.802551656098796,26.459408756646226,29.586229525685614,29.837981490331885,25.068698278095926,26.445801387246025,29.074739703735812,26.99717265677949,23.367835855488746,26.313637791455513,27.43008825939808,22.979215113340725,23.406600370805,28.09655853202573,29.37194678414676,31.898005831219024,35.70664950303802,33.97282540901915,35.35108660503901,39.922448443362185,40.91961542389305,44.20891182002946,43.79982583810608,41.653652619178786,42.66057812359359,39.37683754097018,44.257937989335915,44.6950248286027,39.37459152861142,41.09437398773492,45.987616665601706,43.34949004225975,40.68057911018695,43.782165060030536,45.89103972373629,42.21109194122073,40.35307767629341,36.57581236961595,35.747839143884555,37.71924542521149,35.66710284297787,35.37422017491,36.13812479162856,32.5230577811067,31.324370855660337,32.137999991039926,29.935246002057152,26.291063132727707,27.3811742529098,26.99131615444992,23.909567750236164,23.919697588485818,28.36291363678989,26.745568218399274,22.964459191384154,27.27287612543976,30.707196777902,31.564100743784493,33.58210068056972,32.61425288644975,37.089941634729556,36.73323637222548,32.483617320894425,35.9835433505664,38.78758346153316,36.56607881785072,35.72789952008748,41.45742474095191,41.829703316150535,37.65024587877545,39.62801471547489,44.50628579384267,43.73795375190487,40.70931427319355,36.709442665606396,41.690889768245036,38.53404179679465,37.51290377045272,32.91190100629615,30.45052269169507,25.837759115126797,28.791223092296562,30.172344305541024,33.988652314974345,33.39412450708982,32.20654854932154,27.605202001791696,28.347194565449783,24.254811303049763,22.01853887108263,21.38135901076187,21.716776455328855,18.153180846873532,17.578642336501794,18.79575227837782,16.298718301596875,12.76195345674487,15.060296402485138,17.324329688531385,16.048218011253326,17.84896766453505,19.783047105891686,21.389274803128863],[17.995536000734987,17.989035786202457,18.411350821506364,17.08584815880398,18.08148841173457,11.39783846631005,10.8482614606758,9.375901194468552,6.295071146692911,10.183832249617584,10.103444019313468,9.948362266791387,13.925783246093095,13.634455698983857,16.240029874668164,17.786275983123684,19.32200922774837,23.559519440325847,27.83665399715863,29.56730847103855,33.63407536631268,37.2406372853347,38.57132826109605,39.35573409518324,35.6023747428613,31.984240275588146,29.661909726990967,25.300568855770194,23.80291832022177,21.4232640510737,22.987379948516768,21.332768390460355,23.513457742172214,28.03371382604111,26.918262649551217,26.83532423543038,25.530333804853782,28.762442386571887,29.942748151171408,35.450382101032126,34.62878595152882,34.0542358335111,38.17000181001037,39.18674419552725,42.20118780577397,42.76951335752952,46.3704421518249,44.01040130616514,40.607633943199396,44.581964074461936,45.34855119602203,43.952909566921136,44.849169041573695,39.842506485172926,43.492906218284354,46.72850184685185,43.34780036751863,40.492951798645,44.93926939049838,46.92455301341075,42.068228882353814,41.85953940004649,38.84762133690298,41.74550079590982,40.50122203667504,36.131856005530956,33.81953310894846,29.697769431917457,28.326169157046934,24.729896728038042,25.22691701584967,27.480455663909535,27.787963655385894,31.875524841492307,29.56411924852625,35.37255095886242,34.5252782078377,35.865174154547674,35.42200213728581,37.63245534194537,35.145907071761386,35.8114851918423,32.69891016771251,34.946768117563494,32.942908289869436,30.25172418807866,32.17065374595805,30.72339077057442,31.179092552487212,32.031358970367144,30.095451455520042,32.371905887583104,28.42794517679007,25.398102940270945,21.018843560663836,20.56078013284825,16.783243083191845,18.132787972956802,15.159847088727005,15.426979355099547,19.352659870210147,19.164788811071652,22.508841903098364,21.953889504674688,27.26224675355096,23.80533508601296,27.067153620806884,28.11332006872841,24.834560997104983,22.32290411503303,18.775902625001784,18.785104800595363,14.530692722092235,17.50934068943648,16.475256630905722,19.533337159067194,21.62209296596888,24.78966945490002,27.31819593333601,23.127262074462795,21.705829304944928,18.283025979627173,19.59050999147293,17.05764179713099,14.115514983836128,18.23483323152746,16.71798741840596,20.218089376499197,22.761295918172422,25.72846151247162,28.26023305743833,31.57317831777282,32.80881470442765,31.143612777236303,29.472153311927382,25.421440500842774,26.409056158204585,24.77945820548323,24.22136130135852,25.104224773538963,28.49699479298517,32.081367482234185,29.18948926150858,26.53020008617029,28.14029687649795,24.42201563749856,22.382543673473123,19.238280020384625,18.258355544833822,13.86883372951833,14.331373555920027,10.251621423158321,13.594800323487307,10.943308144087652,11.96231360286204,14.212351252947897,13.874031223975194,16.306090662460647,17.840566955471438,20.318930453190273,22.996591682093705,24.76275291733775,26.647420411290895,29.669054481852587,31.794289047526107,32.29988874327508,34.16933153527128,37.25103077101912,35.020272037560744,31.57315912634997,30.63291285582295,27.918958476531344,29.053231466522902,28.74657113869246,27.77495764450316,26.818500943613444,24.14054189624229,28.487137716732956,30.301233575150363,31.245603645947163,32.73990356788682,28.238690278358273,33.79684619049675,37.04389852803114,34.89181087110757,37.10404325581965,35.48603961555291,40.493138992681864,41.31177517893444,41.79622612494291,42.71264125156167,38.98323301982233,39.03045166950448,36.73073571237163,37.09764250073649,37.70709950711898,33.32062212419909,33.83918331045918,31.861655576820677,28.600597561264458,31.138807471221327,27.59970059492147,24.885264007095046,28.0759702732216,28.837441874505622,24.055582069574008,24.91054753958877,28.02830205080467,26.58625899376314,22.57086886455193,25.496583458162576,27.109766764579533,22.8553228580009,22.82934175656461,27.689512682478185,28.545801306108082,31.656529617250808,34.69781827616572,33.08495070363911,34.85537229743404,39.33596961707593,40.77442909597093,43.71723025853189,43.45989753089339,41.08968096920054,42.09789108227305,38.674566920640515,43.417370048076684,43.83719659547656,38.2348005171399,39.90160020846037,44.69933488586011,41.91053770846536,39.08588604553853,42.05064296197143,44.10775805373851,40.396104472485874,38.250493680818366,34.76577197182532,34.05043932552579,36.30736832566683,34.64353849304643,34.5743328008786,35.811552009816516,32.058479743261614,30.50398334578863,31.88746281107341,29.969095188583662,25.908938917253707,27.0039179426967,27.247449273557393,24.31498110110452,23.899616432446134,28.65029675158006,27.48987665243244,23.587577813177194,27.596563554277814,31.20420549899125,31.641954153546077,33.611937716767876,32.33925346139942,36.761229679777195,36.50136396741832,31.874513885456693,35.20640753273488,38.045277531926416,35.74052210995445,34.499319066003956,40.339677451383295,40.72357124330058,36.25840330850339,38.03532375610906,43.07557569798078,42.28633137809629,39.079394470394284,35.00783976204872,39.98029267277511,36.73679904452158,36.16098529894135,31.34207286428685,29.000893413364725,24.37263326872697,26.98795227523875,28.194849848819157,31.935620140680903,31.218371226753316,30.323933024699354,25.43647941748025,26.2358563032923,21.816717845139248,20.154751439569715,19.987398484430464,20.932687866362976,17.418724657367523,16.11177592903347,18.014429545884504,16.231550382444606,11.772000223744687,14.021549177437008,17.15715864410847,16.789040235348104,18.770347272929047,20.696093966103,22.168951326339798],[14.428223535199361,13.982997655722542,13.927437135361558,13.431152255269112,14.281046057926273,7.407782919575763,8.063800195126761,6.9690737376119065,6.4594974150105156,11.181221956526468,12.49841072537451,12.21546191432808,15.111620388629674,15.628917110966444,18.783333327946476,19.69692601403082,20.644516541354797,25.250891645599566,29.46964411699244,30.768160495162356,34.94068375502664,38.28000675734992,39.59701653083693,40.15036480131665,36.214213966744644,32.87797324037647,30.16401558313298,25.91034214732058,24.78116872665659,22.378563130786862,25.232091935676564,22.847701352277443,25.557140822694382,30.111668970932506,28.408639393468494,28.19586845721126,26.228558450907034,29.262708094057427,29.969357478433235,35.086708788482795,34.40414801700107,34.571588708076106,38.58551313242777,39.321412299635874,42.495715245019376,42.82818556184653,46.384451804853924,43.94204512575434,40.243863197261405,43.84511180192269,44.78713442647987,43.160814777572774,44.46480328300855,39.51162265846295,43.22752833471919,46.8028117070259,43.60757662300738,40.912993571556726,45.47792111915739,47.49477681758899,42.95561787023211,43.21362253019183,40.45668288069204,43.526591947936616,41.91643546228699,37.46334145672887,35.67464373192856,31.677029366723936,30.592914231249306,27.370238212605017,27.908585258210387,30.569747388458044,30.811018676683005,34.53268927444011,32.09056928927754,37.91080898852161,36.446185788667364,37.89486334412981,36.92597438584775,38.66619916979277,35.82041390739851,35.87092081227219,32.46352877758297,34.194312063369686,32.29309175410251,30.118929530897468,32.63022843432712,31.390337421882304,32.44463792635897,33.77924130919175,32.26289970312861,35.05707582771987,31.26485077212846,28.21001562070295,23.763331403119267,23.925994020704664,20.10850719225141,20.61521252792081,17.205778188540584,16.89118306020434,20.29131870745686,18.71168715144046,22.238217729168838,20.44479165103909,25.261928550631684,21.24436997626553,24.002317921490214,24.690512811988707,21.040262824653542,18.936133293722484,15.158392559506494,16.157875109513355,12.384880749207841,15.913922870604392,16.31190578349512,19.25062645653897,22.05348437886377,25.014078036928257,28.458485872290908,24.556624219687755,23.113700791578825,19.486495876665217,19.897551315499005,16.780532415762345,13.110881392428396,16.25167636037138,13.373919402462054,17.189436831010003,19.304612906401076,22.651409461949687,24.69995724055402,28.01107868030249,29.640120523137167,28.264932063244125,26.63209838392842,22.82102461877239,23.262829611833304,22.439569453784753,22.507025526311782,23.80960982141297,27.731864780332945,31.57603041426226,29.100653673632987,26.08787825261009,27.78523344301253,24.386001253060254,22.007815812654954,18.816671100391403,17.088925542411516,12.777020169888265,12.234094963245226,9.211514680294636,12.317993318183772,10.812625338417993,12.942874878058847,14.407771119900312,14.111961919560889,15.263149545555684,17.58497875472782,18.664199053721084,21.471554776291423,24.16722850044524,25.638734108837927,28.778289307206354,30.25612317850783,30.60096161223565,31.94160908249465,34.95315915243804,32.33096428891264,29.188716167091098,28.099758701666374,25.847392649379557,27.162983434433027,27.12645218114122,26.57525579287704,25.596641571727783,23.704435903720324,27.879746723814524,29.468983729636033,29.945510961686576,31.193947549193044,26.132286994221737,31.454268592629923,34.675651366315996,32.70534499272878,35.58420730245612,34.49573271407772,39.40386082787718,40.18494881251852,40.15269575338549,40.72126507206542,36.89849614006445,36.45084180801087,33.86286393555327,33.91967681412994,34.16019304617539,29.64039214956327,29.866214846348612,27.603249464296404,24.380872381163616,26.627069768450855,23.13859243770602,20.43109688135007,23.429675075910453,24.114909803230695,19.31156016258546,20.2497743445454,23.2549313338323,21.85561084278861,17.843664759944833,20.856722044578504,22.507918839270832,18.364246714191662,18.49680831814443,23.37238406531519,24.09952791275107,27.161488189965134,30.144310521909247,28.380040006195433,30.153296494396464,34.57756578410286,36.097624012801255,38.95531029693874,38.74733330994906,36.38372117564631,37.494409051379016,34.17844839554195,38.932378478739835,39.19552173984408,33.600780622743805,35.43464664891463,40.16482840188551,37.31451456875659,34.61054807785809,37.73742081775678,39.649305025803955,35.902243125247736,34.063836491413916,30.32985173397577,29.87179889490001,32.03682552738705,30.217345179097315,30.405167937526777,31.677254057500235,28.154182126461038,26.265881907702386,27.5502138267392,25.96789006964308,21.7682756873885,22.499377929755564,22.978936248630184,20.139778938837836,19.353677107209734,24.210132387352868,23.32471680445632,19.34998107569181,23.144371330736806,26.81694349710456,27.04701970029917,29.02233219559737,27.73171059092624,32.13022922790993,31.80179954193195,27.104741093025087,30.478260470241967,33.266941910648626,30.955761435375997,29.75675512470582,35.59111415707188,35.96706802765474,31.569422419130632,33.399458635796925,38.38688458921845,37.64175662003549,34.51656293964695,30.537792982608448,35.59196651433967,32.54593172872594,31.79478839308731,27.11305193577277,24.502706995745665,19.976560407580973,22.960905614601124,24.024096234397103,27.77744082558211,26.998578411719365,25.8284644724179,21.12883910576649,21.987093389656398,17.862464455079245,15.652804490999952,15.6325328850819,16.45838450960118,13.37255583509056,11.619212561992395,13.260065935132989,11.803774528086265,7.265910935621252,9.342128120023386,12.638895909250518,12.868886563881714,15.018841151587417,17.072720153354627,18.768874339857792],[14.441755320906866,13.342859648617695,12.92852166219945,11.109515803441944,11.90067218953095,5.371863140118103,5.530662167187934,6.545852252945243,5.330038412645868,9.319367224962027,11.462026854263108,12.386312956764266,13.997766757560935,13.869866407371573,17.81802880189792,18.84681309002228,18.950360039488135,23.652522620415,27.42799938923479,28.95510375948319,32.974851267250735,36.43100449728176,37.48583562767223,37.75796470301684,33.89437146880918,30.499460147406406,27.950570038684155,23.755286964209187,23.180715540704703,21.362879337184296,24.527275943703376,22.66754078437684,25.800460152619436,30.062248769979938,28.050532949285863,27.267244329651895,25.57864765260417,27.853024126756814,28.269041497361805,33.57000498150975,32.34865518859425,32.67963374118206,36.82241270061776,37.23758782368899,40.22901028526342,40.31801084507476,43.97005483412944,41.77298030363298,37.87315974347213,41.48975063759001,42.766741522176,41.31843873502827,42.81091300632664,37.89586371344027,41.96037176104212,45.370830114989474,41.97428886414345,39.648570175617635,44.32541508449956,45.97427680159948,41.41123281368472,41.966783868870024,39.42699354490012,42.17159636581348,40.336719064254666,36.024776085780516,34.006431735165364,30.24119432312369,28.796281894923005,25.8871851767879,26.105691988533202,28.87720315114193,29.481957225795682,33.04407673952525,31.003087789684574,37.07314776008866,35.465208269854564,37.343787811153355,36.229148019406594,37.75225107721168,35.1868220869983,34.97351460046886,31.950281084621114,33.34390148940426,31.038297639457813,29.113068786168096,31.4805460437055,30.859511559891324,31.489441020156683,33.43801244044952,31.67742666126586,34.595161124121795,30.925559865061494,28.18491910046246,23.5434420720025,23.95877320752049,19.855099669725615,20.971147878987832,17.796551772314967,18.511394553691645,20.946967197620896,19.743327375153076,22.450444361242052,20.771709053219293,25.057163071994555,20.911340843314182,23.929836113795545,24.1495872252766,20.477560212107253,18.776987143946922,14.511923092325354,14.86944609948425,10.730351541399452,13.57250700447697,13.917442305818222,16.411335700212593,19.487906621325497,22.090067898198537,25.866765857758484,22.31085213302422,20.539900844556232,16.87748238161852,16.718982686798682,13.594673967768108,9.934641866234925,13.347305041358782,11.221741958012517,15.199253720068613,17.8135129982233,21.516059649305358,23.18683432081629,26.89215701483491,28.10911668514702,27.169360940854105,24.84022202648747,20.780419557680762,20.892191856292875,19.684627909862776,19.400963302686456,20.95613606124912,24.578981036588225,28.624376145189625,26.38930114493923,23.45200986279497,25.49405284512688,22.44192480884184,19.81694692906282,17.141668270988216,15.814877226687681,11.763631985082116,12.300005778261216,10.285895202004657,14.312995603335718,13.846317975849557,15.209026672177092,15.978936064527892,14.70734200452533,15.760190116641825,17.309918569989982,18.09230285305854,19.936312246246242,22.68501244890959,23.425684488002897,26.96138127869324,28.172808352584244,27.977957507591153,29.59189130081744,32.3536073158794,29.758670802661708,26.449096551923684,25.669838855568624,23.395570098174847,25.236049469995077,25.593749115203455,25.407539937305145,24.995995142800368,23.11742496173721,27.751144217790543,28.714356336725825,29.35644024592214,29.98001615140333,25.136077835698465,30.28952946772566,33.31132511763231,31.068759689963805,33.88880895878449,32.67428065206428,37.601810533475856,37.90032181113927,38.03971420696995,38.53003407934156,34.866092199586475,34.413462725941265,31.917457959607763,32.17286944248944,32.56131542298777,27.96530738366874,28.621741539584374,26.434779699003492,23.614665678404773,26.248306692201655,23.21777292579733,20.02065611316316,22.808072102150174,24.167498787517744,19.424740704857427,19.358525671183134,22.971943624701908,22.4888688721378,17.86959984487305,20.625712423030365,22.867170042540348,19.047014371375838,18.375849617894172,23.31618360239706,23.596836957822852,27.392573902351778,29.437776136838384,28.01269157513202,30.24765547906307,34.62731184909807,36.62140779644196,39.19897281556144,39.27921704869826,36.77415698582886,38.00058134223397,34.66273241839216,39.22584238970085,39.33350118974385,33.451772779389884,35.34891426173132,39.858463463303245,36.7422066759626,33.95110970792129,36.97782935209381,38.64702194122415,34.79521390618087,32.788875650366755,29.372789771006254,29.31953253823316,31.820088048776714,30.430692891857735,31.010985911483395,32.768091299802556,29.249985758802076,26.883953585976915,28.678164062297636,27.537824998606666,22.998666417573222,23.502648747287047,24.64037478412464,22.029491923723008,20.65324126606895,25.669394582590126,25.23493743337273,21.11144080057454,24.41005166831179,28.230869816771747,28.03095755387329,30.078360544232737,28.61148804916418,32.87446074783199,32.46727927417965,27.3993985116562,30.68402745391308,33.34006681899131,30.851925678082715,29.305042294389,35.2473617050947,35.44583598860706,30.70779849599346,32.4476447426486,37.548524747172834,36.6154171551734,33.25939901405721,29.118609772059,34.058319026259575,30.788752668434416,30.565293118238674,25.6101263712313,23.358591357924364,18.787286467362538,21.144319632466704,22.150052154266003,25.82701090970246,25.075736270607223,24.449626774391632,19.508955106936,20.715735768095787,16.161204121048023,14.697662568452637,15.73729276696537,17.26339732068298,14.632243583035637,11.708220556362694,13.87940983120636,13.565689282220573,8.555647634122975,9.505080650715918,13.701800404724652,14.930547988971217,17.119088246340926,18.969497818509982,20.36721766104975],[16.147840444719975,14.369978151875303,13.33550504061379,10.090726757626953,10.212533499752897,5.6567901377736165,4.292213744221783,7.582857854989474,6.088859917732679,7.984650020876493,10.999933477144223,13.096740560091016,13.03313688987494,12.252526669787214,16.917898095073483,17.94644587046102,17.024713234353335,21.72175447209514,24.9319004305499,26.641282508368622,30.454008588491188,33.983207865220265,34.752098727465295,34.72129830382958,30.948613195445972,27.540092934078448,25.173869323697826,21.113588831785847,21.201801983558973,20.10426220613845,23.61715659184777,22.33348290215882,25.87726450031731,29.72890588246423,27.37780046562099,25.970857553195387,24.602910505877325,25.970519217991864,26.04682922038636,31.48720812129878,29.68447249206937,30.198286680101173,34.4387592316554,34.5036628079648,37.28924177306723,37.127746964738385,40.86235467582408,38.922797683696544,34.83657469814088,38.461516362842794,40.07522549968689,38.830163364034796,40.50289549880082,35.662153289507785,40.07235767333536,43.27816417280357,39.687443070569614,37.77980416803656,42.54265932804796,43.78728775090822,39.23896339365172,40.131638405862525,37.86301112226641,40.249204158557156,38.16346921036372,34.03647076918576,31.83866154714528,28.385021840082064,26.619760120415194,24.156573244266248,24.05197950591128,26.97487690628056,27.908332085273642,31.183954208536523,29.572976050424177,35.825561462269064,34.020932771933765,36.35148250584379,35.054597068316006,36.30052312125368,34.06222084631969,33.55431494919488,31.00360311082155,32.01550728240088,29.285945356498264,27.6577911419497,29.830217991800527,29.91079185185499,30.08260957030826,32.705412618734144,30.7379537631323,33.7999932397603,30.339508258891463,27.98886377683412,23.247782522856266,24.00983301826498,19.744957626446514,21.3567365800505,18.533437546595778,20.25070817925774,21.559448948183807,20.791203736078497,22.516407649842012,21.06503567715142,24.67828928920958,20.570866095095752,23.86449376539932,23.632044657561895,20.13947631171631,18.84679976822442,14.33380682384829,13.728898382626783,9.435423007710034,11.058826147378635,11.271951925609413,13.09711247306005,16.458053310408282,18.60652965593863,22.762006016083493,19.670441188733346,17.588920254469578,13.965638657538259,13.060695428233167,9.933142476314188,6.395496853223428,10.153544628524923,9.51021267436614,13.285173813461192,16.464601267744037,20.33969535328843,21.667770153997264,25.716604626268726,26.37100806214078,25.866686246985864,22.80527266287753,18.50826010023513,18.392432553724923,16.5846526992959,15.815628302832165,17.57825234273329,20.828001604680352,25.044586469702416,23.07375501258697,20.24954637108488,22.64935019513504,20.049264642166648,17.19755637141701,15.241396169223485,14.490827481295451,11.079234796308914,12.843521994000746,11.998069406998816,16.58530486063955,17.095674892291516,17.71227115831605,17.739591669267092,15.550043237542596,16.44177347176462,17.04333334741016,17.501967685016915,18.142817775318548,20.828030121090116,20.721488135643277,24.644975440063472,25.58440308465846,24.820787432419564,26.780889971846445,29.277805450252934,26.808819518962437,23.294084021842572,22.870123074228943,20.52204369830846,22.898217282681927,23.670229703824106,23.873496098905278,24.115796641647357,22.272474337596638,27.31368674777762,27.564846295548595,28.40526005836693,28.337431940842766,23.87809851610046,28.778526447387858,31.544753625413232,29.006504431165805,31.662475723883237,30.286414902243386,35.20016386960371,34.98283240247419,35.342982879158534,35.78701626885755,32.323444137385216,31.94484113690786,29.62339641472171,30.153171047932528,30.78849935581926,26.21973099975292,27.41164489395573,25.471027270713215,23.11066246807903,26.228728063858696,23.729806159058118,20.115670982216997,22.739690844917718,24.81476706770968,20.310769205748862,19.28765709719283,23.47517416703863,23.93444191536966,18.995353844043095,21.448687827688392,24.24137771524019,20.89228648232549,19.559565226151886,24.400952691491703,24.135229990915185,28.59697872289904,29.544396128332377,28.4299968043604,31.129012187155105,35.323767533008706,37.819098399769025,39.97473325963245,40.29286324502859,37.5955240517702,38.84604410828373,35.44327768893299,39.73536095664436,39.76788361168579,33.631141147909744,35.46869184209334,39.73109213853853,36.414355418151764,33.48942213920134,36.293875216131624,37.783838839008176,33.90680262298091,31.577973737212524,28.661694304606936,28.90015934144555,31.755255884533536,30.924144166540394,31.82555888319531,34.105564228543045,30.555606403802976,27.80549663580397,30.202611085405753,29.450884605317547,24.64421042208939,25.06690565695929,26.858194222947212,24.524052309426207,22.72996684657861,27.812626485817333,27.844944900204986,23.752174422152365,26.550427370696163,30.42016037531629,29.776970366658457,31.76191204387531,30.037969072091336,34.09988136126914,33.74605658709698,28.365656566409612,31.385161080907846,33.95196494758533,31.37320171545579,29.366918115220415,35.32672936148867,35.44700573555458,30.39402977722304,31.87821898850211,37.0912631896231,36.05827334003745,32.483854922099866,28.271469374958418,33.045099087282004,29.62583460470547,30.08377325387466,24.91309895276484,23.049553093833474,18.64485478212657,20.1982215135211,20.96835669782211,24.423207719314323,23.589462827684137,23.577916767687185,18.387370309658994,19.802184868797436,14.85724337679814,14.575779901090273,16.519535491826442,18.75977340216939,16.541880845159888,12.844682538364173,15.60548374131604,16.25330839788103,11.127653210366784,11.438071941180938,16.078326034517453,18.063574781330793,20.22306182761097,21.84585396488611,22.964298776867068],[12.21483138729407,10.259238437661631,10.15218094666792,5.859684206931824,8.82727544795587,5.7890134849014006,7.658850894362461,11.500395381966145,10.946433507465274,13.158107445611366,16.07538440541626,18.12969855625305,18.213165945534392,17.181684659947486,22.00666351949334,23.121237930131265,21.891940086348697,26.526979641984916,29.299881069528396,31.137623431719202,34.75697564100235,38.27752003554161,38.782959263367765,38.38580195634488,34.72719849774901,31.406394240003475,29.186399337454173,25.35825223046204,25.938063440747264,25.09958416219398,28.7641992328838,27.5037591531016,31.07385883807581,34.93451174831304,32.50222159857046,30.968894176121825,29.524256827792072,30.545838551132157,30.2577777519542,35.47768014777482,33.39611728395413,34.373693273061825,38.59144079102785,38.26501840893266,40.887841365965244,40.33033807751182,44.0984697375264,42.419961893737174,38.018131718871324,41.34729875454987,43.40396297515359,42.16934435934514,44.23170998203248,39.52624114602483,44.11228478740858,47.37034581387184,43.7842190677398,42.191941779336155,47.00576144659426,48.04089487551327,43.64168699562934,44.824812504902674,42.731470821417496,44.94367250922639,42.68112829029801,38.68320800372493,36.40930567535062,33.17081147731544,31.119244080698532,28.866860452707105,28.44181167829603,31.212505580924077,32.55572605367985,35.8009810300647,34.50204527356654,40.82266258889465,38.979223189120134,41.449218084490795,40.05170797835308,41.10244819234309,38.85879467548353,38.020515729386545,35.456680323667605,36.05789296905617,33.28893440123301,32.091285979933126,34.43315379712379,34.772049440134,34.998421631960255,37.837590617550035,35.865971886919255,38.922492283654925,35.479149732261384,33.17134908538242,28.424136260507684,29.054479924328017,24.756083991777878,26.515246885929617,23.609055416104262,24.88922253142022,26.510106698750466,25.16155009594627,27.11873224126251,24.963823194149104,28.072350582343724,23.53052749184995,26.159269558605196,25.29172966876092,21.302662227691034,20.90327438583115,16.14394542012762,16.659338046087143,13.162956670574514,14.582759620068996,15.677366894808342,16.708290295106643,20.442114580069223,21.844713813902835,26.508384343832923,23.983244033485835,21.543676741761157,18.094725861073027,16.140526761696616,13.25558018293753,10.076602130901033,12.507488427312033,10.844690942415884,15.04600427494301,17.75204537483177,22.336051584156067,22.44757250394845,26.72277431848558,27.674814975856677,27.948764466325862,24.489628002726686,20.484138910838492,18.8956092560716,17.96773163997213,17.387656792788267,20.04313464726287,22.945228497347124,27.573428394236334,26.32017415110673,23.546474016433486,26.292293147225852,24.272267722468786,21.20236920862086,19.690562581400535,18.704301398247793,15.622293053433728,16.63749337033066,16.15598843951444,20.179500592784017,20.283691257920133,21.80443311712552,22.12345973431037,20.319003259550424,20.717309450325075,21.777500798372827,21.375357562225354,21.750555181836262,25.00332766926959,24.09506084259342,28.28022209742629,28.427355474654597,26.859961914015276,28.507487202053056,30.444020288241145,27.472619501432046,24.263321376174673,24.18810795936255,22.56704673754693,25.641464626076353,26.94739107432185,27.680704481092064,28.0806469508593,26.774006485266128,31.670018423101588,31.674950702118558,32.212552607140516,31.717564605909658,26.972801895378925,31.390804613602974,33.93517244309796,31.468165235179686,34.6813295482032,33.67891224709086,38.420439603228715,37.71978377347099,37.78879323215337,37.768420702030014,34.44975554750999,33.450967269509874,30.87044451927537,31.113340054096803,31.22079194637193,26.384152164980197,27.388572658167014,24.79003109084402,23.054830731201534,25.492888321830442,23.47292905396517,19.77807415985649,21.256897103566207,23.420192679277793,18.98808945655705,16.828745803318956,20.997763506865546,22.021782163843323,16.32655790099912,18.148882031559037,21.137486176886355,18.015183133894837,15.758278499544566,20.425108769995433,20.15734173847939,25.017368642981815,25.70752313733462,25.163140069905804,27.984844407113368,32.44567481086481,35.01911709323755,37.50562941793751,38.28114212738345,35.91612716579679,37.66947239731758,34.75972901236144,39.02693254035932,38.466087908380196,32.390224994050634,34.827981360746,38.70541318029582,34.99943300026873,32.505357177631296,35.68849363237576,36.418922705228844,32.26434665268143,30.858611291507987,27.57267258143963,28.939418496036456,31.681246718069293,30.570563047889927,32.1113981231449,34.27030212860092,31.32189859329458,28.04662846553192,29.909330643853256,29.7762754947953,25.076382448704077,24.494029867887484,26.332395067238004,24.1193075894564,21.569843792388486,26.43212422000396,26.56941327736198,22.10364162990731,24.33239835661052,28.310483964706837,27.5388065625565,30.024163865562695,28.787298929190612,32.703853466312495,31.64037065464515,26.245122778907806,29.76374870564005,31.740344896760053,28.810940576306084,27.266374001633896,33.235444027243325,32.66463344167697,27.57267682466123,29.683657322525033,34.614684428676284,33.006631029666316,29.385058679107473,24.90907955609496,29.419896998407484,25.662304491554615,25.966617986902882,20.71988356516764,19.407340475281973,14.815882747214362,15.92148689714837,17.29424675314599,20.897079297008414,20.75586595570767,21.180265187970562,16.70513319827166,19.1761616254416,14.72939540933076,13.669078844215383,16.983697499171875,18.809653038427292,17.73747261420479,13.267087950512114,14.576728404323939,16.02741824218744,12.070381630639476,9.707442536846266,14.123681803463414,16.66859151762661,18.63476143052314,19.978855292613275,20.8279157470363],[16.83930624013503,14.342424296787557,13.457062354640318,7.973460281350478,9.483798725046867,10.472208834871685,10.81243332377755,15.363215758681672,14.638042055992797,14.927792210315392,18.182045232934623,21.149992567479536,19.612226638496576,17.890314185310075,23.08659305677065,24.153542268037477,21.686247155427342,25.931742414591145,27.608469338896494,29.678658497440964,32.780449165749495,36.3013260331434,36.284749397716475,35.32327856169084,31.967575222735054,28.770204766902502,27.00907899271462,23.69320800762432,25.321404897797915,25.55510387169059,29.454580334216708,28.981952822281936,32.904398427001,36.15107202034967,33.36603963372126,31.058511668536365,30.10389255378478,29.785480909298286,28.94597872368291,34.12165150151337,31.148797830043932,32.468305602485366,36.69346921461606,35.742876122172355,37.91401533835336,36.858370834540786,40.689587334570575,39.54210167544548,34.87426515579607,38.06703718356179,40.73311762730455,39.86255791678771,42.23766185907172,37.78839412613584,42.81986920833816,45.70491098534574,41.89248731353889,41.02614004769234,45.86993044331757,46.23601053315617,41.97188849460494,43.67276638144696,42.04633101426433,43.6468811634076,41.03887082074212,37.45470405623051,34.951807017751456,32.331115522116406,29.826120808053364,28.361109123299606,27.419406634426895,30.220612462171665,32.07388588356976,34.795457786835584,34.22154837560282,40.62178949034505,38.56550076245119,41.619610683231386,40.005147873179574,40.62210086867886,38.902430543118136,37.635128373434284,35.806809996961235,35.80254188228232,32.510948968773405,31.85522939827958,33.8498638682811,35.18287962971065,34.77184748577704,38.45887139235849,36.25424514095535,39.40259264824413,36.324348498444415,34.584793145796745,29.877859303245096,30.865394693080763,26.552394663078477,28.833383363626737,26.409256770426428,28.658393428617945,29.096547157920046,28.25052056723284,29.0628707361324,27.217160057201053,29.322666868081665,25.007465721283406,27.77977450687118,26.266707037869946,22.700739762736102,22.964343028162425,18.286730082719256,17.715555750908536,14.744103323161106,14.255767985374348,15.226748289208413,14.712568096546518,18.5304905152881,18.72441452735014,23.84655848725306,22.414098007672965,19.58868077021392,16.691060172527624,13.313732312729796,11.214794206366596,9.628242084997037,11.03737021266563,11.840758726347756,14.968547892811152,18.045179233609414,22.615421431832683,21.937745157162297,26.548355825483664,26.62703892732765,27.72462004760264,23.22520799969624,19.214443275040477,16.885317464998174,15.236477193329547,13.793387634973083,17.015418303004623,18.77600379914587,23.648435157186494,23.18797920548793,20.831872067558397,24.095130052815176,23.080357931062796,19.888526982686702,19.68996840391576,19.514666660646448,17.57343752192311,19.6348787053107,20.159994020699667,24.57649349904412,25.516269157749285,26.329650596767884,25.981727222722384,23.3769727116952,23.601900911409267,23.620438483888865,22.790895842213022,21.516408589439024,24.536793966128915,22.214456280594053,26.81221111128212,26.32551498685292,23.610581500427855,25.7113928704307,26.920127644440992,24.130768528608385,20.774595529864097,21.505011541640204,20.102391855447937,24.082836957564822,26.080138730230324,27.4430730198315,28.74303274727047,27.61327645143099,32.80906926803299,31.837192608881388,32.58618011745517,31.05819643470229,27.042443871617596,30.800877249501017,32.8183231166673,29.991736720924408,32.94317145819045,31.798603299988255,36.322861081523506,34.68548814528696,35.058710215770624,34.84826562927608,32.00338503287002,31.00777077218869,28.749447187739644,29.37794184431427,29.77139153584454,25.11778329605846,26.922874765956198,24.7192544187297,23.916534407697945,26.839043253907157,25.733849705786866,21.69382353455385,22.67309529867389,25.76048618923186,21.947818618872535,18.471356119941056,23.16081885329236,25.490060338922667,19.749426450540227,20.918992261882913,24.486311175437795,22.222798458674053,19.239988886300054,23.32528373855411,22.23762148957121,27.856508586747722,26.76358363121569,26.83982539700626,30.258568798492178,34.310157594100765,37.56437656762073,39.405846611199244,40.56698916629067,38.01424288007787,39.81568399787436,36.93501673725964,40.7109291108757,39.97965984163964,33.69141753544239,36.04911788390795,39.403979215178744,35.418695041290725,32.85827259911298,35.66135287496715,35.950463048896665,31.816786412255247,30.107697117803355,27.69603789389661,29.648416987149513,32.800084769043416,32.49707469370796,34.49736489916692,37.29133324766762,34.408479615604485,30.69870277116791,33.253184182495154,33.638046251174785,28.75332059372701,28.05878630801378,30.634872542832973,28.80906132382594,25.872794266531745,30.623151005723393,31.326126101636728,27.044420854942164,28.572827001648772,32.47404478124503,31.138979153207043,33.48810603737657,31.978109252419213,35.489344086924,34.468323180402464,28.827940741494114,31.87656082208019,33.585290904764996,30.579722925319885,28.457886388917878,34.23706772182352,33.45187206139855,28.02733335743335,29.74655234871122,34.652445696155844,32.81613431489423,28.925907769283768,24.44823361825607,28.41234244436924,24.424066930598173,25.9418326686707,20.573187465394025,20.19373933663235,16.333282705495446,15.673239725177933,16.616873540167646,19.547243804317972,19.46270424822412,21.116746184681848,16.765920695116357,19.586401654050473,15.137842690909373,15.863471379771111,20.080845104012198,22.59075514387398,22.001476573262554,17.120070850154537,18.937271781074557,21.216670998272438,17.249335407347875,14.908434307941363,19.259153157726242,22.348680134418906,24.170095263149932,25.183494856246657,25.640146718297594],[14.277901950656847,12.395498638221552,13.038205200080846,7.5852714832422885,11.565686282351034,11.474215488092135,12.978425584236483,17.23128887276269,16.224854563195056,17.34641180779285,20.228158311545318,23.03612504742596,22.424559874345785,20.475827514974494,25.62059309902746,27.00978956289017,24.99278247772886,29.27922342280964,31.10396230515159,33.4073490011712,36.53329727990705,40.197844948223725,40.18165725657658,39.25959657949598,35.969884251927326,32.63150148952711,30.993816117886634,27.550216659851202,28.934163166625858,28.91666606081343,32.394187170951845,31.91556207943423,35.59917466112767,39.090542624577246,36.57507410936361,34.494454776302355,33.55560042928876,33.622269799087256,32.9668766637503,38.22658671743666,35.33045343042388,36.48744458574207,40.763820860684994,39.89617508195742,42.03141883375332,40.97397556443186,44.83220142223139,43.73892737258704,39.08143874628857,42.29568763531272,44.97543259856271,44.09509995333602,46.44051793060213,41.95567680546309,46.928729428608676,49.84123811590047,46.01431329554943,45.029641941235134,49.86558131884089,50.30531784386453,45.935435506738976,47.45294807414064,45.663391560018994,47.27558681355647,44.820323865660086,41.2054845401364,38.463048555931124,35.70381219995942,32.992065256035396,31.226851987634245,30.192291459052313,32.69981933888852,34.75055285048986,37.807605446544386,37.278367152593475,43.740928338057365,41.99016326271574,44.91452089838381,43.51984651798282,44.367269195182715,42.59115076080128,41.51826240600497,39.50102366917638,39.68872914078065,36.51266229966009,35.68816211576146,37.6955792484243,38.74289447409322,38.353555782478026,41.712865659933215,39.39527216334066,42.31642485449018,39.0467758445008,37.147616049299856,32.39829646699261,32.97586829960011,28.612831139994814,31.133979178660894,28.587368945752505,30.43953289752716,31.670574590170236,30.7015338856154,32.101736262707156,30.113361173006652,32.6045464797064,28.0989738169459,30.634312053040727,29.17613083250836,25.27563789187735,25.564127944146374,20.795745585960038,20.950210458549904,17.80405804719975,18.00110183739649,18.822476133985447,18.65567049438692,22.33924831311046,22.650863071243844,27.47009756360975,25.86112677387847,22.90243187143033,19.943979730072314,16.93735067964956,14.967864910809817,13.109107844492678,15.004092037977108,14.755510926147313,18.375527621542883,21.14095477362277,25.919081632284453,25.062258151298693,29.613352509584193,30.09360421710645,31.21132739219901,26.921557285934103,23.03221392778992,20.410301765901032,19.283047788917337,18.019831682792663,21.26743586730733,22.909331752032962,27.784167500216267,27.30522248509859,25.007827816702857,28.25156291897573,27.027023982214732,23.87047823217974,23.34633372936717,22.960449462083442,20.496806719012934,22.085945278819292,21.954250391766646,26.143439662758947,26.229235009787825,27.59890966682353,27.8635608608459,25.714121238907765,26.151240479522922,26.63801247389134,26.03208401284122,25.32200467985741,28.41413572573732,26.381418983191338,30.93339585273473,30.49810493764845,27.799329974413055,29.748838265437826,30.852789103309814,27.87099993898703,24.709496507295896,25.429839513001284,24.213713870734765,28.13708050999511,30.049126924885694,31.29146995058298,32.316770460638025,31.10266718674671,36.229131589360804,35.593365591100174,36.26185197004376,34.992471876056605,30.7006452118777,34.55526026288238,36.65647353153655,33.949030191912385,37.0726607481413,35.98912854495064,40.52915189055961,38.92490785123253,39.22833623358886,38.92281737382124,36.06163041625159,34.86899828728708,32.45776805431679,32.86493102867208,32.92727618638458,28.136633964402467,29.574367604902182,26.893347568909913,26.126490231311692,28.429218577300144,27.236188457935537,23.37414177515301,23.83572773319864,26.53167527638237,22.585151932301905,18.95643640711782,23.257280860212404,25.360040081771775,19.25384608162509,20.071509760833656,23.403950047560773,20.968836271261797,17.55178244150042,21.499267844431625,20.85378719570549,26.410822845171246,25.840004516404353,26.304493426862575,29.512333548605724,33.937328566597856,36.89381003915764,39.323335564786156,40.682392343627704,38.50002853812021,40.62581481119573,38.086513333643815,42.02799577926939,40.97361015927372,34.87902928252684,37.63871390850695,40.91505978562415,36.79729598454653,34.58477939471984,37.73536723752835,37.65646449440925,33.35788769525404,32.40034123521397,29.49745670142082,31.895141068882864,34.79665105325385,34.003175385053,36.13642754929807,38.538758818134006,35.95091295987755,32.223492306955514,34.11521747686681,34.55363572539304,29.876571009410842,28.71602358746012,30.858719096023098,28.891440210031544,25.79999609762795,30.353659982771834,30.746474329058177,26.163238776350518,27.66146498591685,31.607902450286346,30.533471109405383,33.31764999171237,32.33096908192037,35.89207564968438,34.3211654867138,28.887876415528925,32.4780997382895,33.81891563905512,30.5956721740743,29.127846369116497,34.90127012934314,33.615065535175205,28.354937744846264,30.722167670509812,35.33529211101024,33.0662792464929,29.262537592932123,24.58837261336678,28.340016146270923,24.04158072320749,25.03619661431535,19.704529583727282,19.76414909655844,15.615350607796067,14.840952780154128,16.661469114460846,19.82341885120417,20.46530629500503,22.1366831487975,18.44150311812057,21.72995132330962,17.663140327419896,17.29394094032832,21.64655262676493,23.57337027169747,23.19015759300918,18.35690861487991,19.15817421838091,21.244852860491136,17.851607685727796,14.502047308193546,18.373282571120857,21.187038782028612,22.839425274358227,23.724932458448592,23.995809972793577],[15.728912789389886,13.994916051863093,15.018816399761777,9.818547832771344,13.995197659702463,14.900055801506124,16.545812651180444,20.876173213010556,19.910401068055805,20.825272766961596,23.674634477364243,26.63943502617065,25.840539846451716,23.667713980603107,28.856406004137636,30.305835542777604,28.011096349132185,32.12295932543597,33.514002182152865,35.956285623958486,38.82912894747141,42.49553673648132,42.223182796089375,41.02326910062909,37.93926125379904,34.67740413770451,33.29523744521083,30.097513201081632,31.826579732293595,32.11618095616296,35.56957644638206,35.327543164017364,39.053191330992604,42.40943271737897,39.84333031802804,37.56425884279618,36.76799354598409,36.44244408180289,35.58321084701116,40.74354161516183,37.525884660159434,38.85511314458056,43.099216948070364,41.944572562127306,43.8393988857071,42.5027691491673,46.35725212943393,45.558071622041204,40.77770343639494,43.82513648974915,46.82944246587061,46.08924403107052,48.62355889606126,44.29212314433822,49.40887846677344,52.19276892460062,48.30815686725753,47.630448627183824,52.46064012650695,52.62847472813517,48.34173966765321,50.05268774198029,48.43236595693796,49.7814745510142,47.21968510803475,43.79847845781033,40.914622102661575,38.4027261797941,35.44823132478285,33.93078040764789,32.64676978762809,35.008764805448635,37.35633923100193,40.29182146121019,40.09591562169112,46.57647694645499,44.839088753943344,47.943058856135906,46.51783488554231,47.232355414122274,45.623406169786506,44.389087633634475,42.5683209013339,42.51345897905966,39.214186202068134,38.6249670888565,40.54728704358502,41.89160475766378,41.3178551653479,44.89867820197478,42.48495021560302,45.3607587873496,42.178393212435985,40.4351002946588,35.70628859879823,36.26224206895,31.902467959566103,34.64085146811076,32.18858972268945,34.13430658980062,35.271504521395045,34.30506108906402,35.5575143115015,33.49277287775886,35.65996539961587,31.128556097606808,33.474338683575695,31.703902463585727,27.81638466707693,28.49739031795272,23.78454831183478,24.007849450423873,21.146762420361064,20.996437933933294,21.878176667069003,21.245662402670646,24.864736639878632,24.64760312292065,29.512947121525166,28.380902753361354,25.2659216401546,22.59124869731595,19.186698311533018,17.647147360466565,16.272144086560107,17.701771781504643,17.69288105832631,21.030867392630416,23.621158124617907,28.46869022831122,27.03751111303308,31.62773193698915,31.98350642455206,33.563966547315516,28.974167914020022,25.29939749705646,22.09250278895731,21.150209230137236,19.76361073138184,23.25847469243903,24.301905509105087,29.209229040169227,29.210057775468186,27.146707226709932,30.557466280598067,29.74822694642332,26.580202506719854,26.443844403805997,26.18837070151677,23.97624063886342,25.595008813928725,25.633173451628032,29.77472122026117,29.83452805827673,31.289253489787487,31.556118690257605,29.36205441033354,29.712411189568574,30.105513578535746,29.28063465800561,28.19461497812704,31.305937313511105,28.771683763581095,33.420121478620906,32.605785197635534,29.360058874457746,31.29638983185829,31.90486695069756,28.866625105673496,25.90700003672264,26.998097678355016,26.141967945669222,30.417342989611214,32.62062302772308,34.13259669361431,35.389948236638496,34.328525406074284,39.46993608853426,38.564478931886725,39.20576696488135,37.582823667537376,33.43860070096652,36.939267132066384,38.79872329903286,36.05652864303284,39.23582884338463,38.22780433092033,42.60247052927756,40.55156913441203,40.864885685307826,40.33366181640528,37.72811271797065,36.32634821189272,33.96332043262867,34.35850430924975,34.27456975704137,29.551407478668708,31.085135785853915,28.293577744295025,28.071707463542943,30.121127237226382,29.384311247404494,25.545999237176176,25.360338323132847,28.21400467728787,24.60263560670294,20.307765979241307,24.46340766658217,27.079185353142826,20.897080354799773,21.106630451314945,24.497419967695134,22.52264919622482,18.590213776646436,21.935823879586042,21.115736333587932,26.894339844575896,25.639576230732036,26.71926468414613,30.052701025616567,34.41649390582998,37.52418074222854,39.95397256641157,41.6606745221223,39.658142137946875,42.025341101648145,39.78065634777424,43.52758855890932,42.142217575946376,36.142155667294354,39.12580375903908,42.01193982311144,37.6841778891912,35.73054849636864,38.90032945743177,38.291429081877496,33.939305575669735,33.41889961270482,30.66113483860399,33.682810736063395,36.57535556797596,35.868540906892235,38.343298803393736,40.795974350749646,38.498400842578974,34.537370855948346,36.315176945843504,37.09855647937561,32.50944841733472,30.961471248203285,33.2060021001701,31.397290264154115,28.017542616182226,32.307526376733314,32.83271971040497,28.23852195828009,29.27443866617922,33.13926158706366,31.91709964418581,34.871013778896796,34.09974480925569,37.41723132181836,35.507069572418864,30.164862013776524,33.80626876688298,34.71330910469257,31.34854769580357,30.049310301376337,35.61047174067218,33.85956373486934,28.63311603385037,31.20597950653268,35.508162235039734,32.82719300061505,29.008388914394867,24.309541722791465,27.486879744460992,22.933305455903273,24.232165357204575,19.051979275643966,19.976490078251285,16.29121984316534,14.46546337884321,16.551377864848266,19.315673594521897,20.520398530205238,22.816706003787367,19.82528312026705,23.50354665482224,19.876286549956756,19.62604920443495,24.397906417780924,26.24494177459976,26.29239727679077,21.34435444493804,21.731853588321215,24.113531826974437,21.15202096190394,17.285838971699473,20.735895042135244,23.646380990465577,25.07157095064873,25.667245666760262,25.609330628569246],[16.982770820864783,16.29935704475727,18.58936548424805,13.907233281609171,18.78561717416555,18.711513435475048,20.54835844974579,24.55158685913818,22.979994574787224,24.05858377479948,26.423659015702842,29.465231116668313,29.260254790842158,26.590524282743765,31.65395749120964,33.507077681978245,31.470408696798906,35.42094826131599,36.69930845004276,39.548037401879746,42.28786220432247,46.18363308141765,45.7952837836787,44.59476547841314,41.70996678488235,38.238590053549636,37.19965185269871,33.943166762882484,35.55992330830646,35.85886031202759,38.64709174819336,38.77430388315438,42.22221397579584,45.62905940941959,43.39750732485283,41.187140366530656,40.69564352233305,40.50293938307365,39.85512996069884,45.247068658289066,41.87381598574419,42.85434511067153,47.19380756879913,46.09355102571173,47.80300702245369,46.458042205617524,50.37002062024897,49.76279946684508,45.056911162958116,48.26176210446872,51.32489403943214,50.72823500524944,53.13961599419048,48.78686986888638,53.93028865135129,56.54417490177084,52.52126872631908,51.823383551589416,56.620337879190004,56.70160891649149,52.222396675240596,53.709880686309845,51.95846627564897,53.10770644011884,50.74039456645417,47.418297073748015,44.07756752519028,41.55751806137733,38.20866509925392,36.51668059921575,34.992681849052225,36.910941100668296,39.61406843445821,42.823094887883926,42.918549598267994,49.44316031860901,48.151292091998855,51.23525392668111,50.13520402416065,51.11999046106284,49.68518763804721,48.73990235835072,46.97382657521124,47.15852812891015,43.81731290527095,42.99260184776458,44.67854218479078,45.90432431797697,45.03142672836253,48.355862498149556,45.66080563555215,48.17243596012446,44.881641870501426,43.16317660751311,38.469334938783284,38.57681392306492,34.249066202321146,37.504091272296456,35.17863409545897,37.08528067941118,38.77345177710839,38.10610627032212,39.634018375299505,37.81398215196128,40.36586159735305,35.83802310010694,38.23235374496228,36.60550302595381,32.61104440874709,33.1372060301095,28.384168615149864,28.70853623379041,25.524654360033338,25.557652407270297,25.89237064760492,25.348307154348948,28.6661471551745,28.416376208363218,32.76906305409772,31.630292786936625,28.332252109411147,25.79979593989112,22.73325614625004,21.576601605027143,20.390296038870783,22.45187982915416,22.44235738302312,25.97379664630658,28.59206899328004,33.45228563929946,32.10715242465701,36.672897336313966,37.10456005491424,38.62550083214546,34.083716448654194,30.34970767284649,27.217259500739505,26.158337519223615,24.527324557028006,27.901125887367513,28.5091935530939,33.33582361231117,33.268731585468544,31.44359613003202,34.90214005398885,33.95993273058846,30.88545274960778,30.687476560960835,30.581462039435316,28.044382788603134,29.670972557553096,29.072452675401973,33.164003849417355,32.43013335989868,34.05948357884381,34.85829173592378,32.893266757205744,33.661341484894656,34.103253255559316,33.76971518357209,32.90085496454319,35.76593842945922,33.4001068304583,38.062980564587484,37.46241945478614,34.1609970807177,36.27999092818316,36.77358889944947,33.8185311042164,30.84434526871156,32.047306682805775,31.105569312460684,35.36192770342466,37.48004633131275,38.83171685587916,40.0015263184089,38.64300634892209,43.86564109691209,43.15957572273139,43.92777483739296,42.45915906148921,38.34034896899005,41.98355190152279,43.881946552541486,41.10494514741196,44.13629961075325,42.942379876275005,47.360626195716506,45.19664242737221,45.72302374730806,45.23960593060159,42.71681607609129,41.3798403923286,39.05966552014314,39.462938218144025,39.322035212365535,34.59321411788105,36.023117402369095,33.06185491956391,32.83520117538263,34.57285018882073,33.733726281379624,30.040343520252474,29.641548023001302,32.17153031802427,28.495507098476946,24.30474887818743,28.04274313898814,30.346532791266405,24.088041765867636,24.01626470634389,27.01154159954552,24.890974426496044,20.783752677520884,23.741155969258298,23.449956441402993,28.9147597222482,28.14958503803566,29.657209928353566,32.70707830778747,37.311662648357945,40.096438315876846,43.0312146721677,44.90825272281712,43.246217378517215,45.84091190265582,43.85312087057296,47.69360306068629,46.09094742144072,40.28510221890059,43.49999765705977,46.30040848385974,41.90716452954222,40.19893128348624,43.52581868373632,42.65482470581171,38.24912234294487,38.16383511252037,35.22024480021563,38.43869410108021,41.190636595393556,40.19627618096334,42.68244707555519,44.838383087010214,42.68145117984408,38.810454095516654,40.12902396911612,40.837098462993865,36.428944263578806,34.681487867709826,36.487846025998195,34.52271456269525,31.192272544854596,35.26267861963234,35.41776192893473,30.629985384284552,31.728527139616133,35.54965463031079,34.65138382701443,37.942433942430505,37.61771394836131,40.95462416488315,38.616696543855824,33.55963905611576,37.56400294616943,38.16030597614329,34.67218205616462,33.912341139110524,39.35826598790791,37.18558041198204,32.20001646430956,35.20055238680013,39.17634255774392,36.12317293109614,32.445234453298106,27.732114290656362,30.45268431961564,25.713057117254074,26.635051541930334,21.800614292348417,23.250640687015544,19.60702032022896,17.66717948627048,20.301561096828255,22.956882778273922,24.69068366088037,27.042107140293567,24.493194381632883,28.296863156344635,24.78145611166066,24.058809816216115,28.67210119987789,30.14916760412655,30.105927452909388,25.373616046330344,25.235917639821768,27.202952468714837,24.515066657661556,20.404150013973194,23.356114524553774,25.687090716167717,26.886674773436443,27.3349427333522,27.009121748300895],[15.494836109671214,14.119658863587755,15.90797159428686,11.943347218411768,16.759689455330346,18.351067261244594,20.78015666569363,24.996242645116293,24.544832946008828,25.95454540240475,28.835709629102404,31.526231001248938,30.984230361683675,29.055313723615328,34.221145033081854,35.595536299490995,33.3672197742339,37.54241870307575,38.91778615077044,41.24390821956916,44.08889341784905,47.63984247763743,47.30320896458761,45.946235272809105,42.90422491626359,39.808356405145084,38.365729601130184,35.287769802332015,37.08405510462523,37.2738432943295,40.945844801377845,40.43697194183385,44.18304954906336,47.661251289044,45.027123293860456,42.82025121684265,41.78689547174552,41.49444547323959,40.463111809763994,45.34421130225353,42.1910884395012,43.862010016236496,48.00781592309968,46.67708248764997,48.54402389269578,47.00284340988377,50.7837231434876,50.07322777176027,45.15417797415116,47.87016857925391,51.071693838581325,50.246806211728796,53.040601771962464,48.830501579233754,53.94049723077609,56.85301814512207,53.085021605235205,52.525274150254205,57.36615012716098,57.513429470187205,53.40221275176299,55.2820484638485,53.74287817105549,55.126417285061855,52.464339847689374,49.05682115249893,46.31190762907414,43.84664127565449,40.94085793531207,39.45756441381518,38.170074476711626,40.49657463829977,42.88591860667728,45.805497153961895,45.59659341478186,52.06386455936159,50.23188090853309,53.312811591765424,51.77691273637253,52.36368554802603,50.6052904820788,49.149300647971394,47.17121979722911,46.88206880876621,43.704371883419356,43.37035799181754,45.528915198813344,46.86900786526294,46.54827788498233,50.161145861687345,47.87223106825658,50.815385973860266,47.60496629147299,45.76550841048336,41.02004961716791,41.543221059528385,37.17845072775051,39.726523547191576,37.08762337067074,38.60104766770655,40.001690094747886,38.5262192463964,40.06075954876248,37.47225867333526,39.37112988263553,34.626946153827184,36.40897042780997,34.30982845484749,30.240266643875266,31.444425607039797,26.87365691995285,27.845101802680073,25.448851883533212,25.56542585356272,26.992720951172814,26.357840854887737,30.10754752059027,29.736141473782595,34.78912727679224,33.80582618534425,30.71695714335132,28.058167965946513,24.523748208122726,22.90296964273885,21.315439324370416,22.14435371886191,21.27378839626831,24.56744125422505,26.566286355835473,31.570406108113275,29.399877178005035,33.83819798304655,34.53117012403963,36.55829580583556,32.029100341041655,28.805568413059035,24.863103912377415,24.82741661457655,23.92159511725002,27.652469766047915,28.718347969992383,33.62974171662474,34.02438374500639,31.91956845504169,35.32204206608718,34.718745353591366,31.493298834860653,31.315264975000463,30.72488139612575,28.536576400589865,29.59042178935912,29.764587596664207,33.49480017494545,33.39201531342397,35.386088446080684,35.78885961631034,33.899872176910726,33.9236390331683,34.7490708049269,33.43384678314729,32.49510992815879,35.99275056301041,33.268271179091236,37.87753769888111,36.586838543765204,33.08122838538593,34.537004718017926,34.758630357770635,31.389778512808807,28.95812804645422,30.117578103106027,29.870176866476157,34.280082037362156,36.67615065557649,38.42911748447882,39.615592979425344,38.94216410899385,43.87293333331852,42.95077987458477,43.302444881371464,41.554439177842305,37.16212517091935,40.294684386269495,42.00497810950336,39.471338135217025,43.089608856156595,42.46708659956613,46.64599130954779,44.43792863563058,44.3872854437702,43.4803324848447,40.98972480422435,39.07591324978328,36.52375913651508,36.580102109178625,35.97505712870918,31.26871411518207,32.446183663129304,29.210526653188758,29.53662755350968,30.776530188655567,30.508888615817245,26.962073483043415,25.735125059983655,28.38240688570815,25.254067768280194,20.380537222886602,23.878328309814787,26.87430783001872,20.774367732303386,20.058868841793316,23.23654224870648,21.947174781488265,17.46237999137293,19.737526678816366,18.90868342377166,24.642162301675924,22.932052580496293,24.810877018811762,28.043875771034124,32.40928352420704,35.46530108818795,38.14658951333851,40.298705802788234,38.74712386177281,41.533869673089136,39.88138440610769,43.46204484897587,41.529954472991484,35.88819300207977,39.33192577719846,41.724623033877975,37.19075778380088,35.80176025022936,39.21973375951029,37.863969684931924,33.43871979255781,33.9669075416866,30.964866623663355,34.85078699443383,37.45701585165157,36.487879817965684,39.403867183353384,41.62257065316077,39.93734913883551,35.73698397228879,36.93518868918327,38.21351351665905,33.95834641290804,31.67401179045021,33.81465420270962,32.24945548143988,28.48290175748787,32.19128300745212,32.8116818551432,28.276474719873985,28.57525185604154,32.22454902094635,30.920160405777697,34.18718987682776,33.95147827295031,36.91889825344639,34.36917297099197,29.39326402558629,33.28885074160594,33.48350791131888,29.93903037795444,29.277102862347373,34.459620369829274,31.979496955648774,27.07607345803747,30.228671333496976,33.91205516971573,30.643229554156832,27.011318145728346,22.350712405338445,24.789711095596175,20.01734939722409,21.051850826010867,16.34907381885627,18.326584267666156,15.330978084492767,12.581805114297303,15.308869544149424,17.671161385648894,19.827087824294185,22.443550724235774,20.78934920985965,24.945741445419902,22.244373651022944,21.395301657413967,26.51636479760283,27.870327889382544,28.7060350365923,23.771607091660957,23.10054696338242,25.79569560175682,23.905247366232288,19.097626145503664,21.562269516812584,24.531852857451963,25.55005194094592,25.70792112256603,25.202379762390418],[19.019228021179536,18.21321375885087,20.456267742812855,16.665381944048146,21.469680392835002,22.922525907226955,25.252409063153074,29.444175676316437,28.624415911924974,29.850798848259824,32.530198294754236,35.42877381365482,34.93801889701458,32.604970597250194,37.76232586410313,39.36103570640683,37.035036098966906,41.01146284327646,42.035437496448466,44.65267391923542,47.25384663317916,50.92003991670159,50.352330346658555,48.81713004261146,46.02672882487867,42.87678143943501,41.78652757775144,38.83797478620766,40.806119953478316,41.23393551475605,44.56579214761063,44.438545079007525,48.101970385535715,51.481806931829,48.964231638239944,46.62364274504576,45.87575308354333,45.352143282603286,44.30654024572907,49.27201166385765,45.80267493626483,47.36934434220488,51.54308970816972,50.05727660808852,51.65350653052035,49.93781415054063,53.73620066546332,53.33309210219599,48.40054447947582,51.11350485830346,54.54580213385325,53.91692601196115,56.74006322064493,52.62362608976477,57.851679640413074,60.553496703332556,56.65936025892675,56.305985153087576,61.12211106227833,61.01884028835115,56.85702351650118,58.75157120810711,57.26967712158957,58.354039856844665,55.718524921701025,52.505172730369,49.431112824937756,47.14073018802351,43.88784238607923,42.50758903038439,40.948284241904524,42.98237365676242,45.71933534245834,48.65714992884694,48.823607027440836,55.32077593532602,53.710991760084454,56.9249245359584,55.53013781511245,56.16126197276135,54.638364690420985,53.236772892750615,51.46568922116342,51.154931851156014,47.84103407861684,47.516673966731744,49.456060034163784,50.965494565671214,50.321914024260025,53.98529482069584,51.474556425217294,54.21506586415081,51.02907196091808,49.33512190040966,44.61776112443435,44.94867604515807,40.5988934373784,43.55586816733308,41.07181007614311,42.74465082451936,44.24902818993195,43.02443829313343,44.506937781375974,42.09764329092732,44.00388862727157,39.30276147509491,41.11355461375699,38.947562162596704,34.92018813080724,36.17925189233074,31.609015818994667,32.45256032439968,29.95650196744392,29.869958505910205,30.961067596727375,30.085873987500936,33.627405948310674,32.93556334651234,37.724156956956094,37.039575991464844,33.78044861428242,31.367532960335026,27.7800104345077,26.58457505585816,25.382708597286218,26.39838972461126,25.923555913891846,29.127373956844075,31.176629167527352,36.15110674402932,33.829219957425,38.26794686666701,38.810962888662864,41.02830993896653,36.322868771331756,33.13667502874986,29.081746527190372,28.878660114775798,27.67726018830306,31.40484493263158,31.860683328812364,36.69290493704741,37.31044791148076,35.494566700827036,39.01722742872741,38.595481441116924,35.42016646908236,35.477328615394725,35.1201432413952,32.93896942613332,34.1760115054485,34.15748062509515,37.95735635720003,37.55007673548632,39.538451668999905,40.12819146713703,38.21765620638692,38.444894647891964,39.11797533479654,37.99126379471659,36.85612601293521,40.161174300257734,37.21802870607699,41.89454509140352,40.544053618235566,36.70674413349735,38.330447050872394,38.20530842080064,34.9629390680636,32.599000041934175,34.04270742550238,33.86420642362981,38.44275639092387,40.949866856679165,42.761095205234334,44.09143786415078,43.29992254844472,48.3350361734055,47.3068643032103,47.76452410982723,45.85613198675961,41.65448680749765,44.67086872381634,46.242572216408824,43.63195726889571,47.10472250458731,46.36974450511312,50.469418058913924,47.90846686946481,48.04199253023572,47.067457348981414,44.812319525626066,42.89699183123575,40.472393210508436,40.60294361336167,39.985147315776615,35.40003910600393,36.66918589932865,33.438704303794424,34.03231392771934,35.11470570923345,35.036185707395596,31.5575298381939,30.051817276902476,32.65146928307269,29.7007630517693,24.702854504918562,27.911526281055252,30.97828421615951,24.972032189615202,23.91878853000151,26.85162422250587,25.760640139940325,21.161767349563096,22.82383697458144,22.159135190867538,27.63444909201283,25.70116707656347,28.12036649956922,31.223848613071986,35.52324317569724,38.49262106313154,41.31769014751778,43.73915844260409,42.44421936191536,45.4169278166915,44.0282716641137,47.4810096630998,45.30388346043124,39.84791371447053,43.433004885729936,45.52785201922977,40.897334045259456,39.74811687519937,43.14489625069697,41.39220196369566,37.001505993996496,37.866792192552886,35.013553283766015,39.21433780284204,41.7808692575755,40.82085239515054,43.87622504352868,46.03045456766591,44.51042047656552,40.26784770903606,41.289888808697526,42.673969630833795,38.526986648265364,36.07065679421775,38.08304115343547,36.53181753596131,32.72667807121696,36.19513662369634,36.71727083680284,32.162762054053786,32.28379194230766,35.80312329767864,34.57655437340095,38.00717763784637,38.04423497560221,40.847170812893,37.989766468839804,33.2647095151074,37.22800056235265,37.05358535365745,33.45452992291459,33.08012516266959,37.97525232044215,35.08007333698376,30.416249394458063,33.73767281270096,37.01031806819142,33.37503275700969,29.888236531898045,25.40091178870875,27.061367969262673,22.229357929475565,23.355810658112027,19.256641303012447,21.925302837794664,19.403699469622897,16.240194269641684,19.029670179267747,20.86432439203471,23.42605953517389,26.374393583737888,25.194630979901923,29.42907493636052,26.879374884722655,26.08853668561689,31.231090482715683,32.48433877298819,33.35469685468834,28.473838193299095,27.61978929681617,30.200711103222556,28.422965878370743,23.547197248007596,25.73970543264641,28.43025390809971,29.249991144623536,29.215217724372614,28.42752372060671],[16.113078410438614,16.080402850875203,19.278901332090523,16.255707322729673,21.776826994345207,22.274854398735023,25.117234978368018,28.93196250067137,28.173535932335316,30.060129895591782,32.55339276375758,35.075393661674305,35.29945268112488,33.17129058887847,38.20332128896068,39.86690832526698,38.05015213267227,42.23790709058939,43.770298001636654,46.33731583492022,49.221810755036984,52.947103547834644,52.630432715674125,51.36095178012492,48.36779753618452,45.09052871235727,43.762713051742004,40.516890003642764,42.05895308071015,42.02945143894407,45.234758394997016,44.77736695536991,48.25229483793253,51.93512556068552,49.60421515944968,47.61648430072981,46.6501317122314,46.73563531866001,45.930593846787836,50.980970885629496,47.892313510045206,49.31758470327704,53.54762278412791,52.35125480162365,54.20056664228841,52.71546025352548,56.54030202962846,55.85743346518183,50.98192480258253,53.80899319160936,56.97296110686656,56.14580491838944,58.84899021412666,54.558858974253845,59.61539287025007,62.535398837347714,58.71963093735744,57.99834310411422,62.8383138101453,63.07668856421171,58.803657214210716,60.44503707108165,58.71073383054726,60.10228376407207,57.627603570853914,54.179084738353865,51.16184889021264,48.546033681221104,45.44365075342841,43.663965898744664,42.30600511235383,44.31721849441108,46.869309058488646,50.11582615000325,49.95384837485966,56.4606535830304,54.979065025469794,57.91992046159452,56.64528567172128,57.506086614511354,55.717736677497925,54.51699953526355,52.37270261964475,52.341972627228294,49.252863067438696,48.67973853937984,50.80161101531589,51.846096010176076,51.49492821539139,54.753848972625654,52.32755439548922,55.003468999487744,51.61458667329514,49.64255490184532,44.90597044262997,45.01265754314762,40.677244112349655,43.456394518424496,40.77800357935983,41.94963158393551,44.072536652503096,42.603148776353876,44.64109023042346,42.05638404305277,44.38819451887784,39.55375672384306,41.21628454380343,39.29416692360567,35.030975554732606,36.09322567156818,31.532054448241762,32.89708206777436,30.253922025089494,30.8193507629337,31.980158239684,31.643232880329027,35.27498286567829,35.09008647850127,39.82298781929077,38.620574903466974,35.44143082310817,32.73103110002608,29.56595010135651,27.996256670794015,26.246954327651093,27.61279714706524,26.30885810451592,29.919081668203436,31.80443723019641,36.857189724080136,34.77965041646766,39.09979847051998,40.10748680656779,41.99980429916206,37.71584318125316,34.48520593363877,30.617142400616984,30.705807059402733,29.798816901748832,33.45506969884197,34.491559716895814,39.393425059177055,39.627217316275264,37.55579013048812,40.94331273688367,40.06911238258747,36.87656712820681,36.41185463208214,35.728247039797566,33.11385192395094,33.88687645168316,33.44112863088601,36.9074443292789,35.95837655214558,38.366350337328534,39.35009339377362,37.87606962668532,38.1702973853168,39.3170076463038,38.341380363282234,37.8849456273881,41.347576023354115,38.956358803110845,43.54502248248968,42.450304372550505,39.07230865415473,40.51168498243516,40.764721161733576,37.34122103524106,34.96596287762672,36.05110662129205,35.76296123412264,40.05061308988469,42.298133482350295,43.862543678769,44.79338359367894,43.94137007734915,48.84167286256017,48.268278520504744,48.609761801173526,47.16468856671618,42.56640758335532,45.88762405312085,47.722198860327346,45.26918824413414,48.943933214058006,48.2826816019231,52.54228613581813,50.42103084766837,50.38706423838678,49.4851091076597,46.94538266733009,44.97603842339586,42.333528557847785,42.24776875928659,41.43096268003104,36.683983862572774,37.523732850577005,33.992017795725694,34.214522240086744,34.88712054931809,34.447828563757206,31.215428231173828,29.696489707529214,31.74480485270559,28.61872160929438,24.104624869702466,26.838956966986256,29.269672756285836,23.314602446298803,22.231194350023245,24.691116046269048,23.335159393209643,18.83786356205916,20.377885622255363,20.377143012733985,25.342453095629654,24.576644458370765,26.881185665290868,29.545967444207772,34.17841332841185,36.652773428989434,40.05251882967741,42.37579755635949,41.355169081595825,44.433973931484125,43.200916321483156,46.906563815866704,44.68270699351118,39.439058861911874,43.194914779893395,45.490975672695114,40.9652259800556,39.96880385531399,43.65013315769414,42.013469321284454,37.566991200201464,38.77956743938309,35.37618775866317,39.44856350571915,41.74800953276148,40.27743575821048,43.188331506237795,44.90747753192629,43.53046915568351,39.47966134236774,39.93223495723761,41.16400075955562,37.26673124664746,34.645034724443605,36.1578196545299,34.4762784905786,30.78548825800296,34.04229287117736,34.206113995690565,29.56422584445211,29.80599552634568,33.277860945910646,32.42476620701365,36.095659099962006,36.52235181508415,39.453263856424684,36.32464541324741,31.890302889465293,36.24558437566354,36.008219164302865,32.38003039025497,32.56826076621372,37.5034691413889,34.523649136581454,30.13653211018207,33.8719946838715,37.040700591956245,33.39475116652755,30.111156680896602,25.588547969717865,27.508420472675216,22.772760334082157,22.88181566079013,18.94689178802026,21.29017725628179,18.45314202171781,16.10381907435652,19.366844588356535,21.641890678752194,24.302372361624347,26.62452915339695,25.572683167827996,29.781063282066725,27.329749896632837,25.70838036482489,30.534979315191112,31.298057899148112,32.17672086183175,27.587014350303107,26.112088205002284,28.32127642283539,27.059395900953334,21.908821479629136,23.515042700681626,25.757981641927948,26.402490381790912,26.295060876596203,25.427053346618894],[18.45986095488241,18.672035596563468,21.91370768883677,18.0824584509554,23.501850062812938,23.16140576678474,25.45749360307489,29.202581757368918,27.610766920461245,29.083872606781974,31.198814836107307,34.05684101805286,34.37443338051503,31.64378139337259,36.578906964162435,38.59419403559675,36.80712320709687,40.73646363132006,42.038545294607886,45.02072676471757,47.725572448812436,51.69410375109266,51.25729055259508,50.0314487560976,47.23704264728236,43.719016239248674,42.780552665248344,39.49885028387792,41.016712060584865,41.19472415222763,43.722506378708324,43.85612968441725,47.12731044496273,50.663200021468086,48.614413907620275,46.53752891796621,46.055051492791144,46.05071619292368,45.47229184181083,50.88059789058183,47.51514825411417,48.45003260912281,52.80516307766693,51.70256361337178,53.34663203922583,51.94374696632085,55.8560595073621,55.34263028780724,50.62032899661368,53.78173370183436,56.92324165999651,56.330062385380735,58.77566739816792,54.43033590998408,59.56092474676509,62.18240633193579,58.147407546582166,57.42767834409464,62.219188383590954,62.3039759709767,57.779697313503114,59.17914628494261,57.35086496249118,58.45977970649913,56.18263512614369,52.88195887842649,49.38003093348649,46.82659957808248,43.33773173863975,41.51069278709837,39.910519280111274,41.56102799330829,44.4169456204024,47.8010732144398,47.98633969593367,54.50826242705089,53.4401146946492,56.449363949239796,55.497345446451746,56.60890129178163,55.15304983254386,54.295359675014154,52.420846072124505,52.675046958854146,49.398790976044104,48.522930973250766,50.226848977337674,51.308664374933485,50.44504816148063,53.57395543798541,50.80553886719954,53.13304446479285,49.744855270968586,47.95139705984031,43.28627383327902,43.101553969117155,38.823674206692694,42.201966640277675,39.83206964265974,41.422649792436566,43.6209802701952,42.839336146812805,44.72838722339251,42.77249320883855,45.479836754435325,40.83345134724754,42.99548887999364,41.344122488603745,37.18143137456761,37.81075469204452,33.095065415427094,33.85402666069169,30.68721953960345,31.015748193352046,31.371644590535833,30.954495209347204,34.22087472892204,33.97843664492698,38.162765044580155,37.00161040157946,33.6626723102635,31.161298578305583,28.262142506994834,27.148837025834492,25.842682861124675,27.955302979814274,27.471016258398585,31.148621334267037,33.531405710108466,38.487273858394246,36.922533338671066,41.40228944402748,42.086012307509776,43.71158511632235,39.274493441630284,35.6735731017187,32.29728283236762,31.58582209763155,30.087361601762204,33.51695041184028,34.04852249541168,38.85674802913052,38.8663150396489,37.08556570278688,40.54676498374887,39.553345081058886,36.48683300713097,36.15336592473738,35.91449822831905,33.16461292863176,34.475726038817584,33.563121847953965,37.37250712618737,36.060967060500936,38.08570571056163,39.286559137904604,37.65554191052808,38.49573151904447,39.23134675900317,38.94754745625879,38.35518762110661,41.30642092489461,39.024181160346515,43.676783800448646,43.01589279321208,39.643255835904945,41.62389428497561,41.96215130919219,38.875993108854075,36.10042190082386,37.329194377917574,36.57568394205128,40.84958393893008,42.97299134573841,44.31227085732242,45.34255813103635,43.99242914007251,49.1465686680484,48.612865501588495,49.301333205856835,47.93298432491439,43.64254676966666,47.262650420602,49.16611146659512,46.47873064818055,49.66593895752217,48.554746245663765,52.94949811539307,50.72442229435373,51.17535458060972,50.56518948518857,48.081013939528674,46.54814527173152,44.1290717713207,44.36254640424948,43.944535963750425,39.19341938625745,40.357735813978216,37.09179704143536,37.019347655824845,38.199742390218056,37.43854580159188,33.994595459599104,33.08496692587168,35.245788367275416,31.734937371322367,27.518464339294646,30.64594015206788,32.77637656119508,26.638491168215605,26.061865560364524,28.57584871262713,26.64854683101406,22.39431273451082,24.55960050471358,24.725156237891447,29.698374385309222,29.2831380355898,31.3132017331714,34.006591315217285,38.73849625477642,41.16726275731257,44.59221275704454,46.73023017593271,45.52958186849076,48.43575182936911,46.887232159875886,50.735295515144465,48.77327646333193,43.306785527947994,46.85307497819294,49.41658030809766,44.942557937695575,43.641750751412786,47.18997323561351,45.88336715949194,41.43560146942755,42.074026057669144,38.856534174102585,42.49492871007191,45.000878721020065,43.65880864583911,46.298541959944004,48.1042890746702,46.31929641098064,42.44590644383573,43.162298335506684,44.00425115069032,39.905713105279844,37.73038566032533,39.14178036507225,37.184811761327445,33.78484337779745,37.39847067417519,37.30455598843193,32.48410773156148,33.31918278709349,36.949053558428375,36.29837322578624,39.92122291498331,40.15585617676707,43.348537685545345,40.4642169285221,35.84580381109349,40.182235530839385,40.285936851894306,36.69266813940045,36.60700338312138,41.777664797673616,39.06339355762098,34.473759655176885,37.97639056189162,41.446525605564474,37.964232322942635,34.54029229956873,29.927802514964384,32.055537622667906,27.26696530359287,27.666223949092245,23.450121640895404,25.476243043392124,22.176661217710695,20.085562963338077,23.172444322878427,25.60942389228592,27.9349656719995,30.300069382898723,28.508175397690575,32.526812762637704,29.43182820766164,28.143020089026194,32.74047335186024,33.744213050333094,33.97196751959844,29.43100221073437,28.52229234187965,30.306634956387462,28.31423364025097,23.734902138518258,25.880304342543624,27.766788274845567,28.59760351364167,28.739795499058932,28.043795244000865],[12.737373521277423,12.798559382688714,16.24030526955257,13.04081702919596,18.84236044639466,18.442108716939234,21.326486505990655,24.946900569620528,24.082843864481074,26.212442203937957,28.610403307246834,30.972598129134965,31.494405518173377,29.48841882295299,34.43051546538107,36.10252466796996,34.580146634473465,38.8771415775795,40.76683268871329,43.2715854327264,46.36118882143495,50.12136114004095,50.022041902331175,49.00753973106515,45.846072455510395,42.46239490191103,40.960476678205296,37.4961360813448,38.7242765823917,38.42905643482825,41.535397620000715,40.92364065006056,44.29807813172887,48.103713633294426,45.88056842193569,44.09100130165433,43.04760831640924,43.50290423697561,42.91076019823095,48.08552292559967,45.25770606318605,46.4743314465332,50.75036493134689,49.82588247306292,51.87463394253311,50.64803683917451,54.499701967767194,53.56194765544868,48.80235012379175,51.82548789170829,54.69725844283737,53.763345708109625,56.2689784570092,51.827074328422704,56.753211541350154,59.76693386751611,55.98114388916922,54.9690609418832,59.80607292393109,60.28923496635042,55.90690575953057,57.33271091134189,55.422830656669376,57.02955829180674,54.68352622172172,51.071981946118804,48.1183053121298,45.279234501100134,42.33768937739055,40.312813561677295,39.140280234087214,41.21940995056215,43.554571778923986,46.95203943282693,46.527557461440445,53.01526341897397,51.589945965506665,54.35576662514814,53.16147629683479,54.1859226990562,52.27506807782129,51.27193760594742,48.961421636536116,49.191720905150234,46.209513005061616,45.388287198097494,47.54362813099819,48.2977323801697,48.06798371718462,51.0755988357557,48.70099874471783,51.35734966982984,47.8776625323364,45.768167225098715,41.03308175228175,41.081615392443936,36.760840526388186,39.41710994149365,36.67942533062175,37.73038662035103,40.04810487546493,38.61927511157558,40.843718162884905,38.36771070782505,41.05380516508498,36.24431475730654,38.08565611442583,36.46821341294535,32.1506658260898,32.84295562453764,28.216930107774647,29.57714667022302,26.6788909208573,27.565912602575068,28.602092289705933,28.637835319807856,32.26987116873562,32.501124606944465,37.14038422830216,35.5344659699301,32.45589161375766,29.54328463126714,26.7300175202947,24.911026648389537,22.85610114580553,24.61854631610816,23.08531316628206,26.957137821235982,28.98758025763181,34.00923229961364,32.44210612378313,36.769241789600926,37.894376867627486,39.35969311381987,35.3232714218433,31.87519046318041,28.4706986200535,28.376744205901055,27.511811143029103,30.991985310338233,32.450803089498464,37.36331825645658,37.177209540445695,34.939606952441345,38.20244841612011,36.95860602819449,33.79620972822991,33.00393706397286,32.22937025067054,29.36108570857199,30.065097504372105,29.346057037109375,32.80402835923305,31.697115115915025,34.099482381885565,35.19702389361571,33.83560111468217,34.270173176254154,35.524363842649116,34.81632446185665,34.724059279452284,38.12677319423064,36.18676212469084,40.69929386088425,39.9715641222042,37.04111557349124,38.55092043404036,39.24612741692452,35.86001388213888,33.24327466669488,34.04437737952821,33.422725502924465,37.431288981034655,39.41643042274118,40.71825482076938,41.427613935845656,40.3961237679948,45.27921871197165,44.98444953208722,45.371866582589455,44.27339933192914,39.54889412026809,43.220249416036424,45.28951272399956,42.84589386918662,46.44405604400362,45.67503552317954,50.1066928528974,48.37331646346547,48.377699721632645,47.70415581529798,44.92226529295036,43.16694607845082,40.47800406260722,40.423828550795996,39.75923252217811,34.8907132028747,35.66316796495247,32.18389560237756,31.87914903572445,32.790326082675705,31.86919942814373,28.582294409138804,27.642084625033203,29.54733411324271,25.984654999509313,22.001663376172214,24.967949889403393,26.876041357521025,20.752864283438104,20.259207334209396,22.7459624294321,20.732506553412676,16.503714232147956,18.949278834761135,19.211442256031436,24.17546136753362,24.27262876115973,25.9079658304529,28.51407647415728,33.36857477285159,35.70377075826061,39.19295293137401,41.14532305514324,39.91042871952499,42.768188824963914,41.20144000816319,45.17428582519894,43.28682821208769,37.86469891439168,41.43753527849787,44.18673164371955,39.82546932908483,38.53048627570152,42.24035261327522,41.14973140306775,36.68291168892247,37.435659301436914,33.83417816124767,37.33928116857634,39.67054018682645,38.07283473462429,40.65430424813336,42.305666565512894,40.62277124950631,36.78763064464828,37.30787445639654,38.172407707003714,34.17045402248109,31.878016426452195,33.237813037624235,31.328669069074138,27.87458071771298,31.467216957594832,31.424489831833313,26.631359502509113,27.43467435570178,31.107645151771408,30.450011198216654,34.04768427779133,34.28444122296126,37.548508610437246,34.721684067320126,30.092438666780463,34.52125907816597,34.76082339256261,31.202364851077153,31.21606353212599,36.505329782434664,33.997520707673786,29.43451000912989,33.03035957958997,36.63593355983955,33.393415734467624,30.012325524409047,25.338133625966666,28.043914464774318,23.407657411787763,23.255667957024166,18.806174380788374,20.245627816147294,16.63551774606149,15.235270692569811,18.476300829927183,21.361547536767844,23.524998462282962,25.32827418853956,23.555995675338607,27.53168712083079,24.667482648312674,22.81515733370081,27.321956585198006,28.084836308960483,28.56736650759607,24.090050450451994,22.799061797897394,24.69293417388099,23.146519043087874,18.202547258166536,20.0971343494322,22.203064708257244,23.079055695318928,23.27489910853821,22.740948881852493],[10.824307746466454,10.445914991751579,13.493578258276052,9.7069148798262,15.459222085398114,14.254993344099367,16.980147830230866,20.541450009730767,19.568732551707896,21.7657167810042,24.17571831759885,26.478515170071216,27.05007631128043,25.175131755401043,30.07601467875692,31.695036381591525,30.329183579133954,34.7072293370891,36.86750111777658,39.27033484825882,42.51788579552398,46.27139844080317,46.3509721450692,45.54818683628793,42.24721854681476,38.80990218941667,37.14740806676308,33.53078299759894,34.53103093467296,34.06739864884682,37.173689352334826,36.45063725785703,39.808707815622675,43.65469372934385,41.45552593509654,39.771229336541325,38.677079426696494,39.354031228797005,38.9149015964512,44.17788125514741,41.551166925877695,42.60332223123581,46.89944598183456,46.19170460302317,48.40457409990375,47.40701249673305,51.264701488229555,50.105458483712134,45.4681065750618,48.65220862589908,51.26187234849809,50.25536706874682,52.58184639788052,48.032292203751396,52.855059164305715,55.919872318615695,52.16240463843789,50.93617647209238,55.76472345711291,56.42534782620169,51.97722518493281,53.25959834302381,51.2450217846367,53.01701532045399,50.74923459220322,47.01747429071623,44.16892406095884,41.177379839677144,38.41873130331756,36.25478029900339,35.26258830038937,37.476640069352264,39.57845178667073,43.019148304716694,42.36581239256777,48.82596689877201,47.37386934707742,50.031875002645194,48.855232193196656,49.96439270880599,47.98078936949574,47.11008083464296,44.72542126089621,45.14326392367105,42.21981070690634,41.21125654912408,43.36956077644217,43.950923722100924,43.79630302133839,46.675555125158496,44.36075420449017,47.05780122939016,43.550301402771254,41.3702883650193,36.630242160349624,36.739624377779734,32.41636534477301,34.93670745394246,32.1748936608896,33.27522904721431,35.545205464507305,34.22121746607272,36.44453324933725,34.134248559201225,37.057745006979516,32.32665273162243,34.42717298371361,33.07905093971934,28.806395565112602,29.130519142420145,24.43321070625848,25.58476071881716,22.442015240874024,23.497250402412448,24.403080550033657,24.726583291235592,28.349491532517828,28.931154166880265,33.506556729094335,31.586730933280002,28.63040514849875,25.553684357055385,23.025043885253027,20.9766791446956,18.684076013248294,20.789167412558577,19.2503723238333,23.282925713387254,25.537933911333344,30.471639550324863,29.432867224216682,33.78340132252668,34.879480906024085,35.95279748250236,32.08293411096422,28.41410705475291,25.530864524010198,25.136415038217102,24.26472016944802,27.531539736570863,29.351803618653058,34.22622949767211,33.671177932513984,31.30148965375263,34.44086823351174,32.9151916360347,29.790338144072802,28.77482558655467,27.983613478456476,24.97552631244328,25.76652997877419,24.926310623074354,28.52566745442549,27.529458476349145,29.74134044380597,30.76862422928694,29.35106742856462,29.892573421274864,31.10496365483699,30.622133081116285,30.720257725224933,34.019004039407136,32.42877167690735,36.86598042118777,36.46883816884633,33.939177173205735,35.559326232813355,36.65105940577446,33.381850019206766,30.51776851865803,31.07871018387327,30.109399850987767,33.859098491441834,35.619665258630164,36.70471322313325,37.2940186554312,36.09764987152722,41.00326490936209,40.860981594173474,41.32888530834408,40.46693493288553,35.730934714709434,39.69031775267576,41.935733349700115,39.46410432662109,42.91357794668484,42.016780209408225,46.58125638920306,45.16505218089431,45.24517589284451,44.805466046200145,41.84147916748848,40.346712767965855,37.68266883901447,37.73060421911324,37.309974474788326,32.391801082079795,33.22892863250192,29.95409244532772,29.165631388265236,30.519039533093633,29.18279829991466,25.752283252217648,25.534716538239426,27.48182189574095,23.517074526728475,20.043982463589703,23.44093857612142,24.988341073239827,18.76174371605584,19.024445150093598,21.704485498361382,19.106133754049992,15.321352831635963,18.778761171572928,19.00165244206459,24.044963592450795,24.56761410513047,25.474782336524537,28.155316470000617,33.03744377469859,35.40760176180963,38.709141358552,40.271827536492054,38.689142740701016,41.230222853753496,39.22777768428195,43.37573312062918,41.90128195511627,36.231367730200915,39.497608861239115,42.666744929222396,38.48391485297953,36.799315305244406,40.40653107695032,39.903659199592674,35.474694237833454,35.567628927896024,31.972528310178703,34.83381135878988,37.29102969341785,35.763375539148,38.00753377048081,39.75996622204752,37.667967400996204,34.019813272144674,34.86973011468759,35.37192430054328,31.15230300062934,29.34596466953399,30.75519925154548,28.66057565243048,25.46713120794282,29.521290720872212,29.423414025805588,24.569034296822373,25.95319948778993,29.823066181074115,29.21246893921917,32.56422784052736,32.397574898409516,35.95701925597317,33.62418373029924,28.699951515191827,32.986414450135726,33.795213622482244,30.373678970195837,29.952272601841514,35.566208558314365,33.650198508618416,28.846588894615333,32.07252047414649,36.16535518517398,33.41276509032394,29.8985611798413,25.15965100681844,28.5795347278303,24.116993849489923,24.04734270842196,19.131165109050762,19.630257560306724,15.38118771904023,14.85804568529852,17.726999752492027,21.051268190579364,22.544427248918154,23.92538351931416,21.261799191455566,24.898704267336335,21.512714002749227,19.73609813274999,23.93987699914028,24.929012021960126,24.913429658154705,20.455755126527606,19.730600283356658,21.407342642822368,19.22827725474828,14.745479009392398,17.34570642775468,19.509831283295302,20.744610235057724,21.33226795549732,21.259347919418573],[9.832411653096171,7.944395532561402,9.937516520077061,6.977412469446571,12.57678694763038,13.587731101921003,16.801156099946162,20.613289765717198,20.951723450857685,23.239988193734515,26.21254532959633,28.20031304467665,28.18434481602776,27.08592193585173,32.05198870749254,33.12066622665014,31.454837528273536,35.98468222091716,38.14804564305972,39.99991398774998,43.3080607888391,46.68153070297063,46.80368138703592,45.83268099927445,42.39325071971418,39.36378895407565,37.31934475897463,33.94393835225817,35.17964783440912,34.68479111354056,38.72932507856529,37.40720195610421,41.10044388250354,44.923714783059076,42.27126787432381,40.53553064047872,38.91615716714245,39.3906426317857,38.53034718225892,43.23519958306866,40.824201492348564,42.57871537513847,46.651103498308636,45.69789388657978,48.05213521325228,46.86252465823005,50.57420373304115,49.31723260024693,44.48916324661994,47.18477213753912,49.912999227386344,48.68790952887984,51.38726902153416,47.00519895071157,51.788534667593325,55.128353512257924,51.63627445126024,50.58480480639039,55.43901378492004,56.13541646746681,52.08624498743262,53.79282590433202,52.03741662260775,54.00724832349242,51.42578616779811,47.64792086046362,45.42402097879991,42.55144024848142,40.248628364242535,38.39117853844832,37.61225273522359,40.243456740386776,42.0407943064154,45.10124012883205,44.18899363774026,50.55346129681226,48.51849005107884,51.20623197696013,49.55669886931901,50.21251693868707,47.93864788029562,46.5168555769453,43.971645501624174,43.86424256749125,41.096731753675485,40.626384842138314,43.24010979130029,44.00652920833945,44.384239841107494,47.620250451272796,45.73243430144187,48.88587918938095,45.52830530095304,43.2999839093783,38.55169418484795,39.16847325755453,34.853056007882685,36.62688225863819,33.61392466377467,34.41685520302761,36.16604640177136,34.032496431019155,36.1146333215756,33.02786505378951,35.16848549891523,30.246546429332376,31.722834400420997,29.85972029791681,25.530278003588336,26.597886210453034,22.107367942204075,23.890823491368433,21.683358377075873,22.717079291080445,24.77027330514259,24.916621396103345,28.92229823515872,29.32648657615797,34.568567457773035,32.88996843689454,30.167033071223926,27.05473107341033,24.018093252011973,21.58895103857546,19.022393433156754,19.700494386414956,17.299113299245718,20.992927902941638,22.583693910863776,27.646964673384836,25.777362640912088,30.00346152113816,31.345596574077277,32.913780088181724,29.062024616231085,25.925711333663866,22.272602967283632,22.919536592123887,22.80631562566041,26.3699155525743,28.638403270017452,33.53928707313389,33.441037109893706,30.821231636608054,33.87887431803149,32.75040897453308,29.502876783814198,28.58671732606982,27.335914423332298,24.83436420059502,25.078491995008054,25.250150924629153,28.48746435361911,28.41780162872185,30.853472455241466,31.28781083988138,29.847505201297064,29.536439612290856,31.047140913769848,29.473459438878823,29.406141845830806,33.322713191319835,31.33234290276691,35.683658084297555,34.588750238273775,31.89801227545505,32.85524516446562,33.72792833768012,30.087616366190005,27.750991379370422,28.220555548630884,27.927259284083853,31.793534889397687,33.833784940747876,35.344386034390496,35.99568651397853,35.53848671551559,40.129958940787304,39.695655895353646,39.745184198467,38.55683859117417,33.593950311537945,37.004342342381406,39.05070102836717,36.822563205328336,40.82948191692115,40.50096674070475,44.80549571247647,43.362658685210654,42.87991091883778,42.048789052889276,39.11169640020043,37.081510406381064,34.19910941476137,33.91577224380716,33.06975968159625,28.16925146794737,28.763779304082895,25.23419368620927,24.958384533395318,25.896503281475763,25.14149646471004,21.789713852235483,20.775621229408348,22.948707980510004,19.501285688074578,15.2021943330692,18.55665084755581,20.958609045311803,14.764126449048682,14.43072886989155,17.555933443919734,15.869891772593016,11.581327444314793,14.61643320295072,14.072530770231415,19.658567722051608,19.16062060299271,20.21872546258775,23.221711164972245,27.875560606263754,30.648816913998672,33.562355344328104,35.332377809712,33.72391593628334,36.399398968745174,34.62168759901439,38.522874650379855,36.79301845122444,31.17576574688267,34.61806777086502,37.454860612511695,33.14286246482468,31.67414572188452,35.35498016441638,34.49115613053314,30.032934736395156,30.586435701085897,26.92571799464499,30.38192714824281,32.74593032397359,31.306822694646307,33.98997324567871,35.912179781010565,34.235588448885295,30.199838792545552,31.083453161708313,32.20004694083856,28.04719173322522,25.726138697502478,27.6551343316806,26.02413933652807,22.306417685303646,26.1037592057687,26.635511126915524,22.083601897095544,22.58783633410635,26.345756180597963,25.18385943694967,28.43558600177468,28.20124075470476,31.427123968756124,29.00492458915279,23.986290391879237,28.11722380579324,28.65652927273497,25.17640909741463,24.68030133546079,30.1622522075093,28.09166470473584,23.2367006442006,26.52493785547218,30.49669705524955,27.674038833962467,24.14807771024056,19.414175455681352,22.876136335475703,18.496193555563938,18.477028829162087,13.446496907430646,14.061893854167447,10.154825718136742,9.164594309592381,12.104851443423799,15.410735229223478,17.0859934146098,18.55791536911952,16.61655582009778,20.61055056788488,18.036362247985583,16.16290637661418,21.008444816358416,21.985019674042196,22.962312866679977,18.19891444670783,17.02330651702818,19.69751788611715,18.32707743387846,13.155482238715091,15.348597641758234,18.47515207857714,19.57461871363482,19.874244987175047,19.647871073238353],[6.758824134153931,5.240343578610392,8.05037348079953,5.485852921611961,11.365467401820469,9.799076960126259,13.341556111008039,16.58164192764781,16.756295537717005,19.68875921358193,22.37288963130438,23.96036881870114,24.68708444840317,23.82239588780033,28.52271600632235,29.652251158794744,28.619844014394904,33.27896571232414,36.024231397789116,37.82698090538215,41.42083059618271,44.87038777750646,45.31235789187545,44.75428736600563,41.12983775573276,37.92119332565502,35.6790447445409,31.959861951895444,32.597681776029965,31.600600295174317,35.334995585362215,33.76423654298484,37.20706861386377,41.275043559809745,38.88996221361186,37.546098204105945,35.8271882130536,37.007616287987695,36.56567819456277,41.48101476131933,39.50534533441758,40.83422968986842,44.969160352869146,44.47632998579535,47.086232795534215,46.30696018684603,50.03706146946376,48.438071019213254,43.85483568250018,46.85540140462827,49.11809357125572,47.76011182645721,50.10388061961831,45.498897648313296,50.042179512937544,53.49001153518521,50.04124344493461,48.50976900973424,53.33232360843352,54.409941022977485,50.164831560742904,51.4620242722012,49.39496238013431,51.66989987738589,49.35526351943996,45.350538243444774,43.15617252814631,39.92804247463583,37.84354488714656,35.54897135090421,35.05502966180873,37.670441727200085,39.15653522428686,42.50151581051448,41.210570372775294,47.51436574763488,45.67641054275395,48.04375890026538,46.60328150407547,47.59082886137655,45.13474907992524,44.11127160744935,41.272745322436904,41.66888623343826,39.11069229204013,38.167113118578854,40.79900171556555,41.01311796145065,41.56895309079797,44.29308329291471,42.45624923671443,45.48841497453721,41.95924519676999,39.487052211190274,34.768767112088135,35.185199157413834,30.934943440560854,32.51977295906057,29.3881751419944,29.859657999490153,32.14455881964883,30.062830190038703,32.618516342197644,29.72171500227747,32.60535547492916,27.732983419925446,29.486703445878995,28.245235677601404,23.832265734254232,24.141820270938066,19.58324879240968,21.469357969171487,18.741855009357117,20.535574468520018,22.27362126099006,23.16630884920738,27.04165828867735,28.15999373898603,33.04615364469559,30.707320510362496,28.182094622209494,24.796945011295534,22.54190372365463,19.772491530634007,16.651055866382986,18.16985018742641,15.20924632254451,19.416461430803132,21.202476555626067,26.1093180083388,25.225074318002545,29.331477954447205,30.914657969337096,31.69795834795158,28.396309108353353,24.94985955567084,22.262306835599993,22.572963927572523,22.51507003210996,25.634170563806993,28.473042744120157,33.25865367486671,32.47336864186993,29.66443041636079,32.46282432358179,30.673622384647757,27.537784089165235,25.984024123611388,24.542560315238813,21.467840648432468,21.453907013870303,20.945404217122565,24.078094761201015,23.52012503831715,26.087952463490314,26.873142067642288,25.764037656945874,25.759875494519466,27.574914423947074,26.573951113566867,27.302168372855004,31.05677871796455,29.943989125336117,34.101617534968206,33.68084910381454,31.776147377141022,32.85072062668343,34.38195521434917,30.90281070668292,28.256097276781034,28.258653456794733,27.40047647602247,30.689663628504803,32.218776654219376,33.21561133183797,33.415292608213065,32.60116372340606,37.13600554621173,37.26661254315611,37.3972456683785,36.87295137975167,31.700213302571605,35.719193533207275,38.15573287995327,35.98228004622238,39.810778957256595,39.285448953304886,43.83675546000242,43.00484041820714,42.62341663143258,42.161942475771504,38.896743743689754,37.235963097517846,34.32886736628943,34.08104334119032,33.456286833267285,28.48255117222432,28.872402596554572,25.471659679129456,24.25138239552075,25.42867451755069,23.77009466242509,20.496356562035217,20.535823434457516,22.1772479852905,18.013631157396397,15.152018228791226,18.480427124304338,19.600117456229356,13.419215556241584,14.247817878253473,16.953976242307398,14.055948276293284,10.758638589126416,14.99551763654968,15.222083514670496,20.04990296802762,21.228445460219554,21.31699898386569,23.873613732940058,28.753072329884773,31.031619634091317,34.23103132187176,35.44544427677019,33.70118377483455,36.05587207492162,33.89174057885132,38.19647268463515,36.945259691404395,31.27927594811488,34.43891392163018,37.909805808325274,33.94477993819793,32.154490024963025,35.86034184678545,35.773990806926264,31.4102410319165,31.409852010441615,27.45089450132913,29.912090758431614,32.19587591351177,30.42982204400656,32.50308342968215,34.14058635637418,32.03558071654132,28.472706268023153,29.245091724836612,29.679123868794157,25.475101996278603,23.702453016571273,25.133780952630364,23.061559938768504,19.87363369267439,24.09946714530556,24.114084924761755,19.33754591048816,20.874350049428575,24.825651955702565,24.17506237771884,27.3297109729059,26.97003237964319,30.68465076664902,28.647366478890316,23.630620141152413,27.886571909258205,29.059308934016567,25.79448708116091,25.289589418023397,31.058243553052097,29.626213575328414,24.878934084161344,27.96434939514537,32.28965668247184,30.029552626381882,26.622102014238216,22.00376955083467,26.13436813054588,22.15848009842791,21.578208960786196,16.607517448261316,15.872603255906943,11.166347580437492,12.253932764940162,14.74075098661816,18.499004231657388,19.40901671939696,19.860391738706475,16.93520554717253,20.265120937108435,17.079394871046667,14.557819242506788,18.497738110009767,19.278009073390873,19.456943963877023,15.05180545200792,14.037384049575222,15.885217968815304,14.091635081286938,9.185006771397726,11.876134061302754,14.550723224786434,16.03664433019583,16.89133845231678,17.31002690405925],[6.172006617037259,4.65272005139245,6.648588386429128,5.9045105732856,10.456524061472924,7.0568987246654125,10.992193980704332,13.494188489400404,14.161057066674394,17.706816873675297,20.264781588619478,21.260687618117828,22.44840481527012,22.183817580960703,26.543620541343724,27.470787639389165,26.9326835505021,31.693932526205163,34.93078233843026,36.44030414843526,40.27388155786708,43.60674360095127,44.34559241190912,44.08896639766853,40.285213923337984,37.119888998982375,34.57948883821671,30.706137173009246,30.876086803188883,29.40603724072782,33.19876110645135,31.154504767812668,34.471345616283074,38.7239359065767,36.414449467168524,35.426917273284374,33.41402682783553,35.15640615140849,34.932691620057504,39.76152841403736,38.28417479479594,39.49616694913172,43.55490226957909,43.37997817122793,46.25050237554573,45.76225989306047,49.42061121344129,47.496751777398714,43.09015169623311,46.14771466800225,48.03022749719133,46.475878905577176,48.63173751089551,43.93034394409586,48.206011873010304,51.83705550295701,48.552031680361615,46.67367712697156,51.44843937225173,52.87354380462545,48.64002145907336,49.73347780892153,47.503819363253825,50.11828037172441,47.92973506822272,43.73458393358451,41.83790026634678,38.37101344515524,36.6945968026355,34.16209514715603,34.02167052067394,36.75970075267923,37.82095624153898,41.22906848477907,39.503026664438266,45.65784011040705,43.77430037896356,45.84823680830541,44.413225609333594,45.510508238387764,42.78943573169405,41.9147517842333,38.76166913736901,39.40544953384849,37.12915257524825,35.97616135848077,38.78466526838657,38.563666737539904,39.49793643898942,41.879840898605146,40.280305834310745,43.36985758639207,39.7745137757231,37.07941799563413,32.43251297729259,32.8796545052058,28.74873802940069,29.802199841332726,26.48210471896123,26.494674037456708,29.042857172844098,26.676621162442633,29.608925157250525,26.596850530643966,29.844215277680377,25.006096423279715,26.754061748539304,25.926463917593743,21.49943508417831,21.347608709713295,16.91712935665644,19.137487302933813,16.387024530207178,18.8925689789425,20.758848502433676,22.26177223792411,26.055901177103966,27.721848962598433,32.451209567305,29.65964574911228,27.464996569222823,23.909160483360957,22.239223474604604,19.124751523418926,15.523655927923496,17.156585996558864,13.40915899709188,17.76512748977328,19.391664656096335,24.061047372482925,23.809760068427117,27.66711673148762,29.53471560424864,29.76790143939232,27.046248093390567,23.607119898761507,21.60115801996889,22.007251180951222,22.304255020513487,25.03275626690429,28.476720260321247,33.07232258076097,31.87245444863739,28.85077444329292,31.324342016931805,29.118716986719566,26.102538876031286,24.01318310116291,22.214752717830446,18.859056697128914,18.310941519246352,17.56657587313912,20.37754571369037,19.778439368459825,22.548328223744925,23.393153428139744,22.618603688343974,22.53868215765861,24.76880382970211,23.87741349916811,25.307058701383227,29.094820237313535,28.662619065344032,32.53298021524411,32.46123256066053,31.23661006470541,32.139751640398096,34.144940424837486,30.730894451368968,28.068520501785216,27.61978825469,26.534447851074805,29.266265099130486,30.40413607016431,31.07526954439443,30.86908525493857,30.03126620817128,34.33556454760762,34.87638696978943,34.91160646465664,34.88289673144197,29.488449554711934,33.80660418731593,36.4951906320794,34.49185320296591,38.32751284258579,37.85221205924091,42.48113132766326,42.19041204004074,41.6867599746384,41.40947938123466,37.90058390421905,36.3885307825632,33.41833289241039,33.08521132222653,32.51373523744447,27.572955702321515,27.686402047373157,24.395793128378745,22.51491789372968,23.761821805813838,21.496302199835227,18.403923847740263,19.189944436830686,20.388652913224174,15.851622733353333,14.260076090024413,17.41153445837846,17.603486770657536,11.792868785237944,13.5507479577301,15.908377290577018,12.357967466331996,10.291083908078399,15.095004579316,15.604747677514235,19.747499624461362,21.85153795879285,21.136163634774693,23.37384070640427,28.218442007082288,30.206992167495535,33.40361930227967,34.17064932722225,32.277261214262666,34.33693335491275,31.894149470658512,36.421926018997226,35.54490757944379,29.905104297279912,32.80524654132208,36.691396990675386,33.04145141607183,31.04596364925055,34.7314742908338,35.22007756181691,30.99706446290923,30.642870362037225,26.48688737698605,28.19277494600435,30.34804075707076,28.362519671646297,29.994682210637865,31.443593993752458,29.082266675258616,25.860291226626124,26.584738533261252,26.585036156875372,22.374647289520873,21.014733571247188,22.18318342600071,19.886953705453315,17.107373905261305,21.620786415764897,21.41459730942248,16.669583784063683,18.87356613311905,22.873387087911606,22.471774491587883,25.379613961796764,24.81796812087363,28.809877312390128,27.184268517674838,22.207105668410907,26.378181395391792,28.043037186730686,25.033219380475547,24.440672219339167,30.31113576531141,29.44285874394184,24.84787842006829,27.664600817762004,32.20056536368061,30.455161045632895,27.196232982725537,22.799735123545982,27.39122521822911,23.85885635759082,22.93799814371183,18.143642951027587,16.404246287814814,11.575313471228235,13.993969508413592,15.931408427840509,19.822490539260574,20.118854419046414,19.72697551358384,16.29934845737733,18.96884490515782,15.658564180465344,12.579364965979293,15.626011027382624,16.20118397059881,15.930857220895255,11.886862953251772,10.96197298855683,12.255087162336832,10.314340984151054,5.619669362164293,8.817368621749152,11.380778276095246,13.24354527142108,14.584816349136158,15.619877884847728],[6.298064534854178,7.122530358470324,10.51041209948488,9.460010018601116,14.251277386740727,9.833521956133003,13.2221597418454,15.17105790284183,14.774828699358467,18.50326030425828,20.46908953524475,21.47906482601612,23.450533655204243,22.695143327785022,26.886199455120213,28.2325064433906,28.084980486653404,32.739057084312414,36.05045192865397,37.91464164832587,41.72844622081458,45.29894667855712,46.037641318080375,45.90472294263846,42.19147854331496,38.770385178755355,36.469418075521304,32.43604586734484,32.36864651888229,30.813458814551478,33.8602760240906,32.13742423786578,35.10113550709191,39.45927731451647,37.55283150114239,36.72440823929574,35.01824269164905,37.03570994615296,37.12187674244615,42.25849330391675,40.710152394877916,41.475922776554995,45.657151652623924,45.65943894201927,48.449582981806216,48.077127031795754,51.81408443392807,49.94458310402226,45.65931009672815,48.976051477438695,50.78684600692646,49.34125822969058,51.27442444086623,46.480728039970224,50.728648697134375,54.220383805954945,50.80516654021985,48.77129709172366,53.5095427725904,54.965238335763246,50.48697687020749,51.25880909815322,48.81397915193293,51.35240808190585,49.41090285723359,45.22485062412513,42.931042688701744,39.33523158705696,37.384412909899304,34.55335572743268,34.309534957744106,36.712384608072064,37.94471708848805,41.68852864870236,40.07189020918893,46.259549866031456,44.826041026590644,46.7886167006022,45.71612504390932,47.16250516849218,44.57593722988545,44.10218862932245,40.975141133067936,41.99577794690651,39.70070111770674,38.185887169206836,40.72762378414429,40.26671326064434,40.92852779775537,42.92913259278742,41.0755519243425,43.804136878602804,40.05071015952653,37.29827769982886,32.68575726801948,32.653076977473255,28.55648248848766,30.07134678443862,26.87476341071807,26.818981535013616,30.05850022104239,28.17026520819876,31.407568688735537,28.875667068471074,32.6782563769776,28.001400722019735,29.972097508260344,29.472082187437135,25.10662510630479,24.559964379243315,20.198475343489154,22.144656367982815,18.883222810833722,21.45686744873282,22.546526421394738,24.212130647306655,27.721592602108235,29.51965130009916,33.78176482803377,30.782547938682022,28.457856188647366,24.919744747284863,23.66838046108629,20.824575212240735,17.42456476318903,19.94464005376876,16.752147863521955,21.173623886264096,23.0403138963093,27.564912339680323,27.66497008163753,31.496616122332014,33.31766129236559,33.31727727711625,30.667132479874066,27.034617192096476,25.322642520706722,25.288138258108496,25.177768827211636,27.768989835436436,30.906884022048303,35.488403414711016,34.04298120066964,31.184170963083954,33.68576964693005,31.20672107180236,28.302135341310176,26.089276030335768,24.54395293138266,20.801086934293288,20.44579173583203,18.738793801363705,21.518233039020846,19.79131797308859,22.685926284913556,24.23734016953012,23.751473068800415,24.316222048172513,26.50447376676433,26.398650079571897,28.072174709618302,31.46271326780974,31.34383402045402,35.21946349731796,35.542472821625715,34.387095836030255,35.59679655839756,37.64673805562257,34.37243006286419,31.51400159468585,31.15400248041215,29.791274572299827,32.448633690131565,33.40480224582296,33.78934183114867,33.44974286620927,32.157820283108784,36.54803494412377,37.394833866426346,37.63775257169498,37.891838921111386,32.606918594320355,37.193325987066686,39.983857927340075,37.90540034086786,41.467769531170504,40.708587622954404,45.46208829898224,45.20345554574298,44.97199984412986,44.86459451513776,41.35625856734871,40.0618763408357,37.17815249958747,36.951502903237014,36.48626442795438,31.557619121346114,31.687697222743292,28.416084899062053,26.406240099556715,27.55793692664612,25.06819698430906,22.168236319569786,23.033175598745288,23.89241670385583,19.314461583823974,18.085851825937986,20.850009111847918,20.479208076841402,14.915855371914308,16.50948076787438,18.30357657976442,14.38784401571189,12.488349498029223,16.99548178418924,18.15427805396616,21.82440629949074,24.667251214319478,24.165042595224566,26.056525613741083,31.111770595677772,32.68516525495013,36.35027591944146,37.09897498781882,35.45447028290599,37.57292113909683,35.23987871445064,39.888959621733825,38.99825652801333,33.54184140984018,36.48615783304085,40.429170324791755,36.83421844099206,34.93292162846258,38.66828626137868,39.148700439344026,34.921685770103174,34.681600533427236,30.457415441833824,32.05171053647554,34.1008151435236,31.897975828693166,33.31338077608638,34.42717388745155,32.04452550996191,29.14559826880691,29.47418346560638,29.13683822011562,25.179929939213388,23.93530081681266,24.46630376362932,21.900144294279027,19.53968024602436,23.81957791884366,23.01977358313462,18.120111073358807,20.755378396563405,24.67651936965526,24.787251584113427,27.912832886023953,27.71933896617473,31.7930216609381,29.94916048596485,25.31462985415059,29.720001163357182,31.26898900496049,28.245402061557876,28.05571162956582,33.836584780012984,32.78816094122982,28.38909451383498,31.4403269010218,35.809514083383995,33.89129297611193,30.719665572123777,26.28843843955,30.658625953943584,26.95734450115024,25.779661680033723,21.13196479860592,19.76203927460524,14.97339487121762,17.115179429110754,19.45803355246228,23.321546678394597,23.919753800720223,23.63403861604013,20.352153887883205,22.97769461705637,19.560096670935636,16.473720693486015,18.987540827038007,19.224249525193493,18.443506410022948,15.05404302456435,13.948963738786256,14.206226401766717,12.326371909665253,8.513559917574785,10.768053153005495,11.896566956097594,13.575087521720336,14.942487445902602,15.867048752691904],[6.271693115083269,8.27508663933214,11.357166009024386,12.92574773487272,16.612849928173315,11.679087076611292,15.216123459037222,15.697587422065217,16.274873197590182,20.74099186363083,22.346343753054597,22.238815109899274,25.048382537314637,25.207873260416463,28.739432401938476,29.755293606925438,30.350506037522546,35.04629562681468,38.93265385391279,40.347357111832146,44.42311116061479,47.7543651904964,48.855226303732614,49.03884296225464,45.13179928415721,41.8683533806778,39.18521082970425,35.075005206996686,34.43804608697281,32.212525560728764,35.315766813583934,32.80074841854377,35.4349646402389,40.08332252488723,38.34643721932966,38.132174860174764,35.90889376969107,38.73493952033538,39.029833656700575,43.81754777566415,43.00946526781262,43.79565934048336,47.78408057129153,48.125978735364995,51.23723372248119,51.14094112733466,54.73559407477307,52.479075733801956,48.37382219428547,51.56723378446209,52.95781297194379,51.194383523417656,52.99998677034147,48.1748038660426,51.986020421121374,55.800633675352735,52.71596219338389,50.25508668612876,54.88473064220634,56.83430575512305,52.4956693196161,53.04536714745889,50.414824980801406,53.44053974869852,51.6557314995576,47.2452005685129,45.440410145581026,41.57492591344093,40.202467268262524,37.095760266395956,37.30393284111069,39.78316058465617,40.47635863329488,44.28507457726788,42.0865732065194,47.97153217225934,46.48090960622599,47.95060283768138,46.87032890476794,48.41640019956436,45.37533370950423,45.02118817671786,41.35981510926824,42.610418728451606,40.8520196999451,39.204724886769334,42.09446096183141,40.969637072573754,42.325837413945486,43.75406789834573,42.34523843554951,45.111282446190984,41.27835240807297,38.16629811236554,33.77894496367398,33.688594693779905,29.914079032055028,30.50273981385768,27.02348779622983,25.797599393226648,29.730912843859485,27.10340266243933,31.13216667550699,28.158723090218146,32.26398938046782,27.664723434279612,29.09139185316854,29.037446423856764,24.6818779856203,23.844397266806027,20.12962957523313,22.970685475990223,20.225708919446724,23.636030449905356,25.116084254009102,27.37818799263862,30.789598879316237,33.08714681837156,37.23554061264631,33.80958798407787,31.914980275918957,28.27097871020659,27.564983533887126,24.417856303667495,20.633675833206663,22.78391880351052,18.502365994412834,22.730665610168415,23.894509421606006,28.001110708241832,28.465470121086682,31.720681489698705,34.16926633789859,33.676836353214746,31.95620823729173,28.709843266619345,27.412886151961246,28.005258408719442,28.52354998336144,30.806396986145295,34.60000340449849,38.97095891177153,37.25316995375294,34.14814376308426,36.22487377904466,33.377550487647525,30.660163498157605,27.824611451305735,25.678427600960035,21.774305164090464,20.23374533513298,18.205250887227727,19.696442342307,17.396472091376435,21.157978415764237,23.072994717711037,23.546733380432713,23.798456053910787,26.863285702324056,26.652218823792644,29.368340739786547,32.930818374379776,33.59165330004952,37.00573654130075,37.504177594019,37.06938561338527,37.77688560062202,40.200136263556686,36.82556592240585,34.259359992007404,33.3928265083488,32.126289033713704,34.118698158355734,34.64651274735255,34.710314430088694,33.7186456054992,32.66904944929283,36.42610756135823,37.910489507280424,37.81046782263011,38.737646081119685,33.077043866796394,37.75285257414949,40.773301270279795,39.1104634397143,42.91948019597736,42.47521708479262,47.175672761282875,47.57282795785168,46.95815365068584,46.87565500458986,43.11896123503071,41.72005731545028,38.65090454672846,38.0799379199954,37.334110988028726,32.530763960821744,31.98614530645126,28.597590262953617,26.05956330624256,26.539456942610858,23.492476438477066,21.370892721278842,22.4304033833596,22.20716607123637,17.67280361740062,18.096399780845434,19.73019829079236,17.848899746040978,13.456355796347507,15.499465641120324,16.13249487655583,11.654759487648146,11.604078534072022,15.853800509152224,17.773626800454675,19.92757212132235,24.418252846722588,23.191965869812,24.251631907203702,29.30688861453807,30.11055547284668,34.1754021939386,34.47311499953471,33.069528154048996,35.042462480279276,32.827952928522606,37.715649258403715,37.001775170425915,32.03866173919956,34.91699267730487,39.12506082013714,35.952795714884715,34.227536012781776,38.11113092634491,38.93747780739586,34.91596239052983,34.960549401007654,30.265200183188536,31.3156427944189,32.830173049506726,29.98046305709652,30.944474286309898,31.336378660632153,29.162770704716227,26.822714220445064,26.286222511693694,25.54021769080749,22.18302071763326,20.958428604312807,20.53026222138162,17.73977022819928,16.020188880914326,19.922660121810186,18.470284659754103,13.659642818012085,17.004404250809944,20.71769538423765,21.496175078511143,24.548218874094317,24.70335136521534,28.920975202735235,27.147745029031803,23.148603218723494,27.67632723376638,29.394420302570524,26.696108882533807,27.07030951036645,32.60739763456332,31.89787845846867,28.129740046557355,31.236408374394177,35.39022028094534,33.877209597419466,31.151510867897898,27.133704635165042,31.71037587022338,28.604208248169734,26.54547863313175,22.55588589918065,20.36318946959655,15.946055423871721,19.324199437046847,21.397678248511266,25.240314043474847,25.586372541032933,24.29421370621448,21.418689463971027,23.410551495245407,20.699922648223552,16.639901002467205,17.763951112022706,16.91970528817978,16.13702692390177,14.118337518260901,11.869269587363465,10.778422654381789,10.741518920140152,7.700663299723058,7.603687026486552,7.009729796482035,8.807440209945414,10.665563819526694,12.33541539742938],[9.181724726795084,12.359750493405208,16.237853235416516,17.502152490674515,21.691621817760844,16.602328875328734,19.858807472603324,20.02233459679569,19.875541790987658,24.326687274167767,25.35780791116009,25.138063857430634,28.6427423178312,28.44322277657163,31.686996396699005,33.03292353919693,34.01284895661185,38.559385353917484,42.49911129978958,44.184520642820395,48.2295007014755,51.733280761931034,52.84265755020816,53.12948642501442,49.30510699921095,45.85713709515321,43.37019163439308,39.16026453948063,38.319541229618146,35.998619149345174,38.39871096469305,36.11857670685906,38.31815357057464,43.05245544958274,41.74579883199398,41.75453783581782,39.76008461757545,42.86594848504432,43.410722833271656,48.37943696886996,47.56258240652971,48.016346568290665,52.07410107268181,52.56451897514846,55.6165482993775,55.601151865695755,59.2477977387866,57.034469633664145,53.015616584426695,56.37321418157937,57.71155518943494,56.00530186196904,57.64999615234585,52.77041893088237,56.50939245418318,60.23889789534242,57.091314753138285,54.47957642086014,59.04899843817953,61.067304080037395,56.554033296857455,56.80443565769588,53.97348063520689,56.963159905485526,55.42227632984722,51.02443902579898,48.9142711883019,44.94382411957662,43.36997180570614,40.0008617269318,40.13515020616293,42.254520291460665,43.07379212832413,47.179320008612706,45.05772074035979,50.8843316187605,49.833870480977765,51.12246262074428,50.39076375060455,52.251559355196015,49.28721436240709,49.28113437933625,45.591681494650544,47.14822498438002,45.443947838000305,43.52797596198292,46.225362609058486,44.830208535124356,46.02594963593902,47.017207371887025,45.443804711366866,47.8278399571431,43.865244149120805,40.680915334966095,36.43987367297197,35.8414573640739,32.24359590338128,33.141452469575604,29.826915183735913,28.32728541827006,32.976396561486936,30.6952345824139,35.04289929962076,32.415768931217215,36.89174288830983,32.450202884677076,33.88093771224854,34.03911084146015,29.734400667747117,28.72876834371925,25.175452489759984,27.91763127978891,24.94299959520722,28.351374971212387,29.332482353846174,31.663260318199193,34.8584080769339,37.21249040017089,40.991437163610456,37.429418183167485,35.44864943163416,31.869265853798233,31.449254557924487,28.536336441700605,24.94341578641257,27.57358786304456,23.59949959068768,27.857845625406,29.09185052193854,33.112334244473224,33.68204523405702,36.86964437918625,39.37618615626585,38.77453567580707,37.14807302095122,33.84025684305679,32.58930046401784,33.01548046346066,33.29385675359475,35.551439735653055,39.10688589782049,43.491120453199436,41.63786254750571,38.65866978929626,40.75566430401368,37.72749965297283,35.10773182992847,32.19699047396422,30.217091435146656,26.110028727253493,24.64134373887223,21.940215452616496,23.08620907842638,19.64076784911819,23.558999346458904,26.186793642485814,27.083864719724478,27.808778910884158,30.889551946965522,31.23447386008484,34.15564195638122,37.44925008976758,38.33467667920455,41.73323238896345,42.46814341780487,42.047183302930506,42.907130712785076,45.314505981910514,41.96592916339678,39.325557798679846,38.537183572834095,37.167934833325724,39.135943656000684,39.5465686003478,39.409701088872595,38.26565689955595,36.92806593263611,40.62106730474393,42.41207865210411,42.41159624979449,43.59602031621615,37.986443212541054,42.790244901613825,45.87305796348162,44.21285982892141,47.89114928490178,47.295038786604024,52.06109669255024,52.494763204596254,52.02261481677315,52.0145916815817,48.255807060851595,46.92753525067643,43.87400530384879,43.30286682033122,42.51747888545922,37.72196797900525,37.084881411826956,33.60643733401748,31.08613296431544,31.252482845724934,28.156354586855333,26.32639825019906,27.169768369355506,26.564133912238855,22.254053615219185,22.78846176598047,23.90952401095561,21.59960958539458,17.706463511914794,19.27500313228498,19.211823025599777,14.891299753314406,14.94346700910326,18.332941122009633,20.893701849341543,22.266586837552847,27.552428821578946,26.622499634422073,27.17532287990228,32.35392027096588,32.54809804458058,37.19880056904394,37.517502004397656,36.55562449316195,38.65828080556191,36.76573882110117,41.70308486220256,40.86060436561584,36.281322227946546,39.286438748187976,43.425241259970456,40.32476512252877,38.84862166144091,42.84084052298213,43.51938165005533,39.50343241606841,39.90703594761233,35.06998751141268,36.19227282660493,37.48799782701286,34.34052413809888,35.163955945158975,35.060084198817556,33.12726061194326,31.132709171604464,29.95915604721527,29.00200894903095,26.198526570685143,24.89264244794274,23.697059120291886,20.847220315161895,19.6089829432691,22.767095247393655,20.64229223584769,16.08393159913169,19.464035329349404,22.766908764968484,24.181784726572637,27.455564840145463,28.210546925147163,32.32287843526687,30.179743129350573,26.813228557785333,31.560956391208492,32.96766148167546,30.292471016853938,31.262291936123983,36.54501185370722,35.538014895480856,32.1400217126577,35.57646244210138,39.38960134939302,37.65219016315353,35.122414432032514,31.149706250115578,35.40195020840147,32.21685276948012,29.751353728068253,26.11532487090061,24.335702067149874,20.12154449656967,23.20582212118206,25.657577104169313,29.429777172776767,30.15185541588652,28.950574176224176,26.448715945815266,28.534867521156713,25.925242495691908,21.80413424932406,22.698859584462483,21.47246162581459,20.57801927578248,19.153057139567586,16.643821180959602,14.961877896465927,15.419731476544493,12.899449729412268,11.967827875728265,9.882725360662262,10.68166159568043,12.059879072517122,13.144399254603076],[11.257838705285636,13.845336606803835,17.360107386181486,17.510842966398712,21.53670232076358,15.733229358455477,18.359990539801238,18.4050431061655,17.34050025367158,21.585814593902686,22.23916466425365,22.225156026679333,25.961870635232934,25.357805836867065,28.482101633572537,30.108875467024255,31.21937984038047,35.61434015655448,39.514986531936756,41.45049843739947,45.423251997944064,49.09146150776466,50.170988593238235,50.55213429026786,46.82723560031803,43.21038328730632,40.94011499627982,36.661140979475,35.71205047795648,33.48041221346575,35.34341732907571,33.49004894104958,35.537979978435104,40.2020123016255,39.11784568807989,39.08190201874273,37.457161552907216,40.55123933838777,41.30741704406903,46.569980130957966,45.58295976500475,45.64322335067689,49.794720282262226,50.402604984135266,53.34855330484899,53.44806118760254,57.14600748032008,55.002781172573194,51.12225326181267,54.739627045978395,56.01467337021437,54.47321097985591,55.89748638764133,50.95903530310986,54.74751599527803,58.2536243712857,54.944455752737724,52.29525976828176,56.833673296126456,58.76849057081071,54.05534370279618,54.09946446589389,51.169209665307136,54.00482741116062,52.62249221259152,48.291413314477786,45.868972794098,41.878547159039236,40.10822168822327,36.620928678953284,36.681826597160104,38.60906905722682,39.51950696372655,43.760965848333264,41.78140764883298,47.6344989085023,46.874592659099584,48.19315178738359,47.70673670168308,49.781106110595644,47.0614491593021,47.3475200038418,43.87979429731527,45.68970259625614,43.82205029626543,41.63180207417402,43.99751718053045,42.604345536516284,43.406766816226046,44.27565224184906,42.43879786786074,44.58507233677365,40.58272976807399,37.48208931526063,33.24788629989516,32.413492313559864,28.81213282046593,30.176957670294296,27.07759159938581,26.010071220323944,30.749786689420052,29.179320541659546,33.345976829262774,31.362491333213885,36.17901774935546,31.930395798371066,33.91338808443906,34.27935231597221,30.117476923630576,28.72371288927682,24.98159267208866,27.028386745626367,23.532730542511455,26.76597044084362,27.070448280774595,29.464145790074223,32.373697950660656,34.82124043199835,38.183836335065614,34.5162971709763,32.502710883621354,29.003630575863305,28.946136221463785,26.26258755686511,22.906757739974847,26.174038415186896,22.917779192990047,27.212463049505132,28.934172349471023,32.8663960391172,33.874668243175726,37.2485869023479,39.39173459876029,38.58409169662599,36.77281142607527,33.1372777885818,32.308172332039085,32.079196091112834,31.9427373022037,33.98047110413155,37.279539579667585,41.56278113399486,39.46563183441383,36.65629687465601,38.76057595043419,35.57022465054256,33.062449486835064,30.185018065937385,28.578156725666748,24.307771879256105,23.41812101417709,20.188287747842644,21.862657683620156,18.039597903869566,21.46136480007074,24.32579586915659,25.009877976975513,26.327772365790107,28.9814314144556,30.01213388370213,32.79945109869491,35.64716238518566,36.68681170136883,40.11604087824766,41.23464668300751,40.87403986581419,42.14928980067214,44.65286730226802,41.56883179034078,38.61164596219142,37.91616049981478,36.15801340090754,38.08852759342547,38.382114839374466,38.0402912019676,36.995581485566106,35.18567039340569,39.143762917686296,40.95562309589201,41.28099296849854,42.5173471504939,37.201007102646415,42.26897418822689,45.400855759101326,43.52400461890083,46.780649025332885,45.80995219855939,50.69396927099197,51.09225645649938,50.99376973556072,51.23481258522217,47.51082700896404,46.553338424119794,43.6935190521903,43.41310679599863,43.00156391279707,38.20300528512508,37.940111372019594,34.74997412543643,32.07719820822577,32.87776358604297,29.646554026762786,27.466822136882875,28.852224161370362,28.6714773760924,24.08190436229501,24.470767676745485,26.259229743382733,24.23815458741948,19.98024645535159,21.862509046092224,22.339103802952877,17.89516909947721,17.61262420642282,21.5131014944715,23.69239506438518,25.72049062358099,30.407074453420083,29.49315330928756,30.422637359076152,35.562668139345085,36.06478558592387,40.43022038308568,40.68699780564329,39.418505592956464,41.32977162530929,39.070059328135514,44.02041650113104,43.427169484050594,38.519470848194494,41.285585143466506,45.596804576026734,42.46856176421019,40.66044618148514,44.4637501934994,45.39337409080849,41.351152668367206,41.16868387610761,36.62241821096054,37.4265178675106,39.02358787493049,36.21038288614276,36.852446546013276,37.06281398148826,34.64179902319844,32.724633781318815,32.14635773599153,30.89517135876247,27.725423201491857,26.986100348102227,26.077917982271007,23.080565620947468,22.03627581798357,25.69313353129267,23.687365493617932,19.142087646238256,22.80151554370119,26.250384112707923,27.482351216519856,30.554989388397953,30.87357687893084,35.12973059057222,33.337124168886334,29.587141383817844,34.129278300984765,35.83761289128057,33.144629778539134,33.60874953094279,39.133171182995575,38.32092924263055,34.55003719699173,37.7150635994698,41.861036884434,40.18953044535884,37.4007767201887,33.2391815205694,37.626669968991834,34.20185256089244,32.26039074928585,28.17006391031532,26.468897224143863,21.92413425564002,24.693581421629002,27.07709079545904,30.942606650715497,31.48204721130045,30.555614431750953,27.38492460184526,29.37522751560604,26.127949908932568,22.55020520110944,23.40868844396636,22.729483834551946,21.075217150290023,19.517149879221986,18.03584170310632,16.214246434739643,15.25610837818348,13.589413003431112,13.988377901018323,12.231148718422132,13.394631815759858,14.90924674922319,16.047105571243083],[9.894145919407645,11.946436791174769,15.44227982382557,14.672802495146755,19.00218525613918,13.464587024321785,16.10249604332289,16.91872339749313,15.581821273506508,19.52787617338223,20.548776225076182,21.161423337112936,24.281029134113833,23.30397223979056,26.898047071825616,28.604773290526506,29.2154670960603,33.661788248350355,37.26159150201407,39.35136210996075,43.210538327348615,46.95362505501527,47.84429601193419,48.02299824579333,44.36402922189939,40.719014382376685,38.57600464321534,34.356536383949454,33.76225963025765,31.89075301242575,33.972511076114124,32.43067031201944,34.80621814063695,39.31587963439893,37.991643050899945,37.57039441883596,36.11529282526298,38.720936399630794,39.28537114166921,44.66365848104072,43.30999648026938,43.48171631995699,47.714534534911415,48.09523369882734,50.901966433702036,50.82436557734627,54.5819387705231,52.62165958456566,48.60758800133444,52.224503646464676,53.73811815793822,52.329135201576456,53.886330677814406,48.97940015088924,53.01427750514138,56.402163542921635,52.948648315377504,50.56533144562448,55.18788572492551,56.8530453087145,52.1276545910984,52.392190852324056,49.620349775700696,52.22505731448393,50.67482472645993,46.44480758138525,43.86498919185318,40.03608556566221,38.01667562565038,34.74104447637822,34.580792585963735,36.585401731733654,37.75667795928941,41.88950001107947,40.18624058432468,46.23751867983287,45.35733965671786,46.99264316602217,46.386848571463105,48.30455810441708,45.77264515930175,45.86991376933807,42.65763421717238,44.240981032297505,42.0947976003724,40.0678564665679,42.34238731995128,41.36840591780504,41.889044372421395,43.20039901876148,41.19006831499939,43.453898658683876,39.520494224935895,36.616051146273264,32.19319973386382,31.553191978800413,27.694403113045166,29.45100041887597,26.413214546128412,26.012991498175417,30.18447554133139,28.81186597866591,32.517847272997344,30.581480820601232,35.12438557699414,30.756282303850966,32.95251829912884,33.02008913920551,28.80985823463995,27.636128142049756,23.543114660295824,25.259825352964477,21.5931194452334,24.44800918520701,24.71564258341299,26.800601892198003,29.8358040025609,32.015689608230986,35.5625967541662,32.14678484782391,29.920204540104752,26.43756094101142,26.017742446488946,23.41704194129113,20.188711664137028,23.514439838033255,20.660825486194785,25.03722844083495,27.03556721735056,31.203671865311698,31.969545423088665,35.62186743222023,37.4843704268919,36.967179104919495,34.69263797039467,30.911754030170563,29.842693037762288,29.399333549053754,29.03892877790413,31.244778047228362,34.289039746109125,38.68337242779197,36.774305761848176,34.04399441764764,36.3618929209675,33.41089966279928,30.767646473346574,28.211409930027784,26.82830163346528,22.67613709962618,22.301135545188867,19.43718042899981,21.84795657703626,18.708537144212006,21.713132183598937,24.155711421974058,24.234032252999754,25.5283082461906,27.788468415309936,28.661631381651336,30.897808989075376,33.77446807785206,34.352176920156154,38.021387317213865,38.95917756537159,38.229299394790196,39.68115291214098,41.99284287280177,38.93204361158198,35.88000691335913,35.406177766687634,33.65767707319301,35.92570008886709,36.47387704779331,36.36501758839688,35.67972528184247,33.86562317489571,38.15535762217245,39.55684032156344,39.99702161565523,40.81891655686605,35.63737305272632,40.60848662044577,43.60713086404898,41.542012939969325,44.75303222286866,43.6971381251715,48.585215106168306,48.64080938211926,48.66484884955216,48.84887395687145,45.24754105500298,44.28733281812183,41.49642528623795,41.35731344494558,41.0534929937224,36.193164198940785,36.23876720445985,33.092805141175134,30.67814873585336,31.803762720746292,28.852405707905504,26.26316492853435,27.555097891337894,27.919801187342674,23.253379794128726,22.896302241138457,25.24260002689464,23.97031149079818,19.05035421527582,20.83104153804392,21.9330927662509,17.638387436791128,16.567792241363826,20.767414231377042,22.521086045329504,25.36812010471348,29.192665734791632,28.541464743069717,29.945741942514317,35.089390718977555,36.08956134368812,40.16636184937784,40.65247728320807,39.1860492005296,41.172851329699895,38.81198030691159,43.64728382759009,42.9611393148152,37.739251861089585,40.546271939057796,44.7309745934959,41.37363196482658,39.45574540099118,43.18905023951526,43.954364885160466,39.81027875140693,39.47042341294818,35.14877548360966,36.236763344146176,38.117372293382886,35.64420128954517,36.57652333840832,37.23948428360046,34.707150785787334,32.39214313131427,32.32349110777881,31.375962446986488,27.776374866377626,26.952375361532123,26.678088857032105,23.79271335569173,22.236572572032337,26.263925259062347,24.733356481283035,19.964850090711607,23.28922615223358,26.988729048214605,27.755865478852293,30.869941989192125,30.924330736461343,35.14743940112521,33.35264562859127,29.1553858157978,33.64050577580987,35.312817394131315,32.44585601930408,32.56044377736105,38.251755436159726,37.320874292208245,33.19601978174191,36.29232749918989,40.590223305565765,38.76648863556985,35.746298303124725,31.40094759953622,35.7471565590867,32.08929387832109,30.597063263101848,26.176720936061727,24.749999667390874,20.036146744674035,22.348650961517887,24.76725028574856,28.63252240199258,29.220405593823102,28.709071443498388,25.336797350405103,27.59986659795618,24.061717344563313,20.88231463440341,22.43001534043896,22.2777140459878,20.739019646191117,18.37993809079508,17.3274239042864,16.262444876496765,14.483361927495826,12.229586516830393,13.647727944712301,13.000291021121763,14.41207748371608,15.886766399946769,16.875044806594282],[12.468773476509705,14.851286409404501,18.73160842895658,17.466738495640175,22.141690362627774,16.79110519961876,19.153995960186297,20.06247740433146,18.09273120453478,21.65719974709543,22.311372256632286,23.1864011844771,26.471272364546632,24.953537110292196,28.456190223416954,30.4984471870742,31.148057037244442,35.39527121563503,38.79788242484295,41.22740904824993,44.93795817209993,48.86676278133875,49.63553886852008,49.79137740070577,46.29153195164277,42.482891285654524,40.63949854533158,36.417514488124034,35.85616551050459,34.154644127756974,35.664727319254816,34.59124099931855,36.742017330805275,41.16862949471153,40.11154409840853,39.646831265578044,38.54720465157255,41.069483834192035,41.74884521216987,47.33555319042722,45.74694086424455,45.65454943512989,49.97384808361185,50.35618177033633,52.99342831292729,52.89431994230254,56.715654754019,54.92481627622243,50.947885592854476,54.71500516929394,56.31202512194428,55.05735491043133,56.52455005227712,51.6095303171645,55.71772479829621,58.916521250750264,55.317367920519736,52.9763973034113,57.56932692803765,59.107539434269704,54.22224784413945,54.33361424236014,51.490460761367665,53.877908482416096,52.47016634855351,48.355905150948814,45.388651696384365,41.6062711733487,39.246488479990404,35.89731698868982,35.51863151472656,37.17390106078994,38.633510225701144,42.94059031689924,41.52500299605272,47.59379648081077,47.078266958660805,48.74511747557085,48.40747562054834,50.514309384863424,48.211880819640136,48.52235996269944,45.48481332075283,47.203917081301405,44.935522733253826,42.767556441758735,44.77150273368365,43.830583807564444,43.989915712476105,45.16882031353808,42.889243179717624,44.83056883989092,40.85999107606221,38.06333115113337,33.71739028986922,32.71778285328478,28.93245427975806,31.236380145186217,28.463402655520294,28.281135603709966,32.65164912599785,31.751927758226255,35.39524557010689,33.82521833675016,38.50183887659582,34.22098396544156,36.5631412727145,36.643713007544314,32.45507241145796,31.25520572465746,27.10956491507329,28.560184543413698,24.68134440446048,27.273407114139122,27.07093060591491,28.993789341137695,31.824818968753988,33.86370091105423,37.088089025333474,33.75011878572688,31.35560266103247,28.03443130928598,27.70292756269283,25.45176610916636,22.58040372215926,26.250981204908047,23.904394220285976,28.278927414837135,30.467619582369117,34.669066015195625,35.41254863804518,39.168727595739654,40.890365723700654,40.43120644022793,37.97197799294409,34.06730364682381,32.94536455980245,32.22176099525787,31.524145228581293,33.74920470919612,36.380173824091386,40.78389509883907,38.86583116993996,36.34299154357917,38.7728736725413,35.83104407795005,33.24137172116089,30.849205095687694,29.769603894753644,25.592323558088324,25.560680083638978,22.427192985760353,24.932828712615944,21.35311803808731,24.134933372634332,26.870917750884246,26.931650433337072,28.597078252609794,30.594438968088795,31.851629998001336,33.91755513019183,36.52594084040778,37.032763256890156,40.79142196340727,41.84802202479723,40.93182899083113,42.63685986778679,44.823251676996755,41.84137722537775,38.66930638321465,38.39120721963728,36.54868909407614,38.96053296425566,39.54323024923153,39.38806438345227,38.79826909479868,36.7254083199268,41.14412049108558,42.5483209683215,43.163575731662256,43.95480051918876,38.942921159391844,43.962259268049955,46.930186179095124,44.746507433238634,47.76789711274485,46.503584357275365,51.433788141131735,51.31146765529144,51.56998176735114,51.80992740033708,48.297336903041185,47.43652217153636,44.72648948718013,44.69423435602065,44.457517516392215,39.575370793111716,39.74908928450303,36.58372805061528,34.297060152840494,35.41937640218241,32.55055253922849,29.923913878614474,31.0636659600692,31.47298072774695,26.85887222830167,26.227461126927032,28.555567549948837,27.38089575251365,22.391408827524774,23.88464690089813,24.904303249369285,20.725632301925884,19.365350244369807,23.225630438006014,25.126696443656826,27.9485572681345,31.774757877415094,31.460568101403506,32.81736615691884,38.04890859437826,38.9415099751877,43.23541782488206,43.85702431331214,42.54892419686646,44.651672562643206,42.411671407867246,47.238196158794956,46.435813232905915,41.260889995581564,44.16431034303305,48.261608097026055,44.818604962119096,42.980452428002984,46.741532857682586,47.33838162725035,43.13489338691418,42.91169373028046,38.62730933935865,39.88897815265934,41.796843232001066,39.31647972313066,40.29140003307391,40.885864320005545,38.40223209650817,36.11233584735127,35.93066218703612,34.96873472476421,31.464752182346018,30.578013603847467,30.15729995422491,27.259158174656953,25.73867655174745,29.572844101181225,27.877481281324414,23.122279333797206,26.348189627455568,29.953031280128116,30.86082058965878,34.129549815382695,34.39319591559442,38.565334369411694,36.553192298659766,32.481462175032306,37.08571509357558,38.566388014080914,35.61253101959608,35.899018415911016,41.54449148872831,40.3614452743931,36.259671252522516,39.527612584490036,43.70806986787598,41.64447881835953,38.609416170826385,34.18188780384705,38.27773475988928,34.41831371796812,32.946214165296816,28.573740353833365,27.578819333122286,22.911026393026923,24.775957850609828,27.445915378386236,31.244838128624696,32.10703665426601,31.89088768519088,28.636808135051396,31.08822462747149,27.463117690503786,24.44103472464276,26.151794204526727,26.0092723819434,24.433672892444676,22.08275594837983,21.017597566093727,19.924162605832382,18.150975033615634,15.892686003169004,17.165823328908772,16.265277102655055,17.394704456363865,18.612876505770334,19.246946833773],[15.370721344895975,16.90170790139975,19.98473572256368,17.7138294502484,21.797184029646388,16.200867614758717,17.623675067850304,18.554304192949065,15.615014664083565,18.54059353607338,18.849025601795358,20.19988361903098,23.34958106718761,21.281625422814056,24.73261625700306,27.056180711385412,27.657036599551606,31.68338356047051,34.92056445186215,37.609212750362246,41.184548164402486,45.25372347911165,45.95102768279188,46.16063226661166,42.79600216298,38.85165197887672,37.27226535447202,33.0535690142637,32.483284892929944,31.01852292948415,32.034737486669286,31.52098207345188,33.60780569293649,37.83519857453095,36.9146348439889,36.28184563136554,35.61907239355364,37.94087328670636,38.77166971690306,44.60126033956623,42.78656913846442,42.3270987449701,46.713046145910766,47.159851019326055,49.64819474671114,49.63756223576571,53.48910960287477,51.80602101099087,47.979715864958365,51.97218400310641,53.52582095231885,52.46791627531469,53.73193506643137,48.81049845266189,52.984362592607596,55.916137311819995,52.15687340098305,49.86473677379647,54.41265409002854,55.79446938673713,50.75273190500509,50.729238890810755,47.861746208614406,50.02562182912815,48.72742673406212,44.73345794818523,41.455083387751,37.73199656194714,35.13569585838545,31.767220911179457,31.25564981648121,32.746230207893554,34.35329347204849,38.72078787897121,37.53147638517147,43.641350025515834,43.35339185803601,45.13898996424995,44.98857729945932,47.22473063531441,45.23461660092588,45.76355123255098,43.05286357736914,44.92884739697444,42.46109760769743,40.099394701634985,41.7255548080394,40.92612925532151,40.616963803099765,41.81503675808217,39.25473378339672,41.00291305640973,37.06226295655536,34.457573241544516,30.1100928549928,28.982721114320338,25.153215118918197,28.047911449883205,25.60099720696081,26.1403044054994,30.213743714216196,30.092583246464955,33.29677998795912,32.3993119585825,37.202139608162625,33.18545032868155,36.042502411892684,36.25957544923801,32.316019208869676,30.82487118942522,26.589230785790864,27.218558678598587,22.942928189908343,25.132424360942412,24.180069899353192,26.0384003253556,28.509038154114634,30.561572571052682,33.331014850633736,29.980455556085122,27.53858680238842,24.373550207706383,24.388787442370166,22.488465083488258,20.055555202037905,24.292716271233786,22.913430482638088,27.12271335135379,29.769163989831778,33.78677684496634,34.919107410899294,38.808199672819526,40.09123225982708,39.47651257631292,36.81220134806642,32.64729000606514,31.979790702082326,30.555399457589214,29.405756652707083,31.346542420080468,33.62363203695385,37.85733341030313,35.73064351716855,33.44011970810388,35.87193576865821,32.868098120237526,30.42126894205205,28.21014420923905,27.617827554526446,23.47941057268983,24.196456841193775,20.850351617786547,23.971180119418186,20.554393907956193,22.51207110122853,25.153605738841996,24.769922809097714,26.93914268167904,28.30876647079491,30.159457021007032,31.88837020120794,33.98498537771866,34.5370603618618,38.303737580022016,39.69968691998627,38.81614848326711,40.94475625011904,43.187048869773754,40.539345260845536,37.08341495404836,36.921092683090976,34.70786627852599,37.076524996387825,37.57601847780921,37.271183464404245,36.88423602729325,34.393519827770525,39.07774316084061,40.35787919671671,41.30932192563214,42.03768793122501,37.440241578915554,42.60480906621861,45.55097799626101,43.15177456484281,45.696602673159724,44.058403391325335,49.048007159942934,48.840459612561496,49.49022618182853,49.9765810838327,46.55394164012412,46.08701639105405,43.62660498100584,43.90964609327306,44.075585466782414,39.27641619215298,39.85587115639512,37.060335458841095,34.691198366521206,36.44854859717316,33.542948525276415,30.611417975882436,32.24993115373692,33.095990176074714,28.339350754174347,27.587661484547194,30.506728452413668,29.64945455376984,24.482767912161545,26.261615549272307,27.75611922294336,23.55921647581006,22.079420024035684,26.331171774124577,27.7861991709775,31.15377291668573,34.32822814869385,33.94186077356607,35.66784704809544,40.77739830355395,42.02929833859707,45.9302468308881,46.47554321216107,44.8196254192314,46.7036487344017,44.095472846771756,48.86929223619645,48.32876393946454,42.840361317408906,45.45886489645858,49.680776450832525,46.23882303370975,44.06222445942311,47.56791745932602,48.42642339714096,44.253841279558685,43.391334326635025,39.4973742102874,40.42595867815288,42.635241758298456,40.568900760208805,41.398578148828,42.37040379985603,39.447045019351606,37.1902714909796,37.65838091626542,36.5097968538092,32.65941651563553,32.28490635416923,32.24123795392225,29.30085463440085,27.896446128445206,32.15211107920079,30.672258000913935,25.966212845357248,29.362018709962967,33.09946957751127,33.7637540944686,36.78676425087194,36.57856673875967,40.839131902488646,39.222646169318786,34.778357025889065,39.08872542135962,40.87898784198729,37.95403567030594,37.67787854620968,43.50390611672947,42.58502056352445,38.14044556764151,41.03113130978301,45.53271701016456,43.61698247026913,40.351065130679636,35.82972697088692,40.05230771600655,36.07267602341857,35.19016386202448,30.44684642967711,29.44543815078565,24.63159477252377,26.19465990687898,28.608213667552814,32.3893388477281,32.963746073466815,32.998830056937116,29.13025986316643,31.395858495824424,27.233717285741722,24.933788512031356,26.608245001589903,27.04829103321792,24.91415197123189,22.417388232358807,22.38327121636907,21.351181860785317,18.411770309647448,17.034385298818897,19.333769327123868,18.819436178508443,20.234391497375373,21.608157734255336,22.34229845533603],[13.389484811099898,14.364094234928093,17.054466140032808,14.577764489931592,18.537012249336104,13.054051709096775,14.596550973795754,15.93111367465935,13.292883384633397,16.334168892370805,17.19605528075652,18.705427779377636,21.356471999045535,19.500313887274707,23.337829383132053,25.42750108328374,25.69787960265935,29.937016160803672,33.16467156835186,35.66874160475492,39.30839412259301,43.27406881835041,43.96125063107439,44.06409256534458,40.59995553819369,36.76533237928923,35.00988757748652,30.817235620020202,30.435756905270615,29.03444163872237,30.65967202328079,29.915996568011707,32.36145280551079,36.582259505361414,35.312180236681385,34.50863126522326,33.636081519066394,35.75918231245434,36.38133992528137,42.107053232256796,40.27378529348129,40.107740485404626,44.47539026340054,44.78468253008925,47.33570747497911,47.229688978236744,51.070122213610574,49.35547079054237,45.4057733613291,49.271317424015834,50.90503022553893,49.78909984509133,51.21404230327234,46.31440018824453,50.567110094207656,53.59965144661741,49.88131833788171,47.701088836559684,52.323942999296115,53.666332659301496,48.748943096101,48.978359474804144,46.25451316040962,48.47605720453577,46.96223983055674,42.923543297205036,39.874335925523894,36.20092662886226,33.73735934878011,30.55194158724747,30.08721766238003,31.91855412339523,33.444250736147346,37.607889860117595,36.335297657010784,42.54214506023511,41.88500043769731,43.81302382029614,43.37459556581867,45.3688487068999,43.28132338954067,43.52686551290695,40.798457435961524,42.43595776964048,39.92039433435546,37.77031397214366,39.58000491787505,38.97834646159079,38.825270618145616,40.37008236487588,37.945560543389306,40.02590414954239,36.15170622670675,33.55721740539794,29.047636062675675,28.327456779698615,24.30192579982403,26.933786446240994,24.294247771411147,24.966406663094002,28.599554655752026,28.17302673166682,31.202169586994895,30.016876545727154,34.555009964796675,30.408080857708356,33.230521322567974,33.27250446019476,29.299073680912844,27.966183414423487,23.61598919777821,24.267914829447207,20.06757571778663,22.22601127978104,21.625994575290523,23.421446325066416,26.162295118843776,28.16081444857856,31.340435395923794,28.076754890018528,25.62190656165139,22.31113995808971,21.992776530441496,19.846655631901353,17.19761694478716,21.231585305029576,19.734069589915563,23.97371473281802,26.618424325859824,30.732723609794604,31.722287378697676,35.66581581199991,36.9194310205385,36.43444789349598,33.664676005335316,29.526799687985836,28.73749063388732,27.417910158939904,26.393737823418515,28.444504997878067,30.899043309679197,35.22066981541198,33.22539269863175,30.803617603051116,33.287643569158064,30.418153128001386,27.834123455219004,25.679205763791582,24.96919141216227,20.92126485802247,21.656350625908576,18.735850042055603,22.11807169951243,19.370471801813768,21.328708360420627,23.528425957098595,22.86302940549076,24.70859758206233,26.086914036731272,27.52985597188261,29.086009867170397,31.429186891850055,31.760194516254415,35.60514878437149,36.78523199926611,35.81931103302176,37.83865911716161,40.056371037161014,37.34218628628111,33.936291961202414,33.75631058870451,31.638730754388572,34.102825428858225,34.72783722796893,34.598836049037594,34.32770102359977,32.0573469916217,36.80362608357173,37.86677558396295,38.72553673563035,39.25261887015242,34.5823000842374,39.640459823030085,42.53349368625654,40.134142857622,42.82715650134976,41.32299723435474,46.280831191687554,46.01654126044228,46.53163036279986,46.92418141175562,43.498984939147746,42.928721085730814,40.43340993795147,40.69473190925177,40.84233930488298,36.03480570015088,36.66350238536548,33.89732252960773,31.598771532257487,33.4740149393775,30.682522752597524,27.615903127915644,29.265771175820348,30.320792887266226,25.565992756363634,24.63350136221813,27.77325409387433,27.204601306994878,21.88457154945244,23.73945009554766,25.520118270743065,21.416334848653864,19.80133053767164,24.263059713083265,25.42578988576443,29.101177322715838,31.8732595264259,31.411486404343023,33.34648511936366,38.363434561832,39.87514125342498,43.5097550900712,44.079705574510065,42.26760707217801,44.11907252368297,41.42970222849256,46.131838769330955,45.602880466654696,39.988332910570016,42.56963473843507,46.755063275559735,43.272803550126966,41.02626251611342,44.48004461616816,45.34302794768226,41.17578380956982,40.205268647766594,36.397363815792076,37.37199200558215,39.672850527403206,37.76226375633565,38.7110335879455,39.908634270806786,36.95470726069397,34.503242434746724,35.23646060021644,34.26168066492493,30.208975532558284,29.807508354189505,30.119390753154008,27.274779812201338,25.63895640406321,30.08977388277136,28.916978672418416,24.1762029873154,27.42534207662956,31.26953860918077,31.655270966689596,34.586563900319526,34.162421342378785,38.397080636279895,36.900302637153835,32.24008273891367,36.42476470079886,38.28338240790455,35.35438806118382,34.83906705120571,40.718244851827606,39.891176717806985,35.31667270905529,38.0645581382154,42.66651062400151,40.83156114898638,37.49807185142564,32.978348451878,37.299898797713055,33.36804848963656,32.67221008072491,27.80394730452494,26.686215280858736,21.84630248059734,23.42329528561096,25.672779198802985,29.457843502178985,29.888927737763353,29.939690488862208,25.950326540556652,28.22353049753372,24.014268468981136,21.84496613098484,23.74492935592774,24.412170430303306,22.410665308215556,19.557530336374963,19.740847077114044,19.09447072526777,15.85258643890561,14.286166224241143,17.06007360060383,17.139619368572102,18.75005525661915,20.20703634157834,21.04414270607651],[16.53481878409772,16.803204393785098,18.82960358104218,15.226177748853042,18.678930964788997,13.82653428846837,14.378652547415818,16.239164047181852,12.78255472021936,14.610703528675026,15.432757013417554,17.84874851914044,19.737479143735612,17.04523453259403,21.155944422793265,23.52522666614617,23.311125524278996,27.312197796258715,30.07423256813171,32.941331078545495,36.33040744263239,40.463538778785406,40.92207494730732,40.89323509320324,37.628271439495585,33.66467643586833,32.28324257537515,28.19261127395273,28.123369259732453,27.2565327234,28.574571505640574,28.570131346264375,31.12899883789596,35.0057834489906,33.71062591131212,32.49528858196228,32.13573656546581,33.687639364516265,34.27660676072037,40.23233776726359,37.9342362317009,37.55071503461466,42.01041151502645,42.18474825849011,44.475972882998974,44.288138155478684,48.19068043450283,46.73149850163693,42.81336596138171,46.83725970450899,48.62742017344781,47.77741863140461,49.13931796346053,44.29382238959656,48.75305761089416,51.46793526219651,47.53258094962569,45.60770767074697,50.225251983540495,51.233186357629435,46.20041960243007,46.479337812374226,43.86636511271481,45.70666886609051,44.16957214836812,40.34068110691094,36.90067188882118,33.44466971188064,30.556616723263968,27.56749019070527,26.7651051610736,28.467073203675973,30.372541595826828,34.476326994812005,33.65992810783389,39.996247478930016,39.4678717982531,41.70762912282252,41.35344291545798,43.32931691288365,41.650428404441534,41.93634200212663,39.67383557280467,41.254443072463275,38.412706988150724,36.25798977550665,37.66843552348926,37.49293997408478,36.74709013406653,38.60243390810158,35.8411969399985,37.803155013586434,34.04827742215796,31.800591844186425,27.247784608922775,26.5590884183433,22.41694221274618,25.789592686999004,23.558704399979664,25.182765639814434,28.133977085514598,28.43135668532017,30.76760950800829,30.143493614874174,34.48720452627518,30.54960315090828,33.78485792981441,33.722406094940055,29.988364677785302,28.653919078353265,24.18780504370682,23.974378509318328,19.523886570794037,20.89756024140238,19.588885338419413,20.95032455784574,23.41994251595046,25.121071737097232,28.021223638740913,25.028897975232685,22.3246012313391,19.24042702070339,18.866264479475525,17.2451738708274,15.31626531879343,19.772240140266145,19.550496987681058,23.508401107408023,26.604258154862556,30.633089377144614,31.680309272212455,35.820841142112684,36.55031491648714,36.184033700704205,32.97675707917529,28.62863517458681,27.990746970341096,25.97444372294417,24.369787213828804,26.305593357743373,28.140849974684215,32.38750895936132,30.41444091630508,28.307225725276695,30.96191505623724,28.293579878774185,25.76226471416735,24.104070848566327,24.017118448884265,20.26548673446091,21.93320822720896,19.261059439769845,23.299866444772462,21.120952630649803,22.219497831437945,24.026469669099686,22.687677393409675,24.829875128610812,25.40420780230837,27.15650675095696,27.99031674167948,29.88754232576809,29.86078252283268,33.8566508406354,35.139345760346444,33.88640889926758,36.360928480409804,38.41775220661503,36.006404834782245,32.36078003488049,32.47644821825722,30.125680562454807,32.800609216817605,33.55457922026614,33.49012151650638,33.638969506740324,31.08890657011135,36.174602533318925,36.847188957240036,38.025819015088594,38.20298782582744,34.018952893565874,39.020513663839516,41.75786829966562,39.09487010491464,41.364987752177846,39.52241748514803,44.48067331205278,43.870912544575674,44.78355877500076,45.30659315382246,42.08238475404235,41.80021291068397,39.569852460177934,40.15366184644106,40.645448606369946,35.93421928314547,37.03567785032906,34.587003717339606,32.484853816040975,34.88298178452699,32.3213314123035,28.933403730558112,30.737392620362904,32.322338639165,27.61769475408807,26.191241006740874,29.848619585258025,29.865967949264277,24.33108417290427,26.144022829873396,28.385017333992906,24.516303816664394,22.522915100748687,27.044584523225534,27.752664810476208,31.991735805370645,33.91086864402386,33.6270251251848,35.949274878647415,40.825079146981615,42.73797301457467,46.006421124317285,46.67686545939517,44.62558776821405,46.39514957735853,43.50945426364056,48.051627982530825,47.602136378077795,41.72824317722556,44.146979161412155,48.25502158435311,44.67241991207558,42.21526597352437,45.4261437425465,46.3001396385707,42.143614951303725,40.72846261795017,37.37954517659687,38.33987643700578,40.949703289901464,39.50666774590808,40.52648827463211,42.145361679961404,38.9514460894827,36.355525144230214,37.67703950313581,36.77479898386254,32.42833705500557,32.25570454146007,33.03437465699897,30.285958970190276,28.52937632135337,33.20622167996336,32.3398513369416,27.638365590070727,30.72911422477687,34.65181160635305,34.72658694620449,37.527585910339596,36.77586391662223,40.95585572181792,39.6503855095156,34.682929454785636,38.61207039551608,40.54998148386961,37.583280764746,36.60860489284854,42.559873637522514,41.78085666288745,36.90725222503446,39.37117367874559,44.144158286569024,42.28985360100014,38.74640899638302,34.15073920660137,38.370872049950556,34.27632350064542,34.21886789531138,29.10021236922142,28.269702271592895,23.484942332704787,24.42282159050378,26.481726501486218,30.098919758202264,30.42188853951053,30.950507837580567,26.61949216208027,28.900692936230016,24.30322169839634,23.008928034357282,25.228993265140748,26.48903342647147,24.32786430777831,21.11214924497892,22.095254974185337,21.865728529880233,17.858703470905688,16.655816230891716,20.12794084015673,20.72965913098627,22.446949440905545,23.850960019976043,24.553152528351312],[17.617722754920184,17.358887468165747,19.093365423658668,14.629137715659622,18.084481421405737,14.473953915176928,14.822133606481282,17.538495049841703,14.22375831248093,15.162789997364957,16.461662012705087,19.520948496029792,20.369873880394422,17.233465429847243,21.786874570466804,24.14227914220118,23.162596071750503,27.047839307584546,29.20610558406275,32.27237501970229,35.397603025824495,39.580207048584974,39.733427072595425,39.37815112649069,36.27623991976335,32.3271431034286,31.20931884381042,27.336178627047936,27.850964431240836,27.563331555012514,29.12538274807666,29.53075296847949,32.389516223654965,35.958714968580686,34.40050666557614,32.71487796327456,32.58644970795824,33.41442476298446,33.698165456296266,39.67629389776749,36.88620720689014,36.68760378480479,41.18858048148886,41.0138033919607,43.05655573173782,42.58424488483599,46.53964096418785,45.382837389862125,41.3005249868925,45.262557067714205,47.39893585187306,46.74053271539762,48.29129700592543,43.56176726969502,48.29157504998969,50.82563091353385,46.747242514454484,45.22230510142925,49.88869882100771,50.52122922680512,45.53981631976987,46.125761216933,43.77007704789343,45.260868746237556,43.50843061979058,39.891654738085236,36.270398209482046,33.143651904637984,29.914963923644727,27.35963621364809,26.190735723533,27.918493472118563,30.2240612962148,34.066365331061135,33.7048602540785,40.16555549390929,39.49681713803216,42.10871958482039,41.6061365051051,43.33387864304197,41.919680296718695,41.93819404545064,40.031233822122374,41.26789683824247,38.13183635143155,36.270221108290606,37.538832778600536,37.92189199519098,36.83876961533434,39.22724785671776,36.31604720222097,38.37323597322199,34.806753180374784,32.88048819781313,28.2754348357256,27.853237937895184,23.616149740927796,27.292973628709284,25.24881218109421,27.423000165713123,29.663768610418202,30.0779535126096,31.851099886503995,31.230395835873846,35.073640007298984,31.104287394602384,34.396447232543444,33.95871992500955,30.284633872479162,29.3203914586454,24.70160593995654,24.133301921363664,19.802972681223217,20.432934118481278,19.10769970599068,19.76414797582052,22.323649532217907,23.423986347762344,26.55310784542259,24.129199386176516,21.1000742225479,18.23398226152927,17.115398781780765,15.881544547983694,14.532477233506645,18.76817258946356,19.324724381772775,23.08329361127915,26.36492119069708,30.538735657340357,31.162838803453052,35.51352069059558,35.89864096790869,35.959307489598245,32.23262836616067,27.855840707011662,26.828775954115756,24.56475792943482,22.59225204532384,24.77431820740123,26.03211722136991,30.40444235313107,28.817735415454145,26.922484563117205,29.874046490063492,27.688723146259772,25.03759375520631,23.992652527284257,24.241222027261887,20.935653730410145,23.09125179556944,21.083578031519064,25.46420027898661,23.963755285381932,24.79092107835117,26.10804992316196,24.25876901961916,26.188741608708423,26.310162229796543,27.7193730673769,27.775035932671564,29.66001124402575,28.912002566783375,33.1627104527472,34.11374625747365,32.287957197947684,34.96805645068574,36.66176295553289,34.313014302035945,30.624304950339337,31.10592697386555,28.870815433277976,32.000096934231976,33.11405600185715,33.392476487602124,33.99767392681094,31.569822077516193,36.87836508919367,37.02691377301076,38.28836486629427,37.920821645009646,33.998400650217164,38.70839155224872,41.203224507821,38.36195324485476,40.56237147661848,38.66150375148601,43.52830220590846,42.41832088728263,43.47556495622123,43.8804692758161,40.88668750033976,40.56593585191691,38.458453565268506,39.19243301147975,39.76696587088172,35.08859504184904,36.518481393944796,34.15114122539353,32.47630834666248,35.06096827903498,32.9211030673237,29.279761264892045,30.79605755718635,32.845648924601754,28.31573312295473,26.1431800207412,30.128261209250482,30.848991664691095,25.026910287000145,26.54020301957795,29.1748399628736,25.678111149920095,23.13032228918499,27.507216034238905,27.812746025171442,32.57150269428572,33.61910701150832,33.681910911655244,36.34544647177617,41.11104591744977,43.399647698990485,46.40845145332121,47.32921253121948,45.19615650051726,47.062108365049696,44.211239086271505,48.55414169664414,47.95235528245459,41.92525173741216,44.39471384927201,48.24756526098095,44.46626338375531,42.00577861320631,45.107217446215174,45.70354222711533,41.505017126654565,40.04594199477277,37.014119744232886,38.357340090814,41.174915196060866,40.06772901732285,41.40005614430218,43.360017510461475,40.22088745409789,37.28755004164171,38.939130380377584,38.38188207255806,33.83889633859923,33.48563662545101,34.71981024830737,32.15490071870093,30.01537668646859,34.74526649247341,34.23209793520687,29.490919207058823,32.17045878353276,36.151668174841845,35.88279189827342,38.70636908413689,37.8379381282464,41.86027823529781,40.487502232091956,35.305907034739214,39.11855216402227,40.89217743982247,37.813347643798444,36.603025631709606,42.534145755459676,41.571193365539166,36.49682509641435,38.87998797716355,43.641822377393275,41.60239917029751,37.91326376410059,33.25436205156922,37.220313075263896,32.955238994153596,33.40349942680446,28.172472962297544,27.79434769979376,23.17776948426148,23.382166219544317,25.394476775090226,28.793373626772492,29.23659923681086,30.304491840179807,26.031001192229272,28.586189419084175,23.927162083399946,23.212205493167048,26.084466708059868,27.71331275494643,25.891875382923526,22.133141317373376,23.318424132713755,23.745246518752477,19.59720601887494,17.9174489811379,21.706980561872296,22.937904058669297,24.65210364876898,25.897010710390692,26.395618510722585],[20.194435798375405,19.250283650185875,19.848316706496426,15.129615760836403,17.109738766662385,13.924741122613232,13.01547763971799,15.789703159914238,12.174431844349451,11.832111501337433,13.297045732493894,16.924764414187333,16.822116641581005,13.334770022512128,18.111064155999898,20.407011905962307,18.986406032424007,22.76829403548214,24.747258901594424,27.840406183561413,30.90748044887893,35.09588781723509,35.221478501435826,34.88042958319018,31.783164383886398,27.814835288615658,26.762123247996065,22.933013469103713,23.604276667133494,23.650623824163713,25.28664031905143,26.01315524900996,29.065206231073272,32.34701132311288,30.619410024648243,28.650619460736834,28.753380389301384,29.201926221502774,29.465509446480525,35.526377260707534,32.585860353422476,32.261823895795935,36.77767734567064,36.59934645552658,38.60082069047175,38.19827306105963,42.151077116512745,40.99510050416436,37.005144138851705,41.07587656337969,43.14749800747593,42.59301154573466,44.03967526369436,39.33457920006981,44.11645653587111,46.50440448922949,42.3602807621029,40.929022796327395,45.58315141092911,46.098465834322845,41.103315446711264,41.7582234170569,39.50395319150893,40.89024937885664,39.06278045465315,35.50396974215701,31.873106442575374,28.848711831885122,25.598870016067607,23.24488189401419,22.037656973195425,24.008125256225448,26.2746322249365,29.908968763940152,29.626261992923304,36.13239438006485,35.30829810212553,38.10533040355039,37.50922115853363,39.13039806752303,37.90643157471236,37.90095039557854,36.28927808073117,37.4835444611827,34.18907771612559,32.32368614596321,33.37518927169451,34.033670036632095,32.68663385990475,35.35993443894023,32.384122152007286,34.5674886060691,31.15506639779676,29.45283155111818,24.829498789786953,24.746690993390985,20.459663161491818,24.265190794397068,22.483350771771782,25.349684547399903,26.767765688058127,27.63933119779356,28.760207180862967,28.58686451585465,32.221245741781146,28.570901750550302,32.21090440223786,31.845814508148077,28.55890854758321,27.422678489978015,22.943819042938365,21.529557461766935,17.135006661014994,17.112507938738062,15.177960099582187,15.616511343423035,17.9325863324761,19.034790394933314,22.041782936116885,19.66146101997971,16.59437223497656,13.773961654635182,12.752112927518247,11.811434251705045,11.128736292369766,15.672811270288637,17.39232536039042,20.639690979677454,24.22772245403201,28.039367112753794,29.01966727543255,33.34639163950644,33.29991150969734,33.216408900862454,29.38713299387251,24.89539683474217,24.43193892976116,21.520497239942806,19.19814795070398,20.994863870815397,22.06479707908444,26.255046453146143,24.478931239117045,22.711752060199142,25.642925382772383,23.510184923774467,20.955429468958965,20.221484174409362,20.94231324629648,18.0244274742225,20.89820872546261,19.2773372045326,24.040001443470327,23.335142880233953,23.389039775108714,24.121574585580518,21.703208652625236,23.7164193598474,23.164107078715343,24.775591741265288,24.32654280565418,25.796510054636638,24.968062942717424,29.19236909538196,30.357883448753526,28.640229724081326,31.617688259505133,33.42023508938828,31.428934757301942,27.546779831200173,28.048574078804975,25.490369704664644,28.497523852908,29.553629179419186,29.78219703409336,30.648891421702647,28.050464871719925,33.51735562050252,33.39033736953368,34.87467635237307,34.34412787669054,30.8581506097304,35.55071022338664,37.9715321731918,34.99081200721944,36.791207655203195,34.650363401630614,39.52037519540311,38.38794044970524,39.69256964769606,40.30170826801563,37.37931823302811,37.41152150141112,35.55578406077933,36.560937826328555,37.517060731777576,33.04960515930365,34.81816610840116,32.92862814291773,31.189718292156034,34.330703524339114,32.231793796591006,28.4540379371106,30.4515878281844,32.824337866215075,28.37871442786239,26.32646448188915,30.654531007220385,31.58418283546899,25.986876699028215,27.77769348347359,30.679116827946007,27.308450755560308,24.991869395042894,29.552478033336882,29.450408479490466,34.40047781466126,34.93741062675668,34.73045357439216,37.61910312263354,42.098994756705785,44.6746433748127,47.17675655796478,47.935296801582645,45.46211035635672,47.032870954069914,43.8566234022625,48.05160391798179,47.757855289058504,41.55616020180638,43.64622783691864,47.57361687737073,43.920745261319624,41.14821290943515,43.90991613621454,44.84602508753108,40.80923791160757,38.673525744099464,36.10994006280034,37.00140897814568,40.03754191854841,39.38187086699244,40.54757934364866,42.86389935107474,39.40311319688005,36.53755796349142,38.80686759519409,38.15102227885914,33.404047067027435,33.52652795893212,35.14037259007935,32.67620614634868,30.68570114420761,35.633476293715745,35.39590156482244,30.88884833854464,33.60988705635074,37.589268520055526,37.07661769962429,39.53516473745204,38.19219614657179,42.189519079527074,41.30197900513715,35.907440784016444,39.266356982551486,41.36444387437994,38.452540279226774,36.68072489907192,42.626121292566374,42.077474019835826,36.83508988187747,38.68410898029985,43.69347901861352,41.99438376383383,38.21037097395749,33.67921296403375,37.79528138307984,33.710480857240476,34.635156343978245,29.28493467030016,28.643453466486907,24.175782639511873,24.355362289187934,25.80770723996625,29.04210029531474,28.97858121203092,30.07149021409624,25.304934831609913,27.42564316094675,22.469306919850673,22.614180429814486,25.258942460594014,27.403568699848638,25.27373763461261,21.540391542622096,23.65693106631726,24.218462623772265,19.421426915448773,18.687601819128393,22.987598938778646,24.524208520932305,26.419313628005792,27.77440533898398,28.41079572769599],[22.92564591507762,21.696654358044093,22.144618950759877,16.857791770427088,18.722258606756395,17.073859304631913,16.10267519623363,19.4223914542887,16.147783155408433,14.946997874880982,16.583477043527154,20.58575783680859,19.488407951457294,15.61612380959564,20.428124584288355,22.68367873003946,20.411885636313347,23.7248423087631,24.6939322382733,28.10266131261884,30.65604013815485,34.89675712585554,34.55416442121373,33.762809180383925,31.023135560012467,27.098415053612467,26.589583050868065,23.218328063413775,24.664490486324844,25.51637176777381,27.15926872792883,28.51252271339692,31.723378794647637,34.52981659012473,32.63042020921683,30.131139043445238,30.649679508601427,30.145455450413237,30.054886604203247,36.07204569079112,32.455832168010396,32.265582777077825,36.77333102202823,36.13854454312809,37.70170288596976,36.919012191075765,40.917566518990206,40.248074568085556,36.125279016530556,40.12516306561874,42.650941062039294,42.41517073715224,44.04157293757512,39.558557716739024,44.63565062909156,46.68282308870945,42.354544746109184,41.47637338948488,46.1088512101363,46.08779660449499,41.166628186328644,42.14961711341042,40.23596950340315,41.06509997768402,39.03884896752941,35.87177234956618,31.926293278362774,29.447920187812855,25.70260132516504,24.013877461864205,22.263159735609598,24.049902851039,26.89436269094062,30.12812764500206,30.56910299558993,37.08092846018794,36.228013181989006,39.4505206072047,38.77766463678663,40.125332241960486,39.34202696565281,39.08764695827806,38.011062935249385,38.81523899892588,35.18570619939252,33.67535301790324,34.4137536555958,35.76126700253114,33.8945271143028,37.115846748604916,33.930577195157255,36.06361217816463,32.95491738898437,31.72497481848093,27.229419209474113,27.328160114106822,23.159709604101607,27.307416755342146,25.873602396281548,29.216888220727146,29.95961036745415,31.048208961706287,31.534944511143912,31.47347493929607,34.501043052977884,30.94513207257444,34.58951114372705,33.82624155464655,30.701139439061816,29.989152856966047,25.498210300327557,23.709824154909448,19.678826796882234,18.694266822790027,16.701344823248654,16.01905505052501,18.14044654708484,18.189525761097183,21.21429158749078,19.838082952221427,16.40190067366981,14.282295701651517,12.239245226945439,12.339493158161051,12.871164525594736,16.682799236914203,19.40727166482682,22.189421113099314,25.871052914800625,29.704675208636345,30.16762152865238,34.651786029198036,34.13727040312483,34.57367088336929,30.164785507322687,25.753852787816687,24.844728942764622,21.591820346778942,18.700794162347258,20.704066364683595,20.640214911299044,24.85516025844764,23.67109908555848,22.396390580979805,25.664480290369674,24.28167042670181,21.73443895665317,21.915859561618873,23.111765185598074,20.873057063915567,24.14189221821781,23.139013349015332,28.024425808407106,27.75712290572942,27.610265194874295,27.982669980379413,25.188176822192627,26.99993834515064,25.936386355052697,27.21596612050035,25.821431721587405,27.096268972091817,25.345958157644787,29.78029921898194,30.54533150317814,28.053470137940295,31.355816252195137,32.60005542914826,30.808432309775657,26.90841039476463,27.95767801005775,25.576751143298512,29.104661757260473,30.584460724906613,31.205083236149303,32.624573560167576,30.16222397296822,35.769940434598574,35.03031508089559,36.642057750981145,35.45916267568404,32.452372520855384,36.6965196127694,38.761357304230536,35.574972727497254,37.15346599172054,34.88810257467171,39.562771567255524,37.727813843120806,39.31577378164917,39.80525977536767,37.26742841801001,37.31699094610697,35.70113436224474,36.92773091465571,38.01313715029014,33.68600591266073,35.856820086222854,34.1146124921513,32.92546081747752,36.20665000189353,34.61072499890313,30.649329288079333,32.257308346152534,35.07283533146364,30.897803672385507,28.090224374713188,32.638025219167645,34.25978735183324,28.469885520853403,29.87276113149559,33.07525289239287,30.109381329994903,27.28142073334422,31.55020602992513,31.087964503875398,36.46504433135316,36.098548254673844,36.32736320026784,39.51973126751724,43.85361887422996,46.77766585149577,49.02871279531526,50.074950464000395,47.566229254841076,49.24919653046938,46.16185883875271,50.102230411011625,49.625131742819555,43.32740975194337,45.464514857373395,49.05020687458655,45.197408199716,42.4652781905165,45.06070009716015,45.63915851334377,41.59911225912638,39.444081202901565,37.318240303335344,38.65426814146949,41.8831754530568,41.602320379804205,43.09305822876015,45.722624846931886,42.366320118579814,39.1948773059977,41.73768094904322,41.42910137170574,36.56918230139994,36.48297260240898,38.47288559194629,36.191570819900925,33.865673231330796,38.771133167382004,38.821787531123675,34.29041830430599,36.60275089179308,40.593740063850056,39.78738977999034,42.286728903231385,40.89052577650435,44.68146912594902,43.68439436884855,38.15620442809821,41.381733275676744,43.24369070244556,40.230005316719286,38.26464463592575,44.09867769901459,43.30805559126945,37.91862379379798,39.67141225245762,44.581474040563464,42.6510747648472,38.74844565114811,34.214305543028395,37.90732845509148,33.663838700101536,35.177011696897964,29.830339425917455,29.787674431222694,25.647764983587514,24.94223296794495,26.318612994493833,29.16698930206116,29.2860375999409,31.044398554978805,26.508689258127333,28.898116075722907,24.04349974074391,24.831669436931296,28.07370552151372,30.492213312980333,28.74148845362012,24.62325435007589,26.777356379551396,27.875055554793445,23.162530555540044,21.94978717982589,26.30479090036116,28.24961701819643,30.074205163476222,31.23981003696439,31.63774962167406],[26.608814710941143,25.232301516255752,25.055659084183834,20.037365825353206,20.65042394864777,18.791079843860345,16.715604341658704,19.358083768028802,15.685379383036215,13.134493908272022,14.18054428550452,18.502316794788964,16.735971475965002,12.320719616235056,16.717618795997044,19.09191413049897,16.61780945568483,19.39175292988157,20.06994720355638,23.760679723523207,26.15339877938779,30.527006486720865,30.195592347153173,29.606873494639373,26.985469321960736,22.885918442180326,22.705576137575772,19.396562677438446,20.775658022142235,22.01784542590026,23.027494509706138,25.084038708490656,28.152141979902222,30.536605524795945,28.78001520314113,26.09470949845197,27.174035330365925,26.404919355104113,26.575073117674165,32.77404714681709,29.06792319703247,28.29089361276056,32.818143094517204,32.3983701291179,33.854998319188574,33.3509369975072,37.33803293100514,36.65381311027421,32.871352174342206,37.176403982873424,39.422121108746055,39.37501846909144,40.621217087982274,36.15399781220249,41.150781814528706,42.89599055143301,38.457426129209665,37.540022803436266,42.056027515906706,41.955118418507034,36.869721281363354,37.63855688899286,35.693836160677385,36.331338618825136,34.45345767604687,31.40550190225521,27.177218006168783,24.78272667487022,20.82646152899822,19.240527530100163,17.3350886706259,19.10503560770434,22.0174511433369,25.175986636186185,25.83841781873756,32.3170629406209,31.640909128143154,34.963572989346055,34.470203645993905,35.94122704223878,35.519202057773406,35.56762889388262,34.89409606993873,35.9329248725539,32.209072186843144,30.43069136389964,30.652201607052653,32.118555757504375,29.729256875792107,32.94874606737942,29.540528873677296,31.50252550944505,28.55906403194595,27.65912086425723,23.35034482436079,23.53853329238136,19.57277978317486,24.086673931667487,23.220879843675498,27.254616956902655,27.344336977350473,29.27383968115494,29.133545596676214,29.92699679921507,32.98512734749042,30.01680709149562,34.06843840426647,33.65604909175382,31.045599345118593,29.897830220086306,25.776415952355222,23.118166819980143,19.068507011627325,17.54173240343457,14.377557236940246,13.563461733637036,14.671187685899422,14.852924393243093,16.88291698674705,15.448758999271,11.991381952413253,10.384980970692395,9.349479194366676,10.528617777047447,12.245982895649277,16.314847297774236,20.095114556291477,22.21759654256458,26.0952260306435,29.266438610835834,30.43021595998043,34.70101527914722,33.772320585740815,33.76848909276896,29.552321461637312,25.084376112252574,25.18841200135312,21.19506147431397,17.94019074760577,19.025934563101703,18.54966615838991,22.16893006673423,20.43003056778468,19.55801580621229,22.58655261895591,21.069757089500882,18.95357934840366,19.43873072330327,21.3266904466878,19.50572805482116,23.41191374277954,22.402619050474886,27.39019789017246,27.4810039914664,26.47850379952082,26.52180058709757,23.374152952854,25.562896849388157,23.716243704132697,25.691598067678726,23.99960270740827,24.371532352939866,22.944324526394375,27.093355054897547,28.48206526658384,26.449022532732933,30.17292530689414,31.679832500085666,30.479113854375875,26.37675297812765,27.324343654216868,24.423209614235198,27.449921207328188,28.593697750157116,28.87148490712094,30.425671219201767,27.51919911402487,33.17651527630641,32.36401465389629,34.34809059160765,33.26644885646719,30.921188040260017,35.25685002310366,37.30893196802281,34.016213663466445,34.86721087446732,32.141313406394154,36.82284031284557,35.148327236686086,37.201992463913214,38.11322257482846,35.652731326632264,36.31313868358416,35.06577587960639,36.61244656505623,38.17409295830621,34.171688123221585,36.583471975179386,35.3834955251339,33.9258682939315,37.68232128154733,35.91527888666489,31.997037008867128,34.22788230628879,37.09067192952673,32.93342046147992,30.64574183323464,35.29767143647338,36.720865727274216,31.29440402194,33.06186625730695,36.26397092733296,33.1933772333362,30.806609692805864,35.28253659747329,34.72916090594053,39.99952104703255,39.65484313481177,39.51703944000276,42.72097523580422,46.86235875215672,49.83276332541934,51.777574682602044,52.54549918764821,49.768221913194814,51.10186045942028,47.67505509541136,51.54933802353275,51.47779304754833,45.1133506204598,46.8093924385051,50.58422965566401,46.98636242524673,43.943196136115965,46.191366866360504,47.26688472674218,43.45066977011656,40.59034343731311,38.86675349897563,39.49196979798398,42.83244304615195,42.87103648972713,43.9824375069942,46.77585432475995,43.04657682010193,40.19315681405223,43.172723942986686,42.53720056889786,37.62834657896902,38.14646597229702,40.20529589431771,37.91158479049461,35.9793999035412,41.02463659035155,41.0927835467225,36.793351875070066,39.38225709846777,43.331973593934016,42.52535416570721,44.690600458820676,42.93138559897283,46.77237972110493,46.26267035551622,40.67881863964044,43.531306638863704,45.77323894425397,42.976723489619815,40.62347002564545,46.4475325780943,46.1283399426058,40.70413341308975,41.980208600895956,47.100346030668426,45.571567400253535,41.66446188616036,37.300424487247184,41.185767792542194,37.17994730063833,38.878414342480845,33.51145062215196,33.08192280070952,29.001427813764828,28.59611915671672,29.54537773743923,32.30488216808527,31.926525403465277,33.465725088358184,28.49156059058895,30.256156788395792,25.205347893277377,26.57664326803816,29.165291908736762,31.863690241659924,29.58980870624531,25.914296432249497,28.802068181084152,29.609147629115586,24.438575477419974,24.347396820238195,28.899956133300826,30.69385015527912,32.648449866024606,33.96763403811948,34.531242282953855],[30.37484430707552,29.140858347343574,29.309350184965798,23.999851353430895,25.024221552237815,23.700242088445812,21.886394307120618,24.68199125891284,20.98024291402601,18.37004359210927,19.09707097645786,23.431429049049974,21.577293181083064,16.96034851814577,20.773697174550236,23.279996462664595,20.576587687043137,22.51181406138716,22.073047937387937,26.217762706222764,27.859805422717596,32.3139257957288,31.465609924337777,30.52278039390395,28.54385877449126,24.49207480191855,25.18157388063928,22.48289619803407,24.30165800338913,26.14018953086487,26.48557401629533,29.303237852963658,32.13860230368897,34.04507958056553,32.50125520206392,29.535936497077383,31.199090886198295,29.772356161031976,29.832447389284567,35.94519492390752,31.671732825552812,30.683190367599728,35.10566512187775,34.37619937396935,35.223757001930665,34.43701775682565,38.40349064907221,38.31975824240207,34.64415725570915,38.94817747182941,41.530982164766826,41.89606077454372,43.11634145730095,38.93197486710432,44.06210488931537,45.30218099400808,40.67796865486246,40.24041491816527,44.580974840425135,43.93416274999925,38.85350643343947,39.66587498496873,37.96321530697241,37.8782836096409,36.07390367667013,33.59107435214677,28.798808704542527,27.035344181541536,22.448316167612184,21.453512615748046,18.91019654324184,19.856347592260487,23.543015362036503,26.40468495498847,28.025050199920788,34.276610375775526,34.02017078917324,37.60387987314126,37.35793980303382,38.78823138000987,38.9408609502621,39.04226748835311,38.905902113338705,39.8023001825999,35.8754136027407,34.24535190994765,33.967040569436676,35.87004806595997,32.83568274350142,36.18914622445609,32.45978478872313,33.964906654573085,31.32631184155055,30.931983123985546,26.975846737961692,26.928042094402286,23.32079011626948,28.319508668594768,27.875630999637025,32.13682122452968,32.091124021970565,34.373211332896176,33.93758646879934,34.98764822749518,37.793834224834356,34.96065534523573,39.00031231309465,38.400407059515345,35.865958087962525,34.936942755576915,30.809771566915423,28.061906558427918,24.20486483472022,22.30555251934306,19.098953608976213,17.655184143339135,18.187273406755466,17.405369449748797,18.560014410553038,18.232261404111743,14.762804516015912,14.300241035647405,13.051513136208746,15.052602789499533,17.25120611469497,20.81817815387215,24.91102651716881,26.851229884544686,30.711517088863648,33.878505921588264,34.699999381813015,39.03592730041553,37.79777661176129,38.12931340104344,33.58495029770405,29.252460509083868,29.033270504182013,24.900639736035117,21.29309077432648,22.394870035747307,20.67667203768704,23.922258402299885,22.714472347880747,22.571545089170012,25.685838266653345,24.775678535694798,22.91311762618444,24.004660399365342,26.20340357666004,24.690540704782162,28.691035191690563,27.713467789546943,32.68294883897242,32.596318142575576,31.540004899054782,31.672183587979433,28.492971093780415,30.75971842726942,28.650179073330648,30.646134038654917,28.480157358355754,28.504449694824274,26.56421320172642,30.671659854197706,31.877869458736942,29.28554159891698,33.296913918223034,34.26875832070819,33.3442619866659,29.30804385940137,30.717546161494354,27.991915164970916,31.287402190464192,32.65156874512315,33.09858730619922,34.97281627088916,32.036124802778815,37.68826717359863,36.559496127481886,38.70760309465726,37.25682810205739,35.386240616464576,39.39156916546311,41.15773071886879,37.73401843425655,38.22750346558714,35.29692521642692,39.72315560644598,37.441826054951186,39.898087706806436,40.779465559001395,38.74091226371683,39.50557918322579,38.520285311908474,40.24726360861401,41.8967069845394,38.03278485911073,40.687479383568736,39.52905285261036,38.44599346324455,42.18071682912114,40.69377027680477,36.69772776241652,38.59091622622781,41.640950380823476,37.59137032376331,34.82451620714982,39.52052380854687,41.277737008643335,35.636596913322016,37.093633407444464,40.38572795389106,37.462049807106325,34.690039193421164,38.9306710617302,38.316450431652,43.79968780434447,43.0371435505193,43.31762814674256,46.649270493621664,50.805393556185315,53.90999042486897,55.86661589396617,56.87767269439802,54.17551525830211,55.65861369292328,52.35589274893379,56.106648609745825,55.85064709536069,49.46482210077076,51.26850960701882,54.792818488406844,51.033173237774484,48.08780804241137,50.26680193473143,51.00834810239032,47.169014967971144,44.42983331163332,42.955115266286676,43.95312041865416,47.377919958468425,47.56664880519691,48.88480338216894,51.77682647587616,48.13888113280149,45.13209515308718,48.12709648554741,47.65744148607724,42.72877678106066,43.05291334315046,45.17945261577286,42.90877180720999,40.790736831732914,45.77841099005958,45.869530229034446,41.44435676198089,43.86048059286646,47.83651496007573,46.9696029269998,49.29248948491464,47.644429111390735,51.39026549297203,50.666422161501224,45.05680943518435,47.97021817488927,49.97000882935797,47.04844225646911,44.73358629266788,50.47734754546329,49.85573356678371,44.37683261568604,45.73359200011906,50.699910030719145,48.882225558092486,44.91934542628366,40.523938289966935,43.986413162814515,39.79171387312411,41.80517828088703,36.50308339011283,36.628507814401274,32.71136878412662,31.687236760276356,32.77961891123684,35.27211512503163,35.202748274752736,37.236926943031015,32.562726426955805,34.59803669914689,29.682529229563926,31.215054634719326,34.16391520895413,36.88058861319964,34.789986121027965,30.945322385384316,33.62803819471043,34.592477483449386,29.54873979470819,29.02337848682721,33.487665805022615,35.303911172177514,37.15872626010833,38.32760507505711,38.67288589863101],[34.40380290311403,32.8543534007291,32.29083766795807,27.21603846268389,27.03179417181759,25.974841490713793,23.341383129246054,25.62332107213902,22.062525640523027,18.410409556012162,18.75593513714169,23.03504347206648,20.22440630685946,15.714432363655948,18.603202631082887,20.831357856242413,17.698967856727098,18.58255140982523,17.210715154209353,21.575583483430037,22.710868008550413,27.186094267050944,26.16833425565128,25.293326574856902,23.6293004481704,19.56922027843346,20.865221527158056,18.687225234704286,20.70579672854988,23.227248147038075,23.07030424974664,26.635635682208566,29.357002599747034,30.53875626933876,29.00975882247159,25.702454485451245,27.997721730731918,25.89863678751387,26.047368872604622,32.08010073488374,27.60676227078232,26.086316720960102,30.38569326852722,29.724523837303785,30.30902690388824,29.737976106258174,33.63390758849361,33.64813421414988,30.375223437338853,34.883667037109475,37.24082596968629,37.87844814274515,38.74807615964618,34.74684309580568,39.78913956503547,40.606389662284904,35.88862308664008,35.63601890263115,39.78647750648483,38.881122822586285,33.7632652529808,34.52842805920637,33.01018339373766,32.52526932086605,30.75859183725819,28.606875843220564,23.571616737705913,22.271569721131744,17.452325944202396,17.16542409591218,14.317732323301687,15.230198364002499,19.03764144123582,21.324355426555904,23.457952392444483,29.4889653589692,29.25130325304268,33.07631679126643,32.88263207710344,34.216818501439754,34.89057881713145,35.135425896168606,35.61877565657667,36.536328513578574,32.512620884532645,30.837763354805684,29.93303666258648,32.227320383036606,28.577734945286537,32.16434310000602,28.302213806175473,29.695404226921916,27.509276170578218,27.69240182096949,24.17018597405327,24.48429295817855,21.37422973510535,26.331982459135283,26.534937307139653,31.389047520995597,30.341134848738676,33.30436632639528,32.007646709509125,33.81599248856098,36.283429605846685,34.14143710803611,38.43477032211129,38.05524666703979,36.143378150048655,34.97107286813182,31.33491508250056,27.8055657919252,24.312344770206646,21.775385279699186,17.89432634628373,16.072040896482168,15.301084647446114,14.199553209247737,13.843079782877048,14.203957178782083,11.086313966819148,12.014963598019708,11.69892240397286,14.700275837191297,17.847082186919174,20.9597164425003,25.91755274265178,27.034308581919916,30.912902062281162,33.32452321758113,34.65501215562491,38.69149395534103,36.94501224194205,36.973898711086065,32.611628150464085,28.439512960326738,29.11247662852322,24.411049302583134,20.60022653523758,20.713477556954917,18.322495788695214,20.59755949565928,19.03875581410427,19.59594691705651,22.329330013656534,21.682111658188187,20.442520687489296,22.13460372512046,24.986195799356732,24.241931154214818,28.684898872843984,28.067711667233457,32.969700712065,33.526484580745226,31.69775786250768,31.27188708929239,27.742419810001625,30.067645439202032,27.157580530670483,29.49687096886255,26.806038310523437,25.869174781213605,24.01541532033626,27.662227724000733,29.319267623695946,27.113033710666432,31.473829139289183,32.56081575336167,32.33906757777875,28.257582750694336,29.62039156666308,26.548259190883286,29.312382265527713,30.416308396181,30.651641300171843,32.79948209062769,29.64553488434658,35.17357688734826,33.74061193822985,36.222833136597245,34.67003337743689,33.689626381348695,37.496559676894435,39.08859491680424,35.59751937283135,35.25872410706813,31.905034606610315,36.14444389629291,33.898908567512386,36.850264865327375,38.126529249455956,36.319453017000725,37.71002909813501,37.1940804218304,39.262403584114935,41.39365538607811,37.99092446028383,40.92030245338722,40.37420624092566,39.18298699904279,43.357991054232635,41.872114438035496,37.947254541459195,40.32176116174027,43.4940718920126,39.609008267589545,37.212798621886144,42.00761021304159,43.74641259627253,38.497545487302794,40.22301414966404,43.58628947181601,40.7170541954121,38.29756593368505,42.67040378265797,41.83795836561477,47.28550919872538,46.30883813684111,46.25682052831671,49.66043615077604,53.520756290101396,56.78064914720493,58.27598160552699,59.04460547085695,56.048496055537434,57.168459541258706,53.55900087221647,57.121196005212695,57.25280576267224,50.83324037411064,52.159187500798126,55.75493631751742,52.26059589621662,49.02931748354831,50.76716971007233,51.953211202854426,48.407802349923,44.96040847462134,44.026917467334954,44.38858468118371,47.91846967862766,48.545681962703696,49.562516580834654,52.700119917313415,48.76886831501575,46.01393255684739,49.51754211782762,48.85822772965561,43.90596847571564,44.756680150755656,47.08593792128883,44.91550016585662,43.08779450420774,48.157697363627065,48.40668644275118,44.27215494743045,46.79252839446466,50.69825046358444,49.71147172732292,51.65064767615851,49.59599603657713,53.28819094353658,53.07741936733984,47.41040954515973,49.845039170639176,52.176414564771356,49.49601716066922,46.727296712935456,52.37044435280907,52.23099453173473,46.73160545692676,47.52645802534675,52.64904077012408,51.26542384877361,47.3121013020701,43.156468862000054,46.74356238134962,42.85237794778135,45.147177606853546,39.86370834752957,39.64809009478306,35.91065742920592,35.07246275382304,35.669129447746585,37.97603270904801,37.39471767243392,39.27169422265652,34.294882171750025,35.71842435202116,30.79117459009355,32.994003175142765,35.42150206945198,38.44156272048439,36.05161791647656,32.574030629197765,35.91157759245452,36.79963430844418,31.472345601594903,31.81853870198979,36.450339207233036,38.3003873849872,40.26849221507685,41.54060809025025,42.01533667810264],[33.161307949757195,32.0469065928876,31.94042282233177,27.08720496732826,27.393412456899586,25.140944641598573,22.594458165269543,24.348709075412422,20.206964383547714,16.899700098235222,16.49887873730144,20.66676533069036,18.935727844967666,14.073308276448872,16.651900851354025,19.436749920758874,17.323131768481797,18.453580920155186,18.145982734426287,22.587197955988863,24.192909448470065,28.811586277100314,28.257472833714317,27.94714065968391,26.046044710315286,21.770552451613494,22.705093457630284,19.932658392926715,21.001832815587633,22.792064497708306,21.79711464345175,25.36372317867505,27.643376885577723,29.21075799179019,28.208161886108442,25.448518112324916,27.72486604109223,26.653371006745484,27.367270228933048,33.647444501180104,29.756479546186586,27.7976054067249,32.1772782285167,32.08059009866412,32.994232715342825,32.8503528733871,36.71230851374765,36.347303058140845,33.293727201994095,37.9808230100262,39.894518830371965,40.314893682599674,40.89061172791653,36.64318185960434,41.40224208160418,42.404889716632255,37.7721187322704,36.907872619551895,41.03036178599901,40.614166835163985,35.24404820892087,35.406010221622026,33.37989797050175,33.28911880093812,31.975181130443467,29.493902496352085,24.32135807261854,22.359729005996005,17.605897115960296,16.216774956624135,13.604090528768339,14.081738746738383,17.82383641303876,21.042117583725695,22.741456406984124,28.863123777361025,29.18391955217843,32.56188997742917,32.811069382779685,34.708748700679,35.14340411357161,35.92297859349047,35.98154405415921,37.477081786839946,33.72133479235906,31.495784813400597,30.6556803537126,32.17338588259298,28.68363168027548,31.46098376417087,27.453496290688026,28.465644526482773,25.859285038505394,25.706075260008785,22.11720743345138,21.7775570256186,18.62521591003809,24.070279351773735,24.31045335954921,28.999796987537522,28.74642570771528,31.972791601953304,31.26647003128016,33.288720840957,36.51677376072071,34.31092154387065,38.697896040344745,38.70913625687174,36.57898918019808,34.99363749552204,31.288678198665476,28.030520247767782,24.059146816357124,22.277302805061638,18.042537457770276,17.216053780841598,16.516341790289275,16.58229773468608,15.92892888690443,14.904034167317455,11.975671714400262,12.17433315426651,13.106968675930926,15.41815460425691,17.864229074471353,21.860376919370857,26.162559669856673,27.780700534955862,31.689654882218907,34.19005024169908,35.95498566800442,39.96233400999251,38.63228457041323,38.21122207651212,34.27040662838877,29.90502514696032,30.836448252375085,26.330670006474858,22.811371310029816,22.912388172343174,21.471704429672542,23.882893273747317,21.679409402809917,21.7955914854404,24.272391478491002,22.742271279157436,21.53789199172734,22.36888834606023,24.99076934317437,23.55094302704286,27.8087311255301,26.37968063225458,31.179113351488454,31.012246173964876,29.17798359341694,29.30678268779552,26.14102434245011,28.98878281266117,26.37357242473299,29.403703361045118,27.58882070689106,26.649012957110067,25.75724704594343,29.27137586678505,31.440692391264257,29.85492892035376,34.03901753839296,35.57996876579525,35.11054980176818,30.949712592463865,31.931758036450596,28.655096501572178,31.058790815106576,31.760252623251642,31.536526686259858,33.1562743105054,29.61190975468332,35.106235184942506,34.35663819612019,36.85284272487914,35.99155375244148,34.59639036986326,38.92683420830647,40.881287849710226,37.514436873822625,37.31342380749444,33.943508620762934,38.42823471837195,36.796042796336,39.60848172625974,41.024638532274885,38.86965487428606,40.25308488247446,39.50151709272789,41.3879363850012,43.38931020216943,39.758431383708015,42.36840531026499,41.58298296537063,39.95280628653929,43.974078629481156,42.03942288793906,38.22392772701262,40.83153165406379,43.63333103772181,39.4477783009738,37.521823112848644,42.15624179052815,43.32620968595467,38.082869850982114,40.0150026332985,43.11344862062685,39.85925549906087,37.688333203009336,42.24014191683462,41.79932269581274,46.96037034573214,46.78246685968781,46.55787572192241,49.71012664598154,53.83147380555827,56.73871754004895,58.64365874576352,59.25385190069282,56.37002637966303,57.493745033208754,53.860349276231226,57.710609947782416,57.916283825454805,51.55119075905932,52.95302472061254,56.846856653038294,53.42872394731803,50.20832155965679,52.18797454849496,53.56826198293627,49.91746604649199,46.614085843001,45.21367685671164,45.33824296889741,48.71940316752007,48.9421497825721,49.704999966808515,52.505192774801216,48.48540149782763,46.000423823217844,49.15894443254535,48.15995953481719,43.321235398941496,44.29260539595858,46.18725468886971,43.79005668419255,42.24245812627649,47.32698423476741,47.20955818598844,43.000697072775274,45.897083027055075,49.81902193301149,49.16840636009381,51.21336303305543,49.331803961895005,53.24352186989339,52.96803132526599,47.41754087502603,50.12925522152671,52.56808970001946,49.87232678052582,47.393079499623106,53.19581868308789,53.076508555629516,47.65351061695599,48.71796521692289,53.90754618660132,52.52372298888986,48.61295217637813,44.31793302767164,48.17372582221067,44.19803499278345,46.00375783304921,40.64425071369681,40.184028982650005,36.09251248277204,35.736571216259364,36.6237409650641,39.2997695331192,38.79368041445552,40.301185174817604,35.175450043021996,36.5765383424719,31.482555954624935,33.08061660714818,35.12219987024697,37.853802353816306,35.096680760296564,31.948264305508893,35.12727862359793,35.48943067017703,30.140234544228424,30.754638007765315,35.248565144737405,36.62392383429019,38.58256968224034,39.96095648386797,40.541847366652284],[30.221415386883574,29.428402752928132,29.946747257970785,24.98918855006586,26.25010183543241,23.660394591062577,21.77233427144681,23.846294742973924,19.561301782086584,17.172851256174248,17.031058178476087,21.168741028827576,20.292309993398433,15.442279963345495,18.697169453375608,21.64602189196631,19.879418348119053,21.77250178254267,22.064396308706822,26.319054932158124,28.24510928947005,32.840850288456984,32.368408732667724,31.970374403579612,29.866444124804552,25.605255255271505,26.14874452600806,23.05357049377831,24.02286821355546,25.30587419714703,24.7203482588768,27.66224018127431,29.999778968846222,32.11662851860512,31.113449782734996,28.627400730347286,30.412106332906575,29.826488547915734,30.454960631775304,36.77691843502957,33.01008035314071,31.44493140091171,35.90670086723961,35.73761514820603,36.825052114887654,36.51160423459204,40.43746581087053,40.01501420280589,36.66195682226706,41.21077871293298,43.3010284112302,43.5292965931893,44.36143790173043,39.98857412352689,44.80968490738291,46.11467274193108,41.54704251896126,40.56549461485342,44.82078915229615,44.58141592408889,39.24849416474777,39.46168108570301,37.32179852594919,37.5036120238597,36.15136478366098,33.455684415513275,28.481383700851865,26.240307846600263,21.699101089463674,19.900298367522332,17.558555258642034,18.082039102476283,21.65192523640427,25.185156595465656,26.508920488512683,32.73011418453722,33.02289572691017,36.20955412844941,36.41448507514975,38.36762391166541,38.42148817290123,39.08898378887982,38.69163135072071,40.1696584204236,36.49314862421865,34.31079683487346,33.93001891770121,35.16479159966513,32.1456446175451,34.7433598438537,30.86758800873557,31.956477491661516,29.037573558733058,28.43752273561201,24.560041473210514,23.921349251381297,20.422522968119374,25.82417042535534,25.543446198848493,29.698887200528485,30.289379733649803,32.97522007994492,32.96295704905414,34.407403834541945,37.90838573810158,35.19532529941379,39.38339208677158,39.25276607744002,36.65796534128683,35.23086214828503,31.17356344777958,28.53294422777284,24.288614262225266,23.03479157032806,19.331460337104552,18.787855953257353,19.01063440073954,19.212472681482538,19.616043977962054,18.27476381017685,15.107412059894745,14.367033524300512,14.568735220286936,16.149518432093753,17.82774701407801,22.15913739068526,25.74351540580242,27.99379173696705,31.86949600929367,34.91399484192913,36.32593213404318,40.536808696766904,39.59417477196437,39.3760630844911,35.327986166276155,30.853801023799406,31.15969008700043,27.08156315329373,23.72868098848871,24.506273552512486,23.497198660601455,26.55867027129355,24.622915343205605,24.28428349230223,27.036066033417427,25.35601312811561,23.70832891220578,24.10352379059218,26.215199203671762,24.177620883428062,28.04982018994674,26.282779902518943,31.095376482456846,30.33810631702673,29.13658877590004,29.76126239062174,26.92244455323278,29.735136946850307,27.768737041659396,30.545533143073726,29.153370849651697,28.917729772231542,27.956197840051832,31.793212043404175,33.63476946247219,31.7772699571885,35.71409303492016,37.176433562494005,36.217063358096404,32.09359093294225,33.099584642235726,30.069305586640883,32.83943904763658,33.72254714703637,33.64971194435277,35.0545784068874,31.680995966414486,37.2419612791513,36.731232970919756,38.975013279680255,38.199335072717666,36.15323895552014,40.63070385802576,42.71500237049771,39.40307140025289,39.79595162906817,36.72704904012674,41.34373813365017,39.68118552412758,42.144429805879284,43.281682038168235,40.962997576028464,41.90590377008394,40.81740676909786,42.456900753501756,44.10518476350184,40.14069126758878,42.528045565508094,41.28418863347042,39.707768061518344,43.376460792320486,41.40975874161757,37.56669731906587,39.828401604276905,42.49232559252896,38.16845463121668,36.02682517413365,40.549033273340406,41.664874586623654,36.14386406731504,37.89273431849318,40.89270072732554,37.5560336894101,35.16006181515125,39.618246877729106,39.39730322147546,44.52892801666323,44.60792755607235,44.61326390421911,47.67255302443076,52.03210550930393,54.78653001419014,57.06969098382713,57.84337469704362,55.19681130881538,56.5897315575625,53.18991480144903,57.19640790287775,57.119102829538505,50.7973749415176,52.55490250168562,56.4103099796998,52.8085224625392,49.80718751632121,52.119424925683404,53.18538626360507,49.32405912795474,46.558053913151795,44.73382648909903,45.30954483010082,48.59123637489944,48.457703829222325,49.423938375757,52.00723584928704,48.20805030959401,45.56106550774533,48.30072608596571,47.415954585218344,42.61904432681575,43.200881394197765,44.89169251543153,42.399399018445656,40.66651855238929,45.67575152164376,45.394867639050354,40.96277497274295,43.81954177836549,47.7869465754674,47.26871351119664,49.611179001124164,48.059083003739254,52.02350339135924,51.35572665255353,45.87608065092798,48.96530745284034,51.160216039443,48.290112514328754,46.18444625056287,52.05773997004923,51.58635851073725,46.20263495975978,47.700347830458384,52.762655687959466,51.06636793983099,47.16549353665282,42.69950405900386,46.47126319627234,42.28611526577972,43.82428152880989,38.46940441430928,38.23420065676536,33.98682386615084,33.559562783494584,34.84013694679959,37.67317109648792,37.54776626552269,39.126208477994375,34.23450909698149,36.071627932039675,30.996975637789955,32.0376373047396,34.41766771643568,36.87830433338573,34.32026365601641,30.945148241690955,33.591953764136626,33.94335294580215,28.834369144504304,28.807509247984417,33.13457082358401,34.3947957102027,36.25596070996223,37.558081124995375,38.03520986987719],[26.484464318645585,25.8804226214444,26.619113275328818,21.926329502791823,23.534000056778613,20.23717294624084,18.63752568544508,20.575025036189455,16.178897310870184,14.538489509704913,14.482527319335578,18.435105769244295,18.336108104393375,13.744274357183048,17.421973474119465,20.392008751133062,19.155369223198775,21.80568065176842,23.073645910687592,26.949527746521927,29.45026537702806,33.96790800456774,33.865344711255126,33.67979746056952,31.130269053310176,26.872398366017578,26.749750061683027,23.18973126866852,23.72102886814868,24.31034724276047,24.168676791674308,26.329262820053653,28.73369695438998,31.42680310582584,30.375344862701155,28.280004281289592,29.48401472501446,29.637220353401073,30.35629882139592,36.70002221219984,33.409990811953286,32.09308546006349,36.61700058401593,36.648482103517516,38.17690734491992,37.99053207784488,41.932948346466794,41.112085466776605,37.611541238149606,42.09188567814174,44.01270196064631,43.897102129590394,44.821827692710556,40.235388845176274,44.94241167297091,46.68712896270784,42.285557781767395,40.920576822762534,45.31077223972197,45.518102973844144,40.200004955461196,40.353770913329875,37.985741229121075,38.75196195547551,37.38186739344652,34.25116634211446,29.71305715722101,26.94960913596956,22.920794571510022,20.536184122488685,18.7447289541394,19.740877379408683,22.708698946849655,26.587397697313904,27.126842767760863,33.485522819522245,33.561622749910974,36.44126498806578,36.52231876759005,38.570998082879676,38.09157191653199,38.73698816268257,37.77312986938012,39.38885503623795,35.93853791233809,33.64183774661552,33.758789914061865,34.503942953139344,32.11855989855267,34.43939157000487,30.832239851909932,32.18585897122505,28.91852283186461,27.766183655238223,23.57693997545799,22.86009319108044,19.019565807091453,24.086194387633057,23.299919596989277,26.96080178934039,28.191448095592524,30.416595260621595,31.01808329900966,32.05806767298237,35.91889350499561,32.91652590085589,36.9749773299326,36.95486682678419,34.09293902687685,32.561036183969556,28.392462556478677,26.21443811439657,21.74690516191109,21.16615641347958,17.80873212721987,17.95183095353,18.81464054983632,19.703032455155597,20.872560115022157,18.722432059549504,15.635388694454404,13.936040757197954,14.23286256463865,14.85577422636667,15.619767867657387,20.346110515830286,23.1334010717425,25.831318365723146,29.614280430791624,32.875648655529545,34.36499846189681,38.57017328995878,38.0572704726527,37.67842214051479,33.888893689703146,29.345040296607777,29.5776961523721,25.902539747702995,22.9591349713303,23.98479703440785,23.929375306252382,27.387114165388315,25.249513024808174,24.311851816787815,27.03033863030475,24.87593201174054,22.96355484115277,22.678842228582308,24.283382350906503,21.696270017132534,25.184300782839973,23.07159617720731,27.808807005659645,26.70632671440171,25.88326843682829,26.81625224456755,24.279360119880028,27.091271043300413,25.68580115378792,28.41250523559971,27.669887646513008,27.93697938246734,27.394688573850885,31.297902010944064,33.1418880223819,31.580729486137617,35.171124403119634,36.92724011010235,35.58289117502173,31.496358655682588,32.1946000287389,29.20851773370041,31.885655718980434,32.6515453403623,32.48184189808696,33.505469626323695,30.212579329597073,35.726608142890875,35.61567329944393,37.62885993477328,37.21014447156278,34.5683453436547,39.31989824715992,41.65208517707246,38.49277431487223,39.36136690628706,36.56841781164391,41.37077463222155,40.11713320186297,42.16643569902177,43.203697364922235,40.558439967879295,41.23743845256071,39.83281702316277,41.21704764293618,42.617415553504415,38.43272923214661,40.50093550335498,38.99270926383899,37.17488629811426,40.617649619552985,38.416002082868864,34.66975774499088,36.97016310666006,39.36442836194934,34.898083247805715,33.042054946237364,37.40134304663831,38.181221428198185,32.69811705309266,34.55944906933262,37.38226741513229,33.86852895531743,31.656185403306527,36.20546764897403,36.20336688577767,41.10690130286905,41.6935089564398,41.53739274728215,44.41316030732963,48.89707579036791,51.43226135039546,53.939668500320316,54.62113278964904,52.07613940222287,53.50483854734339,50.160472442986226,54.33512712967905,54.24123380458787,48.00156775803764,49.86697843251516,53.868723092498584,50.30907010572937,47.37962375638148,49.907606012711156,51.03687611932404,47.102712571213,44.568664140774864,42.3467408709812,42.880835247321194,46.01366522422203,45.557700072549395,46.45400200540877,48.802050817318495,45.06693753990662,42.496062451835144,44.94335425813191,43.965358232456545,39.255066095200135,39.77510587037148,41.234870127458855,38.655272221585435,37.003569143371266,41.979610354740196,41.54017943236729,37.079729659947795,40.073232890191065,44.03046427419866,43.67386573387922,46.07488934774593,44.65735004377344,48.71586333597297,47.975934231906884,42.60053274244495,45.8630624865085,48.084001060966436,45.21871960677968,43.335986028551396,49.27210829173163,48.81376095545602,43.531126640416126,45.220811925581344,50.28413881705487,48.61707790788696,44.788407169477416,40.2751603756305,44.26043610686218,40.10481069081749,41.24160843600875,35.88712406677531,35.40247079318674,30.967748729137583,30.957700226169198,32.38625596431453,35.47267143219313,35.37128629782995,36.6215495509839,31.717702490714817,33.58111613587478,28.501443092878766,29.032517910797406,31.25730677185832,33.481810507323296,30.872233356855244,27.59913749935943,30.020651924310776,30.156631008068707,25.152247716110978,25.10899206699584,29.319462916098114,30.391385114576625,32.248758246903236,33.61040305353256,34.18007395113641],[25.221157752138016,24.5756912242053,25.634334963386692,20.555919641281537,22.852752572422418,20.3487225883158,19.397513859283812,22.11668836006912,18.191451629073637,17.010108664969493,17.71766105843669,21.684514776863736,21.309136945974977,16.945580685239257,21.14068587079664,23.879388658274976,22.137053235780723,24.99258309830845,25.870359629360706,29.70340913858945,32.05952326130671,36.51291401304702,36.14024812230718,35.53877463415444,33.065161462206326,28.936096721626928,28.85376223396612,25.477611169157598,26.56336477405382,27.37268249680369,27.907140155711108,29.831558288723436,32.5413952704204,35.26567785300318,33.90422905870833,31.58172987131081,32.56933240566182,32.315814341311345,32.616392812469996,38.830650021923084,35.21171602038773,34.411207133490926,38.940181274989186,38.548626566420864,39.928652644965496,39.33302822543068,43.326789244388095,42.769658421567925,38.93533021014037,43.180940495047615,45.54463180148409,45.47022781526331,46.76948106367605,42.279171512440506,47.232228679093225,49.02129119950074,44.58641587152557,43.57111322963454,48.060490606158595,48.01892305876728,42.864104119325,43.41390757431416,41.29312316121557,41.898189958381174,40.24852633329183,37.23163873053623,32.766656266311614,30.2686262744078,26.141034975667655,24.173701453399108,22.195316744968846,23.276864960620188,26.47323960908783,30.0584435559325,30.82463839060646,37.23424671011257,37.04288489891616,40.13639397265488,39.96048560999375,41.70688442733556,41.194713042437755,41.430831521496174,40.47811462707877,41.680644277001484,38.08804991826666,36.19778269422507,36.5363633733802,37.6361809161593,35.36116166439041,38.100109310003354,34.582038951930954,36.14415739527489,32.96803088618318,31.848984441368565,27.563815837054666,27.060059219515015,23.11276778884825,27.921157991891068,26.846585951612102,30.27625169454022,31.491988476814686,33.16621885385128,33.82172204915224,34.283603108967995,37.77030985847451,34.40538173636225,38.207367905440066,37.74049946356348,34.62709011276963,33.59682280311484,29.165493661178743,27.341880210252064,23.051000252979524,22.31274062802656,19.664462241175816,19.277121084765284,20.727648378461208,20.95632753730645,22.90023679905924,21.378220583948405,18.00276972711885,16.27936170460971,15.279586385008706,15.820457764632861,16.477915126078543,20.738953845118395,23.367195235448662,26.25043631320285,29.964762438260077,33.65942327844163,34.450349721619084,38.868196029735856,38.378219471484016,38.54762543291983,34.33198223499926,29.858960136150454,29.268405659658832,25.874362498278746,22.87912716966477,24.530737664547225,24.160855504789243,28.01181805823242,26.525236428433594,25.56998624386636,28.65488045236977,27.00122782372706,24.765611294413826,24.795044119290534,26.197822976576536,23.699487278195193,27.001833573806877,25.293820756765626,30.080127903446748,29.075389226982278,28.778619579206435,29.65434772324207,27.09629766811716,29.469427021403405,28.317195715048197,30.32971941019684,29.248472107281824,30.03807148076661,28.75334922178987,32.98688218979913,34.20332586234103,31.95212562917833,35.44802005328319,36.76473268565164,35.162396050094365,31.19729200205128,32.220382582862065,29.636170787247792,32.89828633030379,34.11405662515182,34.39913926888394,35.65421555234824,32.7621512656302,38.35184706531515,37.91537294503324,39.739031971527375,38.87329962315727,36.03665529172455,40.49672004214102,42.65193537826824,39.44746905965018,40.685027214546786,38.13084518937401,42.837983592136005,41.099559883338344,42.99087222785036,43.691695237797155,41.19021747924479,41.488352282015875,39.97332040273031,41.26892210326569,42.43704681565861,38.12640801625065,40.24164154958391,38.47346548106754,37.094277526752734,40.310239925617545,38.47122239000601,34.60095541560795,36.323138530790565,38.906113969504894,34.562477304278964,32.02277312277183,36.41477849834136,37.66343397686032,31.85383225090828,33.30294112926949,36.27124831767577,33.02345137049115,30.28563608131156,34.5632463375483,34.447130796953246,39.6148306704051,39.74762057684756,40.02883394294701,43.042258544700196,47.56632299233875,50.24957579389895,52.81570633294029,53.82131065048919,51.427245925831755,53.13555983715233,50.05295444999645,54.13582636158779,53.68782858092107,47.44304596001526,49.61006399540747,53.31378075262131,49.4955345741452,46.784010519676855,49.442840031522564,50.07918099457968,46.01387806591461,43.91100453510508,41.660785559687454,42.86046949679637,46.02190594626371,45.55833118683624,46.87271870110206,49.29107175807276,45.85180455045686,42.899517147392004,45.219882568188076,44.648566318004924,39.89243250912682,39.90983805545003,41.53889381528941,39.06546402272643,36.96898198531042,41.845820736972435,41.559432862645025,36.92730815571496,39.528696344455724,43.52436007931724,43.00792073382001,45.64118794378363,44.42159801496862,48.34120363256913,47.23725677092002,41.82767208460385,45.25396882505089,47.11582423295513,44.066971021791645,42.33133104581318,48.209443717392986,47.338434631952815,42.01810262170082,43.950056859594184,48.821777241156504,46.79766669987512,42.928331019904384,38.329983692338416,41.97660549131982,37.62477271752757,38.91515254583478,33.60653996748885,33.63617925263339,29.33377606226647,28.751080110698595,30.396725928488163,33.33960319056399,33.622878378657724,35.30435976905101,30.79217770298531,33.154094719795346,28.247826538323842,28.72484783681227,31.65802394841172,33.85739829375525,31.78611854486992,27.997432696621853,29.98672547180713,30.60228443410479,25.90317367571866,24.889408846010728,29.03095710643226,30.442374870251506,32.19584595368304,33.37742046068752,33.73554388503898],[23.02100607330867,22.981453885301722,24.621332432375894,20.139938322788147,22.978525561267332,19.165906698948767,18.624717047217857,20.699502217869018,16.500413821410483,16.346836072192975,16.55646344954648,19.963029070916438,20.901614420318257,16.877436283739343,20.756391183150345,23.652714626336877,22.870171620493256,26.03550436506095,27.78825045817385,31.415757131062055,34.18052838699622,38.62228389640347,38.64115190010421,38.435013952797846,35.70211600645618,31.509955285600583,31.0267105473852,27.268705350143428,27.626811080534324,27.672361827964483,27.91432373823188,29.34548443023622,31.711533382301514,34.90340211544303,33.88024586941243,32.138697440960925,32.81223816458524,33.50292816583462,34.16472090231159,40.42390012686632,37.388465435210534,36.422328165293685,40.958962898802135,40.98003399030978,42.70420875104908,42.42246226809484,46.386294592277146,45.44813221816607,41.729485182894116,46.04174565609021,48.03985499401957,47.69961653199277,48.8340272615813,44.151203912186126,48.82822968043876,50.89521562954552,46.613000826416716,45.08628011152763,49.567919737100475,50.00719566063878,44.753008930715225,44.92274401016337,42.44052214318104,43.50904999268167,42.125001856371746,38.790393463242104,34.50367805990971,31.511901738873092,27.756258174130124,25.103932195194474,23.57968665965054,24.59950341122477,27.34314902337708,31.409457642092907,31.58395063764366,37.932041739926014,37.96182055728277,40.59610416332327,40.62739650031662,42.72041338062522,41.83835270879149,42.38894947082157,40.93446486165787,42.5476289330741,39.28251457324831,37.036481031746305,37.616997579538406,38.01052057715347,36.1669056294371,38.23799862255065,34.850561386160386,36.27395023975452,32.77191215794988,31.19765418257725,26.883660587983897,25.93263714210483,21.985660776811834,26.632708899632494,25.300964842212796,28.11265847767548,30.287427652999376,31.798338934072664,33.20615690481599,33.57168869203353,37.689398259594924,34.21262339374985,37.924096742855774,37.80679024714968,34.4704067554504,33.10649842389516,28.692173896120675,27.395398948209298,22.84284166844328,23.029586387486752,20.496159281786696,21.019745355614916,22.613719686299486,23.658952131370082,25.535728617575213,23.172776400801602,20.116776089097936,17.882754885730673,17.68273439569114,17.455767659632627,17.143429088902074,21.860358650964645,23.446721396745673,26.802975290067135,30.353981243403986,34.101240616306136,35.2320944901727,39.522365324389504,39.523194247459465,39.291553065700306,35.580757490696996,31.066744261618997,30.68143636665047,27.68845951245338,25.162386580452722,26.762421155638602,27.25591508146785,31.153125515212476,29.228723432460026,27.886317467399266,30.707877740653736,28.415344545379945,26.19387749218276,25.412803268604957,26.353144165308358,23.19827688294871,25.961864115226707,23.480941691560545,27.95289090264761,26.100678515658092,26.16029175527977,27.677547153104314,25.699348962296405,28.344092267446594,27.78185185256578,30.15346355499231,30.010603223241787,30.98258353560503,30.506312634075083,34.56267203940874,36.09530693140907,34.42427337186925,37.626998757266946,39.35096025092078,37.50297610253863,33.57652703930872,34.18990006810332,31.531593839136566,34.410925593512275,35.27745018632314,35.212057718905704,35.91818099032125,32.887026819225525,38.29167367422428,38.497658698639945,40.19184374710922,39.954734018976126,36.64692937106143,41.49674086194435,43.96884618191862,40.9606539838672,42.438832627852555,40.006196040680315,44.87850810595839,43.715739170111235,45.35691501130091,46.12205972727516,43.29660719966823,43.51156535674652,41.74665331397536,42.80257851413343,43.77096054877892,39.2872819230433,40.98643884594438,38.95852275471936,37.15217675405565,40.067753197917206,37.788615068309944,34.1423282736868,36.0260655110756,38.1104861255956,33.528528013346865,31.59495874299414,35.65519630514424,36.21397072251514,30.53399302179041,32.184819072069274,34.75645311193137,31.11894226057351,28.756385491020794,33.15162511917509,33.52151928347741,38.21432756644838,39.31802937202691,39.362365881141585,42.014555537993445,46.766478760234456,49.01626867009331,52.00879887749452,52.826330382609065,50.60317429085595,52.316554028237675,49.278170192203916,53.62811905302682,53.23531246548664,47.14824274317646,49.398236026095695,53.36368740554332,49.673396145672626,47.03651940016249,49.93890820946936,50.75730499830498,46.640611185312224,44.77320287891293,42.02350364730855,42.99381313394191,45.91724150078706,44.98496604222266,46.051091764430296,48.050004751692796,44.62398279841529,41.9598907869253,43.80722807211698,42.92710011462761,38.383943171218164,38.44475014065954,39.55323494858516,36.871422387994535,35.07640843535741,39.86769169651492,39.173908833208245,34.502353134455625,37.469843559288165,41.426211103164285,41.29941731685849,44.033433120779385,43.05656628564679,47.15684968008573,45.96528832585207,40.78420408652165,44.484562851722956,46.4201590685753,43.40204000603274,42.047331421015876,47.99774197339359,47.169306974384114,42.04249676209654,44.24636214160959,49.10172440498325,47.13270559740334,43.39451043570759,38.75178216746312,42.65809317579461,38.351325128066456,39.00369497555139,33.75236190475054,33.43530501936119,28.84181063299202,28.932375894508404,30.84619999267521,34.133391099142415,34.46548576980738,35.63499082148818,31.118778177222122,33.400753601395344,28.517054481171655,28.21673334937959,30.67450767636212,32.434679576481194,30.10257742218734,26.739065450236566,28.35376405889173,28.371109663451122,23.88906964468397,23.042421982961958,26.84307641135255,27.649004187980758,29.351561032916845,30.634899637023974,31.113913989698723],[20.187027670472197,19.955958749987644,21.92664230484106,17.04615158081275,20.7827708918557,18.20576736243455,18.587518696260908,21.672064652240934,18.38906447969625,18.730937413214956,20.000901782758916,23.407506611188587,23.773985487460806,20.16657311785347,24.736413567656786,27.235659414646133,25.789546073483017,29.32142724777252,30.778184256465064,34.19454632063695,36.92143542554991,41.21190678469279,41.00206621399901,40.33450021175468,37.557283945133534,33.58457393820113,32.94483682134353,29.361692332116675,30.346838246478246,30.59101162079657,31.917137221803742,32.88747294019513,35.758451222718435,39.02699469509166,37.47780416632151,35.45778222534497,35.711467506857105,35.94550667973636,36.051393766067925,42.067435383276205,38.76524421218967,38.564705428315555,43.08568634833329,42.60715398782274,44.280691719838984,43.52859433192205,47.52620918141991,46.7819279624941,42.62037471872113,46.561272392890785,49.049948837372625,48.65552660164215,50.30973066316878,45.73036328384503,50.67759794217916,52.92570750544208,48.6768117529242,47.53116800677834,52.172460037919464,52.40142652759421,47.4097503607993,48.140030964265996,45.97122207840053,47.00022937867976,45.19070341261809,41.884392706477314,37.88229191808454,35.121539197721006,31.41128798964038,29.217748332904584,27.593185276484903,28.98208555961508,31.829010439590697,35.52385560385969,35.771202898119235,42.247298293004675,41.744858385538606,44.63663459493498,44.208584555045384,45.8481102127416,44.793692698102674,44.7334926331693,43.20125891233465,44.23518352854635,40.85197251396116,39.169993785868776,40.161077501234175,40.97351157139266,39.43468661907664,42.099749683669415,38.93419920650726,40.804690778263776,37.398456359111634,35.80447138942417,31.293460965833354,30.804556125772482,26.64866809654301,30.794365796150103,29.03773183697953,31.55444988514948,33.517215373555665,34.177713627799015,35.608993198844864,35.11463589571168,38.6486171825084,34.699520315821204,37.99187128492829,37.26984995693031,33.626635110261304,32.97154594437918,28.2876086174797,27.533996374837244,23.355949374000197,23.39796049833998,21.928690536264472,21.904997352184346,24.28468218497897,24.696737079308015,27.664763748132653,25.89116759555299,22.57961308401536,20.19459730662378,18.57386678312815,18.027737435423024,17.420737277378006,21.326008056073746,22.487412005557044,26.03308522371926,29.37975275000651,33.6536777459685,33.85007202468116,38.34884675876887,38.4565197781588,38.92165599946537,34.76131734852633,30.423534359801216,28.97102342879899,26.53532960360975,24.168318124162887,26.542428194393523,26.950661306820802,31.328779630749988,30.163627771739147,28.6548125792687,31.85244432740189,30.13368119016442,27.49584592190435,27.02738645211184,27.61819607209884,24.65648690524655,27.0968556252718,25.349863789235805,29.822656888299218,28.392403749144076,29.11843612650101,30.354377091762352,28.300303358112924,30.22184779811745,30.0138474157042,31.320493026278893,30.790073109777076,32.52109899218623,31.176220602399308,35.594027173513616,36.289154230912494,33.868531849823945,36.78321280549275,38.0180999662044,35.76371796579283,32.086379491438905,32.99838033002549,30.923211467327675,34.459622805120816,35.873388220436716,36.40023604958335,37.36111270657736,34.94716357514204,40.3923881328909,40.17820841278737,41.553306150701495,40.765888215365536,37.138452950668096,41.57398716656927,43.83050906837456,40.835883266312415,42.893776214593636,40.8773656121634,45.620977776590706,43.96995160204367,45.2583504105942,45.556850174546724,42.854719656107356,42.506320657439986,40.54210744714379,41.405840166009284,42.00757921858617,37.376684763028315,39.05359593112378,36.67489554134286,35.441883809287674,38.00599182124917,36.23686427698966,32.47573361553523,33.56526699128853,35.8782603371435,31.530517165020054,28.70781035857874,32.76663839127868,33.98173476045834,27.93859551163806,29.020188926046725,31.800671354608436,28.60911488542898,25.546635524319736,29.555536295365236,29.71633503509549,34.75915026405373,35.21769902689486,35.78962616656279,38.623388370619686,43.37575948851896,45.84080657960587,48.84079283192458,50.06475454195763,48.02681737068042,50.084046180641636,47.40216990141318,51.59626768758628,50.74903492755677,44.69404701051437,47.319531690513294,50.87957713691897,46.88782591279493,44.55422478260005,47.62394241051805,47.8195556634823,43.56010125552202,42.28899092965099,39.4761054220188,41.29822062863507,44.2196336330126,43.28021039052847,44.901968922174426,47.00280542543458,44.00813439371537,40.83587341908924,42.53040188724231,42.242873132897046,37.66466958701242,37.04308856850233,38.4400459152082,35.974637162492066,33.556049436811755,38.176531517755315,37.77992672966135,32.95540320070975,35.29873503420719,39.27658841867577,38.87095054122933,41.8572114916881,41.10896937986298,44.97908163426873,43.34729029957515,38.13687737863039,41.99663664885273,43.46318967085076,40.236480925970035,39.06440276523213,44.90048979826743,43.57238835443757,38.4322275758596,40.930089013411575,45.518165604359204,43.13714929040919,39.378172163596076,34.66130412303527,38.171587853287086,33.67066691426687,34.461845828402836,29.28812525981977,29.580730956990855,25.204048378878078,24.597724192137164,26.77561449181012,29.889514819356062,30.69719864934442,32.34201432087393,28.400793850052256,31.29796489362647,26.751707877766467,26.34237804785721,29.719764185210714,31.443526864693258,29.928203746536347,25.891935439690677,26.912997209501054,27.6829984316043,23.713312425130542,21.522098054873336,25.191707520831173,26.60244852119304,28.1738546477617,29.196595620505086,29.400575862837595],[14.937225051513456,15.380826140678812,18.283497930899003,14.293197728657022,19.071340008299817,15.72371331698721,17.284002293012094,20.086769649907016,17.475896414905364,19.287001759678787,20.727612871103485,23.313240274706853,24.603787285193054,21.875231214737678,26.3929936179187,28.639157368507757,27.79619622242777,31.835046573880017,34.067275223695354,37.02087012558738,40.194704074407944,44.311581206279364,44.44799184452499,43.98091704723176,40.8453052807842,36.988036540368455,35.748704296716554,31.89495394374251,32.44247377777963,31.95593325358378,33.768843323807026,33.78917635050827,36.62526592875843,40.41044094759754,38.833190465606,37.30074378315022,36.86585050281302,37.86570774781942,38.01685461340754,43.82895928164408,41.12822161490352,41.23999517539321,45.708122852516205,45.418741138347016,47.50440761186724,46.87381213136724,50.8234325643312,49.685823931670555,45.428943524059356,49.184240859141376,51.473301903933645,50.696305938677654,52.46641386624364,47.75358895711339,52.48637745126556,55.203338183780886,51.210680103041504,49.69882899631082,54.41008674756313,55.10435203819432,50.22096842878263,50.90382968418509,48.55433407247179,50.14336449547314,48.33301882320013,44.666254153981896,41.16996384568669,38.01882134471144,34.86033299093561,32.28121681087399,31.142480626200005,32.81682255837691,35.1340031080095,39.01532795132363,38.58009922967045,45.020395391346945,44.30470265184818,46.82730970094755,46.257868675335466,47.93318828217882,46.30670921755158,46.1697799698435,44.00166069861236,45.104539365261004,42.0911373651157,40.397080268925926,41.95595055276976,42.22783846960167,41.460162548885755,43.78316860944687,41.012550722482814,43.10728946266937,39.46518235628481,37.36872355135175,32.7600176201197,32.23989518330242,28.038030867071626,31.4100983299802,29.08642578101407,30.61389100730087,33.36148554154557,33.16078103927206,35.416597497691555,34.20121255504168,37.988947305775184,33.684418860051125,36.51705068366465,35.85808919552696,31.83667735536128,31.235610086021293,26.54485347315157,26.821317367931552,22.778339010452626,23.826598075323414,23.23514314271982,23.90743143638334,26.80675676132778,27.77849082559569,31.265662517008376,28.936581641635957,25.90342705642972,22.970101799139307,21.486754144494803,19.980942477628496,18.17172978384775,21.830107183537283,21.358991925561735,25.435678465880912,28.321777757288828,32.847099109851136,32.92025801741852,37.27152546199119,38.05872208048433,38.414065577027415,34.71773286426252,30.553176429334556,28.828095969062023,27.29330412543466,25.702411531370572,28.313222159279494,29.738254676060823,34.32476382138094,33.05697901176868,31.0114606989752,34.03602702107541,31.95956788665683,29.15358146080318,27.96613333162595,27.765632397817807,24.315739470816087,25.780220173591434,23.780655493774965,27.712960524781284,25.775158455685833,27.39373635662693,29.025466754539465,27.624856378993556,29.226418140175788,29.955028025417622,30.878539287069135,31.222375051743274,33.61175188777527,32.72290386442242,37.04341112459011,37.60426591366496,35.550228308793095,37.86710990716248,39.35692693911443,36.62266645373596,33.21176036040123,33.7176571650327,31.919431116760265,35.25658024982953,36.53961420944604,37.009369482157645,37.46492833135957,35.37283659673852,40.51331089581474,40.766231538651766,41.74462701444401,41.37088183680622,37.036341242631806,41.604646400195364,44.0895439593791,41.399372059891874,44.077453880107704,42.503819421066716,47.316707719970125,46.1326304017754,46.86666044005695,46.979526698199955,43.958852068183894,43.19566702551779,40.83352083355582,41.268775776115724,41.408156147399595,36.56584441633714,37.66135904408621,34.81412303614453,33.37007826503316,35.314775016117764,33.31560480968034,29.843987112825694,30.674794864389472,32.44434083401041,28.006337917772615,25.53746521721241,29.090502658238023,29.783883752520698,23.79256120275527,24.825214831903995,27.193899765643376,23.794264654024815,20.87437223476781,24.83868018279629,25.49508031433829,30.068557530731947,31.441001327967104,31.89343976079559,34.345310233072276,39.32750366820851,41.37571836604644,44.837356511470205,46.008804795197264,44.26133909568041,46.4741065470019,44.04755323355496,48.44099829674149,47.44149731141888,41.64705775022041,44.53460493647743,48.17832627884465,44.241273773814825,42.17158048486915,45.593079769978395,45.72374126495046,41.3878720839903,40.713975395398464,37.27474168142307,39.22097230569876,41.80419440000219,40.30150285475347,41.92103660529743,43.568984768053994,40.8807310458395,37.78147095902364,38.811214031312886,38.528526484831595,34.233098336621595,33.255082002648386,34.21084150447649,31.67398690761114,29.24756709077583,33.62703033036292,32.96143573191954,28.047563554041243,30.431086120852132,34.355699050123654,34.23601178632226,37.43632210864033,37.086475019469255,41.01290371653086,39.08151549418854,34.16441006118763,38.388531721509395,39.71142111508071,36.46017545514055,35.846175139544904,41.65714528205454,40.192937011216515,35.34332164365414,38.270412322783834,42.67943157747992,40.24718635876332,36.694066682173144,31.970232874522324,35.65213388525094,31.24642678159943,31.225303843121736,26.233922896518344,26.256471426949826,21.68212027004053,21.754393049356004,24.318724925459392,27.755483729830484,28.773908598328664,29.888100941196743,26.323626052477604,29.352674676763556,25.176152178273913,23.70187615276473,26.939413827455596,28.057984789214775,26.815040046832802,22.96383914903881,23.088182485889337,23.621831042089205,20.414844468093108,17.53919582676635,20.58829989053853,21.680290048899433,23.12090878574278,24.12171914384292,24.366396131918076],[16.753245183961088,18.061210735273004,21.35231747315653,18.15830497265109,22.731933845642597,18.155854510505474,19.537636803960186,21.348927460914798,18.216147867485237,20.36931029129632,20.944708120711496,23.06686358300357,25.425238153738437,22.666326267466182,26.530957667393672,29.05624050006129,29.004006169961986,32.86516317920665,35.4678139988063,38.53491216693382,41.797507341102154,46.02241978320635,46.36461013160088,46.24737616725244,43.12214985227627,39.10286283590682,37.916996403301475,33.87957814226264,33.846940339595996,32.96882352199962,33.93801597893242,34.03018209219398,36.31697744724362,40.25478988363258,39.21280820592167,38.117771218905766,37.825849525429255,39.46222245258706,40.0637769398377,46.02788440196789,43.63816932676794,43.23742684421079,47.71628436320727,47.826994856118944,49.994820039662024,49.688589767171976,53.62459766922257,52.322943786204675,48.341464714813334,52.335144169308926,54.27874079491244,53.46969500535955,54.89249953467895,50.067733878229575,54.5483804037723,57.23371806481581,53.260265250403684,51.3664643968287,55.96314377146357,56.9236525544685,51.84078346105024,52.03136098287942,49.36108500746214,51.079274385426615,49.65212885778615,45.910041733628205,42.23605890278338,38.82950074816509,35.70681140700201,32.66594643873279,31.68139693231655,32.96765889229676,35.147865893901496,39.40837708128047,38.81317546585358,45.08392262606749,44.870552267550735,47.03386924342608,46.88407527515803,48.99114031145059,47.34865481052578,47.72062718714682,45.3948312953944,47.00597158334895,44.19984496415528,42.04775445819089,43.44038327684364,43.17176621118896,42.37718274265471,44.01530451827051,41.15457507161056,42.823327045106254,39.01150498277053,36.74942588701076,32.34330356492523,31.254349931346823,27.309671521900704,30.836373138380658,28.64608273242618,29.822760060432007,33.36701525789073,33.516886900018,36.23075509680639,35.42117192003735,39.848954401709875,35.74765415184587,38.69304472844894,38.52321748188973,34.54175104023686,33.428743114316866,28.93740764238485,29.26507030198279,24.96221540467,26.483781054173402,25.370393962664103,26.5796652300146,29.062546799178854,30.51950266686656,33.32760858929137,30.51740094622054,27.69032088900186,24.783818757580402,24.223242676239707,22.78520965494477,20.900747310328146,25.09430319677519,24.413625089218527,28.568495393301728,31.43561946393325,35.70464699781499,36.35877387191141,40.523376566174306,41.49348962072164,41.34614225637575,38.10069009209762,33.85662069481611,32.70255469487504,31.04420473874161,29.474715422176015,31.69668601922037,33.28277010906781,37.64521148136658,35.8948741540212,33.883479439197174,36.64917670069861,34.07802539722591,31.520183155587773,29.89261593892088,29.68315780689047,25.843123827969467,27.10183849855207,24.216711988592568,27.78210406439262,24.828111241728067,26.497846396285066,28.819921896298503,27.936187534507575,30.067734639338614,30.97285602146331,32.643862203978244,33.6351813137899,35.67354151995927,35.528786776939775,39.59574381390062,40.70493882874083,39.17799314378106,41.568685614808246,43.39001277662903,40.77545409721194,37.26133778192453,37.52490397482233,35.428123950473584,38.313712668644136,39.1843189649187,39.19670274559003,39.26179181170459,36.77896464674407,41.76479332882391,42.56648639017489,43.65359898796361,43.85566991930777,39.49611521544675,44.42685650425903,47.14415129899046,44.53128029654252,46.99345764697179,45.232411212093794,50.16546931856179,49.3883090683224,50.25305729730582,50.61796860933382,47.44416660716612,46.92383435751415,44.56975149165119,44.99793049508491,45.203224726753106,40.371110023709576,41.262855923134964,38.42861845124538,36.53603319930901,38.38122793142621,35.910460884126614,32.69995844190253,33.90068982852723,35.182081345792575,30.554511554506078,28.898812254525357,32.09504437299093,31.967326088621874,26.33644242446782,27.652918705397745,29.496502940165072,25.65680796741709,23.376905850861625,27.366886924151036,28.569369716187865,32.47721884976343,34.869124785904134,35.04737918644011,37.079609813293125,42.209913674013826,43.76893653352214,47.611195129428395,48.525394264771876,46.910758867799615,49.02027728659894,46.55093858777715,51.166315201842245,50.34710948791452,44.72215867649651,47.52877592303746,51.451243853547545,47.72302034845652,45.63293152944894,49.12340274262657,49.55662642808393,45.2676205414732,44.55105637429872,40.87710938221882,42.364859192581115,44.769101411511684,42.94636963840554,44.16492558430295,45.41496405825685,42.61000082604847,39.96581480116808,40.62895559887421,39.864900209809555,35.830821978433626,35.135012552298186,35.46778161787341,32.67505761233434,30.795109788339317,35.051986460672644,33.845907120580144,28.983871973077168,31.90560647705126,35.71945015998063,36.105624256654266,39.32211584817839,39.16536389291481,43.274798125165226,41.38043523010585,36.7614049810769,41.13091360181404,42.60962466564025,39.471795008506724,39.14315976325337,44.960541736444505,43.644753182982676,39.017274625456295,42.03335109800697,46.43627603103528,44.14015201172553,40.73108445146385,36.06497237028792,39.898896336334154,35.60862566707262,35.11965833181593,30.294347685327892,29.98452090275082,25.279770288598673,25.97021850812891,28.59652945792407,32.18643058522334,33.11775632590093,33.794466144645924,30.12106806725133,32.83463096969419,28.60823033512947,26.723974609462324,29.188630857219042,29.927529781870252,28.169210230100212,25.03964770327202,25.022992543059402,24.664572995889394,21.60859051213799,19.46694453006402,22.02723552711328,22.110847392700077,23.4452897242099,24.55893397529906,24.92312064875721],[10.965926182996677,12.79351539937372,16.732320502214378,14.626821995733646,19.77388538133182,15.313998986656825,17.844648499734376,19.693020755650082,17.822092115294737,20.98757960537185,22.207910363998838,23.698316924307974,26.134225758848824,24.333437004220443,28.394519752204165,30.40189512613985,30.38848402684648,34.707704631462796,37.708981494039485,40.23041481757709,43.797396517070275,47.74221124816489,48.27390378269752,48.12757445381554,44.69690691377209,40.93381918903938,39.19353168846821,35.108918926365654,35.045050588486895,33.765938934555244,35.72012572091688,34.85765208355431,37.42022110626851,41.67064532607817,40.260638902310454,39.36267510254404,38.33369116429665,40.25533342602085,40.61147394992366,46.19738698629144,44.217394480939866,44.417805907152655,48.78308196368387,48.827907476053554,51.31123159165345,50.93303009569587,54.799271868770695,53.231642021895134,49.041317986257724,52.691497178920656,54.62087125096332,53.476708072704824,55.19336821984303,50.35993832463655,54.73815247515989,57.86500719637804,54.1605822723067,52.17272830865764,56.86306529994549,58.095571089361165,53.28643874756225,53.745957304881024,51.14371818092306,53.295199465108006,51.62658951608948,47.633340364418615,44.59679903568349,41.04827724305429,38.458804741328635,35.447334472897474,34.8124697119865,36.61083739128372,38.3640481113781,42.45901313383053,41.34612253402204,47.60936334947877,46.84751324842478,48.87308134060248,48.30532170362856,50.135906490040085,47.97628157804847,47.94993491339651,45.14637449079116,46.48976898481168,43.95881037154546,42.107804223769165,44.11529881262005,43.679395822369905,43.65054355673529,45.391091677389404,43.01840092700899,45.1734973300194,41.32087676139142,38.737907261438274,34.207925662764666,33.52592276143916,29.49125141499701,32.03294407446522,29.271605073962323,29.628050720885334,33.331381258583775,32.38397376365248,35.564826447681156,33.81697717995297,38.01804163429768,33.55903328975914,35.91596484758655,35.562346233367386,31.300292859685968,30.526830809851376,26.09835369677832,27.40087564510661,23.584572949440453,25.713266124224265,25.725592389569307,27.173561230078814,30.248053206262906,31.85437131224532,35.45711606420802,32.530259954241004,29.882358902669893,26.602274998728536,25.622079500516314,23.45180626640612,20.74158506338258,24.166049659653872,22.124276908038137,26.509979621912915,28.823994772760553,33.30898017113334,33.55649890611935,37.557665359860714,39.06097679341715,39.0558911089063,36.10436645317948,32.18184923474243,30.56353408668227,29.829677425363187,28.98769880728808,31.525690844181444,33.8643769192601,38.43986571803894,36.89511050915558,34.43685498734199,37.13178271433007,34.58803271882241,31.807632014048068,29.84040218361669,28.90690796604724,24.998808692497477,25.336389939511164,22.844802746878294,25.87509217234236,23.114117638150265,25.671795034050437,27.875740335040256,27.379248129021974,28.77781940834966,30.475364568196245,31.277425593682338,32.709874824433115,35.501134628392,35.35607489645736,39.38247782245562,40.04708120314382,38.615731415786605,40.37911592602693,42.24697150466407,39.198689631518455,36.05054763808952,36.04747046110041,34.39714782762851,37.253086970107105,38.20149464419141,38.41486069682188,38.22107505941487,36.33915714652312,41.01109089070339,41.919456797501525,42.54209068653216,42.809024438879675,37.880868200733914,42.64295930922756,45.40826410130347,43.086561764011115,46.20226604633479,44.984122324278154,49.84794941383559,49.29462816568835,49.56406171191458,49.62564232432899,46.27657852093116,45.26292830779819,42.57745905874121,42.60673755908888,42.35091266084979,37.420857660487975,37.8347494900644,34.62552358007159,32.75904918436502,34.00676950947129,31.564580272261264,28.618886771865782,29.392503341021822,30.2969401560004,25.774097538683677,24.257169025141984,26.97524991998788,26.62336441430325,21.079120955140603,22.24448918244336,23.8023919322886,19.97058853196979,17.758553090638824,21.63876046540109,23.118436437554536,26.67975681724857,29.584620928810526,29.657769985109894,31.438709468602934,36.64352051588084,38.00117549505893,42.04362710380627,42.97715089950897,41.57525318390855,43.83789894663991,41.64548203150887,46.30049390216463,45.28297778078788,39.898286430385276,42.936217222403826,46.77865585950721,43.07548473853656,41.25927037899685,44.99064902453399,45.25720657915155,40.95502636818014,40.797519302727785,36.7077467657871,38.4586483983458,40.57580008384385,38.3850218337179,39.76524375866006,40.74952529365024,38.34177711913811,35.58985492405971,35.759067873188435,35.247032506583984,31.43720198590911,30.257313576898024,30.429283449341842,27.730305708226687,25.61944247616045,29.623295483111352,28.41494497118163,23.492990549143823,26.19746333498897,29.97126118189362,30.412261020465383,33.774629401049204,33.907365396682664,37.94463671418825,35.79735112154328,31.395686517336664,35.972400081542645,37.25834487669266,34.11715614500499,34.19044450646393,39.89071603108994,38.458932174346884,34.099179540704064,37.388826636678616,41.57871841015393,39.273913661395156,36.06717512443061,31.500254916587977,35.41162176132056,31.32907693498937,30.25372620374437,25.677490701039495,25.11920572182657,20.4539049760065,21.69027322951415,24.467133893954365,28.174244775466438,29.22989688042657,29.496733502476687,26.330082001064607,29.167965988063067,25.489900463894738,22.8120487456097,25.344249517765903,25.595194741432348,24.44276974476574,21.30715457776677,20.368645483793173,20.15407161887584,18.07041357007665,14.950167788909155,16.81471160595134,16.957512388331907,18.194067319183294,19.25081012684713,19.663408779255754],[14.781623417892943,17.02690631515967,21.280134402812827,19.050163858425037,24.367446467261917,20.04849136859807,22.356655587415798,24.107502970760734,21.765899162506884,24.61957320782243,25.415495900065434,27.043240021007815,29.718511469396717,27.449530577596978,31.312825684333866,33.63822942647009,33.722500961885,37.79304073085919,40.57738815978037,43.44153079323729,46.83242710392584,50.955740810948946,51.35927525609188,51.19052783406739,47.95278912737581,44.03661337490305,42.62553474054775,38.56388043336963,38.505880869526216,37.36804115150654,38.698454492640984,38.28463099370811,40.56734128846364,44.73628935283539,43.63707562881323,42.74016152464684,42.058280004813675,43.94045821286698,44.427535881955244,50.194936456830945,48.005267148956854,47.92544898944444,52.35980245908988,52.41394183362015,54.70823916065032,54.304478450162016,58.22445312366679,56.8457139497536,52.70893029013662,56.49837654365054,58.507091130800745,57.52228841622271,59.13986423332849,54.30931076536523,58.7362641869841,61.67100023543044,57.8301934117292,55.876693679357395,60.5203867117681,61.63019335186963,56.66452931892559,56.94414937418169,54.2616458759336,56.18159678950675,54.68615275459476,50.829506023223324,47.39163445288572,43.90537562994396,40.97110931088334,37.89050407037952,37.02753012045417,38.39765194443332,40.457617738915104,44.72678570255921,43.92761126448773,50.16245853140387,49.81597345953876,51.84060707820177,51.57386463742756,53.613997452544965,51.68047922559513,51.88979388564205,49.236791568966936,50.73463464144209,48.114857918985315,46.11494310921225,47.853628815177046,47.40915562703685,47.03744353738108,48.58795041950143,45.95471397110754,47.738134751213295,43.85684961833058,41.38324154895313,36.98263355844825,35.900914934660506,32.00939574734307,35.04824912503327,32.552068828925265,33.00795519152588,36.99018524274934,36.45013183087472,39.653924630980235,38.229236653752075,42.59586619649337,38.22131515562816,40.66366548434493,40.351236745154495,36.099796420526545,35.286892604221336,30.864468838568627,32.01100861670134,28.048198616207543,29.990710447792235,29.565287305831063,30.866380128325062,33.687488421557134,35.13854593831768,38.34812422325676,35.52597711368673,32.73815092974224,29.680011758196727,28.828520496784577,27.05595194964467,24.727480865902375,28.41254803045561,26.76925480592204,31.12121774141664,33.54306169467402,38.028794853783076,38.25488174347755,42.307765833298554,43.726926460873116,43.76424555631069,40.69505501003798,36.698390924437696,35.03079256519938,34.08522656520041,32.945830993031315,35.47811942352466,37.374610390397514,41.91983313449211,40.38357491858807,38.15824852828419,40.93803718082744,38.40259692646635,35.70505183036758,33.874860564985546,33.19775468002933,29.25569541103211,29.797099224690072,26.99295441852066,29.97447038159954,26.690822057901723,29.144089007441288,31.692729073853442,31.288743927004226,33.0267408974662,34.55475819437038,35.7296522428921,37.081361407596575,39.60937614981363,39.43510980744214,43.51315622714183,44.295634509594436,42.696297128686055,44.67968922519796,46.4057222721518,43.43401903217478,40.20991104380878,40.3924312683507,38.680229367191004,41.642630851927855,42.60315145721481,42.75182213693299,42.60396989946347,40.482391722974704,45.22882039785905,46.1911451699174,46.963436778341475,47.2436270151601,42.45992840119131,47.2646491582487,50.006112690898064,47.59663463185955,50.53823867601665,49.1302372207422,54.01732685875126,53.29693896218465,53.78930065088651,53.89497409837535,50.6422873931522,49.70708459743133,47.09389210750549,47.19818538886145,46.96927447026314,42.03394998654669,42.51168664144279,39.254703478955456,37.502524064549306,38.646387247393776,36.25691817557493,33.35934335320483,33.951296126265945,34.78447457847558,30.343524292975566,28.694724405722745,31.2380593256651,30.85110707497958,25.380504792653547,26.247981435959435,27.57075413922752,23.864829970029767,21.54792824185324,24.9212769916938,26.632866054865254,29.961287063471236,32.991133179469024,33.4195411728966,35.043146881879196,40.32307965068888,41.466009865367916,45.80671025461511,46.880081906530776,45.71262376335559,48.11454233424204,46.103751929890024,50.76190098497668,49.59777937900785,44.337413951531744,47.50033684430162,51.23876626213609,47.46915182293053,45.792512154344934,49.57768680857671,49.64189998995335,45.29718070492656,45.35143706011211,41.25639140813487,43.18802715687206,45.271156892673915,42.99799444575453,44.40406368956749,45.23334009019218,42.92522851522976,40.23943084505585,40.17349013879337,39.62678357020054,35.98602569028832,34.7120585380252,34.62420747545768,31.89484685844535,29.876652966950086,33.608089383285964,32.16076140392795,27.27839773736966,29.908242069533298,33.529969959789625,34.18913181773326,37.72424499729195,38.15074363486951,42.12453631250897,39.70773798335825,35.54122985191385,40.265713955654235,41.31162307294493,38.104446233884254,38.46037568551576,44.048232689612156,42.323601863109644,38.0908896713418,41.59705742081455,45.58187807556065,43.01222129400705,39.86003872577534,35.27366313846487,38.83794652927266,34.603286326320294,33.45950625520693,29.094101159795592,28.99598438008222,24.500871194626015,25.325766499963656,28.340902556288174,31.90836291119922,33.28294334162976,33.79382730590593,30.864236386009814,33.84942713849324,30.189080499840166,27.55769626416465,30.11788309367591,30.251658745046527,29.068270750511086,26.082083606472647,24.989616727034118,24.594008830296698,22.698143245241216,19.65795038215324,21.146392870003847,20.850248820829492,21.798632587748834,22.630114504567086,22.740838293773987],[11.563291807210089,14.083473640166394,18.859646005240148,17.26602925716289,23.081748002538653,19.771828309656907,22.83327550065277,25.001896159832423,23.58940197963201,26.740954854848006,28.149393597846675,29.66972044723976,31.95158198002129,30.114036893580288,34.31881935428018,36.3103834818047,36.0699323719374,40.40231655225769,43.159654012385005,45.744341092809485,49.20561807984242,53.148966469641735,53.514405764020175,53.12958257381584,49.77662950121463,46.070592436971204,44.40915828683096,40.44626067120327,40.66273785511917,39.52501893935896,41.6582526678358,40.78036003389082,43.407813128666874,47.66253793486808,46.1709593660154,45.17781977852853,44.080237967503656,45.79684619905769,45.933172277239365,51.401317720542295,49.25150035641682,49.738539479855206,54.09984806964874,53.89477057778291,56.2694542025878,55.626333754208574,59.51158198299732,58.12826974015675,53.735533509679456,57.18720747228678,59.40754235643115,58.27644738215866,60.24823232072082,55.49576868416265,59.9934969762392,63.1631495338578,59.45359407126329,57.66618620442215,62.40454211056631,63.49948066104474,58.775966368885435,59.42747594964631,56.93321391319058,58.97312657898612,57.185794994684784,53.26685477881989,50.180269012804864,46.762850663596154,44.01183953294217,41.15161919063059,40.3370342589765,42.04534083589746,44.038756080809954,48.0885044325119,47.169939392971045,53.48307910540784,52.68506900612414,54.80850274177251,54.16673613580717,55.87459360316263,53.69779490728433,53.4581329126566,50.63186187083105,51.72205739108104,49.16023507832663,47.566613145301474,49.69385749796381,49.42153514720481,49.435203069939234,51.33383984815262,48.96072773028835,51.130574471580324,47.296059084511995,44.746655766437726,40.21103118755739,39.51084302954544,35.47836834932835,38.037693504652,35.22677559175208,35.38102252985053,39.14448156918844,37.851256994380904,41.12125216154567,38.96821924661177,42.8518091996466,38.179055703231306,40.113136311950605,39.39652572569211,34.95406858913905,34.70294835235752,30.297230864608785,32.074131854770236,28.612011986589295,30.628150012400774,31.047130295059574,32.167469959151255,35.4404431988888,36.67044709777338,40.54685806561581,37.94469563928769,35.129664951102555,31.937123273319656,30.457307189230015,28.373358389731937,25.745128672480096,28.6520071706358,26.317042859883806,30.684048747138316,32.680592121374055,37.413407906770246,36.96165942727746,40.96333886673863,42.65209882507017,43.1154377948113,39.998102240182035,36.317944706496064,33.96348230144214,33.73246107363248,33.01053425794846,35.93104683259427,38.04949112272003,42.79531177487206,41.674652621925105,39.24895906167547,42.12389383923199,39.88852160335582,36.97476846681027,35.21399510712031,34.16138493038273,30.409790820132592,30.49257186582703,28.329112216826914,31.072951806764287,28.288610370221,31.228925444063677,33.45569325598703,33.08167159957268,34.17346521770002,36.06604076198031,36.39257107806915,37.6679352071844,40.77141386953229,40.1953611130047,44.36297512859751,44.572504830353644,42.69074866409768,44.23931639190434,45.720202771795755,42.40935485525399,39.54099635723186,39.74390605319175,38.53703486008797,41.73775079075971,42.97687829081761,43.488855575967094,43.386409429171906,41.81060953706296,46.42022670317378,47.1789393504934,47.617674483128525,47.63323599547053,42.54817414483209,46.99707779948072,49.60780385567597,47.356862227794736,50.80615060876651,49.823082997891504,54.57190725204179,53.715165904617386,53.791885451686404,53.54258577931374,50.316054562298305,48.903416756111056,46.0835655137949,45.90796026128922,45.27278165835858,40.30063878909874,40.52124701928152,36.9365990465887,35.57284014512999,36.16674395712819,34.15836723858875,31.408994400570386,31.255091611381253,31.98789113335415,27.884583704579686,25.787055816613424,27.92505442182271,27.849292796739633,22.355339107756745,22.62367421871979,23.818807711637593,20.58227749063526,17.809663544779625,20.572304567498175,22.38231878372334,25.62186364743319,28.55496882900621,29.340080780279454,30.87550436518278,36.16806919053891,37.30178180382205,41.772762935089474,43.13150417146264,42.23605438986991,44.928029018148884,43.323500153313354,47.8493274075396,46.300370000748465,41.26191874438282,44.743936276755896,48.14393215160002,44.243285073139575,42.93035019451196,46.892468736372095,46.48922387476839,42.1066353767564,42.827376536577795,38.54135901935411,41.082914076060995,42.98529577473093,40.555296142499415,42.36047621589036,43.10799318500238,41.29530619227886,38.29807234519398,37.88480076639797,37.85236956838244,34.38107446748468,32.45601005407226,32.46417825422326,30.00189630768944,27.497724682754043,30.845565699624682,29.622607176440013,24.732092532332643,26.67897275488196,30.206183539083483,30.711793060001522,34.4775011485861,35.24208005459503,38.95796246806847,36.10568107401814,32.1356536794065,37.02813637568842,37.61675890157326,34.29941866696265,35.0508161655987,40.408929266454116,38.278937081752304,34.272118699179046,38.10939837050352,41.73057440802988,38.88848736527106,35.89544950070735,31.39075133697277,34.64933332235889,30.46381683108275,28.980245219706276,24.96318568939122,25.19360061984462,21.03717329874866,21.69210907931717,24.952121462691697,28.37391016204249,30.13722548008717,30.69010908874091,28.521671603176316,31.8464852312524,28.782577554114713,25.78186767828618,28.817801178585867,28.68310713528429,28.334560529296258,25.07248184414527,23.182539001243672,23.370395487431605,22.368788720351475,18.223400317730814,19.045028350889265,19.183130268558333,19.87849038157525,20.366675042574748,20.156044222959046],[6.48070223538465,9.65782299746837,14.755468323860667,14.812813543259203,20.467144852887962,17.601063005902397,21.338844606157362,23.314627675329337,23.08520340283515,26.791580297173024,28.6161706121716,29.578829662560096,31.791136308986292,30.820712045602374,35.0202768349828,36.51550081734944,36.34269051726343,40.951390844687396,44.056019558741944,46.09136436673055,49.79660228907761,53.425382151063005,54.006258444616485,53.66450170500074,50.05502975653005,46.63012746707624,44.475474721313056,40.531453517062936,40.65412542510532,39.172866416516996,42.09866865845406,40.41882854184347,43.24157248214789,47.67311948495955,45.87233208635585,45.0773481644688,43.354472322473015,45.3173615371444,45.27012221152349,50.297889065076426,48.61788915591133,49.58787885988639,53.775108955867545,53.573615773453824,56.243030668853756,55.6156607928929,59.37867994781684,57.70559329966585,53.230634577470326,56.35204286514792,58.44646876408211,57.001546556523444,59.169283231608354,54.45833678169056,58.76678590113508,62.311039211965216,58.90386587649106,57.007343546652606,61.76582838837805,63.13629878924121,58.70507154963266,59.56232049731775,57.14169709021329,59.58288374900254,57.61370683094599,53.493875295188836,51.04410882551227,47.520642716023886,45.32007857966641,42.50031523582793,42.03881030081346,44.189668798094026,45.734557796077,49.595111793691984,48.18871466628001,54.41282891797417,53.11996413622781,55.08413945595297,54.06940219682835,55.511611636471955,52.89400473279705,52.317215281491116,49.10522576757918,49.959864490777974,47.714398624453494,46.38984888932922,49.02222965403416,48.58223698423473,49.283953315031304,51.237050467290025,49.34046057360533,51.92854030146167,48.11517886186015,45.33332182696361,40.769744106790974,40.46490026551482,36.43358736017431,38.10274531717627,34.90542566822002,34.42690918042441,38.11223375557508,35.912643986899695,39.45369585408227,36.54326351196838,40.10813338428063,35.266664440251866,36.60572635080605,35.77075256951892,31.22130833041527,31.273161088113266,27.147061108240433,29.739040269605585,26.904594349587132,29.37612330700501,30.70445484822106,32.05376640497501,35.66937134573275,37.09234356321515,41.49291414253289,38.761576960363065,36.21543584293673,32.79039609165986,31.15354852954294,28.530086679673072,25.346589861160304,27.456055851953153,24.004029853624207,28.31005472653588,29.68115785206731,34.39321908319816,33.659652875516365,37.356492336787944,39.52303544989532,40.02671786488242,37.33728290113226,34.0677680827898,31.493894581918184,32.11043508643556,32.10749816297306,35.10815814046953,37.92347819266298,42.687843040397325,41.665718245043905,38.88535913258596,41.56822130877082,39.34882231103249,36.35566589440031,34.31367550287202,32.66868065710219,29.034105188491143,28.307017610635906,26.655623646458867,28.806176411285463,26.49510374971278,29.97253435715654,31.903642701685186,31.830399183647746,32.224834547785676,34.71533910721742,34.27804056431782,35.93744036474017,39.58519377707099,39.11710902114797,43.09718864840739,42.976801839475414,41.35418288755406,42.28903742515693,43.88480136647425,40.28116312130612,37.80269218673241,37.67214068813562,36.84787795485752,39.835210883725566,41.05265061343331,41.687562200391206,41.332356923002216,40.32061444976306,44.5326189865173,45.383301151997756,45.40116998085793,45.51816161950027,40.04113498547436,44.26288798588709,46.89616438251087,44.97152343202919,48.919303998515105,48.430601058462635,53.05164999280171,52.50768845696764,52.04425416540772,51.57714059380474,48.20118844465682,46.415492470190664,43.34788872851057,42.80466398803579,41.782647554804186,36.841004252551095,36.571044494326564,32.74275852824073,31.360553592641768,31.369068138871388,29.395217062765038,27.018944672387374,26.499555301385936,26.78664825371488,22.91024234817144,21.145309251669904,22.653652479768034,22.282361786776956,17.10226618089589,17.207634778812817,18.011004763989494,14.860915286757848,12.299097937135844,14.892898261937612,17.053850457863117,19.80949938138383,23.422296060870114,23.89619138980256,25.135855416983386,30.465817095656675,31.421350032615152,35.994610334192046,37.27729703812548,36.517674175650924,39.275079228002795,37.88569754504496,42.41702451479825,40.769538568265254,35.99255130088666,39.59495151257196,42.95073842228808,39.171837973319676,38.08133072575618,42.20162998781104,41.77277654260017,37.458539448411585,38.60630102481147,33.97910955038469,36.60430126351274,38.192169525172304,35.4526450615724,37.342500626792116,37.84971414015607,36.414456432448745,33.38234144644909,32.54047304361861,32.75820889834973,29.562665570611088,27.222648277039823,27.12025011336311,24.84675041772778,22.136592975756404,25.16383714514651,24.036698149486146,19.20233181357206,20.814404813890505,24.288783653206156,24.794359831520495,28.626596550100246,29.606870301405593,33.2277380518552,30.237903975000552,26.493793892365606,31.497558865517426,31.98025049570151,28.731839576880276,29.830175931566583,35.03780092060518,32.9531013302897,29.255318727161537,33.23732825598497,36.6838010709761,34.00675233733529,31.259664800883673,26.9640481921285,30.42683420617591,26.643318042676466,24.492061702963227,20.80372792031626,20.504700111441736,16.53664174886928,18.038698350975427,21.217299338043798,24.6986920929383,26.38277812582367,26.335474863389837,24.699954397497805,27.925801423026723,25.542496867197915,21.877729421503954,24.760745141048172,24.13911482735114,24.446906890455235,21.380031849256792,18.624377965635713,19.029131167040717,19.17340990140747,14.398896774778432,14.174957776550606,14.485537473835297,14.972514273941096,15.298257528691877,15.083084199701052],[9.435287823333073,11.659379932037247,16.54615356893416,15.816758449888379,21.782421806419716,20.02525490777772,23.671996557174836,26.267312264373203,25.883677617417916,29.135647989212966,31.165755910163547,32.60471246932864,34.31022172044169,32.94949425870797,37.45019526847704,39.043770591341826,38.40112591930652,42.93556987182408,45.59871276095104,47.83277304796711,51.31971894624432,55.012045941508575,55.321760437942274,54.688350736948344,51.24437170087315,47.83280466305665,45.91472248656913,42.13915300952371,42.68675431867433,41.61112334419731,44.616449819303014,43.28510920769246,46.29529683234909,50.55802244481753,48.614671942821914,47.48080941796932,45.95825926981444,47.400960612711216,47.12057607323217,52.1739247946679,50.07107032711653,51.20687319131459,55.43481213115726,54.92326672499945,57.36047252106794,56.450113789434035,60.251454484229264,58.87729298102425,54.236426529080816,57.25564792448026,59.704373018928926,58.422195218289325,60.792676702989674,56.18775180186572,60.73754880982008,64.1352671453523,60.60057587595339,59.04431732251718,63.85327945841001,64.89918252604957,60.498195896490145,61.58955174118052,59.35024787613299,61.49213263661767,59.3708592950832,55.42595199889512,52.768916086059015,49.483572959644846,46.96539294781262,44.407426851886406,43.65039293232692,45.72773329462812,47.626825380411795,51.37175210104972,50.344880055270416,56.69608081663482,55.37633755695726,57.626655151750995,56.548185244018335,57.83813840001617,55.43409265037013,54.661201298244144,51.71380505451658,52.29429211808978,49.804952755447964,48.71490564511212,51.23869686344045,51.21663649410793,51.629953929844085,53.95389083007812,51.8816734197241,54.47985840899773,50.74884857164652,48.17375528598084,43.530480391865694,43.28717630856905,39.138023123153204,41.186040159002694,38.1099908726702,38.057369062098964,41.3887461176288,39.33698241660731,42.51945919009976,39.6123809472346,42.809244196501794,37.891386456057646,39.225479864170154,38.00200410835005,33.451507963949375,33.91043389001663,29.632339293606428,32.01422669459635,29.247008243835758,31.20817777780545,32.54727906154876,33.40568064689755,37.091808030959434,38.03640044533398,42.58773339753938,40.28802432073124,37.50001589562647,34.24306276945072,32.11201206278861,29.76346457881052,26.937631267815696,28.830296872992566,25.860248608354645,30.041679931664156,31.49672774567901,36.40201645059672,35.12559019309188,39.00796921999689,40.93822454376827,41.93189250883419,38.76580076751315,35.53768977829167,32.420959390138904,33.02513857819043,32.80414021998578,36.08692740854018,38.40609256038598,43.27916941033729,42.65666109054775,40.05446829497315,42.98675376869813,41.15754059766764,38.05943803514509,36.457890512714485,35.047408315787145,31.66294427932723,31.315085339793512,30.008668922726667,32.50890558519135,30.510427128504308,33.77187420357238,35.49751813750627,35.0628766466383,35.409712122575414,37.58226277346043,36.929895612190684,38.00276126571885,41.68456009270219,40.61925860057974,44.8231753662835,44.353607869463666,42.15887384230557,43.18148727262954,44.34254488828099,40.69575146355641,38.30154600986841,38.53426568761731,37.94706436941415,41.3784685102379,42.93962751467573,43.88563082850543,43.88935408686486,42.96133165161311,47.37882058976531,47.83035715230445,47.89966328901878,47.55122013028854,42.2386779516497,46.17405107612211,48.57260937363832,46.518893422833735,50.49372668098379,50.00637864022736,54.53139566818458,53.50129562842534,53.104923983482394,52.445665868552844,49.30237590591103,47.35730239341685,44.3482363691023,43.86047104340055,42.77370797107472,37.84497687529882,37.797414836918136,33.903718098686774,33.094309431520735,33.0678902963951,31.64091861259988,29.077849604258518,27.981448626024644,28.69124216270985,25.148370412031507,22.39448315074501,24.042939062520308,24.57585245387923,19.156639632818365,18.55231771138016,19.710342873256042,17.362419981598087,13.905688606213412,15.67482085413931,17.395301574459676,20.696607685692523,23.155992837680525,24.445188484522415,25.982758406813254,31.200212836393163,32.47396309906224,36.93349891939712,38.67396587530587,38.04038851304646,41.05250908380293,39.91692662019555,44.1927538704688,42.19498071837887,37.41055497380002,41.223800301349726,44.15465882090077,40.09907991251169,39.21235359497772,43.31683653260352,42.33916483891582,37.94441073314229,39.4273557426298,35.022833315272166,38.30225400385367,40.011707307183904,37.519596268924836,39.82796878247041,40.58352294912431,39.35438348777015,35.9631899690745,35.28229497623437,35.93687986143112,32.6496987450573,29.99163445714057,30.292613128292047,28.270052304909946,25.14947134085035,28.008992300732526,27.258530321006337,22.52181392635383,23.41965444038424,26.788946189872604,26.921381783079894,30.870884506114763,31.93499895826138,35.25209149852548,31.943216857726075,28.164283416657046,33.131589609326035,33.15125165408599,29.71227849284927,30.843525599269825,35.87369298550603,33.26473046049094,29.508239298671928,33.67232859756845,36.84390986607182,33.68812624142306,30.877462191094178,26.512935735016796,29.35968167089605,25.270109972279542,23.431693991893045,19.878041921965323,20.587991320516153,17.056140349057014,17.35141685230478,20.81938785847811,23.94895588057907,26.1618656391482,26.811284653108732,25.65656996468682,29.32736427959779,27.075368210158416,23.83668199971774,27.43503132330477,27.097593435917958,27.77609880927487,24.217292037862613,21.572534009555365,22.627227479443388,22.582434708805632,17.417343065000097,17.51999002567778,18.448587287703145,18.792753686764417,18.746047582985348,18.04057060788292],[9.883989422449396,12.236851065711994,16.967770391571577,17.546028691104752,23.180534491278994,21.923880631825,25.880319757100615,28.260499674517295,28.529197830536777,32.06223634472081,34.22341645107885,35.308603040307986,37.06749534414046,36.15703011761526,40.58747744766954,41.939347188544595,41.381552591108104,46.028717226875024,48.858131447114395,50.80969245177758,54.40609455978596,57.92019410612563,58.332363073854275,57.69954659732637,54.143125814877905,50.90069459514108,48.740086122020415,45.00535553058862,45.49960046204715,44.225014185089556,47.59415053166469,45.82483676692658,48.87255250359306,53.24316581033771,51.18097530241306,50.19775827564412,48.324959143456255,49.92727114761588,49.53660267977509,54.286599627899975,52.46141971144686,53.89298086078131,58.0032971513387,57.471249499441825,60.04822642172634,59.10903421090048,62.825687374877496,61.32329069123787,56.62730423217645,59.39915507136741,61.80966254550797,60.3449603152266,62.86077480324182,58.31202224775441,62.73328068364597,66.35381127083879,63.01453895711242,61.4108052237333,66.21523261538607,67.41365449044625,63.19979126595861,64.40148656407322,62.20006195396163,64.5559776971156,62.3488109250015,58.309357530882245,55.98570363167551,52.650680094283324,50.404975994099466,47.85277951054767,47.26137313198582,49.50250310689882,51.201663833545005,54.87611472243985,53.60919414704429,59.890308632310536,58.347805720490214,60.47968701066152,59.223340316160595,60.37638844481749,57.71320430096719,56.74689052913695,53.557799196743545,53.98218364624576,51.71551172754244,50.810929364185995,53.63050825134118,53.48622780778445,54.3068176935248,56.60617383199528,54.80143096079006,57.577468422843815,53.84686589191141,51.13255908387072,46.51480982277927,46.406830880976756,42.30644699072178,43.88425262387766,40.617432285975596,40.10658262580776,43.497233032374,40.89249263727629,44.29061518408471,40.903901424727,43.85368644621609,38.86072179219279,39.678423276141096,38.336039080922475,33.755464482710224,34.510329254013385,30.54453389265981,33.4995795731474,31.20924639177525,33.412633308801716,35.265712218350345,36.22203173284944,40.062428287289165,41.06744443138543,45.870907339630264,43.533939640484256,40.88423328110584,37.54266987359345,35.33606346828091,32.7573072897314,29.69440595536551,31.068755635042965,27.45193640808001,31.483435462107273,32.426189528049896,37.26235981494682,35.664428274431074,39.25198751564975,41.545826503421594,42.65289274189834,39.80084720077184,36.946446003013406,33.58923177638134,34.83243648008759,35.0659204595858,38.40974481116886,41.054689822593765,45.918397439277584,45.41913257079939,42.648982947661516,45.46892866233859,43.686506768523294,40.563140537373776,38.82052705412641,37.06163542809013,33.781556145214246,32.89378852323647,31.865990667482286,33.85675463949232,32.008852479807004,35.62706160047153,37.27423510372757,37.12049244432764,37.057530379333315,39.62195467239297,38.50256143418656,39.820877753842495,43.82483299203954,42.80049817392828,46.86775146540144,46.13609262962493,44.04094249082611,44.620326734953835,45.74713715426232,41.890083119257234,39.8547582063023,39.91987281558664,39.678406573174954,42.990787539777905,44.5607475304758,45.60415845270918,45.43425213659826,44.887595803111964,48.99344626257158,49.52444666388579,49.296328663422464,49.00790138471698,43.45854114385984,47.15067934370618,49.51460502898265,47.71916491802128,52.04764308703788,51.91501262244775,56.310620938361964,55.43012584042582,54.65908337740835,53.79408343780129,50.60885449049856,48.34064085441829,45.163633578047886,44.37266367150385,42.91399014647981,38.075411838328954,37.6040638240552,33.48183584218084,32.834636563419494,32.12360752724858,30.89357843507197,28.777500243389976,27.114819088916782,27.34696210478653,24.29275581964844,21.73240990660639,22.497622901495937,22.851531566067717,18.086835237898466,16.90536680976642,17.386507256925423,15.687317258420707,12.481806154975773,12.965362148779404,15.146800728714751,17.53970567351601,20.587031992534193,22.01383656566247,23.05757568486087,28.239590276927057,29.156220924517182,33.91535480952501,35.776482737705535,35.541353123114824,38.75570222365718,38.07521010508878,42.2521176980948,39.98022845152438,35.65905939093559,39.68694941071392,42.36972583969733,38.39626896979001,37.91898237779381,42.17950799604564,40.92971992730523,36.626314977553776,38.77278663890543,34.11102361561178,37.662238929687234,39.009539061282055,36.20744887857943,38.66311857438699,39.08222960739609,38.375594977529886,34.991639403716974,33.72741603345894,34.68890757175899,31.85566982260307,28.714714313548765,28.774891322449793,27.037654688002863,23.805009024287873,25.956893700420768,25.236745830236938,20.827113544611347,21.04398358607315,24.05346463484014,24.27187404711524,28.368794423464166,29.915917501312244,32.93537567884264,29.227414784708913,26.008376978920573,31.09391684528588,30.68046326237577,27.295791831332927,29.060087150747545,33.6786060854694,30.795159045076225,27.590476033495488,32.05590435690641,34.73911934271893,31.490932370768395,29.066004050689518,25.03128398927282,27.597306017285618,23.900959383556845,21.27909568789029,18.547575734439032,19.24861438009717,16.429376091056955,17.057759692731096,20.473832724862735,23.346037401847536,25.748475062326264,26.03331313878459,25.730330424638588,29.356248714727776,27.839580431537502,24.16425570779415,27.601051043897414,26.772983781399745,28.067747526751372,24.82742651917234,21.437309807085366,22.606684118383132,23.614712943290787,18.225305042003498,17.24630723420117,18.07349977347392,17.942006300859003,17.43846785494117,16.34487961078353],[8.889647433398059,9.905219329198365,14.054420057022707,14.380330454148773,19.881425954370393,19.702015555962795,23.632368341677047,26.473743600806102,27.057305228119947,30.290335892167707,32.82398943815093,34.12923994833416,35.25159269538336,34.42636648507281,39.07140118117573,40.23409865961375,39.26554635161244,43.92191354097686,46.531398181675776,48.34450371239589,51.85511470154207,55.240276390335765,55.5517068215793,54.7490626342247,51.212707765296415,48.13602816879253,45.93862789051111,42.378947514397176,43.16946134644288,42.12831102531956,45.92990703445945,44.15514544476167,47.49158632150263,51.70651438926032,49.34696813616525,48.11485245473332,46.18642121213897,47.38963006285927,46.740647997774815,51.318877788016145,49.3594095987521,51.08329580121515,55.1238217735247,54.37725533965636,56.90102474906336,55.80717235759104,59.48025801620393,58.05600769025587,53.261240188323036,55.85004433786997,58.41639722828966,56.97302047793133,59.66681982162425,55.23159751828211,59.755874449769316,63.36257008629511,60.04851823250192,58.680543889756215,63.508049371238755,64.54461453248533,60.49340452914703,61.97398020764445,59.98258133333673,62.254878010475196,59.843681598007066,55.88127664253009,53.72101105518313,50.56417007265287,48.373805454067316,46.10478903229965,45.476592305098556,47.92148760752103,49.62437173225469,53.03653802070182,51.84204367915362,58.14990637014833,56.31597266335562,58.64037365147643,57.141831285177815,58.02161913195147,55.40195916388725,54.13903181011523,51.09848895007501,51.20426096549309,48.83408309881946,48.218441166061076,51.10001651825786,51.28787867927692,52.10774799826714,54.79463331400699,53.05850157114551,56.06332354239472,52.47056048034934,49.888061779834096,45.20427866514326,45.42479880436239,41.22829375398188,42.723660202797745,39.45342610995656,39.251003339828934,42.05408792699987,39.34903918947449,42.34938831485812,38.80641634793984,41.28923606089718,36.24776546718836,37.01798058656771,35.34714024762188,30.808464717073974,31.915902164151035,27.88506765578196,30.746006814249323,28.734617321389916,30.61470550770127,32.79280332875223,33.458118377345436,37.43458311647519,38.18814631310152,43.27890661477704,41.220017551920236,38.571033697805866,35.290369773102114,32.70168160038136,30.109967199097415,27.1420905814261,28.00680092056168,24.493544980132302,28.324873519826596,29.205757359677094,34.12967961784098,32.149295289749006,35.83460843454932,37.966380615055726,39.393581191211226,36.281083824840124,33.55098176766129,29.86364181314212,31.27318110287035,31.604056319639923,35.08520102202127,37.675061893049325,42.54712540063715,42.322671795879494,39.55628982818604,42.43545295921984,40.967712565373475,37.77466670895648,36.307214901698565,34.574743948341684,31.63199274975091,30.901387897510993,30.46336991941863,32.71912206995469,31.60679429775392,34.98717263517025,36.148778769209684,35.62316666626228,35.26225455411325,37.62489304487796,36.07125878467118,36.953738985582206,41.10361454117297,39.67160459214498,43.79696220608079,42.73750767259715,40.39227087002508,40.869575636810794,41.801358076769084,37.89858393622761,35.990302585375076,36.16682092503802,36.14693656184276,39.65520517442156,41.451570011487064,42.763484643405825,42.850011566536814,42.54589601973858,46.70608945581729,46.86850283728785,46.5905348474932,45.93216675623313,40.48533696169324,43.89795822193034,46.08785479463208,44.25812087028004,48.66956542792113,48.659295802945444,52.928579074878456,51.839794394754335,50.98126499877813,49.97843007727024,46.90679386040878,44.513555107205846,41.358192392833836,40.58020233068816,39.10764226614869,34.28845894133551,33.98147575522035,29.887242715851553,29.578676333607845,29.037884535431793,28.191328325653465,25.82284590435654,23.901728031532446,24.65809695856506,21.73592820992591,18.38440405475992,19.595693519109147,20.86654342508221,15.649999187329495,14.194436403914914,15.51007928623461,14.2686920326288,10.185560502137305,10.903629364986264,12.203481488600897,15.871696542306285,17.546579337109364,19.192224830188387,20.89846031941399,25.97413178859226,27.583197997203406,31.79476000984604,33.824293010494,33.27392290391574,36.48814682678952,35.676636467830825,39.68226337253676,37.365378411995245,32.74656959096803,36.77020105865507,39.304424504039815,35.14335941611632,34.57164932279616,38.743611900987304,37.34786142385301,32.97764250238685,35.03440757324498,30.581285047851615,34.43405171312975,35.98318756195803,33.53591701609723,36.27657448419738,37.14559318063657,36.384523237706304,32.64518543370195,31.89708302078699,33.19089062115079,30.03322626704555,26.817691249622868,27.56934944711147,26.038800880870618,22.378497563294285,24.84753353891054,24.739414616968734,20.321600407164496,20.153396650839607,23.37623389747954,22.95083972949699,26.90433657004489,28.038986718952494,30.966453863397657,27.41758593383064,23.682583252680317,28.57191230255525,28.173935771722945,24.651737063742345,25.955275401716218,30.717975841919557,27.814129651702906,24.195484125072365,28.54260329062853,31.409235650789405,28.093822264203947,25.404926956854197,21.18068445477746,23.83305373238908,19.925108942861545,17.75734364017433,14.54362008128138,15.530615994908748,12.749507485103516,12.822641757816637,16.293693190410565,19.13037951912198,21.605822926386505,22.226992829477382,22.0225569950303,25.87239016978438,24.463849257427583,21.14294880265361,25.14875929751527,24.72425026326,26.330209888096324,22.58380477175859,19.47371567797791,21.412855599411568,22.110172030720765,16.420957105128124,16.014378146715025,17.86747714546683,17.995656549925023,17.518159094345894,16.46828639968274],[4.917938625030554,6.287680918297014,11.042490878065182,11.413404041340014,17.01634497138687,15.89487995070454,19.871258754005883,22.482633397653363,23.029389148708272,26.45593144362293,28.896144537895356,30.038029453846125,31.375248192454748,30.69350318429631,35.207353705444376,36.349932903513974,35.62191793136883,40.31849377623032,43.182548074685926,44.934579859107835,48.5745331393205,51.97387313873247,52.446675823209155,51.852360315273074,48.21790700946062,45.072076249437316,42.7672320750636,39.06335536884019,39.594259514329266,38.35382033476119,42.053564841372896,40.17629464034632,43.42744843272251,47.707678142242614,45.43857898646885,44.356273884497966,42.395967119104455,43.8768109067736,43.414634387731475,48.09937998193971,46.334310089663056,47.84796778360355,51.91105727792325,51.391584832626286,54.04705395993889,53.174513751790876,56.85940834638784,55.249999125226935,50.5867309275152,53.35737676256711,55.67573174113233,54.1782353336064,56.67424863707035,52.12662803447754,56.5439456391148,60.17955561921972,56.87715760358778,55.28718353468538,60.09465715871203,61.30378847872245,57.161355694848204,58.45718825864025,56.33697800827397,58.74935754258451,56.45453647115928,52.392763829472,50.281330809153154,46.977645048449546,44.93343448305472,42.50363469221787,42.03319597013702,44.522436561090714,46.029625967524645,49.51719864718832,48.13058704838533,54.3884629198557,52.6061477347805,54.7962101472382,53.37208301595093,54.383700595426035,51.70457278235135,50.6251600477532,47.49148635404078,47.83248488560505,45.53104294405571,44.69090379524769,47.556130607417956,47.52483986065477,48.40434362743316,50.892511645820974,49.19289490071933,52.17108782772208,48.535617048908804,45.87200731605448,41.21366861828659,41.41100590576878,37.25419733668843,38.62654402860919,35.32742328743784,35.05993846073677,37.97562275928697,35.34914339267437,38.466700409480325,35.07268926560363,37.88933275918371,32.89270010740019,33.90799984533292,32.54707862589133,27.978373119197222,28.67877166836122,24.554808570097258,27.352237612753513,25.105164988109394,27.259039283904322,29.302141247670125,30.277806643342117,34.19231067336361,35.27542510147504,40.218541570496434,37.86545253149585,35.33952921397021,31.947232664937033,29.694531012113043,26.939349117100715,23.753351316953935,24.932124787798,21.251751354196177,25.295901713829927,26.354265140215233,31.225252772041404,29.791282893231955,33.515843171580855,35.66581495517262,36.6752071576976,33.751432296997145,30.795618355715522,27.6079913878802,28.75789607022023,29.085314467319648,32.35404029462336,35.236284182953334,40.05497332761032,39.47882661655767,36.61826426735952,39.36919091305353,37.605764261684044,34.472394428418255,32.746686432112554,30.96241693867267,27.81786400615095,27.04188766215938,26.367534575672853,28.650532535388564,27.445097855769156,30.79021121429191,32.012117692398654,31.553335444388555,31.32306294526057,33.74298075309664,32.455800798626306,33.63253894249991,37.673187845631475,36.63329082103445,40.67267454457738,39.96534465897244,38.010393799604614,38.6125974649908,39.92167338218098,36.130754904179476,33.97106425495831,33.9252560240263,33.564131170684405,36.80935229751799,38.363580136592645,39.42935377363553,39.34797294620953,38.85325188400331,43.020521793070145,43.400735494422285,43.20431582431483,42.83380929537352,37.339562753482866,41.08588747095107,43.477828460626476,41.61736542653467,45.87713655222305,45.7205351287552,50.131061716617396,49.347084098017355,48.591433259043406,47.82894702068491,44.57688416769499,42.448984559157594,39.310284663354125,38.63247455618646,37.39688587214091,32.48455514619437,32.219299942319495,28.270579828716446,27.40314858376983,27.277754222376437,25.890306866612235,23.37139563192349,22.207777241977215,22.93158227385368,19.40764921178516,16.657330306962564,18.346028322328255,19.047222796746,13.440225237124341,12.936306183066938,14.477281267926273,12.14448768092967,8.353448420333395,10.909458794409623,12.336042261862858,16.16093553775006,18.545202602692495,19.301637770229103,21.085265124065735,26.30166775386031,27.89368676966132,32.00107449750024,33.58079867033878,32.66026796787365,35.556722589572466,34.259384512719414,38.53823353283593,36.65979467272972,31.73330942862649,35.47808828335766,38.515858882678565,34.51847066317333,33.52439016588412,37.63912884884213,36.86262929916176,32.49135887197371,33.876831022177065,29.354403589873264,32.547183552638614,34.220013801982375,31.75256111773173,34.122760432140815,35.0342015784738,33.82332438394271,30.28550069459486,29.78069092708171,30.63071548047164,27.228897971598734,24.46521826017166,25.147184175814523,23.297452474306343,19.874303023592528,22.9511482189871,22.63814897005737,17.91050279900513,18.59665425196873,22.184871067285837,21.928966864401847,25.722211382849242,26.473256679662992,29.83687015940732,26.7818391274718,22.66253021649524,27.5414785644504,27.80483390494085,24.391420344856797,25.25829349771043,30.463661527481207,28.195823828821986,24.262277000448968,28.267675300844584,31.69924279147858,28.883398135209177,26.008241206510796,21.637269073528046,25.079388203926722,21.25158501314593,19.292779829546678,15.40702340632719,15.320931276849524,11.522613362017468,12.693690340504457,15.929375769808066,19.320976398104136,21.160634413635442,21.34518314458337,20.191644665193017,23.75494325423832,21.831149735484978,18.331004051429662,22.009346856363617,21.666007772054897,22.781856632463803,19.08366743072712,16.21680871372842,17.841549459869533,18.159147622794272,12.586379994069345,12.5759543611148,14.415936729750609,14.965974894534488,15.00103090316919,14.564456895881507],[7.417075278824862,8.202290713622649,12.593279000115494,11.375274572634089,17.34155487461119,16.39476845168257,20.04354545518624,23.078699337040472,23.05004528739158,26.061550756575446,28.49144205087618,30.095003218202006,31.183659613380414,29.994064933661576,34.69444916060797,36.057887295807376,35.05891029580257,39.641655096598235,42.18384488749149,44.22890359197935,47.69086287844887,51.244544468979,51.51756521680487,50.78162086412891,47.30305673923031,44.04522479242205,42.02242363486308,38.37077302408843,39.13978495811144,38.226450693866646,41.69641759077516,40.2844083561703,43.58105459562106,47.71388211038906,45.47241492500288,44.13668529712828,42.51483873045649,43.64723963308757,43.153163341656736,48.055818020443695,45.89726111695765,47.287175038953,51.45035551162505,50.79544179160544,53.242152410976175,52.25005131583306,56.01000390088027,54.634426589319744,49.92802932293229,52.81336572504672,55.33206872657281,54.03642993073128,56.53154660288985,52.00025525751748,56.61515884561508,60.03008861897346,56.537072262070566,55.13970628977355,59.97105987474815,60.925169842998905,56.67096920106101,57.99906440454555,55.93488562658612,58.063471285869625,55.75758127669016,51.841730764594374,49.40232986008479,46.241244068314316,43.85670373468005,41.54021959067161,40.816219036230535,43.156505538336475,44.96862446838544,48.45774346560942,47.411308538954415,53.77603195586855,52.13992266331412,54.538150123907,53.21198474537543,54.25133897712557,51.84770391529826,50.8140158820887,47.969748417923945,48.292954075038615,45.73044436505316,44.87191165943238,47.479006312023465,47.71943216294423,48.185930684767534,50.851429980299734,48.88740460003948,51.74178703007276,48.139253473176595,45.66057321337579,40.952055776378636,41.07134628335184,36.83148256045762,38.70429343644906,35.59579031064923,35.81871459782494,38.56261720999083,36.39575788339531,39.211113924092004,36.16681644230669,38.983465179374186,34.030728711779915,35.38783329184328,33.937192036169186,29.42904004550403,30.10749953413576,25.73750145931662,27.998647268556052,25.443327874921557,27.16385170948248,28.82993511624662,29.49361414706149,33.33379925593967,34.13861547350464,38.98530547684638,36.864138231384935,34.12166201201175,30.865752494369527,28.419767550560312,25.964197048572014,23.131202736832538,24.58837213106779,21.66231109236985,25.72354871180227,27.184998657607665,32.16110017427134,30.687896850323877,34.67610496756137,36.45058902811764,37.6225234765038,34.262902355728656,31.081823490467418,27.798839103475185,28.480443549364892,28.365374803994417,31.73532999972518,34.132850723789495,39.01666232747952,38.557068963673544,35.90262770324386,38.85554471034012,37.24894997953583,34.08538803182134,32.67337764614788,31.255046295988983,28.156807536554247,27.946602998358195,27.20215363046446,29.96894770733321,28.741029315397164,31.752110223157207,32.969311448018146,32.174624147012544,32.227381464734854,34.224968452847754,33.18468512858472,33.91114347569669,37.72959280108847,36.3743986506847,40.61357594869663,39.91838896725511,37.60542110144888,38.556361760682385,39.65907048493005,35.995692605105106,33.63985311033393,33.90173638312723,33.42357457870393,36.96806178752909,38.68052898304939,39.82390824779992,40.028189474772375,39.305593947123974,43.76910486205037,43.91749262526994,43.948441133996255,43.322593530063685,38.085428936571695,41.84501772868711,44.13747182062246,42.04646157605001,46.0709314959692,45.67471495799434,50.12220593310804,48.995757323644185,48.52577807236338,47.80287365414897,44.704187300648265,42.71471729984335,39.72650259788683,39.28228709565712,38.26026443959252,33.327771392265035,33.458815652940146,29.66174635267282,28.993402770940353,29.28435754435501,28.05667699701783,25.205540089844227,24.13926729014612,25.345472539915125,21.76097496746963,18.47034141761325,20.72619091462767,21.923975858091772,16.04004964089052,15.545650858641771,17.513751436564704,15.28993171582309,11.266941522138,13.79062766718751,14.719846370786186,19.076739972371282,20.52818297209881,21.676632284778844,23.805629090450555,28.907232580296203,30.789393380030745,34.68025180792256,36.41301346778704,35.37512235536769,38.2655590351434,36.85872808999609,41.037418183400405,39.15160630594608,34.01649955826631,37.70898823282777,40.6522039001041,36.49918076914084,35.38332514457031,39.36408758678167,38.46604286099746,34.03173868995746,35.18207193804162,30.980500377670285,34.30505863916712,36.243055158650996,34.09837886407088,36.54906669130389,37.743881703815994,36.333567447934136,32.6782565150278,32.572821983567756,33.41023735019021,29.75655509581099,27.18650245958128,28.125274288419845,26.227162331986552,22.799174799454423,26.10602469687733,25.8762699926769,21.101399395375065,21.871159880724818,25.497606673373948,25.096588341250413,28.82492243406057,29.378439814086573,32.71868145068217,29.740895193645564,25.40722621411416,30.133962490403064,30.3871766426692,26.896653796368547,27.434922974954887,32.70468563723693,30.3208352368384,26.112958206336508,29.997203280945815,33.51567191514549,30.504149925001258,27.409586735054564,22.864045310030214,26.051559101349323,21.844365069042624,20.553956936498498,16.358726718856737,16.929705831499547,13.09583853414831,13.186321022930551,16.563935256187623,19.846179188333892,21.85776839689741,22.68794566253212,21.25478557292022,25.031676673842586,22.687325449228723,19.783520315093988,23.8356444974679,23.939092243380955,24.767887289144713,20.719331585022193,18.487756623983973,20.205061925382225,19.713733191664932,14.309690225651048,15.180917947191446,17.11030472261008,17.812233662220684,17.93081494796982,17.45146820616714],[6.8440170364409765,8.11630386184045,12.568519631141939,10.793501152704332,16.706693385656585,14.256621315488665,17.66772528743745,20.39495684376064,19.81242565887854,22.94860772419449,25.07131364942661,26.640343167437386,28.136592628454878,26.796611143373255,31.339850017315747,32.882990388482895,32.20313360366084,36.75382974230995,39.50610513070604,41.681728521937565,45.22379252762076,48.908847843094335,49.301883479974386,48.79358112796912,45.28767368409038,41.8466608043246,39.86790002044133,36.027970386580066,36.49566163430017,35.428632636130885,38.469202961111485,37.187560183074446,40.28327335334236,44.4732407763524,42.474348193900795,41.285112036076555,39.8255721868478,41.25282010294381,41.055413403021355,46.21900529607421,44.1488579199997,45.1311167362237,49.37794739218631,48.98851183134846,51.48895884728115,50.73849366768985,54.5461255609488,53.05976909778328,48.52920224526442,51.710942198796495,53.99072932499543,52.72837408013276,54.93911695789919,50.27263237921159,54.8071661468791,58.14713159939842,54.58067390642507,52.949076746900744,57.74773045793442,58.82687703213938,54.37207293454168,55.403969941127215,53.14773099145559,55.32197103889234,53.22251244182804,49.24691591764433,46.64023031867016,43.319215225952746,40.9065163159432,38.34723950571002,37.688512765044045,39.91180956664302,41.65816991590396,45.34197330734423,44.222345896900386,50.567783193203006,49.18250749403674,51.45395493797294,50.35695040619822,51.65973812483614,49.3112796807071,48.61741197369764,45.76214650392811,46.45148747318737,43.895441808685774,42.67660686639343,45.106423691206686,45.10421166148467,45.4336255779752,47.803497768769695,45.72277152255229,48.38860908569479,44.69880718837192,42.168665835221894,37.49231169125146,37.40152400917037,33.20070938614992,35.23877695002364,32.20499334314206,32.48523976354376,35.51072071068998,33.72196115793457,36.66538217343355,34.042949691816865,37.38092070928984,32.56453131488498,34.33449915768508,33.30330452303381,28.84384025827464,28.945815377393192,24.4685140023398,26.39542586733057,23.33190277828671,25.257095370954513,26.399716320699664,27.383916675450774,31.02080228701797,32.160783196738095,36.63903249506425,34.191180680469124,31.488750051099178,28.162426358996832,26.202420361846638,23.748489213888615,20.843149174407603,23.035368664402736,20.33426581581517,24.625160820087945,26.456451768401212,31.303697998665953,30.5351551144738,34.572878924518925,36.250704902308456,36.93970466137508,33.72480230876304,30.208509922630242,27.586802157307403,27.71247018926629,27.3479504558031,30.42742588354861,32.90505485690578,37.71165342054841,36.819140408704925,34.181138239852274,37.04402026401865,35.06791091696692,32.00898802691684,30.35844919725416,29.072046652869105,25.648275766799472,25.62329843759683,24.30694311089448,27.234858073493523,25.575740223373515,28.44125954360041,29.934000239352336,29.20091156406788,29.684994815855053,31.599068467219013,31.175798894409226,32.17784223814172,35.67474804604598,34.77444985933556,38.957095350788066,38.77584054417407,36.8286610287873,38.08912007413614,39.545309811538196,36.10345022633857,33.39857129808337,33.520762821964915,32.559457398545646,35.844965833403386,37.26820297629585,38.06919561915541,38.12350818960874,36.989827940180184,41.55619029549065,41.97605908753277,42.2188637329657,41.92757894679598,36.75971303762659,40.9433241254165,43.444735606895044,41.254363662436496,44.95906254558482,44.2594697136358,48.891400571554094,48.01500927524427,47.809756537022686,47.400603505046654,44.16662055005654,42.561412205835865,39.67197573787153,39.418460681783536,38.72199594312746,33.74903902334525,34.0081328298862,30.449950413910546,29.228843200087876,29.991930101524293,28.213869890531424,25.244652862166454,25.02947553525736,26.165794975086627,22.070293484287184,19.52027091928068,22.124818922154454,22.671339789268288,16.748655142985076,17.13444648842473,19.049958116614174,15.962247702106342,12.679356815179272,16.16714876743334,17.297660968473632,21.421068850117464,23.51730982977213,24.062403677837075,26.11055985184724,31.273826709741485,32.9994152054903,36.891330870151094,38.243378917659676,36.967776377277914,39.56188940430844,37.748212901826285,42.155628215892996,40.677748140201395,35.35307389418286,38.74839566469423,42.1269688444457,38.158158545179106,36.679112082317694,40.555551628613195,40.21475510950168,35.821308779293425,36.32558767693929,32.156245682158264,34.78063214778344,36.836553166867226,34.69312743645817,36.70430522900327,37.8758524400656,35.99816755798441,32.66279287493958,32.75752537220898,33.04346532895803,29.224134614181704,27.239513792292495,27.95141253349555,25.695344082185457,22.73277942659296,26.488629618246406,25.904596161713734,20.962160639668692,22.62163643078976,26.41762910139727,26.319026226902125,29.877491285488222,30.160553514669083,33.85679501347954,31.300227393859533,26.811479562464005,31.473719775769624,32.26126712013288,28.915667915326384,29.147329772180637,34.69171069166645,32.80602113616568,28.448032367454143,32.018440865350165,35.92792016480469,33.29443484701953,30.104870349851826,25.516556189633267,29.15954110415477,25.024309081649047,23.89053405090414,19.39852215236395,19.283484180997174,14.87929729406355,15.665577770147825,18.722452651245522,22.29938304480207,23.783159240533177,24.317458560146232,21.971801787472458,25.369189653036482,22.370078774424154,19.507790022091875,23.03173551678625,23.25767937913991,23.292782924811053,19.44919333429698,17.761730660096788,18.80566197092628,17.585001876889407,12.810013470226277,14.316278812535337,15.74874781130708,16.81539772292326,17.42981068703273,17.45226316415772],[11.669029957424522,13.197423739563867,17.482758755082227,14.867472768594753,20.71159491302642,18.024035520380878,20.846716151171876,23.587752349416004,22.05120654409573,24.725935335032908,26.423657589803355,28.406970442564006,30.050017233390918,27.959438492105782,32.46369642111078,34.44657465958404,33.743733055004355,38.032830519310366,40.46258084242757,43.12745521915649,46.44077185551994,50.39498413885736,50.58585894818021,50.016698007561544,46.75410976647562,43.07935324885033,41.54989308678878,37.7163383511529,38.267803024303696,37.48080923537654,39.8047288476107,39.18891040813988,42.06924410029753,46.12710957552587,44.4243872052737,43.10328275088795,42.16025243334814,43.40584702594457,43.35962631013529,48.8559793002001,46.39716763965934,46.989872910159214,51.370956109061574,50.96056490723471,53.19168604727185,52.39705830465537,56.29999873466996,55.08659828527491,50.614210091449586,54.035720069352955,56.44933785012788,55.44443754039543,57.5155750397268,52.83741193983809,57.51180697244472,60.54854029295328,56.74479125497721,55.212502450944264,59.98399423137017,60.83325279717734,56.147149011819636,57.003968633996585,54.683361970514234,56.51219438240847,54.57421311736783,50.780195018205085,47.617078094562515,44.395409214696535,41.483493158507805,38.885698621706226,37.89556477174292,39.68668131460518,41.86214981026588,45.72789959837811,45.050022357326014,51.45810648353694,50.524385977472846,52.90957724580865,52.14450231063318,53.67805867452289,51.68581250818248,51.2730842701791,48.71092892879553,49.588570077980414,46.808989484417324,45.38272379061918,47.40218923636516,47.51123569322894,47.28788594151725,49.57082353805508,47.096032264049754,49.375744304184444,45.658807100333,43.31246074926996,38.685384651158394,38.207159623913725,34.03657378327679,36.82167716705459,34.11151843933636,34.79634559435236,37.998411556177345,36.89235467999567,39.701692190949984,37.64626580073036,41.232738064604675,36.56197873680127,38.68186981094571,37.7394770777333,33.369837689216126,33.28363246506165,28.695936707733093,30.0783100544096,26.587334962532942,28.14424619710162,28.52048042803857,29.27902087069653,32.59711162970808,33.52031891548555,37.52975070581362,35.231842709072595,32.27709348149232,29.187382079080542,27.343197673309128,25.424873033232583,23.066143836396137,25.88310698091167,24.090996840898402,28.35252011125687,30.5748113845482,35.394652339866546,34.765883344259365,38.963506166384064,40.328524441685275,41.028557385668776,37.52678985757945,33.76771968317359,31.25462612759626,30.778327230006184,29.82663837395705,32.85544278317509,34.66835307525587,39.45395963981357,38.53761217093498,36.22923885754747,39.25763742920071,37.29732036939643,34.31906928533833,32.913462193905296,32.100190400226694,28.59253221685357,29.125559610512326,27.34458805126147,30.57092218347938,28.37724559062687,30.93449214015454,32.76166284640142,31.906007001172828,32.94531275507693,34.4468137308551,34.633638000595006,35.37161909695308,38.4262561946409,37.42725957258963,41.74594503787512,41.79243489509085,39.589330839525154,41.30548639185801,42.59419060349464,39.3687233265743,36.42608062284461,36.84929232065774,35.65465769331826,39.11795254363939,40.56718130416876,41.27684360663618,41.50296513439003,39.94521015860355,44.770511877073986,45.15336123202414,45.698697306480106,45.34332929478176,40.47808102382322,44.78346382336451,47.24299254328334,44.83478359923464,48.17330852734467,47.111310120284834,51.81549850234877,50.65216002406235,50.85698528506182,50.57629447325664,47.49572476922893,46.1291081726254,43.42530444646753,43.411911402823144,42.9317949660072,37.97696137367621,38.528294140879815,35.09485467301149,33.966438393554995,34.94140902606721,33.18793138136377,30.10349566341344,29.963416364990454,31.23378842423631,27.12410304649671,24.422373969704093,27.13008090761373,27.734058774386085,21.833251706115053,22.093273570209494,23.923126918053807,20.877752780877362,17.5838453034868,20.658887074371883,21.85708757849228,25.91687178376705,27.825634367388574,28.76229988203423,30.798045169416433,35.97140375603748,37.62708238458089,41.66079342745863,43.142523023715455,41.967306137366705,44.618229951717055,42.83246080701685,47.21873464734047,45.69101714102509,40.351888769226846,43.75557144136531,47.06374775548053,43.01087854576108,41.52883949151773,45.337345975827546,44.87022485259831,40.44563336010839,40.87865170824371,36.91326955766954,39.59430273260464,41.77035533318845,39.73456084730182,41.715337557409896,42.89949738889247,40.91434842263708,37.64835489214849,37.788987283619896,37.93564294805613,34.10432344275996,32.26558270999277,32.838617339275835,30.470300183454636,27.6874263546816,31.38849587361516,30.586133992231744,25.62934849464854,27.409476377345683,31.122660514539906,31.188189977009095,34.831680281463335,35.22030339343661,38.90435845226368,36.23345524274905,31.835089955899434,36.519515858431355,37.185914086381075,33.786037291156646,34.05709129704426,39.54968795966424,37.449007498738304,33.07662771068714,36.69312153950441,40.51080383870788,37.632577524379045,34.39335012578712,29.748786152623765,32.995809423312124,28.604175489894534,27.75362500164752,23.34795992104028,23.82703757400798,19.593021245771464,19.65223183458977,22.83085570616196,26.190626194415792,27.91341590705976,28.904912969094326,26.49188988290662,29.970116576062438,26.66620951384079,24.218530370869598,27.74108163910866,28.110503980673194,27.777068255166412,23.997785625294586,22.65505421788288,23.38312516353504,21.723659101091542,17.474344607948314,19.134744323519747,20.04995778693728,20.98445745662613,21.51426605855284,21.317145065732376],[15.143439440069242,16.58826357142824,20.591329975401795,17.41911140944536,22.97988067052654,19.95191828780279,22.22178456419004,24.87956633149929,22.637005325864415,24.88473376696337,26.210171781562448,28.481030713893006,30.193547770847662,27.58240510509781,31.962484239181066,34.24962763170247,33.57275554516386,37.611746308139125,39.82659874862768,42.82568561512436,45.96770019712085,50.1018830924784,50.181952655550084,49.63298062192611,46.55248184319897,42.70999848014,41.51071709098109,37.68483753932674,38.23111696630327,37.6364427156991,39.36930892266905,39.27123414021816,41.96231497274553,45.87727324082121,44.4188948735816,43.020328639096405,42.48876993899645,43.6273954331329,43.74497725542006,49.48470291709653,46.795011387292526,47.019222540841874,51.47872811974241,51.119181602903446,53.16604884143732,52.41415084399625,56.36897447686932,55.314819256130455,50.96043303552,54.602111381654595,57.0247930125599,56.2126323997854,58.10354762731111,53.41340685617851,58.14507512015786,60.93192736356909,56.9639609170959,55.46354093558105,60.184021609135364,60.88980099514536,56.02481310578823,56.698978731621025,54.3166999430977,55.89806865793191,54.12038949048005,50.466847032374204,46.91107747249797,43.75933655533256,40.52639713383771,37.89300096294931,36.69570779140535,38.15704347711804,40.59342029083821,44.575524306814785,44.200193224834926,50.60592654331884,50.02447914587379,52.465734388975655,51.96920967619868,53.69388405348945,51.98667924752103,51.83347501302203,49.512444485058005,50.582172502248774,47.65530052287701,46.023537256593734,47.69653465187364,47.8578205810433,47.207012469389184,49.384504856215884,46.625789381623726,48.59816022359182,44.888118478633196,42.70294668763825,38.15510190534665,37.405384325772076,33.30319305029446,36.62298249733287,34.20523175773804,35.25575723179571,38.49738110369076,37.97968815436,40.62428867899657,39.08517346275781,42.88862767509123,38.39560841699998,40.855869372077585,40.06381247177043,35.816334961851766,35.48072166041819,30.83500794564684,31.71986468592382,27.897908312900924,29.193983999713097,28.92671142611488,29.582542543659546,32.57290892255109,33.417587822554964,36.959722549688614,34.72154984945282,31.650902530452203,28.767438091674,27.160369927296014,25.65232385626417,23.71832882428172,27.037002332024848,25.951055192386207,30.153159505738248,32.70197207733479,37.417466720397144,37.06694647443322,41.36158821195191,42.45632834388047,43.038349450266054,39.392304211175926,35.421600564505205,33.19481155781611,32.17624817566366,30.793024662754082,33.6503240402413,35.024133921122186,39.70543508585129,38.662429516102335,36.60930305680983,39.68722969170455,37.6800959947389,34.82167388327208,33.56588358048693,33.13199748775316,29.584642494352714,30.57125720507529,28.455671049807425,31.93464818138659,29.462184547368015,31.647858384606288,33.64628554279408,32.6566642968146,34.13618339075142,35.26677109182533,35.98473610154751,36.55399436637136,39.19107961001404,38.230964289004184,42.58234978205688,42.910033159001365,40.65989261540331,42.751409913838344,44.025978511299314,41.04373356597648,37.870244046455205,38.442851663655766,36.97071491922725,40.446781796729105,41.83298521242954,42.40113013460345,42.73414293672218,40.81007199575224,45.81301838194204,46.19185186339204,47.0004924114119,46.65663943035812,42.07391874951526,46.52601471873391,48.9876593282879,46.412549809222725,49.38436631194347,47.999915674901764,52.76546074955871,51.48102028508325,52.038885805469405,51.940602784878486,48.94601661227811,47.86665832886756,45.340995531048954,45.551969055659136,45.33096850071059,40.4113387004569,41.21292348116329,37.97244375862158,36.76935200150699,38.06436992255004,36.21515200063058,33.001239114660805,33.15676450794689,34.56614971144025,30.33328249295531,27.68369973176963,30.62187862865445,31.198150330286808,25.274997503336266,25.706568313048415,27.600052503856606,24.417775885201554,21.244079316323415,24.424452200614972,25.568008865020293,29.684855469631835,31.481423417313557,32.438498974844535,34.54071071001685,39.699001083799,41.37917988596994,45.377650024185876,46.822288078583995,45.56189628858056,48.12927142966175,46.19202063924649,50.60045673179162,49.1913440971025,43.73716585980686,47.020115432803,50.40834394827696,46.35494386709097,44.723554665934955,48.419346540282675,48.06334920664826,43.64249827769233,43.771113667144185,39.998924465145976,42.49572082582826,44.813844094096865,42.92225658155741,44.771076196756574,46.03923178432471,43.82044375079255,40.65940697083165,41.000355011669335,40.93776587004365,37.00376657930766,35.4529311873651,36.00160987242871,33.51141086906003,30.928607896188666,34.776570709106075,33.85881614736524,28.890847511884566,30.92940843150598,34.66371064488263,34.802746702221675,38.38944973093496,38.66383137025192,42.43100942835959,39.8855629764272,35.410378665175635,40.02343338359969,40.81326849718327,37.42587238336779,37.5234103599698,43.087057632440555,41.05432763354389,36.567626668543284,40.050979470084606,43.9786731343275,41.10572072597156,37.77486045527402,33.08512652928902,36.27868731196987,31.78187128327638,31.22438474357398,26.72112561449353,27.297640788843136,23.009153391032473,22.853263934269876,25.93827620702494,29.24112815833105,30.887781172151527,32.071752315306746,29.33707734710512,32.72542530612738,29.07449173987332,26.985163229506135,30.38631604925577,30.958765233731427,30.209232754291957,26.494378220337683,25.60968986423926,26.08949988444775,23.907151085866843,20.219862750100084,22.22819888104365,22.89626227375087,23.894399375663873,24.51741081159611,24.34918287596743],[18.20543942657287,19.547158272825868,23.220034120200918,19.685636802867045,24.81488735953274,21.3188722313885,22.988434324112728,25.414881410177987,22.507624013811903,24.33090997881833,25.20553937499433,27.675820249869197,29.509646886634982,26.460988834796197,30.600654899195707,33.16422137376801,32.6117784346501,36.37316274096648,38.45461271596686,41.73194067897414,44.73433724631995,49.01883403780168,49.052813000083006,48.60310299541575,45.67863836793218,41.68174429936329,40.76816866551442,36.9361846201243,37.37566788401932,36.903525127980295,37.99833581991434,38.37797545974595,40.82999252516159,44.59837389775852,43.41980828316531,42.009759723411086,41.869745135728635,42.99178008817597,43.328614676069655,49.28338463502328,46.46747593063944,46.27224942350211,50.781781714877,50.55130607766399,52.46132296460037,51.831988998128054,55.81266796680717,54.84584795645822,50.67343651572449,54.55096569634545,56.88289417043955,56.231059517717824,57.88195204893518,53.17230212660501,57.89060521618989,60.444265295186995,56.3509702696245,54.81190466458125,59.45329180311177,60.0833579488196,55.04473846439153,55.47874432099352,53.00367058548549,54.3939931194469,52.81848201335063,49.281196761381345,45.38783823851392,42.26745292379796,38.79474036294013,36.07934934040794,34.74444241825644,35.87808910621089,38.48680127058915,42.59509645241913,42.44729742291617,48.79952140508627,48.581576986169665,51.016497475052695,50.80621809918526,52.748815474605806,51.29977917963674,51.452331424723205,49.34211487671535,50.6569023655383,47.64127638705024,45.75840156820732,47.08587573547613,47.22050131430629,46.18698968975061,48.179351630025,45.17445429404101,46.82641093073642,43.12612632915406,41.083655506270645,36.65690880829271,35.62969483254814,31.645770326565675,35.43455295520653,33.32799443657225,34.713481126819886,37.98876957588845,38.073780157090624,40.564408332353885,39.579279263838686,43.63760640267398,39.37686383277996,42.18323504605532,41.61860467566883,37.530768097462314,36.869351133517966,32.229753793195215,32.620391815651864,28.492519473937147,29.600428426935807,28.668691147830078,29.326074923871385,31.92369887571505,32.80529442941155,35.79235072908742,33.52024921458747,30.419856868961652,27.741827054887345,26.53952379578884,25.40700324887588,23.85989350070871,27.68278601292388,27.228386513090726,31.33878256466419,34.18110278022645,38.711732135084205,38.76169904594868,43.094893027513656,43.94915613878317,44.302389204983825,40.628267503242526,36.46019398055687,34.66820659487311,33.115053736419405,31.368441107633316,33.94642906427245,34.99580939431224,39.500433526726844,38.225119788960136,36.40363927550024,39.44533998919244,37.313143067624786,34.62775075319706,33.44427441682082,33.364649928029074,29.776160985250925,31.168945430972645,28.69801153046101,32.368926093611464,29.650623613773497,31.409821255860905,33.562552419655006,32.47475404737867,34.4020513679404,35.17476777282141,36.474760133605535,36.96995851087906,39.14510826473657,38.365199047346316,42.66752065581848,43.364773945405304,41.223450344733045,43.66171324670417,45.0273242596605,42.32046571388299,38.912856587906184,39.53944333372198,37.737377077590665,41.09612812908206,42.3322461696949,42.685744905953825,43.06116859771351,40.75359920129423,45.87484816374308,46.31600681268053,47.38615509615585,47.14672529356285,42.853226036225024,47.4897211969689,49.991199323311704,47.28305537401045,49.85400447860698,48.143072989525024,52.97389189654852,51.690158934591864,52.59022792994685,52.72813308313728,49.77715108339024,49.037319457030605,46.693031764930666,47.12328902015675,47.188492815254875,42.325113503918914,43.336970136773346,40.32996232623646,38.94365378848426,40.588443819357735,38.558111301689095,35.248377455223725,35.8196628714676,37.316395483655675,32.92310500775934,30.491197235217115,33.65392914814625,34.09249169800125,28.197291474816264,28.9194481283415,30.8692178790625,27.466390906301577,24.524242557528215,27.961119539577766,29.066849653913415,33.21464038792185,35.03524932749811,35.84229149322575,37.995242926830635,43.14054632080919,44.835339536640895,48.76300695525399,50.0738502165082,48.666704240697406,51.07813681426519,48.915422961992626,53.37669965348177,52.17654313819189,46.592359736237015,49.68700770827704,53.240252454316504,49.24964658827253,47.40950277568893,50.97344506377627,50.86223433671059,46.47265450999157,46.19424403142008,42.59657951803606,44.755035200655854,47.20069871120926,45.443174320711016,47.0747687518502,48.41650913836897,45.90707144571359,42.91829143834254,43.488023124018966,43.143344286575385,39.109424901063946,37.93562171469007,38.446462753415645,35.819964677831706,33.504765466121945,37.5458887493623,36.509219387150154,31.555236323204586,33.93563525004721,37.71121413581941,37.93294434743403,41.4026215169801,41.49471076852468,45.389986176158466,43.07255095808468,38.49429756290193,43.0023879315483,44.025814328515935,40.69368185424064,40.56486288936209,46.23892769890841,44.407448388698995,39.79537639655648,43.07997528676405,47.19487941273172,44.44941460937114,41.02859686503844,36.30768093716115,39.60688044520869,35.079500119118585,34.753493984880414,30.099080383253618,30.551429276512895,26.13460074162432,26.010436620936616,28.928217381116728,32.25029822635941,33.68617573606873,34.90483000489352,31.751646024883907,34.936047774800926,30.93197458934812,29.16037485528795,32.29817244989276,33.061028117986,31.83260320699175,28.275413822354654,27.89040677871027,28.06333672015814,25.3531143907416,22.35407561570766,24.706548610143635,25.134901096388912,26.24448066720198,27.01732903436782,26.96932123723903],[21.733062504512745,22.626190706835864,25.81318460022014,21.653593004794285,26.336905881100154,23.181881885180545,24.242279786174734,26.84374536154576,23.489023194671066,24.522191435165507,25.230526373610783,28.172061313767585,29.54267740024394,25.95391048186551,30.050263830302537,32.80859213145586,31.953310098446504,35.356468626283785,36.94116583252423,40.53685187860124,43.22554982334996,47.627282630801254,47.432336033227,46.86588931288212,44.212564451342516,40.14083059954573,39.64702608934019,35.994671459053684,36.66885643762661,36.63157555867399,37.32033717101744,38.332911554776366,40.753551409450644,44.196557461579886,43.095677131838485,41.40699869862904,41.73084630164022,42.406429632508,42.745084909786144,48.835509810531214,45.64356160870768,45.207354661458524,49.742754144887186,49.40729307816185,51.02634630641946,50.324933954737105,54.326312038382724,53.637962112109214,49.55091217294697,53.552784623965984,56.00890119044142,55.618254563581395,57.17470030926204,52.55450094082173,57.398090257042796,59.62786405863948,55.36400074459088,54.052638659870624,58.63131114913315,58.956319681149616,53.834193604267874,54.25559036096175,51.87812676924243,52.87719938905999,51.348621107418566,48.06895462572136,43.80685585847819,40.943805400209314,37.095081398553,34.59984090739159,32.943761420045035,33.783354284401895,36.76147183671261,40.78028471615406,41.10823352869842,47.45000922598429,47.4516631524365,50.09955357049774,50.03659638011644,51.996775244888525,50.934605717675275,51.17814788260646,49.47206650375283,50.77498955112637,47.52949749556625,45.62689230096908,46.570777936735006,47.017734697743855,45.46788585862204,47.618470993386275,44.33284062662711,45.76805209626888,42.21306613681726,40.49775736417528,36.16327884415412,35.076846352322896,31.157731131703247,35.48352415033477,33.74867779465159,35.7384593213052,38.59704466218275,39.247309408034745,41.265898893680784,40.74536821161541,44.69589214708114,40.63713435161806,43.73993302796356,43.14348085215096,39.252421213378796,38.545285566552366,33.868558936771244,33.6656655965825,29.41714672034491,29.975820655618733,28.511435704972577,28.786982361312962,31.03074590659436,31.579236429055655,34.14584379412476,32.221004447747625,28.9792354160774,26.67980221240233,25.47565828622601,24.917669390537053,24.031212021121377,28.020593505942887,28.46420224557301,32.31971741989796,35.44956474314268,39.860959881365545,39.98541812361519,44.43023209173885,44.87976527193219,45.299240482497765,41.334920524847284,37.04989480111373,35.40446582199103,33.32460962746897,31.121496688336563,33.55421532550183,33.96342026588115,38.304182171383665,37.09291313303282,35.62869590402578,38.76057074243187,36.83286644469692,34.27015948338368,33.49920755566899,33.89150135149683,30.549844935623128,32.518388839372825,30.13342668302566,34.156799641480376,31.678998526694567,32.89849535635891,34.864746825493974,33.399931157763966,35.56602547735884,35.78460007530986,37.362308517332956,37.36086836308137,39.121193467306504,38.09162999720693,42.44263778881497,43.2397946938149,40.8731632480229,43.68346813853248,44.87971012822958,42.46597276513615,38.89882794595838,39.78028525635801,37.81250413747349,41.29215343961036,42.60016319626928,42.97206509346879,43.6434937351054,41.107826407436626,46.42328626545477,46.602242354863854,47.93000686958099,47.453690698861855,43.58819923640248,48.16480803406402,50.53321764855643,47.63174049895119,49.80904718686552,47.807934977139105,52.59162018859337,51.010492669944426,52.27604548598974,52.53256921088106,49.7878109892459,49.307368530032726,47.207375557692146,47.89976918419338,48.243987265231624,43.48872022143798,44.85562878864646,42.10656131474466,40.84296359179025,42.867787897451436,40.96065494467055,37.44569038766246,38.17151922032898,40.01303039559779,35.62534023909738,32.94155427770408,36.452001350407066,37.221900615810185,31.209454351764524,31.973624661789273,34.21468101401021,30.897667224745874,27.812387520312644,31.340105419208893,32.13555077963697,36.6354082254276,37.878847537712765,38.785745009608966,41.198521817506716,46.23733585393324,48.200697103438735,51.87163986717897,53.2330480875119,51.64545587426199,53.980330470057154,51.65405363881855,56.01500624702048,54.89521773374184,49.123662037468,52.08172450888569,55.59273115512695,51.5431406655167,49.54009502878336,52.90966932576006,52.81947172143814,48.45168001237194,47.82664726463295,44.587225721346364,46.69716304862054,49.361153534022854,47.93332746862972,49.576865764324936,51.199170051212576,48.48562675592507,45.435902198751755,46.412551745706715,46.057093215847964,41.818350193240015,40.8544603136053,41.63844570794442,39.02766684959036,36.695511229379136,40.93087515249509,40.052000702558004,35.10441667491871,37.48635308431024,41.33053345686929,41.37320637477659,44.73941099472151,44.58872806208032,48.47608790556117,46.32120367141721,41.52690095034313,45.850285796030164,46.95949959318763,43.613860137124576,43.14762529455207,48.87215656687733,47.094363793331425,42.27355173391377,45.329700895569516,49.564812253500946,46.815523655168796,43.24689770309547,38.49439903543417,41.68259222884158,37.05106818323766,37.234692477533294,32.43193234949277,33.078162604075835,28.718904230371734,28.16750323016582,30.90327666394822,34.0581550940923,35.405243096113,36.96954855205396,33.5741884094343,36.722728830764346,32.46588679961005,31.283445426092193,34.54582699824306,35.67920302283122,34.26284203116691,30.547032033049526,30.695601261368193,31.014418377653648,27.78007864986676,25.128058575522406,27.940022588249594,28.601972019900234,29.823751175077874,30.641144375681495,30.585290120456968],[22.26064044204587,23.155216959588287,26.003304331847286,22.011001425134108,26.111733523292695,22.043044228800095,22.57918831596685,24.568163106854936,20.726514183252362,21.662096968518036,21.81265925951172,24.609378047141412,26.427826707326123,22.778002665611247,26.453524553959316,29.36603894827452,28.99011385465371,32.266047957369146,34.17683430771802,37.78187463952504,40.58711055382018,45.03233485933229,45.059060685589955,44.82814769628331,42.11123228323513,37.93156214043711,37.39781973811953,33.58878615232184,33.81584764428713,33.54021941410358,33.69225720749798,34.803746206603584,36.92056385123981,40.38636708077834,39.585386576451675,38.14593763710979,38.601079508404375,39.67194263790349,40.35494144669218,46.56070928324739,43.64599125885353,42.794147531078615,47.32661033532331,47.345509921322574,49.09158058403647,48.72675484921065,52.700791328604694,51.78963450904533,47.96946777912143,52.18883412166805,54.27632925624088,53.84583642582573,55.082261137665995,50.36822169456647,55.0014995629873,57.20112177123601,52.968047271040575,51.34658809748322,55.83542503416586,56.385079019915246,51.12746368935252,51.19902598598956,48.60347427745127,49.747670815934846,48.47249213704958,45.10195532666003,40.80008211370139,37.72558477985879,33.996623191025385,31.17463481673974,29.701387941943143,30.42022502617778,33.18125553972959,37.425196784574815,37.5480007146177,43.78562907288487,44.038975538371375,46.458209715661305,46.632399899341046,48.86209934856518,47.80504756332597,48.40834017290967,46.65779386857858,48.33278348789659,45.21690409256202,42.961028304498214,43.74574708283453,43.85131223924315,42.25587137372024,43.99443662350752,40.666522436092244,41.892162749991265,38.25482445139759,36.46671372451384,32.24807581777285,30.910531829198188,27.126184776279487,31.57417943010553,30.009823432927465,32.04904411507748,35.10687554496733,36.17213174365904,38.2554331968648,38.1914809798334,42.53784777938814,38.74770119299556,42.104622526960085,41.92223093223389,38.204200919948704,37.01221022403803,32.49141663214815,32.00234570371926,27.510667531052494,28.262738315673346,26.280005240423872,26.977568500439926,28.8676606290755,29.896373202676788,31.950782889850426,29.570208054112136,26.538591882717082,24.212002592559898,23.800998192467727,23.25056509480676,22.361442344363716,26.856423576776724,27.44334096987997,31.249464419355274,34.50942303814731,38.60793601788143,39.37624508016424,43.68850362403653,44.121586361926745,44.043497426365576,40.41758373316597,36.001254676750996,35.05674286658091,32.660491144050376,30.427769023702794,32.41891981891312,33.0738079992475,37.18297099339153,35.4582032567027,33.98479609509306,36.86190654234598,34.52075729238484,32.17770508986833,31.113091918797583,31.614226356406235,28.099837680425754,30.1779708463433,27.32561615526535,31.31581313645634,28.560103758137934,29.430253226868093,31.59085273335675,30.235785717610415,32.79969224272105,32.901763920110106,35.08633757849098,35.42372766428623,36.80376281939371,36.38085773297689,40.49882204734118,41.82079952071545,40.00556816232752,42.9411831577161,44.53728616079379,42.330820161156424,38.58431662194029,39.20344328461454,36.85332187241677,39.88624712704826,40.822822520184154,40.808512535114716,41.256912953953105,38.37994120357412,43.627799315275844,44.12635184636972,45.6063410292222,45.53780753484696,41.789111180557775,46.66858789971893,49.21865796100889,46.33691592828459,48.21558428845034,46.00531506674873,50.89441914081499,49.723038468877114,51.136262519430694,51.69219723176295,48.79871215290126,48.657072022000506,46.63827162829599,47.425739603377004,48.00035989495227,43.30528664839389,44.6579614554947,42.135890058973565,40.41817167489105,42.71258736210133,40.406373605459436,36.952585607493816,38.29457749048463,39.98497879495142,35.38373093029886,33.363619366866125,36.94461309431564,37.228118380338216,31.44601930489568,32.7146944756951,34.864563690375874,31.167258255257803,28.629215056820996,32.59844175543751,33.49468248093988,37.7995509696841,39.52784116852492,39.93427809280547,42.25032996729345,47.289945933254394,49.12986134129061,52.744888457682436,53.759250180694806,51.983285538664894,54.036695032244026,51.4081176207311,55.90494878732537,55.15102738811318,49.319786700947006,51.989954494757534,55.84319463481543,52.02332532795458,49.76251474519235,53.02630051905774,53.44563459467081,49.16859658720128,48.068965335160826,44.834210261835125,46.29759316909088,48.96665856637677,47.53244108779528,48.766523811309796,50.32653817790081,47.28606139994336,44.59090682351685,45.70164699465342,44.91308008960301,40.67220923962364,40.212542662257654,40.82024887927877,38.046075736187056,36.15714520829866,40.57965308316694,39.51218803355913,34.66438428667909,37.54764571489493,41.41207653921732,41.630787279096715,44.77681018772364,44.40080041190066,48.48672333792728,46.714482865352764,41.88292854567081,46.07542777021431,47.5961649507799,44.41439880965977,43.750623792203726,49.612557278636814,48.280101658771216,43.420178225408854,46.224858157892605,50.732606369094555,48.355359353922324,44.77190781020582,40.044887361643056,43.6676355740106,39.19421522350522,39.28662545216266,34.31596283067999,34.37228082970117,29.761807575501184,29.821168763263287,32.31887393484981,35.68696026135629,36.6019901371258,37.76380206649639,33.85275926452291,36.56268237470644,32.02488944099033,30.88586269121942,33.51843693303377,34.69032635619824,32.69872141451397,29.414128238431502,30.00833116173909,29.81237551436323,26.17723562738929,24.443984318393877,27.457253050027965,27.74465155695991,29.126947083930368,30.19595644821434,30.429004714611676],[26.464954685785447,27.519292533479447,30.652962241314313,26.487539928051557,30.854420703205523,27.32885995100576,27.93617121266709,30.142279242338464,26.281733380417926,26.88909439457113,26.959804717986962,29.93336732931017,31.525628592214908,27.55646236408843,31.103172025837907,34.15381046159687,33.54904522806632,36.46658552913684,37.817114509362845,41.73407855458768,44.164049896924816,48.70628748914498,48.43457676210277,47.99847490124509,45.626213048984624,41.42353512571241,41.34279152894911,37.771788926102474,38.27430927835424,38.36258360894715,38.135730132029906,39.74503754468041,41.74168367574528,44.950043991325074,44.294267253647305,42.66640181693496,43.48184892621923,44.17416775298927,44.79464003755458,51.05132358625597,47.756594105776976,46.790098197300324,51.32043423210572,51.15326694053494,52.55583302281388,52.00351174031066,55.990807372182445,55.44593293169289,51.6354499537671,55.87130998645609,58.206120050355565,58.017472048553046,59.268326662126,54.677484962770556,59.44286622728637,61.36017675710793,56.98005611545843,55.62671193327827,60.0495660983774,60.27631620984655,54.97449855426683,55.04498023197588,52.55419704991904,53.264535984956275,52.05946720389182,48.99487190483133,44.30399363154164,41.54331919928896,37.41153307079534,34.84917839302282,33.016713945871,33.25071688469655,36.45753107395078,40.602676494183015,41.28612524585304,47.421192080201834,47.993529290776785,50.565417717530835,50.932398229596494,53.186742848275216,52.46531302938355,53.1150645476373,51.65821318359907,53.261609596563375,49.97506108511974,47.78463881163235,48.291491208953175,48.65424907471555,46.646792889788024,48.45658341752813,44.883487712093675,45.79059902622816,42.2979952950913,40.80363513045202,36.76979308454293,35.247652526972935,31.662364022485846,36.491092166938614,35.20016953453641,37.433203314506336,40.40716211878471,41.714419707960694,43.61998336768005,43.701100606375746,47.9201665297197,44.14123817241433,47.505453063020504,47.156917186399106,43.422680555264066,42.41504573203249,37.829827521397554,37.255918165705594,32.8156575480927,33.23620409462849,31.11473615849376,31.40040885533782,33.08559900061786,33.645941537716446,35.37961643144575,33.48788577992666,30.317469539657758,28.413428458716634,27.78424232823334,27.706209492874024,27.256075795646158,31.59284712191074,32.51345345610643,36.23351508306674,39.53850892052025,43.72504562640915,44.212140732849235,48.63102570563982,48.89886628866736,49.0867765088655,45.17235686384541,40.77214280681872,39.53774937328444,37.0383180468519,34.54035962952749,36.62839353270745,36.63613951326744,40.66408510047521,39.22479287971216,38.089288986005606,41.10809153123441,39.06677480664742,36.77734209888448,36.08137604442549,36.82231182918475,33.48259295010985,35.72968484722686,32.959113676426085,36.97195182705929,34.12855168117829,34.95139655036474,37.15229728118941,35.72411371380999,38.34778512727835,38.2444605703067,40.446684433218344,40.44256018509999,41.666552465651456,40.887266606660695,45.09630306604502,46.291547507873204,44.06881524111273,47.19177392812275,48.44294086966995,46.320956841027986,42.59348910170782,43.522168962112595,41.27533110454536,44.57339866298482,45.69244987646916,45.80877365412088,46.475413523796796,43.54539700560085,48.88194480640823,49.18599172819024,50.77561873620818,50.460524006263256,46.921948620279124,51.64731441560938,54.04414057303217,51.048338588791154,52.78578611405599,50.448241235448265,55.245618881663376,53.67317788198965,55.30985860902322,55.80816841466673,53.14449126035443,53.00114062564295,51.09049766652421,51.96755183087716,52.54457018194003,47.86895885341083,49.36538382154348,46.78720667973072,45.36970723072383,47.5828721185113,45.507829006087356,41.99593104364948,42.99885919139008,44.802712047035726,40.316750785140584,37.87169384046198,41.414186044578,41.96966690510215,36.05155833750798,36.96468561826183,39.1095966523089,35.62804769549667,32.74846460624006,36.32544648683159,37.230850839319345,41.59875912534257,43.0352886375869,43.88660780430769,46.234739624767826,51.30380032974986,53.15833843507175,56.903599007274316,58.17607168787448,56.56346570429787,58.80873102960953,56.365374162196495,60.78685824133887,59.804508944849076,54.002156096790785,56.84194803755534,60.47485222807458,56.487275921704075,54.37384425614551,57.66220541834295,57.736214259305925,53.398347830564624,52.53614828824799,49.399286029518024,51.245707290657556,53.95774045228625,52.56674228605182,54.005801990266775,55.587055937624484,52.68180685962234,49.8422376374652,50.86987871415481,50.24847046024599,46.03235277251077,45.34085156768399,45.955289262538265,43.22467133320813,41.16428406202762,45.436177870629535,44.35913023995932,39.45020274482893,42.09327030019284,45.91083182506839,46.12269718937003,49.45329941817981,49.27583562543885,53.2550181884678,51.195495878277015,46.43034951647892,50.736529987881205,51.96540748934287,48.65786285451969,48.151165886247234,53.91586140766059,52.224939293741684,47.38997049691499,50.37313050133085,54.675744040045714,51.97136114688123,48.384038617747436,43.630316869829805,46.814427175904314,42.16854889042994,42.40566154946387,37.602519329974854,38.21301158021069,33.806170839477616,33.3087087548819,35.989792908903524,39.12951382100881,40.393310146171004,41.955020982804555,38.35585450653879,41.33387188075491,36.888226434744155,35.860206201438494,38.82016779786114,39.98588591877933,38.19525522816316,34.754410725313534,35.14389717281287,35.1150970298843,31.668406157474184,29.558047257976277,32.38558233270965,32.68312367891807,33.893745460668626,34.760679918962694,34.72580117813812],[22.79178413002298,24.35273378545039,28.090185439400113,24.530034701014525,29.526012072953307,25.847487732686623,27.2079297953149,29.37936387282515,26.036622922454818,27.5304757578657,27.904358882310227,30.43448068170039,32.48301323918359,29.055748812005483,32.81763008589441,35.66014355554217,35.27575085311784,38.67227552141514,40.52355167280862,44.1154483306045,46.89467328141369,51.32726996156296,51.2549473042898,50.854332341991466,48.172795358767054,44.04731146994085,43.500776152985,39.73139373473812,40.09061706783214,39.74760399923339,40.102303840929906,40.98408717452533,43.09570195584296,46.70228060737047,45.88980997564466,44.50939959413196,44.7751609246453,45.882878409014126,46.418409789922734,52.53805059041153,49.56753313984525,48.97740935432007,53.51188178766733,53.36556189321848,55.06899536346538,54.49737923212202,58.491731401413965,57.69513738480683,53.69045844744365,57.747480206494075,60.06158217368382,59.59038541931626,61.04160572868477,56.351663061261014,61.05583500003694,63.355637417689614,59.13937431956288,57.60267500340432,62.14111791864136,62.656195743075735,57.457482649286675,57.63328727046113,55.07044280503127,56.195897146205354,54.86570636122697,51.51089101014641,47.21663333338356,44.1896638690745,40.418658323490206,37.653662670156194,36.123781168014375,36.74545293527726,39.60980773326877,43.84529260918556,44.03209583222904,50.252176599264104,50.51835040713072,52.91540597526366,53.06262719564851,55.24741661701111,54.07974409434958,54.54417354906546,52.632066144342204,54.16709336960248,51.087470770709025,48.9935797336207,49.97562835946128,50.068247244628274,48.64451302245707,50.379969845791045,47.111447891851114,48.32047327047042,44.648230657732114,42.77482886293257,38.56865967839735,37.144536397587736,33.407034244044496,37.658966589616,35.89452295339718,37.443321032682796,40.89826813623457,41.492238865151485,43.93798890371369,43.39816106841599,47.67312039035193,43.585569457844066,46.571291090913235,46.15404304407287,42.146418426421675,41.304703494554005,36.7042514880997,36.84069731382871,32.54735837356021,33.51594190035526,32.067900520593355,32.665497389083,34.862691891907005,35.67055816752249,38.050428040754305,35.86060926186504,32.74124320526628,30.375607522055773,29.51891130950223,28.81134540263275,27.650077218690885,31.751367572249574,31.699378223768655,35.73178251136664,38.71422827412223,43.13270545981266,43.36737235129567,47.714883032507544,48.43437269394717,48.68619799574984,44.98122419384086,40.71777144504397,39.12258435986232,37.25619224029927,35.22790035051955,37.62183432628127,38.2578545066493,42.579793458176354,41.202530429729116,39.66009236950487,42.680933206497095,40.501314996721035,37.99348449572739,36.90865765542906,37.113910253060425,33.50682512836337,35.120896447183284,32.31614794779703,35.967166533262144,32.843197522491415,34.35990308320672,36.77738747969796,35.74816712639259,38.05233796908503,38.59362554047838,40.372149939731244,40.83372763476761,42.62126595916168,41.95307359121439,46.20580545685632,47.15798326158964,45.00978511616787,47.70982062896814,49.03458438447517,46.518162600391136,42.99442715240106,43.730910854855104,41.757128287859935,45.07111147821993,46.2172996376477,46.41267858596663,46.80777218151954,44.192154948334036,49.36149802965205,49.887989730017146,51.16060793058542,51.00680446202293,46.942809065274176,51.679039902835676,54.18442746372377,51.384628411772,53.64955414728827,51.67939507537103,56.5268040765007,55.16176982271496,56.357319188412674,56.63804112334179,53.77743755890518,53.249153835157124,51.03764965564171,51.60200387261712,51.80400478269023,46.97910757171671,48.093381621147586,45.158592825348045,43.73412938001755,45.44690886398264,43.34203680385712,40.043915285929444,40.7023725017012,42.15606952374892,37.72931179638605,35.3832934266384,38.50435719915322,38.81145117464565,32.98957187154062,33.698696152838664,35.51139647066393,32.05768709691024,29.211658819572158,32.495750389598214,33.734651928948026,37.71584349484178,39.66686293070952,40.583007373661026,42.642766174561096,47.82523498809389,49.384747116508734,53.4609352763067,54.782758347876914,53.45375112564872,55.875242690532,53.71847917643672,58.21556306856759,57.02773161466757,51.471034666918946,54.553752521368004,58.12896223778953,54.13995298983885,52.29447176511485,55.837142208718575,55.7244757080754,51.33166955383151,51.0094361901054,47.46862037955729,49.56183192307484,52.026524713693554,50.25742626016876,51.79189888812576,53.055013031911564,50.475840674344255,47.618893166565634,48.12970093303173,47.62614619225516,43.65755753372865,42.59657815800861,42.918535547359895,40.20699091208432,38.07379219438435,42.04563909586941,40.80948046492273,35.8863385456883,38.39216931424111,42.09742574819671,42.49257112898677,46.007644587632875,46.19479806553014,50.1190146803367,47.748624410828796,43.272944765649484,47.82862288264033,48.82334721024485,45.485750270133096,45.43914909925369,51.09188289287658,49.186693320710965,44.61679098817227,47.94201219803083,52.00898438989385,49.17637876611012,45.76906559866017,41.04829102353305,44.18756673678851,39.59829867302553,39.29762756875873,34.74427597170331,35.35628191427316,30.987079612987124,30.74054969217251,33.69718707876126,36.93904007415955,38.45090096442549,39.77048417498695,36.59270075891521,39.741374072762675,35.63351731042803,33.95784839278186,36.94223310326181,37.68009512121513,36.22788249859091,32.8660831907751,32.55664892562415,32.464252285931124,29.69272928967034,27.01215221600221,29.25820534204888,29.329072663301467,30.333908368005677,31.064401556652943,30.925055622084596],[23.559338926655037,24.847359400455726,28.50390953880373,24.630743988020985,29.714657395475324,26.76629101509164,28.176883138381605,30.790704178381,27.599051221784443,28.8344821030399,29.519124702168764,32.33559298832169,33.87657904337328,30.317460067167595,34.3511953629288,37.140802536017105,36.32421444625966,39.69100353516906,41.179029065260295,44.83842625674174,47.44715008946179,51.869867123845324,51.58707639573531,50.933511701468554,48.3726353322855,44.31337239174455,43.90900659678502,40.30896897314787,41.03483022085741,40.99820138078994,41.61172288644926,42.63206473762569,44.97181883465777,48.44366436657006,47.42036129519744,45.7636392553958,46.089604005175985,46.769270057708546,47.07168799797404,53.14142369874711,49.87767421562326,49.49271097612164,54.02496260669599,53.61209060057774,55.14604997628143,54.33935615465423,58.34440829776302,57.76949555699932,53.631884658605124,57.57162002442387,60.15385158881749,59.789633323692314,61.41989084720739,56.83129648127235,61.70948488495342,63.9239174066793,59.64282180001644,58.39155865897084,62.968494495037085,63.2341167142815,58.115150751593134,58.539524788232846,56.16793713064186,57.08200338379642,55.57897581038609,52.36244788098431,48.00968277155928,45.20517729008618,41.26292190002043,38.793251148457124,37.060982797936155,37.72066412482334,40.81378787706089,44.84997689610349,45.302105599485714,51.60020359534899,51.72306374431008,54.35810864247664,54.363053128430074,56.34950934410248,55.30343215313397,55.53947615103657,53.80364524291648,55.073033088247065,51.83268524804731,49.97620937887198,50.93812541689469,51.37914988648359,49.821077917697714,51.91806794446798,48.59769471962965,49.91845530271141,46.35612573984285,44.64313361491417,40.366554832993046,39.14172948362018,35.303656248888814,39.647313815605884,37.89447049961193,39.68049013436096,42.775330304665005,43.301845517718185,45.48868180463907,44.8219740656207,48.76732595437703,44.59793989923398,47.5333073862399,46.83416427079055,42.818815658080766,42.272698692154655,37.579550427752544,37.65041740020845,33.48999451951718,34.125520112507246,32.82353830339744,33.03453873299688,35.32502762711937,35.73535212012975,38.306965926736446,36.51336489275325,33.23740097404507,31.007847918999268,29.681066728915585,29.148875440916964,28.217816291877945,32.03263240594019,32.227877701138134,36.15573082743433,39.14955229957879,43.690817050347675,43.55314128915298,48.006110716861166,48.57180349531336,49.16132526634037,45.14919409940911,40.947289007180906,38.99226131723861,37.14387253186829,35.000654971554255,37.59012415370243,37.87832625335278,42.261386438989085,41.2274861923473,39.80536733830176,42.99713915344144,41.157013471328526,38.56005106559905,37.80814755505246,38.11406260447993,34.733073656097986,36.507518085008435,34.07963320683321,37.91651407587608,35.17362467832803,36.66031621386991,38.81175574821342,37.52430452746845,39.640122267145436,40.028019739656415,41.49875732705894,41.54667625373831,43.42497286212574,42.286042940259264,46.68450203106893,47.3328621168463,44.77894092563935,47.51158182317495,48.52889061225993,46.00118609561725,42.553650742277235,43.52996248816278,41.743706429407176,45.357122786602964,46.75990771175205,47.212814773840655,47.86759280232441,45.404700454352,50.685997346401955,50.88837828005565,52.151682467858706,51.63794730240356,47.67147582470856,52.17240694290211,54.50294038973481,51.6290492634096,53.93782794370919,52.01110647338049,56.761418083644614,55.04052279266139,56.257040367074694,56.38811421238017,53.7014368639662,53.0549149854948,50.89059499441611,51.491434377137274,51.658335262103776,46.86153282634456,48.1217492441361,45.171490189538545,44.085684204902016,45.795198088196194,44.00831496222306,40.59167223687206,40.93822796814822,42.643657878537496,38.37711171094923,35.52072726967948,38.7453599496748,39.52624067814004,33.535358850730574,33.95702278393014,35.975926226363164,32.83085021380602,29.59159523683143,32.64467339810525,33.64037798609885,37.91143062079411,39.24981756117908,40.49846494310415,42.747509134123085,47.847982870919076,49.63377512696529,53.57654538348183,55.1318841601858,53.8200107326155,56.36662715710407,54.31956852162873,58.66606157921595,57.29550695368137,51.69863938048243,54.882253873103245,58.21538288229826,54.071123052632885,52.31364386796318,55.82257448977244,55.41023148229306,50.98905219645843,50.80472722389664,47.43070725737536,49.89034439665017,52.44207113141667,50.84179853000205,52.640850569440914,54.08948424044811,51.62697527710615,48.51241610064725,49.15084098716556,48.934828688635704,44.86636022985775,43.590024470108055,44.189512372421014,41.61228024515997,39.17855757370502,43.13005217314986,42.13504605061364,37.173149388037075,39.33597929265382,43.05954654589652,43.220157583028275,46.79421579648281,46.97918277248,50.75910332874357,48.2532300206876,43.69498713438654,48.21288447454913,48.99898445144904,45.56943194683268,45.469615154335685,51.042383347378134,48.909384716241696,44.280468354389484,47.630933867818,51.57799524471803,48.540285995592924,45.08865435306425,40.36536207236989,43.190444574773174,38.49584618088924,38.478719005541045,33.98422097250798,35.01676478531941,30.86049790586396,30.076055164628333,33.06063559362028,36.080287635782824,37.79243376714477,39.48226909154112,36.531549185336004,39.90558969630961,35.89368042617478,34.45512254102091,37.869223038374884,38.76183046461307,37.60215027639751,33.89995244896478,33.575406266189454,33.906059060386376,31.13614712065747,28.062362455329026,30.41360732501905,30.895702010503282,31.87606040394803,32.47566687867175,32.171295362626985],[19.152920650872346,20.91280638769479,25.141600702261968,22.060979027303265,27.698081894037358,24.81365106818734,27.02236824970961,29.61443337132161,27.147863747145692,29.22078156211481,30.2844203318811,32.63151230438074,34.473412387120796,31.563127610104186,35.793973817021055,38.28492991956352,37.632897532714736,41.46243521399964,43.43619023166357,46.691975330066306,49.65018559071453,53.90189702743969,53.835738728292306,53.21424374660848,50.327727277483845,46.40408964329721,45.4899161095383,41.735632341993735,42.34045752688607,41.88608643599443,43.19912996412164,43.43414671256061,45.94212152898682,49.77650118752662,48.52327884991808,47.094230339981024,46.81585806647943,47.86619015798409,48.03616279502341,53.87753365948587,50.98871555899928,51.04956380871917,55.54349280674092,55.133680642323505,56.98898413965337,56.160374126305854,60.14283486562724,59.29225999761846,54.96153510751359,58.66164048692215,61.206405386233136,60.53485304684413,62.39388114167435,57.736038438042776,62.52857314819192,65.15416020520864,61.08035628945627,59.6675927086386,64.35208659493185,64.91298625315336,59.955863331266485,60.538933927110754,58.13756868648743,59.49105925849054,57.82085652007154,54.31485078245865,50.4489285993438,47.40231920879534,43.88662691667583,41.269590689307826,39.86638157166842,40.96950141501973,43.68087198791054,47.74076908933055,47.66704852680125,54.03829586408889,53.760574489364096,56.232611314084636,55.9453042111781,57.79147851987402,56.27133668436425,56.25045105025597,54.057444428149154,55.18843640644185,52.182580401704925,50.49313338114553,51.97337359781843,52.17863357759025,51.26408274751079,53.347256266485076,50.39212274741501,52.08730491210259,48.38560916047558,46.31310234549493,41.873208898686855,40.851849898776315,36.87189453648152,40.53336667689652,38.29950603964246,39.39942966318375,42.82366596612863,42.53986240580271,45.204386238818685,43.83465465833,47.70884872214128,43.243132361004676,45.71424023152125,44.899911838184835,40.63954078864517,40.33822057093428,35.69550191977584,36.53762822183039,32.66486962502362,33.83289923550109,33.3230372600074,33.82742681253294,36.63115210396621,37.28389702885716,40.53387486075111,38.468840026332884,35.29777997773836,32.63440188854886,31.068370969078195,29.87932854221525,28.23007061832423,31.62711719699307,30.759961951601618,34.923219086995076,37.497710359059965,42.234630637350094,41.77883439431812,46.10383974289994,47.147468646758426,47.83212094322212,44.07486492801374,40.097148890405315,37.752691692735176,36.65162723621676,35.07947547454232,37.955568728092835,38.93724406320938,43.57196275040114,42.62398564654937,40.77637759831231,43.928699508213825,41.996222205793146,39.193898882194055,38.07530695519801,37.804218888103826,34.25495564250075,35.33403814562224,33.04352962476251,36.46579482469631,33.6518879957729,35.827521526954364,38.050206590021496,37.13207575476317,38.797231659183545,39.83874088360467,40.74721483568099,41.23402014679836,43.71732136201675,42.66535336014601,47.0610440024946,47.40336407559204,44.95590867028072,47.17795890534531,48.26613794530282,45.330105864524505,42.1614675610264,42.907800667242164,41.461503604963944,45.054228676201255,46.49296578889036,47.062052050986665,47.45196889190846,45.40177716899695,50.455288671479614,50.83443647017275,51.730222235896115,51.34369049414544,46.858586710078235,51.28724250070243,53.6965992525498,51.06403656738299,53.93980305065737,52.44603446206945,57.19577609954325,55.7145249413298,56.42222533337079,56.30629341600603,53.42808262910733,52.355469817624744,49.88125080375546,50.12954590858798,49.88112125256443,44.97398434508799,45.80607843175981,42.49864967496877,41.45030297370482,42.59503535597085,40.843224000916315,37.686002180897255,37.60898108177351,38.94991913758165,34.82963954422162,32.04908734964888,34.78076842733499,35.36763599272504,29.528006020402884,29.67136901449997,31.34875564075752,28.339760177853783,25.096482998317907,27.7626530297346,29.07167864629569,32.94231093345079,34.75655502109519,36.07153800077211,38.02646240020463,43.20503810295015,44.718175398848615,48.94723300891879,50.564749966955915,49.54223243667029,52.26797978851313,50.54157695237285,54.919334012303516,53.32596298670179,48.012749623308444,51.439099433482404,54.67074039559153,50.54168505776486,49.084411659404616,52.83453937447885,52.22035019961102,47.772751435438686,48.17369807819142,44.40132026500894,47.133584397873676,49.40562987181056,47.43995963732494,49.36983536816754,50.513928682950535,48.436850151386714,45.27842922284566,45.39705292980154,45.37828734515504,41.58544858921505,39.88161309984718,40.245566337617014,37.76095922878971,35.19095515259702,38.784291652196586,37.715326843654736,32.78336588087403,34.67958947997687,38.26640722268436,38.54909326430942,42.292453180112304,42.842375538617034,46.51223376744714,43.69033286081117,39.44419497501274,44.17865101895261,44.69709933457301,41.25206283414813,41.62743666127768,47.03659755516457,44.691084673318215,40.36865321493546,44.05329147279317,47.7249574235932,44.58274958784471,41.34428976999797,36.69867242283565,39.4774300654119,34.900708831243044,34.28121909514938,30.093921316659895,31.109942305484143,27.07445598891868,26.570679856424867,29.811144422540067,32.90421167643363,34.85850459801084,36.25654080758709,33.83272728291319,37.357828832837164,33.80767821972531,31.70825324998792,35.16295933221152,35.61090527954444,34.92189708005273,31.289796022676992,30.198646483800967,30.583094722238535,28.62125860593323,24.88858834285484,26.560225622097867,26.93782058434891,27.693968922048747,28.130547946268518,27.69531905284163],[18.459741107400983,19.13522258779832,22.53381522406684,18.462740554866777,23.73496704237133,21.75567830899229,23.572923301128196,26.800885464774275,24.362778983996193,25.78889231557684,27.301635520119344,30.168830247332597,31.075404228046082,27.981035347692078,32.59791693723803,34.95795793526923,33.66111932645439,37.44802289606719,39.005942238395754,42.257888212766886,45.0440805144982,49.23661178669146,48.97246510472194,48.1040234358566,45.29903619158942,41.47941125835363,40.669702077758735,37.12306519543244,38.18368354573406,38.172459969288255,39.8981378338719,40.34476967730666,43.23418426357603,46.80630567687483,45.193423821745185,43.3453860490091,43.173836539985366,43.598955525469854,43.48546183938239,49.26436489235808,46.04229615714893,46.32203455459332,50.79685978496448,50.10824704884217,51.81390753890174,50.78710779536843,54.76823738329547,54.096821638680474,49.661315247222376,53.264924458825845,56.03170610108705,55.488716269428835,57.4974174867565,52.962927814027225,57.948777813163034,60.44533864457366,56.3064009228558,55.22948346515952,59.94866036575386,60.22022876109492,55.382641775240465,56.29424456490133,54.16055898485345,55.299995920411256,53.37907714725391,50.01559046745791,46.18639951440991,43.4069569004366,39.790662220360936,37.577723081203764,36.001526295477476,37.34343324695441,40.202463557104146,43.933793966989704,44.09142068384621,50.56536739293015,49.973270945052825,52.77791864706724,52.23269822199245,53.77248101335139,52.43211670754503,52.11344420811254,50.23644396481808,51.03695328426407,47.79632533853802,46.38601894804815,47.788525906671545,48.49576462956125,47.381009259844305,50.01328286455493,47.0284109280059,48.977351786994916,45.46368285857366,43.637088188890544,39.07982867387793,38.481680565140834,34.32311321980701,38.08448742526911,35.933043516483146,37.63577328280187,40.23998694211166,40.067652910909544,42.11826658260214,40.795237741642524,44.193938709816976,39.77426618754767,42.40907153466761,41.316152393973205,37.219492007342524,37.139713973841566,32.380874743957996,32.74100289135137,28.965026601860583,29.522786218291273,29.041104658358464,29.04972519472701,31.92156101014286,32.15560633487118,35.660046413346066,34.02374964129453,30.71338332182854,28.188059419568678,26.08494836046508,25.109857356211933,23.853766006476608,26.99278069664986,26.831954581818454,30.73351711879999,33.514339428142826,38.26310351157917,37.596339426836245,42.08435837298066,42.722073489465856,43.688351308219026,39.52001836400867,35.52091437963698,33.02821683907634,31.645821906725672,29.825563713504007,32.80249488197775,33.41798951633624,38.078456863228375,37.42247907955952,35.70757247730175,39.020265286762175,37.486447252009974,34.615269193032425,33.97036399609261,33.96524328395797,30.822520309679394,32.39548689620117,30.70999687921519,34.63276275293499,32.69770218772791,34.433296588982486,36.046003536922875,34.53516698279298,36.009211347144046,36.58641077880593,37.202686078882124,37.00275142200723,39.447050922492046,37.84457819532498,42.37947128676333,42.46803519625297,39.65453979361057,42.03329887560646,42.8879561749814,40.0863092258294,36.867447544483774,37.86267294725047,36.462760322521746,40.332214570414095,42.0272011976425,42.86544338309013,43.6629257483398,41.73036104776306,46.9771503197878,46.854469492938875,47.83298722840667,46.96789051090264,42.78359261391295,46.960266687568925,49.155519040984956,46.36901432649971,49.11612624895881,47.58104367392534,52.22313440333414,50.392826280155134,51.20913490254243,51.043137979366314,48.35454681366289,47.33555675740844,45.024523766661275,45.46201213523319,45.413778834919455,40.596775582953065,41.81913366624413,38.76814503375157,37.99782520559984,39.60329713508048,38.1698674603895,34.67511964253283,34.657333471356004,36.60807497387686,32.55107612312344,29.187117774844054,32.534419150818394,33.864309151129774,27.71050491735772,27.90513474474173,30.265841748777003,27.48563802617421,23.836009479935466,26.863887900204617,27.451574632365606,32.16901512489924,32.82520580488292,34.17727072924123,36.6968112882983,41.661072077289624,43.800808341307366,47.42057700525654,49.11573048258995,47.70936248228512,50.31900473324661,48.34670294929896,52.521135545416044,51.01300047596816,45.366892514050996,48.625230244844225,51.748496191692176,47.50131168120246,45.81664093417784,49.320434476905,48.69963587210439,44.26799446212487,44.243361048727536,40.922184988222654,43.73270268712467,46.31062553136982,44.856830871635005,46.96325980681358,48.640902948698894,46.36603469744498,42.91725454618492,43.724600416000385,43.92336699311505,39.73522211446711,38.16888039095376,39.21736793205528,36.88015816750748,34.01869337297807,38.00207110391777,37.45884064090893,32.50032853045652,34.21062673245993,37.999970664662406,37.75218869056669,41.27621833084596,41.32547764164439,44.93752824555305,42.42550844847178,37.69089816061133,42.085746702718836,42.75744443861574,39.2823104578485,39.023153044089405,44.548311337020706,42.36002452729093,37.63229239052088,40.935113772476235,44.8593305795842,41.79683310341965,38.28958106016625,33.560891402224485,36.37986444174244,31.67684657182539,31.8552717084814,27.24935228465657,28.40869413305427,24.389735388197273,23.288491825968894,26.243542595702362,29.193950496558372,30.963268759764397,32.811813490433714,30.09234004267346,33.67796283279302,29.917514725817597,28.560793017811108,32.48208560879473,33.5182088496719,32.88995586699755,28.73043324020364,28.30499958360554,29.31214997252735,26.68442482968516,22.96336751747124,25.48381930876134,26.730641464246602,27.797977705707154,28.33300543152784,28.01215443013919],[19.289158877873433,20.43700684753424,24.411650421098358,21.113440173602175,26.84233459202309,25.409207584193656,27.842079000462654,31.097791749450536,29.1691346996961,31.009684701370062,32.66932363222133,35.286826398283736,36.351220057503305,33.52105996772843,38.177565044268405,40.433350653928734,39.152216627067794,43.059795849276234,44.636382997257904,47.78112367331228,50.58562105638057,54.70342658409016,54.39607098284214,53.39347433296117,50.58007526156443,46.87213976701501,45.96955042295059,42.476171566279824,43.61551434102807,43.50805237610803,45.49984431865953,45.669027801570785,48.60082220992027,52.30637385920516,50.61717259395365,48.82937270428186,48.42251194750857,48.89260639524024,48.62503688606319,54.22877456522228,51.04294930992572,51.62615634121296,56.05656945334768,55.221383817384684,56.93472011586937,55.73254925525832,59.68733440177921,59.070266474130015,54.47707971622758,57.849586070050115,60.788762622092094,60.1636585759442,62.39713350191592,57.91803834595398,62.925307237823525,65.56147801222959,61.497650731965265,60.495112911691656,65.25608582027931,65.53034891648298,60.81053333974437,61.86600278058004,59.78355467199896,60.976806358712544,58.96134192936085,55.57647195531666,51.86885925951632,49.1039008255451,45.54513439354511,43.363905542289224,41.80692179629732,43.16525468635847,46.02768633545614,49.739744909115586,49.856698134448145,56.33538452691826,55.646545364557475,58.42918661887117,57.781417279188865,59.22355308996242,57.72786524490429,57.22127793926833,55.17446144829186,55.79463249115334,52.63685922322149,51.42434404443474,53.057641524559216,53.751313579074925,52.8740857223477,55.541600708021726,52.67162063476453,54.700276404446,51.1506861357725,49.219416987601996,44.63698258752678,44.03837717455335,39.87715055638725,43.408174454961774,41.063138210166514,42.35899245058467,45.20368931777352,44.56009347383815,46.881635747422,45.089769697070686,48.31321146768962,43.67535834575337,45.88352541033682,44.547910923105526,40.269213568902934,40.57025791036222,35.87192815924905,36.81725709971446,33.360046670003975,34.11605166297148,34.15087470077608,34.12998023605967,37.23041468163375,37.34039152844178,41.135418247676654,39.60863959423287,36.3001496420745,33.72500897543752,31.364779037316392,30.218340714622574,28.72256819182884,31.376475125157786,30.583587207792892,34.532935754452765,36.930258692163605,41.8588999792446,40.65691563087332,45.06265541136194,45.984270265248696,47.27379710304613,43.12742419626618,39.40018870656915,36.34032364899131,35.57848413613491,34.08186750971845,37.33540903420069,38.03325562707084,42.79864357931923,42.450962885419756,40.6436995653453,44.00509337389602,42.619766119888375,39.638335671455195,38.950400023267235,38.64955855499114,35.50354885928457,36.62293140844882,35.08040435520359,38.656093158027346,36.57827960414891,38.81038253536576,40.536684935113264,39.28681939977368,40.463299616317066,41.4247310070099,41.60974150157437,41.530390068955086,44.34862488740211,42.56510049090602,47.13784759116603,46.84938682307811,43.80938687109986,45.84906468603478,46.4441303705103,43.361388206115315,40.47626474783605,41.52061829732955,40.54472944295078,44.57533430810383,46.43918918030395,47.47792190742726,48.21267090437401,46.59174748133085,51.701204089249096,51.58147272882912,52.32211709229103,51.370217123568,46.92266208685067,50.869278685937246,52.98350678813523,50.341068176174815,53.473269256882695,52.23753427655867,56.78095504862716,54.8268576083756,55.35310670379262,54.89576862063142,52.25556863301539,50.83368902176951,48.349057127931225,48.528083579032064,48.080771778480724,43.24213402181061,44.18059276590855,40.78155197079323,40.36329863210133,41.33571529751804,40.20028751861052,36.94830508144052,36.19657869852731,37.89646609208424,34.19020319750529,30.53840893412879,33.29607099477511,34.73781657533125,28.753350248860432,28.2902501755722,30.284109206302524,27.991024927463517,24.08772692922369,26.16453987610169,26.98442980687119,31.301460558142498,31.963718178680768,33.879316328617286,36.127599939986084,41.09021776466085,42.99453272066612,46.94587656716561,48.973119253398366,48.02172202422007,50.97401411105839,49.51885855554286,53.58743474855024,51.63877967366756,46.35658387831005,49.980970338310016,52.732853276881976,48.36663988772837,47.148935085016355,50.86450144498489,49.68521605161659,45.2213942148876,46.01879406246186,42.46958170569604,45.893704613197144,48.22102895023307,46.496947549924556,48.91412790936407,50.32876484162609,48.56550583019047,44.96605266920592,45.22209647064584,45.77754944755674,41.90717316021414,39.754384143014285,40.60742095860542,38.446094750931,35.33791547430268,38.774162252769045,38.20154279350948,33.321784894929294,34.470612457521874,38.0101406415702,37.829152438901666,41.63006117720664,42.2048943925415,45.537818370920895,42.46795309421141,38.16499164157919,42.79106643253885,42.87993907251059,39.30817270201967,39.662159449540034,44.832613816727765,42.07170405050172,37.743472623204326,41.50367093401746,44.87268665593274,41.381479256494714,38.134958915847186,33.55001568580478,35.74634880499748,31.051509879796253,30.812068160559594,26.844954133774763,28.62260874678837,25.123362024689822,23.673592382018963,26.969605419780383,29.622527451429363,31.98047440063478,33.939025812269016,32.12802736597922,36.03167507392283,32.87334436465199,31.0628844719057,35.22386094703858,35.84673068998005,35.81626350742119,31.67461185709552,30.42264326365731,31.607378883467128,29.868529975706455,25.42524935020443,27.109646304911884,28.264358236598667,28.935887445603157,29.076552672428605,28.351051859522748],[19.442417256259738,20.962657694679383,25.266271019836594,22.641387565805303,28.55798509034245,27.2208143318398,30.023316653472644,33.159902368321944,31.557878149707975,33.75183957183456,35.459472606319494,37.82430746558751,39.11152464776393,36.529801830832845,41.1641520835577,43.336916094972054,42.18850487948208,46.22224156325465,47.96510317898676,50.98548721059333,53.891446525229576,57.951662457700785,57.70916830794128,56.71470486437521,53.82010286680988,50.16722310262455,49.11147833769799,45.57927515470046,46.6450980288555,46.35693949312037,48.5129516761268,48.40237188545304,51.3218885642912,55.17147238672841,53.46308673770922,51.80670422666049,51.1826255046707,51.83530987856346,51.53466240335215,57.02631948647858,53.995916626312756,54.73548689773732,59.13701321506396,58.303568817566926,60.112388922720164,58.88774717801411,62.81994667185176,62.12801743611858,57.47234846615347,60.72400856960549,63.66419768335871,62.92226010749522,65.25025563737117,60.76508277615298,65.7187327416901,68.50766726828519,64.53172650434304,63.46611767522363,68.25202725767778,68.63762805197852,63.980690941434894,65.06403395949887,62.95421637576601,64.29161562935275,62.25063770160984,58.778165150044494,55.21360045920719,52.36582883136016,48.93565885024844,46.6776125861103,45.221645888234214,46.641172221531185,49.39946468290424,53.153442341179414,53.113502540923534,59.58420443387548,58.8259344689492,61.514709697374165,60.80882542364101,62.231204293830025,60.55805828762154,59.97884652929701,57.73590217451537,58.312934985612465,55.27980897534693,54.128985834878314,55.956090147239486,56.519468615630245,55.88801732577356,58.47990779700095,55.73428191003171,57.82848503297448,54.217925025776765,52.14924473128109,47.55342487069177,46.94216981245325,42.7894260540906,46.083347089280785,43.57883107630379,44.5182320161688,47.5980510973428,46.61547792785281,49.19735771471497,47.100971933938,50.297626933986,45.5421915227178,47.46307443020861,46.06684814372077,41.68003022636169,42.13386988827532,37.52772744196931,38.893273238388986,35.617772396593416,36.62709366152177,36.97792830594217,37.08317713669216,40.32992351525863,40.52090522638358,44.48935652926492,42.8746590242086,39.6192991594111,36.931037526904525,34.54515701929121,33.19208260511431,31.437460540410353,33.87371673423578,32.56342212759588,36.57200238822734,38.696856307284946,43.68514926699973,42.2734612398471,46.562718468460226,47.74685335113256,49.115421613407136,45.12335676568605,41.564313524028414,38.285913711823994,37.93849630835685,36.71871492158972,40.07545295609579,41.00633855528187,45.829217156787884,45.54406602834668,43.60320845362819,46.930705457092785,45.51492076121715,42.48022408813691,41.635355099554175,41.08405928820279,37.86900711377565,38.620788981021285,37.092847024843465,40.368830485667246,38.14832080681114,40.721583759352555,42.55945998652894,41.555820035479904,42.55586207950938,43.836321091224484,43.80001517230179,43.95289747891016,47.01148762556119,45.282517157096954,49.824230965389646,49.38975869719807,46.378296376578895,48.158585940021176,48.724062607367905,45.45453759430873,42.76814047147931,43.72576488931935,42.958350748604445,46.96647759907839,48.84336538870305,49.92726522730007,50.52130695225015,49.082288537881816,54.04893014258667,54.04123856726696,54.60777146596074,53.730042845190994,49.05627840243298,52.92809477680637,55.05689010262658,52.55251887263479,55.94496274772782,54.913705327546744,59.42696099909855,57.549418713572585,57.848055934877884,57.249893228692784,54.561275787494544,52.90893215643724,50.28234418452263,50.26211301494059,49.5550263406747,44.70238859389146,45.37395375908246,41.757340132609755,41.434266922654096,41.96910809230486,40.91654469593066,37.89432172465563,36.77606589429119,38.18805591787734,34.686254703614956,31.080914044339153,33.36438152152394,34.682047118593495,28.938222862702396,28.147368110824335,29.778876289187586,27.73741123699728,23.869254385561618,25.342242211847132,26.424971285561995,30.275353592519732,31.22265249800783,33.35363565820947,35.30728477041098,40.271173148755956,41.90569555157244,46.12336279781308,48.2745658566507,47.63475009045933,50.761587092760635,49.62644602923437,53.66664366627383,51.4956131388629,46.50508961692849,50.3249800660349,52.913666694952774,48.55236997859249,47.62355783035735,51.48883731868978,50.06504639432998,45.6118867275507,46.90952051860413,43.13974302040027,46.810711304232534,48.91921252687429,46.94686117134543,49.46851697311253,50.629897524465065,49.18768163226214,45.58813794512327,45.41902850740826,46.12404362035637,42.522408817142086,40.05110498518254,40.676851231595165,38.611835783237375,35.44916262670422,38.49162901386383,37.83197465339763,33.06074463629182,33.91759434543908,37.250927499491596,37.19678935993441,41.142063605841855,42.07565835112602,45.25261477351466,41.86564908304308,37.920938568713844,42.69355988632199,42.46627790380961,38.88913761513544,39.6897318539603,44.621424255828295,41.58445667816115,37.591892609387834,41.63194007679289,44.65591319679074,40.98980974176039,37.971814283501864,33.52988343550416,35.44276792150126,30.868978569210782,30.17253975588479,26.68001473752323,28.63583848721364,25.44029849959786,24.059132508721717,27.513257822152926,30.04984392165768,32.671580467376664,34.49608897719886,33.20660893266169,37.19723162925672,34.42022346879272,32.22328634359561,36.357962693849096,36.645147108700364,36.93263250074772,32.93395212557534,31.145695316515866,32.31566763977132,31.186459508378913,26.42748326174028,27.504729113278216,28.4803897661533,28.884494655167863,28.79757516461561,27.863270143374095],[16.11641682951951,17.859855833059363,22.347854580467846,19.979598352107605,25.97273867918683,24.160594584974707,27.094351545825216,30.021913501162842,28.532912974742523,31.019286408456974,32.70790231873222,34.84096134275519,36.36922252973296,34.03273690476894,38.596031812310436,40.688849221311585,39.77379268709299,43.93970664935503,46.005723565041116,48.868129353305875,51.96744028103346,55.982904772534745,55.93306898652561,55.11546216757219,52.04966691308772,48.38875145982755,47.10898945082774,43.43682575886941,44.2692074119534,43.72484349371771,45.96004490177682,45.577826875864375,48.45422615489387,52.43618220164146,50.747482798725116,49.27579840887549,48.469765330200005,49.42883847856907,49.23115579379694,54.70319918785974,51.94597062633116,52.659074783991294,57.051753530316326,56.39510437681961,58.40175388140857,57.34566977529826,61.26789787792976,60.344096325232,55.740560030386675,59.03656035698461,61.76616645510103,60.88295057918472,63.13224174810047,58.56019307226594,63.38470364033891,66.31903030098385,62.433511274857075,61.15188786115101,65.93901468725073,66.5507752253466,61.88751678440037,62.872558314288,60.656852386455874,62.23291972508436,60.2384019257745,56.608882247038785,53.22555761001016,50.19607961408416,46.99131953110234,44.55926122280938,43.306977698755006,44.86757531842817,47.38132528747463,51.21534600460694,50.88249330504507,57.3276817139239,56.50452096403773,59.03480300436819,58.30742819845483,59.78640509220086,57.933724933308156,57.41586051396981,54.979723636043325,55.67771996742536,52.78706684187075,51.532823930308766,53.48915569605644,53.81665025697852,53.41560693506422,55.83816556708396,53.22747546843566,55.392699803949654,51.712630798283165,49.48855349485504,44.88413974080663,44.2903832838135,40.142903719253674,43.185368031352645,40.560307173672776,41.26967735115353,44.50927215919439,43.38108197588861,46.155387676071626,43.986742284227404,47.34661768816996,42.58631655768984,44.48670682484905,43.25686218265316,38.83172610520072,39.12108310101003,34.555698851757526,36.07670711708446,32.77075921161676,34.07640990664078,34.51745618036245,34.91560418194581,38.228999477692554,38.73119239347247,42.75513828091668,40.83758261241655,37.703690816775904,34.82685513369884,32.64994046567003,31.030051318296927,28.97492397483659,31.506637686887558,29.844324358284535,33.9784928077426,36.05129701607009,40.999894961426996,39.826958922458815,44.045506193749404,45.39899249345386,46.52465574578568,42.778720842688806,39.18835903219261,36.13064196550514,35.864594912020515,34.82508504035204,38.09435278168559,39.43358442318084,44.27378659633078,43.75045604546451,41.6270284138499,44.83254929304962,43.18288424670738,40.154883406309025,39.03748962789266,38.30927408444026,34.948526022214786,35.49022630534507,33.843024733921766,36.97702620964829,34.668295167230575,37.36111581444106,39.264201113054824,38.421860607729144,39.39713912487141,40.873358849761814,40.87388223859356,41.34410230332644,44.47033458001222,43.05489373338885,47.50325499162598,47.222935715092206,44.537597442109366,46.21889027583263,47.065388859618395,43.744588917454564,41.00972834948005,41.73252371315808,40.85881103310674,44.650167362569356,46.358856563905555,47.301134286009464,47.69581248981892,46.256330857659705,51.11864061185299,51.31774106571299,51.82282214275878,51.189611454485245,46.36141934661504,50.390945116147286,52.663003910729714,50.24038110713533,53.695684371573755,52.70961123452846,57.29864627673329,55.73167644089235,55.92720993297609,55.414500354128556,52.54718888515119,50.93410572568116,48.224771601485934,48.139497256798585,47.43110853087488,42.519673819467606,43.04620304177859,39.40955993263622,38.79604607878003,39.33516283696263,38.02445743683977,35.06558502936244,34.18776149580737,35.42317268014328,31.746671076305653,28.506110226928264,30.769499577879955,31.739373274377794,26.007759859227317,25.480187746132152,27.03225650446114,24.673788280805667,21.011285569084436,22.86294611906228,24.1465349497698,27.90952008182244,29.42247477235198,31.17038937612906,33.037302509650445,38.132481663344755,39.656064623527506,43.947119506079886,45.87554346709416,45.14710801421408,48.15920807091133,46.88517913595273,51.072147590312504,49.07304853257911,44.045284693182275,47.78470978726675,50.6157704153721,46.37268445707239,45.328732689547685,49.242191068147406,48.1152250414795,43.66100800269939,44.80339100451789,40.85385581515964,44.22708013759309,46.279489735132294,44.17144730564551,46.51296226874674,47.57188952339797,46.03440530480466,42.575172958068585,42.34474613539797,42.87350422996647,39.2931930179913,36.942588619075565,37.43165303477313,35.27185226583732,32.24260222091424,35.383504444553225,34.60342366322019,29.781565979732253,30.899423925258724,34.31299606034696,34.38328287670858,38.29427215401901,39.17271850930194,42.50785138972566,39.26292752687575,35.27315465678655,40.10122921726514,40.10919845104837,36.58340434114465,37.366107386853436,42.454513739520316,39.67619095017375,35.64312272535377,39.65002412781154,42.8772230488436,39.44825494103115,36.41184125732248,31.906752006743062,34.27748073356003,29.780071781827203,28.81885575479807,25.0949307357362,26.55180262026957,23.031573590738272,22.222187556351255,25.684754371747527,28.536091791982376,30.925543074891447,32.377856650412824,30.84019752920756,34.68021221250431,31.830087818722845,29.379624004176744,33.266719463043536,33.4422829683249,33.60389469152074,29.76077431970816,27.915355331473176,28.887299479084664,27.81445035209639,23.128813462776364,24.147559785025486,24.981666838045022,25.461947258834435,25.50641679810979,24.74451501875267],[18.21383847151023,20.785532368511998,25.62426047696044,23.785374382021438,29.724365332585048,26.750388183013147,29.618378971997593,31.86331192509415,30.025974325705306,32.829808246761864,33.95056925205534,35.71290798108585,38.06505836620537,35.71602480230239,39.836870651818266,42.13499238068004,41.834722066886115,45.919781846760564,48.318833646581844,51.28908151971061,54.501453675643916,58.635469261235,58.770335855717505,58.24960178973437,55.15238037843769,51.315200224807974,50.04902232892678,46.16884687586151,46.533974853946475,45.64670396395607,47.249469997344484,46.874022801307284,49.305432906566466,53.44164963676816,52.19178460789568,51.096454026651394,50.3683957461284,51.89055360113328,52.067270110092686,57.71308071495166,55.219321420354845,55.51281706577876,59.95189407220059,59.64033755139512,61.74913059512233,60.969926880035544,64.91593979695408,63.82913152160869,59.42192667683299,62.957833077955854,65.3945403456832,64.46236113293989,66.42580187634258,61.71514391207334,66.34248474085268,69.28954681326466,65.40654318260368,63.76906647588976,68.48555840790911,69.35322155824855,64.4931110011325,65.05577796799047,62.54798015079102,64.25924585289086,62.585904069494624,58.86044642781651,55.32193225720296,52.05464681725978,48.87190480707259,46.05196348793346,44.921190666715354,46.18334595038092,48.59103536607108,52.748425569601004,52.26903724204789,58.58247834663578,58.17623736528971,60.39193687663136,60.013973077327826,61.868000373855054,59.964936168947276,59.87387003375436,57.25377595907013,58.39582054573959,55.6799957724314,54.02611052425862,55.8840791051401,55.73264821892606,55.346739286225905,57.18741153398566,54.51729512794489,56.335008033983144,52.50565571211924,50.125853974905255,45.69207061471812,44.64691177053522,40.7231298130159,43.82370762223989,41.27150767629246,41.605242251733934,45.54112943814189,44.6164948075729,47.83885024776613,45.93909625787821,49.87626595684491,45.23161317941754,47.21694344275289,46.41870272500798,41.970224485136995,41.807161224356356,37.36177949010516,38.97521399446453,35.395192371869136,37.12655551392618,37.17804726565019,38.01983252258705,41.089810407670846,42.007656585673466,45.565677293602384,43.22690760699863,40.20876197525717,37.28432978726966,35.75435141888413,34.11708857786028,31.919606010256498,34.99175438415884,33.12007837093708,37.43392520923755,39.536829348442865,44.333407546615014,43.682969076503554,47.772457093383494,49.33326375926718,50.000769883101555,46.63605342514506,42.91380489941727,40.339344023037086,39.931158862055575,38.87792019624964,41.881366424495916,43.41560500205429,48.15976742533602,47.203640985136246,45.05732433320513,48.0945441682489,45.99902471880769,43.120411953757014,41.61032162905107,40.83726655924732,37.10608685072648,37.4454133229384,35.094694576122144,37.87793507043944,34.71641338149595,37.55366599253983,40.0305840579257,39.654592805771834,41.01781439171578,42.70531096989533,43.2840525114725,44.33275088144778,47.232140964323534,46.435474871100716,50.728456865470925,50.91773603726234,48.67871954602977,50.44604687166595,51.628594900233004,48.37227424490559,45.48627199160346,45.9829637393243,44.81277533988009,48.25671726944685,49.62230854981799,50.180358088115185,50.22229928410674,48.46531261068405,53.20843546853317,53.90213418644525,54.48044342891239,54.36212224584655,49.43237108355196,53.828571820173636,56.34253093572135,53.978237365596335,57.29891454371182,56.154046826030644,60.895037242161145,59.69610876869947,59.994191537217866,59.70375050039645,56.65407484681788,55.23828310965317,52.49715606768766,52.39185220750203,51.73197295095257,46.774977262191896,47.09670552606527,43.43662086347936,42.363742226227316,42.79333157274978,41.00399399382628,38.285499761321546,37.7740304868656,38.50598079314301,34.62202778785549,32.19746841323182,34.1176213095272,34.209254620449,28.849721693070595,28.64820566701407,29.60794922091669,26.784429176836753,23.851030355973172,25.74489651272019,27.652870570391414,30.580878348772234,33.3091479346081,34.70060800872798,36.06255322738796,41.30511405536144,42.22601364329367,46.97685745177582,48.63324478005248,48.09416503749826,51.022702728630364,49.74797012371947,54.174554852326466,52.33320390114041,47.50458300004224,51.190614988875886,54.3084082599955,50.27689398178342,49.22405581342409,53.238127777289776,52.414139869450175,47.99688950552299,49.10561956014966,44.8798681691295,47.814708442710334,49.683268685746974,47.21424523001373,49.17676017866441,49.79886949626377,48.19977050743566,45.169001435522524,44.50446566246987,44.58536759507173,41.29817343608453,39.16140012450426,38.98790067111128,36.58947881595558,34.08152186481386,37.032846144687866,35.666511544462544,30.91826727795442,32.54562842388574,35.79493866333726,36.44571127890053,40.39779209041496,41.54005379882646,45.05038375056509,41.79880023518304,38.17437830731864,43.17669503225979,43.326891428056385,39.9319093652303,41.043758384121105,46.13433655088724,43.51635347949695,39.747893016245406,43.84852779353551,47.06722429329057,43.80576469237381,40.94116637331178,36.5102917702329,39.090996982006686,34.771902918466324,33.29302281600277,29.753775712087073,30.7361941913384,27.013125181829214,26.953740279428516,30.419198898320193,33.4895082552538,35.71500426204147,36.688586875181215,34.952540004833466,38.51279607456318,35.539292598276006,32.67893650484752,35.8976891267007,35.69555889926218,35.429385670468484,32.19329873746656,30.17295169023743,30.33396264426996,29.47538202558856,25.32691552258635,25.883099221274243,25.735694542249504,26.05027054481405,26.178954487177904,25.532006037643967],[17.877669599391453,20.727570285300413,25.516243878429087,23.877632946553586,29.5574551457913,25.62971612905241,28.291584424959773,29.980347999578854,27.884533251750245,30.87996618901348,31.598125124160216,33.05054857393524,35.944467561610615,33.69407724141746,37.45020943608045,39.820321402347474,39.99198788587657,44.02430823569206,46.74905041196553,49.68935426266293,53.030412741399374,57.1903910740046,57.52966476807303,57.296291125759005,54.12292617246251,50.19684896413664,48.85610091353813,44.820404197252294,44.78402711424229,43.60722023870025,44.81410005260723,44.37551640297845,46.50600709733488,50.733526751773645,49.76494584412912,48.96435320465542,48.255751956143776,50.2181269822906,50.68955818478572,56.423087240672906,54.21208826083297,54.18629550433321,58.623347136120266,58.626087424430864,60.87257543916059,60.37734563588197,64.31050754851285,63.01125695886711,58.80742888442851,62.52799303607486,64.64877039067312,63.64598289236319,65.34639421208603,60.53318240482599,64.96191151926381,67.928887789948,64.0933730294758,62.14890764397345,66.79054331435331,67.90190244932897,62.92991942256543,63.17716135406175,60.459941886537905,62.34508895689152,60.89908615488084,57.070403678346985,53.541296059958626,50.07229191128664,47.04128236585423,43.93569824869324,42.99655370129126,44.16052420553414,46.34207967498238,50.685142919648825,49.97881224659123,56.16075901393323,55.97124736304464,57.92733126700332,57.756213616539696,59.85659703757197,57.890144067503925,58.11451222458091,55.36524437701521,56.852449135104386,54.29424373152221,52.328614072727284,54.119504567636994,53.594561128463255,53.27077404986351,54.68592421581163,52.03983788133451,53.67481410952412,49.76014189221896,47.25312266087011,42.94925264188179,41.66834408296205,37.91055195712458,40.93788673542637,38.437323845908125,38.54929638843395,42.87085834991672,42.139605046744265,45.60257719787555,43.977180343616325,48.33666915634848,43.85761933296561,46.00301853063132,45.596157195548685,41.2155917582798,40.61109343055132,36.27628873089841,37.816109300746646,34.026568517792086,36.062581359000646,35.81101720573235,37.04351203101507,39.91133493596255,41.232275868095215,44.453368053158194,41.72886861375175,38.8844413602756,35.891943802386116,34.91968560397706,33.20357920375302,30.872471173804954,34.34679318101982,32.39539541098867,36.78346896159864,38.96511897841402,43.55884923154288,43.4625736537466,47.44835214540617,49.087116939294184,49.3011398964942,46.26688067182565,42.416874460705316,40.386697927156085,39.77516511338341,38.7318475969224,41.441261873951845,43.23827191972688,47.85881499144837,46.48989849772401,44.28717002163652,47.12597389765826,44.65678788984522,41.925949350547,40.09192695678042,39.295509741734925,35.330522959128324,35.5763138733822,32.73844981661145,35.32625655154123,31.680749775618388,34.49030293452253,37.28497162520878,37.18589682333566,38.83789783397452,40.61269969439624,41.65583064604581,43.130974250593106,45.804747714920396,45.55441702801052,49.66651578037792,50.28429430545605,48.51468555762367,50.35949433116255,51.90648260568238,48.766190621289255,45.7127047590096,45.96806736560311,44.487655124047514,47.566965520779405,48.60983992206295,48.83039723761018,48.60362710679704,46.59334115555101,51.22605933357898,52.28350893140939,52.94021942150074,53.24202503510647,48.30161774202623,53.0049045704624,55.72005711976997,53.3946477543737,56.536281695024925,55.250352049951196,60.10576979622312,59.28698648602091,59.671233643258084,59.621929807546486,56.40065629396506,55.23533222038708,52.510443980461424,52.44902624333301,51.94503566659441,46.97945494644157,47.22854562425212,43.691145582113386,42.15187736126202,42.74763645713965,40.50951311276829,37.879393798276816,37.91926781365458,38.412743917534634,34.252692067487416,32.522797036602746,34.46296589984312,33.93199714501147,28.759710798434497,29.083587952982324,29.86474302840684,26.512605517508643,24.17929189516469,26.605536169264415,28.744719264209053,31.400115728815326,34.84674325674238,35.70245477289728,36.90223895317579,42.22895259381257,42.92709201192908,47.75261938706679,49.04533083562095,48.3758962593459,51.06608403573587,49.53278057326875,54.16105852700982,52.64794807882549,47.781835216855626,51.250322121842686,54.73467223114416,50.91652726727991,49.64369405991356,53.63172346835421,53.28175093312682,48.910435897280365,49.644655760109416,45.312183960641924,47.669560066214,49.50131583746681,46.9058447544326,48.470290905958066,48.921804449516095,47.05981347853709,44.38782184856291,43.68967382241615,43.317738656503735,40.08995343702302,38.36033424436447,37.85935822932933,35.23437207027646,33.18558048322514,36.28519833275605,34.58355054942468,29.85601302023724,32.09447262634071,35.37733596041611,36.333590593778,40.14428912621996,41.169331192805075,44.92684497931588,41.97998505685441,38.360682893300456,43.34499299024183,43.89059853012734,40.636215911932055,41.64986512553198,46.913726642230586,44.707136863330334,40.90763423008186,44.845265478508644,48.33466134555478,45.41545631004352,42.53338939088088,38.08034116173705,41.13706539077566,36.93140540628881,35.307461619461286,31.545770766152845,31.90891363613167,27.82886506751507,28.442271107416936,31.76142113964144,35.11947275578457,36.971068174682145,37.53022544539953,35.31025800947081,38.52565201692427,35.300030728248096,32.29362345017175,34.925375863100456,34.6161888202597,33.846509020377916,31.05004726072867,29.222957319144193,28.77048663202465,27.75355648911326,24.26837602630246,24.833478148112107,24.100164391960508,24.514648095256025,24.92631021274583,24.582561820936846],[19.595566730142693,22.747885244870496,27.808126571485538,26.93969490443456,32.82610298960537,29.469410025769175,32.59902482206627,34.33194874147824,32.79429179855511,36.06908711846912,37.00565914989225,38.248502947925516,41.155032941603025,39.18270029702873,43.02177061503893,45.23689649304431,45.37352454005937,49.547778971741366,52.31858523091883,55.119392824881416,58.51860504140723,62.59644899553428,62.929668417411214,62.596654909157444,59.36029770485574,55.53755798793267,54.05454017671553,50.04958024976084,50.089269513924364,48.81585305946277,50.36418482365206,49.604115550471796,51.804111937720194,56.148592666617766,55.065756200307476,54.32787261703329,53.34664602713413,55.36402859731519,55.683252477725055,61.2309314359156,59.10804951425455,59.38957469616986,63.782593232971884,63.673591764607544,65.98407824821508,65.36025374756909,69.27236924645572,67.95522634340921,63.604004940771,67.1105745497369,69.34792893120702,68.21776846565413,70.12571336028023,65.35065235069956,69.77086032237564,72.91536414840961,69.18237861799514,67.26958213757717,71.95443287887048,73.12403425598706,68.27546228727638,68.66702231102745,65.99479611168677,67.9914226059659,66.43585572315752,62.54709499956558,59.19289487034423,55.71620312814786,52.78484816442089,49.722170593542124,48.82350045430253,50.08786297248159,52.23107318758911,56.532670276474455,55.73251337679422,61.922214133785616,61.573253807267804,63.494109898496674,63.18149840106507,65.16538145307818,63.00359740458252,63.02827088047613,60.08176226215957,61.39067704653943,58.94851033731349,57.17854120509535,59.22727605347111,58.67234374493975,58.6365137268408,60.097474484902285,57.61438765339231,59.38279902819151,55.448657876461155,52.8355338795002,48.511582204532026,47.31331806519227,43.55411851798983,46.26985722361302,43.57926013807915,43.28488619199545,47.736289282528894,46.492909688419985,50.18705324685939,48.08210227947358,52.22983880530466,47.5791718006552,49.271866706144635,48.67006421782226,44.166282829197606,43.90836425845846,39.71109378425665,41.79092696167687,38.34899251834677,40.53937092143437,40.7828570514878,41.976424212244595,45.08430473079563,46.31119849090013,49.863445667811895,47.2171376352354,44.36564740643292,41.29544957866321,40.03958604864951,38.151772759023096,35.62283684209437,38.64602342583428,36.153057797061045,40.534114002320024,42.33335718488976,47.03382099850189,46.48930324903784,50.33360072084077,52.27297015078473,52.733342127906724,49.798218970715745,46.21822423593107,43.73856714953424,43.686029024086054,42.94932640807116,45.891031726972045,47.831309131556644,52.57172163973863,51.44199871616327,49.1151941607135,51.98876253249178,49.64255127051452,46.802097030746374,44.92583356239463,43.84241822808679,39.92819500413196,39.73793210214623,37.14506339789546,39.33459839143464,35.71109798587489,38.960601947762946,41.7540029187593,41.89216723804461,43.18521456272821,45.32259176036216,45.90496644926268,47.50393205457087,50.53884274919344,50.14507920551254,54.275373296725164,54.557659076732406,52.646925870592646,54.15605161242462,55.53309762949648,52.13571117653046,49.3804830960735,49.6252368427499,48.5102221939377,51.68858013925937,52.85971581424306,53.25519143957694,52.94443203211327,51.26936385113751,55.72042981116475,56.79534676613674,57.196628188119824,57.4537163151535,52.254362493809694,56.736058050433165,59.39341658545,57.2380462667064,60.75577533253363,59.77387090998519,64.54767107749964,63.68550313380121,63.76199237571794,63.45876969943187,60.241144758033215,58.71004224913969,55.809946128056644,55.48759991559217,54.606696881600875,49.651591888448294,49.58152239607681,45.75201869349128,44.48259987493728,44.43502509928284,42.44733942599345,40.14471538291646,39.54183796006539,39.67944228487758,35.937566068731506,34.13298333369036,35.38085366961282,34.79091355846884,30.049186448312504,29.790915113630554,30.029415831134184,27.228444055703026,24.93557991564041,26.301282727422702,28.761466524799335,30.651597614966196,34.40892800831067,35.62809288475077,36.37752571432488,41.62485314658164,41.910203786887266,47.09652483994274,48.61501544815854,48.45334584622522,51.4254333620082,50.433870305106964,54.944614624449244,53.05195609605467,48.66392447055532,52.427752903583716,55.57490847175429,51.750890323109545,50.93998604597462,55.11327891911453,54.321111751526495,49.98130369624796,51.4745502524464,46.90582496603566,49.726422767971684,51.249698994296985,48.35144242739528,50.141465046745786,50.24654011563464,48.939205357147124,46.21432216850187,44.894997579174394,44.8462626202017,42.05535501574245,39.78279970030653,38.99887177378727,36.61077150846563,34.42792809238415,36.81999810381182,35.04464310593798,30.58755120947202,32.214606382644945,35.088984386191534,36.215198342753744,40.22496009075652,41.82273737142099,45.2557200476021,41.80099409675132,38.785467642071836,43.92939912409556,43.93052833480261,40.68677588221591,42.35621993199216,47.18839947959822,44.53311318202583,41.26618840724311,45.57848875022757,48.497052699344664,45.30372926596975,42.77679719865922,38.57928534951441,41.127795563298676,37.12276976775054,34.94873456006094,31.931497935971123,32.63692130908246,29.121922730652077,29.641288746865804,33.1223231499997,36.21280009400529,38.45910703858187,38.95279167305976,37.5580572056039,40.95089779382458,38.32066623723124,34.919639399235436,37.65045692907188,36.903331889058705,36.74428108938648,34.0656305276797,31.47939054669627,31.171689865717354,31.111091683523927,27.08560332215599,26.752882155332355,25.878093311391,25.774144394697146,25.751896846196697,24.96323338260994],[15.158227552829112,18.679006047794033,23.753937328095407,24.009635799382085,29.65434302018857,26.226339856375787,29.74025979603178,31.136259108824852,30.355448837689554,34.15530737294838,35.3120514087252,36.034808389910474,39.082053383278975,37.812801043929596,41.59599484228671,43.44126757325241,43.781127790100136,48.20820823919044,51.403560567332846,53.74558846298018,57.42010182004109,61.25144017378876,61.852492895251714,61.653242694333386,58.15151155299755,54.50852862013382,52.57370820001906,48.50319317419981,48.333279645633176,46.67553308112523,48.777282853087506,47.31612322172947,49.60379899811946,54.15298860706329,52.8830690268871,52.40027558324316,50.90034275535654,53.2737243905409,53.54280816467719,58.773760497832754,57.13979373913966,57.70837570271411,61.976441639765596,61.97852910722155,64.58782900002154,64.07494545263943,67.89259761169706,66.26074259737037,61.90240261557094,65.21228628307655,67.22563031637844,65.82403377904856,67.79651449254833,63.003943103753265,67.21011958326527,70.6831903414299,67.20921100494117,65.09570883063958,69.78345188976873,71.26782764436321,66.61710928104398,67.0872141411406,64.40262166640436,66.81279079818563,65.16326620965117,61.049828689066196,58.2372253206261,54.58005636199206,52.15459523774658,49.011967327148305,48.473122558754255,50.13111984185468,51.82662693653243,56.04768162120721,54.73569725802324,60.854445283765905,60.12488209863179,61.83757214083603,61.25958200234174,63.099851078515904,60.53611325815131,60.3840139133903,57.0728577642681,58.31588352441373,56.17706937848733,54.51484896199386,56.96160551879407,56.14013545483549,56.70490794794404,58.088114284167894,56.01343810303237,58.112116771641496,54.14799125837939,51.27463007837812,46.92407211120585,46.001021818349926,42.236240619241016,44.20169656178081,41.181277788783966,40.29931932847426,44.83142743066676,42.918859699398716,46.92290614065938,44.3145288615496,48.366305840103216,43.65855073213905,44.94787949049931,44.412840976236964,39.88268732953239,39.676584450539266,35.759784020752925,38.40530597551367,35.34597410081518,37.990798962012164,38.81309859137045,40.3298574405376,43.66921848609003,45.20474430614816,49.11615715461286,46.20474195860759,43.60064580612514,40.27138530604526,39.05445632061216,36.68933527772767,33.66705420739395,36.28140077784367,32.95756264835272,37.316650698293486,38.68486901181179,43.26735740469646,42.731316946783544,46.28017324822186,48.611077708786745,48.92260532245235,46.456144513068466,43.14485566946118,40.71657581389955,41.210370323452395,41.010734821459806,43.92014526039363,46.514450442545694,51.25541000922063,50.04887128788021,47.401119617306136,50.06631959590597,47.58893683367922,44.721782898960136,42.50308697627734,40.94933949830138,37.02536015064904,36.193466132796836,33.79271106299946,35.46136496857921,32.00148399407513,35.69322294472785,38.37930016366239,38.85285844693919,39.70744952515383,42.34838403829959,42.50632599134783,44.55901840035491,47.944438990059425,47.830395414252756,51.75767205715959,51.93387861291787,50.40243629613286,51.46383287960405,53.07291033848339,49.49339302884296,46.970806047447134,46.86760124031661,45.92624501611128,48.80535884741403,49.83909561501543,50.207338821568975,49.596957668990946,48.27845279710869,52.37766332370564,53.657103601178235,53.74937612353093,54.23933200016491,48.73266865717453,53.14492465707102,55.89244608940219,54.01194821986821,57.857357754964504,57.21968373465801,61.92286434059972,61.467874194549985,61.140664282650924,60.75307777477055,57.35054462119853,55.623377264083885,52.545216248808174,51.94994955961974,50.83516821650889,45.92367701552599,45.447308288459055,41.507624882974575,40.048844294328944,39.6082417300145,37.482495435943726,35.540518466667315,34.88679753086242,34.559720948176476,30.949044963129733,29.724343295833943,30.44831758600032,29.332594227090173,25.081645961815237,24.889678523822486,24.64363507929168,21.793476687467592,20.080373467123614,21.294574782225954,24.134511436168587,25.345295972413968,29.9776198359794,30.752831578014266,31.128502368386762,36.38434556603654,36.34640697039614,41.68887234062166,42.99404173798191,42.921280987989974,45.832326215636925,44.93568122020313,49.50649874968688,47.67312788583358,43.53015339663455,47.280951513303016,50.518886770601476,46.9050088442628,46.19694143669539,50.4562433343767,49.83831879000218,45.608793766438524,47.27300837605588,42.436468218552506,45.06607501435117,46.30974219436375,43.12493329133827,44.801841401768485,44.620800610438344,43.531605255965914,40.95857503214946,39.25641232669839,39.21266232793497,36.71973372390682,34.306198414106795,33.24007067427035,30.923988732889452,28.846563797391905,30.937656124950344,29.04046632711811,24.724388823097716,26.3258423425077,29.071717727992485,30.399423386496395,34.384336774625815,36.148155475534224,39.5660388648442,36.1242994163158,33.39016814865762,38.57133067678958,38.62513719557826,35.5326242600524,37.46080193279381,42.1782019484189,39.73277593611565,36.75464642012198,41.08796397126432,43.94122782070386,41.03036899732914,38.7150121884918,34.712033374189716,37.5676590339498,33.93066312550925,31.198945888524612,28.406587764241294,28.511048029428284,25.094292826957098,26.41241689963051,29.74839759864675,32.95683424612314,34.99641778875786,34.88223021278755,33.71318767003973,36.86317815684166,34.653237330055646,30.752991576878923,33.08736470904382,31.918597328361173,32.03959324101708,29.741547952069446,26.62895776853324,26.166385271108293,26.90752515949561,22.808256865485856,21.70178851811954,20.567398851168882,20.329835653819334,20.330934867124192,19.756619649430455],[17.295824847025017,20.388519384031525,25.46010199922616,25.18317602660251,31.097558652915485,28.49200094625238,32.021807581098244,33.984972571895426,33.1122445167473,36.571687977290054,37.954457186874095,39.11740584316812,41.69880228394562,40.09185069908222,44.18584091205612,46.116379182381046,46.01686435648476,50.40268598536854,53.20168026659712,55.72806205069626,59.21191577608289,63.106724399434206,63.458257312526804,62.983866241717735,59.628706782902384,55.99431686252734,54.26929834461876,50.34121525701215,50.56002996522686,49.264889472952106,51.48252631961029,50.32384968342898,52.82245027122195,57.23225725900531,55.80382687249432,54.99478562201095,53.66187216497961,55.559190863353834,55.609069718830945,60.87546322790774,58.850187239972705,59.58029966797381,63.89434937983637,63.60454706851575,66.00119780300423,65.22044334982066,69.07742140544943,67.72450091531583,63.203742934936166,66.42076368466503,68.76945928121363,67.51438793478718,69.68429140428775,64.98128062601201,69.42510605832102,72.77034877034254,69.17173463326186,67.37732147166903,72.12472084786856,73.30356607211758,68.6750428599554,69.37588473211949,66.85979259131054,68.99235168848365,67.19065768647202,63.232650424830645,60.225636788892096,56.78326177728687,54.05898696153772,51.15707728170879,50.344288925588536,51.94114254626692,53.97332693094433,58.09008840824173,57.13081820658359,63.39000148413126,62.62041473259949,64.61524399584243,63.963392407984045,65.65642367827954,63.28120557756715,62.93391685170172,59.85376301835966,60.836718962096946,58.46304858191759,57.018949601465366,59.384448268257856,58.956838897272206,59.261765135803536,61.013362647260166,58.77184060196081,60.901807689100835,57.007021971861676,54.31983545323319,49.8651936432197,49.02032880113276,45.115114032251384,47.4268209223205,44.484404735374284,44.0061968799014,48.20185143488342,46.38384343779513,50.07602073536999,47.42631643483717,51.15694198480671,46.336162907172856,47.62583569410679,46.73129925313362,42.16257579228733,42.31990576407507,38.221124398212574,40.72660864684709,37.70726090397222,39.945882612474506,40.80595012778856,41.90558668264595,45.32523785149988,46.44196917973694,50.49921071026651,47.973326605384955,45.14600006455985,41.954329236767755,40.296632014153396,38.15314733657261,35.40472980828321,37.838795934027786,34.867993487422225,39.16027124575739,40.601069613839265,45.38695432326149,44.370143260554975,48.09514685746721,50.23247385847148,50.98267872528105,48.08688283078553,44.8037035742868,41.900837371303844,42.39549151180147,42.01752670721478,45.17448338834262,47.34278300643087,52.17960600215472,51.331531970641045,48.8350352690488,51.72876991374467,49.59533194771735,46.61847245560152,44.77671884587027,43.407555671664134,39.675003589097635,39.156548414886664,37.077198792702674,39.112859788705485,35.98400704988796,39.51646123174676,41.98843276055632,42.108209683370866,42.895717591562,45.278805368822184,45.21390481211418,46.75800480997786,50.20519953544963,49.55317971744154,53.69442164119369,53.55170268117766,51.509690424454284,52.64352530597447,53.867451050992116,50.24758644936,47.80330535347599,48.012834254216344,47.28010063670539,50.55667087294043,51.903507038188124,52.55967323837568,52.273664364943336,51.0376685798979,55.35142297581934,56.259497533779474,56.393349216298375,56.45512263013744,51.06415310044878,55.2355229198362,57.77974605351856,55.780164641104946,59.6681374782425,59.03615636454228,63.66415827267436,62.76278520268606,62.49062155354202,61.92373846583747,58.72661298606323,56.847780404288734,53.81266053033147,53.26209652503234,52.080141368383146,47.17129123429938,46.8800008936769,42.86981197845954,41.89370416508946,41.421841869582494,39.75752525123173,37.629496909721794,36.48853457324525,36.52300642737239,33.14813037337817,31.106124933415323,31.95412225340119,31.5994857342418,27.050112174882415,26.32465275056191,26.38968343953908,24.115121264109508,21.645171732916406,22.317069566780898,24.815750886375035,26.452649569302636,30.11594598241613,31.56894440817753,32.19055967004672,37.34442781273414,37.60132825190394,42.831765037130445,44.554974007150555,44.599205443052796,47.75437597007638,47.08450784696599,51.43461341118531,49.27222747694983,45.11372682921576,49.06676761853905,51.92387147305246,48.05628221461627,47.53480890239289,51.78793765167771,50.67239722765556,46.375666043576466,48.34687197449868,43.69504573263122,46.90540608207475,48.2646161728076,45.28862221485346,47.361428892202895,47.42363920360003,46.508709261411425,43.57365665224364,42.03068136097409,42.39820673956973,39.762747926178875,37.040577005410086,36.37648973605042,34.26056680065984,31.741563837070263,33.77296627728778,32.251290545305395,27.916857340030873,28.913681823033485,31.63499666962216,32.59343111290344,36.7045498858992,38.528966672912546,41.696165178124346,37.959077922305184,35.16272811610442,40.333987176500926,39.97792314646864,36.71454419260405,38.67713145379835,43.238586270834396,40.32379639294194,37.32089383226867,41.80936620928284,44.40053408002941,41.0695319531169,38.73252865111329,34.71365132215821,36.99745286719701,33.168811579796674,30.682889893751685,28.102458345994993,28.989611665292678,25.920388624682346,26.370262814789243,29.877638256570773,32.76407422549798,35.21928930130492,35.66148605617232,34.8862044590005,38.41061328861856,36.30049141109787,32.701298288008246,35.67366832475519,34.75266838687428,35.21269466736985,32.40492789687028,29.333188486770094,29.473794541957915,30.027398335235965,25.43004693457126,24.623385064602335,24.128567367052074,23.861455057055547,23.572056306276426,22.62482224537388],[17.013638394124733,19.745342899531387,24.6428652998096,24.569821932228546,30.454324385639083,28.68436533743882,32.39732845667156,34.67384737443268,34.20035343935109,37.603653862055495,39.329550818797536,40.58581381968633,42.76433421288542,41.29063673290752,45.61198883932529,47.3728772697264,46.967811745820015,51.439817253936525,54.10259065218768,56.495224144989535,59.946441850883296,63.72872337695342,63.99572958956366,63.34169481607072,59.97687194471808,56.49373777916058,54.69296695822217,50.89300703869122,51.35963816294017,50.189408462302254,52.86198802705878,51.56595022035322,54.318598911989774,58.6913231090728,56.989243786262996,56.01962178470965,54.53061355410582,56.16751163617759,55.96692899786551,61.03611652839504,58.94207405534713,60.01668339891141,64.2690733849045,63.764167379257614,66.14161910606629,65.17579620804507,68.99243880939446,67.70620583196995,63.039784438516925,66.02354665539349,68.54871353469453,67.26218082640102,69.66188905955364,65.06178417225709,69.57957522691133,72.9960650372685,69.45771367744322,67.85720059733292,72.64884715472891,73.72759069259615,69.26884682743689,70.24651998839627,67.90339531492444,70.02035038219324,68.01144866261771,64.07849193857163,61.24393812964265,57.917540319886314,55.24427260811757,52.548803104823364,51.70658160882842,53.49532883745262,55.548838996870984,59.48459754348345,58.546796961490756,64.86823765025507,63.813419397829804,65.94960736975563,65.05394964819676,66.4980410206153,64.06590100788719,63.41093910638321,60.34570987049079,61.01531390896864,58.61761338635255,57.46916030885226,59.9941438808889,59.7961340750146,60.221655284998015,62.28713538488131,60.151128611473304,62.51792368480201,58.69295296242756,56.042511415562785,51.493510054486016,50.91260140427095,46.89292370831478,49.05231926909194,46.002342471545454,45.57167784888819,49.43788468234526,47.31288610813853,50.850394496527734,47.866728897921675,51.18290317059187,46.251688224016874,47.28289817468948,46.07813272512904,41.4972131717215,42.04915758190149,37.98828231205087,40.675756057289604,37.97574389168887,40.07093520490948,41.33013583126427,42.21475148896652,45.82716764131484,46.72217275940706,51.12039415610992,48.82174935266417,45.962265373798175,42.769556449381234,40.727285534474184,38.52011481510333,35.7626280765845,37.717487144630276,34.611223257851435,38.76015784255285,39.982534824768884,44.848096361477594,43.3677928903729,47.05363374271175,49.22370229273071,50.31156613503024,47.30328510724965,44.246634910096574,40.93531096924182,41.77675332244749,41.57574131597172,44.921090160847605,47.07717507301089,51.96939666433402,51.42856922619041,48.89259398687855,51.85294681631812,49.992304392087206,46.915457818209276,45.244700836553314,43.774830361777674,40.26996772570909,39.667489207288845,38.06084945738245,40.11673726320529,37.47310239844851,41.06964365840297,43.22793640203638,43.19503501392599,43.6339289936193,46.04883508033754,45.49331361556652,46.801204365132016,50.503489194571614,49.502282609182885,53.69401075785465,53.171193422816124,50.88243538423827,51.79226344950799,52.77731791029595,49.02698938019299,46.828692619125505,47.120675161162254,46.71085333904357,50.162750541950736,51.72283745957196,52.64372392377141,52.496929401476066,51.57703797070484,55.85615738909149,56.51286949826904,56.49315424455323,56.27406777766739,50.84166376462457,54.70163299228923,57.084421590151976,55.15094768805934,59.265101684172826,58.86147597148006,63.35405453174838,62.27130827602131,61.79506793101671,61.00235813384308,57.907694198618344,55.76551156299811,52.6790002069376,52.00770733196744,50.622397221999655,45.777240750184376,45.4227528860711,41.30904224752512,40.7090463635734,39.97728024662845,38.70896995836691,36.631302747690654,34.985768398578074,35.110231508527015,32.09216919941284,29.60861735785728,30.25266538809319,30.37271776662616,25.887595490146722,24.673839370037964,24.77888318434684,23.114949248756716,20.28872704326925,20.289356801799798,22.59683388314378,24.269203792337095,27.38253627824361,29.22798945045184,29.894670302631393,34.90812284260358,35.31596231886714,40.451622042004004,42.4584357949713,42.63509774767343,45.969305880500116,45.56192328572849,49.70226511253365,47.27133508009177,43.24571427392111,47.35922606758355,49.88234354288079,45.9084453289874,45.62416849537009,49.89597054987458,48.40784271552662,44.13152760531436,46.4909983988927,41.89000785983828,45.538237463567356,46.838928357801194,43.93247402111405,46.32038214039987,46.47848833035819,45.85718229367506,42.66330911980487,41.09264460336095,41.876805434863975,39.27931416597464,36.19834951827702,35.80700615918786,33.96114656727857,31.08123750898302,32.87728252222544,31.710330404664365,27.489874980342183,27.847337480854293,30.459132407428978,31.116393446605034,35.284445586997485,37.21835456195599,40.10811389795292,36.13291654813289,33.4335677818365,38.558670557388275,37.84449824345815,34.52069083876889,36.63210730540667,40.95021759317906,37.72386036145775,34.87187544829098,39.4850447973094,41.77393424390877,38.22641687198081,36.00142403724939,32.118502784902404,34.00943889008415,30.252045400907853,27.69925780595044,25.503156982579505,26.788805899293674,24.202269328499373,24.272582827007287,27.791065367169203,30.384866195778383,33.09295518974987,33.70288066450899,33.47439890106124,37.17685369695694,35.45666324654494,31.903305949867683,35.22632604487763,34.31679108626675,35.28208389445877,32.233663121263326,28.94279388643437,29.597971855386174,30.436173213160373,25.39690114255968,24.432010153459995,24.464438541469328,24.08883402312509,23.53089495537497,22.302657556934946],[15.474715531125325,17.937145340722694,22.826445220422286,21.878356920001902,27.90254943117985,26.040295687286026,29.508862192974494,32.03535653870051,31.178519251144408,34.28655295720695,36.006020585053705,37.58147734884177,39.54200918609524,37.75968438479742,42.18005195361192,44.065347636033394,43.48502368497591,47.86318103698757,50.332369236399046,52.89347573630832,56.23253146448402,60.10585143836644,60.26980214308157,59.56648583381526,56.29712961108777,52.740495725809794,51.115754708380265,47.34550188418296,47.93126170826836,46.97641554471666,49.494290912161595,48.52510430763479,51.33091498715397,55.573043154600256,53.87292230281384,52.721235840320276,51.47914623372026,52.88345623487124,52.69281720513315,57.929383855492375,55.59403743943456,56.52827798539881,60.83953479711323,60.29102733549523,62.54622512307982,61.556783181996344,65.42087946837802,64.25231418204763,59.607154305395454,62.72645662306821,65.31692269644753,64.1740706050365,66.50904483334097,61.905081634299094,66.5406494655292,69.7842923126815,66.1114303244478,64.61478706996557,69.41282625029672,70.32692070119555,65.78393788611092,66.75490824188786,64.4502050157712,66.37969240099665,64.37818606152933,60.5454612424252,57.51029349384138,54.2773775042506,51.41823593620502,48.80378792867239,47.823113951998,49.5444591216333,51.74993699927495,55.6577317737321,54.92451502240535,61.30141119072926,60.32838820334737,62.607894676910725,61.77503491100472,63.24079391162348,61.01538112978444,60.42015690277984,57.579420524557015,58.273618860426126,55.68816170546675,54.48481104974301,56.80349364259355,56.79057003823715,56.91313268421138,59.1075826601448,56.79379070728433,59.09385903107626,55.31216900655094,52.808618081270644,48.22603822424733,47.64289194944827,43.5620611654652,46.04567622511945,43.138539681531036,43.13530051468874,46.784010114501555,45.033489725813254,48.29876286676395,45.623227889611854,48.98782177928371,44.103868605933386,45.49429560042772,44.29029789749083,39.740986174660975,40.171614213319685,35.880696270323185,38.136221992694786,35.176779199136256,37.00948343241552,37.970480593331814,38.70240820021425,42.21849780143374,42.99721458226886,47.26533015940895,45.079123376174614,42.12280714598052,39.02442817270341,36.947133819909475,34.92547290826427,32.38758462379465,34.580040086637865,31.971672156048015,36.16001479957148,37.723645986235596,42.647735781744906,41.31041846995151,45.22718413176594,47.09004643561926,48.17185366389851,44.87786625201098,41.589280637328045,38.38329687388405,38.80264780044779,38.29662207582015,41.61541830492472,43.5053888121274,48.38828474853648,47.830235896798605,45.43028814388709,48.47976302004738,46.67360651568342,43.607567904868084,42.11828838693325,40.913846121102395,37.432230992090965,37.25498764739379,35.60855837650314,38.09636018171895,35.56086500509687,38.831436660522996,40.907712363802204,40.568078960379765,41.21998336568407,43.29408831648621,42.95935427085998,43.973408910465785,47.46830958126011,46.33327059306661,50.6272799784426,50.21568734012635,47.79723844281304,49.005935182474246,49.967289091645135,46.370777691133206,43.946509400343054,44.3857641968614,43.77982530925987,47.355556584816256,48.96242570917203,49.88007350465943,49.92898560877779,48.79881014137097,53.31449427551199,53.81010838090743,53.994654019517924,53.63409287736131,48.411415844963976,52.37058079413058,54.73087436506412,52.602041000757474,56.46805976628848,55.83504038364952,60.383086660724004,59.138340772812015,58.917843615238986,58.24441716266403,55.21801034641259,53.28688730178355,50.3336768703202,49.89437378339773,48.78011590398875,43.878214582155124,43.871063081339614,39.92676422010414,39.283969144313716,39.08025545209814,37.75379810004798,35.29459528207345,33.98322281786454,34.56181298465149,31.2076108842091,28.41412743195986,29.756336527643253,30.207524224244167,25.107965011340628,24.201705816874426,24.944237212290517,22.89221628748844,19.64668396322976,20.53341828122638,22.459041892256728,25.1076654063983,27.61264241059932,29.39418539437647,30.59963010863511,35.715785259497245,36.63210080558645,41.41942377657395,43.37223676062382,43.13747896285269,46.33700090046003,45.53286337951979,49.73310787322785,47.49777688419654,43.00787668349645,46.97503320861475,49.67220663297293,45.5745600813898,44.95026377804415,49.09723201188575,47.78916628744195,43.413381443902,45.25753253684502,40.87997942895064,44.403538672068514,46.02023289145173,43.42167524344665,45.782971185405934,46.31884937753803,45.28779906114794,41.97683388701025,40.964243248537514,41.6227896820118,38.58702450950996,35.80648269899971,35.779162381259404,33.766303192032126,30.80334559213146,33.22687770282061,32.20668530721984,27.653537135518324,28.39284959446478,31.412742899756385,31.824652670870964,35.91293537358755,37.387708943472624,40.51514101015221,36.85165705461115,33.54801343064409,38.59457755869857,38.220430411414235,34.78492231537912,36.33230653438113,41.03645447190866,38.01553223766433,34.617532067091254,39.00376208499308,41.73867982704963,38.244703403802724,35.64624163856057,31.446030921531097,33.616943819952105,29.50952494560983,27.579901565658137,24.65229446122018,25.975744404060542,22.904329738820323,22.678374734908402,26.24022327612965,29.012794079025667,31.593892207555445,32.518870135633044,31.719050210544893,35.4954398665014,33.290881028400975,30.12132052783174,33.68194722648751,33.20089701170488,33.82711606131338,30.438123929695323,27.692285276218517,28.466913072715034,28.532105884772268,23.562094126781293,23.396429006175108,23.763542141252966,23.78048220165413,23.513333512077384,22.49227893452959],[15.632640293788882,17.312449217578433,21.761035777399073,20.730254982293456,26.63776719215727,25.95778286832091,29.503068229534776,32.49392461719445,32.03258294300572,34.9078128854343,37.04287530968995,38.824028112949236,40.16756648876269,38.47003716159098,43.16489466347155,44.857380124115224,43.822923453778124,48.23869090905617,50.43765285734223,52.869654548925375,56.102826199492945,59.83963903504047,59.85514494321111,58.89703869445397,55.66872365087249,52.30379313374353,50.657429171138325,47.09615732161161,48.0506958103032,47.34653303061915,50.37303201016863,49.35339028466216,52.4769245499387,56.59790129360207,54.562421384328516,53.147117947975076,51.80332360953233,52.77118072116613,52.255260202757434,57.266929609980124,54.75846481308921,56.089397293719564,60.32216610641837,59.47257630314718,61.64206052969084,60.39944119094629,64.21542410900663,63.18939146874029,58.37496324733363,61.224909998305705,64.07034179127103,62.94833113146122,65.55525095621837,61.10168747923984,65.86465207378959,69.12180887962168,65.48728079320382,64.29091990919159,69.1309826729651,69.84654721819453,65.50830088797797,66.83319297650591,64.77616628817924,66.60582697555391,64.34831082908491,60.60457223767188,57.736756910552664,54.708694782313685,51.86664023240002,49.569093992784545,48.50848374580779,50.43570448821181,52.708117138081434,56.34583487855506,55.719915102555206,62.1584872785162,60.85584695543604,63.35577429034883,62.238740826875116,63.385145795456346,61.175163717099586,60.20582148194797,57.48489318155,57.7795043985499,55.101908793564945,54.2710357617459,56.70524237953243,57.057567030220596,57.223628882167816,59.855348194861705,57.62576013307528,60.18884937058752,56.53294628241488,54.142590736910776,49.46535664749263,49.216427347256975,45.009423476071,47.39044144994866,44.4259359249119,44.62631488172362,47.75578641284226,45.766593389600686,48.708410705492454,45.73898706241338,48.55653536441641,43.58324251771793,44.7635852321948,43.15183600746676,38.63825767232024,39.546246014049416,35.2621762144565,37.56255229828338,34.968366760376824,36.47793190962401,37.85011109735091,38.22104376202276,41.92393503706396,42.34707390886021,46.990495557903486,45.1701622750775,42.16348863805803,39.134157217878965,36.54580298497908,34.53692131478828,32.11272423063826,33.705791538851145,31.151103718715536,35.102998428228666,36.491634152389,41.50584476976301,39.599296023632185,43.53538745222528,45.300427991571325,46.836719068928595,43.28838670090961,40.23882229278053,36.52959842946937,37.253467543639715,36.869517433135705,40.41398983302356,42.15871964817471,47.08348692426002,46.94354405552438,44.561822477536005,47.71670575545258,46.31228528314575,43.14199245413968,41.96654991732773,40.743059591066576,37.61201745477641,37.48777314175772,36.45600307902433,39.09051138130938,37.22328366818764,40.42219673362297,42.05744024631251,41.42335359370408,41.69907151354813,43.667483420096815,42.77945605782636,43.35339173970137,47.08026664451385,45.43002259458299,49.80567199225518,48.924431210885224,46.12525163858578,47.14385387908134,47.75783366866267,44.05873509608862,41.894258859430764,42.51350183895991,42.279626253906116,46.12565667900746,48.03139299035054,49.29651602395673,49.60596952578604,48.816950824876606,53.34737502768862,53.450452693473196,53.51191769792267,52.7227219789516,47.56077992378723,51.11780197662307,53.23974675348725,51.12920557382699,55.181650350627415,54.766099664983564,59.132260286637894,57.581088296157034,57.19140319423221,56.2631057048322,53.414411535906765,51.217964555230864,48.261848375696516,47.75626198278871,46.48291023532658,41.67020807811374,41.72917973999299,37.74116330587545,37.61080952586415,37.284187549551476,36.488882075051535,33.9607053096748,32.1087193886659,33.01423054257224,30.04958895308866,26.530835901625043,27.894660227258214,29.149961785654032,23.969065023206994,22.53332696480179,23.624693038506575,22.293353588484944,18.46413366367218,18.788691131957247,20.15710685058533,23.30641263513157,24.634291315579958,26.94195900819571,28.463865072620727,33.364351055523514,34.71561578931748,39.163119098881744,41.455372578419535,41.22031315109058,44.577323604239155,43.959473635998386,47.8765935264091,45.377315426937564,40.89272481003624,44.98792005967743,47.290421990455904,43.01110384686363,42.5659453436494,46.66004522426078,44.9192859025277,40.54612198355012,42.691503347213875,38.515312837725574,42.56763846139751,44.23337995630942,41.88087628794288,44.632535931291386,45.4453471527124,44.64048048694252,40.9703089673804,40.161710517119886,41.30338071792299,38.17421187942253,35.079522886949015,35.55448097771791,33.84798274988013,30.438497427575435,32.77246516542816,32.27663848763105,27.829537965889703,27.891565035421404,30.879306234057285,30.78690656639935,34.8554125953661,36.25888547123263,39.08491859236063,35.282154580982606,31.877050119184673,36.76719344962848,36.05967919094675,32.524718783977995,33.99570246463035,38.50018935620058,35.16047600305387,31.73636467851671,36.158658027212624,38.66117061500583,34.899319309823255,32.289843050099236,28.15157008906493,29.867581043776113,25.686390369664988,24.014362467440904,21.300104998485853,23.2652616112963,20.73443020082307,19.73437186693515,23.30016498139604,25.684925875574987,28.576091129646784,29.911175670551703,29.646148087534808,33.674214637734586,31.83211266573122,28.940000676174012,33.03339759354993,32.751287031925905,33.89164962020829,30.109568133338602,27.34545314913255,28.825671007282676,28.965048516910755,23.57030555951137,23.52521486896967,24.66038448840551,24.66866362565057,24.172949394697763,22.93824537168182],[14.327222514247376,15.28638850147357,19.329245739100454,17.776939483951555,23.599375465171452,23.476408294034123,26.89537528670211,30.205976080402035,29.82100481637237,32.431186853988976,34.78947621854116,36.77324637380668,37.675225795402,35.96247789077058,40.806250478418534,42.4042275343391,41.082548974616856,45.479149594443385,47.50673721165872,49.88552346320026,53.044245851773184,56.72061908173405,56.657949532307285,55.59687725040881,52.39751336030702,49.114045248999304,47.48350028888258,44.03255661415908,45.188277312002356,44.67398512453536,47.92587892473444,46.973448641289686,50.281373728521615,54.27265641798635,52.05850143338353,50.45513924237242,49.13756115641179,49.81393760374181,49.1548304148537,54.10622676976083,51.4673636518474,52.926698383532774,57.129921206997864,56.15197577521266,58.26679587174223,56.94186267145606,60.739432633415234,59.77948457999621,54.92147385437271,57.70352183620978,60.6414116770847,59.56871537043057,62.25061089143784,57.86343595864325,62.70409380182196,65.90807081339513,62.25992957813345,61.220117030637454,66.06981383252385,66.66022107178607,62.39833582306121,63.88300026724659,61.95996100470396,63.70450635097111,61.32817680646759,57.65008518581142,54.846890936232576,51.94518681042703,49.109324251878625,47.00424452197335,45.902042029086914,47.956621379737065,50.24686363708131,53.71011533098006,53.15851506831099,59.620380455022854,58.14944290291988,60.79272286350325,59.54079089715868,60.52736297142041,58.39457210557206,57.27110958265732,54.69963295631249,54.8225015252893,52.04040004663902,51.357042866372296,53.7703321479654,54.359711763534285,54.454511058706494,57.3449158258436,55.1246985146171,57.81835583122194,54.26104557427812,51.98321507693965,47.26152372333914,47.22370084473372,42.94838918440786,45.334951889311284,42.40349236205742,42.88829955285232,45.606149087511284,43.66081119908323,46.29215685652273,43.332773305641496,45.90166240018425,40.93807522715173,42.206926719420174,40.43623710099744,35.984995346032726,37.02323667441035,32.65612754946031,34.74468270323854,32.23332340187083,33.47009542952354,34.936356722575674,35.09445068441989,38.8495061634652,39.096873026457516,43.884703434296426,42.252984504726946,39.22920833413843,36.25616445243132,33.42798899235849,31.458923244229094,29.159791388777766,30.532314216962167,28.22775601830999,32.059543205086094,33.529687262546815,38.58041692191554,36.53827376569555,40.58648974742337,42.150589428372,43.84136094586262,40.07366045495332,37.02310863711137,33.19275566720605,33.849788276913785,33.41582561161369,37.02515901959907,38.66330498039496,43.59265165121182,43.59866429127371,41.25331951967874,44.46196437952842,43.25214433888947,40.050037887044674,39.085475953569876,37.95686131860986,35.03564269983102,35.126791043303484,34.41826170674904,37.31052192799329,35.899987706828185,38.87181746226626,40.193694436063566,39.266156796269776,39.427835380398726,41.1794071572737,40.115433499290525,40.35669930261777,44.09379027929061,42.18113445484116,46.61101212307908,45.585059354081395,42.61971630629124,43.677139797134096,44.186031085014804,40.521965567729964,38.34784762246483,39.073784782022834,38.89138495281438,42.871651709630534,44.90904770691856,46.3163916691727,46.8239706514213,46.111982122831996,50.7271013980124,50.57905459276776,50.673184970184266,49.64274697929204,44.61634101682486,48.04643845342747,50.065506437308976,47.87929067326526,51.888984611342195,51.47265845071227,55.78164196630421,54.07881183334479,53.71745854910827,52.75946738583396,49.9896900580056,47.80488432075994,44.912783464659675,44.4956011085486,43.32070929683723,38.519324707443936,38.791849986361356,34.91439597737823,34.9341702254659,34.900375980402515,34.27199876535848,31.502343412805903,29.681819277539418,31.003920811461338,28.007324709451378,24.05097249744474,25.8889385678325,27.660532796628477,22.136642003088667,20.74749825442693,22.418247707086444,21.145649074384455,16.91429206994321,17.685922914334128,18.488366997414925,22.480233645507848,22.952732521507105,25.27566686714793,27.283653613705397,32.12126771971463,33.96286595088996,37.99140905029922,40.308872146720894,39.75621476980936,43.02824948542786,42.188317089441625,46.02754131491207,43.6100636605779,38.82819835385816,42.82880120809188,45.12527833547461,40.73986287302233,40.10878531357996,44.083996405107534,42.37124984744527,37.95293671510682,39.82009111674805,35.86526466925701,39.97671912432391,41.853192942358895,39.804887118172545,42.66170215400916,43.8257248971135,42.8489391758527,38.98769742293169,38.642000987537614,39.886854647437474,36.46309537516816,33.47035514741561,34.398120329305385,32.74166885104159,29.13625877763164,31.824718257337352,31.66211555048493,27.127269270507576,27.164546554854336,30.37474791471206,29.91274388838816,33.84449683918813,34.86671132493738,37.724083006744216,34.15940962184923,30.315810232066696,35.02923637507587,34.48621619051662,30.885932762785213,31.889333192356048,36.58171604132842,33.36499228407986,29.550664131657424,33.76820093360958,36.5321282194824,32.811429179594725,29.936515216285017,25.620261945729535,27.490536031006783,23.08748544136229,21.963387097977957,18.73514044923629,20.841356497093248,18.192813129155837,16.7349019964654,20.2762481916333,22.673725191941674,25.516980708729463,27.15125953750253,26.693813352388915,30.821098983097354,28.86151736968417,26.334700205816354,30.75469704274661,30.830750733552637,31.997000108894703,27.873940095282748,25.481089106281516,27.354942528255243,27.08513897432831,21.627484454936894,22.135561547019616,23.833994298149918,24.084530881173528,23.697429837477486,22.585371617582485],[16.186138752428263,16.60293344883264,20.125208565690656,18.476280770098427,24.016386613734063,24.716942155290308,28.060405779262688,31.618160839897055,31.41731691375053,33.798984308936696,36.35411478146727,38.47691292187549,38.98859616281625,37.2837582776465,42.24695309824971,43.74542019253282,42.132980563315435,46.488743985918084,48.27961687031103,50.60428953544664,53.64339274071768,57.23332451439991,57.04290358384206,55.79702177836466,52.67374996165925,49.52301944239503,47.938101228853064,44.66370406151929,46.076040066639635,45.76381876744408,49.256231599191196,48.34170317665251,51.81079052282146,55.68766492945335,53.29735627306778,51.516314202706525,50.19005066241985,50.546847340825046,49.6794116841058,54.47663948460825,51.684572677637824,53.37876569580983,57.518249296057995,56.327459207690126,58.340541112812744,56.829871905085064,60.59012598165928,59.7690122106558,54.81438353863405,57.41311358138988,60.540318473927236,59.518347137812995,62.37009421365843,58.10869461719461,63.03672058580394,66.20542347013631,62.571510811338506,61.75686353812235,66.61669230634863,67.04068859097084,62.912432896975105,64.61500397323128,62.862101790436235,64.49233720001124,61.969353359567755,58.39027130787244,55.65494974998806,52.92248692482238,50.06480570164698,48.18593605345933,47.0040402847931,49.13175260574706,51.494150861321344,54.77451809497032,54.346170161913676,60.820188898390505,59.18485785770781,61.97396741001233,60.573923211617824,61.364470378770804,59.288026173805704,57.94275236289988,55.49494530714229,55.359924187474356,52.50637624883183,52.06556348378877,54.503511226347435,55.34953310333711,55.417740826522774,58.57454789806661,56.381462379182466,59.19170658836484,55.732280972734245,53.5592714819663,48.81486168792689,48.94991065432538,44.63465032265676,47.0050427282077,44.09037967028425,44.727937837274006,47.1196154326426,45.09513363519963,47.48656642735103,44.40570694190683,46.60584488215713,41.63291066751699,42.77804270274863,40.74145868022752,36.36780537358428,37.71470507209618,33.396201665332924,35.438146516648224,33.175238221470494,34.13346176138478,35.79774331562308,35.67539303322091,39.487336828759865,39.45112734022734,44.41158367650667,43.07019315394582,40.01666436834394,37.152921469996926,34.012311011156086,32.13792023166761,30.01191003215723,30.98609382875556,28.847751628124104,32.44451345763146,33.80644937098239,38.86568915906566,36.43673578876801,40.48141202278652,41.925476613589964,43.94230552038221,39.98407715027094,37.11327697550239,32.9513811811688,33.77017915994884,33.371866964995206,37.1056459738293,38.5428719682191,43.45858789843458,43.775043775624475,41.500170845693546,44.77651505651014,43.86653388776683,40.628254641071706,39.91812514508264,38.83286533664234,36.176249301776515,36.34858627000838,36.00498957666996,38.975134849523876,37.93841588574678,40.81728785079364,41.88896583732773,40.77802154133381,40.74379615704557,42.37505220049239,41.003279877002484,40.91007681540667,44.735432413945816,42.458922517959074,46.928970263512994,45.59049241043712,42.33032247865176,43.28822143078244,43.50463528069494,39.809631321041444,37.828615461091566,38.723145057913165,38.80062263346509,42.96950915975518,45.212917696552864,46.84914498453841,47.5520690141932,47.038803583272056,51.658515879794486,51.23839195157785,51.27557906336202,49.941467215268574,45.02285183436708,48.15290421562557,49.98169564997959,47.79779091052546,51.88185696542846,51.5870553255253,55.74796009417175,53.79351527856042,53.356654471402564,52.22669081188509,49.629861474428644,47.27695692191198,44.420134575179624,43.98188581681004,42.7177573202589,38.020180968552474,38.37798678460661,34.518150981117444,34.936523869791266,34.83704798878446,34.606633780197356,31.81151778730998,29.629958319092864,31.192665361708194,28.52479519143815,24.09912661274005,25.937312109875364,28.262313498769576,22.820763758779933,21.0910561067948,22.96197262000679,22.22604790227851,17.783740768722495,18.092330442844045,18.40808492182652,22.64553454739083,22.1312110461498,24.86483601643029,27.080702032190413,31.663412481204308,33.78886156451013,37.53487096842659,40.09357130415189,39.55798012729404,42.91892692603342,42.22692886698848,45.82961066294522,43.23099162966595,38.489817491624216,42.55397876592451,44.53416481639006,40.029287918385165,39.53790735275032,43.43360819113237,41.385607014277554,36.99950593150047,39.0721783064245,35.33750041592949,39.81771441239227,41.72644882324488,39.887840019465855,42.99374883669594,44.33713969531244,43.516958621820635,39.453029943575686,39.25049335145,40.79484023799937,37.35109141309735,34.19631079447872,35.42903337410647,33.98554602046499,30.16726505858398,32.739387243424595,32.893192903657585,28.5099711097389,28.124037567024534,31.23420869397072,30.463092965876257,34.32306965373947,35.29606814513457,37.90377678001468,34.27223313534928,30.426458640227132,34.957206220812125,34.160590515482326,30.531844525972236,31.4581280495173,35.93465746623939,32.485862314899386,28.69274808012702,32.883516071279,35.42896299204089,31.501590859029864,28.63211012742792,24.412925430915962,25.810702016551215,21.34872454005601,20.57756927146029,17.59868807842232,20.28638981583119,18.186879398136977,16.0048246870534,19.441991599186366,21.412172962635623,24.505365437454543,26.52232790879109,26.48245310682919,30.746948923195976,29.055923252979195,26.828553149370133,31.547191749287357,31.76966644284648,33.21908925647443,28.920564319107534,26.596716312765693,28.853495259604987,28.60423283052799,23.048603589706772,23.63102995345867,25.720391000705586,25.949758143507374,25.44584375740047,24.22226971695042],[18.499943141488966,18.199547879467662,20.930760486200047,19.052534425898507,24.069054169566606,25.798953562450865,28.951892920908932,32.8090768178835,32.80964489558543,34.83927079447757,37.633801571446625,39.94459391038169,39.91273592895389,38.22137665857203,43.31025689139049,44.667538775459505,42.66855671300993,46.939384645439176,48.40654731937957,50.64543002947884,53.50944323567735,56.97068026820498,56.6094859890416,55.13783222845704,52.12679386505573,49.1645747624147,47.64789078679596,44.62527347430971,46.37078245454499,46.340415694480974,50.12839753101248,49.28819898492449,52.96185438257244,56.65695500222442,54.039529460760384,52.01711666136317,50.70398434205961,50.62077158605413,49.48735370201724,54.07632016333965,51.087088042785034,53.06264844257952,57.10753651718069,55.651989919736124,57.520329276640865,55.79298462475876,59.48627129207814,58.84160449367223,53.798761011632486,56.15387360137382,59.51225662337065,58.56346749196051,61.61252495744312,57.5268067620056,62.55883028696937,65.65432208863858,62.042709736823255,61.52881397659407,66.37694466991866,66.57566293458585,62.63115157426722,64.61494433756872,63.09353911810362,64.56547388399554,61.85539148404162,58.4209544811114,55.789297157965066,53.295560630640594,50.42929138642973,48.863596889747804,47.5892910595802,49.81892484951403,52.25344634007313,55.26556904362281,54.99892173642196,61.461728531727324,59.60955010137274,62.58955279430109,60.997408674774135,61.525492181888346,59.54836479112394,57.92363609846883,55.676968795069804,55.21271260261521,52.25584681491741,52.12503368654612,54.56303127916352,55.75934353273411,55.76841825762412,59.27656826308159,57.12074559558522,60.07780006712928,56.76969302315267,54.755126818239845,49.99963596088762,50.37477506035306,46.024359913400865,48.37226916868023,45.5081580588586,46.39194716230626,48.305342119037384,46.23667676294738,48.25788104293189,45.083590250759514,46.80150162657308,41.86288163350624,42.90397997193584,40.54806647954213,36.326470275003516,38.02714627545322,33.77893494924842,35.662553807045384,33.71294305197348,34.265824456884694,36.14353611855088,35.64802466011579,39.49471505687874,39.090608060916445,44.24141783255742,43.288049150745955,40.22089857006674,37.52327422773225,34.00682420091057,32.27795766950778,30.416021019723466,30.87885397385451,29.052572082628284,32.29841376581696,33.561119801223676,38.58426496313674,35.71289419019777,39.75828473193032,40.97726028010086,43.392559446152426,39.17333087646618,36.524240904863035,32.00117017943997,32.95521307626434,32.57593972793161,36.42956432132469,37.58448391689778,42.445623793983685,43.153271240382395,40.990200674828536,44.3344482440211,43.82329420326216,40.563335517203924,40.207236526001964,39.216221114920515,36.93319829821743,37.26786389209757,37.39694384057809,40.50229509465277,39.97828535518457,42.67814448136526,43.39398543981932,42.00900635169465,41.74336434236771,43.15872753731551,41.4263308501521,40.861102374877866,44.746484156682534,42.002295111132334,46.50393608460847,44.78528527795534,41.156531800554674,42.01651810821767,41.861159575682706,38.17255896296703,36.420429836254286,37.54292709970905,37.926117367063874,42.31898439240789,44.81732599704845,46.73707548840486,47.71468341755135,47.43487608882875,52.061730952952004,51.27056399639281,51.26331234996726,49.52665443825165,44.808713770362864,47.55004921277448,49.1225419545999,46.923254368533634,51.04526838980302,50.878044941652206,54.837256961627,52.55595672966515,52.05257108567562,50.726042870219416,48.354362560696785,45.845686061373925,43.07309746539515,42.65238808340492,41.3408215186703,36.80348643826758,37.33972536246759,33.5870130321251,34.49709830593785,34.443125068395,34.703190178230585,31.828100919435432,29.308336060681317,31.26264052294563,28.9729822643608,23.984789875567106,25.963331300908795,29.003284770332904,23.649549396523682,21.64798575547851,23.871448903173388,23.696188805934806,19.076961371266247,19.081350421928814,18.67506631222938,23.31546915336739,21.424794687462374,24.550727933030085,27.121483364375774,31.320552628789127,33.90074783454345,37.14188404064531,39.93973256912312,39.312963094049444,42.708358499783614,42.09747708763485,45.38839004544552,42.645115869436175,37.88408362326062,41.93942968672931,43.55289742401718,38.91528929733291,38.511584712794686,42.2442099553483,39.83981768356278,35.503824306321604,37.68405192724563,34.320659499092926,39.184419517209264,41.19436417943478,39.710946751680346,43.09150463203359,44.73933227465297,44.02441796011645,39.71788243300981,39.83334057191752,41.702035567895855,38.1677712830223,34.92334698901176,36.60355002269814,35.40180023493985,31.36485928746398,33.90582787543377,34.476802708738084,30.27268695624798,29.48350151389229,32.51832159981951,31.327803738420002,35.010531172380865,35.785140067442946,38.11383446571881,34.54328040851413,30.59491914961688,34.79761141564208,33.80110650462775,30.170559418932672,30.816619583907915,35.06878725582498,31.448163851894222,27.581488502943113,31.596437632656965,33.967006670338435,29.85766693485385,26.92886121073194,22.830414757060115,23.6897020293446,19.14241151511096,19.085115126476836,16.30198557207984,19.643855293254504,18.19771876334436,15.094021234448956,18.23517362934169,19.618473005204805,22.92127435743272,25.478713648088604,25.832234906687983,30.212590844157738,28.792217679143207,27.070009598517252,32.133346917651735,32.62980239182728,34.361783448468415,29.8196481131027,27.73960979746986,30.459728000629593,30.095723527760388,24.541156581066517,25.368969644330544,27.92342745404559,28.185321138345497,27.60299395045942,26.347322474646813],[16.25299145744728,15.113830562789273,17.097154896865128,14.75683903168102,19.45352011801828,21.71800088320942,24.6929712699373,28.727743463120376,28.926319501533484,30.758653888147865,33.75255161898452,36.10057038556589,35.69995215953789,34.18400843954469,39.31144717413987,40.48889383021239,38.332775218439224,42.62007491970972,44.09469628550278,46.15882950035951,49.0542427983131,52.40950422759365,52.096474515240686,50.651274374212846,47.564468566867816,44.69181869627889,43.04926100788052,40.074561999735884,41.881427888052684,41.90233259663319,45.94940115871315,45.02474715641229,48.83130811645711,52.4348250645308,49.664793957257096,47.571173001694866,46.18574918872351,45.98170414789743,44.767319850631964,49.27511229603862,46.33648880041353,48.4074707706419,52.410949036811104,50.95626701902559,52.89103319610915,51.21213841891037,54.877593165839805,54.13868645770419,49.11253873234902,51.44164198730718,54.737078030001754,53.749449805206424,56.79998484769321,52.71658419293276,57.74140748400106,60.863194968961146,57.294567132469254,56.7958652453765,61.63507411088374,61.85122777589744,57.98023843059689,60.0495995119331,58.59815552141802,60.129384749641176,57.342775748354725,53.88937515272846,51.45272049064669,48.98975649176669,46.29669234367708,44.84266273498495,43.66751645221897,46.09630855796808,48.36932967857123,51.22433698047014,50.852276024155834,57.27312985310413,55.22570338848494,58.23592942153653,56.506388099736924,56.91078589271098,54.91333635594707,53.1839794118423,50.98852068490656,50.43678806182492,47.458264706534855,47.41166168599777,49.889284940666606,51.1805588562666,51.25226452923478,54.90081134668769,52.849632544977865,55.96024055951375,52.7398442002458,50.76697253576165,46.01323412264937,46.621261712707366,42.264330165960764,44.42873759815884,41.57026215874488,42.61066944641278,44.145283607758465,42.066086325207344,43.83771362672288,40.66843271284705,42.20932713813149,37.31361961635743,38.45559811471988,36.05566750589621,31.906234637284395,33.62864655724401,29.34703637670934,31.042885581978616,29.21583503938151,29.60481558601129,31.650742646015864,31.08577274156775,35.00193943607658,34.603042124289004,39.91986821447125,38.98689994553853,36.01408439744892,33.2989566474389,29.669853713339318,27.83519913546016,25.97176014046141,26.15507572828807,24.439563559312223,27.563643348051592,28.89515085445023,33.91010069264107,31.070452148662316,35.21422363296597,36.29458179960827,38.6975066190234,34.386429546838365,31.699642915920567,27.195686103304688,28.1051015195573,27.790580460804158,31.653734845176388,32.965717688341876,37.83402385656055,38.531036638682856,36.29404463836996,39.603139955472855,39.15914135589563,35.88966725025281,35.6113164478571,34.6286099110261,32.54181078298365,32.99375998404052,33.44040247521232,36.68862119497294,36.63226364271245,39.10204923792175,39.49708887799921,37.901600327516064,37.48968615114587,38.75830881351519,36.86471595778561,36.115510163279666,40.02756700888765,37.20462677062148,41.69139048235843,39.936399240864425,36.35253210830494,37.21290073728255,37.16150355140384,33.478047317026125,31.641233060483582,32.72579492707687,33.0759750334947,37.47344804852972,39.997636947520874,41.970080048217135,43.03751050630324,42.83478553934498,47.46322084568523,46.53845325408644,46.539913674837045,44.713073397602884,40.06417221654126,42.78295008231533,44.34942054760111,42.10492438810879,46.19773620020871,46.037982767777024,49.99379091593115,47.77588152728285,47.25665100048984,45.979478026539574,43.548204363798604,41.121480086848784,38.368982373085146,38.02850233793191,36.8731198705115,32.2799045442332,32.99957462553889,29.390714256652203,30.24264346162922,30.601608262876507,30.84708253723828,27.727549174340737,25.481613759051513,27.826156496215862,25.380351322740715,20.163372402435012,22.761598305503814,26.111713655492157,20.483609692555817,18.811883498999823,21.63022571632202,21.294959338035195,16.585662440405635,17.41222973956458,16.457339561689178,21.883785501395828,19.550883932552374,22.22538730935027,25.270823164927997,29.46400494227042,32.45765475750946,35.27397453687466,37.849200293501255,36.7652156184341,39.92452860889876,38.90805963567027,42.23792542252242,39.779153703390904,34.627791625343924,38.46364522702346,40.30943945297716,35.666314994950675,34.89493602986438,38.51673498497374,36.446426356861544,32.042022192622134,33.66836164122887,30.442002165107006,35.09151005938995,37.32941679053383,36.11646034711092,39.43685287009029,41.40520012025842,40.39421428568866,36.01146738254375,36.63606297954911,38.44665371195063,34.61744904801249,31.643172780421402,33.712294165276795,32.506191830927065,28.432183018860158,31.412901992082215,32.23065164366406,27.986826466425374,27.401476223809322,30.682797950010873,29.22853059586277,32.67109650088358,32.94253850091799,35.43865002485538,32.31934363779042,27.850986770675796,31.84304832264096,31.292152131159693,27.668291147614582,27.674859590189236,32.30897798572381,29.142447738657797,24.735457197841782,28.399960012618536,31.340385692883284,27.5605673640912,24.253582553410464,19.839671042680344,21.4377197172303,16.67002873928254,17.22727594162865,13.41015572295877,16.41773428254708,14.57967448696363,11.179172054366527,14.221606165901008,15.931551630013933,18.92107302720443,21.609595469323995,21.442683868947032,25.826796740882365,24.186990639873535,22.822440164903433,28.06341316533776,28.923897057442183,30.58286532647467,25.807011553127083,24.20756121134027,27.20762319508177,26.428153191575426,21.03966303243041,22.44349192421425,25.44706213646936,26.0035997775898,25.665061425996544,24.726492313953894],[20.001836465789996,18.59762384986777,20.03175548453291,17.06864705948578,21.160169257432372,24.038825834507453,26.567305749229316,30.8633297714168,30.868422714930016,32.156592385323755,35.21333110655976,37.90138058316464,36.997086695449816,35.20524433594606,40.412303522551575,41.6113293911033,39.04814974646404,43.107473717849864,44.08593206748621,46.26602204625581,48.863696582978655,52.195234288893765,51.61815753997953,49.90448615267094,47.057687031804825,44.28408754234957,42.93102236161046,40.2379437683779,42.423383907848276,42.86632253695568,46.89737237315316,46.341779022873325,50.25805729067464,53.600457066011295,50.72958008813992,48.32834496635195,47.19998273521507,46.45303182820061,45.043809744304134,49.49473978340688,46.16212279345271,48.323393788511474,52.28090595241474,50.54316875876602,52.191682111989614,50.268763321362094,53.90802708767044,53.49042586376621,48.41533835344552,50.631063193532015,54.219528014746246,53.4513415019611,56.61363325887451,52.70751238516379,57.90381051929586,60.78600377289864,57.123573817883354,56.98470523766589,61.79397854976785,61.66035768601037,57.871703263302244,60.14701845107416,58.912643659628685,60.114447114870636,57.21038517291683,54.00368736912035,51.433590726920905,49.27752340846704,46.374187674997195,45.25582596198101,43.85375713314179,46.20835129466601,48.716029421261645,51.3385033960295,51.32681857442945,57.74125571095368,55.66447567461651,58.921380792167454,57.143724393646934,57.38139010990715,55.663138345042924,53.79280326914438,51.95619531410329,51.17434310845508,47.980342335889326,48.137696937602996,50.40470464627317,52.10896469594249,51.85696969918088,55.82737151392183,53.6456870441032,56.7397136918785,53.68133169169196,51.96201765397938,47.235704265408316,47.94513721216686,43.5866155093831,46.01292406197172,43.351904431831365,44.81764401633158,45.93080783886863,44.130046080284586,45.46090487829879,42.4986174891251,43.71087415199987,38.94946579974028,40.22381519961541,37.61558669713254,33.693373141195956,35.57297898090137,31.2975949916589,32.51836072617489,30.767780132646003,30.585569497417378,32.468645893086695,31.419012176394126,35.196191143752266,34.30695135041733,39.58489465028916,39.144274985371766,36.0724749487685,33.66163704327651,29.707095463606183,28.2826595538115,26.95533629441802,26.924554535972035,26.007966591464776,28.764917290746816,30.24525997718678,35.16479052755943,32.084834970833725,36.30845923563988,36.94761306220384,39.681826554573156,34.977884660954466,32.355679379903684,27.665478785557752,28.292879093274568,27.66465989911954,31.578263770140133,32.24390977266173,37.01622036217385,38.104357072174416,36.15819112593402,39.601895097830955,39.57699995988267,36.34255092151568,36.543159933123135,35.889273744997375,34.13771370600558,35.01168704971674,35.69736065178414,39.22560242119032,39.44695845411583,41.59332456077826,41.770002220918585,39.842613776462166,39.46055730556691,40.31280385999616,38.3764553240919,37.03277015471404,40.75430663299889,37.42728012640423,41.994730452219194,40.004302579040335,35.938175910789276,36.981748234276466,36.48528534801886,32.98840006792495,31.212676559575847,32.68848176370345,33.17068148230084,37.85164408386459,40.61976664229545,42.807453122914566,44.234597521318875,44.041074722754665,48.801601313209574,47.487106224107336,47.61189292311583,45.36495522201971,41.104864316721404,43.528325756248336,44.82726828472726,42.437273970278696,46.322268044706206,46.08042322909238,49.86710557644394,47.180215966747326,46.839604687441295,45.46579539254328,43.35972440084834,40.95952046677988,38.43167060896014,38.2900659534677,37.29031018333095,32.89740624599912,34.01106323226806,30.68535895046006,31.934671744915203,32.590567073119416,33.1850679092523,29.90613543781464,27.62796549062746,30.387619159847528,28.1486952814427,22.600796604810622,25.472542757328164,29.276127801846158,23.70793819486762,22.043185238846718,25.08094355752888,24.94365450092773,20.246426942571198,21.028428814854053,19.684402639019492,25.253743316304973,21.973154526041814,24.864939978451538,28.160109327446662,31.986026160158094,35.308099608739056,37.67848623930761,40.40707912136085,39.19884108980673,42.310592212783305,41.265208936568506,44.322386255690425,41.83038172243466,36.60725660072026,40.32191340814087,41.87964673561437,37.14151622908627,36.33372445634412,39.68263090971262,37.37097707647018,33.058971398476366,34.50093081596896,31.83050326298699,36.66563741453785,39.10027702686389,38.32239128437113,41.78101998271388,44.064412334799655,42.99048494890707,38.47352005864769,39.493012856612786,41.42920307984579,37.45743451285095,34.59963558665503,36.98600406117171,35.87206589656535,31.753327409098627,34.81138706377865,35.83639252021421,31.66675970187202,30.99448899388331,34.242305908593444,32.564353583673686,35.83643097546663,35.886326064893865,38.20979643019415,35.238000757955206,30.675939489724307,34.32244065148477,33.70413596477984,30.136345325052336,29.765108684850674,34.204789423418376,30.994918176172288,26.503591089803518,29.811306235618318,32.654324997216165,28.78025279076217,25.394337110482738,21.164521466711513,22.16180828525501,17.37602477447482,18.953110607991384,15.379077988354352,18.797474126790377,17.408474130861013,13.345760952300566,15.805180649875116,16.834411441365198,19.821821504042525,23.163845583953375,23.028522784859103,27.40714893415424,25.730419280295138,25.09266597365791,30.531431714250868,31.7469640686769,33.35352093313462,28.407089527981892,27.276867527875847,30.45312817345848,29.270955864274974,24.13630231571566,25.929710682648864,29.106560980302064,29.75677970772987,29.457125106180737,28.518713240943217],[21.145708704186788,19.00540753196608,19.29307368890172,16.098318610564235,19.077131729213033,23.002790629203204,25.120010412311057,29.580932445206326,29.88851827465526,30.75727793443645,34.04666728564846,36.80348257478523,35.279498485897996,33.695842841152846,38.90048653478167,39.83298986801172,36.9276000078194,40.87896660537275,41.6293591337765,43.5657758207468,46.04614652055533,49.164972692555914,48.519666108947604,46.66962547217095,43.85400943289833,41.32872105012182,39.925597360658976,37.49831541438844,39.94467714541067,40.61433485315518,45.00934841366764,44.42469701414756,48.52698391612812,51.6504175458752,48.53604573932428,45.94922845411326,44.77180990915959,43.630055999488796,41.97062598133851,46.149464953156546,42.73889730295441,45.191506483540245,49.006177577156194,47.07847791983864,48.67864621831181,46.63223644455334,50.1848016070311,49.81587202888168,44.695206641906736,46.69772661172199,50.395828367984834,49.64755577480857,52.95126325395513,49.197866543612456,54.42774315513092,57.27741728953956,53.69105466602605,53.775172863282634,58.54966711017876,58.28267086745961,54.70960980632273,57.238571892694736,56.227454799077094,57.37336848918669,54.29381618196337,51.189336972301035,48.88556581780546,46.935054572191,44.21228263379713,43.40909110931043,42.05223987715226,44.61109051551258,46.99424016409235,49.283863131132875,49.28183411863768,55.596268825213045,53.225882921197666,56.601001270829414,54.59325369205358,54.54774143629232,52.881755073580095,50.74105950675377,49.08846366837668,48.001414749948616,44.753786884489585,45.21050537712446,47.5002275593521,49.50388254472922,49.281306370423806,53.56073297411496,51.51922073939031,54.81064779938261,51.94399053937706,50.36761798712094,45.69587774541236,46.731474927102866,42.41497971216244,44.625712581281405,42.03455162382883,43.72856250805966,44.238732104762015,42.40987088912776,43.28974250615356,40.300030466537706,41.00620200191721,36.383885838452095,37.6343948866722,34.7989146079213,31.14271111598855,33.258242924713834,29.135030221328925,30.048463152097302,28.695074864852714,28.07017544887251,30.21947922469686,28.84588373988583,32.629477869668534,31.47141736861293,36.96537043736731,36.833316524963124,33.893686164964045,31.641471979823006,27.40226319827177,26.04540305318663,24.977259437801557,24.277755713981815,23.770763565429057,26.01610418026183,27.426618216573143,32.185155059964956,28.838654859552925,33.0629015851881,33.38824221534908,36.39147415853935,31.471814503673876,29.051692112896728,24.163233605386992,24.849635684973556,24.308429052588213,28.25689947558927,28.80918433233955,33.48295227673008,34.87524475247696,32.97648092907056,36.39543534778075,36.73716187432085,33.53070530702304,34.058948088577914,33.48843582393325,32.21395538615859,33.25633189345707,34.49134182213815,38.11027662450228,38.982202702721686,40.819124830292715,40.53742804920932,38.324556518125746,37.673300694613836,38.258695672050806,35.9627729487735,34.144912905066064,37.88100017862109,34.17362138009632,38.69160054737634,36.387345451520744,32.092863027556824,33.04059900483819,32.316806832046595,28.858495779946374,27.22979202448439,28.86290060905154,29.57935638184368,34.38489422390166,37.341443214306956,39.76244755738467,41.44151778346008,41.490822042010265,46.18797219300839,44.52029800647727,44.61068061013975,42.018396556768565,38.01612243565991,40.08885356502845,41.17097666999227,38.75731825900843,42.62049377722673,42.49485425486913,46.101874362677556,43.234629187396564,42.82037851954384,41.33822820464122,39.3817306017585,36.9267262737464,34.50474326274366,34.454580290934466,33.55847217580213,29.320961983526402,30.732026935870635,27.70292417263119,29.263292508044444,30.275547285268395,31.19883231457029,27.780853643423942,25.562918022538923,28.80146318599608,26.80226344911416,20.985209797427295,24.265306063614958,28.57453511161511,23.17135726658916,21.680784801964492,25.123115602508186,25.210986496739068,20.68845770467354,21.734537395893696,19.762132602833667,25.668473862517484,21.483078372708633,24.112482876895974,27.797439738831912,31.23263970943026,35.02195613761845,36.717772406007605,39.37046049694963,37.80148634074425,40.696246404539046,39.424745848223,42.247478242913246,39.91879093129516,34.486655182404604,37.947967772241356,39.40415602284599,34.652122797216634,33.625231111821904,36.68711396486152,34.43193052690857,30.1993147298304,31.204668810734937,29.02591055214881,33.860723609805135,36.50305617570186,36.20738262086945,39.73797475182275,42.41637650274486,41.21628059486796,36.57632166344236,38.152677540356805,40.212756876109346,36.069550942236475,33.42461531963055,36.29440294376846,35.357574784117055,31.21073316118861,34.44109295740083,35.841845881349236,31.876648352576712,31.126447911812075,34.38435402749994,32.34780718517291,35.25287814525713,34.82957486401559,37.03493990182195,34.49951685649466,29.65730967945181,32.807267474776765,32.40743293436481,28.968404067204393,27.92557151535225,32.35787904452368,29.485002525183585,24.694352885044164,27.437077603926337,30.531598106470586,26.92394115155344,23.312814664293274,19.150931475863313,20.258936811061968,15.563199781387395,18.179141937407024,14.328469147106548,17.589088718784023,16.556098259715494,12.070510628402463,13.681549807399183,14.266397786144484,16.898394467496775,20.697484057462525,20.427468410906307,24.69950769915811,23.12213070927609,23.242138309448542,28.825247420939682,30.452749255368314,32.13236414828002,27.05543374658295,26.487382149048653,30.00658624198858,28.526537740944867,23.76948852021518,25.975571225573205,29.574467111177178,30.40526341425134,30.23215536688872,29.506220969516608],[21.41067349205881,19.385710836492553,19.84268905547266,15.540804153933891,18.629246216187504,21.838622508810882,23.45343558044625,28.01815920015998,27.64165122389958,28.0691394937281,31.17427015835043,34.28760519930484,32.671949087678,30.575826155430462,35.80160775732549,36.990429710799965,33.98773670521257,37.76367332114727,38.29019228427287,40.58838990198859,42.93732555480239,46.295219377853,45.53952217851693,43.70817119848585,41.01974052032006,38.24727199673736,37.16562209235698,34.680167366241946,37.18332481444796,38.08837775679709,42.01178457268484,41.93340478121711,45.939068496564104,48.92459078960009,45.98588540659086,43.25933831450119,42.502762796578764,41.217469349675724,39.73225835712935,44.30834891866682,40.58732205374454,42.61239393585019,46.58701741136455,44.72925038949918,46.16976275481264,44.19322961858707,47.87855800688958,47.64565540166608,42.61440770266345,44.999433012248986,48.685731706589834,48.15881057913108,51.2209166687816,47.36820578122597,52.717124379129,55.30638421869724,51.481010688570386,51.56595934547936,56.33686850274324,55.929543909052356,52.09750414642145,54.44578010067428,53.36136130141053,54.268888601173295,51.318394777620604,48.316868310127795,45.59563632946394,43.70163417343813,40.64797052967552,39.85809539040975,38.29451826487887,40.65519661686186,43.27620905647636,45.63487743941642,45.91889130618094,52.29119831279385,50.20484869374035,53.68611996105024,51.91342597995611,52.06428854023213,50.69346658070888,48.839377856005996,47.442796853025776,46.61532614603668,43.14117558608242,43.315903251433696,45.23527794057579,47.3236529705787,46.63196523435499,50.88136101253765,48.5434286320436,51.60514208072161,48.750682117823,47.34048786498055,42.69097057634376,43.575554855949505,39.266115978586534,41.95399024207076,39.61137770480616,41.74319175380135,42.20958452955023,40.99204318984246,41.68100357371075,39.26845478922885,40.34281913608434,35.865846614810735,37.68618727373571,35.14109015015693,31.54369168741302,33.18063879799464,28.80864626538484,29.068797955690215,27.159617759689993,26.229199442592588,27.675664934506905,26.13174288795835,29.684653884703163,28.407957430364537,33.57705065259358,33.52318475666166,30.40019075335702,28.302951188645622,24.094332215650482,23.12485297425357,22.48942252317111,22.44884985424395,22.84835277829598,25.23961276983787,27.272872113405246,32.00814291646586,29.273514989715622,33.74586284841857,33.71473311154902,36.38659977858485,31.248105730333062,28.32424502567176,23.967283788033882,23.665360560495937,22.412578426656292,26.24662514214798,26.30108170656953,31.02198520938828,32.212997461763734,30.549012658975307,34.11613530862965,34.36784949697492,31.21692003710392,31.920148673338883,31.78736355976402,30.40914758165304,32.023426044422706,32.91915836931879,36.93863687266533,37.61498728106359,39.07742490988693,38.89419086015818,36.45191767636862,36.2617007590578,36.424937879374376,34.73535794990195,32.714729163748636,35.997084526659876,32.31646160072042,36.98210334016019,35.11098245151241,30.783550902435827,32.38193297883484,31.824247833517703,28.722172868786533,26.512525411392616,28.311405173693174,28.452739153196326,33.32177040968613,36.180781275856745,38.399805239486014,40.21326406389866,39.78097298089573,44.78246828799429,43.11378046250255,43.55968090835549,41.020004913131146,37.296578856586976,39.74381995648909,40.93778416574881,38.2351713752748,41.6035193059465,40.993032529675475,44.79404582626297,41.826174224502175,41.93111336318112,40.79047676039651,38.835216122947465,36.886631713347406,34.69244810399154,35.02596353021221,34.63358291506493,30.32291171587567,32.119481550767944,29.38827186391664,30.483024569276093,32.13778355479049,32.59682407581124,28.879363364109558,27.45324336362897,30.802105753462374,28.23614394359969,22.761691876576805,26.58141342831791,30.482564108691857,24.694242285767633,23.812609067381626,27.37200460680221,26.721462276176936,22.27684304070728,24.182274792267354,22.53466347471065,28.568338277528674,25.148298447364827,27.3286063390067,31.019330728102045,34.721989785095964,38.40402150385446,40.22918054859501,42.60715121292232,40.79966528169831,43.47676471014778,41.78442006222583,44.840176882125455,42.86986489555174,37.12955607605295,40.335431121127996,42.213508520821094,37.55818319516304,36.106173250250066,39.03661621160313,37.318086449976086,33.07876179998016,33.282006707536524,31.240438016756443,35.45756305359181,38.35772603336146,38.169161945796326,41.36593989394095,44.15259222566584,42.45594003362245,37.99198283715755,39.88492763953393,41.5039015479073,37.076867964000584,34.91781425275124,37.70670334139527,36.449699992988194,32.548498645109476,36.25968246667041,37.39609657392289,33.151589435789376,33.06032274202501,36.58342211895939,34.772028050111246,37.67592622327343,37.02170198074444,39.60661206788093,37.3538676327312,32.22612307485239,35.44514181824327,35.52829998451091,32.10657109286663,30.767603737848546,35.59403826281431,33.12675169492413,28.07224312055965,30.568359149850856,34.12965610119086,30.832715156636947,27.067750723153868,22.737550264607016,24.409972769548684,19.73538968543108,22.266439458051565,17.89002860366983,20.47397489730038,18.505316170655206,14.625120541529613,16.285604884370137,17.490628310052912,19.516531007931935,23.136474231178475,21.724698869127803,25.798724384110646,23.323686108399105,23.790839477419777,29.219622393993195,31.151681995969184,32.15620926547067,27.002564117507294,27.04656352681711,30.22274861111175,27.947630029740925,23.622070464484754,26.477256634451674,29.875062227879752,30.951810696927417,31.054881429641053,30.510301407608424],[26.192226633726623,23.990065565408667,23.96078250731882,19.922151387248412,22.132623682223826,26.16103406461858,27.472259597179,32.10345273292702,31.879751622056006,31.86580421449388,35.05306839468248,38.307576937939686,36.14172186962356,34.041162689329155,39.21240733184816,40.250706685621566,36.82897665480438,40.296995422471326,40.2448093308621,42.450050470885365,44.41027340963101,47.54795265710668,46.48692882481724,44.28856531711189,41.91463419455991,39.475804575581996,38.65320917485886,36.66212304245751,39.60340467923404,40.93229005253749,45.02183747063325,45.149785453801535,49.28650392046962,51.95917271029478,48.830036567094766,45.81168895229767,45.184000645714704,43.26185108685522,41.44126139119564,45.648895735876486,41.60098114790202,43.945661453167446,47.70908498544795,45.440360979120506,46.53656246402101,44.19445191523268,47.72911122106864,47.88968463207731,42.80442710834228,44.80020528826019,48.864223360172836,48.543046331930924,51.84721877865687,48.338670841971414,53.790883175886826,56.1577804669063,52.36761173212098,52.952125520629124,57.62851147322759,56.81804642848004,53.28137975233793,55.990043835390296,55.260370685770916,55.83562491513696,52.68047521798046,50.004780482605405,47.37580276227846,45.909759955205246,42.815427898085034,42.50611408516201,40.786511368059244,43.12597262725328,45.874180117177474,47.82276505647684,48.42928620296213,54.67026112077471,52.40263558323726,56.11758583861303,54.167759711325104,53.980663473916756,52.84904821616916,50.67689436191284,49.65289687182767,48.39726621044198,44.79976063764165,45.39593679420384,47.19070006050047,49.76251882924999,48.89787066121014,53.5408635829113,51.22738841666352,54.36063678022711,51.758535527781845,50.612824927879345,46.063234116488665,47.15935246918835,42.924523634260105,45.623171471976605,43.437449639665395,45.82055898206869,45.774514709908814,44.602567412303166,44.824031285008495,42.420958990794034,42.877088040081944,38.59585293362211,40.259340235696634,37.38394124126428,34.133463128300455,36.13954954093235,32.026108594061334,32.02675043064333,30.56629480436795,29.10308756305548,30.644155456178197,28.58611059610897,31.93017798035659,30.050496975176717,35.19897762659104,35.8105772033013,32.74988765732879,31.070490067309365,26.555260076961318,26.003985891902403,25.895949775288308,25.225318981232867,26.156767103794145,27.910518764625103,29.744750140448247,34.1991890520431,30.96837705091244,35.2843227787781,34.83890609734001,38.02612439987783,32.61625058585082,30.123131085666664,25.471113728859955,25.246627918067997,23.95114203175961,27.730142550982606,27.064122613374867,31.463021800767443,33.31872652340787,32.004646273804426,35.58483975677233,36.470376423201486,33.43095465709322,34.67406846308095,34.748849147031464,33.894722658331446,35.6795461862893,37.01057440351165,41.061195961405076,42.14248060651717,43.40942874162127,42.916440840417074,40.24164387205505,39.847739397630974,39.708181976902864,37.69187985648497,35.0577823583515,38.22644729798964,33.934814178110564,38.51440962720693,36.14026181086867,31.257211183652288,32.76645217462075,31.501499632282346,28.613645251821882,26.8368596315746,29.06190367631898,29.656233860574822,34.733102400505864,37.89758211985662,40.45564274239389,42.638645394366975,42.473878151884854,47.39850257507065,45.24650003130166,45.67016257567022,42.59067914892625,39.328899158457716,41.15121789507641,41.90912734747489,39.19990358080835,42.449423424816885,41.97311226882488,45.37686345275977,41.84359157136441,41.94936009791027,40.53245239856279,39.06217104454081,36.97095070770942,35.04587954065939,35.476493596705666,35.09140948257981,31.21349082480645,33.29168929434022,30.878662154597507,32.61505870968461,34.274043076852735,35.322138735653205,31.672626349714804,29.894913394394724,33.53119375056112,31.505299969025465,25.727436109310453,29.41868935925535,33.85512429085403,28.417988570355213,27.252995179523086,30.867212872978943,30.756117202335293,26.32283429673172,27.7169623128254,25.66325699083525,31.652506905923957,27.140099009441847,29.661036586560893,33.5030666025884,36.67184842617879,40.68624654693059,41.96092843544388,44.585305071107626,42.76459223987003,45.44486910591192,43.92324199673224,46.51922659840693,44.390948421526346,38.800481661643765,41.90917008779347,43.236397247323204,38.52525014751221,37.23489243974794,39.8182291217359,37.633180571355524,33.62420135247174,33.91141661549234,32.555424573027175,37.13889878062929,40.09587957653375,40.36942625469683,43.821187121603685,46.88001739970507,45.36590658141612,40.734393552695266,42.88984400775433,44.83488590786896,40.44695515180579,38.212606589575145,41.329910859790154,40.33597900535062,36.3175569354379,39.82618094258548,41.2832177314365,37.277232812893836,36.77986140303029,40.116391953215455,38.000983729323366,40.709861653311606,39.94426906049667,42.13913252720495,39.94332956386066,34.9287039070967,37.70012779813552,37.5025440018365,34.19872510899569,32.626418024943774,36.95908287158104,34.34336280808218,29.45003761876928,31.56257637473007,34.727325502185806,31.32015906459435,27.663746147486915,23.81627306197488,24.561812695909286,20.201526903303265,23.578821901233418,19.891424245570345,22.972108946857542,21.89799587785509,17.487626911250437,18.4989142783286,18.663089601623117,20.711887497477395,24.888799026067318,24.085857725545782,28.031707163604906,26.043665790411918,27.127161286567826,32.6530368094518,34.76652735899211,36.03520114374043,30.860563148102493,31.06287046925256,34.51666739129565,32.29866329790225,28.10295255916245,30.901937601381793,34.48399372016014,35.49531500915193,35.46242250586104,34.80195020438458],[26.719511482783005,24.57576554985242,24.555733828636875,19.789921279010382,21.840059190962524,25.239008876945427,25.995144824637368,30.618928845095017,29.816859769479162,29.30432425917068,32.285702208135916,35.839500338960406,33.516552662624036,30.980284244540044,36.09029330082084,37.32341468797144,33.79011666739049,37.01988418858546,36.69882078834864,39.2195850427111,41.01834348045918,44.35432812661609,43.18522883303711,41.00276490980826,38.77024581519437,36.12343498461843,35.6316783855947,33.641997388000156,36.65083953701283,38.234019395744966,41.87277717472764,42.48910512931035,46.52155366430762,49.010758912488384,46.04183645820081,42.88634589771193,42.66880182355391,40.573463428639904,38.91229370363132,43.45264083984266,39.12305408784323,41.05147587697782,44.938228492337984,42.73804975131521,43.67119776001201,41.407015483176394,45.05723294071432,45.34504302364406,40.37345949641265,42.73887448902715,46.764199480869614,46.65698613352568,49.7099682789629,46.126350052122596,51.6674455011383,53.770943236288275,49.769322434204476,50.363604481322334,55.01312665995576,54.06491046484351,50.30355823584855,52.84546678808241,52.06867217849565,52.406114697982936,49.37142441678382,46.818378813712926,43.82162871072862,42.44946696629036,39.06918890841434,38.830978063118586,36.92021215897908,39.07384862198604,42.02588585837419,43.97825379340137,44.86788905503451,51.11811595910775,49.101487573282895,52.91510709156048,51.17600421821126,51.15069127565538,50.315398510758044,48.40919667464887,47.65569499439376,46.634804732496804,42.84166346907344,43.185339403047365,44.60738013545168,47.27522384131169,45.964084203549916,50.586233143888286,48.01755915207702,50.936341511552584,48.38904536426955,47.43370870311419,42.952214110012804,43.94379127815134,39.766517036727684,42.8630510045409,40.95016502311066,43.75068475382429,43.58015587795347,42.990439721551446,42.97600700918523,41.13777555436159,41.88520134541113,37.80097247630255,39.969237194487775,37.381005712261135,34.24119237240227,35.8029518166783,31.547486498686336,30.91997516006144,29.026702400275802,27.239540244019295,28.092943007323967,25.838961755842007,28.874195697112867,26.836392912877628,31.61267872445849,32.36488791018226,29.174062821864776,27.72776300248963,23.27158023328484,23.183199649415446,23.589685988330697,23.463883905003332,25.279832666324396,27.053872228096875,29.409147731601756,33.75087897850769,31.12617020237758,35.6097540980146,34.8338205073401,37.67204140743328,32.122651524485576,29.207408801346773,25.152921337841526,23.99320600371038,22.02596880230325,25.59312539856752,24.381358315621675,28.752352103509075,30.41902903184653,29.377991709954923,33.06025133166941,33.895060190517526,30.959841042243934,32.40865029606756,32.9193415880202,32.05077951340559,34.358278872268656,35.42965543910756,39.796311948341035,40.774300380867416,41.63992553513704,41.17919341833902,38.286700711333516,38.29204523372678,37.7230109346869,36.262705620538235,33.421655384944,36.105859702896275,31.85296097523902,36.51539323827046,34.57306240751494,29.712263429722316,31.843491456975293,30.77439165619834,28.28417188455821,25.963691186161007,28.307690673479073,28.33907006073162,33.402026397957314,36.443706239562246,38.796519878605956,41.108032872616185,40.51051766392951,45.67065248180174,43.50414107662918,44.2617374252634,41.23785042603893,38.29411570943324,40.4349053983845,41.28951836926152,38.32881529523045,41.06632360034529,40.124569514250105,43.68966590345501,40.08576965780637,40.70221935197495,39.642812493686485,38.17388675636724,36.603948153414386,34.9151908778913,35.70847229507206,35.80716460327789,31.89892968260883,34.30003933762752,32.18314253425371,33.475870425192404,35.70261955849942,36.336068492518265,32.45906779750929,31.396527006754486,35.111593902959775,32.62957906270173,27.202222742706763,31.32269216710867,35.40611170689786,29.716938116887786,29.0742114350687,32.78856089806729,32.09104991526607,27.793255987804336,29.884719291009166,28.051163131000283,34.15922674775224,30.268741208806087,32.36813642285034,36.23152959479171,39.6304422168528,43.57274818667575,44.93165390307348,47.282360197174825,45.22182106088463,47.681862191648946,45.760879102584234,48.564845181751224,46.79149790604229,40.92284179887359,43.77572590818841,45.511171623391164,40.913202737527136,39.22313970803585,41.67957234752323,40.04247037173609,36.03687630993947,35.572129234613584,34.32693155621351,38.29507245923868,41.47008487125846,41.84818516238858,44.973774858552915,48.13398980455992,46.16744343366027,41.720844253976836,44.18007548454726,45.725421814484996,41.104466980615456,39.33360785678584,42.395367141990846,41.145699227032225,37.37215336520924,41.28582254154686,42.53951484622543,38.345111180421135,38.40479252053796,41.955649438436666,40.01444163329415,42.683276885622625,41.68195103641826,44.2061328676248,42.300970076621155,37.029109283146354,39.83096489221938,40.090128675769456,36.81249014340514,34.96148358936712,39.65649407025951,37.441727365465184,32.29854405640638,34.19274293806834,37.81122183112296,34.7177352886011,30.912523159356894,26.883524870133968,28.236021956048518,23.854107377840663,27.098601493836576,22.897762961925046,25.400759378662904,23.611255600926825,19.711723744746347,20.743443674913266,21.450735247591172,22.98332728749041,26.92613550191017,25.158105412369878,28.853030157792958,26.12838599990112,27.540700498991146,32.84044734192991,35.22217822663522,35.89434617469879,30.728500026865113,31.502456020745417,34.64744049361041,31.755814285497113,28.06666736828099,31.386845282152844,34.78961994908533,36.01735760605103,36.22451432860917,35.736848291571675],[23.523541869818672,21.124113982662756,20.750294621331005,15.904954335348807,17.739523862603598,21.2509958634515,22.023819792587222,26.66384264926978,26.110829919140755,25.775630137725216,28.91648481852422,32.294889451730384,30.01660142540737,27.7894051124003,32.95120986871496,34.040642040079256,30.64470163695647,34.14198753875357,34.259152142975836,36.56525857934892,38.689879113356426,42.00149408844473,41.104206392815065,39.14908726040946,36.58702567347487,33.88846877388582,33.004325599502316,30.7680733198629,33.572079279359755,34.87855808807233,38.79296234671828,39.048304848020855,43.13482914826009,45.79062875358172,42.755497435700555,39.761420521939094,39.26675257505878,37.48815886208519,35.88624816508863,40.46359098797832,36.44516125171893,38.438644989769394,42.37719097442352,40.38408277126923,41.65869928526068,39.61119686747117,43.30766098634915,43.22111333113197,38.2156151968229,40.678559235352026,44.45447729650269,44.10999278717591,47.125444745024296,43.35705071603131,48.80877394794607,51.173381437663174,47.25775166903674,47.56056326239649,52.28496898805613,51.65018127358823,47.84928402696463,50.311504860552446,49.395289167067176,50.08000719507208,47.05336428698778,44.232597948206404,41.484016107214785,39.843937737464124,36.74705340874939,36.29648298241067,34.63943743466027,37.05473342783986,39.70236683448265,41.76253002043404,42.25755400971999,48.54728950328841,46.37937601230696,50.03852556907392,48.21349596512069,48.22755441235144,47.122549738024134,45.218940749611264,44.19244287041633,43.26019029846357,39.58864654525834,39.85222511718672,41.51221182068379,43.945885164232806,42.95011306195638,47.4617982267169,45.06369655833025,48.14494414516603,45.499939583594504,44.35294171044884,39.808195686852976,40.901686029645504,36.682559505530826,39.461976123503504,37.38719110210456,40.00967512376872,39.866267056349365,39.05975525548197,39.17707265473711,37.175277317347536,38.014656087803345,33.83985038544733,36.00875222229889,33.50306847909179,30.272750340003178,31.75528034835557,27.46153250750037,26.938188227221882,25.062936566540028,23.454163653763793,24.59445929450383,22.57598662124443,25.900140676202717,24.232812603344644,29.353114907239643,29.696196110361665,26.599218121576587,24.82714101200546,20.376752743395325,19.84105711092721,19.88960115109649,19.648234421848276,21.20186567169113,23.091320617659175,25.46543892521198,29.90516557144898,27.433297575039145,31.98070518617172,31.393043897340878,34.03127509330513,28.608844426461975,25.557266048998116,21.544962841041198,20.483504525277432,18.727324848272502,22.43582528454017,21.924388128457114,26.554923748343352,27.909614567094454,26.49953792937973,30.135633681979094,30.702661648342325,27.65651884006015,28.835633433255467,29.125806962203953,28.181362063975165,30.34052637205026,31.505879766451308,35.80271969299452,36.93158579109699,37.839802227431534,37.29735630916792,34.46254679217405,34.33991557447872,33.939891283752196,32.36209200853673,29.746316013370038,32.65523250627245,28.63702556407021,33.32479958132268,31.486582804657917,26.937153267839356,28.94596452302276,28.3004915516828,25.575348730260174,23.076729143355152,25.144319505981375,25.0575107236274,30.037373857962812,32.97744744840028,35.25360384106816,37.39490899476689,36.854560215438134,41.966375222088544,39.96896966699193,40.63518228610232,37.82200939429566,34.5973468372594,36.95143397536059,38.00743136604835,35.094992833714485,38.039974313276254,37.18279898102324,40.93636265959496,37.730806816444336,38.1557921287463,37.178777507820996,35.38178038380799,33.78621069259279,31.896244409238093,32.60320671441752,32.68611617434995,28.56263089403352,30.86384297873265,28.680596525582533,29.698486979000688,32.044091355377134,32.46976070669121,28.542658594401765,27.73058859573691,31.43490583032124,28.794511924415957,23.534052739583625,27.835033173977326,31.77168410352764,26.079053361652424,25.69928699223008,29.495458875203948,28.635971242351243,24.517902030967406,26.96243382123828,25.108015242128236,31.26360052331744,27.7037182808569,29.400002439314314,33.28126058921128,36.77592298284171,40.686699559682786,42.0511362886896,44.17974177729259,41.97712243797409,44.31306209140292,42.20442161920859,45.17025916180904,43.58191535412626,37.580002791013186,40.35818974371766,42.3921082818858,37.86803481711051,35.99192105211871,38.538448790358785,37.25479046209956,33.169549720620374,32.46545786753115,30.988422588849044,34.68865895070052,37.88258588183931,38.17361511500583,41.16257119059882,44.30812558360925,42.21665346194419,37.83466406793963,40.35780154938987,41.781238222519605,37.11018636246206,35.474420718601685,38.55350937601943,37.27340240624315,33.57880785687314,37.62736522216616,38.886861566811426,34.72590286806147,34.942442792981666,38.5540698450612,36.62873152676322,39.20021703108592,38.052107186003354,40.72415209291312,39.012266811871974,33.60797765823557,36.40986857724991,36.947836394515704,33.7066092682276,31.712064224295606,36.657630242704585,34.74022923989286,29.439294348020393,31.276449356968698,35.232955891281584,32.4005009972475,28.489742341919264,24.282607300390456,26.291166859233872,21.907931257559884,24.94647781200131,20.340161973958526,22.314473627105563,20.21046879384523,16.67517268791648,17.602390666656873,18.7428419658777,19.953775397558317,23.61666190633012,21.40788772941627,25.055543756494426,22.135034360498175,23.526604966184415,28.774405354228303,31.20663203115916,31.816365737828402,26.651168601856654,27.569219657370663,30.72117201398186,27.761722307721794,24.20824088446529,27.669530147020815,31.17107742615839,32.5025197686542,32.839625653981436,32.53981758291074],[25.48223780184594,22.706426639022002,21.619984514424075,17.617484566502107,18.527981437792796,23.352644256668956,24.248311819627844,28.86498448571699,29.069908075375196,28.784622978699794,32.1880660920041,35.31657149653507,32.661693388545714,30.994419694486197,36.074109045290314,36.7579671169718,33.15840164864761,36.62044997817182,36.61257965427122,38.42563994678131,40.45345538717805,43.3515360937226,42.4054377481938,40.23141800007714,37.6964570312465,35.487950626822055,34.390340400038994,32.54418202406322,35.57726077858079,36.940162865601,41.4750336424303,41.35660951259775,45.64145914615865,48.18885933313779,44.83110191021617,41.77129489229514,40.94198775569973,38.8562792506758,36.850493262316704,40.7941494481935,36.878182354980844,39.51998824058716,43.156369951874815,40.84900327297807,42.10660933729514,39.79283936023128,43.271106313795364,43.24078880670864,38.10666901225591,39.97353784934665,43.971291152087844,43.530815213246626,46.92086041194125,43.44863934241911,48.85717307713021,51.34041992082284,47.68117910127519,48.28659472471334,52.957394716091216,52.22393860923265,48.86971367558538,51.74394042334027,51.13372266065591,51.872599179743794,48.58045328731285,45.849767020527324,43.64307864185132,42.21831201443494,39.50551889136236,39.36818537290683,37.87349893588218,40.53383677704876,42.938473637372844,44.62328691438552,44.98498417291391,51.10123328019263,48.49036661037238,52.188391128688316,49.99221104271595,49.57438271795936,48.33695872128837,45.93979074021841,44.93438958988567,43.46716127296373,39.91138968995636,40.73088766853081,42.66699983750576,45.353926549491135,44.71085624381475,49.52847754549279,47.46732990382003,50.85230978887746,48.38663329981084,47.262874326465926,42.781203775613186,44.21904795811644,40.061155815209524,42.32712590337185,40.13950859963564,42.5773064251803,42.01444990595164,40.71124993318868,40.59718865565497,38.120301699642916,38.171090675107784,34.036424036828535,35.68014763053609,32.70773414951753,29.7217068996944,31.831336529786086,27.92610439600503,27.66869038909468,26.63667713750237,24.873286773371497,26.793517911134348,24.592144833766127,28.017726588323015,26.106554650371447,31.585597283752875,32.25447874957582,29.445293259629462,27.78040040082933,23.118991428036924,22.41573703517418,22.385660340804,20.981095576294248,22.17863379833031,23.411221857218905,25.16142901180037,29.40699995139354,26.111956733251763,30.41028263723031,29.741277504621902,33.003710797772115,27.51084994340883,25.15860037965815,20.463068340327084,20.288085455027716,19.20650387169237,23.007732694663936,22.600436636209842,26.98875750479468,28.96091301511454,27.505563371418575,30.987366134670342,32.07355930034428,29.05192155847325,30.447157386470852,30.482314892471653,30.062343756660848,31.878363644623704,33.72354540408099,37.727778281555246,39.43246436262339,40.442431365280456,39.51113154739136,36.66519698514751,35.96429429282054,35.67608730540523,33.301597145266925,30.37906177681334,33.62847483228934,29.152248717841967,33.6449393494399,31.059391203389723,26.160814469377456,27.532936376969516,26.307658945017476,23.37173237484798,21.606680744442446,23.84023112755421,24.572752935964125,29.66936851194303,32.92066526979226,35.622559815806284,37.92340353489777,38.00985635627812,42.79522312910802,40.438655991261655,40.78497041511739,37.53673030263203,34.40552646440158,36.02098898567204,36.69572467636743,33.99071644112604,37.289668282841596,36.9548240453766,40.29426920815997,36.846858885430066,36.79340372424712,35.35612171549071,33.829804046728256,31.72564404636963,29.818793466500193,30.327652904803163,30.10109361591701,26.289857868142295,28.612134019045207,26.53047861936795,28.303787558672422,30.38344432662723,31.52890148268837,27.79460825434295,26.34005758392487,30.288537403900513,28.37975962464631,22.710276819030188,26.748083353819403,31.341504543039047,26.16626883179069,25.364919486726308,29.226113652796826,29.14667490805368,25.081963989737087,26.870357006305667,24.458492005295657,30.56444907019012,25.826265776883947,27.755106842015287,31.807371922167523,34.71735762914514,38.99004213174722,39.74906875599252,42.096419252881844,39.886723937714756,42.2487360077782,40.39032899937226,42.890848638219886,41.09023425816817,35.27896746626952,38.04518620395135,39.51961788153959,34.925284904908324,33.28280993077466,35.61486661302169,33.82686955895166,29.901364886945604,29.50508323001356,28.50241806332948,32.755732843048506,35.89304431409894,36.53899102100893,39.884737925490846,43.239586832262304,41.52047931625063,36.90435094356044,39.56011954966273,41.47264081579923,36.961909414631585,35.05856165696008,38.519820447652684,37.64912442912125,33.74405818788876,37.43381400411294,39.148909475796955,35.37382916869523,34.95493320590002,38.30087118646592,35.973049274346074,38.29289540215414,37.05056140756503,39.24633409888844,37.58359166478882,32.326942579093775,34.65023019700096,34.870018510933654,31.759775005199817,29.551230498620104,34.00279822189775,31.971718563304425,26.81460692264333,28.31910682772642,31.929289479500056,29.053710898983756,25.220076956257053,21.43498443062171,22.798324025825647,18.7490348784735,22.542323726549174,18.511772386661914,20.872831222126916,19.86879455424814,15.744907125907497,15.907971279799655,16.009362090568846,17.256052843134924,21.441354369961317,20.15876428804851,23.792092092496496,21.794651831538175,23.565337727577006,28.99297966026108,31.45073346655072,32.6914388468004,27.544992261990597,28.31346130516672,31.945044714824007,29.49646210635904,25.832632132125767,28.94248257028601,32.80894370954418,34.01304874284394,34.16341629265188,33.78667761563102],[29.499568807193484,26.859182927381866,25.896010086766566,21.581051381001036,22.337407102549815,26.914303594974328,27.385208995048828,32.00343972436816,31.794223863528558,30.96964267519385,34.202616745490516,37.640380924241974,34.65450071004377,32.58764103532231,37.56972233667819,38.366675821164215,34.46004457951435,37.49765131369431,36.843996367576366,38.88763585079837,40.46146492436265,43.364053745279016,42.06860685880418,39.60675656283674,37.48778418573668,35.36598264245163,34.79120671141039,33.32174100848294,36.69155545358101,38.53198448630135,42.73159709222568,43.16669982358248,47.41312021038666,49.62518809430472,46.31240128712608,42.96496920355757,42.577881839591306,39.93839662173052,37.844518462238824,41.77283612371232,37.37859448282601,39.889675801797665,43.453690989050244,40.87978695451866,41.68587095383104,39.12181362990351,42.557008062497296,42.99894537258867,37.937156362219135,39.767608042768146,44.05721707420267,43.97782149169521,47.34708520997785,44.11010533985347,49.65271142215701,51.726384557989824,47.924143615726805,48.932528193105945,53.49134640920219,52.317640201088615,49.00864250417296,52.00126368590008,51.610095524320094,51.875950728487915,48.552135724582385,46.19390429543933,43.70916509983422,42.683479948147706,39.66487435965439,39.903092875701326,38.1152721712006,40.536793136596366,43.24433693411848,44.67249915313229,45.53575190525153,51.56048362461439,49.08115224278303,53.0166997340846,50.90312579022396,50.396528435824884,49.58762676493571,47.20209502610637,46.679054904764286,45.11219291031306,41.33104723204322,42.23500623390994,43.75989286093854,46.84361021020251,45.6998022272341,50.73576271656007,48.460344711654244,51.67212687981646,49.40912471468268,48.610874656571134,44.25293350023319,45.67511833382718,41.6101389512704,44.25670513057299,42.3762155505967,45.243597611546775,44.3841092149728,43.55579002435365,43.03858826751497,40.99832489579659,40.916682515915866,37.059028669499895,38.936060329143956,35.98502327910777,33.2840827479113,35.28759792772871,31.44158843882168,30.647297691898903,29.51486523009734,27.265540177625343,28.64367277134511,25.997339693007124,28.975783396773146,26.509423622069377,31.56419730761981,32.83566602338009,29.954444039967967,28.781046987294616,24.041717476090657,24.01570586511355,24.68080119852514,23.44992323819058,25.52319274595728,26.469150154010023,28.441658713478127,32.40036049165242,29.24332211896168,33.48503413439508,32.325297844924364,35.669956257642845,29.959364152606906,27.631074654499063,23.263646302142714,22.442382871925858,20.79704279957319,24.30539958493509,22.828071563978146,26.857376395898008,29.20996214532334,28.294523773835852,31.845136321330234,33.33640512782378,30.50489647307616,32.39625314489983,32.89865193382762,32.721014041663324,34.98592982384291,36.78372539211717,41.01427504389419,42.72676204717387,43.41352481272439,42.42410836834913,39.335071075321686,38.85699532006592,38.103533820254164,36.00154308153933,32.5901610604423,35.35105031604255,30.520954065204805,34.97952580938143,32.383754822016016,27.098027013855337,28.886280854461248,27.202666658411754,24.826747254257302,23.045412039396016,25.68760769846865,26.317768356890532,31.49080104061228,34.83381640256033,37.58645613786848,40.20946453876701,40.12138650390753,45.021139953434265,42.35742063771828,42.94425712260911,39.3863610709493,36.836719881927266,38.240557719792314,38.656549203511936,35.78375529950444,38.56423120596367,37.96172768111068,41.08513107979936,37.10897603157182,37.48052874825928,36.092346633096696,35.00758684099869,33.203019972722515,31.719279882658974,32.55399251307807,32.658646493480916,29.21076852244692,31.879288792331828,30.185651914089313,32.06343359598176,34.39181533476673,35.61082874781258,31.83187620105022,30.553944380954633,34.602744011238634,32.712956740443204,27.113539287961387,31.19929532617961,35.8073854004741,30.61891153395116,29.871477759647682,33.73116833398318,33.57785185992929,29.480725420601075,31.289076413243624,28.919147336808713,35.01563847408987,30.125823610149773,32.166094211325564,36.23038415181642,39.013428701344075,43.35420103875378,43.956072594036726,46.3537999812737,44.100528486370784,46.39264809359559,44.48804423189836,46.818432572935414,45.07081976047672,39.28423157127451,41.877116190956585,43.184368678794,38.640110254810644,36.95187011764266,38.98099526402345,37.14444014225999,33.422264728349425,32.745467084634356,32.245541405898656,36.365851908394255,39.61375717775134,40.54721291169815,43.850268734072436,47.35762141340535,45.52247128586172,40.94432285840887,43.820573009979505,45.68039310506212,41.09721017857606,39.368559327587626,42.883051371115016,41.97544909859845,38.136790304929676,41.897428462734986,43.595192065719075,39.77664868882637,39.44893920839822,42.81017858999072,40.47992043780536,42.76164068774039,41.44123019632291,43.58795119347579,42.00559577946229,36.756855935197834,38.92755998655984,39.14055379009126,36.09131354236095,33.75851882460065,38.03787271945096,36.02359813262093,30.94864105629134,32.202054838521,35.66673023654804,32.81052245549674,29.06239510892377,25.530992893297533,26.463638401949922,22.60178143279765,26.625486386406937,22.847448440111894,25.338801981468404,24.3643204824271,20.224559736024858,20.35333274572743,20.20869263016691,21.33935015843458,25.61748428349334,24.250797546493843,27.645361539687475,25.503373317481092,27.65343154240634,32.96245540289843,35.592303913448774,36.60262792541863,31.474997630310202,32.53280457345354,36.05903496251423,33.28562935341973,29.867602674159517,33.170507365217894,36.934478227839115,38.17614461293495,38.33879415783827,37.905303128238984],[28.091720414117066,25.32308235070649,24.020227928590913,19.297013156182963,19.460955777585028,23.708104084041196,23.628177520582813,28.17735380161413,27.762688500379,26.557224347832076,29.745774715478273,33.27025169437814,30.061560382433818,27.939337397475086,32.85484728771904,33.63125566291552,29.65809292650687,32.647696137574385,32.02908836970668,34.11738675392299,35.77748168250836,38.790640088305594,37.59757148338792,35.285397222092506,33.02270032663126,30.731067918702532,30.12762818266516,28.547966957171262,31.90004159167537,33.80913595326498,37.91302025247799,38.475735784720634,42.70093623963321,44.83485703297622,41.55907040240539,38.1806585405149,37.91935619355903,35.276509547474,33.299044697912656,37.489490936294736,33.057763505611796,35.33547871826287,39.02730310303486,36.62262428829079,37.55238072185351,35.19010803746737,38.76717988793077,39.03032602267197,34.00379724953713,36.211273158710675,40.30532130350872,40.22711857650964,43.38538187567015,39.95589051982637,45.526149475352355,47.5797228763478,43.667245871033955,44.50308370520868,49.10174208637617,48.03020073123467,44.530609814810816,47.37748826549387,46.88285637482686,47.20808720965036,43.94856307269556,41.5023236114951,38.95378767073395,37.850346661090214,34.85092702956572,35.07221838209798,33.33117210552016,35.84125070151142,38.45124469996138,39.8829623466704,40.683848972862236,46.722440963980624,44.273665886929415,48.19837301873475,46.14700470011085,45.74836164151971,44.990650380073994,42.77424256665523,42.308688646999656,40.945541439810384,37.075748339160896,37.77078018584462,39.164866066801004,42.21840354071754,40.9456192643652,45.94520289613223,43.619730555102684,46.81626521788654,44.567944277045584,43.813769123908514,39.49343583559235,40.97160561750259,36.95864315911848,39.6276846937829,37.878244657370324,40.973966895106265,39.9169119605641,39.400229109124865,38.69662162968171,37.00621685707869,37.12862651457148,33.4214815646266,35.6949812349925,33.02325295396411,30.42774237861389,32.034416591112425,28.13301694118166,26.825386963457895,25.47290661601029,22.963515039840328,24.01525554925017,21.262026683557806,24.15687062187276,21.714262663625895,26.790460699307474,27.980162577270843,25.108781583997843,23.9704318421302,19.217921396332414,19.33547769859108,20.31237095688851,19.240296579882678,22.004616809131804,22.86373031259524,25.243814254559485,29.08745870372762,26.53516352418056,30.923169162282743,29.57045527606078,32.4986432680847,26.746193055498463,24.00966642824033,20.211571944407716,18.60345152185993,16.49200978455807,19.90879040140434,18.366427123758143,22.590821444577415,24.646795923606106,23.71184990481257,27.327855933078926,28.686182753788636,25.87777563637944,27.85002632950067,28.58899669411525,28.481325567189103,31.08123454564853,32.83742985954462,37.23198345817261,39.070408784254035,39.41386509338827,38.31183705855218,35.05949340458337,34.7567753784761,33.717530352750416,31.92278894818042,28.39754091404452,30.895366359675755,26.167104671459512,30.71099818796506,28.495804833826003,23.390901344922067,25.649881242756177,24.433290371508292,22.25440623823597,19.846888587809186,22.43515363401348,22.514201037221923,27.64404804578421,30.845379661568796,33.41395065816781,36.07086878519592,35.71637868973272,40.74831317978277,38.13005527038166,38.922151222309864,35.50321938518982,33.078131167655876,34.83795425484746,35.449487078521614,32.3921498076099,34.87979534713714,33.95666983659314,37.34085116216513,33.570916108879835,34.23235913824899,33.20708088000114,31.885392110307006,30.51714518715884,29.108822704437834,30.21037657334495,30.7386284373288,27.155399261385192,30.04248099096185,28.608313598903525,29.950189537819586,32.833921503670496,33.61019694253192,29.65321323058355,29.134603365060414,33.230637173158094,30.947401688518966,25.801757867138193,30.28629080584731,34.519122744032394,29.25018552334589,29.07463265672587,33.03017983526999,32.38296270086465,28.58487203803915,31.07859469256334,28.840289067039183,34.99545600289228,30.764358438185162,32.202854948505895,36.27583088966671,39.25019279426622,43.51381116151037,44.1440420653232,46.16390932542438,43.62004842629787,45.62771571428655,43.2771584616725,45.85108388082966,44.532458945207,38.46077457025395,40.7597130592709,42.58814737974827,38.21596466790447,36.074982212569296,38.02952536203571,36.91017512915607,33.16829899571445,31.680985616411345,31.157248171723154,34.54611329682749,37.97961723934354,38.977510312263846,41.910502865191795,45.504186680242256,43.229929812199096,38.86318841643321,42.05688828751261,43.526356484553865,38.75088580671348,37.51268747957865,41.016015998089976,39.927528938134536,36.36485991178359,40.48930508834877,42.062993252294625,38.19260383268554,38.36406932124767,41.888624367523924,39.68684759892121,41.82387381097743,40.197699736356654,42.66616286842549,41.47921687038231,35.97581521288987,38.10727200616155,38.87197062427287,35.90192592006808,33.239650576902385,37.92922412388722,36.45941470990329,31.12079277247857,32.12425494560455,36.16047089760788,33.75686084342062,29.849259678282188,26.103684587739146,27.927590066933227,24.0791676000303,27.83722394999882,23.482249073000375,25.177531915805083,23.56009413275631,20.09337453875004,20.09155334503164,20.585670677224762,21.05482282290528,24.902708549930274,22.49975468623268,25.554216192433646,22.744095841617305,25.255423234309234,30.26425533817153,33.16000438394597,33.66975121014368,28.616856399930594,30.27414183844965,33.56290807068684,30.247309091848823,27.44174064908468,31.19024098344787,34.87283106729864,36.34082335745376,36.76179599392174,36.58517589985291],[25.908351150352246,22.667296019723587,20.42204474476536,16.591328836100377,15.622113397699339,21.121519688090622,21.302427512369405,25.754246733041963,26.382283293715577,25.652156174976724,29.210181030806183,32.178532538735986,28.911622066863146,27.754455380791452,32.61167833623597,32.872404870820205,29.068580924833217,32.43574436652173,32.441597264087996,33.78798986853745,35.8653214674227,38.48148420548454,37.67361486428597,35.55722067827868,32.84449760482777,30.91001776965194,29.511077276540146,27.870633332297565,31.00797768461296,32.45255298631214,37.42834422384719,37.09466071661261,41.511331405135195,43.85320818964403,40.262042401199075,37.14246980636957,36.14008615066165,33.82012549659528,31.612072944019083,35.27211190239573,31.48458808855831,34.42425645188067,37.91275931628873,35.58337724673621,37.026731632910476,34.78552054580037,38.206093046639154,37.941395596500826,32.77880672719951,34.561171152097764,38.44747537568362,37.891666266193006,41.33349316523387,37.88250079017503,43.250506827247264,45.83187662571461,42.29752502538792,42.920611742484304,47.57601499856697,46.92110209421253,43.75109595246763,46.78522257765989,46.3098835394607,47.20966151302555,43.786481213971726,41.01457211709143,39.28292310995298,37.93153235368592,35.674557556326825,35.762032244906024,34.536900681224076,37.52003588750759,39.509150529813276,40.85903732727071,40.96296148572826,46.88950294883113,43.91810008330383,47.594383160314294,45.14487463041882,44.47650781440116,43.16480778463077,40.54449223828667,39.61820241591102,37.933413583723535,34.391077348644856,35.4462576075903,37.48574386061327,40.3276701533968,39.88080620929629,44.888299153748264,43.10143090130512,46.73482935958197,44.45929207928926,43.40403617331144,39.05733908791537,40.87802271358826,36.87514784865169,38.657603645178504,36.54545173476294,39.11004400750785,37.88379101873813,36.550182314560686,35.957294505314856,33.52773312407734,33.1150968889038,29.24626571810411,30.978816729439515,27.97499031063687,25.412117944336497,27.5171264473545,23.919945854905617,23.14470611947024,22.631988809947156,20.39450992921319,22.667090473683732,20.266157360620486,23.678332991585158,21.732539996344727,27.503839564412793,28.256234911536286,25.809914204693506,24.244781146554736,19.53597128945295,18.73184915775518,18.927252245742167,16.596608609249948,18.388999596342888,18.813956248285656,20.553547784357452,24.418629771591508,21.23364990227735,25.516915381392675,24.445981491111397,27.702971827750254,22.06841949177595,19.814411437629165,15.26114450097814,14.880064793382179,13.988844278279446,17.73592204316583,17.63277422151348,21.959190874192874,24.02518876532381,22.427822151419804,25.76708399544028,27.109872736932793,24.15989702284024,25.798788407963624,25.87716275347875,26.055159044917765,28.002749261112918,30.42613520199458,34.37838815650453,36.79834515753393,37.39934209337947,35.94633616177349,32.87276330315391,31.872320605690753,31.297629142661137,28.592870968391725,25.241835747892537,28.475574464527718,23.769972741906876,28.149439274818068,25.374710331282945,20.464224229154215,21.797385724546366,20.7108162200179,17.80363129978673,15.871390168414607,18.15117869212999,18.93759969908582,24.061564025773105,27.401769320038362,30.247208934826766,32.72867497899003,33.049949836099266,37.687626929608534,35.06843723410163,35.3885667348937,31.935556301196993,29.059426491102872,30.475440686550105,31.067849485321872,28.30225429633012,31.550276400348693,31.29778992775143,34.59938364000645,31.269105143702195,31.115878694001978,29.744758541771,28.12376460488848,26.13960658839409,24.31742421535335,25.038223500827826,25.177919069050713,21.478374044744033,24.212008222309606,22.710735925702455,24.364105853573555,27.115236562945242,28.247844697767647,24.425987450134507,23.632648077114535,27.875680391063785,26.047962797924946,20.832737473275856,25.22777146084262,29.76559753469353,25.01338929267566,24.791291907380653,28.79846674475183,28.62199819283748,25.157353374179056,27.441391209192957,24.812515488825305,30.826384486460288,26.17956126315453,27.280935991681254,31.431107049053768,34.036543409952884,38.47790483841715,38.68038946793271,40.606394415438054,37.93161388049429,39.833284752252126,37.50004136918721,39.912540395610584,38.61485997179292,32.56208577706639,34.799255243494365,36.54570809314218,32.1990001312822,30.041837192115107,31.990346022561408,30.88537335749499,27.14793713856553,25.66113265887975,25.169919192717604,28.734131851830142,32.12145818325101,33.249430438172375,36.334989430539714,40.03568922916308,37.97490213315356,33.48091102570039,36.78461155751071,38.53366522128919,33.880418305135976,32.52750569963451,36.321484013540335,35.5506810421912,31.917046141187203,35.83312688293165,37.76209561091377,34.282957418587706,34.08846370142854,37.421645855144746,34.947629345226204,36.77063732250026,34.9438783337309,37.183917310973364,36.23489438173563,30.758413036501523,32.50961021023385,33.329547730801366,30.527327929012436,27.566860764792978,32.140062096473386,30.94027414996276,25.589462678472856,26.25848797681877,30.41576812603885,28.32083800240668,24.40173359652486,20.841608161789544,22.984547096498662,19.541028835963775,23.45104406991779,19.219582251252014,20.461160654588035,19.425546815381985,16.134459344026098,15.298930010146792,15.477752186324581,15.414181234309444,19.240747116194044,17.08223029078829,20.049001512646868,17.88323628334645,20.65469155128055,25.724465897577094,28.63194590834135,29.667203009383687,24.684241514400284,26.27874420657905,29.949667215957643,27.133090503059503,24.36173068530063,27.836813853007687,31.872490137042163,33.31400650729395,33.716300897285485,33.69089827084002],[30.131394911607718,27.020373600422655,25.031178267750803,21.22643004218128,20.506990015607126,25.974673295413268,26.089507633477346,30.54417029157142,30.976349891238733,29.95085018413377,33.39988671801254,36.569573015083854,33.06214832228616,31.63989370274292,36.42129107743403,36.7293079474938,32.647094066281866,35.62189764949889,34.98444108492271,36.423628860419406,38.01484415892089,40.49010322591496,39.305095401214516,36.803186415765765,34.547875910174774,32.882345706134814,31.9514915636997,30.80920957620941,34.308013367218926,36.177425607884494,40.98029175823648,41.03206099045925,45.445097141643515,47.487735563459445,43.867713964176126,40.492065118332974,39.78654955004665,36.89334211797631,34.475343044668875,37.8432249358273,33.64984544401936,36.70575577989397,39.991307826278074,37.26467438495978,38.22230980887619,35.59063109571977,38.85664088364921,39.12450153241363,33.985511420942004,35.4153554808761,39.72001429812684,39.48565774454987,43.085769836387065,40.0248772712961,45.479531117869676,47.70749383557291,44.15635468287597,45.30305950397902,49.81332815660655,48.6851089983314,45.75069222794784,49.05016062408773,48.89134965898328,49.34668698942635,45.80704064985974,43.43981205439948,41.60401237604541,40.69973619760434,38.23446670959324,38.734601397393305,37.25319334454112,40.04035179451084,42.29457927626345,43.334127905311725,43.88879770834726,49.684566828580444,46.72588076587261,50.62636704757906,48.14883469118071,47.2571800430558,46.296500292269315,43.513699631897,43.026928345222096,41.04929438860388,37.37972956255448,38.72323601621441,40.47776025343539,43.74821251168,42.9662456459327,48.24219316022856,46.35538050015007,49.8970707355689,47.837773945036616,47.06351085478812,42.83050099621424,44.67356034746905,40.74344482560923,42.7700450689469,40.86397052894801,43.67176837802301,42.202496759537134,41.08203268253432,40.166739008472355,37.91514567723899,37.13786390268234,33.51327528631155,35.15085594171427,31.97951862885136,29.718584592508293,32.002546691807,28.60332362886719,27.642547198491073,27.259820439325765,24.70633464408611,26.677003545906036,23.886299009260867,26.890239576779788,24.34926936681286,29.765998799668832,31.186031292345238,28.7159288607067,27.616363458571858,22.806683552604632,22.585484582089688,23.291713989561067,20.998714007471918,23.18764246297402,23.31284240680085,24.91503732547838,28.445580784658514,24.990011190309016,29.002581655823732,27.542716400888207,31.17621700394212,25.429463200429986,23.601960596892106,19.10580008219443,18.63542944212346,17.500239958613975,20.903558592488903,19.70568935629449,23.501705243666684,26.218494429870958,25.17537400411618,28.49834773158017,30.393946459705784,27.650406352074626,29.755751152169733,30.130499718039864,30.5740280517026,32.70651675138045,35.17733116979719,39.18987609664766,41.62746760434055,42.11812251637723,40.614338913822685,37.41230536241322,36.45194090606817,35.603931448241504,32.9060703049942,29.13048946054081,32.03341527402845,26.891709162157294,31.110187924522315,28.01055763513642,22.588226425204663,23.960994665896582,22.01498091804391,19.59746001383468,18.206497437677324,20.94724022923359,22.064694404764133,27.216657102878916,30.73561939945379,33.77220140508282,36.555681413334916,36.951939747155414,41.5369462471143,38.55187562021791,38.93780768269019,35.05736901289618,32.74428477189577,33.6054834326357,33.75467029566549,30.986963448181754,33.90913271178445,33.664597624762926,36.51680841487498,32.52742899929072,32.540763935328926,30.93622038100357,29.949273696661667,27.94915187529484,26.541641382865915,27.404992443661655,27.5897198848915,24.464338941982323,27.380389599781378,26.162426567489984,28.326089508154595,30.9186523813845,32.471320450696275,28.78869193362727,27.638248607937598,31.93929888905132,30.473734268305517,25.053054807301592,29.186552997223234,34.017163112331126,29.386977377939502,28.833365339976908,32.79283919618434,32.92537558743717,29.267637058223325,31.12121503802499,28.369094737910345,34.353331630364835,29.02854033760774,30.58531032583946,34.76891667654015,37.05539476183371,41.66137737600043,41.58551855902646,43.77812990058811,41.20862781024244,43.1815843161136,41.08806523106628,43.11404907238588,41.61911340910214,35.80298489578496,38.008346388707125,39.210821018614695,34.83422904457686,32.92766432561152,34.56200972657139,32.94755777082028,29.471825209646276,28.21682227731028,28.332534975203387,32.22832459892069,35.5761097242913,37.00141278955532,40.278847778609354,44.09133163452761,42.22755817487721,37.65573503681371,40.99723924008506,42.97219209393876,38.41200136482897,36.92780976246264,40.81479821483867,40.17400681046202,36.44078860601765,40.157390881374596,42.203390417709414,38.78092945802808,38.312302013900336,41.52681417096133,38.922129800295835,40.73498259095169,38.98436438640144,40.9189001404733,39.85818823481005,34.56627488398652,36.105250031196285,36.57350043491874,33.82082731155187,30.896362537784807,34.97745137662162,33.50358514633478,28.404726340862403,28.906276263219766,32.54890099043438,30.244440930323538,26.501523064687827,23.37082210623349,24.529995228144784,21.290274258078515,25.710634332478406,22.06909791457611,23.959062957629595,23.46066641935626,19.648946186172303,18.81570916945425,18.22940951928518,18.51052867463165,22.727800502519653,21.312671317375194,24.19414130127028,22.4671991510283,25.34923268317071,30.43274210604573,33.3218580986165,34.49551231332732,29.538559025634232,31.02341089495956,34.76778589748438,32.03113903350319,29.13587022850346,32.48659138357853,36.513291722421656,37.851816930126205,38.100894150153266,37.880769824074584],[33.310196901859875,30.42984737466245,28.793205135011657,24.307003374526303,23.781955775056826,28.42290441780442,27.978259647340636,32.393724847025595,32.06314599888181,30.360122167826848,33.47661921180089,37.06983763971187,33.30591115208502,31.230752232278327,35.85772876662576,36.43395392990501,32.08375201119667,34.519387110602494,33.142140744502356,35.05510157981146,36.13017564869254,38.794756258690406,37.21962837697943,34.48130400172543,32.717503172222315,30.929906880555677,30.747224671613022,29.905506866878227,33.69487977253098,36.115415711330975,40.22988314754748,41.10354816759813,45.36544668526527,47.027946276596595,43.61287443059102,39.931902575197405,39.919289218035054,36.507062083165245,34.19486015005861,37.86245411972957,33.049753628243295,35.58762351446151,38.93003923387648,36.0579692680092,36.47811754461854,33.6989657925402,37.04212809988092,37.84158730230092,32.87690024486927,34.635540948032656,39.13533465434492,39.39620979175877,42.727081282648335,39.7852480129149,45.40718863503048,47.07027690418636,43.21172573560138,44.67453765242561,49.06805819096358,47.4719010737295,44.36015591528795,47.589611013429696,47.54936288935194,47.41786365030861,43.96871150017592,42.01026321354414,39.609931918217576,39.102622234995316,36.14140849412228,36.98965048128341,35.11875477518185,37.54013548818752,40.202868315051255,41.05146751308105,42.24773217520651,47.97649983480027,45.36340602610704,49.51937094531158,47.31162963086896,46.518612740601945,46.14370188787612,43.638009639670926,43.729215788989606,41.92997025591155,37.94334854391438,39.08508339402588,40.18837486253753,43.8031552748995,42.25211870895296,47.63624620517171,45.35927360352928,48.561316283106336,46.69078620120425,46.308563414163416,42.231324692249984,43.93605955874204,40.133358361890686,42.77374929537903,41.30293475803628,44.695814059303004,43.022146005458296,42.70566859126042,41.402250605514695,39.92438942771012,39.39870439387587,36.10812534495678,38.300209092434635,35.440972331336056,33.3749051821151,35.181838768213154,31.669659227760366,29.958567656622517,29.07294797550617,26.036616211517817,26.990412951689333,23.7630624984833,26.116387759697997,23.003929973958737,27.694035586385745,29.72922779136966,27.10485304387623,26.602027210128757,21.851755725458887,22.537592517079784,24.112918254500645,22.523726631049268,25.85445681192854,25.974503560750737,28.14720194020989,31.433203913647937,28.661230563095145,32.734441524605906,30.7902004077698,34.07928048103444,28.188872576596623,25.986011399884337,22.344933637172982,20.621142541552498,18.459243307004925,21.36567645626805,18.751775517038688,22.168781524126025,25.026309378869072,24.702354090646185,28.154714075108163,30.281457454455833,27.793633507220157,30.39012855349964,31.44795241295054,31.95611445270952,34.75978625695591,36.88308987427172,41.26423959147718,43.498431916359586,43.52990751788593,42.09779417777825,38.61799446628594,38.176791128711194,36.71444796667623,34.73816391028264,30.562541336271725,32.665818630284264,27.37995184064222,31.618893935170163,28.975090738438844,23.373598752473217,25.664225346866306,23.625818771825248,22.094253630634988,20.18167047361264,23.222460886174943,23.66554857649191,28.759818735895397,32.167356770326165,34.99961299036528,38.06708459141625,37.93082995585328,42.78783602341406,39.63514887210356,40.4841645846946,36.506946274415256,34.85676690830963,35.90172168405323,35.98741805166863,32.91295625952922,34.958245206858955,34.068226511322145,36.89373148603333,32.4436483951612,33.296381232311944,32.093841491829714,31.452229173324632,30.196104379651825,29.31468824357428,30.678585388846724,31.45193956733648,28.539637133860996,31.781968768877388,30.90828421748423,32.702247689309154,35.72630537935757,36.93282006384811,33.08699346198694,32.491966464154864,36.78574391103908,34.929486050043046,29.760142957239545,34.14111320128925,38.67271556215289,33.74090181480969,33.47003687793362,37.45468306834307,37.11949431579019,33.399974367153064,35.648288434431976,33.15566776279934,39.25095800809938,34.348061249771185,35.86935277606678,40.028836354480205,42.53826387249439,47.04925086919852,47.13639227426052,49.23246991922864,46.57817278415954,48.44037644089767,46.113329648688776,48.24390794628171,46.96554525494572,41.03087746267829,43.042890421303134,44.44466487727021,40.17576186387103,38.05094852337133,39.49800298441491,38.207144598045765,34.83726405225316,33.07295014524518,33.38640140006769,36.76833026369493,40.26928367938958,41.79869455950606,44.80447650792279,48.67893787999441,46.453701203815726,42.06424778058419,45.604770623291486,47.24299260944756,42.50365781457972,41.378709454205044,45.14871364897021,44.25902437049109,40.70889383293724,44.721206569420346,46.53573018865522,42.878990704857124,42.840933146262685,46.23166360012316,43.811560001731415,45.70207732411436,43.87752703124881,46.04668115186014,45.078975656647074,39.659177119362994,41.306259468143686,41.99071655365811,39.21255300403319,36.242789280905534,40.49200552593732,39.132335986480506,33.96236016915727,34.42733287154292,38.193349498876515,35.947714229052785,32.18923387858279,28.958544804807826,30.190410433108564,26.805322940604967,31.086823238578894,27.213474361047755,29.054120653865215,27.997029413202572,24.34964295789804,23.882355813414406,23.686175794829197,23.91945623545065,27.97106942629399,25.92238227673607,28.593568601300532,26.196211377744497,29.278357971772706,34.14025756735558,37.220440353052005,37.81555054374065,32.88220122675778,34.78660588202445,38.200801985067955,34.85447469297768,32.327603529598576,36.07159803362288,39.8509393436387,41.31320037806901,41.68204286747483,41.463917793173025],[30.539909582322124,27.34995592401183,24.944166262823458,20.723885292244205,18.977829456332994,23.893635110058817,23.032642721137485,27.251120527495967,27.370536552372403,25.57342691447769,28.87448830246869,32.18153072729313,28.13869382109221,26.657481436984764,31.174774728150044,31.376108189117307,27.04233472300575,29.698928905381862,28.797140139177248,30.236348623544192,31.728290789526724,34.257336653575564,33.07009167306451,30.62378638964462,28.323780919836544,26.584736117879775,25.77329626799725,24.770145050116742,28.445571717509768,30.64854548092982,35.28638559030693,35.68197483861243,40.063782223873304,41.799751218551386,38.19349439951734,34.63803798400285,34.247794593995515,31.016387727918527,28.633325211444085,32.25246085152426,27.78593307013556,30.589027585173948,33.966817995190425,31.305906063263055,32.26185724061981,29.773316392797014,33.20788426798311,33.406800234227575,28.306622407511057,30.210205715313734,34.3937103015461,34.30697591420107,37.64464916158684,34.44035683000236,40.00352922724636,42.042398517803214,38.30045658224821,39.42609799919674,43.94175269296356,42.75661134506289,39.64045504856245,42.8630879974861,42.712483700417344,43.0688578467639,39.55231986800336,37.23532634553761,35.333593227023215,34.547628121612895,32.120757874835206,32.84750707715168,31.388682329853808,34.253689925662606,36.37983582331576,37.19885024045429,37.8266205426661,43.529266580278424,40.57004242676644,44.55624207363988,42.127122901009464,41.26159775975215,40.54445228785008,37.921059569349794,37.756787962311165,35.93943645257426,32.04590680234751,33.228923635700625,34.64763905416763,38.11148258452317,36.9896426597492,42.36814902850663,40.401211849899646,43.905328208206605,42.01193957194426,41.456385281313324,37.38516782954893,39.378723027039584,35.628043961326675,37.69653637570715,36.116637429392384,39.38626853284552,37.402505141069334,36.87279763247044,35.437037794805555,33.847281143525876,33.166553640352966,29.953384031227415,32.21142741038522,29.44370200057059,27.560522105227633,29.25173179274135,25.93080870450408,23.97434291933665,23.42802699818565,20.227956543208524,21.61791180944939,18.435637057208123,21.04930918580586,18.228445068254636,23.551955758736487,25.209136085088204,22.888207194050597,22.134651236766416,17.36242506067733,17.623333602652814,19.096711349102737,16.813506560990078,20.373851860244798,20.032272045862232,22.219694572876897,25.308167850658048,22.81145951006928,26.920230364090006,24.903325369638093,27.96771579921143,22.08270261890756,19.769213414508997,16.379674785123157,14.406175106088432,12.389347062957818,15.404818534910952,13.549061592486451,17.398395053300025,20.032768630591004,19.212488313721845,22.610802882491594,24.654786833025174,22.07962858284484,24.614884110450113,25.52275047625866,26.338143435652086,29.07917159354752,31.581561826657186,35.8219209572748,38.53158002748319,38.393317550790584,36.62895122379022,33.1044898432759,32.39012203143046,30.915517920775784,28.66212159099652,24.412015890680173,26.708527124654417,21.43737794442003,25.71357054064353,23.047688620416483,17.620699162406854,19.906752075738606,18.422945448747647,16.665575443409487,14.289040049579036,17.19587988952011,17.48597256901442,22.60934313125134,26.005254386594352,28.860628285757876,31.885618142106214,31.92148575089137,36.673085383508905,33.53942811845085,34.298760505879244,30.403360168970725,28.617175123832403,29.795582751600897,30.063690916431778,26.951964997089718,29.19382002067417,28.40087384418306,31.494098059583102,27.524966036919746,28.13427588803086,27.079843344099082,25.96410741564373,24.775724855187025,23.725188912432913,25.1666934696317,26.172151123372416,23.10972703314396,26.482490184068784,25.88490318562005,27.312296847419475,30.769484605651083,31.747892116429302,27.874221248910573,27.87060772156027,32.212903804313164,30.29030414483072,25.626724892175567,30.20983575582819,34.49064081905762,29.86870005089561,30.079517099395563,34.099209630098464,33.598895466044915,30.385855677454845,33.05779568748528,30.51618714924609,36.48445807079573,32.0035821502543,32.810010827343156,36.951979818056095,39.404127641612945,43.89282521201358,43.77998271601594,45.46575499969624,42.50446057531357,44.032676702703185,41.3246908185119,43.57511142581116,42.715810968775166,36.58970935866168,38.2678278066789,40.10430101673835,36.05358508477441,33.51763679140424,34.87260839352243,34.28837548069683,30.943800442054172,28.417688881597464,28.747988032183088,31.462000988860403,35.08382489486238,36.743279989123536,39.45525755538052,43.44363638144298,40.94487941656448,36.72303298030374,40.59576769863557,42.01689634751543,37.21420190157199,36.500977291112186,40.38556016496938,39.52433147586585,36.2313182215224,40.40264298533917,42.28734691462922,38.84932961334278,39.04740915786768,42.434946552927705,40.00602697738199,41.57194599305675,39.379548332995434,41.68956653806315,41.21945400365514,35.657998037223415,37.03375121702158,38.23971704820813,35.66083043966217,32.28104927695125,36.775498549452,36.06521812865577,30.738667768556542,30.79091976967652,35.083816793949566,33.43049854836923,29.586920614846935,26.33412975026501,28.46172256142746,25.34097252403454,29.380309178962,25.178862169246475,26.086241451046916,24.820691780545868,21.94222353744769,20.97181489733849,21.143835931355166,20.52221468640861,24.0316282434341,21.217305282577353,23.377186073130588,20.75219701681621,24.327692796748043,28.81744452853043,32.12412311834004,32.53828971036527,27.797802699878766,30.216012198068018,33.57574792144224,30.05742637568126,28.18052413754528,32.10438033715723,35.94966851340566,37.57540969086566,38.14885058108344,38.22930475821724],[32.00751198050122,28.648156932861966,25.883239194165707,22.232827005714253,20.041499068642615,25.62721983841163,24.93401262001271,29.056050427084237,29.689160644628426,28.058555700793505,31.482002399200184,34.54182205854307,30.380607685773857,29.341946646191996,33.73913528661969,33.655383268734234,29.31532252529605,31.933336260127838,31.032275334517337,32.02840703002506,33.450358021310535,35.587017432552116,34.409069701331816,31.85050556932691,29.593809534110974,28.31684761432549,27.29972683778509,26.61569785674564,30.33005530602106,32.475623790317584,37.51531572923205,37.57830963740084,42.04667360296913,43.71531453937591,39.91202695271941,36.38870141037822,35.707903997607225,32.336340867471534,29.67191534547483,32.66917995809715,28.404909275332162,31.732938683928058,34.79087214587822,31.917227637626294,32.87668330962246,30.209335694627633,33.39084186276968,33.59960827176703,28.4550708142262,29.768256067800063,34.09720097350125,33.90447495517993,37.548920077324404,34.62972572037693,40.08646934875111,42.23030309304861,38.757983074959625,40.10366141245166,44.53267239123184,43.30548372607142,40.599749278132656,44.11406032509163,44.19354247877088,44.62745382389867,40.946162375933234,38.70638202684699,37.29224396596877,36.64748823876731,34.582288014427625,35.47080210830952,34.18154602797484,37.176785706131476,39.07784478531652,39.64976961423812,40.12233648830702,45.62763502650553,42.36077366502994,46.306628699352274,43.61250067167621,42.41999707116818,41.575113870551014,38.57765238707699,38.40844945969883,36.16967467509397,32.4383481470464,34.07199659208209,35.72332857561551,39.31281195208944,38.52568552503928,44.049065716363664,42.379674482835654,46.07932788759741,44.316599834479895,43.75003894858602,39.75927615013272,41.95696835030059,38.277736486039174,39.93976870212985,38.26696759719912,41.32623099700777,39.10534506321838,38.18555518374177,36.62314768362134,34.67206802672938,33.37909439317906,30.25456129545988,32.06762806679324,28.974097304670355,27.355278983486123,29.488254326207702,26.537409452653243,24.835314879630296,24.93789661179759,21.78469199868966,23.758576550900806,20.64829018155181,23.27937487542822,20.480153768204964,25.88779545290693,27.658223395102358,25.62130621045515,24.888648149221204,20.197998791242156,20.21480057964409,21.436495467312284,18.45566720552308,21.523856265864012,20.702538970829224,22.31895551091423,25.13492697689051,22.030229260032325,25.837826547917487,23.703351609795792,27.266938937635313,21.4102312253216,19.807014714617857,15.977576060082088,14.88926076548556,13.705418966602224,16.58481703496784,15.065316114476696,18.428567288210353,21.494959275373855,20.622272013126906,23.732885375119913,26.124241983595745,23.640176530934795,26.213210428870056,26.856715225178142,28.012807673955386,30.412475447576263,33.33949713477009,37.30786039687038,40.363518461733555,40.33042758506947,38.33510232961046,34.87480634974765,33.74400491673598,32.41451173131771,29.580650180919015,25.20469154078582,27.75191269297039,22.26052550112775,26.232837134781985,22.93405712184566,17.302076953557552,18.87767092812001,16.777311967670197,14.877092907176054,13.345149516876244,16.38610081732992,17.49415894054113,22.564024414572796,26.163653740805348,29.3312795521736,32.42648500618128,32.97789716315173,37.38873828676746,34.016135560174945,34.4910557049759,30.280054273014617,28.609047547947675,29.12268729528673,29.039331027379923,26.13960911398703,28.67006054575174,28.376087427214614,31.053582061270763,26.92178019418327,27.053405052523544,25.565100631720178,24.722894485284705,23.078993887139003,22.06520241812211,23.369714776111277,24.180253744905027,21.494942442392233,24.924368281043506,24.542063427957974,26.51032051741179,29.788439193279928,31.269181233275628,27.60040026517966,27.21455764768154,31.665677440467856,30.275530044955985,25.493638650827457,29.826282516367716,34.44423688590737,30.246347565178763,30.234055714432326,34.230638780861284,34.19635605609762,31.081422063783712,33.36641970405559,30.542582278891306,36.37027283090829,31.27608176107102,32.120987907819824,36.3041844808573,38.31102764412732,42.99646110600801,42.42455936545219,44.19541171234642,41.20898099257414,42.68845426835187,40.1331752405846,42.01337916108394,41.069546702134595,35.12035334673597,36.696463013738274,38.12731218207733,34.106436362760256,31.6989593229042,32.794625229165746,31.93567249744974,28.80803602435211,26.342224413201812,27.167142204266906,30.155755137706933,33.72235729183078,35.68903377176288,38.60398490136526,42.73575189988153,40.49999587322143,36.16608799468141,40.13986886090512,41.87411144454693,37.226985764041274,36.37272956421622,40.48641561797265,39.909052563192674,36.527924299272875,40.43072668770496,42.6007643050736,39.450208408948285,39.26102105057207,42.44601515391101,39.779345162841665,41.1279868268617,38.85167245798803,40.81551810581594,40.45074990600884,35.042669756189916,36.016159292707215,37.05380520411334,34.639423987025474,31.082382791652762,35.16464759515539,34.502839062948,29.35804674034153,29.033809287528776,33.07874412233559,31.55352901936458,27.846571173468746,25.030924549650145,26.77091381249228,24.098484298697585,28.468191106249105,24.726164822015104,25.70312173528103,25.10707148947146,22.07704587698793,20.626623421517323,20.162876435569686,19.352623585552717,23.011154451266663,20.825076296266587,22.804031399330032,20.93108603385844,24.717302791388594,29.20693426476091,32.48947904860872,33.32016257519638,28.67645224273677,30.963194357944374,34.581841962588236,31.449156866619415,29.507547918557364,33.16278854613799,37.19382898986537,38.73700909934155,39.20454149039417,39.2574468368151],[35.52498315724859,32.26798662413696,29.71248740709819,25.837361893293384,23.870793197133562,29.200710441832193,28.323576376652735,32.424646112991255,32.7329597785737,30.74722465134511,33.99311123606146,37.265466281101865,32.89846419879831,31.54508430276194,35.799626212584265,35.801765924760346,31.247894814278784,33.41976646774275,31.886266279566374,33.0378574518202,33.95716148724169,36.00774632391611,34.470053928916066,31.59067947768168,29.826215757917826,28.744729254810625,28.27842303512124,28.04727154336043,32.03451630885134,34.59477296774348,39.29348276333842,39.83314257358623,44.22830483976055,45.5699740246765,41.824612220130476,38.07015732486196,37.79202861602371,33.91439650580132,31.17229735228755,34.02140296159889,29.34046260406126,32.54964435104742,35.44212409937737,32.27193990046297,32.711997975013524,29.7407714725234,32.804654423319825,33.55837694339949,28.538851133340884,29.69592854405485,34.33848335740713,34.54328064152126,38.16781846898,35.582521479057874,41.100612712237506,42.80508500848367,39.251397159748564,41.04826547816137,45.30872161781592,43.6188411095625,41.049296924863135,44.710909233419954,45.051067745780074,45.01300388786398,41.29299408141076,39.471607285994885,37.86586280631809,37.65364362787792,35.363149239887605,36.63526866480501,35.10437209367408,37.86825573307368,40.00302893857533,40.2770305223488,41.211210849213664,46.5561853759824,43.39507312992795,47.539489622944764,44.91016870143978,43.59341142359617,43.16926054265441,40.170725926255585,40.48285196085282,38.13191938492916,34.25237728843257,35.99297175907464,37.23368700569606,41.18614257394507,39.95612916869377,45.657432684192884,43.83371878825126,47.36609597595098,45.82508787723324,45.56260244832158,41.724265572855344,43.9059349801928,40.34235102026377,42.294795894729795,40.889545755251405,44.259483768063554,41.8168100800931,41.27917678258044,39.40060801254532,37.82092119952451,36.406349030689704,33.56789462982355,35.49966842387234,32.45422427083984,31.071303265724975,33.119921474003256,30.248818938371365,28.236253524976693,28.238745080928506,24.815845053736602,26.285923550451916,22.876730075802634,25.008319502766017,21.719385635257968,26.57090733297204,28.94560845467515,26.90998908093283,26.65770934050879,22.015273638990784,22.615660434335464,24.33523534196318,21.63972679930687,25.184049619569322,24.265364553314807,25.982007146895956,28.51631944277639,25.557416759409254,29.17925122584479,26.6999175600733,30.28222502447258,24.431628830818816,22.965767557277456,19.555365227615884,18.052867909548162,16.445018347085213,18.844724684790187,16.21505711672486,18.91646776378952,22.422576928622355,22.17683970877826,25.234252779972113,28.0213325094216,25.796382918834443,28.762920207089877,29.78320820422523,31.09787314387374,33.78900548005491,36.626942154848045,40.727472441169176,43.742359000718025,43.492375768130444,41.48020074557694,37.872143373594035,36.9262329891037,35.251552443777584,32.674872611335175,27.98296869108437,30.027285721671014,24.321209542080382,28.108501032771464,24.82722824904492,18.97669979898967,20.87005989764872,18.249437952801543,17.138380605281526,15.826828482102139,19.08778304655808,20.092902392494242,25.001246821093,28.59281122384526,31.75612448163765,35.09273031504531,35.51282436495664,39.93422241687504,36.305882219311144,36.97332129068656,32.51515979784907,31.444801676767923,31.685460096764437,31.309459159013013,28.34655518107063,30.29658105766412,29.78253726742659,32.10339978390249,27.41736565451116,27.97561657274305,26.516748715074954,26.248687291139472,24.93225470719015,24.41613743588178,25.964639834651297,27.011394238532525,24.779356576421407,28.34834254078826,28.223906027287907,30.29869360356596,33.6111318830078,35.17628226354127,31.53771074022706,31.152005007863487,35.615404964214,34.27165808077568,29.45806316556279,33.75425598967386,38.421313795449606,34.173566757714354,34.09310940255702,38.09142387494796,38.05703231061416,34.820775211806556,37.04232846239062,34.22727263587557,40.097853418461874,34.80787854892867,35.850327466303426,40.047011528288174,41.96529301845244,46.702227651751045,46.02927618268548,47.88927943631221,44.92177166802321,46.384108205130325,43.87217102272089,45.572783387199024,44.617717775984545,38.774552773094285,40.24909864513222,41.45723934941455,37.492382870134975,35.1506317516255,35.99617735721516,35.00404802999623,32.088405748023824,29.58443636336595,30.7773092574773,33.72884410571521,37.29826406733833,39.448942907919324,42.35323127761175,46.55693671510646,44.304229695561844,40.01039187815045,44.06630748710184,45.799542214402244,41.14954470127161,40.352443719860474,44.476124671150025,43.88639411025166,40.51512163127797,44.41908264434599,46.57994431846296,43.38457318293065,43.198706766867154,46.385706235721855,43.70747560846683,45.06744376303294,42.79687510192978,44.68090515509162,44.305331694620094,38.94666879079899,39.8447116007307,40.78441989827888,38.39386537041133,34.84345963966427,38.724248728746645,37.98018711501286,32.94771015765764,32.531363960674845,36.34308305328161,34.75700705937218,31.146690980420544,28.503528482037414,29.8139050401696,27.19317665000308,31.74823506364748,28.17964890337643,29.440362706376153,28.898063036897046,25.651917386558157,24.332193071077846,23.682846925450104,23.055882345774876,26.8362268546439,24.80779928871954,26.71011623103517,24.835135040658397,28.681346933195353,33.11269903177754,36.43863868499192,37.15350471929426,32.53288192667006,34.89058590605157,38.44884908584263,35.16479072142875,33.26631713545964,36.99471267874393,40.96290651260213,42.50449669285712,42.93964955455347,42.906127838155264],[34.774113844785035,31.5812050906846,28.99893311780676,24.796948348610268,22.553482336917693,27.217997398501822,25.79373174214385,29.71324676264761,29.658164221845617,27.22103230136024,30.281211547732873,33.67426654935344,29.109140101980657,27.58057880510197,31.667926355094508,31.715695305379217,27.064874184482154,29.04076772233726,27.361330108652602,28.687188000238844,29.592053388328914,31.857047697850827,30.33554610612124,27.553318930666215,25.705873022307216,24.366884973770176,24.055199325666536,23.78502109167929,27.838348329028804,30.596361996593224,35.00895150748638,35.86585137174745,40.18179720093252,41.385574573225874,37.74640961755903,33.89941966231398,33.918239128105384,29.936041413635657,27.35129474233283,30.634467309258334,25.717160886543134,28.532101398388523,31.63953279475162,28.626973084014125,29.104261245699828,26.327364293269593,29.651979076361226,30.305277593529453,25.31046505727587,27.087838860969622,31.55359767665651,31.864257672382273,35.174372970484974,32.3336094721348,37.96131554642504,39.54085442439964,35.744712602267256,37.385457263463714,41.70455792387428,40.043535918620904,37.150703703650066,40.61969738973782,40.837139342215224,40.742693445799745,37.112070258402596,35.25524019647957,33.405811073580715,33.18524268447581,30.78624482685336,32.114668595266195,30.54839054922024,33.30612279357809,35.43118599816113,35.687384664786684,36.702085735130765,42.074509509442485,39.04518387476768,43.238553246360006,40.756298520305165,39.61429401780313,39.36502687327122,36.64080937438222,37.112807612064586,35.0692716101935,31.006780526840313,32.43252234738499,33.382766476502795,37.36178351893327,35.80947729271909,41.481597350904885,39.495437357782166,42.921646774194286,41.41295095855052,41.266787007921586,37.50360328633411,39.6758274554625,36.20995098654701,38.32155574839694,37.14124001690783,40.81250860556365,38.21165447459758,38.15800580540293,36.07221035760172,35.018406152544934,33.94909956642511,31.313936975415956,33.75401502494614,31.10527520209277,29.803773381262364,31.321411569651946,28.376189250091514,25.769399538402876,25.431582730546133,21.706929796868643,22.574810867778556,18.970894006878275,20.772923304890636,17.311034530936155,22.00917987355333,24.48585025831501,22.467347699334894,22.44558363300444,17.919142833778604,18.91955053807602,21.138233747396402,18.786698821314708,23.14260810434049,22.180402628694054,24.39400328540879,26.769826437603488,24.63837580100663,28.40905081598798,25.748183349604755,28.73376818364734,22.876062952255314,20.85626079558515,18.334278369044593,15.707094446308197,13.333693099511908,15.360646352825356,12.081747287169879,14.937513538845451,18.231075789281743,18.18543289459688,21.37839241134333,24.100484246677443,21.977439053751542,25.15310109190352,26.573045729738507,27.944098063977954,31.057726502459168,33.70343404411535,37.982794556290926,40.97175089804487,40.35124086467779,38.31214540320126,34.543871363832594,33.91079460605438,31.853915581947778,29.795072200198593,24.955259744326412,26.51337793055978,20.88172164963922,24.798446509708388,22.095164704859876,16.40008939648712,19.171620598148127,17.219723830884906,16.545684051996805,14.275743583277078,17.483684720183415,17.61764640281271,22.441526617459296,25.826844238384414,28.714584368822553,32.12223743410224,32.110206589579086,36.744631692910716,33.175406025730005,34.174908109853256,29.898007827614165,29.05797664304113,29.802695310127984,29.69232080236879,26.455996790121677,27.887546020503045,26.81297730643387,29.5043670494491,24.964172226163964,26.104470776384506,25.216628970400972,24.671681419820306,24.053675038756854,23.680148086639434,25.575030001633476,27.121572646844353,24.713974570425048,28.423848896348808,28.47534711813991,29.89259700922985,33.67867054744594,34.699099566848446,30.910577116322912,31.26235983538702,35.651386969661125,33.8489434874074,29.506610791870347,34.08781387345659,38.29532604612901,33.90251225289133,34.28829908752364,38.296377094709634,37.75067579427493,34.72179932535764,37.48876043123993,34.914344599030095,40.81049924629814,36.24724851025822,36.89830891208329,41.03840324002431,43.26160518754754,47.82569597676925,47.38159285572623,48.93638352499816,45.79720030130051,47.0629469985853,44.17495721857916,46.189921632255775,45.598258533296104,39.52449114734588,40.79669582092893,42.55310258106388,38.74189154961844,36.0306057347664,36.902764601938856,36.587370681546034,33.60224435753997,30.4787258113298,31.463548920370357,33.673955677560144,37.37957420903434,39.459957825695966,41.96248709242498,46.15337365063105,43.4646143374737,39.429066650540214,43.6685009495005,44.962789383544674,40.15073767756114,39.80779994816423,43.793346645122654,42.968295606152644,39.88156433674976,44.10570640439262,46.042776672475995,42.73384398557073,43.051861209125754,46.40044871664171,43.93398987017843,45.26976739919513,42.83409637935479,45.07043688711856,44.93380581181432,39.390308490703845,40.409873198486274,41.79599837606315,39.41219898487081,35.75189103784353,40.046052058400484,39.651022924729595,34.4200784273185,34.00510165002414,38.27069153597811,36.93082250421803,33.19388985167833,30.25084272323853,32.25268629055959,29.436033766660962,33.63059852816328,29.574716966131227,30.331616180736823,29.14283133287865,26.42817600672752,25.264230108057255,25.261084580573307,24.327772974031305,27.673199179353137,24.72990588990332,26.340042603794835,23.73888130816694,27.755621936860535,31.822152796264387,35.32430086106438,35.4714822171183,30.98396834256276,33.82567548475347,37.04233471510383,33.25250865065119,31.92103162135222,35.988589522730614,39.751120265532215,41.45672064768833,42.094723057612235,42.22583008516127],[33.62821495590349,30.165711222123928,26.889066540758495,23.45485293550166,20.176841235740522,25.514244044111255,24.10137057752583,27.774675902145628,28.54581880610002,26.401375450720803,29.709158086032765,32.599646181701345,27.92087926600222,27.27966276498163,31.22228268837275,30.769978202507662,26.276631026601,28.533223581212766,27.457533632457572,27.997246591179717,29.306227902883535,31.13126749396396,30.025223048056827,27.49182332744832,25.163967276419516,24.242638173431374,23.08299801335387,22.81908605951413,26.663406029286453,29.023832134468815,34.228087940969246,34.28665962309892,38.758413903215484,40.08836443794991,36.15144241427506,32.533570140734454,31.875943700178233,28.113052740725234,25.253637798163354,27.941865596109437,23.640427936275454,27.192616654868125,30.0587083746631,27.115842294785352,28.160544376775096,25.550679467547244,28.69202913177367,28.735275417438434,23.584279781195686,24.902096533536625,29.173986978964482,28.97714681513987,32.612939162086775,29.748951863391795,35.20849692341143,37.30612713073894,33.8871725486776,35.33649405889669,39.709411060060994,38.46053166935716,35.9106760065205,39.57039351209584,39.821286370778374,40.292353596422544,36.50937985625476,34.33877911604495,33.338666808541,32.88933262822025,31.25265658909975,32.4510803409524,31.392783510816106,34.566990756621244,36.08089856919426,36.24885609661706,36.58591719262875,41.80012603930251,38.27048621579992,42.21805218002894,39.347115169108655,37.91588783403975,37.158848066027865,34.00985581460306,34.11453622586524,31.701302218139734,27.91449927369023,29.762045276928504,31.30658837933249,35.14362910355634,34.364281484474255,40.06106964105153,38.6023364987087,42.42901946552456,40.927689409297415,40.53419011288921,36.79711470865526,39.29264444806847,35.88551846737974,37.18290237458971,35.74330095528979,38.999580858921725,36.12733677956345,35.437259578820715,33.29604757146464,31.69725639938484,30.010879856546726,27.41608366951604,29.447364018604304,26.560635446468726,25.56393091428323,27.40902794050613,24.92243445749933,22.507813664899455,23.019493394984046,19.387613051014988,21.263971639024668,17.966778792822883,20.13585875929142,17.21377114941708,22.51080968723147,24.516076807389673,22.968061207327818,22.57943720811577,18.220461760396198,18.43769047089104,20.08763068253721,16.62899381549204,20.438612804691488,18.774976031430292,20.418426243365403,22.450007008659878,19.947442282290744,23.48643714907739,20.74265968425184,24.025415119344448,18.188322753615928,16.744513711787512,13.980129095257439,12.102443487763795,10.888981277658308,12.929395133947715,11.17269395075826,13.994317843364296,17.30676096523203,16.577405918816595,19.412744246143458,22.23801229802055,20.060053965537207,23.035222668007055,23.947584164381823,25.749182230044312,28.373994775609347,31.627305493750445,35.502292169264,39.04639907910356,38.52862604723526,36.1255320680811,32.47607406453667,31.237940749702332,29.458913644530238,26.60134212627527,21.725359154396028,23.841159045319,18.101398370264988,21.797486397308138,18.412665546749096,12.645097369018204,14.606881999494941,12.594755461251523,11.433748027925972,9.50038521811517,12.74871682385009,13.624880464534103,18.48537229750775,22.082184393970692,25.29962546084169,28.657502514509236,29.295664459979243,33.53233686029486,29.849563481530517,30.44615363157137,25.997459938995643,24.969662392110095,25.25954776291292,25.03192852512535,21.972478156335484,24.035542149974017,23.610038059794693,26.21904664260049,22.04501526267369,22.363911075080786,21.128668381966598,20.313289307338994,19.19938782472353,18.603290230991984,20.39497377707954,21.897554278349944,19.645470953413252,23.440629681226255,23.82290060164051,25.401280547910687,29.262126630333988,30.526468212215768,26.934855176388247,27.33642064782235,31.767447304970162,30.37738047048737,26.33147529612048,30.741672461993502,34.999535771315,31.20134288249976,31.682298974996144,35.62412112016751,35.37342908862377,32.76644614262702,35.41764752779748,32.6416313857202,38.25307609274419,33.56557005928276,33.79882880160673,37.8920694575607,39.7292555358234,44.3777345696693,43.48499432902614,44.842477299904786,41.53947992858682,42.572238022501345,39.60243628712835,41.41807599532093,41.00633735038953,34.99390609333997,35.995951248223385,37.72507126099968,34.09353741183096,31.249588923640367,31.90058804810693,31.843414919554885,29.046579687434868,25.52803850310991,26.840415969117362,28.81814618784914,32.523863985818025,34.875657103904516,37.35900056568368,41.6922285008122,39.08862128159776,35.0697718548339,39.53178540139079,40.95879164889549,36.27800746700404,36.03642246579423,40.23935573040452,39.67887586347419,36.68395614418165,40.72975290341592,42.926280618139046,40.013991446023326,40.13298077836236,43.280944920453386,40.644504628940275,41.61191417472026,38.926031693969264,40.960161739126704,41.18865613951438,35.74107102771771,36.28895664608882,37.847068715843996,35.73203255270161,31.750756442970122,35.84691451406202,35.88840901608257,30.77664456895219,29.85242278542413,34.21727326615219,33.35377678843479,29.73141363051608,27.14451853551545,29.399894114014003,27.122718929987478,31.270808856473476,27.44390360112603,27.660864616912942,26.88857427793133,24.60744061144343,22.831977200327657,22.610858032220868,21.029544562852397,23.998599147704663,21.118644155663663,22.19948254488989,20.140771684110913,24.55266643392593,28.337789655214145,31.896333016142485,32.33464608979007,28.08554613457169,31.04351225611088,34.42551089004278,30.96752461150436,29.933380498421727,33.78835576619449,37.71293773682549,39.40893723015317,40.06229618765913,40.34352237790903],[36.87367549477754,33.37929184525679,30.120349232496952,26.903716597482703,23.80745750488399,29.514239570488094,28.33995854489573,32.04531259524535,32.95211601607659,30.875404995885983,34.18405840241906,37.058632546570045,32.33814277631166,31.716413502169033,35.591678753253774,35.07987507684054,30.527362880439394,32.54375339947032,31.11282365137413,31.50207693009906,32.42599625341437,33.90203274803906,32.55160726670164,29.717872119590073,27.821618376432163,27.36695511642557,26.46281242737923,26.66420233374122,30.628256453579898,33.127220557138365,38.34579257890449,38.44340176693882,42.90709150066044,44.04688182250336,40.044501108995064,36.35726492021313,35.72148792250477,31.644580560885196,28.577612443426187,30.622877029353205,26.296261695896067,30.13771841564306,32.60316392277408,29.301474206136565,29.947523173045266,26.960817772136433,29.740960566085633,30.221206195511726,25.180625165477085,25.758989297982012,30.379141309803526,30.376457978276697,34.26831300658118,31.941620672520585,37.28314000780577,39.165110893657285,35.96460764945616,37.9014515716196,42.056166330929365,40.45787877105777,38.37309768728002,42.336371017806776,42.92827385794057,43.136544319070936,39.2333325640662,37.41903786811693,36.62109371406953,36.530312564912364,34.942928894724645,36.42652621650184,35.28867463223323,38.35492908694354,39.935864918874664,39.814127704396554,40.35778346446669,45.34586419252888,41.70928206093281,45.72717027896494,42.73141800229814,40.995355946030415,40.39441910639243,36.97268486791085,37.33764561493096,34.52548585669569,30.848806491459392,33.10603087410719,34.58466512141145,38.67675550661574,37.89749281303814,43.749150640230816,42.39856387192889,46.226318967219086,44.91922802381187,44.67021760298132,41.04858491623511,43.60484587646102,40.26672954550792,41.52191767777111,40.12279751155562,43.33772411501024,40.32332056573463,39.50028675684282,37.219322398590414,35.48054244131012,33.29894544972465,30.874171753651137,32.50466344304207,29.342788442633573,28.59547272677908,30.81870220928332,28.59825940909348,26.43454438817262,27.261903265082175,23.699330423427167,25.690028357349455,22.36532892951177,24.334231939157153,21.203973550149566,26.140685299506103,28.535321993109363,27.07359095405241,26.90005550555606,22.554543956159296,22.898296748935483,24.526453144388228,20.967472691415196,24.412358990219072,22.610182854556932,23.806235102635366,25.580530867037723,22.523486040010212,25.635998751109273,22.736829483027353,26.521850229485402,20.856100721503946,20.17566829785286,17.118393667067465,16.03418682526323,15.243169315048036,17.042057309981573,14.9543202601493,16.908527717660995,20.726661134174297,20.36954955077375,22.916440297447366,26.121864159421236,24.150759487200304,27.240187801910487,28.09376739712924,30.052620114122917,32.501882557372056,35.91356650344933,39.66064793090746,43.30125164833611,42.865167656355496,40.39297361782322,36.777665595783766,35.362465200460775,33.621559732588075,30.494162182575806,25.52821608306651,27.595281032860683,21.726063697974123,24.98970280784246,21.12692672830404,15.266740870555928,16.52101194182227,13.415780954093973,12.648537138711708,12.106197763554688,15.383615490202276,16.997360573096355,21.549977912681033,25.23418550233133,28.654118663310992,32.11720587408909,33.08723482094826,37.02574216383449,33.07759649632101,33.50684174235259,28.71583496169499,28.075775934300818,27.588839668951206,26.83307017587306,24.03729098319653,26.03513742161374,25.98788474242456,27.885406702562758,23.20332121659336,23.284468274342153,21.548823544219157,21.494861837,20.036542611094216,19.797640179229433,21.476928401525566,22.77537801365487,21.194469598754196,24.981090845422614,25.55976066972208,27.776614091515654,31.302134874804914,33.108225525351756,29.734064846823063,29.597782964600782,34.09171465306647,33.19300927988602,28.867613256371286,32.99147063772007,37.625944139932955,34.05589265203328,34.182330961995525,38.102918943535435,38.28372116710094,35.54929470969452,37.75398114365138,34.75692133320753,40.315207022654185,34.92074571261145,35.45553724111107,39.59090556948482,41.01806652246965,45.856626841499725,44.5759134252616,46.15488629064112,42.9263974067808,43.99962636987525,41.309486785168986,42.666769608390275,42.05346698369203,36.329211731882744,37.29023330096827,38.40691170463489,34.78356503932637,32.22477225994535,32.542362708230684,31.957954218415242,29.474195678798115,26.249606652446655,28.16816273790113,30.59067202670694,34.17337467206588,36.82241990930904,39.56700249463148,44.000099428592364,41.72807765382084,37.58725678022767,42.04030406019853,43.809157735634464,39.299044262437214,38.81830893667844,43.17537811587286,42.8437462502628,39.69585460868033,43.46207405756159,45.87646920199749,43.1209260647912,42.84400325946701,45.82338185039711,42.98207914467704,43.86120850277664,41.22093298465432,42.8706376876414,43.042204758670024,37.7993649157909,38.04614864924068,39.25845248453106,37.24728640913518,33.244624797568456,36.801746912918816,36.67666964373498,31.832433174926827,30.65194597232432,34.52455970603444,33.608158659711556,30.18573300245832,28.070173692650588,29.580147143196072,27.658619962873917,32.20662310691904,28.91095171683488,29.548491132799683,29.38563248626461,26.667568022975857,24.709089489389076,23.812648325037046,22.404560168984336,25.697436873298358,23.672842805523725,24.776955008197934,23.43399677988651,27.80393067156244,31.71152639531809,35.172972648424526,35.97919214248599,31.74502792752321,34.43438768484786,38.03398028158417,34.891479392102255,33.57157271736261,37.19847508414405,41.2518704282209,42.84775252277726,43.35155559138084,43.502029350830924],[34.67829841758514,31.159734148865688,27.94287594211097,24.975375365329963,22.13805968546303,28.214166243557955,27.516327938817657,31.384606095279214,32.542187152723216,30.950477999392614,34.43326033696799,37.198489533285226,32.82002491299029,32.29980017759372,36.43848301537906,35.98692348575152,31.635104437378168,34.08208700745358,33.11752065732864,33.54792240551923,34.82446941875385,36.43339731442246,35.275557627200484,32.61653397941281,30.45648670573998,29.784992860379074,28.567625765133442,28.345462219213132,32.08860466222918,34.21886222712864,39.652842315028956,39.39038625343658,43.91501183509808,45.40226705591838,41.385684508684236,37.89374633077122,36.93384273550981,33.332980742646136,30.352127359743214,32.511811107939096,28.526405453317565,32.42948054858827,35.0293736261574,31.922284820534756,32.858932403309744,30.024437393890803,32.84112904774961,33.048548960197124,27.950069524739558,28.5124682356953,32.949897848653166,32.65738397372109,36.6195716169123,34.11572836689032,39.37875090791188,41.58924341471177,38.47986188792206,40.11737591363384,44.381789669643446,43.08415050713438,40.92351622115137,44.77744588632877,45.169320610844125,45.66690702550328,41.808059431467754,39.71499080984117,38.928375468534924,38.506464905249324,36.91711622343198,38.055021173135245,36.98283822882935,40.12479649408942,41.71056486656423,41.91419246722755,42.21603238041073,47.40213581470207,43.767194652890375,47.653750697835534,44.64810435894233,43.037370534376294,42.10047519566488,38.67200162861987,38.59162765105462,35.83976981106011,32.32984225859043,34.513868831035296,36.35677334287,40.12497752720178,39.69237347597361,45.38006901150382,44.08581658105127,47.994979124529216,46.45434873212906,45.93585196336386,42.11909185198607,44.58670849685464,41.06766128088908,42.231264675685765,40.54108625441227,43.42320614416247,40.79671912456579,39.53643718189534,37.695105043646656,35.468670354886406,33.39140818077663,30.56304414819243,31.886360739217398,28.50542809209813,27.40321163345915,29.936966493669505,27.57386998770045,26.00109042228093,26.87363568731056,23.71108027337269,26.172769863003815,23.130328141034564,25.60488121251483,22.828995279268156,28.169722231294767,30.112996189842562,28.476339567304223,27.87024024796888,23.374019679041957,23.248254217602483,24.34329271583522,20.68492344534064,23.374803941656875,21.873293693011718,22.817841295835255,25.03328325495379,21.42880888345808,24.67434348938575,22.265117961549528,26.315121167520683,20.660549541118403,20.02328341162687,16.129308324526047,15.909659812678234,15.599711993997698,18.00642133357194,16.78609985802524,19.3575335942997,22.837374718853024,22.002551518140226,24.659499183587787,27.47958867484057,25.2238296211747,27.893052960712712,28.329322540739437,29.978228497738108,32.05526819991772,35.46949707407645,39.09903838363686,42.61705958187027,42.56670781978964,40.24178173332714,36.82603884989918,35.24726672877833,33.96497393842097,30.55030814355438,25.98986025836064,28.63301964970244,22.97050002330718,26.420236334601963,22.455124659756656,16.781155900791756,17.459169091451514,14.57977345408617,12.801886205393593,12.532901131133007,15.578839879333614,17.57437688117154,22.311643701306995,26.047929954387044,29.519729442286554,32.7173555794866,33.85404636494846,37.78470279317497,34.09422771713401,34.269820607448,29.68203518072494,28.36864758262912,27.9909843725038,27.408433653789153,24.79952057487081,27.493179572910613,27.773271453285542,29.851275979906905,25.559512885790983,25.142316537556518,23.163987507820874,22.755500248463854,20.67707599309567,19.88202682329354,21.09761323162521,21.811974913289543,19.861083951522577,23.387676349101657,23.515916886201374,26.031203558113962,29.18041471718561,31.199381326094418,27.85847766257501,27.228936136517486,31.731001224318273,30.989428125601062,26.34867339615781,30.327877212040843,35.18171055237036,31.621279934774986,31.48482602136215,35.387412230711504,35.81828873271665,32.973801579275566,34.89702902851743,31.80761549835621,37.34564912511016,31.69991302176155,32.42088821168477,36.57669907054064,37.97362769682432,42.846956814744715,41.63076434152984,43.3850887107989,40.303048506840334,41.588736988562644,39.13495323258728,40.507450801391826,39.607113672685934,33.92429250678363,35.1929375027583,36.15398389164544,32.31810143375717,29.988894762348618,30.590442001733148,29.58277396714595,26.892572604452557,24.24684101054603,25.879554334603498,28.901939163960243,32.38624661938849,34.83091841838729,37.85274321952164,42.18009484299683,40.18469705078006,35.842910348809816,40.028863130375626,42.03963522962002,37.61000798750331,36.760832205097174,41.123980757951074,40.880737400331384,37.531644620080556,41.12640134924709,43.61288445227023,40.87145895980678,40.32665731186982,43.24308248915141,40.33013638870824,41.31090647261876,38.847666540039725,40.390573859237136,40.31398935792528,35.138292316928,35.494120685715814,36.44841511104292,34.34614577138007,30.501767876569424,34.00416118497507,33.602356572189386,28.77352226138954,27.796687885043593,31.540057316753938,30.387466060380365,26.942221219196462,24.81549001899149,26.153018677275202,24.221198440724738,28.8453863074474,25.71157978029776,26.553294454623597,26.68055326436599,23.745790089342645,21.721718426576228,20.584682425071268,19.365353831591193,22.902724008518227,21.3638871292515,22.830676465699845,21.842680126806304,25.921081766296716,30.147407530611257,33.427237077065826,34.60727139950357,30.231610176737913,32.51409839362281,36.31171727477282,33.536583488661364,31.7721009559908,35.156394850379435,39.324648616008304,40.80990592611409,41.20786501691415,41.2933138682724],[38.790888750225065,35.38780677560509,32.49296426904907,29.23260966669802,26.851833672870608,32.74366420439189,31.998519261446155,35.95658196708771,36.76469308643382,34.900713624869134,38.244070763209216,41.26571997565877,36.7452743928793,35.839445263956684,39.9226801164291,39.6121180406614,35.04950648623352,37.09275529490765,35.486365216559996,36.12270014087569,36.86132035653749,38.376699829059135,36.8103520650256,33.78579039880614,32.20413328430749,31.74224020409345,31.12656103385331,31.33615599398597,35.353010104165584,37.8886789875295,42.96256315352308,43.190159219025844,47.6481334349755,48.83669862829477,44.887978583016135,41.16180454739691,40.614127403643394,36.52051531405989,33.47243885626049,35.459650817592184,31.050703190062077,34.820611856147295,37.221723771202726,33.778853712268955,34.10448965830792,30.907208934536637,33.518503064668984,34.39320125094478,29.47761018447842,29.744763809048198,34.551918065927524,34.70821634796026,38.6751919284807,36.6021533967718,41.897510764624855,43.61205026914458,40.453996063936096,42.61378809325105,46.66878602844841,44.84109585438026,42.87565355121442,46.90243356556301,47.58531993290759,47.556016047827285,43.656986107344686,42.03454254559216,41.020791328532944,41.05342886487983,39.1827094863861,40.68980893291755,39.33458810096451,42.209099001098586,44.093933891964696,44.02240890666233,44.833422722032985,49.871343181853845,46.36859607159602,50.46811977388145,47.53866711022569,45.795307221962155,45.302832291004464,41.86711639483543,42.27803132481433,39.402089922801224,35.762577157779624,38.05580192542449,39.47913131621555,43.61393714078771,42.72105048488916,48.586223844290124,47.1132760294615,50.835271329780525,49.50289414073459,49.28319886936895,45.585362488325075,48.00070385386845,44.55143248072033,46.06918636998833,44.611520828796216,47.78308572295658,45.02205180122106,44.108203656130534,42.02290771688149,40.116016912253244,37.952445030151594,35.34724488744896,36.741648187948385,33.37966168677116,32.42395315886857,34.91971402960219,32.55464272681098,30.78462132185201,31.47188449824283,28.09639473709278,30.074475398183587,26.74049397754556,28.805244013770107,25.543410887239997,30.338725022004905,32.87876099155144,31.172972130214486,30.992433546626827,26.463407806840205,26.873026012502233,28.39656151250597,25.089793984204462,28.168998746632916,26.739697477539206,27.809416172541177,29.872441646112485,26.344140605739156,29.39865419957822,26.74382307171193,30.836270222577678,25.235406959368884,24.697076222517698,21.09203822602959,20.49116693114355,19.683766270513743,21.78585165577187,19.481220195371158,21.433359317230057,25.34292163953369,25.136581571578187,27.771062480110796,30.958548002745456,28.920330366243014,31.943054335004213,32.72604193645031,34.43365123723696,36.778244337034614,40.0571520165943,43.84488444199678,47.2488878351767,47.06986743197973,44.787227072885564,41.243051383169025,39.86187557861715,38.29619552809438,35.13802099570574,30.320305151685734,32.50628829487801,26.646735378400216,29.92860423531325,25.987157506713825,20.13679422301677,21.099866873903142,17.65259241197788,16.759333864204873,16.73213871504075,19.93430078453326,21.79238337763668,26.373706270225988,30.090979765318902,33.553567707613766,36.969968773905,37.972648664733576,41.927296454744635,37.995229820565015,38.344791505043965,33.5164463271846,32.77115490933416,32.09865567000767,31.18591885387385,28.575356270772254,30.674665182578636,30.76808730901293,32.38309579144925,27.464647630296923,27.4587869320347,25.441270067862135,25.770151071519628,23.98614055343536,23.730356476367174,25.109876581046695,25.94207797373045,24.49066778571362,28.03294406215541,28.293201905121904,30.992216017308966,34.01919392279341,36.18690734744739,32.88405790175041,32.076748885492535,36.571759168422645,35.90442142536791,31.075174215669705,34.971779167922094,39.9603252268126,36.279480714773015,35.9462217011917,39.85403324595937,40.36033503137799,37.2709512719356,39.016332255601164,35.91550227333656,41.5243725616373,35.536868669068305,36.63026293036439,40.8025448697216,42.088913231850945,47.023862551331824,45.717316434323514,47.67580231853995,44.707898994894364,46.06291098709964,43.785956401388184,44.91338238592847,43.87601498267763,38.40103066697653,39.66035612708411,40.23618756691929,36.42327300071921,34.317158310972374,34.68825911939082,33.316179480442486,30.87378032289889,28.485856350787373,30.440607244545664,33.62088382967786,37.0384690019018,39.61079582372467,42.71049604240037,47.06588237429031,45.16032673057205,40.807893730225715,44.969366045597745,47.06269948706946,42.6588632500368,41.73403281418672,46.09229441878087,45.85025784822905,42.425416426255076,45.96581479218301,48.45262527453382,45.631355471962536,44.994541862620906,47.90004057718541,44.95551937611717,46.01570397683616,43.655354352529024,45.05519494949083,44.83965253469583,39.76720630771608,40.1046048656448,40.80281774885471,38.68644069922716,34.96960954425641,38.166833015116666,37.506425006826994,32.868038490364015,31.91570151360107,35.22782133955329,33.86587716131707,30.576379068787556,28.65645513900862,29.306274101641737,27.402637518576977,32.27518835884192,29.414440091408377,30.757322393005914,31.00232829622795,27.658064658721386,25.86153302117649,24.462481773627115,23.659365477330756,27.45815869200669,26.25979806553688,27.839068469675805,26.865308943668516,30.871146247620423,35.18325411668994,38.44647494732844,39.59837693964418,35.160209228063174,37.375528154432224,41.17008706672803,38.3071063441178,36.3919388401283,39.809711232615804,43.94532572970698,45.38199391676618,45.69902990657802,45.63134850822094],[35.40441425495946,31.949670798035775,28.965842418391524,26.725750621030357,24.600098037822118,31.152204914340672,31.310345524783674,35.299084085157695,36.86052068916515,35.97851714004934,39.62524119870696,42.199924733913264,38.29164197033983,37.916494366213485,42.29364813146212,41.88185723292605,37.775258136080964,40.56332547611796,39.92336428426597,40.30596360578366,41.741324114926776,43.270836641669824,42.186376224785754,39.54201112937799,37.366176906922334,36.74180839453813,35.338938887966016,34.924827684418396,38.46078026407739,40.21980752284421,45.8916900605027,45.20051759385288,49.76608539642484,51.5610795116888,47.50008700477629,44.22664152730661,42.88349067096309,39.68521945880957,36.69854030454398,38.54444142718773,34.99353206052362,39.11959831196616,41.59839992421754,38.506859261030975,39.5137915486794,36.6329267942469,39.221487999922864,39.4046172159152,34.367790364299296,34.40939966787429,38.79769887805221,38.27633676931882,42.4623327331659,40.145732077382974,45.16936246479428,47.625636681489574,44.81360007984815,46.40987144744651,50.62768012184719,49.46998604389498,47.553998158618896,51.4753810802031,51.854817349786124,52.532170575069756,48.65025194835938,46.465195087087544,45.82984629124143,45.25142434070988,43.69796251087802,44.60256733395863,43.560935883555196,46.70644841164569,48.344966132942766,48.75395475534613,48.8970948517438,54.160785571558065,50.46121866350123,54.21910986771659,51.119983544226855,49.45619898539272,48.206922684387656,44.59790972457235,44.13246640509542,41.209989994344035,38.041959632157834,40.38467837582155,42.61643674997318,46.129157636867824,46.13705401786033,51.699988605057925,50.561209093550836,54.56247181985746,52.865081524034004,52.10439180118279,48.13675422420105,50.51819182872467,46.835014565312875,47.84149942529034,45.81252698517154,48.18458852782779,46.003860999910096,44.07471802517588,42.74333759465717,39.80073839305115,37.538514020008805,34.367746713796194,34.913651824494046,31.1307875910004,29.76852293593045,32.9356978887583,30.67512834745824,30.138304942826494,31.25722487180668,28.73530692005743,31.760120986916572,29.082596121932998,31.963015969057295,29.472824246240226,35.00553368249703,36.66887595568696,34.89608939405557,33.932453027604026,29.342614826121977,28.769608026604764,29.193897883542103,25.4956006872325,26.871529926940813,25.744713511330957,25.98567970128674,28.488293997725613,23.929678073515106,26.8018889669026,25.117530917268777,29.69412877651413,24.483570571663872,24.450091823837667,19.66031646228116,20.93873903075705,21.35477117874017,24.13735508198767,23.591285729591146,26.28584598485496,29.669356363054334,28.556412357158223,31.133566465648546,33.72293275163035,31.30157335305971,33.51025464449499,33.39142386925624,34.71999927335612,36.133924635688565,39.593014607113,42.893004428541445,46.25657123738078,46.81335479043833,44.66939755412243,41.598424158900364,39.69842706902595,39.06720160737769,35.15959590765563,31.15914787976968,34.40509117441467,29.003139211462077,32.332099166541845,28.044839590578064,22.729849608333307,22.36284602327234,19.311783443156454,16.88842664654153,17.734672085920337,20.24249658493231,22.932765546806117,27.475270154416407,31.209405962291104,34.800062605003205,37.67329814374554,39.23858379900786,42.89415775490481,39.39693201243652,39.12230179023385,34.643569029327644,32.77924444351636,31.991305811595613,31.26734148275039,29.199047130597187,32.62165611701436,33.54541862834202,35.31735249741252,31.23819823586143,30.07825657583944,27.535692875469113,27.245067054695074,24.25660232989094,23.04824588417034,23.439463148934657,23.05114522525696,21.302485333909328,24.108665532901515,23.67754915179181,27.08431308680857,29.148332651240416,31.918442496694023,28.98031584453799,27.099535448857292,31.452261234639277,31.456887662473072,26.281141763527767,29.52615401005435,34.91741807365775,31.721730249569408,30.81640866477712,34.518854561134674,35.7635787154321,32.71886741352561,33.66160975915793,30.307022088157918,35.55870332695506,28.901781847011037,30.266152770084073,34.36145019356302,35.23506867625678,40.259954843182406,38.767362901834716,41.03353959391721,38.363384779845994,40.030269383203134,38.322495693837276,39.230384311413616,37.64969704144187,32.51349198261214,34.2289229469197,34.264532128292856,30.189920431885724,28.673657740620467,29.40249256508152,27.110938741885082,24.514754440647522,23.42169765135182,25.053559273039227,29.341388197511424,32.39396703816371,34.68786732073695,38.306785056877914,42.44110330896078,41.23612460266947,36.5936017737431,40.22154631376724,42.880537504449386,38.84201870381642,37.22238721221026,41.61456890028646,41.723971809804006,38.006715924756,40.967297759666415,43.71427421168547,41.20485865388498,39.866760506502814,42.445314864340716,39.28505186148186,40.327739434362705,38.272481434108705,39.21979472042543,38.660666873771724,33.95893872633036,34.19206121486469,34.30787051055346,32.21764415191207,28.78944503847546,31.4862756845369,30.39415949101184,26.082813691889015,25.261306017350698,28.03450568752096,26.389314249922634,23.279485877791487,21.80889274343942,21.79569422425122,20.39462234418396,25.424733263893255,23.37084510677045,24.997666647303177,26.238961172975113,22.689397508974736,20.52711787657845,18.283790717015314,17.761576558269102,21.77185714206121,22.026408629251662,23.966746676648643,24.17278033936603,27.52474631225641,32.12427912418798,34.92027574007674,36.93518051558394,32.51236858738304,33.87067091552255,38.02761224119509,36.14225699679958,33.55215538275925,36.24963658355386,40.57349211001333,41.7281750604239,41.78926372380861,41.60961500193743],[34.476107478633594,31.188033133793805,28.705221030558715,25.73386404443851,24.290674153752114,30.43774631124391,30.567884077518812,34.811845147587434,35.820603540546074,34.786321421636515,38.33679772515015,41.25250655404894,37.429845290995175,36.50575051987306,41.06046153448299,40.98349516478391,36.780161142030074,39.53733448606817,38.68193145831855,39.56660358724268,40.905448329805175,42.811100788660696,41.54129706644102,38.81377894709888,36.76538639142445,35.772222223935984,34.73749665691395,34.16266186655581,37.81651382460626,39.77184335263711,45.018540796914955,44.78655477915191,49.29869381395514,51.110872445369466,47.22752491979921,43.810192567260984,42.85173522657492,39.586205937167776,36.77547765766726,39.226421111164555,35.221269227884264,38.91370155224146,41.692228941656815,38.61278772000419,39.41562658786765,36.49162053581714,39.33076060240698,39.76347643073241,34.67887843021116,35.223437184223705,39.7442192175954,39.48312474051356,43.46265634606441,40.9438121746032,46.20987714400758,48.430603315881456,45.26730852119338,46.8556058749954,51.160983736716354,49.83502213156209,47.5408046987171,51.28471943769803,51.53738723161443,51.952882536366516,48.17624096448959,46.05264392183095,44.840382267275885,44.2721398436807,42.240015290588545,43.107697978965554,41.78559593183496,44.71422240799602,46.71458944487013,47.294734255056156,47.77750107583335,53.2431072855832,49.87356917354784,53.78297912319377,50.94894635138028,49.55288053076094,48.55829564679727,45.26288188939852,44.94246738094198,42.34745547338287,38.88922375680769,40.87754223979282,42.79829980561745,46.3602316526363,45.891510601301725,51.43227272605219,49.91803430325606,53.6899293619785,51.90119340577085,51.227865514274875,47.166902245852995,49.32203480293814,45.54027844992457,47.086221544297366,45.16946465733196,47.82645756402095,45.88395252709162,44.38387098588422,43.135644521412445,40.55461960256311,38.85938480363982,35.53354605332027,36.5696292005322,33.003844673066645,31.29119574001944,34.118646960647744,31.355606587947896,30.564173554147537,31.034318872945093,28.382169644107606,30.87478095995183,28.011090422473654,30.84618679937211,28.135588900639434,33.52489312784802,35.30577899814973,33.21446216806497,32.32984944130328,27.589189294143953,27.325090812999758,28.013077304862744,24.90800670101435,26.780041872495385,26.145665660584136,26.998604358234306,29.922154175035484,25.775521298633176,29.14000869990859,27.42933415158089,31.69316503271983,26.15348430169963,25.38480158423904,20.6856028959777,21.119878947234998,20.758395418747437,23.764898817289314,22.587801544050752,25.606466386854116,28.931510456467876,28.025623687984805,30.95076428515188,33.42131500937896,30.902711040040657,33.22475129850898,33.42101788063494,34.43196724378362,36.24135636814673,39.285652331553734,42.95151035043578,45.91272847570457,46.4126455582822,44.53535983223306,41.34813189414539,39.87959408885117,39.06102736062986,35.68855365215339,31.630631710766174,34.634768038172595,29.175479016490172,32.88437832190473,29.020005989812045,23.443741911684775,23.92595278360227,21.083324931014275,18.84172473045983,18.77099531227755,21.572825004293833,23.636693094687097,28.51768945488862,32.23308396587686,35.646740557279294,38.59327564666273,39.64701882040276,43.73362060702906,40.33616694063852,40.392687725651925,36.03148161040738,34.137039076811014,33.946038697164866,33.48344032032078,31.07006899522571,34.1434638978386,34.52066906412543,36.63699763992045,32.33880027705297,31.79972160541956,29.61536260321813,29.23552044779098,26.72398732399634,25.574246147666273,26.253784443723585,26.16947276944942,23.92629354650136,26.85537418298585,26.116317005925758,29.099430630414837,31.372446550444582,33.70739675069253,30.433860820915424,28.76718452335199,33.1407681943053,32.55907610690068,27.14463767294827,30.757535069321275,36.01816225812706,32.15890261393046,31.29770758046857,35.13025497486993,35.97161500784218,32.55411014268841,33.77600819318602,30.637156805816268,36.25205303952368,29.9485033161291,31.581859088771854,35.7483407011234,37.18729731951988,42.079921906307966,41.168679031968125,43.509500081059684,40.930115182943744,42.78029924186207,40.97850489610762,42.289290270328095,40.66743134813572,35.28614155666066,37.24104890250943,37.64200979541578,33.40521147774185,31.798273537740357,32.868771061306695,30.711666903492997,27.775212429540716,26.70794456905348,27.788246125048754,32.020273314810886,35.20774437981592,37.18173170079915,40.717360240610475,44.74316717735554,43.29417050105398,38.638525134512356,42.147652238221525,44.572663155442136,40.30223558374919,38.68590530205503,42.889899371114495,42.691146453022874,38.90757351756176,42.16905677000331,44.63918643927428,41.709023621905956,40.67150836442307,43.51869481761771,40.561175902460015,41.974798973544964,40.09115127970172,41.40536859806892,40.55432943838566,35.62018605012116,36.4169373607042,36.5680419055048,34.164552760672784,30.992617964625307,34.19420681162618,32.79729887947961,28.185978971140003,27.971373707840435,30.97255361670198,28.905839991569582,25.54870296522812,23.4076264993935,23.59125173085733,21.358291397029976,26.31189071288574,23.70274151888772,25.69232788408897,26.299292327168228,22.419214515587512,20.85521884325928,19.13735911676016,19.132776029099283,23.42227956376822,23.09950141508095,25.51063242659474,24.911577857641955,28.108537289133302,32.99763404949175,35.850464445703395,37.53336828309119,32.828159446658354,34.21541473547032,38.240659097911326,35.978123355161976,33.176848272772176,36.153853211787585,40.373752712014195,41.586736277618364,41.6848667849165,41.42251472137933],[38.1449762550943,34.947611887504465,32.64397337132596,29.407948544770615,28.097860143036854,34.051622257932124,33.990224814303836,38.25841695304777,38.98559532612022,37.63594806628326,41.065615766395005,44.182986642816516,40.16241627365809,38.96807490987134,43.436303423351845,43.43391973968551,39.03307308935278,41.44603064120845,40.080738421630784,41.092860991001906,42.021290691370105,43.84787319251602,42.277908129773984,39.290401332460505,37.65880671454894,36.83238285798718,36.23284716367729,36.01041905621581,39.89682129396151,42.1989492252218,47.18526204879712,47.35208591027071,51.82184843746349,53.364272443856855,49.51815769186035,45.896330901953064,45.26937899727474,41.574204312659624,38.690607291942406,41.02105891930464,36.67362101764093,40.27816581732019,42.91110870172097,39.58410246170647,39.94835702703725,36.777529080845554,39.477000956478065,40.377218166407204,35.42374284907784,35.79505775084165,40.57078870691737,40.64707767694961,44.61570458119435,42.39838841362773,47.710619261158136,49.551336120441455,46.335275130252256,48.31593745277903,52.47095938708528,50.7416748285529,48.585191140837196,52.45969896716379,52.941045311979444,52.951175183211056,49.14265650920817,47.3778566923638,46.009428804005665,45.80044281631008,43.5783297880584,44.758454106621194,43.23337665439867,45.968064591909894,48.1700377926062,48.50496940548809,49.37723747198109,54.713085276589226,51.430306522058764,55.512546964121995,52.72849353760428,51.22070870382894,50.58101515684537,47.27315946215942,47.36004369385142,44.659498515085644,41.06691753514564,43.152254575827286,44.738652560997906,48.61497593318284,47.77469016954446,53.47809719219142,51.82973145052244,55.46536017841607,53.86064623711854,53.442563005286665,49.49464762672774,51.64023631627134,47.93845833461235,49.74197743183333,48.04237371625926,50.9823189857336,48.8425674398402,47.6684648234459,46.14156991294819,43.87134128616508,42.07250202929048,38.97327156108724,40.14611880948495,36.62024015636998,35.10544859474704,37.84421777684748,35.11417925858506,34.00699153354651,34.37603915751001,31.448772513170255,33.553654433742665,30.419442710357803,32.900257454010074,29.806652108055562,34.785881153563366,37.03889998922253,34.936505119081154,34.41799481509032,29.67624240517757,29.856486036899433,30.960207651587147,28.041069258233875,30.407296668042587,29.678918357922093,30.683736530041696,33.39677367998476,29.402934378780763,32.650456965519815,30.611700319620432,34.88495185789909,29.297360397302185,28.579118785675327,24.210903224347508,24.18532856913458,23.433380473035186,26.154427011831203,24.174738520106395,26.734963687766786,30.380366914567652,29.937477820159984,32.84217641113003,35.633411087938846,33.29657908850777,35.95530401707339,36.47124735479504,37.621960802829115,39.712669874113814,42.69740035798277,46.51106186354183,49.44970528889169,49.759147560102434,47.8591364707768,44.52136669833352,43.209025898875936,42.08447740023008,38.915644660060934,34.55122232162084,37.16445830171649,31.4916701365638,35.08584880283229,31.22236858826841,25.44254951286599,26.20291629119652,22.956810441718794,21.358583004302936,21.356492142710657,24.38260603022845,26.334728041455627,31.153458158004213,34.88811512574485,38.31635346846294,41.485055795415974,42.42656558112178,46.54910240560117,42.918868526835084,43.14196902563812,38.55261434143609,37.156577032164776,36.748479808189465,36.03632005811576,33.55631267224173,36.146460488626374,36.34687894957724,38.158260557993465,33.398873573092345,33.19745561647004,31.02672002088805,31.146274395280898,28.91726048052772,28.20032770677334,29.115088235248813,29.27614444690331,27.421796887280916,30.505229411420896,30.023865028625032,33.04216722003762,35.3985828705021,37.77177549341909,34.49640147208158,32.90125590692492,37.28313500597557,36.703112933584414,31.291338297792922,34.904417127726,40.17236570473385,36.247571307497786,35.36162033068075,39.191812336726386,39.99856284076288,36.47592570339003,37.67250712329356,34.57380916004093,40.20705114885172,33.79802141220071,35.59048611811807,39.740261818978716,41.0971900719048,46.007509792316085,45.00654421244554,47.41872258935144,44.86944414785209,46.693019992277385,44.929060252188464,46.07091428386795,44.45028420013252,39.18946657145432,41.03006203652659,41.227050771685505,37.07804145562729,35.527508418166335,36.34731373521482,34.100795912053734,31.406785941157718,30.262489618987946,31.674685832480165,35.804714358598794,39.0031883144533,41.14509221408963,44.65371462017298,48.748748607238106,47.26832194007768,42.65071450941738,46.248721422172714,48.660079550466435,44.36913749107325,42.82344972133433,47.03655746450106,46.81468840244248,43.04418291273763,46.326419099471565,48.77898683483892,45.79663125990257,44.784026715273306,47.63767243819017,44.68305233056604,46.107192709014434,44.22658484526028,45.47668377964079,44.623519940519515,39.74353413827656,40.47465705559227,40.5498176896617,38.182938016594214,35.029791078640095,38.036386878032154,36.58278705362524,32.12134426104006,31.817284979578062,34.57304269460156,32.48026973338583,29.273430509229694,27.31549038399368,27.11245423280377,24.969514356877717,29.98060040918787,27.53854561196117,29.7304705686493,30.30460618323058,26.297370384122274,24.894469171075393,23.135868845401497,23.245486636539425,27.54968356375636,27.21808059798769,29.53787921975321,28.825476465404854,32.14124880505636,36.98890704497008,39.9120985798967,41.465905096724185,36.75119261433621,38.24893991374278,42.21859077525904,39.776378420751165,37.028009504824766,40.11195408236844,44.27524412400598,45.49482840323977,45.5691567837589,45.2294999860615],[39.87745573939096,36.89673272885748,35.05932387871258,32.005013743170565,31.433017891426417,37.35307013894962,37.75279025640062,42.14540950374632,42.84763662363042,41.828769275473604,45.27618589123449,48.42137673129341,44.709410539592916,43.36541095822735,48.00810779396549,48.17007068650305,43.86788813612893,46.424535522720944,45.12204258866873,46.30540230372381,47.250777872059956,49.16851731217195,47.540826767331026,44.52127751615625,42.96440516750357,42.04422396849788,41.50604100415667,41.14791034475334,44.97550157610993,47.17062873085894,52.09459909080376,52.234900254728956,56.69795231422335,58.400801027805386,54.606718028405666,51.03584189931764,50.37005457017682,46.837286775439686,44.005704907670435,46.382719079235414,42.07529982824994,45.640294590418506,48.30817220318304,44.97848240661045,45.27125068721535,42.05325343729925,44.696407771137984,45.70665352151742,40.7914311954039,41.049569409551076,45.857356828091305,45.930399513887295,49.94245106563459,47.77697109456163,53.055516582252274,54.91040782986505,51.72205815161435,53.7128177546947,57.86236466969084,56.10651902374703,53.95828457876669,57.81189349082179,58.25760436147779,58.22488019361932,54.447037393376114,52.68899631140844,51.166546213149694,50.90475266078511,48.50118125153377,49.55455141290908,47.92040596690438,50.53106123334666,52.92719334259855,53.43009702842568,54.386152528994465,59.82966145997449,56.658200349105,60.742410780448125,58.01738216290836,56.57498916843949,55.8898348498945,52.59681192346863,52.55835440566465,49.87510439334502,46.34199076661701,48.395133717840544,50.05458022616614,53.836730778036724,53.026667132883176,58.66498892459654,56.94085796303732,60.51731867615075,58.8014140727517,58.301980147140995,54.24479645384288,56.23532446684794,52.415209187141045,54.37172877593541,52.544854688780596,55.32159853003392,53.52915503678372,52.17457234094753,50.94918545447908,48.44568097782787,46.75596022707295,43.43542191391963,44.376602522548204,40.734784891568054,38.97401907805754,41.902087008598244,39.05914750669088,38.39432254548961,38.64899393289355,36.011749238637755,38.18631075806937,35.17980951214438,37.81870307533096,34.7957286617251,39.76957701623566,41.93299953102068,39.64986342243533,38.99642010645894,34.200552019811305,34.27975784981477,35.137918904938466,32.448984794014926,34.31822882867947,33.957124037854676,34.819139991978794,37.79231622053767,33.49860009404623,36.691771359954075,35.002892503682794,39.41656067691074,33.9491379088855,33.28704346650466,28.576939865244984,28.950152069429922,28.297192882320918,31.232352239589154,29.372159220359453,32.064322148996055,35.64627071408473,35.150933567045634,38.127698234127585,40.77897046805106,38.33530108081193,40.811059447636055,41.1672487115792,42.03387625821979,43.921053574194545,46.74169046804604,50.505911054667486,53.156367706261214,53.79369355749197,52.12000503653391,48.93380244524906,47.629046171451826,46.774259495005005,43.55926105979455,39.45253251160918,42.270355135189774,36.69075686239169,40.351638933260894,36.45666275248622,30.736448803510225,31.286265134992565,28.01976911054261,26.2077556374477,26.408300530517355,29.30224893054529,31.380589295360767,36.22293380859066,39.9591404207457,43.393089176442885,46.434082233526276,47.410073910909766,51.54778299190048,48.04107417968128,48.155444748963646,43.64445873617373,41.98260922000718,41.55751205679958,40.84730438913562,38.51872481496448,41.3352012003034,41.66797596326842,43.427517318652626,38.67371397749748,38.32247684705399,35.99485965623755,36.15810443005683,33.667189908189094,32.795927263824694,33.41720961962456,33.149701320867244,31.278985320982528,33.997339754388506,33.12916655631167,36.41865571285214,38.2069945771036,40.80527901218729,37.67563644717296,35.48077521689096,39.6872060111697,39.31719144215729,33.60180274430946,36.82444395918805,42.26185671179168,38.33256206592448,36.98552836580081,40.650129860009486,41.78159524183529,38.006374188621464,38.633282463413295,35.55824905069868,41.02777105760232,34.24932181475917,36.60994374224973,40.63937891252577,41.87449636462355,46.72482677134183,45.83645681776783,48.612753178896675,46.439487443443234,48.57535435948555,47.285651275181664,48.274209573290726,46.2104128359712,41.303462567298354,43.48722860098349,43.22796143245776,38.947290316864034,37.91187372424461,38.909199490774306,35.96309113143252,33.2931695364582,33.11180131128784,34.29787587396758,39.04346844631062,42.000830116963186,43.90372187918655,47.697588575351745,51.592519335970366,50.505533878478616,45.746682515014385,48.916631219818136,51.60505035337545,47.49223814268433,45.49722301716796,49.59156206085592,49.45288317997024,45.46606785330079,48.434775109959766,50.892198700312186,47.89158471237264,46.515330151462365,49.229033538161346,46.254540800176564,47.88218235943714,46.38237461226876,47.387799476430445,46.08073472818823,41.506569116995344,42.4006315982792,41.92325681125869,39.470120902477575,36.80136067084631,39.41029444289065,37.358195908395615,33.274655180962554,33.36489561600982,35.44506240698301,32.851418602387064,29.921754101716214,28.203927643379355,27.061723271535403,24.996486337247287,30.00212605756669,28.201101788307156,31.05454591704509,32.02511104465545,27.608533826532867,26.50992469337634,24.393767980618474,25.191511776629923,29.69104863711711,30.160125647767863,32.84922351711588,32.47320670283521,35.28196788914276,40.381225580209204,43.01584354409766,44.89844976223614,40.08715562398315,41.03484089095642,45.10507643441553,43.05341315462108,39.753174997795306,42.49212500037762,46.633344551814645,47.64105035233772,47.49377245474133,46.921077122731255],[44.83413634106397,41.83859138323767,39.90922305325804,36.76127158365111,35.92575964574732,41.81896434852982,41.93854166841726,46.266140764074024,46.86749085272475,45.50877981516649,48.862456492872155,52.10469931353737,48.09732027566243,46.68074631491426,51.136557692419686,51.23810068932858,46.75073539379646,48.92028806281336,47.137405379488975,48.25555797778774,48.7773733745674,50.44922569211683,48.57705630410581,45.323715303901565,44.193083475840304,43.60039213656631,43.403155774887125,43.49133433540881,47.515700696507665,50.02725885801384,54.8129891226797,55.235556374877,59.66641495840129,61.036595126632164,57.222714634617525,53.47813512661874,53.05248829940114,49.06308766713684,46.1033035224769,48.13297476497455,43.62747013589078,47.21702423499154,49.59940881782336,46.006335802591984,45.885995674819654,42.44804686987331,44.80762655257804,46.24305096322661,41.56519094185885,41.47970781474356,46.43969878830485,46.83302497342034,50.85359587275713,49.10217719612564,54.318673770138595,55.80381584565572,52.70166979566193,55.114860793811495,59.04767486916382,56.899647345221744,55.05366650901584,59.093814417378596,59.8517974571142,59.44571046266259,55.620151791804616,54.25969419163454,52.79505149313917,52.933685646330176,50.52530907393209,51.94951783062146,50.215669405870756,52.69632255730718,55.14722154951784,55.28639655265942,56.540346620318836,61.73483401458754,58.53807993978847,62.74974453164201,59.99010626926107,58.32823685899597,57.963085472846984,54.562163852225204,54.9458057606738,52.044334276745445,48.46795465682466,50.736525825881955,52.11597956151682,56.2269463986769,55.16417203826531,60.98125468334408,59.25430711015026,62.756476410583254,61.30131015214329,61.06969299669495,57.19387694412531,59.27390787145276,55.60238767586767,57.62625962691257,56.01886204928994,59.04007621787987,56.89030222927977,55.7777291778644,54.175689983024206,51.92884458553531,49.93553186904646,46.93996944814587,47.92118385193672,44.27681894716934,42.86607917792936,45.76863873186354,43.121103730838584,42.12695019620467,42.49597426295307,39.56471752453285,41.510941663026315,38.27444920959386,40.5429351446094,37.21069749348761,41.769381802693026,44.39007926300207,42.24549299349613,41.96658284032395,37.242781352021815,37.67442491897677,38.90142498613862,36.15591132797239,38.46340179140137,37.79302874067698,38.66257120704681,41.26889365723049,37.073333520656256,40.02195985922149,37.96112759947995,42.42160267737443,36.999442446123666,36.57246781820799,32.203938471235716,32.29983295696368,31.4884198598933,34.05429858317758,31.62041829223619,33.70662553832463,37.59464768106421,37.51385333375193,40.33029513414027,43.354081721306166,41.15100416190713,43.95860280475845,44.57077349070214,45.73024380593317,47.823889218208045,50.757695915790606,54.58203203000592,57.4028385529618,57.78277537034828,55.953173773553424,52.61205689066876,51.33104132320759,50.16480826418556,47.00124563762306,42.5539963368415,45.00905623427294,39.236872733299975,42.63402539912443,38.65047736550078,32.8542802822771,33.47312836846084,29.820432759005115,28.64070118503464,29.07904942403503,32.09941336636641,34.19980017213183,38.858078100589516,42.600369310184306,46.08945535286136,49.35348280773858,50.36271412756033,54.3929598213236,50.59222353857396,50.79420234420975,46.01685631681822,44.93384729096233,44.114041934422495,43.071108792445045,40.768172440317365,43.11788145363435,43.41134934005035,44.71792348484527,39.58485745889177,39.44195048062509,37.075737790388416,37.83015921677785,35.55298823061616,35.14655182404577,35.957028707331695,35.93209625367459,34.5863487141385,37.4801829752648,37.02882314386407,40.400951741372126,42.337928574747075,45.05125096901338,41.98022360137282,39.92715281010604,44.178150719036694,43.93471770419365,38.34445240560648,41.560923163867116,47.0119029702379,43.21167673270282,41.932437775396146,45.594565501344334,46.74460790296439,43.029959748332175,43.678551632166965,40.57574665616285,45.98149790927369,39.08253784457062,41.38397084872071,45.39096782005448,46.37912426823697,51.26616707924915,50.083880733958374,52.85802094180749,50.60271421999826,52.57547134456931,51.27176633624946,51.97569211711954,50.01383519987754,45.28352567400791,47.19492551153173,46.68862468934192,42.61447850852911,41.57104417204673,42.16177820912663,39.234901388164396,36.94011457403251,36.47056220378993,38.19261117746523,42.70644196664722,45.6714952190454,47.8954965510958,51.618314235241215,55.65467499873423,54.53435087651551,49.853269750800536,53.23286898022956,55.92676702115938,51.82470581002353,49.995176566579204,54.18611855894964,54.10354609275309,50.189490224953055,53.15640485853917,55.68683421807726,52.76562350090402,51.394479215815934,54.061705846414114,51.0274904899868,52.503325578974135,50.875987292050326,51.74564306535402,50.62353589586259,46.124004629937446,46.748094303760475,46.28616103728582,43.996610536991476,41.17733073409941,43.501509051263966,41.6178181806904,37.7289839895012,37.46591605317164,39.34110514311962,36.975166188613066,34.25450941681564,32.86763555427716,31.52250137181393,29.791673248032584,34.8348268795896,33.210229330705495,35.97674152944036,37.004020847299735,32.657073963495414,31.454728480482153,29.260319536033972,29.847791313992094,34.233309537439666,34.647714490074634,37.05127858393761,36.703256989964885,39.80179924012833,44.740792362238125,47.496380493850594,49.238737623137474,44.55420020131331,45.73077932479468,49.77357716092417,47.555569068503736,44.49573258328988,47.341647980039106,51.49391456455208,52.57463479358201,52.46778969959291,51.91353524877842],[43.46488206903807,40.69355616373282,39.240164778299956,36.16734351314087,36.071593760351625,41.82595353421644,42.389165283204065,46.85133680112953,47.386246665107926,46.41580894423179,49.79918685354489,53.05467525366808,49.451465480127624,47.88434688949017,52.57880814329032,52.88576349124995,48.567871924867184,51.049018111253424,49.56051428877927,50.921412880114055,51.69524501109748,53.64805087086015,51.85986593709698,48.72120866918406,47.39794375594053,46.474828052547885,46.17615679881789,45.876878349680894,49.75805273295913,52.04275408537469,56.77910573294821,57.10387584776559,61.53063538426126,63.20897124336197,59.481525654355146,55.85176139786856,55.33050220661032,51.71387384409598,48.901119808350266,51.28853351167472,46.84774227475828,50.31180063153601,52.948433489898946,49.524334032841445,49.57707526339174,46.24277858467795,48.794969933098834,50.07749816425128,45.267652480426825,45.42499668893365,50.330225697498264,50.5699481580592,54.57035341100903,52.5555500656473,57.838899862635955,59.517482558126105,56.31010977545052,58.46408328232531,62.54164418223649,60.58840955637324,58.48446981452099,62.35749092406172,62.87171599951264,62.61327314977834,58.86563325917174,57.27883223206365,55.565894415816565,55.42591281169942,52.81382955292857,53.91969225929525,52.12692733346803,54.549912983395934,57.16004747058245,57.66449694051458,58.85905337462689,64.30737773918788,61.271750528738664,65.43322676250202,62.789069601341325,61.36051619282045,60.818781588794955,57.55769994486816,57.629474708314746,54.93668775311649,51.36675596512443,53.41532925926903,54.95297108648597,58.80996455217414,57.828340488505745,63.483433601957756,61.63479831653882,65.09154644490856,63.389536035550506,62.959739346806636,58.8926521546315,60.76701042729046,56.919498073804085,59.10531897971543,57.310764646364674,60.12788162805086,58.469926752827675,57.18166705208173,56.017933810099365,53.54095276317311,51.908777522554146,48.55328728365859,49.455762297358795,45.7885943609962,43.9576719512192,46.9215632884157,44.00607339331614,43.43487631068507,43.55014678754993,40.959638069196906,42.98062653000926,39.94112009992088,42.507214576497944,39.38182821265303,44.14057406432953,46.44084146371886,44.04779090388343,43.47821116312551,38.6811828147477,38.8980837790121,39.79799969994236,37.34511248798871,39.16729744884744,38.98585086431799,39.86691917632469,42.91379260246618,38.560616096117904,41.70467969393602,40.07512547934828,44.53352545713389,39.09919001787417,38.44076097331873,33.70006605422146,34.05287115093054,33.27662560982866,36.20976357200939,34.098830133104784,36.68046245151668,40.320266834756545,39.991313914686664,43.0037413254947,45.688153456036744,43.26145013179046,45.7702172411228,46.185463142383234,46.93289097097078,48.8440935342563,51.515993059358586,55.33292192061464,57.7743390944348,58.50652626490189,56.9759937102244,53.81130608281916,52.60671113581584,51.764435063847394,48.64592812570874,44.55912087612627,47.3128382323637,41.71080446583791,45.375324938921096,41.50295644853095,35.747147945908054,36.33995710860036,32.95328120414273,31.280322416771597,31.54160853146801,34.45417442192547,36.51142366512967,41.35093669132467,45.086724321435995,48.51310918154048,51.57508106960429,52.48912479977401,56.674595347830326,53.151568270307926,53.295544824955705,48.75006392721827,47.14254311339868,46.66345526049787,45.876310119870105,43.583180235204125,46.30229834105821,46.60081528547862,48.22461728714895,43.30006298012339,43.04694326715652,40.67408395729626,41.05831176991654,38.57540694574413,37.79377788270102,38.36542224666627,37.99561316462814,36.23416869012606,38.82480705732992,37.844267059473076,41.23841542318978,42.77013344281338,45.4609743891838,42.39950474937373,39.9475878716259,44.0341000657353,43.74060451874166,37.89827666843719,40.903728207955794,46.380175116005866,42.40874552395433,40.814205702326795,44.35255992302053,45.61482551207713,41.66679181172762,41.96637369110027,38.98460658801921,44.317757465523094,37.40752599418101,40.14090913377923,44.04642005235141,45.19920628623773,49.972490611151386,49.161697174599055,52.16803814896495,50.24534797695008,52.55004509138536,51.546734299067445,52.400113932315506,50.091218281063156,45.46206647905677,47.7889582851989,47.21493209646965,42.92903504810851,42.198215303377694,43.211470881412914,39.88159085371362,37.3251200402044,37.61710543846518,38.769027065687986,43.76314578055926,46.59209336680206,48.40299986000883,52.320578232340395,56.10937934545764,55.21943950791421,50.40995456049966,53.35643644042778,56.17132369487785,52.14633494694639,49.9394638895389,53.93851858789254,53.815411387235635,49.727496029323156,52.53047897940498,54.94862183964235,51.90258005397572,50.35751920803953,52.993824511230066,50.045009309453015,51.81070435198171,50.55305946653878,51.411221401127044,49.82895635453578,45.475412796314366,46.46812899064269,45.64972022518807,43.16546970204279,40.82241934308702,43.14028717394869,40.723769745023226,36.955060905462666,37.26254338067942,38.85080568410436,35.980720368301085,33.31342629021494,31.79389029897231,30.028647397720196,28.05537241178117,32.918272600134806,31.557504016743383,34.81051749615002,35.92010455482518,31.301742264222298,30.485223717898826,28.261706641040774,29.449521616413477,33.98776257236235,34.810464406027066,37.6564873231054,37.358462104846986,39.93196591270886,45.13675828467055,47.63392285955033,49.601627478720275,44.749500648706146,45.44105648840563,49.510020504629836,47.5832627769065,44.01327103786849,46.60109351829013,50.67088688063257,51.574566154156784,51.30086160106583,50.55464603820948],[42.6626444587446,40.137348431963524,39.18571213092374,35.590694769476634,36.10608704484549,41.313744917106206,41.860414541179146,46.43026763959964,46.45508970713458,45.40492628950821,48.61322277242123,52.109904464350514,48.70049303930116,46.660573765630815,51.428986645793294,52.05773209997551,47.76949811864593,50.205059138725844,48.598864218552535,50.41656949330887,51.134646842762265,53.44097197522187,51.54076951110961,48.4187317817263,47.19349039706607,45.906982577105275,45.91582231738488,45.425328984719016,49.29509492739749,51.67363613976275,55.93866817967201,56.659930002117015,60.97373189358457,62.685258576812195,59.1796981954808,55.49301512701053,55.30331714019654,51.74494807435486,49.15703114795395,52.08300381296862,47.34900887202618,50.360940739082736,53.26307473672559,49.94770126347764,49.883283553218,46.609043213938996,49.39135729273118,50.80808612712215,45.98911523106088,46.65292413592391,51.582444172630574,51.975597720664794,55.7504235305511,53.503048309905225,58.95723263356091,60.468910615385674,56.9552652578587,59.00992334141221,63.16437390703576,61.14217984186803,58.65412482138193,62.278912330308614,62.61805746313884,62.16519140103375,58.57580374885041,57.01392733192254,54.765934531919335,54.590516699058355,51.55889403449226,52.562043846766784,50.532094894635264,52.68236708344573,55.613668266196775,56.32668132976443,57.8072387416931,63.40299913199401,60.738263598363176,64.97440409097021,62.623010942508216,61.49605456812187,61.15057724878339,58.22581125402352,58.361202217422424,56.01665804005957,52.24566938897793,53.92733276970368,55.20613223224095,59.009340852121404,57.63641971886746,63.17076205224114,60.9865992383714,64.1801005199585,62.378004204823185,62.009730439532866,57.8944540613772,59.503698067709166,55.61054925162648,58.27735050301184,56.595671542698796,59.61165686997977,58.2372601977025,57.332492782625756,56.29680217505343,54.142365645665876,53.0452269914118,49.56290091058232,50.864507562192095,47.40831486841469,45.29057718585731,47.938640389869285,44.64466700864839,43.90143785595375,43.46797775713856,40.872029031836355,42.395306047079494,39.32308833044511,41.79377482225566,38.61305761658945,43.1008145322041,45.39706655360308,42.754772383877516,42.24491776705323,37.49006780136784,37.95362659115176,39.01598250887661,37.17777027751761,39.295581361889816,39.53065751278715,40.86093302330345,44.21180918652297,40.22055408705447,43.742182742672824,42.129835093384465,46.31045274713094,40.66708172128434,39.451041233529274,34.85474189634419,34.63809742059058,33.33758095419592,36.35116001480854,33.8850859122257,36.686803601506405,40.10587306960043,39.91739125061888,43.15482852323379,45.62234534808331,43.14769074242631,45.65031337879425,46.2974977242264,46.72541038826668,48.920600305694435,51.16309144605,55.24001103266315,57.26178586980648,57.95013138385915,56.704827306004454,53.49980719011006,52.69978050948241,51.73751262474027,49.12828870489852,45.104839896448176,47.64631683612204,42.14496846352104,46.075956591645536,42.62848785190528,36.810695238850684,37.992828334097716,34.88221660367646,33.23858859569989,32.86929410814636,35.88681206801768,37.453191106663205,42.465381433283575,46.12505004501814,49.34925222228803,52.40444612418659,52.862644039054466,57.38508274454054,54.02649966511191,54.441799329095446,50.07683273841267,48.38453595353476,48.44781351238942,47.929578580257946,45.37086022299178,47.861646453470236,47.711398735003165,49.68834514476226,44.721843804181205,44.93509789607701,42.88682699737748,43.06781585246219,40.92631672257993,40.102639006582756,40.8712297179854,40.71480732784618,38.51506953665747,41.2033969193464,39.99087016444872,43.007650201105896,44.73342208850208,47.01679669358519,43.699498668222965,41.488381589466556,45.55803551779596,44.749170683428645,38.83419522801914,42.11582270083601,47.379793984827685,42.8880978318919,41.39196787221315,44.98532383542992,45.83172035614351,41.64012759186688,42.22004273279173,39.51342301636169,45.081333714168416,38.68755762050664,41.53677108156821,45.46129706849108,47.15575375947504,51.77169418573774,51.51187942141281,54.504881974356316,52.632335989677465,55.06908083929455,53.917296651590384,55.18093295903016,52.898694323605724,47.976672450953984,50.486212454691724,50.3345448002889,45.89833414492539,45.00245054309014,46.32225915645271,43.22528600779261,40.32980351800798,40.50956760838757,41.20135565993105,46.090350820734166,49.05525029190121,50.58343432898489,54.39725415061025,58.08433344978318,56.94824183046096,52.15500467614258,55.00362056340393,57.56744066544837,53.350754879724725,51.18684920774791,54.98221748014616,54.57014784557987,50.481137298907434,53.54744361869101,55.67803109895766,52.27391024124648,51.05426938482577,53.92348204015705,51.20308233468826,53.282448737298466,52.15813165172648,53.38101157573897,51.58666866827125,47.020192890790014,48.496592389404725,47.79640244469368,45.055486853052884,42.893580390854105,45.71956524458698,43.144751426654445,39.07274773810377,39.83601623062378,41.76494526905666,38.6430556098135,35.72237649655235,33.62238694929937,32.252686405954734,29.617859429976548,34.23145334252652,32.35481537275804,35.755102192614586,36.26470548552743,31.562730297065354,31.264962979345995,29.56698539403262,31.024578216216323,35.647816578119915,35.95760180790773,39.09344046865848,38.18148750926814,40.566108071419265,45.90708421314694,48.419904562912706,50.08105224853963,45.052498874815065,45.75580416906485,49.63014122186307,47.40630779803976,43.72098294043868,46.500828622125454,50.38516539768207,51.32561804432433,51.09447464183959,50.285098142926984],[39.348220096037814,37.00407302882669,36.42457882390482,32.80707526345009,33.88095187213633,38.81540110428263,39.64829512215643,44.269250518391694,44.20581018628926,43.46038992358652,46.6578249568709,50.12894114972569,47.08289512473122,44.95175865526822,49.87008355030079,50.65905963662894,46.57204764089034,49.281617511963326,48.02111548233149,50.01479379047033,51.02423747351695,53.58876356383043,51.84935104454411,48.909167003207486,47.425966334339776,45.81401128534405,45.666021745974504,44.789717457377975,48.46541711191003,50.60118024574788,54.7956602657525,55.40667053906187,59.682493949494166,61.665352373365465,58.263097958523616,54.72240736341648,54.44207382746623,51.27934603978903,48.870716857026046,52.155921592405264,47.5319504518684,50.386505421923054,53.53941936387137,50.44494942453302,50.635722738426914,47.5430669627685,50.5392342891881,51.696156003532906,46.767998489592465,47.760572048677886,52.541523269793885,52.77251752576537,56.472279876870964,53.90149433121635,59.40096947816424,61.125177215714004,57.50967543667451,59.22296814103245,63.534976195412035,61.78051496022918,59.00123718054711,62.40762262817353,62.474887177458925,62.23594632705775,58.749347416299685,56.919084386235916,54.49043165226265,54.00073804677427,50.85757627042425,51.52793379422806,49.5078761977921,51.649096551998575,54.63398198852528,55.6955752890236,57.030304582489606,62.83757716715629,60.31342795234257,64.45229494637239,62.22165662306115,61.346294189697694,60.81447744134344,58.069473706425384,57.90589744564191,55.81836869067981,52.065786812861845,53.48536738200176,54.898056662365526,58.41077684198653,57.13297450919643,62.46093373293616,60.194273760519884,63.34779861989747,61.317094205401226,60.752839863725946,56.49584425608796,57.927060890866635,53.91546526979618,56.67466436102801,54.85029324186742,57.694154607585254,56.7329306559746,55.73648488681124,55.070986367339756,52.802812377965765,52.100134697884826,48.35346135729826,49.69263552376711,46.31674340955231,43.859865614937355,46.42618536033611,42.89892339322627,42.425933503008,41.72410867977169,39.427698056418556,40.95834528878073,38.10979029618436,40.819421113965625,37.902097876470236,42.56156386319422,44.481131883154596,41.666678364379834,40.87377533093399,36.13060910163171,36.38012902129828,37.1566817993739,35.63100223099078,37.40068879452749,38.0550995002897,39.4736690551352,43.166810541097675,39.23146885548602,42.962123587660386,41.68709011948489,45.72011572150005,40.08885291766082,38.578970739992954,33.825552682143055,33.6915766554958,32.38438639432053,35.65663230108045,33.5561215608128,36.80603849822174,39.898499753669164,39.449883514224695,42.82937825320969,44.92433540404853,42.275569809908355,44.47661892107433,44.972741842658195,45.03794877016607,47.10651559593654,49.08784087014396,53.15841515531922,54.86165943339335,55.77190498006816,54.77795657353278,51.72804946395959,51.03900871085485,50.32357604165267,47.843606697653,44.16753677716532,46.91251249087619,41.65374683541615,45.800891723106204,42.56255240890527,36.87315182682125,38.11713846117522,35.37262037657368,33.34532571726035,32.6841042559168,35.56350946587775,36.96502347801028,42.07391972631564,45.662278652998815,48.760261806392755,51.606891720995144,51.917033573644915,56.575641776537495,53.51239373443389,53.913768480617435,49.837130178220704,47.69904648177931,48.17816605225767,47.96135299282293,45.36646657358792,48.11669227648668,47.9055792253493,50.244629481629815,45.55819501405509,45.72921742229104,43.774612619138935,43.568038608240286,41.34283576785727,40.204675861882244,40.837300874476185,40.52059415317046,37.88698357050374,40.37935457693741,38.773118016745116,41.60074851631631,43.16188108975494,45.23922570295304,41.87380971324306,39.57155181030736,43.50455341217152,42.48307403291732,36.4932641746111,39.742068913246676,44.87848303287487,40.17208977046756,38.590658020415276,42.12027175085878,42.860154120928684,38.53289521638209,39.07483324510678,36.53720762258222,42.12853632491322,36.02858445403473,39.028365357948914,42.893721377118894,44.906114067971146,49.34473676162917,49.520099000409225,52.575134771923004,50.840341015766114,53.45112013015573,52.36192666195333,53.911652397252965,51.509791642451525,46.512306100549466,49.291462555573055,49.3627308438266,44.782516250939054,43.94063942207679,45.63008595170382,42.52454640793863,39.332185140203016,39.81302406944393,39.968599678230234,45.00437967431465,47.920178153987514,49.08795813005211,52.9189733846506,56.40696654056904,55.29429601519586,50.481356849973196,53.03876235468848,55.54601586448857,51.33586024664382,49.01170815305825,52.60960405008391,52.08424956866451,47.94168458553214,51.005389303916196,52.97174884857002,49.41818566450649,48.244067311937634,51.17232964389514,48.59372565278058,50.9015805411813,49.99525795433623,51.37263568327753,49.31572480269752,44.74138939142882,46.58694255114669,45.81331810880818,42.89705311081636,41.032019149324626,44.099113296043654,41.29150613410327,37.13253184800338,38.352282529203755,40.37682482915054,36.977127290318116,33.95058300844844,31.50610605881213,30.273724853733665,27.228389541082798,31.587294645513566,29.562972019901895,33.1460009202605,33.46094843014855,28.68562788884099,28.752907974356475,27.301925615048393,29.114594900059927,33.74576550725081,34.054346342682614,37.48911905381731,36.42923988929658,38.40825399264869,43.87383557540081,46.21493041391761,47.87391512925299,42.78862645365663,43.2140651021825,47.0147707315058,44.90754080557983,40.94931245330742,43.61341218231035,47.40019539373915,48.283006587575485,48.019298967301786,47.1575969950879],[39.87373088585761,37.84093125333603,37.78313071117916,34.00581789848984,35.68986507716955,40.14858880023088,41.12891802082758,45.77652654847854,45.39948295334446,44.761282532870375,47.81484777482955,51.386808596326716,48.62990267930114,46.203093062631886,51.174082269306524,52.206644264693104,48.23926435485546,50.971101328886725,49.72578058357193,52.01693185251282,53.03248352178645,55.82211741598731,54.04603171533106,51.155222620571095,49.719650142930874,47.867160674702326,47.877700158065174,46.82440258440731,50.411941290910626,52.51587237212054,56.383666974564676,57.18707798221713,61.35860609684765,63.43117672261426,60.20472425139025,56.693748319639965,56.57354650807523,53.561860352217025,51.326808575038925,54.921318589659286,50.2065175695757,52.77385769998316,56.08434647671271,53.0915791486517,53.23210753171036,50.20420679729252,53.305446463050295,54.51701633037748,49.62322764753264,50.863931934153925,55.61119162977697,55.90972399063309,59.47741485973411,56.777955480589135,62.334605265602704,63.99334880823266,60.23520186425402,61.84591016400347,66.1938323434713,64.43650375157964,61.436532200157174,64.65858687006087,64.58527388501517,64.25494167973449,60.90206624357737,59.06466797592394,56.29865715306133,55.73234881347843,52.319093660517936,52.83844509988833,50.67806701029365,52.60145606289485,55.80447629382972,57.07637905786212,58.56203468503811,64.47290934127221,62.22132632104448,66.3635004743609,64.33884899243347,63.683459033299165,63.222793496712356,60.698933866694304,60.502633948234234,58.64314095886305,54.82364543400821,56.004152468628064,57.30583261431323,60.70493073134192,59.244086700276576,64.42547012454797,61.95480502374669,64.91731779063437,62.77868882729142,62.199579523219825,57.896128980890104,59.09053268042795,55.03632418372783,58.10476350246714,56.30282616713495,59.16149801807157,58.529152048741615,57.69018661949602,57.23551151464322,55.08301699464946,54.75062137764924,50.87986248170149,52.362421279105874,49.107044665477325,46.42724852848834,48.833981081387385,45.08916894274414,44.679175037896165,43.62511588889661,41.477530625828656,42.73243533482923,39.97713602158898,42.664609237194064,39.82046308989234,44.28365897748619,46.097205523338324,43.110822213888675,42.28525019457487,37.64160485589501,37.965062349374406,38.709355338649814,37.65399750814384,39.374475987083834,40.38801010226821,41.9948776429398,45.90058381021388,42.13213945167421,46.016372205293045,44.87949131156903,48.75512121400983,43.10392552534137,41.316831165237055,36.61649418767419,36.29722092292708,34.775806433852104,38.10617736874523,35.936363398493356,39.32186323885409,42.20683610633604,41.79194259441471,45.27900243828983,47.15622941648367,44.46419519602194,46.5485178055056,47.101912865885694,46.867222436130504,48.994233416861334,50.62773997717191,54.788329055197124,56.09674752463992,57.10338337612318,56.38735623774044,53.410369696926466,52.9719647071764,52.30499471740084,50.131521771768945,46.636310217105965,49.31946093325593,44.219999621889464,48.50159556985091,45.51972246164377,39.88791445986321,41.35755592985971,38.79490807287732,36.72924254808482,35.80214716565931,38.65079820944866,39.80735730649944,44.95824921441421,48.46766958743952,51.42291619021382,54.18591358999224,54.24167006079159,59.068521583530526,56.180775272017996,56.691101038249954,52.788571823835895,50.5062375994831,51.29900578211096,51.24964836994553,48.5721485202566,51.2725010127516,50.86605864841245,53.38894059967252,48.74097481491152,49.0984768486048,47.27787812072515,46.95971975831616,44.842174626906925,43.633512441588756,44.2723988336136,43.95292109655716,41.09358544031108,43.50007375891018,41.66724791461429,44.30456625510097,45.780976987174526,47.64700382441974,44.22576268000434,41.921533032867366,45.71271273724003,44.453205231128464,38.447006631719,41.66446720285245,46.618514552314856,41.66581807980492,40.02303326341014,43.44870773792188,44.01310074700561,39.526906392993794,40.03434247230659,37.76287883967224,43.31681201917476,37.58945033656298,40.782139036926395,44.53269931123012,46.82464646064172,51.05532982821387,51.643771139598215,54.780231002337715,53.21318257870082,55.97810426158987,54.96335588208638,56.71019391258531,54.203614725118676,49.20578732639461,52.172820553900216,52.3637842360518,47.711229658486374,46.93572942446765,48.847382054056496,45.71211227539481,42.367214227975964,43.049892493456575,42.86680242319669,47.95449378000365,50.841331759613766,51.74476014424236,55.5597267976692,58.880570264173386,57.757538195866935,52.95743197641598,55.27485509104949,57.69142717315537,53.470432741468265,51.0483128304142,54.42562964899207,53.750070829240734,49.58767719352918,52.66663010566906,54.41912751967438,50.673374648544225,49.6003024137743,52.58924157479192,50.19396610715343,52.745414843218605,52.07001125703075,53.58135114720419,51.26086565849784,46.72651360499802,48.91035508801765,48.03933030455943,44.98147659952919,43.42787392392358,46.63332051823022,43.586694745773386,39.44967588958917,41.0480088842598,43.03844066769329,39.39735061917411,36.38085891350112,33.72195572236835,32.49093114290472,29.170198499264416,33.16974271663082,31.101378083101036,34.87248039444858,34.919152000368236,30.12672779478613,30.635170520544843,29.47069066873218,31.583939896208463,36.16994157266922,36.40442087856025,40.047011986725984,38.74927930951668,40.40516086848419,45.93689501750851,48.148397405521045,49.69464656869597,44.56045121729413,44.788143430712665,48.43422017634173,46.31871053638399,42.15768372322792,44.76235658344841,48.357667696347036,49.18439183531349,48.881192153753524,47.91692439248098],[36.20886442798031,34.3735420816419,34.69094131275676,30.638943383861655,32.820550189884194,36.73940586600659,37.794903716247035,42.43575799624122,41.77493972051836,41.2653709405965,44.20009115738699,47.81128652675716,45.37000371949316,42.7424638500021,47.77042944583224,49.00580842755977,45.234797579462345,48.10657215474141,47.1077360350859,49.63847619291555,50.85929806724824,53.92943080651573,52.28276630565042,49.59589067655844,47.98150230749632,45.78175418225828,45.75782913395347,44.36377862119562,47.75056516889263,49.69394767549352,53.30224845085166,54.165217879054055,58.230389414078275,60.473271494520716,57.424259571249515,54.030997928354665,53.9731580305252,51.29545797212141,49.305832791199364,53.32263887028893,48.648546307607305,50.89853299412969,54.45569098979891,51.720400535971564,52.041884201829106,49.23772040861699,52.55649438890674,53.559095422253485,48.63913427048238,50.31216715686482,54.87725315504551,55.098421537342546,58.47483974927396,55.46213316072518,61.05805865115459,62.80920604853573,58.89756383762937,60.18123206847491,64.63875876675061,63.09711909878066,59.761239639943135,62.69848890662977,62.35246854982821,62.14794368779333,58.954304551448516,56.919795859529394,53.88730717371965,53.06495088736796,49.49249719267982,49.72076952008638,47.53517449360548,49.37317584398306,52.653571242433934,54.236668217956215,55.66251923164546,61.72556409842311,59.70470328945121,63.75948956940396,61.934445045340205,61.57643286254678,61.0517829503028,58.81401488563006,58.4414010317783,56.928353041462614,53.08022131421546,53.91044388024864,55.18879280959055,58.3255028946452,56.80418153164632,61.74598065566219,59.12891454773557,61.96029113821609,59.64472834875969,58.952911550075804,54.57743914681704,55.562951978563525,51.45470250632878,54.716339302108715,52.89404909107894,55.72103730303599,55.43148508278413,54.732293534852005,54.53714397520929,52.512542466429494,52.67048854366683,48.65849826505555,50.37388873539619,47.34182966434229,44.39987105450853,46.52572435665505,42.5286104396872,42.141568146955166,40.68727938003098,38.73980695880547,39.74860616918629,37.18259586915705,39.941293863024015,37.33561013787744,41.76063296961777,43.24704506656473,40.1054550099094,39.10916623061857,34.58467564132155,34.85057239022709,35.47661695941712,34.915931841366536,36.58060092673667,37.99294501739525,39.86418856561263,44.01582246688644,40.585771817816365,44.71475681972999,43.763562550746904,47.3181427539634,41.66966596714149,39.460347730473266,34.90067756699791,34.321696287553486,32.59467874644045,36.025567187376964,34.042250851738295,37.759531462542355,40.242787291709135,39.6905399127693,43.292887522717464,44.78609620769647,42.005845646267744,43.854313022158,44.414592462759266,43.8358991512879,46.01240760042644,47.28688985690308,51.530308129165306,52.49139270043454,53.54741539535642,53.0830721778179,50.194180878889476,50.01159493192381,49.42263362281763,47.59810989341648,44.38801164346687,47.05249904412821,42.252175384427176,46.71317069629693,44.118048673511815,38.67975426394938,40.426584717101434,38.3079241941488,36.07612213885407,34.67791327903507,37.40449547146721,38.17951152778332,43.35054703362526,46.7100659979736,49.4408846873066,52.03430260816718,51.7866553948741,56.79040994076467,54.19627493059426,54.821606841011146,51.240936457570754,48.68618426404342,49.99398532600802,50.27034089879327,47.4736903409908,50.18675858931465,49.54493586108398,52.44929899069784,48.073290845435906,48.58898316166154,47.01721822763249,46.33348498281797,44.38027659666512,42.98736548011633,43.65574725931697,43.41187817478277,40.13892721440792,42.48871404130573,40.420632921241754,42.647238017809244,44.22656197182007,45.6819721550566,42.12198258172568,40.06945819159967,43.756751605623776,42.06786976490099,36.1587429223001,39.554908073730985,44.20726982787219,38.9195782817048,37.44017339796461,40.86842139392513,41.03999075052485,36.47463945382335,37.29960276653501,35.29452117686807,40.9816722594014,35.89641503692375,38.98766181315381,42.71094286644118,45.47278952060207,49.520080788454564,50.57595114304409,53.58452440270255,52.00433791068936,54.81124497716986,53.62652694422504,55.76937040513238,53.36082812040068,48.1259839973009,51.20986140351326,51.8599327672156,47.14157832136474,46.18733473818605,48.39528056240982,45.584016337343385,41.94695845691048,42.50468236767386,41.83811212572309,46.73615652399285,49.676383262991095,50.2750874906977,53.93199582744868,57.10328624338903,55.78227323478333,51.06436158929666,53.24832318093273,55.40831998463555,51.09145265953057,48.73920289191783,51.896657233204124,50.99141678104141,46.89767551577039,50.173887284817546,51.669701009739654,47.68961370492172,46.93533775964178,50.10017590967195,47.92927032568445,50.680326333357115,50.08574237318757,51.92945357089285,49.52071511376048,44.82339181479014,47.38930489636323,46.717536717432075,43.49416626892343,42.07216583280768,45.746946772487156,42.724023073566066,38.32045228743332,40.25762435175381,42.6452549717289,38.9458510987647,35.701303624824334,32.53815178221764,31.91763443671915,28.094353948954886,31.738789723393733,29.11847377465032,32.78042443170917,32.26226370644135,27.608274099203825,28.52974438328014,27.93425657077257,30.156067408124837,34.61489786865855,34.389862185178984,38.20088200073806,36.46069022374388,37.83239373896232,43.361591378044544,45.51185354250205,46.80488294006066,41.638379150103326,41.82852501715898,45.2628381953477,43.00046403823976,38.79151522538902,41.48750997604572,44.90709007228896,45.77692843281096,45.55252687974224,44.61690320664911],[38.09891351596158,36.47990272048318,37.08486529843348,33.49714148594122,36.01346307462334,39.98629583289982,41.419805312667776,46.04209862996787,45.565948525871406,45.400746524582345,48.38020564216211,51.86005071020785,49.65815419931798,47.14200859062754,52.23510475943107,53.4720498911466,49.82011977812398,52.843172939589415,52.00452421410347,54.47635564064556,55.786623823346524,58.82107354068274,57.21313921447072,54.52315576431001,52.861563232576465,50.70060465463186,50.554341425557034,49.09506682217321,52.4082316049371,54.18962311597748,57.922089745055494,58.57803743156823,62.65822348309036,65.05487461037742,61.984403210187196,58.68430487262057,58.44835151139128,55.930056819392775,53.908942512345696,57.81948039297877,53.280223938506744,55.677631250014514,59.205452050688166,56.451877463260644,56.82976124046787,53.98355648821627,57.24461692293458,58.2207614976048,53.25677091844607,54.747591636997306,59.33915751083952,59.46581119302382,62.96162606811202,59.9843708447883,65.53458166239255,67.4099919901763,63.58897513372596,64.85518699521077,69.3301470615761,67.84963134899084,64.59127866124116,67.5725132678854,67.21135107399023,67.10140864358546,63.88258045520099,61.78487224099821,58.833200773272054,57.92958918744057,54.4024470573484,54.52174741566339,52.378552941576636,54.22641456694357,57.49573724249227,59.17447641608618,60.504120919951085,66.61007790051694,64.5530891958866,68.55515375642217,66.68452896219702,66.30764423895238,65.63625284631239,63.31244906966961,62.76756637759327,61.18399749501786,57.4411048272034,58.346494718574185,59.80387421827003,62.84383119618166,61.51755265248831,66.41606657638559,63.86491164877725,66.7428575483822,64.3436384463774,63.52856286447332,59.086994687386465,60.0208464765648,55.85277930464616,59.02514300216168,57.04619125943796,59.612940378659644,59.56297950975987,58.56995208247281,58.61708739115189,56.291269762084575,56.404725040508254,52.246647399611895,53.66998670653258,50.514877083287864,47.458155024892,49.79064073225222,45.84082145852731,45.86566138859311,44.52451017780917,42.83694860051159,44.105157597744785,41.69165529284475,44.613045183073275,42.12539674845483,46.68193252430442,48.043908950471526,44.89358516185214,43.74398775315089,39.22538470487373,39.27207148247537,39.60454090946387,38.96825508325888,40.111836915810244,41.642708808164805,43.25072057070119,47.49620429079378,43.770520828485786,47.7683656672667,47.07910377194905,50.79321808464219,45.27981370877358,43.26930799917057,38.43368619440175,38.3270025502621,36.89293769999483,40.43897921023306,38.72702248773352,42.488121358756324,45.006941274762504,44.32013237069695,47.89809057722246,49.34176242520405,46.48983935045413,48.170587708852985,48.500004753101365,47.800611028026154,49.67881015901175,50.937862768293286,55.00070190376064,55.818224222707016,57.18426468277649,56.84198110257986,54.1350501373046,53.822646953164295,53.52155522160234,51.49486913713672,48.493454567815604,51.409098004063196,46.652456922856096,51.09547906291897,48.32839467853448,42.91170722989824,44.33787580506083,42.12794920321963,39.69773176119551,38.59677430989203,41.22495802688532,42.25564575332644,47.41339489343299,50.80749109392686,53.606890334255205,56.08550545487432,56.008916553840464,60.91856569725987,58.400752329397555,58.85297903228518,55.298039545976074,52.52069479087706,53.70168477910338,53.943787186061655,51.307525695940704,54.30280076586785,53.894348292582166,56.72344285726715,52.38574754870329,52.63546478583836,50.86175597122492,50.19546768461294,47.94647382705018,46.41824483403825,46.84272451004663,46.263793979815034,43.04074046232614,45.10320262479296,42.80614655132238,45.26028653141435,46.352361688077224,48.01963356984804,44.67155398252829,42.14184817658173,45.61575752428885,44.210513746792586,38.20604992327699,41.14285676983238,45.85750761617506,40.776015023595996,38.91383739793406,42.08418156539485,42.61243159105856,37.99082538753397,38.2038477027422,36.2656808584596,41.5904640916918,36.321957663434084,39.80539877181329,43.31233152632292,45.893637079688816,49.7986320348721,50.938852569753834,54.205191474276496,52.96986034836442,55.99652644963171,55.22671217082896,57.209999011843195,54.46884551165129,49.60177013802488,52.91272009026645,53.19452112243191,48.44408979909558,47.90197095764603,50.216404099503464,46.93002738975179,43.366499540426105,44.61846729469371,43.81833687233879,49.1267058463169,51.83728382467367,52.25734946127384,56.11921230236181,59.101728110736424,58.153118681262704,53.35955781941116,55.170461053558505,57.576525834840325,53.490409524095845,50.778229436941295,53.817627382851796,53.046011923314566,48.826253023842725,51.72689976400676,53.24244139774957,49.37358953482222,48.24904128205063,51.197384020662085,49.026904854202094,51.8820960139262,51.617047566657796,53.19631285959451,50.44736455681082,46.12007414651884,48.742563964850085,47.61770937281741,44.39992661916515,43.407369737536726,46.672407312730094,43.230738080990015,39.26105876739279,41.45530765233058,43.26666304269579,39.26361810182383,36.34583824262245,33.48988159357613,32.16865025113675,28.57913293833104,31.968956319491646,30.06997727009643,34.11885794559412,34.04740254741059,29.27647362635107,30.332432819120427,29.43291066966477,32.03890748891205,36.473367195668196,36.938299819674086,40.886661829455335,39.57333950511008,40.57569108172251,46.177065877054055,48.048500292221554,49.67758706604004,44.55355901573613,44.263894993716434,47.764854412238336,45.97342798951591,41.402706537161,43.66380330709362,47.02192897755231,47.674894025482345,47.24196670074593,46.11348726321378],[38.595381395982464,36.62061533839086,36.64762153135576,33.39174348609603,35.27219015159997,39.91672280421496,41.29617714916576,45.918340783688635,45.88933772970957,45.67729945637298,48.86727541981273,52.21405099719794,49.69445186181788,47.54995361180845,52.623584719420975,53.56650354994621,49.76716378382893,52.797232438748054,51.93830363124522,54.04726561731276,55.34338131486669,58.087545721122545,56.50247902661971,53.719718228286204,52.02201165437794,50.17681243162855,49.835358640623724,48.595294871648115,52.02848655282317,53.832392294068924,58.01260587944925,58.393692684102106,62.62511802542171,64.9432108503392,61.63510372755228,58.29916579260587,57.82725369215149,55.12929161531915,52.868158741558965,56.35332274643217,51.94102362719636,54.7415190620606,58.05940181772094,55.144599133380645,55.56065608246766,52.5948916401218,55.693991154266186,56.64037488748123,51.632677657350484,52.73832783450607,57.39667858036822,57.437436293814315,61.14203073094373,58.36267075934322,63.836472889483204,65.80237854600266,62.18669432205099,63.61450874016086,68.04130841473379,66.54106362263734,63.597053853205516,66.84224850252208,66.67773706108608,66.66650230915256,63.26391147806908,61.18830277471503,58.65885963566856,57.85830987542786,54.64500710959728,54.94994624179019,52.96252785122679,55.068871115003475,58.103683991106315,59.53130573293486,60.69007620975378,66.68813365829268,64.27997465199647,68.28957391101842,66.14356090823277,65.47047672262016,64.68937874349609,62.04789358763559,61.51649409864831,59.60316624402233,55.96432181436714,57.20930289750224,58.84677603653323,62.03142574160896,60.9671533287247,66.06713543452041,63.77412778837664,66.90408143811766,64.62457666911529,63.810802940382,59.398460094023406,60.61863742290093,56.47285424563035,59.2613903383508,57.209366039147135,59.701972814212624,59.29618092089835,58.01348031514833,57.857845377789346,55.28276166827374,54.89389584339791,50.83541835750784,51.97101714081117,48.594141515999716,45.774699894388796,48.40790530197426,44.73712596921787,44.82255648357633,43.95868330672645,42.14701217395373,43.836592919260084,41.32143082622959,44.31851596410781,41.73572162352577,46.56272206091333,48.06616854541771,45.103731783337274,43.96970534129014,39.29201635248612,39.210337613794145,39.51712886464449,38.26820297749456,39.3167738721135,40.444387133918354,41.7283443443471,45.75307576145333,41.679126507135415,45.4385563149691,44.66645575715542,48.66217148372613,43.20532463093823,41.61512095565633,36.58754313831046,36.87610621470724,35.78532855923147,39.31094837422463,37.72101159902014,41.32084661229257,44.135530805167875,43.392332706552345,46.843611210123946,48.56874011399951,45.74375147852681,47.54493754090891,47.74251653352143,47.38612973518743,49.11131999628341,50.820033263675526,54.73568857911098,56.01892828894815,57.36178775122893,56.69877873045769,53.93712478816694,53.26418410999557,52.982399118484466,50.49297800305425,47.30447325627213,50.37878899714629,45.40445618624195,49.68218869712365,46.52311456699905,41.01954194877666,42.06162916909374,39.57230883494315,37.1283353091849,36.46946074594999,39.11478414672534,40.54656532708386,45.6650229909054,49.18466318318374,52.2008899003266,54.76639785147747,55.06962664654092,59.74938684944806,57.010645914848794,57.270564553491766,53.48021438362029,50.82231922446022,51.54379320295038,51.544379903237335,49.06819657180596,52.21345997348389,52.126366034140794,54.6739271301641,50.26583208211215,50.2082398958207,48.18747464572225,47.700527943805156,45.20790366701584,43.729877416082765,44.051840866193196,43.33818342429089,40.42778413578884,42.488180401130485,40.37999704431316,43.20172753719999,44.201926938746745,46.25747032048434,43.05144176387492,40.30002773767032,43.89837425581467,42.92713409322479,36.84602809596984,39.654273304421984,44.68779514264919,39.98319886150103,38.02074942414502,41.25320909795894,42.18134479668961,37.70391736814555,37.705966652890304,35.40181764285778,40.67503683740854,34.72394420448465,38.17240867903165,41.773077342767856,43.891860310203846,48.041432356099186,48.65155302691859,51.96365303077437,50.652067236231325,53.583986603569244,52.90629512062595,54.54542030466019,51.77428314617029,47.06684691014377,50.24205296360922,50.176755173614275,45.48878330979017,45.05576154060307,47.125321475177664,43.62433435341516,40.28860546458624,41.61304798708855,41.20675612439761,46.66074604888707,49.31902704927766,50.02436852502521,54.0171147185161,57.158916585171475,56.38213540038203,51.518050331746906,53.501000553574315,56.14967855710096,52.153918569520975,49.40799273193033,52.71417735065124,52.197492170361926,47.92529142625594,50.66410870989031,52.4902382447863,48.905014378119674,47.47574230459337,50.265403445865886,47.825480335934024,50.410645685000745,49.97611063481443,51.25618580312969,48.69514829677246,44.45496455496075,46.65678731485046,45.43777137133818,42.39525890506275,41.171396003138405,44.064879270950044,40.713797043600685,36.89793910421498,38.71910421837952,40.29320538540163,36.42458753446108,33.63478914055535,31.197060844376228,29.476261262303876,26.32871715087057,30.16784359623477,28.658290473536407,32.698051977211065,33.189758313781404,28.308381459590247,28.849061440362313,27.406025191429908,29.839214480216036,34.37767186538697,35.252244116868326,39.02223994832209,38.179109832575925,39.46905154286421,45.05602537550685,47.00251323754979,48.918997771894546,43.84133885590343,43.627270696431694,47.38651818883796,45.764833301135106,41.290424341556374,43.487869856975664,47.11267133963708,47.76654048132878,47.30275890494841,46.23350958392979],[32.83071874914029,30.69621886542307,30.584473985685968,27.16697856278118,29.03780410020498,33.63204335980751,35.00598279999047,39.624547607987544,39.64406234232243,39.52771810991822,42.76644240062177,46.0307762258135,43.599221599552656,41.56979221047947,46.68161739527523,47.59451451415482,43.92077366259698,47.14612832670523,46.62476570182126,48.69114864568165,50.27331265818306,53.12344118450105,51.76505938493158,49.199058912404325,47.192080954170315,45.1653273770771,44.56703437243582,43.06006260514847,46.32289922804183,47.926441282944054,52.186850107617914,52.38222093511622,56.611453139848045,59.07300594524313,55.781535591985175,52.5748408933829,51.96751225718111,49.55990489535267,47.4173747356173,51.11152123617379,46.879546063434745,49.60180167465287,53.07207360566677,50.38566822575409,51.109085861845834,48.37016066276481,51.63433997922246,52.23212118813434,47.15544690207479,48.54764750556871,52.98952110311093,52.84350885409642,56.44655582678733,53.388138150995466,58.85140706088156,61.02992266657413,57.380385950508455,58.48193818749337,63.0177425095373,61.81558335657126,58.68235939721586,61.76750849502654,61.401914688024036,61.67315629990898,58.325881814472716,55.98766652436261,53.51231317197322,52.447322225259974,49.35375574556156,49.43916455554021,47.59917236331661,49.8643122309375,52.72933845898729,54.326803683225826,55.21011502595931,61.29539864808019,58.86234596626238,62.74857998866242,60.61743427119375,60.08149435745635,59.11125961103071,56.58379078768825,55.83256746871237,54.11126008915819,50.511712370611036,51.57227391745066,53.33648599401879,56.292955069329764,55.38856302875138,60.343684054653515,58.10508600267267,61.29910909854841,58.90374673655057,57.940722691554235,53.47278276112327,54.70317162366607,50.5227693253156,53.17649220014317,51.04069112435613,53.446754318034316,53.12717915092662,51.79635108213226,51.76976445623108,49.17787590610522,49.015020591468016,44.8632548957432,46.12380486197139,42.87719971596215,39.91336450993724,42.39466549742819,38.608684920313344,38.71363424851257,37.74220435742128,36.05620174412532,37.81476775863131,35.46147435511118,38.6330546238759,36.30680177747137,41.356995241341544,42.5272052805666,39.56230100384776,38.203654597009724,33.54364703364722,33.235440864425904,33.35614875469192,32.163778498726764,33.09676295539534,34.378645972522584,35.77926506503237,39.95198124214147,36.08190073368825,40.030710830980325,39.3939104976405,43.161986073634715,37.71484274848005,35.869283697701405,30.878814535969227,31.11392092386307,30.05071962455826,33.701373118766554,32.51820075198958,36.43778869615647,38.95131045746194,37.9479749344831,41.434927115788916,42.88672594371834,39.96814336098968,41.56429156032973,41.66140092776748,41.17998887601845,42.8653584545436,44.52966109235007,48.44839383620472,49.74589983156664,51.078078442357075,50.42035713508682,47.69817758312525,47.04078594956818,46.84660585478677,44.41805277077294,41.41964584002299,44.601208464186165,39.84004438619343,44.21976809976153,41.26060771937366,35.955942449245555,37.07911387652543,35.003428626535715,32.313308898980566,31.320634299193635,33.81967462538089,35.046769610909735,40.1704827533962,43.59460966531103,46.49058047465265,48.915184244022655,49.130000096676234,53.859196125668724,51.31420134160231,51.58404924994109,48.025903032090554,45.11143144113848,46.177556535120345,46.44132618790605,43.902440495653984,47.17289043907557,47.01594314682188,49.8707834945894,45.80168120071163,45.71887683532997,43.86875249142797,42.99223607553213,40.564420306862246,38.87832203750076,39.19996846311632,38.55657912395724,35.28117889112983,37.34457845723137,35.10945458132758,37.620849563339696,38.835182376438425,40.60171744927846,37.24920620483064,34.7719407522029,38.42824006486053,37.15242335923804,31.1183993845957,34.23205834323159,39.14674302630438,34.22875493006704,32.50620864117755,35.913063259510984,36.55919863660763,32.10191619342756,32.54641795816397,30.229751617820785,35.81764384817983,30.199778275845496,33.340172765169164,37.094623585496,39.567441851250535,43.753993690318424,44.543469949908896,47.611269744245526,46.07333961473688,48.916387287315665,47.9222687981287,49.897030600239724,47.35132724186737,42.28576460348755,45.44798033991634,45.88107529499246,41.145936023324055,40.394306575721956,42.664675790273265,39.61214772936644,35.986067817976746,36.9580141834574,36.220284357659864,41.433841906707514,44.208629686055666,44.786441042461085,48.620055531599846,51.760810553807985,50.74228225078326,45.93011912299657,48.00380078006483,50.44586717380731,46.314913815466646,43.729355244031595,47.024357703462165,46.3804820586126,42.173946416406835,45.17137203333601,46.92652594003719,43.23144640999011,42.073798744418475,45.050954341409415,42.66799027364757,45.26747247391941,44.6780718260666,46.262045258435975,43.85481086628128,39.302833071496536,41.66921323347091,40.81607307486129,37.669441785441,36.263639707605236,39.69001487289393,36.60229579776921,32.32849233846549,34.23819159835941,36.43350746852259,32.70688715362046,29.527401244326512,26.55196640131263,25.693361607038593,22.028122400856997,25.891036593624122,23.60171882683899,27.382885299524464,27.46024092597587,22.64457281827863,23.247632493821758,22.213505527647076,24.55339779209918,29.06214281730221,29.453812131543554,33.29773635446995,32.15801533355363,33.41227536221786,39.00109519619685,41.01325610027708,42.77270555831106,37.664849734034235,37.58805353242652,41.302925155728225,39.53012917741763,35.15070387389026,37.52987469363211,41.19404433757547,41.96822545117853,41.63960986466349,40.711997717342165],[32.62682172728903,30.960673920916797,31.593156332548805,28.13789269863069,30.85109241027859,34.77484964945902,36.42896242920877,41.02036244098782,40.72844832885792,40.87509088652971,43.94216493053449,47.24075923871657,45.26478196946536,42.96564330513607,48.13470947335368,49.31837036881589,45.872873734359345,49.19404585656444,48.819581102252194,51.17846933450941,52.850069943336976,55.94887803353693,54.61631143666815,52.15577233921356,50.131793815304974,47.825888513188566,47.31524975741176,45.54735161674839,48.630465543086366,50.0940428886924,54.01438486382122,54.32001530177395,58.41245804388242,61.04982288869409,57.968731427578696,54.86937263334699,54.361395709426105,52.24758199839298,50.325971957549555,54.35229675487708,50.1109294045955,52.537996427831,56.18693317898764,53.660696272319626,54.40847668491082,51.775712433290465,55.16005489578094,55.73866199632118,50.679692551073266,52.33725141027806,56.704157005864325,56.564298114768555,60.03169843536693,56.79907071158196,62.28891854310084,64.47223832365503,60.69726541680114,61.61024011183379,66.20257317829027,65.08452875107776,61.70268064822439,64.55542708225897,63.984550835825694,64.2530896100573,61.064097398334546,58.64578759125581,55.844978620483936,54.61254673312691,51.273335993088565,51.099908705855704,49.1589404665303,51.212035346181466,54.265311443154445,56.165865021535865,57.116175134412785,63.33172417063407,61.19175493620515,65.02249141901999,63.116929134862545,62.852205693166006,61.877315391492246,59.60451923106547,58.71974470295123,57.281393647999856,53.66679179545673,54.43934161071308,56.15104927074,58.888288363876875,57.8787523179456,62.60227131503088,60.17704393033184,63.17641160983532,60.61096675290131,59.55754727915698,55.01971383870157,55.957577152265316,51.717792967687174,54.65520732013875,52.48608570369632,54.79206042625189,54.95389734125444,53.71275179773742,54.03265846906013,51.49857178417711,51.7969658488414,47.47815624981149,48.83565128598993,45.751837644596996,42.503659479352585,44.797162324087694,40.787202389848154,41.08635653496497,39.71981939563522,38.33128929469249,39.83616051804551,37.694865769680234,40.89180047618563,38.75527319862982,43.632998909939126,44.56410529670997,41.42201460397684,39.93824146649927,35.44654426628199,35.11572536159877,35.069875119104644,34.44776846750239,35.1416589498305,36.892794406772275,38.44362769067704,42.86049373309927,39.19075073465296,43.26285813755534,42.87664459227059,46.43214767914571,41.05601583852538,38.927869648189656,34.01225856465009,34.13833641974029,32.92437931895304,36.63836385355854,35.528385959197415,39.625387830071205,41.85037327218719,40.80700635505024,44.38560416649445,45.51583223111349,42.53349652439949,43.8914535852765,43.966009625905606,43.0753587412954,44.7153281687394,45.93472020233077,49.874261929200095,50.649600586028484,52.186375445667565,51.90203816519346,49.35040798682249,48.95646403293196,48.92720933360819,46.827502244246006,44.163376034030854,47.33777765305584,42.848054341558985,47.35670529492547,44.694672667976256,39.53112282347746,40.824995266291864,38.99594795734077,36.21911046433472,34.9763752527071,37.36814631644283,38.34004468336616,43.45435647889686,46.75206854891367,49.46071992522997,51.7123358903933,51.66792241734615,56.539229095810924,54.27160242228686,54.61442930995881,51.32612985536184,48.164493339507615,49.6025329468382,50.08624049799297,47.50599362370466,50.794742785714405,50.47473786204399,53.55506078377035,49.61355250185063,49.65655299483804,47.935582118160966,46.88577262754751,44.52871095674011,42.71628926549936,42.98790178849504,42.277144954338475,38.75017466652518,40.61856198569701,38.0770947158126,40.333912552026476,41.338565043821724,42.83365902193873,39.48942570671387,36.967864145539025,40.34791857934872,38.817468856914026,32.84525943433782,35.793252035304675,40.4043059620997,35.25707049416725,33.418904294706664,36.60458073683853,37.06328207671203,32.44257757093341,32.74705710134477,30.832972258660703,36.254870187523764,31.219701356999757,34.6021045155669,38.12742978853979,40.93930948495224,44.801708137454405,46.14061203577655,49.29557533592986,48.03081002525599,51.07675145266797,50.23234116042495,52.44337759644214,49.75069947267781,44.76381749922902,48.172702193382776,48.73531370116682,43.946450523431466,43.33278086462633,45.89290871750421,42.797070522743944,39.018751286968694,40.325142631917224,39.12047664756872,44.38948455192535,47.059369078165425,47.24720019563634,51.05267084656807,53.91645593744777,52.95065176073253,48.18653994640732,49.866153126771316,52.206688634185554,48.137466346254584,45.38670316976084,48.344374769664874,47.53485613901407,43.319185937407674,46.25021708442738,47.7173321778834,43.822287415899865,42.74950079084871,45.75322910551864,43.63260041099036,46.54180964765568,46.30319597129711,48.02151848000654,45.25176242528516,40.841101210398506,43.63987659493352,42.62601757025986,39.32629912178398,38.40488478303047,41.93901094878707,38.54132245249289,34.39534745634157,36.81136830168461,38.88981143614023,34.880532968749506,31.79072314342178,28.60961519300351,27.73917936288279,23.811821392911202,27.023700108747388,24.789815840607773,28.778927804256032,28.549168759265214,23.81779561143294,25.0382529041131,24.399820327678825,27.120773972811072,31.442790546371075,31.832656056982,35.90049557795448,34.557266306792584,35.28506803361254,40.89336360251371,42.65526466307523,44.32885117879878,39.22233117236393,38.7856532340056,42.27791507372445,40.62534720849169,35.94948049268182,38.130276158844445,41.509753200124244,42.16789868907226,41.76039557453143,40.680985779294616],[35.11948864803214,33.47113314077515,34.01373997408815,31.256100636968114,33.84002812556762,38.158862021948224,40.09062648998296,44.62233528422491,44.74888975770565,45.14959349294037,48.35107634224365,51.449201532888765,49.49838130888834,47.50586644910156,52.69098696059012,53.707119176799615,50.28225286931764,53.707139748429675,53.42958749796221,55.54019665246879,57.257056308728494,60.159898483913004,58.8599990191245,56.336285073013165,54.27624641410479,52.18650247857665,51.48740625516701,49.808303693061816,52.89862617881231,54.24637360527326,58.504437512756446,58.48994853368345,62.66725209406126,65.37778862134121,62.15191614998938,59.11371135081251,58.33092076007942,56.244598563859235,54.16454521223574,57.84657290533421,53.79151587966359,56.56043197737004,60.05743963741378,57.423856357413015,58.22550500889119,55.488965533637,58.72750695975905,59.278663028011614,54.170914861945484,55.45463948669454,59.87840710375902,59.613478674772594,63.29356174242217,60.21437198956077,65.61042751614086,67.94168319933021,64.3643421292449,65.35902324460311,69.92968978086303,68.84560629199827,65.7122628419372,68.7492354143253,68.28158012509805,68.67230430457167,65.36185150038622,62.9169476901821,60.41446553565635,59.18977927776222,56.05796409439676,55.91455229139625,54.08732889554124,56.27533872650497,59.19815796309087,61.02264398270998,61.81681596530108,67.99365228069661,65.63409894873372,69.42375977520253,67.3292261196798,66.87920151003358,65.72665925472839,63.20471189555963,62.18637628297992,60.50182445058262,57.04729254856523,58.07736430396672,60.03245164595153,62.769842244027835,62.06768553723505,66.86220108160292,64.64026283856961,67.81002589821594,65.25211787208852,64.1055364113796,59.54427288539262,60.597011187065306,56.33608789169891,58.977234985744964,56.645819443550934,58.678667727264425,58.83968762914023,57.18285159616833,57.59368959464115,54.66348904469407,54.626713630081596,50.259571180637266,51.17304785176718,47.86583079704675,44.67505895214404,47.320857908490304,43.550321050217896,44.24879020522448,43.27166657195137,42.036238031361314,43.97983256705055,41.90590213612702,45.24549112170676,43.137658895944334,48.23517600749307,49.16872348086485,46.13296323245615,44.56220895872968,40.007070183240586,39.455827355455575,39.17629416662584,38.14385285999042,38.34024173653167,39.93550639681485,41.04651837360347,45.38052671343742,41.2663077339299,45.044932108784884,44.85459984054859,48.69597648808603,43.50862186498185,41.81734808293767,36.59579567670894,37.35215916915889,36.57868036548112,40.33960318551992,39.48887351592877,43.496073653896545,45.92265778818677,44.76133325523945,48.235270920675305,49.491610144942825,46.48306141970768,47.7740364593614,47.58326335536051,46.7976071149749,48.08054330563379,49.540822442740726,53.20965221095695,54.12246982789361,55.91301288130445,55.55181850582014,53.13925247018616,52.42635267992808,52.655457381488574,50.12519597152588,47.543376063941594,51.00004325775269,46.43595155459945,50.81365099394938,47.79275820795013,42.61668449027039,43.417099026982605,41.35508139547979,38.42483040140191,37.70260307388572,40.006750722070564,41.42228778772688,46.471834384490464,49.85538336003323,52.73672545881695,54.93199954387432,55.254942665472406,59.892071294193464,57.57008546975566,57.650972915337064,54.26032701802641,50.991393168075156,52.04174490535853,52.35275618222688,50.01882501669878,53.62166378989521,53.68305588874011,56.52739488246653,52.58034989747881,52.22938593840357,50.20069538613432,49.27431772419015,46.53305067962192,44.63961349311016,44.63087537395275,43.53630884106344,40.262481002420735,41.84011903019515,39.208715264029316,41.880342399016484,42.34676087849113,44.26783994057678,41.24338294277966,38.14683371292361,41.356633379598264,40.38435847196767,34.34109896753606,36.71074046239738,41.53440169205546,36.880130569982114,34.6162305082951,37.538944793475075,38.60481469215685,34.076849263900165,33.61329888142524,31.561434035744014,36.50629176341707,30.897312775193058,34.643272299417546,37.9680504507024,40.29110543837325,44.1357419405047,45.23371213812454,48.67062265124949,47.72418348133446,50.92558386089906,50.55769258661062,52.39940955128997,49.36480025110401,44.86989581457714,48.40934137349541,48.401992406454035,43.642103216046706,43.512382256819436,46.02532321732949,42.351174486833735,38.801873976557616,40.8399416742049,39.735043849599236,45.45045785587897,47.8463793104208,48.0210830713862,52.083621195867835,54.840289517117334,54.34568946803609,49.49438347425703,50.89853812356616,53.6116567676577,49.84647925090407,46.742086010371146,49.72311081523851,49.204593929080076,44.865464188978294,47.301495357200984,48.96756908169307,45.38646300010909,43.76295940243872,46.4276395398405,44.15662743380884,46.988391511171045,46.98306018862394,48.24555914895642,45.255501005995484,41.30706388100515,43.89104386669087,42.36265572914578,39.19518410663159,38.58812990195617,41.456828181181216,37.693487252645724,34.127328027810044,36.573894336289584,37.90079941276015,33.669636111505135,31.030682864992222,28.46296973249102,26.60262320363307,23.25454520608263,26.409183658145267,25.249635912625514,29.573825173730018,30.16069505353228,25.34140547054606,26.34597333832671,25.06937099909167,28.031194793025225,32.322046387304226,33.634509505887344,37.6765120000793,37.029011822638374,37.578023565692675,43.185882616906675,44.71181315844008,46.86188105485448,41.869838456770474,41.02935513654689,44.708241075264866,43.6144709541011,38.71211990353228,40.41256333736757,43.859205314092634,44.294425359863475,43.65757990120219,42.43164967910213],[32.44947114387671,30.421444471300937,30.407728561882333,27.846292365228173,29.90386986825743,34.699436873256126,36.57096744469207,41.07554897556278,41.561033343300466,41.964445829163196,45.32547746451588,48.27239672691132,46.13369238407563,44.48203246325013,49.63948655412264,50.42036485038803,46.968696164797656,50.47489585484843,50.352229920297994,52.17150933195759,54.01443235525348,56.75176071243557,55.59232264800068,53.12971844652144,50.89587624126536,48.94762863040264,47.98341267631424,46.333956817795986,49.40405126671469,50.66070086024676,55.26125814828938,54.959934383028376,59.23027674718829,61.94059957639202,58.563481423978565,55.57435089054175,54.55919597236431,52.49911692783749,50.31868317214971,53.78877871558296,49.94011181754731,52.93751269412911,56.34740822843909,53.731894846555676,54.715833850612164,52.02799162082981,55.22470080510837,55.57093764815895,50.421299337449994,51.58064459731831,55.913881485713176,55.49417149666553,59.25049916497646,56.17714415624989,61.49436889414401,63.99071134901903,60.55113544089887,61.487792535657384,66.06392803902544,65.1230457812036,62.12206781683462,65.25053897371843,64.82224841806314,65.41966064173154,62.023343584345156,59.472951424485544,57.305623925166636,56.02793865500935,53.19496906864522,53.078488684563894,51.443794254749754,53.88098614039537,56.539599599620466,58.25811392638188,58.792872542234846,64.9112478409117,62.29834372136529,66.02010554597837,63.74486111857275,63.15578083492726,61.8356694234946,59.15525046847987,58.040637977878276,56.22279265576119,52.87500464193366,54.048946732412475,56.18886966315468,58.90483222182413,58.47018365178405,63.31985252789204,61.31582017514194,64.6849825408627,62.16832947817474,60.95822477474195,56.41100286421859,57.67529605699588,53.43417305097826,55.72034903982307,53.3089284706086,55.246962371861315,55.17823903610623,53.297610346542115,53.61611593860513,50.508943706764555,50.21877779298309,45.88807663445916,46.65392250235809,43.25584821035595,40.170512515513025,42.95823402703377,39.34879903657268,40.10210899979763,39.43440815773411,38.182313497303795,40.46269669540814,38.417049330034196,41.87538081461645,39.851601224683655,45.21176664363864,46.07133457567114,43.19166315720227,41.5331110414034,36.91481903435786,36.15644549748335,35.759812014424085,34.30467123990556,34.351435207782615,35.7136361109058,36.62908219183577,40.865161344733664,36.60518832340057,40.29804629027987,40.12858600299958,44.0458998162559,38.92706238052394,37.42391296841899,32.09663145638771,33.14279340537406,32.66456448079866,36.44316589885617,35.918871754100074,39.94003642002326,42.39470411991449,41.06394875552681,44.43853969280395,45.745356581054985,42.72714135967499,43.98986195342708,43.65044290629444,43.06018711812736,44.20604804639747,45.97836095566915,49.5325842085447,50.8102087660717,52.55531089016179,51.95255100892557,49.52071467367789,48.552189506728354,48.833170644028776,46.00290117718214,43.39454879103152,47.0080624453776,42.42623553637195,46.711360377482734,43.52740211015735,38.43689633948347,38.98373056533057,36.962902445672235,33.89241688169773,33.331108912721874,35.53879318029884,37.13715011958715,42.126591476735506,45.53452507992224,48.49828154639937,50.67506218755536,51.22700051869077,55.70958404775001,53.33237609928088,53.27990772664929,49.85239179012354,46.54301697414543,47.43831649965192,47.71560334085822,45.47397067993139,49.242651204290816,49.49911155982673,52.29177507575417,48.50074071394337,47.91422604786988,45.81000360695794,44.801567794290776,41.92338825430936,39.95328483037716,39.85788351085836,38.69502229614439,35.45386503136244,37.02010656668945,34.45459995998742,37.24181420082967,37.7590366741591,39.823461706202544,36.82405339718549,33.70429060517721,37.05826689452562,36.25393112365681,30.16878008887789,32.619493071868874,37.64664274451619,33.164721551229555,30.963915642534598,34.05578694446684,35.272873278554385,30.878348626755916,30.52147688295864,28.144022204762024,33.26582186896242,27.253972633340144,30.793745815422227,34.316993501170835,36.48874887290515,40.58532754968352,41.36151154361943,44.688086311174175,43.51757023934313,46.59168640171516,46.09223219597029,47.86785433426475,44.94599883748777,40.3388072044399,43.76791010856603,43.788163755885016,39.03231072974535,38.79290397414694,41.23991144248619,37.653309981378214,34.09126824249474,35.99091066688704,34.99437049763525,40.69860849342221,43.12785638192132,43.45931653021573,47.5341440056817,50.42657928489779,49.91268975415833,45.03160510443357,46.6396358425259,49.41958404278228,45.63581479817712,42.60720640991742,45.803032041168315,45.40699224930131,41.066709534879735,43.542878779182395,45.41770622941771,41.9911617301904,40.29789894010455,42.95949440534801,40.497761229548075,43.120792255632935,42.87236432631532,44.086437062207615,41.34608308482604,37.253987651908034,39.59979361794543,38.22171589419216,35.11984031188567,34.19794380032259,37.10856353361265,33.56913129932306,29.813512348482572,32.02105734629059,33.54908006227995,29.491035295805762,26.68359911729405,24.11251517877524,22.42471187770925,19.083367122763335,22.703821558304018,21.387353629202952,25.577211990814043,26.402531091014215,21.5219316013282,22.123441432675918,20.601420395068434,23.401890333682285,27.775764223117548,29.166578268641636,33.10995104998764,32.67915805441267,33.42627007568041,39.01623889281313,40.642894041419325,42.917763567063396,37.95515769569706,37.263527729475165,41.11500454127431,40.0560785762252,35.307487829296946,37.07024905845757,40.74472987305498,41.2613226804239,40.69265265491089,39.605488087395926],[28.90318066627442,27.040138155315827,27.412917765271015,24.607575595677528,27.21144755965057,31.52116790588393,33.519421311728884,38.02256685357655,38.29139780987001,38.86209320929588,42.13143120883777,45.08216700368065,43.24626524144301,41.46010502924031,46.66110137337004,47.60327579334737,44.34822955755346,47.98772195980323,48.10661664632877,50.10425065131624,52.1291204394025,55.08749891363679,54.04866642627133,51.77072864419421,49.38772299221822,47.159535615339315,46.14975909424742,44.204620957809105,47.077062421762356,48.16827973439984,52.55715155425274,52.27609533109446,56.45133555758728,59.31901499438534,56.09679671530092,53.2261675266392,52.248088851946434,50.50094468518339,48.53959898243188,52.36558072424581,48.57199592018767,51.29128636344005,54.900023629568366,52.51354955825604,53.64863361719979,51.15792054167786,54.522257346741824,54.694945319111326,49.54495309950269,51.06800512748687,55.23077691908007,54.75284281371826,58.33048211345354,54.9945864024962,60.33221398836384,62.90073947913103,59.338223638359665,59.991016545576784,64.65099244288493,63.896670320042574,60.61950710481178,63.499292678625906,62.839553331773985,63.5513908300941,60.297774090248886,57.58204602902973,55.211983820718984,53.708879347730345,50.77333944453786,50.39672659528892,48.769294519698924,51.147323171128285,53.83442768921013,55.81509066523179,56.269900540196396,62.50238026472387,60.081245229580354,63.71320816251971,61.607965990856194,61.27484853631654,59.89399851808019,57.467044401140065,56.193112671573125,54.68706044066548,51.321802000065276,52.18459710328863,54.308841866225556,56.78231657148421,56.3121596122561,60.941325578324765,58.826087558700046,62.08707811059471,59.41843315677147,58.09872237587222,53.491691717092124,54.57946859391658,50.29400923432033,52.713757384916896,50.266993944467174,52.150509529299704,52.39938021898463,50.62082432588981,51.18846985937206,48.18211510321581,48.346967011048875,43.88117241337847,44.86381453979524,41.6816170554566,38.33596670997096,40.85529095963025,36.9980271593656,37.8031656220603,36.7729947923886,35.74061572944749,37.83872399107972,35.99793725512909,39.53339466333403,37.75557342176973,43.08262449334214,43.63141618794244,40.64426328537242,38.81195249054098,34.322741976008295,33.45676001901496,32.88977374453177,31.866482343915155,31.784342401416666,33.54692890468221,34.70276651826664,39.18047338731233,35.25298892067865,39.181608847008256,39.188766412205545,42.78733924034716,37.684222276803574,35.78722417550868,30.59884162990339,31.42408582899848,30.794142036306802,34.6567772366244,34.347102132597044,38.63165525914493,40.72429566068947,39.26089909646273,42.71572509850191,43.670901655375616,40.577422558216306,41.60312001261154,41.24338664981835,40.32871280022501,41.489057187724626,42.93853179516305,46.558011861097164,47.52252835272315,49.33579481516963,48.96066466364858,46.62167845172638,45.8694760386235,46.24567508109296,43.718934855084505,41.39293420883974,45.001050318737086,40.70925946415386,45.13776267750597,42.308049121101156,37.41905686535219,38.21186317884464,36.60560999197574,33.41188003338018,32.41443938045084,34.49192023430868,35.73321033990658,40.720539882480125,43.98077650537201,46.734068173038565,48.74665178305629,49.03068985549412,53.66274916160737,51.55769532362694,51.60610469435318,48.47930495320514,44.921560123517025,46.294740349032324,46.872461993173054,44.524302159753226,48.287785303126526,48.33309806684292,51.45088660797539,47.9077060802188,47.47164062460596,45.602607671095164,44.2784428791554,41.57532621091812,39.4543709153243,39.39757309473364,38.32999862414037,34.695970809556975,36.20990187486641,33.41527455363701,35.77403385937508,36.403602108241266,38.044137167645665,34.89576203558924,32.02718110444694,35.28332822832856,34.02474756194765,28.00112724949001,30.65909723925005,35.39683094713816,30.528829510668903,28.4725929532856,31.60070962500895,32.41999840859883,27.890102541216105,27.863214683911878,25.743938149072473,31.080964541261505,25.751793836118996,29.184883234073915,32.70528039887781,35.40809147391097,39.3224010208744,40.59472591700132,43.77265662265526,42.569547491668,45.67581219748402,44.983252381768345,47.16707306762683,44.36638654235292,39.500969051361295,43.035056343245905,43.539966464188645,38.73445150104966,38.28729086728606,41.0189674341894,37.808434175111785,33.96017161551063,35.67704220285262,34.19352739419929,39.68055852961534,42.16976704776548,42.19970840357395,46.11121032197139,48.86411873335655,48.14306170263221,43.336683522023776,44.82004740226417,47.34683553437393,43.45516805777932,40.48705791779296,43.475030151645896,42.84772244665806,38.55202600945314,41.245260764264,42.87083689400748,39.187461605026314,37.8068952317203,40.67157991223303,38.42773486138192,41.269459357255776,41.09466207177827,42.664681575223995,39.83814755853787,35.545874051882514,38.30366001313549,37.15402630981128,33.86710027915805,33.07187388702529,36.505969888685975,33.02197275890909,28.95273123869235,31.519817334733656,33.505690756366114,29.4312439661173,26.36128045630401,23.187992383940095,22.285618456028086,18.313117305157938,21.498321293767432,19.45877991062565,23.57444546147295,23.779777719228925,18.967413467018872,20.07890585712835,19.230380585607453,22.172908594797168,26.407400102009916,27.30936917703736,31.444171475649878,30.573522263194622,31.00916442374769,36.62442611170281,38.18765441788609,40.2352562412738,35.22165010604214,34.46387373676077,38.136410639816745,36.95879200113096,32.10846222924826,33.94918243313791,37.48676360472969,38.05078407022828,37.5552841965687,36.4915053135753],[29.432580139671153,28.057174565104344,29.091494126579015,26.60757709322094,29.866931121184265,33.65527239554209,35.9935972983347,40.39424264800996,40.560585345685446,41.47002046597945,44.61930215719127,47.48698679679661,46.080151591003144,44.20623894721456,49.42900883748042,50.52943716618158,47.504746624799374,51.2581998237251,51.55765376092567,53.69514867377636,55.82052781770537,58.90883105960279,57.917605291002154,55.723002289592515,53.301330429131504,50.92161556451125,49.90527425102358,47.77124190297253,50.47326049572059,51.38209754305446,55.59701943995137,55.269894374465615,59.34110835390664,62.390081681061176,59.30570513689606,56.57239979924066,55.56658201639913,54.10732635676093,52.28730267056906,56.26036879377329,52.55421247981469,55.137356304493196,58.83739147657063,56.56685559845183,57.75463569030875,55.33766683803502,58.74897334747577,58.87395791979634,53.73244987561359,55.34820583472163,59.4496404199262,58.91936774514306,62.444090265259504,59.01137809551474,64.32251444077392,66.95810126744985,63.36677385731336,63.86948568909026,68.56264704894666,67.91483802982619,64.51620492014553,67.2537441511125,66.44859745135355,67.22590372502344,64.06699320244503,61.2631040925406,58.74598208737442,57.09420819032657,54.0522438373326,53.45699215732443,51.80752266525137,54.06056787840141,56.83080782389543,59.04306399041885,59.4708133394964,65.7814327365018,63.53026129056925,67.07926248013435,65.0997785590111,64.93550246267802,63.47281174448953,61.182582186331985,59.73301817190484,58.395358875379586,55.095752634793946,55.79441897497324,57.96571700076026,60.22650215120799,59.8002477206288,64.23380191925021,62.04968764525484,65.20508406777655,62.39445905894831,60.95232251744706,56.291556139925035,57.16837891068981,52.842310246659366,55.36210043644151,52.825912714737676,54.48518395853433,55.16857143954163,53.30401041070658,54.22101819521271,51.12436795168037,51.57652525582934,46.96893661308049,47.86497835015842,44.77284061200346,41.21962974514368,43.676630459007036,39.74785248038946,40.8743034895072,39.65670258786709,38.95579143613136,40.98770438136291,39.37435730043615,42.96379374945207,41.37256782831583,46.62247273009063,46.95582549673708,43.87860631125514,41.90999898947758,37.574639104545106,36.60774575456613,35.80839923015705,35.128739111357646,34.6475764331947,36.74189945132953,37.85347223440573,42.473569630914554,38.601706658885476,42.49873595860079,42.79919904977221,46.28274490174321,41.34883353522799,39.37832340791409,34.202492738260034,35.14556522163502,34.549987749535894,38.447043901262994,38.29265291986448,42.6796686327474,44.59093339750985,43.05097059026893,46.52592541349288,47.24450892216331,44.10213074046822,44.885434333372885,44.40127501395986,43.17405997184804,44.13677132547533,45.27113130864736,48.76412753590652,49.30882920660451,51.40504215001936,51.33610283343245,49.22751251036765,48.5835836687348,49.21272356758246,46.82404079808981,44.84570984995396,48.535096051388166,44.47855131932,48.94804071474109,46.25606951911514,41.510493391174215,42.271686614153076,40.80323496548401,37.50568927647266,36.48049432847326,38.4262645031953,39.59555396641788,44.51647904341066,47.6773952971847,50.315205225179376,52.14010167987655,52.33596836669174,56.98128331181837,55.11505797079683,55.127527646554654,52.21834578951514,48.414916595561365,49.972642990934055,50.68475015659478,48.39913701143526,52.280092341586645,52.32323338693099,55.54490159054335,52.12838915018867,51.65861194602277,49.799905720808,48.36430988780626,45.60371578474298,43.356596347449376,43.15811304572314,41.911344744773444,38.17259559088178,39.39598558893793,36.32525718992813,38.567421598348176,38.80010439286475,40.32302517594109,37.34032707703806,34.25654090461919,37.14131649105622,35.86973640635793,29.975843338501537,32.20355288472629,36.66498758462368,31.838161417134202,29.529195564915188,32.28873890281848,33.164206429927134,28.57888056044361,28.08863463321706,26.35032674501801,31.248658504323085,26.372079249081303,30.125476678346214,33.29626894090484,36.13127900912211,39.68661168654836,41.407129492211915,44.73593789979466,43.91749521756037,47.249865478740595,46.87177900767365,49.139015792038954,46.10190551053213,41.52178814331828,45.30325612852949,45.736333677772016,40.9341197377621,40.78406947587237,43.74731520497401,40.33997627629792,36.464951862010096,38.716105518132565,36.85086747430748,42.482895268041986,44.75539731889663,44.4123185877467,48.356564128853854,50.789844581494634,50.296550742386195,45.53979039975712,46.53886820002283,49.089392936050636,45.40262643956888,42.16983302833738,44.821703761575044,44.15714341832098,39.843596860310164,42.25395923721715,43.66937216498255,39.9515850660846,38.44412200959924,41.177565289796085,39.14745908887899,42.23659514873707,42.48649184386726,44.00594990518165,40.77394039895726,36.83048836529507,39.89854939414434,38.42392249150296,35.0714746941951,34.871939444670446,38.13672762247528,34.26981723184159,30.586516985334466,33.61531007646524,35.21095718317305,30.84950231671628,28.07421100796638,24.98405111847116,23.75997488948012,19.854344937971124,22.2223890401018,20.71723253182703,25.052513708346556,25.278405659532172,20.667149115523497,22.25377260865359,21.57665065123048,24.860495113716,28.80408436269727,30.0223242905332,34.2793800711922,33.49633751541472,33.37645933528632,38.93316900073162,40.15343540404106,42.30208339721661,37.37916713247865,36.13298476248632,39.63043177043293,38.81072931098292,33.6540634401525,35.080026645690026,38.327028463584796,38.66810143432771,37.988190645506904,36.72378132067993],[30.794839813560912,29.020468269867294,29.30924432999762,27.589836480129506,30.041475856145084,34.667255958481135,37.05056856311388,41.366537293053845,42.1856078566743,43.161376087851494,46.54992296551833,49.16534013257468,47.48218006173072,46.132709784714244,51.30485839947555,52.03836711408787,48.92379089519374,52.73015966796431,53.097050249564205,54.77391090640524,56.9393308402975,59.677957095837485,58.7678135390868,56.50813799008243,54.00110525420827,51.98733957369188,50.675188013602686,48.75428771132562,51.521727081852006,52.35915579385011,57.135556822209146,56.37759004011455,60.60881383096711,63.622560969301794,60.26591792520806,57.56257973396931,56.189144391464296,54.6366093308442,52.5525360042715,55.98052781330164,52.54453090613331,55.625304070527875,59.06863186831417,56.656843985276616,57.95487469972848,55.43774836372758,58.64843963994982,58.666189161893115,53.48272082323086,54.61619347631362,58.729265587516586,58.02503416829986,61.8037169908207,58.59073219966595,63.75278127743311,66.57685427031087,63.2814376802502,63.904805788874704,68.54322389541753,67.95283061410765,64.93783594551209,67.96104373746157,67.35171578477112,68.31153137593175,64.9582777032416,62.13404952637961,60.15281136004123,58.56858794521957,55.93559342744107,55.50274032513287,54.06881591959566,56.61911773075579,59.090314587188274,61.04783310739988,61.2167142360602,67.39564624670007,64.72872871956966,68.23251131678812,65.9219108101447,65.42192378121537,63.74483539622595,61.07034872019963,59.529229095135385,57.80132844037586,54.70827255511672,55.812130796674076,58.283742714421145,60.625908177678376,60.618891896461655,65.22744624689533,63.395371496501085,66.85561656415061,64.15779740327585,62.66298177047979,58.03788250583803,59.23483049398428,54.94335904366804,56.93202434503062,54.25684881055712,55.695137936981226,56.039124030472195,53.69051077784651,54.476421129726425,50.946779329575385,50.7806182872715,46.245878510957716,46.62789995763125,43.237333320234,39.931156918569314,42.84202706697955,39.33121547304936,40.7392120235956,40.185740359205276,39.47586371632785,42.115568796403856,40.480696058275875,44.19702572500666,42.58587901850614,48.16011430279704,48.57871154295168,45.74393629453201,43.745094024169994,39.28128193259263,38.08059464019229,37.13477380027526,35.680562569802426,34.82295755686599,36.443210729357794,36.99455625486305,41.35397379257736,36.957733916479555,40.46287956145504,40.85985534023753,44.69577440903272,39.97588576989048,38.613128167620644,33.14047307366081,34.80755311007411,34.78822132617275,38.664599723368255,38.835641151760775,43.04306854486208,45.23600270124946,43.55653060605189,46.8396528405639,47.81911809759274,44.69935387818721,45.51696911235247,44.75868465909056,43.90416304065215,44.518734456311414,46.20530142066422,49.38750960852281,50.47091490764218,52.6462158111801,52.22077358348903,50.14695253482877,48.99801476759294,49.78784269930017,46.76022606107893,44.705675963035304,48.686008415892914,44.46917904998132,48.70173869525233,45.52706372086308,40.80002663585763,40.941614117804505,39.222477129804446,35.78436121226833,35.396003878827194,37.22869489741974,38.95634177656902,43.7527924278136,47.02788174149371,49.91429383173183,51.74559187925592,52.47341335329,56.763501126805274,54.71253295616895,54.40446930703576,51.29357235163498,47.501030507934246,48.4817101502607,48.93552205352792,46.94464710865398,51.14849622240368,51.67621997315768,54.566156313002175,51.19286670731058,50.22805074517682,48.035021503039246,46.73718906946833,43.56192201516356,41.26259312269008,40.78262527039968,39.17664940111546,35.80627278623977,36.8078993098758,33.81560437539358,36.59813197681896,36.42855282007132,38.540292453218974,35.88372264903066,32.27663032303862,35.17944811191429,34.65182813867949,28.683912685111835,30.44880378063251,35.34570619845766,31.222260094123907,28.61466281867443,31.298631485401046,32.92040433386466,28.62276453136661,27.530439595176794,25.282337608538295,29.858166456334928,23.8745392832374,27.77106554341297,30.95655382490392,33.05674561967513,36.88668372567513,37.94722276692126,41.46613681541705,40.70429230598553,44.02911871165826,43.97260420193739,45.751025103506166,42.50796464494789,38.3116121900242,42.0567722444484,41.9089018470898,37.15827181905434,37.36624455387942,40.13798601040255,36.244148999182805,32.63961671408961,35.406234549879244,33.86875552109851,39.87986876288447,41.94265472272436,41.830653831166565,46.02583346670748,48.544699532515295,48.45588682018396,43.59718821037395,44.615769584425315,47.58782801362461,44.15527436751531,40.722927111478576,43.65654432094658,43.40599647567705,39.00160884996318,40.991500315842714,42.838702167013764,39.60849035293239,37.5147745213994,39.90198540312906,37.5018871482383,40.24814771562044,40.426592357197585,41.42099394089408,38.278463770275316,34.647382600384155,37.1766895569381,35.348640946430436,32.229794620635005,31.959972190474346,34.54305794700045,30.551788824175688,27.29308159385814,30.021365680171716,31.02411574226103,26.621039654967372,24.168265716017984,21.801826039846517,19.606010608677646,16.42361991160466,19.310230907674626,18.877510975469107,23.350164771682195,24.67182064733642,19.97589669559441,20.815731154780874,19.184271357125937,22.45315667225968,26.434672341267124,28.59250975640235,32.63955319857054,32.70541020774428,32.751829278340786,38.24421491158318,39.40665622643029,42.062977914872754,37.30255172921131,35.948373442356434,39.781708735657986,39.41513156287008,34.32787051369378,35.44498074484172,38.99937298502288,39.238994715148465,38.44867143095634,37.21528535335121],[28.226411919771277,26.062014502411714,25.82038659302033,24.022364121519992,26.003809552613383,30.97866646191072,33.200924719947835,37.52520350243517,38.52053182314937,39.3915244377554,42.872204875042684,45.43170706714328,43.55325087311949,42.394615529693475,47.52399742332006,48.10874324351734,44.95206834677589,48.7713311768345,49.212230822859276,50.721030643785845,52.95394260661032,55.608174474238815,54.788843350957535,52.592548893795886,49.97842946119817,48.02896757408263,46.57123758655914,44.66762878209961,47.423617870659726,48.23979394453968,53.18816997554402,52.314329571643356,56.59846326593003,59.56733117910453,56.12822211704452,53.432681273993275,51.96802236531845,50.40127459986297,48.27779889704214,51.631466917967785,48.29162643757868,51.45436177314079,54.861284432696635,52.489964706568074,53.90383579541487,51.45408259856455,54.66287433338161,54.538601117742935,49.3474942583135,50.491249449498525,54.517672388127664,53.73816201520569,57.513226347912,54.267015982898414,59.39664475974765,62.28993969478851,59.043716610948124,59.61215715976038,64.25620560206228,63.74994318561872,60.774417394940244,63.820697754123195,63.22516208916487,64.29344759628692,60.90841237459117,58.026963040822274,56.22767589359769,54.62026507331292,52.16794069536952,51.76942892628965,50.4532075807198,53.153373865006294,55.44974464082818,57.31912092679786,57.34572623499418,63.47196537544516,60.67078918635398,64.14022704859886,61.74226499278613,61.17800351256831,59.43998723462293,56.71088221365475,55.1513076723762,53.381287072360884,50.31364942279112,51.466204033963685,54.00020423715419,56.346563581206055,56.44364176585191,61.08686207755898,59.36657147526295,62.92992960800387,60.279145651097906,58.7819248686283,54.18745219672115,55.529563538302845,51.27300786037134,53.06764720746254,50.39268677298998,51.870344274281294,51.986071691957086,49.60366206842411,50.25094392978018,46.71185546123638,46.423603725139884,41.936960083009396,42.3543181869654,38.94158154714302,35.7050090419315,38.63648500984457,35.17053345357223,36.476429236276246,36.074453805140806,35.283241237693815,38.07562512057217,36.4354635289979,40.19069389974712,38.63587241445224,44.33298973128412,44.70654643357959,41.98327356905531,39.95936497119914,35.477267096839675,34.176742525588935,33.214318101190074,31.502663339470836,30.68657832851662,32.13727350309281,32.66409475286588,36.976662753907064,32.581079556021976,36.1386921926299,36.468054429709184,40.29072784722732,35.538356997619665,34.190894746582856,28.704263271377645,30.43457443293486,30.541389792789378,34.41221678893579,34.78018260500291,38.998761872355026,41.15612737560919,39.38326448037274,42.608378963731354,43.603010163363706,40.492019354776815,41.32165414279069,40.53241183228994,39.82926437197499,40.46107154800252,42.35905379892987,45.55428109064939,46.92816413222805,48.95627709023608,48.33247499717008,46.172463119448246,44.909337733648734,45.635162878450565,42.485702873232256,40.35514175522731,44.36979742053699,40.148565590522516,44.34081186425663,41.144062035653384,36.48437711066622,36.57251756436922,34.963993510384306,31.45485134923616,31.032595230148072,32.810588260012835,34.558064056813876,39.33293972257079,42.60951238622322,45.517329951863445,47.36846736075215,48.17089131379869,52.41089659612762,50.313190464272886,49.98688035853131,46.86048244005081,43.08453749105357,44.05466158491318,44.52934888902628,42.523599534176626,46.7548483450591,47.31471719985871,50.23593889929667,46.977520259106804,45.95771791768702,43.805150710440174,42.406614038120395,39.24904778265691,36.91219735707503,36.466329643440396,34.93858815167586,31.487876766831846,32.60860544933695,29.69902680608392,32.463580162170736,32.56994200222364,34.67428884979424,31.887110216808242,28.45604198452048,31.615491340732998,31.022263100756824,24.97140397641066,27.09170755023224,32.1586496614222,27.966540043566557,25.58236393859928,28.580488947724803,30.104870663775618,25.871983405670875,25.21990546187887,22.673347068325647,27.682180450931455,21.485547614385112,25.030417362366258,28.54243470887975,30.706738036930773,34.80853042655117,35.64028412655467,38.95396022933439,37.83304470742242,40.97317934414964,40.584465246619814,42.449357068290254,39.44969299779992,34.90091898943028,38.49978643565932,38.605043190251166,33.81714364110845,33.70986421975063,36.436863247583965,32.84551880425845,29.118055419983975,31.448035600588213,29.984202439333995,35.8503495627556,38.07710023499051,38.14052049058116,42.273393419228086,44.993965567562014,44.68650494303279,39.806294752905984,41.15726961752826,44.05598922957939,40.458357702779196,37.22838107845669,40.387244860371474,40.13486502426381,35.75463665755622,38.00684779766932,39.98606344985401,36.75828682264458,34.81980308236561,37.36194275144839,34.82412607944189,37.4061844649675,37.239550347569065,38.38256452151761,35.570875489611836,31.568123642731297,33.958896455927764,32.49437844477471,29.364739277816128,28.617419360016967,31.550545092845162,27.93043243207186,24.176403008627513,26.660150836767208,28.216232815064277,24.066659180311646,21.196318913181813,18.495238552275726,16.933708851931364,13.382719276913473,16.939004042297416,15.786047589633121,20.045369225655328,21.302432743428263,16.493846231734004,16.981333592027262,15.29373193712775,18.378106656414705,22.546369106778354,24.442312931037723,28.44709880352932,28.462833574101342,28.78452741539444,34.3022082184195,35.674504949007314,38.273523560862095,33.468568084860635,32.420101437167666,36.3736229769735,35.80859226207503,30.93951518153302,32.31888331551667,36.101582748025564,36.53489918528311,35.920107055078844,34.90380533248733],[23.31582491168704,21.722831294647257,22.607846346047282,20.591055602377587,23.94938922720366,27.746720538600883,30.381186928838495,34.634481726337874,35.20293940975832,36.527963799114126,39.778936296715635,42.30191724169445,41.14355174004429,39.70972664402706,44.899534348460186,45.83031458613699,43.106902739921225,47.15595060506357,48.022782501275934,49.8914520525018,52.40988670703324,55.45877568822985,54.818217357364865,52.925750866197575,50.12179472237845,47.68547540714404,46.207684722222865,43.78496815237306,46.148604506886755,46.63323874226798,51.11600919985293,50.285439368057,54.351229059540785,57.638024423966,54.52827675745484,52.08008929486431,50.696453941512715,49.7392613592815,48.03655871572524,52.004394672495636,48.76362201781993,51.39797573427832,55.13523251779362,53.15673357415608,54.76839338791021,52.63233810336553,56.096229785425514,55.74720282731561,50.59257145769048,52.322272148454395,56.074724242094646,55.232040936290616,58.68833431266219,55.030890308953914,60.17092086915536,63.15363078535656,59.70222576203713,59.79716786755392,64.56069229084052,64.34805434302291,60.904192616267146,63.49571092425563,62.49121858489494,63.72150052149287,60.613298779658884,57.47806593081784,55.27158419694506,53.2754697342251,50.5961321589654,49.704107795491815,48.37567670336728,50.891315896812664,53.28649128320686,55.65916935857185,55.58434622981692,61.905294722911734,59.50815810669744,62.8048824994359,60.750429433749126,60.66635652782465,58.83502167542563,56.58379832571416,54.73359741767343,53.54025344240732,50.46972291043064,51.04780434559419,53.53692587428713,55.41642552936385,55.43908669788832,59.63761409189426,57.695283502239946,61.01294175145073,58.0693036828071,56.357954814436944,51.65614215740581,52.60222879217961,48.264948507148304,50.3410381510978,47.57866742706981,48.86300032774452,49.71600185732837,47.483078615720906,48.69961351266,45.31335459443287,45.914747479080916,41.16944777016959,41.91218571889014,38.92752083910835,35.18452628859586,37.60636745559189,33.69982251571936,35.2386809583157,34.125544993957874,33.86685744636214,36.28342727066694,35.085920257195816,38.94201047395175,37.84983651713245,43.38350344302383,43.1974528550931,40.2712276652077,37.936492183497386,33.771383979110375,32.2798345862395,30.938458600822745,30.148283996621544,28.92538017032478,31.22060508569374,32.13849688456786,36.87834487646505,33.11708005700345,37.006928379835244,37.724620819044254,40.946685357155076,36.32631189050989,34.31263242927574,29.151602702992285,30.505699352721376,30.34520764770857,34.30480385962102,35.00340829630755,39.60331273818655,41.127482855002285,39.16661277092436,42.50992152994017,42.85180985745158,39.62703903461494,39.9722120464387,39.1131671500023,37.71971069292534,38.282358589719585,39.46199496374334,42.703117255951035,43.32244465256785,45.61492618356059,45.530986617522686,43.6412653272155,42.80624401093284,43.80014316728972,41.24836794580415,39.74305260875811,43.734996496680566,40.09693379851846,44.50697616168096,41.957869055253376,37.68957638261183,38.18963731042407,37.2545332664232,33.61760511213594,32.500189996289166,34.023961319196815,35.13321771867494,39.83498823261145,42.81013867480195,45.30936840843109,46.815168706417396,47.1227584948764,51.605347984052976,50.050077738875444,49.887834559717014,47.340986233759786,43.11139544384793,44.921145661064564,45.91176752255459,43.765025863261705,47.9640122018846,48.16305649742561,51.596125181428754,48.739876588973345,47.98978545260954,46.22266458471823,44.35234276456777,41.49929451762994,38.93952445564425,38.52722896359351,37.12178295480412,33.068130183050116,33.97425365484255,30.61321130965494,32.55768332590757,32.654335960127874,33.950814942785904,31.015655558351508,27.94102672365055,30.690504223279166,29.29026249701518,23.460169863238633,25.682850909333943,30.04670461726288,25.179937644476205,22.895359758531818,25.738613668653553,26.581715332905432,22.031085471103665,21.685778578483315,19.851980287800117,25.014862173360815,20.394116813411834,23.90746170272644,27.175197266845522,30.34278129802353,33.890511853594205,35.813558909926094,38.93658723532637,37.9852183634562,41.27856737906836,40.741508739882136,43.30388457914367,40.40273648762498,35.63340626579177,39.49027037908774,40.33576684246034,35.53627917745841,35.24314854619218,38.49274675654732,35.45113763465396,31.338091617448555,33.57088445217309,31.17020010214578,36.6612232133506,38.86008466222777,38.23672688766009,42.08316738432746,44.392382794155786,43.858494899361176,39.15303103410984,40.02725811344243,42.50109985165555,38.83714342830176,35.57453027116334,38.17864919283486,37.503566300879896,33.186043243491724,35.6561101950753,37.0817645936248,33.37318672461167,31.904391156037523,34.733172328376305,32.703855425407944,35.80974217513409,36.0146814712254,37.732598472531976,34.556308049414,30.429442263627166,33.69691878602975,32.451814046154325,28.99821204275073,28.823373173924683,32.50603403043238,28.822414081907382,24.828563688469828,28.12525721605631,30.184728131015117,25.952397447523335,22.903967322069082,19.29065202969709,18.995213606501153,14.555806089342354,16.56686984135639,14.357281926056963,18.569384800879046,18.639931171441344,14.097350552284318,15.932717976921886,15.722103129957622,19.143548962196252,22.770205559210055,23.929921645693295,28.274584809769784,27.564394673156265,27.030084300080162,32.532492615110364,33.59958484501522,35.84851102005251,31.018665295841096,29.567953789603752,33.111043426527026,32.548861323781644,27.30491640303298,28.569845274211264,31.958937876027072,32.34355233384724,31.741963481896033,30.61822885714805],[24.818479526842506,22.635778941854007,22.648550000571287,19.738552655782396,22.162583796681034,26.60341284778714,28.5771624223632,33.06708240916767,33.505508383994105,34.15098120137015,37.503284105558166,40.32800283520595,38.49231634376425,36.92825048552644,42.11618920370445,42.94803404178988,39.794796764201436,43.5804161554517,43.99420679639184,45.84603794999698,48.09546878327841,51.05137257600323,50.21956363371355,48.132029171923456,45.50763485746071,43.22029477301645,41.94906759356624,39.83430833437871,42.54782216061274,43.45583885318747,47.99557607636305,47.49207535908321,51.68513587601765,54.63661526034271,51.38680217552048,48.632686003495586,47.49067437737478,45.9673131014562,44.07578488028935,47.96317881506855,44.38632015213658,47.09698029138574,50.75502909360057,48.553118564722645,49.94735443164775,47.6528853199782,51.08181418901588,50.95532080906439,45.79353947887687,47.47200021579901,51.418428088255745,50.772464682809094,54.272681766873305,50.76613686368646,56.04074552395441,58.78200786977903,55.256309201810744,55.6655844243173,60.37796974170915,59.86692665930524,56.52157056072001,59.30492378088804,58.52730614952186,59.48641326390713,56.26249389298501,53.35367844131437,51.14534462712817,49.455065317952304,46.72520708806213,46.2094367728163,44.764088638974115,47.32045301576769,49.77855893341841,51.82116775068132,51.999323431187534,58.23636580494569,55.72709890589006,59.23975801694484,57.09594252667752,56.81412952528581,55.263495084175666,52.88208574119847,51.431720610504655,50.032698033428936,46.74159971544857,47.50716801510358,49.764785952727664,52.062863964663556,51.78544187931323,56.31490947726836,54.314885849423646,57.67177791348242,54.95254712765549,53.519533693784986,48.89790600632823,50.065658739321314,45.782033139576086,47.97487583213944,45.45144706508001,47.25196782039746,47.46877537453894,45.59736510989049,46.21628540339127,43.15875676683985,43.41935765597129,38.910078592398555,39.962151146534055,36.87097692987556,33.45075068936486,35.87272668736496,31.966679193900198,32.79756324251914,31.78018611207696,30.85895834191776,33.12261041526071,31.44969666190051,35.13047683720139,33.61236915179953,39.1235457525255,39.39122276908145,36.490818766792245,34.47130025566919,30.0362999334398,28.904033983232445,28.121151738183148,27.007127399346537,26.751345059123274,28.573186253322866,29.766727365689054,34.3238023961957,30.559728770164487,34.607141488762394,34.7202403997053,38.121287408150714,33.07795041131848,31.030720158675184,25.89284357320792,26.76486763072881,26.27976115822058,30.200681140834202,30.35652436144772,34.81346148911943,36.64832068343683,34.9448634418283,38.35425861014303,39.10414049399753,35.96011201078941,36.8037528581366,36.31665797904739,35.36992434899726,36.45658900830832,37.98080556310235,41.57025816041937,42.6867377448488,44.458685264088636,43.99293223292037,41.668796640795115,40.84762522894235,41.29692462225102,38.731074425573844,36.555822115762396,40.273141572369525,36.17823693466328,40.61726913903506,37.92706482473689,33.2846673278249,34.05939991933979,32.82883942359315,29.46226160113571,28.244812680509966,30.124569928163456,31.227532589839694,36.1465634771755,39.3102695629347,41.97513847773298,43.86904191490416,44.15101148410566,48.75679361899854,46.783460482489254,46.805661347865154,43.85881271967432,40.12054089923888,41.71451045464548,42.48109311975814,40.122757096161195,43.98486493888245,44.026487570609305,47.3339315176429,44.110492131751045,43.60585771766444,41.87312554153654,40.25261209203015,37.607812730757516,35.333217945373775,35.2684776571168,34.2684156388744,30.37385697397419,31.887350595773032,29.035354639592903,31.125448479300676,31.991496792925727,33.40450151138803,30.120220656856358,27.52888203875937,30.89599335718185,29.393233942373875,23.396290939478817,26.41113658380636,31.100211277642767,26.0693683846515,24.29375450781517,27.66761365233071,28.245043230236206,23.77959666172795,24.278207195122732,22.036699628720974,27.73834048299749,22.664460160848297,25.65376546744915,29.372768321174018,32.32416764757269,36.31930709745829,37.61208615372318,40.51450962759295,39.02989094624011,41.977268270288405,40.95003919752232,43.38217253626771,40.8491071892153,35.646292646808625,39.09058225302319,40.03245972596552,35.23610577889657,34.45563005828881,37.289722940304955,34.55054011551604,30.511714372699473,31.801755342435026,30.094233228861114,35.30159201964053,37.90522267106979,37.89873234924924,41.659705637031074,44.47510332514926,43.51423921327039,38.75190768386141,40.412882862380656,42.767677570865445,38.73385314102045,35.955850342570166,39.02114695970822,38.316274849084174,34.07910469955141,37.044909993414365,38.68190074034459,34.94456019645725,33.809344363889046,36.85266625586633,34.59682392138199,37.36234763182365,36.94217954390493,38.77347328919831,36.20340198388571,31.57293571882351,34.37870221273815,33.64196237776517,30.31092929215647,29.215290316863452,33.13419594029003,30.032710190205684,25.509043086024786,28.023666780194905,30.63580598701549,26.850550142655585,23.417716418665876,19.75462271912364,19.86114887745447,15.488450722731535,18.756109541991517,15.781578887361125,19.500671561468884,19.314728358981316,14.540113749778422,15.599609234040374,15.197720096069343,17.944810543315178,22.12430263577414,22.5292515642284,26.694924112601147,25.602814077147322,26.0705035309073,31.688577591885142,33.3647080260241,35.30247490672213,30.255259496689764,29.695663790784984,33.398287188938156,32.06709990105313,27.35947326367206,29.418574787827794,33.11318608653565,33.837811555112424,33.526936619030515,32.68571616686653],[24.697263745559795,23.243065897539918,24.421492660022196,20.70176180743113,24.288933576194434,27.307581750464756,29.2454033402799,33.73240980359421,33.25544046575214,33.86305030341318,36.824127219780365,39.9559448702232,38.59008218720148,36.302906227796214,41.522409952145644,42.86932984637255,39.90226550428056,43.58987460729305,43.91844411224644,46.3853590211048,48.55996608552962,51.951929071783745,51.015053232003,49.01861131167714,46.54831705893432,43.80316278807534,42.94975687659906,40.57255293893569,43.15017640358162,44.12131745624552,47.85363669731629,47.914649552334275,51.850740898092056,54.854221448849394,51.99771093648893,49.24468073770027,48.58430154231937,47.22787288670781,45.70715036807559,50.22700317515184,46.36041004573024,48.40406536684217,52.34879153141952,50.338621731129145,51.56219844451407,49.39797596727265,53.0318840082865,53.06458624705948,48.01910907246207,50.23811526227711,54.136620186262654,53.719640642980046,56.88534816308682,53.16586242576399,58.56004680842586,61.04723288189729,57.19756611406537,57.45912067722926,62.19967111093787,61.61504066682906,57.824169027047304,60.223890574815634,59.196961949855776,59.90886293714561,56.96290313954838,54.105626043864184,51.19787198174841,49.42261051418194,46.14414479588919,45.39053193495796,43.6488921415381,45.76513643931592,48.64255235189029,51.04351630392606,51.57288437651182,57.96214825352003,56.02407838029902,59.56796558196503,57.87219705215074,58.02912975680874,56.75244566287267,54.876590614708896,53.5365700296278,52.6357060880488,49.146695160539636,49.39386915887546,51.2560104132032,53.40894543563628,52.60666692316096,56.85752792517987,54.40808393312436,57.33618928104156,54.464272215346156,53.09043569501104,48.43942981130044,49.141355836123175,44.8235100249339,47.73197665436092,45.394217689979726,47.42348435311711,48.15733428761072,46.895279007580946,47.73829390840225,45.23169239059198,46.277790339885584,41.73653110172983,43.33430961043918,40.65738466378659,36.9990382646828,38.831685965619684,34.511115426210175,35.04894561550185,33.168530343604786,32.34313297641674,33.724354285815345,32.14009594955136,35.584640852476554,34.127817452342754,39.098934846036535,39.238213546108334,36.015829429118284,34.048830816636716,29.87563876843785,29.096619022664523,28.508179726569825,28.56414466919169,28.742011236229583,31.177268551583552,32.99802784991416,37.754015096043425,34.69113024550214,39.02756618616819,39.09180536055467,42.01932298047355,36.89133308375659,34.194308239291075,29.5924185211441,29.56279213190221,28.34449800729677,32.16998738455097,31.87460795791924,36.45582169999036,37.8947731562557,36.415122317125935,40.01548517141549,40.39823066187593,37.273400094653745,38.02660274510102,37.88448853322112,36.41311117244404,37.88772858751519,38.60891076427008,42.51500764488942,42.83865793428612,44.55862080505827,44.61838960662992,42.324962999849014,42.1805198976503,42.47056475619504,40.77452549645795,38.79522008873142,42.09060049657594,38.2952896446983,42.948633949158214,40.90060926692044,36.343400496345915,37.82046848078007,36.87867411174908,33.782178580043606,31.906733656215877,33.85260548033339,34.25983060008334,39.19453686270064,42.14627018735305,44.45096849890692,46.27830428258442,45.892995688696374,50.87356154896111,49.18342253223468,49.576857882884,46.93841336997618,43.222521767451106,45.46253712981624,46.509153302749056,43.880811196367574,47.313901806312124,46.790675731116956,50.430706507023736,47.1885689921351,47.26220078413566,45.91848568422691,44.198491541361946,42.04472998434581,39.876886370936525,40.084202191005524,39.43037350835945,35.27864323861699,36.89944977939497,33.98167545951366,35.442292532670486,36.56033155643558,37.30881806189498,33.821820957669,31.785163264375687,34.90060335208603,32.66121015811917,27.00748033433243,30.223671911165656,34.22370894233943,28.59163179568065,27.120681353714353,30.321070942473447,30.078315968078822,25.40863550334117,26.4068821581056,24.9390728416955,30.596535285635504,26.87539352712131,29.804104992776146,33.25872047844399,36.850047671191916,40.38097725787566,42.4235306407144,45.20786153788647,43.8441358723875,46.848162099847144,45.66244636811385,48.52844195915724,46.11495584235494,40.77273229334023,44.279819391407635,45.67431701839575,40.90476634082584,39.94950968173368,42.964088065651005,40.58298920186201,36.40666553679764,37.419456095054436,35.36256369817167,40.141160086373745,42.82418644291511,42.478750609161196,45.941228127728735,48.52415850752661,47.24029414893858,42.680003228732836,44.12794746534116,46.01876578477397,41.84585856083503,39.249348793036006,41.84204940775151,40.68586945932806,36.62506161854288,39.885981510417125,40.96157973213076,36.742976615983636,36.22823601050458,39.52830112408738,37.77043367134405,40.91992759695097,40.738794108819114,43.02528390839088,40.250306483904545,35.55806900561373,38.93068074262936,38.38622563219353,34.88894206977541,34.129639415269054,38.467641808658215,35.341665036389514,30.761844177984234,33.64315388340488,36.47695133716874,32.63550934542373,29.196112048401346,25.18059332578103,25.73851519010815,21.107568366613833,23.466376224481532,20.057424279058502,23.525732459391985,22.198486411276534,17.942026532908166,19.914539769572507,20.50554760052153,23.220837492315457,27.028448116924384,26.584374916852326,30.827324766579636,28.850490668853727,28.947717725252332,34.44244949998124,36.03878154817901,37.35212386904291,32.27512496623971,31.717544693268483,34.87511744164422,33.1072674487224,28.34259789458466,30.618758811147583,33.782184552632195,34.549187209034024,34.33062996633353,33.40953797073303],[28.379689515859653,26.955652054976564,28.05717171487082,24.322468853228898,27.657356908202274,30.86706283019417,32.64063169698687,37.173959323662885,36.60067300333862,36.95945521983344,39.88652919829738,43.16454744456807,41.59026748270314,39.145064984346206,44.33988940725569,45.71503598391677,42.551470276806256,46.03726722237973,46.00493983929304,48.5540908809715,50.473074424325915,53.82292338547164,52.676831742780934,50.47972336765311,48.24954224111969,45.610049460637946,45.00937862566467,42.86823344268312,45.66422999877759,46.89052241656573,50.54091126818971,50.84423713115104,54.80084781034071,57.63472537149443,54.75388297985734,51.83233168982601,51.34935045230862,49.66101909376714,48.02555171990422,52.450255434198425,48.34021138070417,50.42491384253426,54.295609117956886,52.082420208349156,53.04891484661113,50.69344088520319,54.26115202522864,54.579423861680716,49.54632752644787,51.624984486399335,55.7353866025044,55.49535353799001,58.73361645503641,55.190028671913126,60.66155060428784,62.954602813445,59.06583235127595,59.6014650183442,64.2810974229065,63.430365022405205,59.73107017135433,62.26303170488015,61.39738690001806,61.84530552096008,58.8433479488443,56.20349288843791,53.19294690683559,51.65977116420765,48.23209748108937,47.70989104185869,45.8059219246499,47.79391211195505,50.84959078223224,53.086425334920676,53.89627146387281,60.233951288240675,58.3239507486883,62.012987545289505,60.3137986963515,60.364427302574626,59.290702402983406,57.33305661367977,56.23276648132416,55.18105567592511,51.58578726889054,51.97454784880878,53.68133197863086,56.08545179216788,55.06963496541462,59.488953534493014,56.95376802877682,59.822172154564896,57.067286779244895,55.864072598275854,51.26527969159528,51.982684857910606,47.70053617506519,50.775854407303726,48.56503904905439,50.78304887561878,51.33869880180189,50.21964454402287,50.849531473961605,48.44727389347066,49.29275151575368,44.84857937606793,46.44584792351501,43.65210137620229,40.13870102046746,42.080848340208064,37.82476860909607,38.18061501951084,36.38083936162097,35.289747684026764,36.55029690055116,34.706144208000794,37.97961923448729,36.20176402889746,41.01605631743134,41.51363254333433,38.261174189203786,36.54622260321234,32.27057296117846,31.792170999980907,31.52202862112998,31.47079698389254,31.99936047794111,34.21456617839548,36.03198488995859,40.67286833990258,37.44813162026163,41.733266860138464,41.57125836532216,44.70984378060571,39.42980614741833,36.8671040228259,32.20247193301475,32.070587694362764,30.70467614818175,34.46599010082521,33.68492071628472,38.07398849801062,39.80466340780848,38.579030259868716,42.21429488910485,42.88110755831905,39.8273026211246,40.85985976659866,40.89779569549267,39.6088688461994,41.24936269734335,42.05536552684297,46.044105378451476,46.430923013561916,48.03946522451158,48.035482329386106,45.61871424119919,45.49288768318621,45.58821626823949,43.874678348975,41.596722588598205,44.74836587173784,40.67483455986453,45.310919192704105,43.1006331558585,38.26240315380563,39.80225407976981,38.50385094429676,35.59478143890814,33.87427283666067,36.05280707181712,36.59030523212313,41.62796371743742,44.70777356972963,47.13503318532594,49.15596925305295,48.79484820675767,53.8054091399706,51.89445326196876,52.34319953269885,49.45504627586077,46.00349724584223,47.99911542811986,48.840908979003395,46.17175786723819,49.45505484643061,48.907246442524645,52.36251363143177,48.7865560966898,48.96776040916732,47.52898923452508,46.09151671681122,43.93922721737174,41.950302855346365,42.244685729759006,41.63350120817572,37.70197579777249,39.472857304252926,36.71031155757208,38.43603059747628,39.562497415454864,40.54304264761267,37.072266334681856,34.905896260621155,38.120905668798734,36.07755554454923,30.314305316642486,33.45928628924402,37.641439052261795,32.12383624708833,30.533123807200482,33.70730481249188,33.6508271940456,28.971222710280845,29.727994372615356,28.171455426752747,33.72938144424549,29.60154439086523,32.74464669908487,36.20641443645252,39.5628859506681,43.17827047883006,45.037125037768526,47.97606465298983,46.668097622883145,49.70543201663823,48.63638333299743,51.290230876414526,48.770162523961936,43.539184539288954,47.01976150605706,48.12680977740056,43.33438049250107,42.49063924203256,45.339696861827335,42.69613187121412,38.651475301106395,39.73889248208606,38.007370270461955,42.95036579842405,45.65727303668078,45.50283120186003,49.0752730876267,51.756221725336985,50.54989426036507,45.92449960176057,47.454321729240164,49.46806886325967,45.30694809084947,42.67614326439561,45.36159401273142,44.28253356999022,40.18113574573562,43.3502780619865,44.50828204176702,40.351450618016386,39.69153022978146,42.904218657753866,41.063419432196696,44.17306441157315,44.000833364069656,46.114864894920665,43.30508113265901,38.712750132474504,41.92575631362502,41.204492889496905,37.75524653141258,36.96469524731643,41.03348296558159,37.77015826747784,33.343043342772646,36.08431677050523,38.641423004251976,34.6939760227753,31.377210991501098,27.644501025491536,27.63466593053653,23.217795566237584,25.877542216659453,22.910644156188287,26.615030928329098,25.626234187135694,21.19490600733497,22.943141697631255,23.09921296421852,25.838789385121956,29.8690097969294,29.66416674297774,33.85362303907508,32.00786385377621,32.35856653859572,37.89356399402279,39.56512127789658,40.92880366499597,35.82858763219222,35.344416990409876,38.56112046668556,36.75472428336732,32.04189876708292,34.319194932885246,37.483691549642856,38.206889957798076,37.91850352651413,36.91145559450122],[31.075308343594344,29.286044168137085,29.77564651612147,25.57279251064574,28.104849098914425,31.671095088711663,32.8553314886857,37.4771672771832,36.76034296298815,36.486394628568924,39.416974856569894,42.9455985294416,40.79310560128239,38.194905878534556,43.30255906582698,44.606681583023914,41.06644331818341,44.20274861638881,43.64133894902829,46.21558360283131,47.78217034780936,51.032751172994715,49.64251395035093,47.22341834740691,45.276816535427386,42.803726077474714,42.51826996701684,40.74279330879556,43.86955390978421,45.5275885841872,49.11973733625814,49.79460766933522,53.813501570940225,56.29084480445668,53.32611980458864,50.12095416315966,49.927183938673835,47.681388809697324,45.88962096596886,50.1998976029917,45.74867920569757,47.84064935273642,51.59768122388232,49.15429590908752,49.813736908658576,47.27940931015691,50.77923429505429,51.40562307250285,46.430544017240265,48.43579581764333,52.741659702960675,52.752212891246494,55.9968976226128,52.66262986562908,58.228347856779166,60.21869957830062,56.26411455559301,57.148007197354076,61.72898796064954,60.53526775998073,56.95252759606741,59.65591792727295,59.03490069590485,59.14494216554735,56.055502610475145,53.71141503035246,50.64928844829172,49.47768403129219,45.95583596603255,45.840726040181565,43.78141643198864,45.72149045206249,48.88704748831466,50.774315938000406,51.910878982783295,58.11844658766564,56.158446311011424,60.05500346837776,58.30928234107703,58.17626455512331,57.42831734748124,55.37773922717322,54.703930541780466,53.471743536669344,49.69096224008572,50.24689001248365,51.666706149609674,54.47297854749006,53.119227784824815,57.82412169113244,55.214888626850204,58.060017845811,55.54971076032683,54.649161977960105,50.17610499740172,51.064249986908926,46.88176667190499,50.09392401199741,48.1480036410534,50.81577095242703,50.81636044445824,50.057187317604594,50.148691480681265,48.08757819021921,48.625817942172596,44.46009872217177,46.28617121235795,43.44127283824655,40.264597676038285,42.18103673631671,38.01342901716663,37.76184015903889,36.05975927000737,34.389353410310505,35.393687400217715,33.102460907231055,36.0723192305907,33.83376506468199,38.446048058403925,39.466711842803946,36.252767583831336,34.943495138335656,30.502038740336864,30.493992221406014,30.82832079324706,30.564434953806586,31.97020402100873,33.729633482029755,35.739655544259115,40.10707716045015,36.94647228064092,41.24730337795775,40.55913552303693,43.810137552597645,38.259892453834325,35.733704208649804,31.256209559405388,30.62828642260021,28.90606599652765,32.482511675061225,31.00080716660338,35.10470012465978,37.1591536194987,36.30073696084777,39.95641983091958,41.035852298246525,38.131412309018884,39.65114724919093,40.06953476843679,39.19412921176539,41.27710824063346,42.33729876886726,46.56468364554297,47.33788116429952,48.49539724562723,48.18313528495785,45.42051176725117,45.33284524334814,44.9311184924551,43.2654488686367,40.41037334937935,43.20697958282644,38.74908059896659,43.33763328706469,41.038845087331865,35.893672609720966,37.71857350748501,36.104490828728366,33.59894847160994,31.836110052683075,34.33291569135321,34.831599844526366,39.96551850874121,43.16853211725087,45.709148062793176,48.072423661361825,47.6714458189891,52.74568752640717,50.46269044539664,51.091305051377866,47.85493027150721,44.937593186232135,46.68817354205093,47.289664690386836,44.46389577306103,47.338546829327804,46.617872122945364,49.879144638753694,45.91831926361001,46.392145420266864,45.00265651274069,43.88725762235055,41.9866869932034,40.338461438105966,40.947020296015054,40.69794716644597,37.035867241403885,39.25566151352196,36.958925578226,38.79731817252592,40.437153838890865,41.53045165243279,37.88502360597172,36.059910993578306,39.64204715316241,37.611799525916055,31.83143867523594,35.38332504748958,39.767743537959824,34.25536084448368,32.96059349440229,36.41869863107847,36.27167378056569,31.704019243733224,32.86872546489419,31.03294811264847,36.852211533550005,32.34152567897809,35.21046913717468,38.926563313034386,42.068118420271986,45.98509074522137,47.373677787377936,50.19169973722164,48.551770427187066,51.34547742126242,49.98054027995642,52.47167381764199,50.197914330653276,44.75525043428241,47.90861292073312,49.001967939938396,44.265716161690946,43.13008819040498,45.607142188046566,43.15560741975406,39.2658888703039,39.69560191149033,38.55520838165437,43.2409746310341,46.1983664624144,46.51735869710987,50.01475879187794,53.04989183149945,51.57149199612948,46.940610960739974,49.018092026017285,50.96406485655419,46.58893475012895,44.309697885091126,47.3075877641099,46.24232108814615,42.220297400864126,45.66207879723786,46.98550126811702,42.865152016939646,42.37263532043493,45.680129200336424,43.667869332977745,46.52321765272401,45.94081234120125,48.06768452915887,45.665501366036345,40.81026486814298,43.65395695151605,43.2229148613284,39.89292604134321,38.52854054496484,42.632607903897615,39.738983833558734,35.0794149655292,37.2609225150928,40.063895906463706,36.42299588222024,32.9598826878772,29.344266700947493,29.436444747158667,25.208158067060616,28.523563658475865,25.31990315232316,28.743564605503547,27.728948394934918,23.266220748888212,24.484295934941933,24.444717600642868,26.678967298531315,30.941753790706045,30.301970099441622,34.22850019863693,32.16936418470473,33.2615019685027,38.76121266400564,40.844600932697674,41.98048185811763,36.808648436420924,36.961573290832746,40.25556150123104,37.93140949233825,33.69544383182694,36.45890898789869,39.79645094059181,40.72130549785324,40.59122454235255,39.738981089622214],[32.3241379928438,30.887244611177085,31.840922044905966,27.272929055825124,30.198687482813337,32.982949860263545,34.01076106261921,38.55262689812643,37.273813413541625,36.84730711814269,39.470024087895474,43.18993741493823,41.249241893340496,38.198357926476085,43.2185953101506,44.826592386618174,41.3842200405324,44.33644030445972,43.61637534918291,46.57669532059035,48.0065634974709,51.498747239988404,50.00944588840357,47.64300903695475,45.87416171088791,43.15420215990974,43.2104576562361,41.35506801152671,44.40720774812874,46.16556756850361,49.17544459630901,50.28638762616687,54.110136174484104,56.52731740868042,53.83010281715895,50.6037555050017,50.77680252303775,48.563577438190585,47.00653288527226,51.65712372394037,47.01679151958219,48.64928195657954,52.535049423040306,50.20845231778735,50.70026597747154,48.25495638524642,51.845005011370034,52.61721695966448,47.77719709874911,50.10963676023793,54.364552501495034,54.55689471558881,57.5586161135015,54.14395558552192,59.754626537883375,61.52051050747921,57.373485996260996,58.20798846077898,62.7569752628938,61.467017709485134,57.63413115789939,60.090333468158526,59.35127337721333,59.22932404479027,56.337782436346224,54.10417375308205,50.587832434519754,49.44482697612233,45.56888868117608,45.382063394581195,43.10715341479945,44.69479639999505,48.14838797511269,50.186651793764085,51.625415307570805,57.85265824794287,56.28555715073626,60.21213801937166,58.768979626652815,58.8927120500483,58.386840573612,56.66324847836882,56.133005783202286,55.19449449121495,51.294801692830305,51.54444585521949,52.65074306615588,55.40846206943619,53.66429821541965,58.198232894928516,55.29896903085488,57.82620285964585,55.28677281480881,54.49923505074973,50.080459177849434,50.685518022375675,46.55423579541773,50.22770168374631,48.479336822624056,51.354061850918825,51.568697353387634,51.26025351216138,51.392677967742635,49.74251160058176,50.69673669849652,46.58710802024516,48.74627618569289,46.1500676802243,42.90424237849174,44.47331678072321,40.12933210763171,39.62853592801491,37.47148440768258,35.794210928130745,36.19801656703456,33.931410548821056,36.62621266986065,34.3899042170418,38.499220183997814,39.522625337171796,36.16020219572205,35.00525573706695,30.81869017932291,31.13647044527597,31.699627801343105,32.097116097396075,33.845583424950654,35.84744115873572,38.198204282309256,42.59794019921801,39.86537778878424,44.2984007348635,43.53706509527654,46.499905516087495,40.9224504330516,38.05886486585755,33.96684758128452,32.80194887524572,30.65493664255791,34.0594266174329,32.23409232659821,36.278726153103726,38.078600739656125,37.440622372820044,41.156768162878215,42.05148956797959,39.23198579489816,40.75228115425036,41.438742227629206,40.33287234172264,42.692569708378066,43.309234950807856,47.71678494149234,48.08016992625977,49.10119339255269,49.05370947499367,46.27594337751156,46.606926039441625,46.02519024655856,44.912021403265754,42.121712601113174,44.57023767494136,40.304725651981606,44.95445360069876,43.07201190726109,38.02441900088002,40.27422741284905,38.83784551885067,36.55606854042097,34.43313745228307,36.94822601572428,37.02691227219766,42.10479648122211,45.15680186407315,47.46621594158712,49.81595861136237,49.00360467185665,54.272767694155434,52.125813626288945,53.004458120103344,49.937055354265105,47.129282927642244,49.22038440471988,49.959374615410304,46.97679111647815,49.51569688728707,48.425911655274064,51.84397135775134,47.86707179352791,48.73646768230312,47.61449833549628,46.47453322123157,44.91478671413048,43.371505221721655,44.15998980762824,44.142015284216995,40.371410047078385,42.67483541791157,40.390553976511434,41.89302368395537,43.72134161250207,44.466726586353126,40.71009901490487,39.22522673358737,42.711430430059515,40.308604302620445,34.740123517071986,38.42557598493417,42.46555275163979,36.690912603039195,35.60659552095315,38.994934285188165,38.41613355026172,33.83057498263045,35.29542968625792,33.80314386344377,39.60405217237208,35.71872993253994,38.50560515279285,42.123806463138315,45.56875681035104,49.28095800140647,51.008229741610165,53.74093587768336,52.10941917531374,54.89587267443526,53.39514583251788,56.11261836583274,53.94457334275279,48.38577363056323,51.53240113293812,52.889474209074635,48.17002465318396,46.897577889488296,49.44004173919857,47.22282895068387,43.2596658567294,43.47029300106569,42.18733674753661,46.600479765953644,49.625061792491266,49.81425395783157,53.12742188041182,56.07672013368346,54.3763419955478,49.87362527069994,51.90782006232077,53.57587435977235,49.10951291261003,46.996175521364876,49.771544278570715,48.46641471026704,44.582172369483814,48.208614308434136,49.247825776859955,44.90336818292415,44.77763252285935,48.220633792426135,46.45405691932021,49.4625910779386,48.94360929288498,51.31995938478043,48.8755062772832,43.95125262895051,47.03943944918183,46.759408127923145,43.356090530083286,42.08652840882947,46.43349640307875,43.57770767726825,38.83647838710182,41.15397183627467,44.129732517084065,40.49209024859378,36.98007613009199,33.16553964643288,33.53044583161792,29.144187317444086,32.133705859992155,28.681756463990613,31.943915642449923,30.41346469050635,26.23265978331417,27.770921636002686,28.155392132733578,30.344838875446737,34.440010985026866,33.34505645580728,37.254679854655215,34.73350453663279,35.71090927469919,41.08113135669201,43.164943631135884,43.91054866319133,38.77207845151837,39.026715033512346,41.99973073320423,39.373624558114216,35.2668672626274,38.185407627202444,41.22470902513922,42.19861943617539,42.15667428687544,41.30766158213255],[36.8671522247179,35.32038376325972,36.00600458236261,31.24051284562005,33.67846556223996,36.576644569703475,37.18471933506935,41.708346452329316,40.233747088792754,39.30353436060744,41.8022896942761,45.72145912339112,43.3986056832145,40.13931453476481,44.98042923709994,46.596328492842304,42.88947670261852,45.41132454640879,44.10631772351897,47.174774175062474,48.15863796430885,51.570371188398234,49.77780661597752,47.18302356095503,45.83285575604282,43.27807524910854,43.78003836574982,42.31843568812224,45.634818038698434,47.80158119071152,50.56159381511539,52.11951277783,55.9093581306064,57.96876253398082,55.29117578428542,51.82288346329752,52.356187568977056,49.63914959394788,47.99253351968748,52.527523627624326,47.54510356758291,49.07265196716165,52.816387844897584,50.274127372553,50.351613843325694,47.72403193102388,51.19874758490261,52.38393088180454,47.69556343008553,49.93863339180066,54.38393807868706,54.887463498496444,57.84472392063788,54.69291100261942,60.35688650328189,61.739896302871436,57.522346654747764,58.72909642268295,63.125826322771154,61.438115520880366,57.71630229078969,60.28271414581141,59.78186784936079,59.217059804452475,56.313091359621076,54.46216353209762,50.78237140820989,50.05064827117104,45.99723669486173,46.206024781321155,43.720188190840474,45.08414802738999,48.733369179397926,50.44390631090059,52.324043716838474,58.36599949857104,56.892257910526844,61.00862429175687,59.61643026259237,59.6152818144132,59.4982713241801,57.758905265545664,57.66966228939428,56.60634875177276,52.551241853841475,52.91537900942061,53.66869140907351,56.78485930474337,54.63443939239553,59.36283153443869,56.330831693074344,58.70896817522991,56.417724936058804,55.95669421182977,51.71078725308427,52.364330169531804,48.38134335632259,52.27717721192819,50.81828885472629,54.069081506987175,53.89736619067249,53.96600872679648,53.67469712928189,52.37440394652334,53.11256691972634,49.26797380179371,51.59189278518921,48.97822416783666,46.011473984866626,47.54695815249458,43.30299368835494,42.34746133777842,40.243497887668866,38.13786145546481,38.208035357423135,35.59435918790446,37.877567468813396,35.22008448928877,38.87371543833683,40.434759618434654,37.125966079337,36.44050182535743,32.27350130369083,33.09810386341049,34.19978595143725,34.52857822946191,36.9365936725475,38.59065771935497,41.060001509241516,45.19342995282163,42.52924757802894,46.909115425462986,45.73110566598159,48.77430058731303,43.03736070864514,40.252163231610496,36.38849611736375,34.82624141379526,32.37697075076106,35.4961585083581,32.93283830829316,36.53978596058446,38.62059464071771,38.43506779206277,42.116419351845636,43.37574824456171,40.762102282152185,42.700618010078685,43.7470761487094,42.949503064210376,45.65660459343157,46.37583554056182,50.94246416876389,51.480783623101516,52.158625582319566,51.94811732554863,48.935163350607006,49.36880142817853,48.37029657415098,47.39425576834399,44.16328622281211,46.21063130753613,41.67156323504378,46.21130864545923,44.30573236436808,39.035288463748984,41.540273571961215,39.781990887831746,37.95273724398973,35.86619076617269,38.63489908494737,38.67208705379134,43.74968251882466,46.865147445590516,49.22958972613401,51.85855944085506,50.96318300892351,56.26742408599555,53.82335235319144,54.8837689598597,51.53773971968446,49.25060673752998,51.107297013127116,51.61005004033405,48.51762094754285,50.61336035483234,49.332886849215875,52.51040914455118,48.13908174852815,49.34354647752676,48.278771753187414,47.51049056713504,46.208530250893176,45.01570913082216,46.05883656899496,46.316961701926424,42.84494397919259,45.451626348510224,43.51941846396616,45.13745371880271,47.25035585817094,48.10586467163056,44.28017061784778,42.968354393559665,46.6465525653568,44.302474654277106,38.74338179784779,42.58296247063237,46.74095632374145,41.010582207849545,40.03989956302342,43.53072495507054,42.941910732990856,38.41801507897026,39.989795596947424,38.3734168272024,44.24405582056106,40.087577464062576,42.821389731662315,46.542514723203624,49.810791256641096,53.686171644059485,55.13147310444261,57.850409242298845,56.07817052130982,58.742972452740915,57.12453353294479,59.677847501150765,57.61587472538141,52.00593385679281,54.94698039004928,56.192309360949146,51.523689941209696,50.13653315157688,52.38872630258606,50.20488958685835,46.40999653992528,46.2689411797592,45.44506676633493,49.71715802223709,52.876416633955216,53.39013871718671,56.669313697835186,59.83136055971392,57.993067731770715,53.49791583238934,55.84662620721133,57.48839760454548,52.919184189484675,51.007947379803866,53.945258624646975,52.65356743730717,48.824770257305964,52.561058107265474,53.68073232557984,49.36273899238655,49.3024727876653,52.76529292690393,50.9109797783732,53.78883908499801,53.07511454680255,55.40744312109178,53.154482511083245,48.1474115165894,51.00020500876495,50.80866045017543,47.48748629672589,45.93904889842566,50.19365277999362,47.47903419375475,42.706883736723356,44.68749251409037,47.66297269027421,44.15898810111057,40.65209060721436,37.02001038821089,37.2262763422856,33.04267584220479,36.372881339727,32.98402228302165,36.18504050271559,34.737106348989634,30.53174190187975,31.781029262022557,31.950146585755483,33.88477867642705,38.1083611946796,36.86195010827657,40.56320133443461,37.96199191308148,39.397673901595454,44.69670525181762,47.010963054107314,47.59917681745676,42.463526651961345,43.08278114287232,46.05971732254319,43.13129490994877,39.342327214914064,42.491521447701025,45.559935266527845,46.609180004403534,46.613298735375665,45.78727745857851],[33.36269855393054,32.02759775574819,33.019671306861895,27.99793547365848,30.8045037248791,32.93963746161594,33.50599612636113,37.91827948002373,36.09016037084179,35.24176802007559,37.54989761568692,41.49083305581826,39.515487352654944,36.05017112040755,40.8858780928957,42.7111991976373,39.267770211604976,41.905266822163554,40.91155478515821,44.19966989715573,45.422889352228225,49.097891541566405,47.50233739465008,45.19156722452499,43.629248055664746,40.71930068783932,41.154687208265926,39.3255717998816,42.35721445001939,44.32303849443448,46.75616303956385,48.375043800183896,52.01433766157812,54.23175578428134,51.767193765793174,48.46183840955917,49.063953888413025,46.74552241159763,45.39909509642173,50.32945407323293,45.48168653471355,46.63377305017197,50.5978276646564,48.386136615065155,48.68777899760349,46.360446925785254,50.02153022820618,50.92894283732233,46.28162336520184,48.95639297543409,53.118494444514475,53.52226297466206,56.2331862330676,52.776911136279,58.41077760842896,59.89143928674747,55.56320941638323,56.38728034349373,60.861791092590444,59.44461397761548,55.39909677871879,57.62806961073631,56.82882391624977,56.437984193364876,53.731604144705706,51.662205831320904,47.75041798441196,46.72051771891944,42.548302617478136,42.41410212021792,39.936289504521504,41.21391141943696,44.89824193746452,46.95183817823736,48.7161213539816,54.883551896216396,53.65578020151627,57.636369871425124,56.463249708837154,56.783417123305114,56.59002213449854,55.17876836668416,54.906586343263264,54.231510925089125,50.19681466057153,50.171889642399385,50.88512706878723,53.678788292503185,51.48769084904269,55.91123604058941,52.75265142413283,54.98298665144901,52.51292669584208,51.93145237883553,47.64247515710988,48.07342400500395,44.06593948688493,48.14634826663684,46.70012381623921,49.92883918588543,50.08710864017927,50.351886509156394,50.302730267720335,49.20551519145112,50.45802934875856,46.557247139860756,49.13580987426305,46.82392799190123,43.67805329975496,44.84170192373569,40.41956449244657,39.421280651865864,36.89346058869537,35.0160738113987,34.736676482776836,32.38844162789461,34.67258235903469,32.36350637579309,35.884135759076656,37.02066529746532,33.5862255650578,32.72079086226906,28.808326995375875,29.587891853765342,30.587074528644656,31.531284648142723,33.92472009122443,35.94497734082364,38.68306223028397,42.94583684853076,40.759735850947024,45.292413300887965,44.290777059343974,46.909782101782746,41.29665382064335,38.1117641505496,34.58773633527318,32.70919619192627,30.068329437536335,33.16117211789308,30.880254069516067,34.748934294213875,36.29431404681552,35.95798328371396,39.681033361262074,40.47668824571559,37.825575211330836,39.47589442197201,40.5485580757935,39.40175458709512,42.17802641461922,42.48956453535284,47.1200696877466,47.3130222939527,47.96542405122318,48.00227222175039,45.08690655037367,45.82010595785668,44.869829848697776,44.328021319676445,41.44051991061035,43.392250638699736,39.282187308979466,43.92030710881388,42.49308816190207,37.581087462446455,40.33407849850462,39.10540556379617,37.183720612126606,34.6500557069615,37.19798441938694,36.7874373136955,41.74360308507916,44.62168258765609,46.68929916046474,49.10430886215561,47.87322098574963,53.306230221119705,51.20164503681165,52.38598145509875,49.43418662375864,46.92567503279925,49.302920070055464,50.13757460472114,46.96750962048126,49.01592775154204,47.49735381809519,51.03235163685831,47.04868160935335,48.39075320211561,47.61503538022689,46.479401653514344,45.39472193074932,44.05680371161708,45.13085352409195,45.50148074754546,41.71045444349672,44.2365154340911,42.17274238545532,43.29451732890278,45.55610502048394,45.94071521799291,42.0247690444404,41.11400922008499,44.636535744988294,41.859266966384304,36.602797441471196,40.605522356682684,44.33350575455349,38.37266516579686,37.707915749377136,41.16117937015646,40.093391169532964,35.647424792284724,37.671281207606796,36.360425873016865,42.25766924622187,38.886750662605664,41.33210283714607,44.97373715053621,48.63400001601837,52.285527088898505,54.10822285981694,56.605539363200975,54.77329977712074,57.38150654765888,55.54360284883908,58.45766952791447,56.58776399885957,50.7888772545989,53.73580221244194,55.45597504053435,50.8217379181226,49.221239890809684,51.68257226908288,49.92388484231262,45.94086777608625,45.56364009270488,44.33190629835021,48.23665153888467,51.42430168580593,51.67213370272521,54.696575538736745,57.70379840739519,55.62133011697321,51.300597883569715,53.55828173405659,54.86768571086761,50.228415568261916,48.50774192760085,51.20114434033603,49.67094349437713,46.01850737233508,49.970456973582074,50.81392093920415,46.316889752907336,46.67488444749244,50.294241514722984,48.691298969949194,51.673898028831054,50.97033570814187,53.63433534550989,51.42437777647809,46.28572000743256,49.41938564236818,49.520604661070074,46.12663150810242,44.642112576519004,49.31017341403576,46.775959739720946,41.803794792673344,43.97609558070881,47.345382486827475,43.94750675201969,40.282103217526604,36.27580600333472,37.16225200933045,32.69029859389911,35.60766489092534,31.70409590413734,34.53378059052483,32.459627163853156,28.667183907310303,30.223550001098584,31.011771259658435,32.84946823236177,36.764165557032086,34.95146513703507,38.6525692197449,35.58149992242916,36.7549286975227,41.88006231746821,44.14411065441227,44.37196496455786,39.30904378773643,39.999921385330886,42.66223493824591,39.509903743061344,35.86773784798229,39.161500471500254,41.9913699503985,43.13458653114383,43.29177977440381,42.594252680662784],[30.209882724048647,28.520677758847327,29.11491378450682,24.279043853293107,26.836496035400938,29.6425023626992,30.393230398873293,34.94275635281285,33.648484260626454,33.01793561984811,35.68749283024012,39.44377458624036,37.30938863900778,34.297792397259485,39.31277237908935,40.848292398479295,37.337315437043806,40.288543158599175,39.60432484683836,42.51131085429897,44.00521639676495,47.50045901574322,46.085005775823554,43.78661917017334,41.91126687811548,39.15672521771474,39.14085851354015,37.255693920786335,40.314362924916686,42.10120248635948,45.17633127108241,46.27901710992532,50.13747707566864,52.50678381091009,49.76654493994729,46.51983459683778,46.69475815136103,44.45836975604279,42.916551161313144,47.61930331504536,43.001655078511064,44.59912251337647,48.51512593612039,46.25552932152566,46.84340545452525,44.4884667655918,48.132372949793655,48.77722052836064,43.93669717574872,46.39408944494014,50.55167198928561,50.70892750314794,53.64374504215675,50.155272079302264,55.76070225678517,57.5541423192985,53.39613624521369,54.15390040855407,58.72089826362553,57.504848480797584,53.6322424288822,56.06594408801594,55.30433317023287,55.26330262914675,52.35931324384466,50.06118608435014,46.6114343578142,45.42947225563878,41.6351529998551,41.46631150620958,39.25192797603249,40.97465265636052,44.32162772876833,46.31963470032569,47.66440065224398,53.8931622737791,52.24715535290281,56.16607969779547,54.68531071357733,54.802891433188705,54.28325564375452,52.58020657359355,52.06668527277563,51.17119472852803,47.254161370911596,47.4604718813032,48.54923231660776,51.31010868350381,49.57087900700456,54.129537974423585,51.268554448688434,53.86299861793834,51.348331719831464,50.57265763555256,46.163922569329245,46.876859628223116,42.757032403711804,46.353129803683004,44.64537050696099,47.633556295223386,47.65445179119287,47.43982427944971,47.43044395279223,45.903195152835835,46.86199882599195,42.84080735769703,45.153835675113115,42.65072771775919,39.492068152843224,40.923541987612346,36.585997449746344,35.84231223260489,33.65809339120843,31.839797863777022,32.16812759022616,29.843520916200067,32.526441871291816,30.30067585409383,34.48752473349283,35.47850528106591,32.140046869810035,30.982720990386053,26.745110892103657,27.09747282355258,27.7868870023214,28.17462684512444,30.216597517017963,32.12415957163117,34.6194942329909,38.94237592348157,36.433621717273,40.92114426128633,40.04724619730799,42.85728218086937,37.2603856205523,34.26879152849085,30.387874158423692,28.952438235434826,26.67237659094269,30.031402928012312,28.225123003526395,32.33935516137868,34.034457228354626,33.36296538381211,37.08442654732855,37.9499874301921,35.14101643577605,36.70837892085632,37.47824721511795,36.46505064355431,38.97029392217531,39.671392170992824,44.15822399624731,44.721206868368625,45.543957058723215,45.34989281476837,42.46046856095563,42.80115970957013,42.078103592426736,41.02159462751346,38.14611686016899,40.50541805385803,36.26441906980345,40.92412078646215,39.16076035383116,34.196344266229545,36.59258738764425,35.33963055059018,33.12001261330197,30.7792636758305,33.267491123648476,33.16237330519178,38.20913869926688,41.21097467179075,43.46663666706191,45.84409406451465,44.973962817035115,50.26517861803499,48.10276207916514,49.04423821158383,46.00985040192785,43.27401395925498,45.46701559180545,46.268985850260584,43.2221395308524,45.65664569924278,44.47190555600151,47.97980944361433,44.11400052659357,45.05864968834234,44.07332433080057,42.826849270157346,41.43160240715299,39.91858080963135,40.82148998892278,40.994404171306456,37.17776493683293,39.614512896351954,37.486861868825955,38.791236107156,40.93513806803885,41.52509036548717,37.660150030929344,36.535630596132805,40.13821596505624,37.578952046308025,32.15616793477432,36.13117478221013,40.10034443790502,34.281592349874835,33.50895924670951,37.063116180159135,36.27252237586353,31.82532308227277,33.73362466957335,32.156536453516175,38.13804784140934,34.392377663597024,36.80685052820379,40.545369027559786,44.04229703553112,47.843572953614085,49.44062021662798,51.94938865293569,50.07231086422968,52.66823647167283,50.88358203325928,53.69134440858629,51.780828475358284,46.01257546775066,48.97007323963054,50.589640999852065,45.94316358900564,44.39184020432907,46.85824326483735,45.01777145010104,41.03722444534288,40.771416935342316,39.54697992931869,43.61609498354268,46.764004818800814,47.064744901203625,50.211386026788624,53.27779213863381,51.338214421233545,46.91359074654965,49.20793896396039,50.71088937085824,46.11626390456251,44.273802866594636,47.14811648414784,45.789396130412754,42.01934793890019,45.87913137245463,46.945741289427545,42.60134494418624,42.71007268103891,46.26349643238915,44.472630362316046,47.33739479941147,46.556436310221635,49.08585625514514,46.93787471564561,41.792546146290036,44.77640234611272,44.83718027784198,41.48447039795755,39.89966312962406,44.48996122265773,41.99348987404558,37.00658385337954,39.097931766368546,42.459704727853875,39.11174557028438,35.42525508897738,31.46297627420925,32.37124202580025,27.94517733673639,31.042869994130896,27.137412326015365,29.98290417834448,28.166560089143744,24.197243779464262,25.55239993158624,26.182281100025875,28.00537074247359,32.00219457225878,30.402221151956272,34.15585375232145,31.362148623054328,32.5969464061507,37.86560942323384,40.14072665615019,40.67993667339196,35.54292410128231,36.162549917431825,39.107621009406145,36.17887982313892,32.38792343755036,35.6119452209284,38.7355600540395,39.87321397479932,39.99700544226004,39.33733217243528],[35.34143735546088,33.37102306408835,33.40032995117208,28.512221961301613,30.17768253293696,33.484921204741795,33.717367650667846,38.25598913043247,36.97305524680487,35.71295147148126,38.36020666207701,42.28573322214464,39.50711798348161,36.447162680549766,41.24831283563226,42.62948712710746,38.69366456664176,41.13405551919448,39.709277277637845,42.56033165915132,43.510393626044845,46.769825592700585,44.98936999416843,42.33447647056677,40.931021104920084,38.53006087200612,38.95838548170504,37.67444115252938,41.15532920218931,43.46862559237412,46.50524342963515,47.99955241501035,51.91181883400015,53.814718163608404,50.95772205381586,47.38255422288725,47.868535329239776,44.902612771105616,43.107435753239336,47.47841360176553,42.466043609309075,44.163721801309855,47.82434746653479,45.19319273074303,45.29720211152071,42.62612389373115,46.089996085867966,47.23335786963604,42.501890139636004,44.692085852369075,49.152541053697725,49.655625328607194,52.65622307333481,49.55984756434557,55.2330688191529,56.61738357843822,52.44795573160178,53.748206919969896,58.133268627259184,56.416820159379,52.81744272015303,55.54060194225398,55.17096264853457,54.64922562274927,51.61101808893679,49.776005881872095,46.34432837541063,45.715609254910994,41.86440296480756,42.291153287206896,39.90043448044931,41.518437366809536,44.97766229882206,46.43721570669294,48.2240351455231,54.19687519645442,52.45677949370522,56.62620549106859,55.04979056977336,54.857538395122845,54.74860684689968,52.8521639198031,52.883224866063465,51.66298872871699,47.58239804712801,48.10738158762319,48.8639092304726,52.153604861894266,50.05355046735059,54.978946673142666,52.089715891826344,54.65572184041721,52.4983060932196,52.11258059438001,47.91675366947818,48.85200741052322,44.913865269965484,48.56768002349656,47.16254807012091,50.56065495940971,49.93182280976924,50.01457789488248,49.388791534916656,48.15193389229115,48.59890223377347,44.93600997242607,47.32082370586315,44.68200118222217,41.96387780581219,43.50444369832003,39.411801010623,38.14163952268635,36.267453704519454,33.842673633115254,33.995270665071324,31.15549971076421,33.3853206861292,30.5394026913337,34.365481874995304,36.129177692731574,32.944612100566935,32.379240416712186,28.030660045333306,28.952106163546873,30.305158442734047,30.255225435282938,33.07581079929609,34.35183597703842,36.844697799796926,40.7537164251969,38.154864257756145,42.492224018345425,41.05729527397232,44.10759979878483,38.304238731079124,35.59070609081596,31.875068613636248,30.11104580825411,27.59443032819014,30.617695036441695,27.887611127129304,31.41887617142484,33.66877574813862,33.534737756445104,37.1841602606645,38.67151120522829,36.11300087570659,38.283001732892735,39.430432061526034,38.97719809218538,41.827502410557855,42.890696297482144,47.494232430125884,48.50238167671471,48.91696900546074,48.363165097011034,45.15834786862907,45.43127188277688,44.21213609540399,43.07345639969524,39.54032553675772,41.4994578336795,36.76440748308668,41.2402121793737,39.23304145948075,33.88801194292353,36.46001798739051,34.659842166588554,32.9899385761842,30.860322933355633,33.713970696503665,33.74804877997527,38.82182137998751,41.98841098075627,44.436466953029814,47.21482581475221,46.435573834643584,51.67318730181945,49.024292897889936,50.09733611436339,46.58782075893634,44.54065929734185,46.236976832974364,46.64091343208389,43.50904938913472,45.478064610871094,44.20186234850049,47.30011656049614,42.88053930802962,44.10980231715079,43.079851400526586,42.36697066595846,41.17910640361789,40.11771629706358,41.305786448189934,41.7758702736854,38.439701306125464,41.267693981999436,39.646927327775614,41.256535027553,43.71266333640058,44.60847943319377,40.71461957145335,39.68933640435246,43.58463365455846,41.286428592553,35.813616648407034,39.918754407798914,44.18377192368673,38.57235965420873,37.86116770641174,41.56619152608283,40.959850781901196,36.61757185302271,38.52005892447839,36.638889146759325,42.69465913475086,38.331595737032245,40.69845056163005,44.60456992982242,47.72146779864783,51.812422974391055,52.87945683116333,55.4002926236502,53.323404841753984,55.740820358263626,53.85155973229462,56.32670322599868,54.530444760865066,48.752737101335626,51.4135042758067,52.76836935337867,48.19957979087315,46.543310048050174,48.565488434002354,46.69187345808768,42.99171630175593,42.30667465098092,41.79962797183891,45.76589993043295,49.064894894092255,49.87931345683357,53.04810939415293,56.442879417564725,54.41348916571393,49.95729309664832,52.70255296311598,54.28950643925091,49.60977387249076,47.98019071766037,51.16954953632492,49.94434917363471,46.20108799230399,50.1130537262162,51.41568456700517,47.22429586055302,47.253669632897875,50.76219159243988,48.748005378885956,51.35665662647315,50.279731857480385,52.6311179762446,50.77683323638858,45.56414250322834,48.10409749744384,48.226874879601276,45.031681716757106,43.023794815885005,47.36834483959576,45.0707830844724,40.08994602479248,41.64394810141409,44.93443243487699,41.78862165314506,38.13811690041044,34.52930579196669,35.11045029896069,31.04440735273305,34.722890304846004,31.035937944100098,33.85313797660749,32.39041371438089,28.29365227413168,29.104930867390316,29.24722417735861,30.714133173639745,34.93385755732636,33.329278504214656,36.76713319965736,34.085769417054074,36.016520966337524,41.21477270112187,43.80245833724077,44.300862059195445,39.17875924802961,40.25239148194939,43.33781456142742,40.151283886066395,36.7542418396097,40.20022445626201,43.4903755225095,44.71771468503832,44.8768620762108,44.2616208220031],[35.83781064221399,34.08367208369357,34.3449083371136,29.119104255116454,30.917450341828225,33.4404280210976,33.35981773132131,37.73867956484856,35.91038170085337,34.37071072112624,36.678076227793596,40.77759478372945,38.117583804359526,34.642586295314324,39.27051628131568,40.911566967323694,37.07039353774033,39.25992962248672,37.66519996966551,40.887698647103406,41.70261919966973,45.20273351497193,43.36502751302501,40.827756697461936,39.580220658103286,36.90955233988448,37.68321027904417,36.32277892685232,39.69582756254096,42.12261791815925,44.543437015095876,46.49688794024947,50.193877033306855,51.978510160285985,49.3974557971925,45.808762951448315,46.68872510147108,43.76076618046471,42.242126511878006,46.962096866736395,41.81485064945263,42.969858149899494,46.75730571356153,44.316884472539186,44.29247115253324,41.804999981029034,45.37002248016341,46.580514237740374,42.049993092659115,44.64708165752878,48.94539522165036,49.61078247156148,52.28694501743565,49.082927446391274,54.759323631711524,55.914993490051344,51.558741314762955,52.7502509789899,57.08538434525316,55.32084208784158,51.44512333006718,53.87140611258627,53.36673363245056,52.634190062623986,49.82174374833587,48.08702074339335,44.21652062763271,43.61735045295467,39.44710479223679,39.82917232863123,37.245314495168074,38.532266567832096,42.23048128036699,43.80052871514083,45.87227937747883,51.82648444587764,50.47423758646375,54.65443015320921,53.38754359268949,53.46452098115595,53.60920520000349,52.082206350447215,52.274653771103424,51.39488614227112,47.216836799259944,47.390726976460755,47.79540760632793,51.01390732959011,48.511916130269164,53.24332296802004,50.08289677507657,52.33057435467357,50.18094197011249,49.93987803098766,45.84640292260813,46.54605383525381,42.71202238896922,46.777281051184566,45.62636366831369,49.282259964292095,48.75058259075644,49.34897757370565,48.68366545199713,47.94284205703327,48.8037348170484,45.27836813342459,48.04249672649981,45.71991623229691,42.999879059322524,44.120850404969154,39.91409638506885,38.29675914905777,35.991965581342455,33.51915513444509,32.99776572686894,30.189968503599893,32.049080079990546,29.24137078945519,32.45993585674337,34.21977596460654,30.93579589195441,30.588803716367647,26.580707122855298,27.89086155292275,29.553277379774904,30.160362665850375,33.41239539450667,34.85065671397563,37.7006719580152,41.5525679115495,39.51328804833935,43.95336042589969,42.430024955534265,45.07856075634822,39.31938803379429,36.24599544598461,33.08005830628494,30.701241721126262,27.749923206013545,30.485019701746022,27.449340476632962,30.86822428232624,32.73432228413866,32.83616874200258,36.49217159382053,37.75171112572074,35.33406653520469,37.509901177802675,38.96981296521913,38.35117546700185,41.522062299484915,42.18524271292387,46.95866530717458,47.67284083725261,47.826402917106115,47.45168970836033,44.19666950011422,44.89191505591094,43.41825911258336,42.88402168544082,39.41474676729056,40.93530422033305,36.481510022102135,40.96291539976191,39.48573602987721,34.38774284755127,37.42376501403055,35.95448755980442,34.547705927271345,31.985930037588265,34.77040573291786,34.28003356730836,39.191599867744806,42.13111149751563,44.28207892170911,47.0316288563814,45.80681565647047,51.20921522419521,48.7140447009939,50.0677791517677,46.786375906285905,44.90192141774731,46.982364394789236,47.56327084219979,44.276936631620394,45.83453708963747,44.13752309201968,47.4222018984443,43.1097202134535,44.77526889140754,44.110230520174134,43.3047820821347,42.55532809363149,41.607628944326024,42.99865920483229,43.76365604689877,40.31980613569082,43.23779474427407,41.69470622970435,42.875996806270386,45.619081085538646,46.10803386264888,42.09993507887496,41.556238053629514,45.37666378727688,42.68730599927072,37.52866384034715,41.83397876403464,45.723845418451646,39.91194015819385,39.52911117879913,43.21455508887669,42.14108633638612,37.89405544631088,40.2297993723745,38.616878334811595,44.696396293097834,40.95499011348059,43.084770668838246,46.93793754089783,50.34232046503809,54.27311233960482,55.596930008253075,57.92960416296186,55.75649133260182,58.074595995595786,55.93681869613674,58.66471797127434,57.089570271664634,51.134484926245904,53.69834802420149,55.42412587479302,50.92156738838217,49.02667119320258,51.086852047194036,49.613139555051454,45.83818089433787,44.769555295337305,44.12460613764382,47.654604676439305,51.04516560560377,51.77034052337527,54.66735239328033,58.01118961454679,55.671696015364,51.404223910472446,54.20838848092213,55.44712370021555,50.65223340913886,49.31748227339251,52.32561496933337,50.86275175360781,47.32968308307031,51.4916248318207,52.54139188879627,48.177844040290175,48.646992865730994,52.307462101622086,50.51298035405918,53.181201625412854,52.04838399785132,54.689215279281086,52.93734769240554,47.58857425658513,50.29734734919839,50.70797628480338,47.47850370975912,45.43913271963171,50.0986004195271,47.99336872073864,42.851769576211446,44.448106535992814,48.05083448168003,45.03090096703354,41.2706485048542,37.42614364258206,38.47315333711522,34.2438664941465,37.65714817654797,33.598135825037986,36.09523910255754,34.09063371273539,30.371567071921408,31.379740683916015,31.986427616793367,33.280017135111386,37.257928744352256,35.05855812761287,38.372436547898786,35.179935707370895,37.08495391783739,42.045200559815875,44.69524090356998,44.72181369393873,39.69754912166308,41.02919280648488,43.77100070430261,40.1898108672309,37.12915727823665,40.81563458494687,43.84156689606582,45.17552740922063,45.486457966035076,44.96607449065115],[31.19718927187325,29.304287064957133,29.412871308125176,24.126151335757804,25.887739848769876,28.37448408679563,28.338409533347402,32.75642744694011,31.07830700405387,29.72421288067871,32.206404448200786,36.20191947230292,33.628504891001974,30.350090729008183,35.16004112133853,36.720097685087005,32.987140129819416,35.55190643475508,34.46394010002909,37.54188398408824,38.78960498057843,42.353926129099115,40.82135088018273,38.51366646391191,36.81310357037082,33.98454581764051,34.30761071870782,32.59793154976789,35.79856521891125,37.93868707643119,40.67303037496353,42.247688387127035,46.03537639634076,48.07211413377095,45.405437888548214,41.971596448365,42.54670759287974,39.97490851439777,38.51332291421495,43.367415986914054,38.498193919178114,39.75333354008156,43.685691293803586,41.453667944869075,41.85943059613701,39.580712851576656,43.28038184530793,44.04095655025753,39.36469703044568,42.11088585102136,46.19776909187847,46.56982574114167,49.259084498757055,45.786326332854486,51.429148321936154,52.93154161537122,48.628814934089576,49.47095682952509,53.95663802311619,52.57183364202687,48.58821466892563,50.940291490253806,50.23626390968756,49.94233464574495,47.10202326383154,44.98891469510705,41.32933467627865,40.35890198659601,36.40903521574117,36.49282871031607,34.13408481076084,35.76267359489674,39.203743897268126,41.00120252097062,42.619976942936866,48.74699582230969,47.21504732283991,51.25253038267494,49.88317083232056,50.03114904600556,49.83914202867617,48.3082732546444,48.16101770558271,47.386655240322504,43.307268813073364,43.37906163789024,44.07252988002452,47.03288352641502,44.87344456622515,49.508191135664646,46.49463460379651,48.95282657550496,46.62023663229087,46.1213000294696,41.874707236051876,42.65431722501563,38.687873121352304,42.50202958714968,41.142382288728506,44.61279664735883,44.192639582272584,44.55667304043609,44.08595880133067,43.15433481489501,44.156573954976686,40.49373024223824,43.25166168981003,41.00326549556968,38.15720625525518,39.20480276761185,34.933279215712616,33.43777071287297,31.08065317340347,28.778348860463485,28.46499629111111,25.839098418802564,28.053747220279284,25.561717050292064,29.305037513991564,30.608883761154438,27.2786882921517,26.53179417623621,22.382321346929725,23.33313603148149,24.724119675233343,25.35368115959432,28.410297251826318,30.007584300948967,32.89523393839016,36.878437716884754,34.95842187771525,39.477767704527565,38.16685059275058,40.64923640356789,34.97972727723615,31.74251858921415,28.57516956851847,26.248640507247497,23.388284410298514,26.334149993668074,23.891821018886567,27.772825860152672,29.346245361683053,29.03630708184538,32.75267244653884,33.72032463249412,31.124147072807514,33.036182495937034,34.29174775070997,33.534527495901095,36.5776596290028,37.26694734050245,41.99343645738866,42.77607558799898,43.02914405051186,42.63130825204609,39.443442014252895,40.04683055966662,38.768341660518104,38.142471354498205,34.909097094665974,36.689872858912665,32.42730633879797,37.028685582047274,35.63754487432486,30.752503299012243,33.70599619048669,32.62658176050586,30.916082931117447,28.14802448985255,30.723740144798057,30.11856225145579,35.031365160885336,37.90236977636589,39.99071901335377,42.56481115392913,41.37645558601425,46.78131954679364,44.480132334778574,45.73591260827467,42.669253499062414,40.43610517815821,42.763114480730074,43.5662300316342,40.31251922704475,42.15072870675545,40.543165827807925,44.09512174674432,40.16785016116422,41.60527526567812,40.986762838924335,39.80530187556835,38.971788809979024,37.77744976447255,39.06584596753776,39.771042250162274,36.08393647599044,38.886911072583764,37.22763561508284,38.17478348456306,40.96081818035323,41.261201653834114,37.22781400350555,36.852495716902446,40.62090097439288,37.79256904022495,32.77419913092769,37.176301421650734,40.918548533691684,35.089509593757676,34.88283872912283,38.60332660149404,37.393256080543836,33.2599009169529,35.84272805196782,34.249137156832255,40.359830704408175,36.9146644758666,38.773524862985234,42.62101194573868,46.142279131230204,50.02418858280186,51.411444961408016,53.5744429068032,51.32457301244072,53.57446865430775,51.31549168599895,54.20696952725962,52.752411181958635,46.70161112249019,49.253603266138995,51.23794824330284,46.773263497102015,44.75677981662533,46.95059892724784,45.73768440920728,41.85390706891286,40.67360770286288,39.76179651006058,43.11691554113831,46.49912021606278,47.08837484211807,49.88189704396454,53.16673724694928,50.753611150713816,46.54023121651641,49.32738901454,50.46740983277478,45.65339891535709,44.3905138238457,47.36783918206229,45.86987303688911,42.39558213977251,46.64162631235822,47.668281445248056,43.31639815257671,43.906399134527526,47.612518764693284,45.8556396312184,48.480405095183556,47.279239001170374,50.046177926573556,48.39995436939813,42.96993860754281,45.72984686458466,46.33403183663355,43.111607347061245,41.024779233081155,45.89528748224837,43.97740223550386,38.715025346133906,40.34230565624655,44.20602739215079,41.337964231539736,37.48011859869917,33.45298834056383,34.99471789413142,30.68125994786211,33.91810215162443,29.53982294435871,31.70503967431072,29.452836648972134,25.98384285755981,26.994061106796945,27.923945525401713,29.059492821761815,32.83144612409672,30.33820918833713,33.64415906752086,30.295222054515897,32.109376259654965,37.023663706550174,39.668079333950764,39.652237068645434,34.62936750642409,36.013700708782466,38.73481354473343,35.12607066060902,32.12316543450362,35.889015461431235,38.961625702586346,40.35496917656319,40.751226283792846,40.356395678759455],[32.55259711203422,30.232791891398836,29.67093749894012,24.683310922366164,25.630064560733658,29.160824231266748,29.04619408651558,33.55480153157359,32.45779392704641,30.979235425214455,33.77180943543782,37.640866111529874,34.547688683171636,31.730243416224983,36.52274264398666,37.688400654599135,33.63870619465446,36.147161201224755,34.850034979202576,37.48265090163059,38.597590601999926,41.790020408421114,40.165018169517104,37.59594528024886,35.941664062450364,33.56253421101445,33.74535059598604,32.43684023142776,35.95423496680282,38.261473314682604,41.59325792449717,42.90614591284382,46.92169534143659,48.79623272999786,45.795026633605275,42.21274199784247,42.56143670298791,39.56950284035452,37.714007105473314,42.06285768698343,37.14308182613085,38.96202629890178,42.642274591275985,40.07097004771262,40.40149159770774,37.83400112914976,41.372082154943584,42.25277376649255,37.442443658547674,39.72744641556944,44.069319948004086,44.44042858027599,47.43807480676207,44.23271944132798,49.898731231342026,51.427847478720466,47.29691346725145,48.47957527096793,52.923245588468355,51.37118247380291,47.77598329398461,50.54558235449876,50.162938583110716,49.8640741004894,46.74038790190496,44.74530190381609,41.56982397971521,40.85168676979868,37.25221574820538,37.711229751036775,35.500510271891955,37.43909442265756,40.62455704788974,41.9937536619642,43.515779255645846,49.49310406283442,47.50707875127857,51.642874043665095,49.91232950309057,49.63709560134962,49.403743257494604,47.42946529380288,47.414040528702884,46.16418534091613,42.09655333849318,42.65682915044743,43.51105496019124,46.805853814553494,44.86324062080111,49.86778055451418,47.1363058142913,49.9060446862828,47.77760705010711,47.35013763725881,43.15354699514826,44.32280105917565,40.39686971522411,43.76246807019909,42.342256327233244,45.790260109143894,44.85352595619504,44.90286157064886,44.089188467869356,42.880693448220825,43.20887640137876,39.654286361334854,42.13558138378426,39.56241936233944,36.997425446757795,38.44508723161374,34.44863660225624,32.92257656168655,31.182921231205405,28.55813394881664,28.809932906256854,25.86872346492784,28.16954006241971,25.318450160878477,29.473186490729354,31.185796302911385,28.102348469208433,27.4850782120677,22.977976522198105,23.85082386865832,25.32987695917149,25.002756846248303,28.14207305512223,29.166359910522182,31.73880743293012,35.501470691550274,33.1008728199904,37.454314329805754,35.89321366037682,38.806825202459834,32.993787355723065,30.210056026401826,26.70477745610141,24.695529212663224,22.10467874484557,25.109204171286528,22.48233296178181,26.17419068019485,28.380102221727526,28.11403316052774,31.765186546324603,33.28107938620683,30.70609189143736,32.94901546975389,34.12121624276788,33.88572147607445,36.823397610878246,38.135999590630036,42.74211242062853,44.12397213921896,44.33707097872837,43.51483910123825,40.19194601993954,40.337104710015254,38.99687465128211,37.75500899501922,34.08858541113499,36.03978654637881,31.26428157097145,35.74775385065736,33.766534602285255,28.489139236129496,31.153051085603447,29.57186135929486,27.919944679071314,25.56675875254975,28.38605877662906,28.282491072610647,33.33908573554227,36.48755003625538,38.93670587367943,41.75110901103032,41.028841714410994,46.22802948700021,43.52690342983706,44.60194776195356,41.09228908111977,39.096370267010435,40.835984472637676,41.297181211965054,38.12094321181726,40.067496818022065,38.7770895588694,41.982297084219915,37.73118451655143,38.932105847931126,38.01471281537645,37.12905398311864,36.06415548677509,35.00171264346026,36.29480605817229,36.96267004704295,33.6011163984037,36.572208080769094,35.172821593843295,36.58795336268103,39.388609755296926,40.16035976021556,36.19685027038076,35.570485575175695,39.58784773543782,37.21658893340369,31.970203152238263,36.33727085952987,40.53186520379568,35.02663447823508,34.663264506825364,38.51682844426283,37.771792105071356,33.69103218901816,36.0068312006902,33.98715518840884,40.1444368781748,35.89961409578745,37.786323815519175,41.79549209608692,44.87630225714503,49.064901765984466,49.90921118055179,52.148538348557466,49.789067880654784,51.95498795869022,49.756313668720765,52.28706523853377,50.801039155023915,44.831945157656854,47.237729462007565,48.867796788774506,44.423676015503744,42.453095150659976,44.35879472628676,42.943563680754906,39.2599787920311,38.0069997921295,37.60569059838783,41.150535990543204,44.56892799761309,45.54383240305256,48.52162506781275,52.0559936249516,49.79752422818594,45.43872194049335,48.49614399433098,49.93402338692953,45.15496338951738,43.83864806847124,47.17407625339297,45.957131634856815,42.36202858392264,46.46736023226884,47.858445235125075,43.77373537575051,43.9940699080305,47.5597803491233,45.483769920745345,47.85527926530982,46.45493099501686,48.91814575846609,47.45227066022508,42.045197211838605,44.37309912816425,44.8864317903459,41.80592114912677,39.41335385110563,43.965759183414455,42.13308376299607,36.93273789528568,38.153996592422615,41.863377798693925,39.1196723206871,35.31471579103403,31.62586031803935,32.83129738748805,28.84391531968422,32.614761777260625,28.52667371336307,30.780696527056605,29.129587468176076,25.362072035535917,25.815000543744464,26.163089492727316,27.10157518505238,31.140326875235218,29.00413490859174,32.17100595052232,29.285217585195852,31.592150660531548,36.61614627693087,39.42342787452851,39.76091488762502,34.69663628031481,36.2018652320344,39.29691306509016,35.85913124801467,32.89417558858609,36.61279564786065,40.03481989698388,41.42031581678332,41.748246576592,41.35708981674605],[36.64074791170969,34.34743945949688,33.67636488548968,28.539965831626752,29.097899001912,32.366939673468714,31.759505981854662,36.09572963597825,34.66964197482376,32.623178906014864,35.142411714569974,39.19589161929937,35.772274596424786,32.685122411402936,37.15614393462508,38.36739774839583,34.109305750290815,36.040166352214946,34.063423052412105,36.875459852753,37.46063016654162,40.60852719499276,38.65600388351814,35.87812102382308,34.72522776915298,32.46983354355853,33.245129671949734,32.37905269513808,36.117519293366925,38.87429862364323,41.75008724283192,43.63642367279407,47.524128671472354,48.972800094977266,46.080686534597625,42.26722229605727,43.10323458965394,39.606817607990905,37.75326458200799,42.04405698850886,36.75341356193176,38.27709946394098,41.81975883197662,39.08875341545439,38.93844989815581,36.241445028603714,39.69230058185926,41.02312220187245,36.453574602911054,38.78965735673703,43.251590013215754,44.003394649471936,46.82542681596397,43.87110003163099,49.56602087710198,50.620646127819676,46.37046868720658,47.9026758449341,52.15662846978284,50.18706769800988,46.63598561725972,49.43179120804955,49.26662896901462,48.46150006447004,45.38449147450381,43.82529732067965,40.39378808745062,40.13207734477714,36.30654811980298,37.1969264852798,34.74558018357208,36.381238757866,39.780430422970205,40.795487845256616,42.8301936529539,48.572480623657405,46.770274969291066,51.08684811169949,49.48955580195192,49.15298895889864,49.39848975589969,47.528461820536876,48.02899461821271,46.76643873264057,42.54032520473203,43.10646216334382,43.46994230664431,47.09914560290326,44.633291287884596,49.763231933213774,46.85045040882875,49.38280678569597,47.53551357054153,47.48926878032396,43.539540370946796,44.70984323640427,41.008846314956806,44.65312847366149,43.61700550844105,47.480533334011,46.171265405599996,46.75474836538003,45.495422712068205,44.81815038803845,45.05171720277885,41.8695281638676,44.61162139212995,42.171385172402445,39.92855883854109,41.17194405412703,37.31270764354233,35.24426538531379,33.46152410312635,30.437568412182404,30.111450819205,26.866529140208158,28.52485514814379,25.247962416977998,28.639855736655218,30.954520263676805,27.966852517167148,27.96201241315035,23.69112608769097,25.231677896392895,27.345338349041967,27.164321229976032,31.02542484061717,31.72434104622199,34.47426925622045,37.862503584582626,35.78732997236741,40.03735664167205,38.047062896660634,40.839697495527055,34.98631323620918,32.217489053527814,29.259992174228437,26.663914903248564,23.671308914214492,26.133878211683676,22.587808600922617,25.634675297275116,28.014762606071,28.358131069293655,31.9072646566228,33.74025722759776,31.486648548366063,34.15238480170393,35.7861206776137,35.8330640859883,39.17012960068804,40.44749071955764,45.1940602161268,46.65699669804683,46.44919536117199,45.51407026940867,41.97780432585928,42.34672493468494,40.515491808864006,39.62100455561505,35.573069294737635,36.91275790800806,32.008019159834575,36.29755205606944,34.50760154806074,29.171802833788387,32.2518027444514,30.487720360438132,29.480550985964257,27.052495514244338,30.045211119324495,29.69681163944663,34.58035875511005,37.66140769775137,40.03151333813444,43.09484931037612,42.15499590658127,47.38014897381024,44.44257982666981,45.7887870330055,42.10560354055656,40.745119508073856,42.35245782822331,42.62855058661828,39.32036431803692,40.61660514678861,38.98258540937779,41.969440394758166,37.37409498779442,39.09236172209347,38.39417698533239,37.87602532222756,37.27746430396078,36.64648575069272,38.26483191313969,39.323084431409896,36.284127329301604,39.530693623413406,38.52695060145877,39.86908563487982,42.993524741871354,43.71201811904244,39.709422051371135,39.41798927684967,43.51846148539772,41.100702630549904,36.05361810935334,40.54399767030333,44.662942145768746,39.195660866634014,39.029184932347704,42.915948621346416,42.021416310796866,38.053301843262346,40.556826734214624,38.55103836460468,44.71969822451816,40.495198504452084,42.254487174094805,46.294169306200594,49.3041318536681,53.54565106133367,54.23128661237667,56.377118850002326,53.86960430584577,55.86869289294887,53.48744909303557,55.93498422202868,54.64678702076827,48.62087604314359,50.772945077066886,52.42642900132805,48.101347540652085,45.95653104889434,47.57780698474494,46.37347863222467,42.86797240722422,41.15360666892307,41.1405742182687,44.33162378990006,47.86626981809532,49.10390272721523,51.917918132765216,55.6033277275635,53.124479139999856,48.88771137022457,52.22867938634115,53.5090225146417,48.64520840282295,47.63111749356358,51.02019470842542,49.74993544243706,46.309866131591185,50.554715443539806,51.924363206236706,47.84217296670253,48.257054933618875,51.86368317020782,49.79893843532613,52.05768051200019,50.47545599999372,52.97755379561532,51.73182972948153,46.25361962873796,48.40952942718141,49.0983326475391,46.10576197837891,43.489635114423706,48.02089306959784,46.40097267312479,41.17493440950238,42.10655040060512,45.88829714874491,43.33243984195093,39.53728825297269,35.97109203668805,37.17573866700825,33.33816646139198,37.22991502779479,33.13573366651048,35.23286265638856,33.50255063957836,29.89166321025269,30.20175834534703,30.516327921946786,31.18468030413903,35.16110578239743,32.74314571715564,35.59893693598692,32.529967208946175,35.195237333275244,39.974641992338526,42.97201671462175,43.00460939174005,38.05860363217449,39.94966828301807,42.89384927636476,39.109652937184045,36.581861328150644,40.516684310720514,43.83951086813002,45.316773198667995,45.728354075231785,45.38606116375009],[36.147024260062146,33.81198563451497,32.96762744486157,27.721280622354556,27.944376209401824,30.91688078445806,29.952895705788013,34.14294672422602,32.557506518897114,30.215024138297487,32.61761055517013,36.71864077783307,33.145168501077265,29.9877361858176,34.3213651115424,35.528239409710665,31.22378566757784,32.999057182228256,30.91951015505518,33.80491253463682,34.354675917573836,37.57838496956912,35.64408128437511,32.937818681609514,31.76984082381193,29.408149571182513,30.28760049443239,29.434211149934562,33.17742200987323,36.04009826288186,38.75109522010045,40.80571420477129,44.63859631545639,45.97229965749868,43.133012251723386,39.281171656143734,40.27435297868233,36.719284467462614,34.95837707767341,39.38828920588187,34.043945106448135,35.348367842097325,38.94876116853894,36.317288911614554,36.178670711302445,33.60731717986151,37.14315099633693,38.40789164186342,33.91262580068848,36.500887676773864,40.83124857263347,41.626359281412576,44.27882750497417,41.24276472426564,46.93549420719884,47.918096069862116,43.58972933324626,45.04797697049418,49.29471271408836,47.347842944478444,43.676417576312396,46.373578241395634,46.16545436135135,45.33468065630388,42.307258581811276,40.75004485386066,37.22832784036817,36.98580083444157,33.12488076310739,34.076924344045246,31.6070694360072,33.249231285815206,36.628452972211626,37.59448929682315,39.670623534450904,45.38980793711631,43.636937053054204,47.96588287854995,46.43163462930501,46.160860637714656,46.50324358643672,44.76562156431552,45.366464717911185,44.239624836598594,39.9666478108267,40.39396386421194,40.595818595777644,44.23543882993539,41.61694451244618,46.723742044050105,43.75715661618942,46.24006297679306,44.44340306468589,44.48031737304183,40.604863574750304,41.80347330610536,38.18595358367181,41.87391717895668,40.984554219870276,45.01822667628988,43.54982242568576,44.39109645990438,42.97279773202522,42.5836498277483,42.92438727563984,39.91131316959494,42.87505523585456,40.63211214800545,38.51105038744711,39.49984816474789,35.684279627130394,33.29421671137923,31.40307362234267,28.22442783618929,27.567506820414234,24.248875576487038,25.664110974767414,22.330184569173007,25.513738367028914,27.898168587861875,24.937907588996772,25.106206996327774,20.952642178436868,22.755212947877794,25.161267544120484,25.147999009091073,29.412269514795927,30.005963863520336,32.9430321427452,36.162005583228904,34.4838959181263,38.7368739467648,36.62358853648564,39.13662630927588,33.33966771796932,30.39834165885437,27.899930227115522,24.85738083651875,21.597487115861313,23.79533879217414,20.026013284242907,23.002491155219122,25.18945956061197,25.663512401329523,29.197851650049177,30.981437848196563,28.833964938635745,31.593197346930165,33.43313037601153,33.55931443718858,37.10591716786177,38.331173452976664,43.138960733976035,44.670918601930936,44.211504471150185,43.20431848367295,39.5756576634259,40.081288352004144,38.02774746759676,37.38634582270178,33.27206552660239,34.32661356051446,29.52874474806647,33.78658031986697,32.28976349737152,27.13245344568307,30.510735439014976,29.01658889314772,28.223904897005372,25.499007137540627,28.42276513762622,27.72673521722165,32.46678455943409,35.40903076963874,37.626501933270774,40.71357537274207,39.585421019006574,44.85249478078039,41.93671811525588,43.43334591929696,39.845574862050896,38.65874258788738,40.43879518688929,40.80420657377115,37.40783992232949,38.43067730064764,36.56091589534142,39.663236799469495,35.183644374533024,37.13960674914716,36.694569580971304,36.08141848190919,35.798297169828196,35.264218091607496,37.04222425694071,38.349782523739286,35.308722625829574,38.649315240801634,37.82234205364185,38.87339655320389,42.273200951740876,42.75622061711062,38.706550376879186,38.825879065573034,42.917595282388945,40.3267177374612,35.578133113027306,40.22234670771389,44.11923963764266,38.67209572468173,38.801781513495264,42.710275145788415,41.572518013523386,37.80160575527708,40.63200905738345,38.69077766973379,44.857435806310484,40.95566054536887,42.40368448687891,46.43574500933661,49.51877901567268,53.718171819206006,54.395982332168934,56.331372079670835,53.668354908843995,55.49688871076558,52.87898504716177,55.435295322132745,54.39319552184914,48.24465925828463,50.21316502589825,52.13281197137381,47.925175230071964,45.5489188582017,47.10330465314182,46.289586482248325,42.80113325948778,40.663302145290636,40.66563576605245,43.42744801001731,47.03803074557851,48.322313864764126,50.90771979316578,54.628096930874,51.91202478093186,47.83216948734698,51.34171337934529,52.39375322513946,47.458467703767525,46.73886205771484,50.10407657590274,48.74661433896759,45.49302179616885,49.905159199825086,51.20534158912578,47.129957635223526,47.81165263743849,51.48233671117346,49.48961763801201,51.646851915331446,49.89698711791325,52.55214916911875,51.53760649851854,45.95343111121996,48.05761638984704,49.037106330908244,46.10621932389668,43.32069748926206,48.031379956831216,46.70755384637153,41.36786532870848,42.15172266881414,46.20922110012001,43.8961871988914,40.030180412575476,36.38320565129837,38.005301900271974,34.182750624039514,37.969959841261954,33.621595796947766,35.331804121324126,33.328062859845346,30.067260139437465,30.294897177023778,30.870345080311886,31.226004495206222,34.96306811310707,32.07663509090238,34.69017541705418,31.328700923193345,34.16133393630315,38.6867305743735,41.80517354183724,41.541100022599984,36.7155397794981,38.93264117774721,41.70483237144117,37.641211694957086,35.52200338762509,39.65643907771975,42.897005664633,44.48530973266036,45.032279595353565,44.82706852039804],[34.074931393799304,31.43246881831263,30.12062869073432,25.149206441605266,24.872320413702763,28.589115289403463,27.74010228611896,32.036908578971385,31.034169210215058,28.900294315589225,31.67549971969562,35.55393810038832,31.795863276120247,29.170336804110477,33.66327901078367,34.53534598077015,30.153176325230042,32.26794513036566,30.544364204308135,32.94777858861803,33.801178292318134,36.782726543194585,35.05398782006152,32.348950254900736,30.811729951810484,28.682814694975885,29.00829755180373,28.131827069877964,31.935105632489112,34.61308215386567,38.04919394497786,39.53063625570672,43.59755840146129,45.08528659728925,41.94133030260258,38.14959902355795,38.66059246840264,35.15206011764091,33.12421281582846,37.26130272209315,32.14056520017298,34.0285330073719,37.55535204211764,34.82682666715462,35.0140985876046,32.37122200981051,35.87783539352063,36.85532385756517,32.0938812098203,34.386500665214086,38.773697434395004,39.30008560678782,42.252879120268,39.19559065177385,44.88489579682462,46.21911344044509,42.08359158762894,43.5030136388862,47.85587530438354,46.11438917473799,42.664535371085805,45.615237364270335,45.46609592529721,45.02099200270592,41.770361474109265,39.966828267646925,37.00316968644325,36.59904883001565,33.2012008222757,34.107091249330644,31.957148842869568,34.06537133969002,37.04412579871755,37.948003803029366,39.544282844537314,45.29928416349879,43.0861245257376,47.339463058866215,45.45957642904139,44.94229773492138,44.926264928736636,42.830110624336974,43.188283958541376,41.76912943054932,37.59973954293883,38.33812868779072,38.96716115287012,42.605344611003304,40.49478751548292,45.761964009160785,43.13435846504273,46.006764657668285,44.1693086431343,43.99690712106913,40.01073791004682,41.50122905106331,37.78644896676995,40.940124648023655,39.78040605133321,43.55489267611671,41.91967976597406,42.25057851772837,40.834802379839815,39.98499608625127,39.94187286001534,36.82615077559126,39.51193878406269,37.03497874273385,34.96691077291965,36.259066744232975,32.57744065348074,30.382806893848652,28.932537246646866,25.730349101068835,25.784442790998327,22.433637874453602,24.308687710613775,21.02491228489568,25.0602041668196,27.280886788119584,24.47372372245198,24.313625820260942,19.78051365162651,21.09794681356634,23.214859283484866,22.45215763453676,26.470152075599227,26.80424714663015,29.478151080010765,32.69903453331507,30.645636308915044,34.84660150473339,32.76660176216558,35.550142061093844,29.69040980106906,26.994974775309224,24.10505301535478,21.46064648067237,18.55643697585027,21.07429640158904,17.747243644528357,21.050468256535687,23.546225753657435,23.627849932711687,27.178245667610526,29.1287268831671,26.802045423305845,29.535127709380266,31.060577898394122,31.40745022789104,34.68102261312468,36.35710563793206,40.999673834377845,42.92862209678873,42.63264694395484,41.37247823439065,37.76587677312129,37.833904079937035,35.99543998478334,34.75699060956042,30.55893350746537,32.066647589821066,27.01055745919145,31.309772834594845,29.335738479345128,23.969957461085496,26.9818596805367,25.346398938577867,24.26521857649719,21.744199453292968,24.723586444319782,24.417879991141398,29.340089681289086,32.487340582183904,34.9725389414039,38.072845649589745,37.37245616974228,42.48304743649793,39.44766694260496,40.67755294271849,36.918415950686295,35.53552875412176,37.048116094889934,37.3279348359389,34.032654250425324,35.48282984766476,34.004686085611695,37.05443430798843,32.62212935361786,34.1206138175578,33.40078934152199,32.70652538931853,32.06910245159863,31.38752118352668,33.03655969655792,34.19360610182277,31.18099834171827,34.520942965859646,33.729880210976205,35.00739161769053,38.35049672995114,39.07929947612824,35.08940871916862,35.03741343974244,39.232786027664645,36.909845783060256,32.06013968675338,36.662811233331695,40.784231853471425,35.569928605497374,35.62835812887276,39.59724113511637,38.74613198906046,35.062196302581704,37.75635311171068,35.571089780050045,41.72179024534233,37.47407211144835,38.830455963261144,42.926901195384204,45.776992244973684,50.11077043364967,50.510033413741475,52.4376067076158,49.71616121013283,51.497393063335686,48.92125392314452,51.328664493271425,50.26919230117538,44.16383159833565,46.08788989855896,47.87942970969626,43.68419048280079,41.32920223128398,42.820056776295985,41.943536152933305,38.506116183515225,36.370964502667356,36.506374556125145,39.393606202914526,42.99056468955844,44.40365610526526,47.10619525446563,50.9190236143763,48.34277757017669,44.161794941702745,47.757290108090736,49.007398341931584,44.12443530960529,43.31845351350026,46.88039983095424,45.713469064823904,42.37520576894203,46.67281684143179,48.20057010054061,44.32079262724259,44.75706669693355,48.32709631891619,46.15185108897415,48.14642873060059,46.2922532505732,48.78300257561213,47.87879449134367,42.318936184181624,44.194963115878124,45.154074141708925,42.31369135863875,39.37237246481894,43.952356620290175,42.729550654536666,37.41515937617007,38.00070608083193,42.04324541714608,39.858129864158485,36.00873170738376,32.506163929286075,34.135679561798234,30.507477718359528,34.47412068254837,30.223489452472304,31.8365905645188,30.149212074924755,26.835892128650066,26.715207204407182,27.064332870020525,27.235931150744918,31.02217188267915,28.308476517721992,30.869160750314613,27.81345972103665,30.851555297645845,35.47006401835963,38.633071274537315,38.67599050730301,33.81185518376344,36.01685405797638,39.055400599297265,35.21816176377732,33.03821263577108,37.08480237586032,40.58212892113793,42.15990460190249,42.67629683623923,42.520709637213],[38.264972479733906,35.64325599113572,34.39597192040419,29.587359989718333,29.390068464391913,33.43612362149274,32.72100879407879,37.04622931218563,36.123836234972785,33.970456966142386,36.713450155611376,40.60859204688631,36.747422110434165,34.117726685942756,38.495675422919575,39.327480657443154,34.835559469182954,36.66202689791765,34.505153441144834,36.83536233937611,37.265599115906305,39.99409367032617,37.96622987242192,34.9543698800922,33.88348451392763,32.13190229924447,32.77476544126787,32.34366663902624,36.3271056030654,39.22050614228135,42.605594957732364,44.24323635547331,48.3005775632513,49.56725112253367,46.38756124014566,42.4658759791478,43.09745689186802,39.213991228816646,37.000927633448825,40.73002539544986,35.432686069886444,37.48386164285922,40.72127349302441,37.6703132379818,37.420958761261616,34.45066265186399,37.688589681306645,39.153566952336064,34.51185595242983,36.34595484589551,41.03697804212349,41.811710743321456,44.90726279578193,42.264694413518775,47.93429541580699,48.98016728365658,44.929220443435824,46.80630321459366,50.97543766134014,48.83700705838712,45.70734749040479,48.89545753805334,49.05556637627088,48.2447980009654,44.91489367083661,43.49987139184646,40.58659428797215,40.581503965688945,37.15275388084854,38.388746046784334,36.11939533927217,38.03106315605325,41.13123347132405,41.72318721452568,43.63728313812884,49.17180649571339,46.9455022942021,51.321859373183614,49.38998302281832,48.639916018020294,48.86428454057227,46.584581666154364,47.24326603370679,45.531705014876025,41.349253370239424,42.38590375314474,42.87082354597291,46.8034774881261,44.5501356341411,49.99158407910061,47.3737308701824,50.17940177471806,48.54795546548859,48.57634350910568,44.7178129423446,46.24061070272083,42.61856974199143,45.817698706883384,44.7516964707683,48.58096513574401,46.78469702949057,47.10867729479203,45.50852586767723,44.62662087934938,44.21825202347596,41.2202942595096,43.705350018901626,41.01506889429349,39.11286341909361,40.671438784356454,37.14024759454351,35.012658590218535,33.816939893156615,30.530532399755337,30.679583232941642,27.214106269603807,28.86803693882453,25.32410396886506,28.988087667799256,31.65436518146129,28.974312878193974,29.10036414019263,24.64625372271869,26.095486632129433,28.263377976511357,27.259261902201974,31.174631028526036,31.301337161444266,33.728926687015665,36.794161164103336,34.36309201860757,38.36840697868208,36.101157923158915,39.24121748677115,33.34096909955179,31.064120730784083,27.95481878915964,25.64068954043913,22.959528265124646,25.315989934250343,21.611077175012817,24.283112860799957,27.266252813521916,27.692138992835318,31.08228750760236,33.43795892185372,31.27552088834006,34.22951151197933,35.79309016725484,36.33962596247592,39.56571026138304,41.382675739879396,45.98108839599784,47.97880518494353,47.70441564331308,46.38373563501712,42.74665143828068,42.71039011822262,40.80684664919995,39.38465706574406,34.95953012080041,36.381562132865476,31.061559702065402,35.13481072133971,32.81068390343895,27.179787012562393,29.96312414737075,27.693130587342818,26.888853333371607,24.92611260410199,28.112044880695457,28.226792009537313,33.12066484814991,36.4102461186092,39.08447023936657,42.36040544176676,41.85552006870333,46.82819553289053,43.5199420984021,44.70223529113268,40.61685904030379,39.574241476503154,40.58187952421103,40.50005808276153,37.2908571857404,38.59804851526036,37.265589342498714,39.84675731341933,34.941799093331824,36.45472712645977,35.48903053077104,35.324766740602975,34.57430898863008,34.154415158743575,35.80971433519328,36.89254404808941,34.27057237882041,37.67330441077213,37.00594572823204,38.72976189553762,41.88733405597344,43.00379353734956,39.11352703858267,38.67596277166455,42.95242794400692,40.95777865441822,35.84096182701408,40.25724338896096,44.69382893391069,39.587413754284306,39.340178593888524,43.29959269299122,42.77837957793385,38.93525520844783,41.23830496997656,38.900647192973594,45.0339814708078,40.20400246122556,41.901218421138125,46.0386376243573,48.61825484244216,53.09719942001159,53.26092269653227,55.419519829743805,52.79319786019559,54.65626828053781,52.3038227157933,54.39421808557907,53.14021821653558,47.22800972694599,49.16767058299907,50.50261257682586,46.27093220839745,44.14365376993066,45.425916082654496,44.11625912014254,40.8741149560393,38.99768341507355,39.52940249574262,42.76624644806762,46.31527195429204,47.938900429849355,50.85710828336722,54.7636514782797,52.40514743655951,48.099730394546995,51.703889496200354,53.21034650534162,48.4070898930081,47.41092291056583,51.096016932588554,50.07726889998348,46.59227394742025,50.70225264530605,52.37933010204912,48.568127651197244,48.69837769343346,52.16113929167281,49.836785313986546,51.822550804786644,50.03477830423997,52.256811930681124,51.24039005269291,45.818194402181334,47.528430624667465,48.18306859304202,45.37380302955261,42.46114996414026,46.659849906195305,45.208950030187914,40.0932422217247,40.57256909496469,44.206264207439624,41.86537940670931,38.16961488400694,34.98740029833566,35.92687960101387,32.49767766038079,36.78407509789679,32.98828634945954,35.04281655727968,33.824009547068236,30.10391671444623,29.897684783704463,29.720051872798525,30.10632121971258,34.19116018638179,32.06441280190793,34.66746772343117,32.04307283847927,35.14753538199491,39.90144096697081,43.03365420346456,43.33284922163992,38.43365978293352,40.46432123056078,43.67602881270853,40.03725262741145,37.63557831578134,41.51711820621661,45.09817511908291,46.57668627781059,46.949737818515004,46.64247351164042],[40.364734851176934,37.75081978838846,36.38665021482628,31.44123160378672,30.910422998818703,34.609618470377036,33.45390042567207,37.575862249434095,36.395757229194494,33.79391823147719,36.29903018516322,40.285601661298855,36.17954617015272,33.40090110572909,37.46753421344161,38.30109047957682,33.69664960980585,35.06194315743093,32.434230832128065,34.86537922181001,34.919496657139355,37.617850331763634,35.39086367918233,32.28048567093524,31.553005123782615,29.87503006814528,30.950990003304018,30.839749275336153,34.932069767254795,38.136479561414944,41.147223252724146,43.201086100500795,47.130927258538684,48.06348292445864,44.9884216199434,40.92553127401991,41.93240757551685,37.718999448022686,35.563909357886246,39.29151498429513,33.75805656464444,35.4976921456223,38.6444697942547,35.548188152306494,34.977708311012506,31.991463727789377,35.19843149320376,36.93104314816055,32.51677620869841,34.50987363804496,39.188203257259026,40.23933608414216,43.11163513140121,40.60502954029934,46.26589733056511,46.95894767624151,42.80533507234719,44.870171394363105,48.894383398001885,46.49981359129769,43.35645675024276,46.50955886075621,46.79809889823728,45.65217125948913,42.38124963363134,41.26402050905747,38.1832801266193,38.49557236732886,34.96154911733418,36.51104215063771,34.121144372959364,35.847484773109066,39.01711750737092,39.32709908568018,41.56323141666146,46.892545182733286,44.79939263681741,49.276676172619524,47.45923051909576,46.69561233048171,47.274848557489015,45.136567173518614,46.174697519546264,44.535332842383156,40.25102721242191,41.215350532424644,41.30135943790353,45.434916086196225,42.79043752889933,48.27877815313359,45.54516204053109,48.17341231312939,46.76186499390759,47.06990151446115,43.42943333882402,44.97128961145962,41.557313565234,44.90426278984861,44.14861507048006,48.28741409031733,46.189787572069946,46.963337129560244,45.01928487207932,44.615595819254004,44.215909298596664,41.549182061688896,44.301168035329276,41.82181158952397,40.1751201098434,41.45663092998338,38.040979858317925,35.44760828087944,34.17422458666667,30.614697517076067,30.2604092675054,26.626178743075705,27.736464051946673,23.945823075592813,26.962162551590662,30.03508027114555,27.49306292183998,28.08354555857599,23.90878529384754,25.83871052783081,28.47285437434728,27.650534666200105,32.13114862099974,32.03391517992552,34.65146152124309,37.39068927789931,35.40413383304889,39.329945598349234,36.76275744694438,39.63592272831806,33.79241098849664,31.440225328119336,28.94879403393621,26.071839974256687,23.05753532968546,24.89550989538959,20.554648518738244,22.673293899813938,25.656622266355754,26.550097498136473,29.813656300890315,32.335457763561216,30.45808928477318,33.69017530773929,35.62130983631685,36.37173018801578,39.913127250469095,41.66926075785772,46.35586540083004,48.42639429914429,47.779517519104935,46.36000086240418,42.57099587216675,42.73573388031966,40.437766647728324,39.36525220529866,34.71331648533023,35.593887379600325,30.300083410199427,34.18638446987867,32.164942376783905,26.66500256976851,29.8553211208992,27.665557616990196,27.40949841578754,25.242179779040185,28.44204381403134,28.19951055754489,32.8471289418184,35.98606446273994,38.50604159322577,41.926133592236546,41.19194326310058,46.17084882079211,42.744967901862736,44.171626701299864,40.057183413576446,39.51002755801389,40.53454903353902,40.39546436405145,37.07388735181364,37.79933394648547,36.120563520187524,38.60475196952206,33.56410336566735,35.55381954621205,34.8951992733847,34.91042135368999,34.656971034449775,34.5641943742922,36.49826725592083,37.95638045166218,35.52575949013009,39.110676071640185,38.75884026852283,40.244595471200824,43.7253090916292,44.65418285823886,40.72666972308729,40.71451067391927,45.00787657085288,42.874642198503906,38.04986339925911,42.611906379114856,46.85690729624273,41.77183936422496,41.79738221931608,45.77973230152878,45.02478901763502,41.344402613275676,43.938235869098115,41.66461927282937,47.80549105475664,43.21398469636662,44.66658645239795,48.806092498660085,51.41482307046807,55.88060626276152,55.98013032458028,57.957973733260715,55.16784250233155,56.8394653763999,54.24846064473957,56.36692238025856,55.37269976061864,49.36615741910252,51.058402243953296,52.576972586357094,48.49271841571574,46.135975754297604,47.2277909493798,46.28727676504011,43.155304260811356,40.78274591096627,41.50917909733133,44.275874824017684,47.91955083805013,49.69735898869428,52.37627073383884,56.370969661815415,53.75179745800126,49.62106003303948,53.461893474147615,54.73774617631631,49.856782696924114,49.197454934155466,52.879778378958015,51.775623854900985,48.487856176869975,52.76752373120657,54.37959339996737,50.56758284268605,50.96388558317376,54.48922090102175,52.22586246676141,54.102733416595186,52.13046076540828,54.47139828514179,53.701570945562196,48.18443609380541,49.790951958007305,50.712890925930445,47.982126206076465,44.873815803221966,49.1757261045226,48.010487854929835,42.81824456830116,43.083178747714676,46.92006641023274,44.819599263452055,41.0901409442444,37.90324083697428,39.11183038386437,35.738462836669044,39.98220095383037,36.01130312691855,37.76737138005006,36.31877981254789,32.8817517890987,32.604390003464914,32.60460207504388,32.69568098355642,36.581600831754514,34.02964292608401,36.3267976023057,33.43454932536742,36.78615625961181,41.24631974779013,44.53337412745574,44.49090866622869,39.74180596292902,42.14574860183897,45.16435893657435,41.19594325342334,39.249970204660514,43.345959236275554,46.81388489759697,48.40197999998416,48.89365732066456,48.68628285987487],[38.11665428526052,35.315325945180575,33.507453373811096,28.675013166757584,27.460582384179236,31.190074835134197,29.693860902989336,33.65160064325019,32.66458163426209,29.871287555259144,32.45328314424865,36.31463877731176,31.938504399189416,29.459752131055403,33.43405234539468,34.03021867729372,29.340291952278804,30.747081311412984,28.26389590536895,30.440994413453236,30.69523990813959,33.34363129119144,31.304949814938514,28.298131707273313,27.234258955922865,25.563539094326316,26.359040339266777,26.246110369637908,30.382537606249016,33.57952860133398,36.88068687875252,38.73233227770396,42.74331215300575,43.66031796326515,40.448499275890825,36.39247701217727,37.2537490046023,33.01716657294111,30.796212801382097,34.531063680091314,29.06824376067323,30.94595506391491,34.150047867271745,31.121179852889963,30.841947192994652,27.975791508065168,31.330398834134307,32.72371054631621,28.162413428232203,30.33789303463388,34.88807237958752,35.78244690210755,38.651864629190456,35.97352396186615,41.65511204304832,42.53766385025974,38.39558298651032,40.300657574581265,44.422282537520644,42.239086267562996,39.05434231376953,42.24849445364711,42.4916292097153,41.62436572113998,38.25734203442979,36.924610409289386,34.120521067430055,34.310468500554606,31.069990946888517,32.63786096524452,30.471518785733554,32.54156416609052,35.38167062001218,35.61754147661194,37.53353683114185,42.87923252907467,40.52739727195617,44.956721164026874,42.98145080987624,42.149492564769936,42.5778942453151,40.369072445167,41.34337079206503,39.69488868208939,35.41488660125701,36.40059443125378,36.588198916130466,40.71664618686699,38.244427238019746,43.801143157275135,41.23528640458113,44.076054474919935,42.677269623538066,42.922045453480386,39.29560772644364,41.057732014394475,37.686235066413126,40.70898311084092,39.945680433402806,44.090087101326155,41.71670239059469,42.46132253109996,40.34491789258529,39.993328159911556,39.496347627550186,36.976179786679005,39.822344087186856,37.460331425998646,35.99979410391369,37.13877767642618,33.88388730759851,31.031795497671336,29.922139478984118,26.182331823979762,25.883178825792605,22.15697409030378,23.239951747126042,19.403384564282156,22.760796088428773,25.801201225124586,23.428791060879266,24.015354402630372,19.79354804659124,21.713314125882352,24.494799029484955,23.389660533876526,28.166506096804955,27.763162328638128,30.425242597644974,32.93003972429303,31.236143265051115,35.11686076412493,32.43367519977271,35.097045773712026,29.30643256120854,26.89654762771489,24.792870272864,21.601433401770795,18.49873376968394,20.130660535745736,15.7260580361161,17.95295499045431,20.94583238614327,21.751745330661308,25.009068503262775,27.59223841738957,25.738173452477376,29.067690836221683,31.042136095027413,32.034536510413155,35.629649068742644,37.593036285477616,42.215734936970414,44.59654718700443,43.76777057701711,42.114796675241635,38.254090941088855,38.302172244284826,35.88746243818664,34.74653581896266,29.97522990096203,30.78935098489752,25.45855719786043,29.33727543781614,27.37898633829277,21.96164473008496,25.33468415010732,23.437009952607173,23.285651580712237,20.837660195994427,23.973938772311477,23.515837620327293,28.08237256923412,31.173116672835203,33.670393403589124,37.11927461895954,36.4280681945577,41.3554890229051,37.89440650530874,39.33373833029771,35.2421797279644,34.770573106516125,35.86283614489598,35.80488737745635,32.4276025054954,33.095825646698415,31.363183266018183,34.007940332458304,29.157058221751505,31.15529813698473,30.66022091789372,30.45240006717347,30.38615779012378,30.308483314409067,32.363991734041775,34.04512439999481,31.618851184537224,35.29483410017555,35.17560386246229,36.40670504683081,40.16792813955859,40.93241673922884,37.010738424497106,37.404658238917484,41.70512464393771,39.524911182627264,35.05304706387583,39.729326189226974,43.79189685563733,38.90207141669669,39.2375118141397,43.240604193645524,42.361743337828386,38.99404043620161,41.87021874836284,39.56724019228181,45.643881105150484,41.30690494536497,42.325421257288944,46.455292297325805,49.02585028747123,53.48013699067722,53.442788324090735,55.149986835828614,52.15851587488887,53.59693960394159,50.752604851101,52.932696976486426,52.229930542865475,46.119142796065404,47.56597129244107,49.35695043954392,45.43587024901128,42.81575187156699,43.808827199923456,43.334021637473654,40.248767269248376,37.37242936714864,38.15775469060525,40.443688922073164,44.153938637747494,46.03408663246937,48.4866170224384,52.54981997761137,49.73459480522488,45.754383407876496,49.818445431549044,50.923067675914766,46.01288298767336,45.65738505524684,49.39497729023312,48.299669745695425,45.20616697845026,49.59179643025554,51.23531647477314,47.563535058462676,48.134864169361705,51.65950266896116,49.39958131150752,51.06158772424181,48.84868579977143,51.27861980126558,50.84294385571355,45.24452709297961,46.667501944380945,47.92700829440143,45.330096710069164,41.96477485338949,46.40344157620884,45.6545639940894,40.36908113792086,40.36501072809096,44.520390460463496,42.79068415246904,39.005265816059925,35.807296692924176,37.53690404954605,34.296844007335125,38.440317698828956,34.25096188446948,35.47360131527832,33.884016322982305,30.882850143896857,30.333797979925162,30.53805008515945,30.155178384613215,33.718255488083585,30.715243481769647,32.655113725765,29.611124162436806,33.2487734155804,37.40898594383735,40.83796721180941,40.62207418956695,36.03699156513732,38.79547428584227,41.737293648310676,37.61368475807273,36.13152807229708,40.363404499857815,43.84993382058406,45.54884395458059,46.17631952052209,46.15619332908884],[38.769166056134296,35.8125556279555,33.84873974428503,29.36927304259163,28.116584123445136,32.66194636449822,31.58751225634351,35.724261819381624,35.25515435303925,32.85557076877925,35.73535600357422,39.41779103969635,35.065459089916985,32.96154936142069,37.10859554942193,37.50629086127085,32.82417143785813,34.48973703904177,32.228364701225644,34.0079642808475,34.35696772338181,36.670436213091804,34.67904703587893,31.553333389868868,30.43415793908359,29.15544558042977,29.5845770940438,29.571682664780955,33.73281211220692,36.7461588756855,40.595484172197104,41.98143574342323,46.161216824095845,47.20555484512945,43.764693150543124,39.772741456918624,40.215684007217746,35.986242466090104,33.470477684731264,36.68519859655905,31.43853576526692,33.94648553817908,36.90575433358595,33.64338635483385,33.42547547074292,30.313426913189424,33.4115168533811,34.82928062384348,30.117340558640805,31.61501200521125,36.403767178782125,37.150140871724254,40.42557819817165,37.99282800724189,43.61528702747151,44.69596427762681,40.82865372470997,42.92190118010054,47.023550586299024,44.835723563632286,42.05411455647976,45.557963725164036,45.97709740929873,45.26905799147391,41.718228985516234,40.362815399680784,38.029304184053906,38.21308705235455,35.28691648613929,36.83523133571609,34.83606353225344,37.08664416500008,39.75774711679773,39.92915693950365,41.60584817664675,46.89983333641441,44.233583453853065,48.613020493960555,46.35818925473415,45.236648089799054,45.41820898835528,42.80105830263148,43.61860156551509,41.55045355969287,37.4192531082855,38.843877320733924,39.41474551416904,43.59563688631424,41.56363575797617,47.25683291843818,44.968748771243924,48.05514025217599,46.65082616396772,46.75120013557857,43.042196787514975,44.949335895511446,41.47924646890478,44.1556822934997,43.12848544589142,46.96625252706632,44.58700814903514,44.77339056284803,42.74694080011906,41.82806070878336,40.84026409086083,38.16609312327055,40.53236981611787,37.76286666976095,36.32169170446403,37.986180676225665,34.867976108162644,32.46868053463514,31.84229782469415,28.237806275457693,28.715221669595326,25.06574343807966,26.583914246474425,22.856503061822742,26.737662404766432,29.66838944283957,27.39597738966295,27.686847735520313,23.214858969164673,24.620589265567382,26.942606788538036,25.173878557059187,29.347453492564572,28.78208854900141,30.977909775286193,33.540226552632646,31.088925868420784,34.817380665256124,32.18526607780693,35.431249860286094,29.569343537966414,27.69731149530998,24.837635365586813,22.51658036618679,20.068698542121144,22.08342474056012,18.230790717042733,20.4600610832879,23.91677543638434,24.420026143075685,27.581928440543052,30.403928715965787,28.411041598894318,31.656295471143313,33.23030190372833,34.34754012012652,37.54374425792462,39.87616741321022,44.30763645400458,46.89935797389691,46.393958526172064,44.630591145149396,40.87183964875432,40.488148443490864,38.40182174623211,36.59067378257379,31.78728784390775,33.13151133293367,27.511740762330017,31.307303012361075,28.622574011607444,22.852513721944423,25.5056931847624,22.95533794230544,22.519099132273187,20.810315644309085,24.11085371914086,24.459869549245212,29.216852415702604,32.602802660046265,35.47285798738386,38.9437994519779,38.786115828486906,43.48476415462589,39.849276633875945,40.93882643227434,36.54633469536926,35.91963137625332,36.4494348766078,36.093252204558055,32.9306479303604,34.099787220088345,32.95162259679959,35.23296774779565,30.1672012104999,31.572558469447728,30.5200584220009,30.58027784404594,29.901004020455467,29.750290870251703,31.56669354175016,32.89101698242488,30.690275557757232,34.314192084959494,34.154541739223134,35.97723969079239,39.395478737453786,40.68580835848931,36.90225511004968,36.69771490320935,41.102609528969836,39.39244159520047,34.53911590078879,38.97624256223503,43.479326198286984,38.80420325802298,38.75434699596783,42.766849326647446,42.397541784963494,38.90109105969722,41.289669314320584,38.71343294998749,44.75103207933594,39.7056781715111,41.004774667428556,45.193865303460505,47.412900120047176,52.05024736874315,51.70275933327299,53.648624678156736,50.7648773062854,52.320157508612084,49.77895611310789,51.62159226582113,50.646050958324395,44.75054776076764,46.29681861684636,47.58570392676754,43.580157984845066,41.24699050672747,42.134508320304285,41.12986285917152,38.173398543349506,35.71667816394311,36.79205184601649,39.64400014916744,43.256857527368894,45.29235859615779,48.09044938112945,52.2273078993249,49.791509843071445,45.57729368533367,49.57178406308433,51.09451996593147,46.32141535272587,45.60649134122882,49.54280604832417,48.709082208148544,45.36801440823656,49.46229178851998,51.374199308810155,47.870020605404925,47.95398760989592,51.30907566770604,48.81027833027637,50.41661753955856,48.2789252292294,50.357106590563106,49.79499702773412,44.36135848810611,45.57155384929495,46.4766952990308,43.927531485680696,40.57754673173365,44.6071832207611,43.63802917416817,38.550996217796275,38.43321602344271,42.19286494040805,40.34061552846341,36.695333348725626,33.83073533291413,34.96979500624916,31.99192251777887,36.474942721026245,32.74681536541379,34.33327999519917,33.37130399811667,29.946715286702393,29.152584217893317,28.765163772038477,28.53557993865065,32.42096922838848,30.163100376045605,32.24709452313431,29.86079970069747,33.51933929878868,37.972853763136776,41.31263762886297,41.640369865849586,36.94126379329785,39.36106488103751,42.670038686529026,39.0015600871356,37.08669925924389,41.03346902877785,44.7756226580881,46.3441835547445,46.79923611763271,46.65972267925933],[41.737091633241704,38.866490975296266,37.10690063582278,32.64019225181118,31.69764475529187,36.30364989928132,35.39239133691135,39.59431123137095,39.05862976315837,36.70243159207517,39.53215085061536,43.28042329250999,38.98244760726469,36.74441231864874,40.8789144676656,41.35571429858899,36.66064673911932,38.181902901177516,35.68220780355583,37.53597356258184,37.624216254876885,39.84482279635068,37.657551660565716,34.37669999881462,33.59895477715015,32.472024260942064,33.15595734668272,33.32253369234524,37.52985774948874,40.639608342482965,44.33627645094352,45.879362648122914,50.01773295659578,50.96572756456553,47.56893138821573,43.52040820112616,44.085436143120425,39.712239068249026,37.16472835497407,40.201613301077714,34.871184053203216,37.35668246463634,40.15763317334027,36.74974033942214,36.21789065234384,32.93900846413527,35.834565334946134,37.60021211437463,33.04755192482143,34.26769381071034,39.20101578480009,40.128896702294504,43.43696825560561,41.272686188044005,46.849375144125794,47.71140892802447,43.8905039574766,46.24288974043243,50.20740678554625,47.76164282823718,45.14778031332531,48.72865500122273,49.302051039538576,48.32487155560875,44.785367705546186,43.68999926788147,41.27268467267643,41.6741803438469,38.62421171392085,40.30347512669936,38.17146854280541,40.215569862541535,43.055152337676844,43.119935698935116,45.050496564282746,50.237385935006714,47.66728604319062,52.1139388877019,49.90252365255368,48.71010753007592,49.06418453712967,46.4113834354893,47.39278057914833,45.220211712154835,41.09563777049807,42.61962298001336,43.06975415328816,47.37051056226983,45.20062236014406,50.933239334943956,48.58379133974038,51.5563554261711,50.24025949701402,50.45505487800678,46.798222007915044,48.63750615205511,45.19160769758487,48.017134208558055,47.04156112497813,50.91345824556449,48.565402231672685,48.78157294872923,46.73792903081099,45.812366195275324,44.725934067943214,42.066648184549614,44.32228196650647,41.44640271284804,40.014560355542066,41.81545039257949,38.70365197367839,36.41695107069466,35.801696280969516,32.23639411016546,32.678246745448305,29.021075351667324,30.437949654448893,26.63218266866313,30.2003672792778,33.31921540810582,31.02704115183391,31.440711992090684,27.02158637613151,28.51351957581736,30.826093057963178,29.132662941582385,33.172093844787334,32.66189462350637,34.75512447967027,37.32334161312603,34.655080012338075,38.28780316585655,35.636159086282234,39.0656533753194,33.22252502957469,31.536650057856058,28.511864556876713,26.416279711615697,24.060132641363058,26.0496694398398,22.076020806200628,23.983250181510005,27.564227377553262,28.25695445887087,31.341177797589566,34.277733755406246,32.357478148789745,35.647876055474455,37.239413210385536,38.33425454867037,41.507398177792204,43.800908803516215,48.245498488662335,50.745163223125246,50.30209214024138,48.60215580929798,44.853503973527715,44.48885764008346,42.40648024479532,40.58110424125414,35.74943794670702,37.04706588337623,31.380558523138433,35.061077530525296,32.26487815921447,26.44832439542192,28.93177775344356,26.0597672365487,25.743510731470902,24.384872283493305,27.723460936864743,28.2739718603405,32.98577969316719,36.40712164250204,39.33126639524467,42.85160147275806,42.73760195731777,47.39226916404556,43.66779618142446,44.743015796031344,40.231297560470175,39.74073868345174,40.04109697050808,39.50206197473833,36.41879278968251,37.504321570131545,36.424656515890135,38.42114943279389,33.116777000180775,34.53901752895127,33.34331100716753,33.73787053448477,32.975075534311394,32.952255964999246,34.71486546574567,35.92085721639984,33.91880291144839,37.501169294165926,37.313420463238444,39.39303055471575,42.61504972681599,44.1134654368967,40.38416901837122,39.88353648732438,44.2948937921596,42.73599986049907,37.67199601357745,41.97241422375779,46.649613129928866,41.95587810482458,41.67370441659087,45.66127583573103,45.46557774438466,41.798499559585636,43.92442309226495,41.30892449670777,47.3410939198873,41.97854820458202,43.57612658162446,47.767861907047156,49.87323537154359,54.5636241058923,54.15739991601266,56.29563810812209,53.53663198338645,55.20378618857828,52.86036588127794,54.53070388384063,53.37012350167069,47.627317676445706,49.257375091448246,50.235239424422055,46.17959534095478,44.05785535877435,44.876976423135915,43.51406323849009,40.65668499360487,38.51747512656487,39.73908865819887,42.88924462355641,46.43650474200893,48.5178887405338,51.473897545583185,55.61243058185071,53.34329847976127,49.04105879414902,52.94722783648502,54.63072126550585,49.91185008197327,49.015980889755845,52.970712833573096,52.19302701675122,48.73192403242078,52.70466366854649,54.66059912544725,51.137244686734775,51.037514978025264,54.34199552039759,51.78671041885539,53.46267040997305,51.44553732298472,53.370573110384576,52.64324747830578,47.31704601384103,48.51848723106836,49.16628327357092,46.59428677436502,43.367447240088914,47.15671081846004,45.941018129675655,41.0076482647026,40.941206024155356,44.37339814236962,42.3289663599634,38.80184667459428,36.10627155852477,36.73679289786632,33.82552690631901,38.450545702363705,35.02147750396184,36.977823230799885,36.25090388550631,32.52650464719809,31.816707672434685,31.150733214614338,31.194392059263226,35.28384932660729,33.43896697281917,35.6578990594632,33.49370933219083,37.04569763430426,41.640494644932595,44.90713879826451,45.38652796693564,40.624865816680746,42.847106717305444,46.23799165560886,42.69475786476189,40.53470952223738,44.369499346326336,48.12817988481837,49.61615673544659,49.9642585306148,49.69480967759111],[39.292482391109516,36.38489926239175,34.64298940113164,30.386560578432068,29.621410814649362,34.553260527671824,34.00870705577118,38.34222178162676,38.088442168955545,36.132663184642745,39.17248424904274,42.795958035800375,38.710444359504436,36.66418484428366,41.046261045938394,41.490376697305976,36.916947212205706,38.8645385401214,36.83784280676081,38.58132292830721,39.061386282198484,41.329409467744405,39.3742431366032,36.237471155253814,35.07678660574047,33.84397518154119,34.08813117443875,33.92985192339568,38.00724791012396,40.80370092915211,44.8622443209696,45.986807750050396,50.238720976050864,51.50134949365767,48.00531268818668,44.11004053942599,44.30320660312035,40.2773348427936,37.69714707121878,40.754875386586036,35.69631305724277,38.4499619771638,41.35892976661293,38.049952680302006,37.89100545913624,34.69669579142028,37.65936272914495,39.07608440075649,34.30981835437174,35.44632014758551,40.31777463336897,40.93339922668972,44.42474806076399,42.080448981433,47.6473767460038,48.888416788551574,45.16704337491812,47.272505226520046,51.38906354866789,49.251699064227466,46.61444245639207,50.19598875875291,50.614401089651366,50.0056313265565,46.41984832412021,44.997306892492226,42.75177252935755,42.8219133986894,39.90003127599267,41.27626175973151,39.28471646911365,41.53223140727736,44.26720963049206,44.59853417237953,46.18489540230372,51.567185254067645,48.85870614918189,53.18913683806619,50.86669581010253,49.70383202173898,49.691873441629795,46.92283174934134,47.51241707878252,45.298121184063476,41.29117755575215,42.85774809095253,43.70055750329278,47.77591047850794,46.00345085310778,51.67073673902903,49.44966657858685,52.603401156664674,51.07771396934539,51.01865084946854,47.16938351823362,49.01148658957192,45.39119784692287,48.02641763941903,46.76496798072803,50.333016696074836,48.239889363401616,48.02681797193953,46.29897448067797,44.92911644425536,43.8341528604517,40.882573558805674,42.88140637568034,39.82839482930434,38.179662560461104,40.22445364208971,37.04669262858829,35.18807893929488,34.68272719776125,31.38031816368426,32.2989088077323,28.823936222225242,30.72237791951776,27.18048036175568,31.339372754009755,34.052257356208365,31.662377368797433,31.654513569195686,27.026406830339106,28.066312153771058,29.944153023357472,28.044378585700787,31.541653244870712,31.19328551657014,33.08298053672975,35.920006198140236,32.864084627198444,36.55274809381364,34.20361200283132,37.84878185952844,31.99015560031985,30.38211241630781,26.818690506903266,25.273791950893038,23.27361725296394,25.705749533718777,22.396409088046568,24.83899921158749,28.33774515754758,28.566308845453722,31.74932535139685,34.49112823951154,32.316517071390386,35.32590672523354,36.56375951884467,37.49233646675435,40.35304385610528,42.72674433989885,47.05372038651243,49.52777358910579,49.40746843942349,47.770231204494706,44.17137343809623,43.60172967691064,41.88844146926116,39.73366390792546,35.13984881484625,36.9398959979875,31.299833513981184,35.141616970050954,32.10223279023609,26.236659083502715,28.316542991223496,25.45622935844078,24.566575871093647,23.3901416798126,26.665927091076778,27.536116863322448,32.439438500858024,35.97182329252346,39.016041250310316,42.37518028664713,42.47827122697488,47.10583773294739,43.51958065901088,44.359004615773195,39.91735277100943,38.938433876525835,39.24865819339307,38.79770155186482,35.83193557631365,37.49067202884278,36.73641150696588,38.87650441807393,33.79869883147498,34.743674299469916,33.28754581269986,33.429118564130576,32.19203436812718,31.81932437548029,33.30076306667688,34.14621702419588,31.948488684412414,35.34632530810235,34.8789328882345,37.15806541543835,40.09284421474075,41.75401565533612,38.07890539487415,37.220242292833404,41.60808988922242,40.19612983049172,34.92367244627721,39.079444616832255,43.90968177256896,39.26144822574216,38.76598964177898,42.7230623577167,42.747733861396725,39.00340796743387,40.8802647940783,38.189466126401186,44.181740343015406,38.61694655975167,40.36847224095111,44.552947714862164,46.606708005264046,51.30879728876686,50.9303986241357,53.19596351328224,50.561488956606624,52.37377832096816,50.224317890190775,51.876385555465276,50.509011699186914,44.84524879531523,46.677961476274284,47.51918222198508,43.3444556349772,41.40943508155462,42.4047714636319,40.747622994488985,37.786529167361,36.06957428323078,37.105145649336784,40.64607296622015,44.101865822958864,46.044187983943885,49.194502661586995,53.25172385677103,51.20906527603285,46.76980762829533,50.47487296659687,52.35301699345396,47.71841924869964,46.54797531717347,50.50984129779389,49.82349791759716,46.21490125796553,50.0267284809519,52.05348787951388,48.57357530486665,48.240165007514236,51.471615664558676,48.855896259868274,50.589128410946294,48.70912944448466,50.5251883656811,49.621042351348066,44.383704745793146,45.64185962543595,46.08400981451169,43.46613259838805,40.382706824587885,44.08296071566831,42.66261106689564,37.79352976056347,37.88046550537687,41.163719664030324,38.950102097615265,35.44736721945754,32.77498512519362,33.21701870588695,30.302054627504848,34.97134810883765,31.703032579508836,33.846561797257394,33.357043869267926,29.448983123041042,28.724804903784484,27.879512498954096,28.11873666293253,32.34891463959573,30.880366624440395,33.32595363357996,31.434523260407374,34.78024213119787,39.58658759709051,42.713525027754066,43.497737218131284,38.645495766536186,40.5581113589171,44.112723065354984,40.88146219953237,38.38216676626331,42.01090294680498,45.87201143776907,47.267154383829144,47.522561894721704,47.196579708074644],[39.62070416251837,36.966653212406776,35.759192300336956,31.377129429687088,31.39243364941217,36.055030530181895,35.839658636281904,40.30850350724988,39.81344711433894,38.09136726878705,41.06375179944129,44.80081308241727,41.06397863014935,38.70998850736851,43.256781363916716,43.97125552890872,39.52553212994891,41.59634042101601,39.64067135095583,41.70852425785116,42.232500995100615,44.737457984625806,42.74253657882714,39.64769387259488,38.53220401656978,37.03920191863154,37.40730215937797,37.00418815260914,40.97969199264815,43.68647908940742,47.48996040520771,48.73741955274444,52.92443852610202,54.348645164041,51.00257950522701,47.15464731804193,47.43502611967299,43.6242765174645,41.20641325911953,44.547840929369066,39.455513597995186,41.97498011463662,45.04041077748177,41.82749899865982,41.62958698579383,38.483097235480294,41.509601265131316,42.98967275535366,38.2543919507757,39.540399164686725,44.38868794275939,45.02501245675516,48.44365424760281,45.99793209811688,51.59671384180898,52.82185427674329,49.00186139500752,51.005194065790036,55.16286177967831,53.03544153524708,50.215182187630724,53.63239297854352,53.90851337347719,53.228623993471885,49.763346557999405,48.31416680550634,45.7267788438591,45.687700095859036,42.45920884191265,43.63901151865281,41.48127624750408,43.51256104663226,46.52071929837879,47.11473416649749,48.849188750791036,54.384098799665864,51.93694015269486,56.26983389791732,54.13224451172798,53.17981952138176,53.1806347666769,50.58737040089176,51.064088451059995,49.03581774893606,45.00564100582454,46.36688554584929,47.185085146453915,51.11458934097349,49.2311473636683,54.75475547208564,52.33833767022712,55.32731854041451,53.65255485831639,53.533422831038806,49.57643230921351,51.17071728069199,47.43977145726945,50.39121418644092,49.07246715317982,52.58862943514743,50.90281165193396,50.7119453017394,49.29087324476415,47.87512295289262,47.11407424445053,43.925201823459695,45.93225421055044,42.884987698343956,40.92009493478191,42.96189874011086,39.52672448056477,37.92978951450794,37.09882928811041,34.040018876762645,34.82120741797867,31.477752638291836,33.49251107856346,30.06297151378304,34.11671832195333,36.670273785780616,34.030998013861186,33.897828587070386,29.272668169581504,30.290873059654377,32.0063074555457,30.551157576440513,33.77097573802227,33.88180754401847,35.85744542808784,39.03705809864814,35.90566987209079,39.74345611132059,37.66636043514697,41.302694999845514,35.42972931185561,33.61965871351443,29.82293349179091,28.386370884942853,26.300985708073608,28.966367038487107,25.75614094279235,28.454121334811976,31.720702735341533,31.895827091675855,35.219174601081335,37.697376956318585,35.40372591124534,38.21856294319757,39.40580154000524,39.961347945813706,42.780510489603124,44.83771988858598,49.2417921640172,51.31427405302998,51.41145586803133,50.076319611083875,46.58383459818557,46.19848948486506,44.65539117368484,42.68566935709441,38.346779363184204,40.24796344830939,34.767745331966466,38.7805526950763,35.90449525119619,30.0924237536685,32.20038438126187,29.464915029765784,28.328356209170778,27.06199893460829,30.264907674866343,31.054078954782362,36.0551598834262,39.55257100126498,42.507442827942434,45.74093561970264,45.67254953539652,50.4573283183486,47.06642719568812,47.92910218593452,43.65463870327767,42.387100522301324,42.947083181570754,42.64095486320366,39.673980746395216,41.466239097115924,40.64475074159728,42.93516732205032,37.918370014058574,38.89239437302385,37.44003721754379,37.47588106813022,36.13464287706437,35.58148588301675,36.91575379555401,37.53662393101961,35.09535253338798,38.29885448258159,37.45669649483661,39.75151772078435,42.408464258163406,44.03025322274559,40.32574833909941,39.183979036656325,43.46144518680307,41.9399580126287,36.43284014705555,40.481336879161525,45.32132371388079,40.42113380199493,39.688257066462235,43.573238061678694,43.59749373793739,39.581321740088946,41.25249975547373,38.70808548235165,44.71731296209434,39.18708887084076,41.31967683354605,45.44508807731343,47.68590773219022,52.279253854416254,52.23408340287713,54.71594042975985,52.323322644613484,54.39215640686585,52.46424492861534,54.22448635846767,52.58913329325525,46.994481042312735,49.13717137103883,49.9002439907788,45.56041408499547,43.85964541557316,45.1240045175452,43.13332233478284,40.00695741691311,38.834781120132405,39.511044529649986,43.42092984781689,46.79062830971436,48.44559082278296,51.73843927881302,55.62152488890095,53.71776434554522,49.18482267285228,52.56636109235809,54.50798194779659,49.89666774215868,48.45028125135075,52.242721422137585,51.472468295646976,47.72150022944383,51.462896484442865,53.35686884619426,49.69357768573034,49.28897776331465,52.54829344317036,50.028098671190456,52.036273798266706,50.45416416718398,52.29432866442728,51.01114309511169,45.85310155632171,47.44419538192958,47.60592406619197,44.81176970584092,42.100248420186084,45.809326923600004,43.96121996581046,39.16207801192936,39.69421066454417,42.75170857613166,40.12911047045047,36.65930667348318,33.848700132579324,33.95674298178667,30.77674496074634,35.32005360624447,32.16686332820288,34.758861522140265,34.22363990886294,30.029730443494913,29.726809788975707,28.915325968302866,29.68084512717702,34.0790756406316,32.88037119929474,35.71072127998568,33.77400850000131,36.69126451614421,41.73624678169699,44.675977593466094,45.53217417805252,40.541660025398485,42.08994572722242,45.620975166662156,42.51510793578782,39.59039479665007,43.0845250891636,46.84900510241098,48.13804996367593,48.28424030022932,47.79415222404694],[36.35057734399547,33.90745440099817,33.14940237391499,28.631806672930814,29.34148234890451,33.641834040245314,33.73867493458517,38.299748888806185,37.63406820416754,36.24430823070579,39.197916333888905,42.95282816654913,39.64854756022278,37.11907683087042,41.87387480450836,42.81571339317807,38.60255806208388,41.00230562036717,39.45180665080073,41.772099114872816,42.6369090351506,45.46562352087703,43.65628896263577,40.79183274327669,39.38554576396095,37.48079018281297,37.68309940207167,36.79547192682096,40.534897858166765,42.96298468579852,46.64339216899198,47.801415573492015,51.94053456952226,53.68312484137104,50.473913790048464,46.79052493970853,46.99156836591618,43.65192963731208,41.4651601939061,45.24662409374183,40.28767318148629,42.58724628979,45.949556145826534,43.01203866127542,43.10081986140264,40.18357145709867,43.437734579914355,44.62524984768781,39.792481251172624,41.448740599610744,46.106757698679715,46.55881473980604,49.87410585846607,47.07022196668764,52.70574534353747,54.159421546940756,50.22738521576104,51.83607887551112,56.160821245737225,54.33586499254576,51.17832040938441,54.3234883478282,54.27590160086414,53.82648506776779,50.49926359268573,48.746576676872465,45.90764455116423,45.494074102969186,42.08962478564523,42.859297543723095,40.68293755732864,42.674178759348116,45.790217048939915,46.82096965158032,48.41343032398967,54.210160541689476,51.9600237578102,56.18447641348845,54.20952737928224,53.567716262586956,53.36685438964075,51.0027082698815,51.13771525306496,49.42355841930284,45.413337636797635,46.44976451995541,47.40727212512334,50.99333656117457,49.19262252164481,54.465461892791424,51.92429915681285,54.843626611213914,52.893542705692454,52.55246060561729,48.417649856840136,49.77998897362538,45.89313829783617,49.01398733526275,47.538494045049845,50.88756529975788,49.69863040806673,49.435755538330504,48.44814605662672,46.923636443872454,46.646971438110725,43.14738638606894,45.218525574270515,42.27324499688233,39.90930662092569,41.838461283593624,38.104269432749874,36.797570114449776,35.59674986754025,32.88106883478039,33.61816288891554,30.532530607650123,32.83818499439453,29.73250728828154,33.97150004505378,36.058036870113945,33.17038753536407,32.6929398345012,28.062421068968032,28.853028647468946,30.255917277356914,29.247680498627595,32.1085150691013,32.749721864898405,34.868967034909026,38.46160669302586,35.41255359885152,39.49624705317062,37.807246221517595,41.265990918899305,35.409245210905766,33.232366757427194,29.26227593201243,27.883283577835723,25.743919830606945,28.74050573602295,25.976455104119395,29.243804644926776,32.070468603159846,31.932409425339156,35.438148312870034,37.44495711019121,34.936252559187324,37.389925388704384,38.42084045728345,38.52018464058812,41.23205752230482,42.9507536847558,47.390196786337725,49.065355858342144,49.40801922211153,48.38352838712997,45.054423993753375,44.83486474797051,43.56316185603994,41.783161291190666,37.85383005352676,39.98162572765088,34.804463324790795,39.08260205678764,36.47835574648522,30.84413184347805,33.01905289511864,30.725172866310885,29.13887859179863,27.5306646986341,30.555545820881754,31.127778016024457,36.241472775019474,39.64571292873694,42.43976612687958,45.42796010754364,45.159102426059796,50.12175703593948,47.0836580383858,47.94199181608965,44.01146832274905,42.225911777778435,43.27790632829901,43.31752933918419,40.317387193804834,42.403056727687826,41.50698068178638,44.21114396415733,39.54171993644517,40.453496993385336,39.10320911456081,38.697808925145516,37.25987649439491,36.347701136075884,37.51888161018876,37.94927634460307,35.027790928607885,38.00592551269739,36.723237521688674,38.79275130145509,41.276667155741286,42.65126963529256,38.87572328301552,37.658117360731445,41.78589532373631,39.992381383327945,34.40459244463861,38.45076072802019,43.12948465814196,37.9485804043682,37.15267441300945,40.97901488639705,40.83502267125988,36.656397772893605,38.34791503107376,36.01448924393943,42.063648702527416,36.91060234890092,39.18278043800095,43.23876986163441,45.832031111861895,50.240833971133014,50.65964956559476,53.19209603302047,50.957361455280605,53.21747391091881,51.356947180615244,53.42392034624335,51.65888751658785,45.99237438998846,48.425160631962484,49.41547985164262,44.931075905365844,43.29724370420883,44.959926484828294,42.94066577560532,39.51033898089785,38.68003055286836,38.76459921737607,42.831894643125366,46.147795655884444,47.399849772606494,50.708705617019135,54.36771540328615,52.48426085890574,47.92875765674839,50.989736442582505,52.85642404446449,48.23672267148907,46.62044479117836,50.186633470141835,49.26897950427741,45.46124476426485,49.22716286047278,50.92158920319711,47.06417344892276,46.74736288857497,50.08980081885393,47.7396635490896,50.00667073609094,48.66342845240311,50.68544304956185,49.116675516394814,43.943560741079075,45.9472948657903,46.038415841077175,43.05451408371888,40.66593057054249,44.639959165963674,42.54405359862409,37.657207589209094,38.67744295007049,41.82023434195067,38.91922118979336,35.35120979440489,32.175369175219785,32.46003777717445,28.864507258464936,33.100457163390516,29.734829809484037,32.486429180067745,31.655669670438975,27.40477554495945,27.537468882181585,27.064524879259015,28.19652077900697,32.59070118721423,31.335668932446477,34.51434924176943,32.35572480005778,34.81030505139808,40.01108274262272,42.76982807679838,43.59976078962648,38.51056589841739,39.76848803875021,43.2023340183586,40.17488307342746,36.937149634420535,40.35162142443428,43.99415234602335,45.232645892610016,45.35340116370108,44.802177292498875],[38.49842434386615,36.134696909907206,35.52584805287195,31.342993888641644,32.28591071313663,36.83749863232345,37.254521554828145,41.86141624798278,41.391993466143624,40.24990611066372,43.27868163684134,46.954499276335426,43.75772856740551,41.32958124879325,46.145252187198665,47.05735963865599,42.87632918245397,45.34918471565383,43.82759693583258,46.05423185280643,46.89656174810301,49.60906336433155,47.76220697227555,44.816319392622674,43.47368534930597,41.71678769015258,41.864483706196914,41.036752159293066,44.78269999262653,47.14228146762951,50.970946132113475,51.98133432416009,56.163901706971544,57.968487820053866,54.698151258027835,51.04093464232239,51.10500686515596,47.77383401681078,45.4859674534368,49.04610359533588,44.161989642881444,46.67118261097877,49.921587021592174,46.871942389971494,46.90759846539506,43.86653815543072,46.98116546934887,48.26131229298344,43.417841110540266,44.75944773309673,49.522067946185345,49.949404275387884,53.426241452009506,50.77707412425079,56.36815017730985,57.859078779396626,54.04470936621403,55.77372170973744,60.064305636703466,58.18377714762352,55.204824166838044,58.475047839255055,58.51439970449583,58.059169870984896,54.6709739882907,52.96286698424714,50.24073243814337,49.863701200024416,46.51013621466138,47.28424617041235,45.121002188725015,47.10514504590438,50.23014848075507,51.243783312072104,52.82290229013344,58.60198819358444,56.28036593968802,60.50228410976524,58.4455111490463,57.6974860947177,57.4280300386936,54.9091389230255,54.985902894920635,53.09891957194549,49.16924276198859,50.3805457316946,51.469788972710994,55.07675044387118,53.41871927241174,58.734773688894826,56.267553198906405,59.23966459374869,57.282207962727924,56.89368608955967,52.723821124712686,54.08784575267733,50.15838365479755,53.20129027411755,51.612840638988544,54.79179848285003,53.69907126406096,53.1793952064949,52.30288097675224,50.50412246823413,50.041808029409715,46.44886599494773,48.227447334393254,45.085707033102636,42.68644458268256,44.89260312305025,41.22819185355798,40.25156016156617,39.23715862646206,36.67270848005754,37.69169786729566,34.67413348805225,37.0991059883443,34.017889260402725,38.3400671876285,40.43311926713517,37.563750530266994,37.0119472732438,32.34636684948478,32.97053784786261,34.150894143104686,32.96160943654303,35.40017784302211,36.054795489239524,37.893710082006876,41.53034508807008,38.0851731489539,42.0247176401182,40.467787458613664,44.203833658748415,38.408235249004,36.52381493623278,32.21041048198779,31.335150724852543,29.512829571658685,32.60516748396724,30.00954646602614,33.19076111856471,36.18439410873151,35.99192897821694,39.44507970518932,41.53627745819215,38.991243341173536,41.383041233076746,42.230386720975964,42.31559459751257,44.792805802830735,46.59541455008645,50.91105411207346,52.55960675665423,53.13328210959364,52.14444439674903,48.91610237293884,48.53315072939404,47.46105150147541,45.41782666332529,41.55313857469592,43.89565566470836,38.64479475723005,42.858934639467044,39.97391254497438,34.26282218736044,36.07053966216416,33.49845153890391,31.787440511589956,30.613225999621807,33.6252596551324,34.562966972138156,39.68912930904886,43.18877848848166,46.12266352307952,49.08705447256761,49.04133354205507,53.89347232889126,50.809718029224804,51.50128612903612,47.46564327241178,45.5917538302347,46.36807492192919,46.258138667668426,43.41425395683061,45.72243932531046,45.09098395055795,47.58983970999943,42.82110363324178,43.47354532647403,41.85432294639957,41.61863928232102,39.86672351824697,38.9108621770617,39.88117207455403,40.01242406487005,37.24703272173384,40.05047883370831,38.64114282572988,41.069279324014204,43.16272540842227,44.85765097036165,41.24116117654964,39.53469980585489,43.59678446450491,42.12590454311229,36.31791791199021,40.03208520020561,44.93287812836379,39.90867448877867,38.74600171327756,42.45294244169586,42.68395763873614,38.3862440079792,39.56539116981741,37.15533043614564,43.035697257588765,37.44465097995074,40.091751124086976,44.0767119932133,46.43390814614211,50.86339050343684,51.192049584485154,53.98468500264866,51.977858681085564,54.40942035871336,52.89418966593955,54.725425478459805,52.663168826401396,47.28275245800631,49.87590009265641,50.436974734215255,45.893942974100284,44.61303691622061,46.270221690492924,43.738766795033456,40.418037444857376,40.160245587134675,40.31567889145885,44.83585563582633,47.99320315030989,49.227306737467025,52.781375820130506,56.380323726114966,54.82751875612235,50.14383049548567,52.99182925403569,55.14314341564461,50.68443738014552,48.747750016357166,52.328335455409,51.566756008132394,47.594143865399964,51.06650601347554,52.8677773422935,49.106107037660934,48.41797236157932,51.59611942918686,49.15017715108554,51.46586715124931,50.32849696842956,52.07215875826069,50.260306565358206,45.33811522071724,47.293896256585604,46.983244236704834,44.00908757334273,41.85824314081292,45.433288338818805,42.987783148111305,38.41186317935546,39.53214576478513,42.166537054195345,39.00936034837036,35.673587390563036,32.808459029730756,32.37310234648575,28.98395282604222,33.30212131224951,30.521906185079274,33.71074652798798,33.369199114970975,28.82373701651618,28.97213392124036,28.055492722753097,29.5300817208267,34.082492382229674,33.52281271591363,36.84034230910688,35.1436265921415,37.399126782793026,42.748193301697846,45.334269748637865,46.513413325621194,41.39943623693462,42.288307784150426,45.881362294700445,43.22898250910712,39.64287368275584,42.743559446727716,46.438513196667756,47.51921179577537,47.46197296825387,46.748379989171106],[39.8106956418363,37.08530660677969,35.782960969038406,31.855104266173708,31.864978911437305,37.00710102993689,37.13513792270529,41.64667249262991,41.570251090914525,40.1892033022042,43.35853221257663,46.904718908308425,43.247510030536795,41.21286623081698,45.86729950365783,46.4285776322531,42.04461011389436,44.352503423025894,42.659644526228064,44.45390264642532,45.15124663900262,47.478982783757594,45.60325406282689,42.516737851474744,41.24027566791957,39.92247860535323,39.96123845756171,39.5269410052291,43.451361419264884,45.95052413502413,50.16387813907837,51.00308154202803,55.30309410501272,56.88252648613233,53.378906288361875,49.63242933510426,49.55814110520143,45.879448553633395,43.312584945153574,46.347723823755295,41.51554354791594,44.425253331832394,47.376298321202675,44.10453927163442,44.07663376350681,40.872680179069896,43.770687272842586,45.111250923658616,40.27764553832445,41.18335503373082,46.05964877790759,46.49532049649428,50.1575018867502,47.80021922416297,53.31111868862614,54.77515556270135,51.166612632463895,53.168505368048834,57.34590809979299,55.34372692618368,52.74747624928901,56.32395538649321,56.645854394189264,56.1945791398627,52.61474756389764,51.04144350424673,48.79323660310537,48.64780533319426,45.666111150135585,46.75882371309714,44.76324921822402,46.984715526670676,49.82275538945803,50.43919059552241,51.906997251102275,57.457531181990596,54.77206644754846,59.02550115804101,56.6878248842916,55.579676792456866,55.316977040407494,52.46998710752197,52.7261367974585,50.46564295956589,46.601831302703665,48.20464953524292,49.35315120444034,53.21661071764762,51.7232912534466,57.28640748006388,55.09071209797021,58.28557284655231,56.55529853440687,56.27041965784063,52.23180028897992,53.929707466013355,50.119632740235396,52.76251932264799,51.217763748998166,54.43682055502001,52.80753525516769,52.154867269187264,50.882656026797264,49.014474467137504,47.96268269515657,44.64322298749594,46.24503399200512,42.94600494400691,40.96449182986884,43.36861318444919,40.07375049262003,38.9039412853065,38.41693712053402,35.561704061217235,36.884144660704145,33.67650802779938,35.993924879236694,32.71858581394707,37.16142389486694,39.54460219956961,36.97582010091264,36.59796096827027,31.859124255352526,32.49148349264744,33.828335551243235,31.96388443655248,34.602090760813844,34.646709096394176,36.224190561758725,39.43900289548188,35.80651170326713,39.46427284423051,37.584990027108205,41.552161323762036,35.781562047357546,34.35557877544723,30.093875183886368,29.37646496910712,27.81347094782831,30.682064336801183,27.986946357616127,30.76425151200241,34.16282504866564,34.06266535044796,37.3099905118029,39.828213008277665,37.4280427943366,40.08705881602943,40.93722728986787,41.52801281756968,43.98069968472652,46.27293705969494,50.46510590872768,52.667942430839595,53.043476311601765,51.64906717603855,48.290529659848396,47.58170497728084,46.34910805975477,43.91393176942613,39.693851812685295,41.998819377022485,36.46155907901332,40.407247193910464,37.13142343344745,31.28973608633318,32.82229645243735,29.855418201025206,28.401705426613077,27.66623439270144,30.78777461146613,32.07863607474133,37.09737208355446,40.7150971439591,43.86453879835079,47.01684466522487,47.323156055050475,51.91516350820441,48.501219787809305,49.078861130140396,44.71692480714677,43.224737748086206,43.45576418695484,43.016940498809966,40.275528056032186,42.504328139282514,42.11686390920979,44.23349199380364,39.276053134014994,39.75106425072817,37.94075373039098,38.02555197240659,36.205970373864986,35.49435159904087,36.53678270559632,36.77278236976621,34.4719988325018,37.46713034296682,36.508678718161484,39.20697951860935,41.466447711823115,43.46561063067671,39.953561479133285,38.31117698618523,42.55399134488978,41.44083981779879,35.73990609338522,39.46189293510722,44.567235148274214,39.94141478315129,38.883763930203294,42.68268804536895,43.14765940520416,39.11125200817261,40.30816115494092,37.58553327858414,43.42457234159261,37.38648522052631,39.74920771056085,43.83763310952794,45.75782695296814,50.42797896225206,50.16222439334621,52.83710441174643,50.600663286711324,52.77983925858297,51.162485021965146,52.65759109415073,50.77156101790368,45.4488196274023,47.70505365251893,48.05091745799502,43.674305605671464,42.2908290392665,43.53179398880593,41.074519979261915,38.0645175573384,37.41500091637376,38.189933682037605,42.54479386829268,45.74743173257824,47.424988855801764,50.9672296118383,54.81874630684299,53.26940656388124,48.60246838351324,51.82044445817632,54.08284771694705,49.65564793264219,47.90470002047511,51.78177071814577,51.23342978539778,47.327752580054366,50.757264398010065,52.84066477755252,49.36836707240586,48.5513700976598,51.61662704354918,48.937575242114654,50.891494216027425,49.4291829745237,50.956112947116935,49.53958924171957,44.614887048720085,46.04588696836276,45.87157526647979,43.1424563783164,40.553821990479385,43.857322416865706,41.787225714364034,37.26515047461892,37.77306124218386,40.39908833084974,37.645279673590615,34.37693590337693,31.914064702890432,31.439833542980193,28.558964168820584,33.26863510893902,30.650000823207876,33.5198647166722,33.55446542103598,29.131563140257246,28.653972514566775,27.34504491379691,28.30169050575837,32.83352997801028,32.34485012246943,35.258597107437446,33.89935672251619,36.680476610489876,41.85519992472973,44.63829285055359,45.927674644714536,40.93728820264507,42.14816237790566,45.90951986983213,43.24545494807213,40.02182852508724,43.19298692711055,47.09991267843804,48.25220243496291,48.24656001415912,47.664344066324695],[34.44781075710147,31.603651501883636,30.135686856134683,26.17073800909936,26.07323722965505,31.23862266582586,31.408592675508864,35.92831190862995,35.98554918433027,34.78990996469829,38.06641265183446,41.48861732596131,37.96918825887536,36.112412055894964,40.87627685805097,41.39551552789213,37.16272089267971,39.80849047268068,38.61196098379276,40.34364331376242,41.480422785899364,43.96780495356829,42.40644960351232,39.596058908179785,37.843644413208494,36.26621340075362,35.89263207327174,35.06267853935115,38.787273606254196,40.994026698072375,45.40764789743496,45.93354617984041,50.271872121198754,52.106233504577716,48.58644352387234,45.01121134885304,44.68535357470864,41.410313620568424,38.955810589961004,42.26393467566728,37.67834303882559,40.586821244684714,43.76827612459253,40.772577915081165,41.21129088674649,38.28089784590228,41.42133284584321,42.258677569652775,37.247224213392286,38.49729479475094,43.11965445977638,43.25014408922714,46.86102507930987,44.1093540457175,49.63446189515523,51.459459938436254,47.81851320715454,49.379471455642005,53.74813636394816,52.16869219795129,49.3257628714889,52.72668857065858,52.77120777170414,52.73946088618492,49.19992260222709,47.22540232823823,45.06139972160815,44.52181183223458,41.687172495958315,42.455410494725996,40.64994141241761,43.10349715604875,45.74206354846037,46.6324575377474,47.70692862231233,53.437852759893175,50.685534068864534,54.78441429335995,52.43087367511904,51.49021816190396,50.909010793064134,48.1509455519718,48.04167618060968,45.98036811906637,42.175386382592535,43.58531666181247,44.992727445656755,48.55139360070756,47.338667254733174,52.73999195739358,50.62546761565707,53.94684426037324,52.017084627734086,51.48916646289428,47.325708714205376,49.03248210565397,45.132952465026555,47.585123027420906,45.86989918032935,48.91049489688871,47.44902725476738,46.622264614193426,45.57841198716303,43.56215709986242,42.7512717779752,39.2445871725937,40.90821695589634,37.69860287969689,35.51315155800851,37.819876847951235,34.40039487934701,33.34358971316887,32.78519735285179,30.09967578001543,31.626845614378176,28.609560102980964,31.254623673388004,28.301940616771407,33.19482976970517,35.113052442231634,32.50658102971245,31.777359173608566,26.976578560460847,27.261755564054084,28.323845924463956,26.42148789443545,28.862094047174597,29.06618949241507,30.7209927048039,34.15657411102461,30.642890204939444,34.51970823654487,32.873440732422836,36.653295000923,30.870200038142006,29.16901375656654,24.80325569684844,24.12537529364509,22.6498067833475,25.79887699389308,23.702158348316676,27.0414175942115,30.09744870194855,29.57347058882011,32.922053315785746,35.09737937925938,32.50888627576651,34.8925483618325,35.5489773901678,35.978240692235,38.31254703046432,40.58719189292797,44.73683510875375,46.94123239343061,47.39845845455046,46.02977371406164,42.755560757014216,42.00469067574769,40.96154065484314,38.494558603582185,34.5230666506244,37.09158448142099,31.759145530278882,35.898768333075594,32.77069423418015,27.094162748299752,28.64422264976158,26.171565113281158,24.252142181380403,23.13497000070028,26.104950332386096,27.24427219826993,32.36467466831365,35.92636047536936,38.98851046960421,41.951490304466816,42.220671233612755,46.87413126980166,43.70849642776453,44.231064591656725,40.13753927915465,38.21245202065673,38.835047211996205,38.72195827613593,35.93260961969865,38.481977651885266,38.09790187051294,40.636359647121154,36.12127243577713,36.438283626790074,34.754704492332806,34.295466020714464,32.41066392553956,31.34738661853441,32.310908211537,32.51469593835531,29.756108417437673,32.69609272261599,31.536750620085698,33.951375977923874,36.336271727848214,38.07731701727354,34.46046813478503,33.023618446658546,37.269798560701894,35.92112174086473,30.30409065134665,34.225553501812534,39.183601096529316,34.45564092075273,33.60027005381218,37.47452262636929,37.73858737433423,33.79908584247555,35.30442951388343,32.611505330091944,38.56827540668874,32.90243349428128,34.972376073057376,39.10933035226155,41.29546818204586,45.911732563949755,45.84810635066673,48.32820590278794,45.970205971786434,48.10624477375943,46.280572554468165,48.08966033812424,46.349150226940495,40.769567326724314,43.071501819615584,43.855819423795175,39.43073316434341,37.82016040567369,39.321933658459876,37.226913848870296,33.92680307198877,33.07333849246995,33.4411508114142,37.63248807755749,40.90187668811158,42.385483916585656,45.81129365387242,49.60331729258857,47.90161546020256,43.271706722347716,46.4831932233304,48.59069793743957,44.088405083021506,42.42560864968098,46.255481922222536,45.6192015756304,41.77413574508586,45.355652448119955,47.369281042768435,43.852425783820266,43.22445987958839,46.39213039390463,43.78601513473446,45.75076164797221,44.213091556970994,45.97552980824114,44.64535261109022,39.53366989052237,41.121245354174114,41.21690926644747,38.41670223963491,35.74770142764795,39.47516999204019,37.596094125355734,32.767796291839495,33.39602162161976,36.50625631108708,33.85961785648796,30.327268433654055,27.455991076312486,27.71700563496623,24.51921384361479,29.098273588968738,25.94687581689017,28.484391645651268,28.203576040472026,23.97235884354459,23.473458364390797,22.536606795284516,23.333251148195405,27.7736943478993,26.869227623217565,29.858970746290115,28.26204528233671,30.98777218494919,36.16485234287959,38.96364059305458,40.17088846117796,35.16393499863193,36.442031214604455,40.16642695948233,37.45521094914767,34.30189707114502,37.558391147955234,41.486735719129356,42.71503861215056,42.81587694549977,42.36976672248645],[34.324487616367016,31.826999631350144,31.05793825117332,27.196041199056516,28.12331763738389,32.983764387350064,33.69505291279405,38.314847512851564,38.23957285697024,37.485470843623595,40.71608348402634,44.151278110807105,41.126541038180896,39.06090367164632,44.0092084362785,44.77886207040629,40.76745482167303,43.63197306719388,42.64530430695524,44.63072630180484,45.89727030337093,48.59289218973663,47.053507401816006,44.311797608689155,42.53173550747784,40.71808067828003,40.35763828182823,39.23573649107126,42.78714465861064,44.78480488141803,49.026812271811394,49.52306956385575,53.798665286672815,55.889255366524814,52.50631884745579,49.05444328737722,48.694410440472005,45.75741949654617,43.46155206209706,46.99632414216776,42.48284170077428,45.23688999331342,48.56343461275205,45.6796646787453,46.15643994713868,43.27719292850459,46.4717395033741,47.301777615654345,42.284472830132664,43.61718512975049,48.20289994691553,48.279441702914966,51.86696993336281,49.00305694640201,54.52631466025238,56.432673605811,52.74554073438989,54.15257412610256,58.58283522282882,57.09444896718078,54.09734086071006,57.34503032145487,57.21803014468904,57.22317003174197,53.78865520164806,51.713323094829754,49.294717772515995,48.567531863812235,45.503495489179805,45.99003055408486,44.08540966453629,46.37233947134648,49.21932785602114,50.433600904184004,51.53880880855878,57.44315954289229,54.9073956313336,58.95401597151353,56.74995305765677,56.01586322728973,55.338294688971466,52.72043596739364,52.38364664096699,50.49464968582191,46.73820533545522,47.964171106085175,49.45671652505439,52.785643585025454,51.60219909409362,56.814901632611615,54.56836153738332,57.77208387181321,55.63942473282607,54.961050224374524,50.656582227961025,52.10147434996597,48.063840010123364,50.73696137654868,48.87078707538941,51.69868329858593,50.77313628496836,49.80552178094489,49.207876540711005,46.995759794645494,46.521835301665305,42.71621375404055,44.248972713578894,41.02134615317349,38.45853659838283,40.82945127517465,37.18305243216592,36.610746354590496,35.775902247572695,33.50927336835109,35.03283185392182,32.27160018176324,35.11318824273914,32.38173390629684,37.2508759301951,38.89724254664088,36.065441101961866,35.10224639590984,30.347489217685602,30.457704031512684,31.16234059716643,29.698028134793947,31.540163497703748,32.292244678652935,33.898091445415695,37.70802432063513,34.03588803858142,37.98385516154897,36.76427218429282,40.55217204039268,34.872560212213926,33.058125499827504,28.398670595233334,28.059349191341116,26.668124850954054,30.053885334516806,28.232544516743957,31.816600579108318,34.63785224788182,33.97460773960086,37.42365436377964,39.282858713323556,36.54957186988177,38.617851929171856,39.08751076360912,39.06770145752721,41.18433558686005,43.12187503481778,47.23848396783147,48.97142462360558,49.80422910659439,48.7973536548898,45.74018502498386,45.10446531025913,44.39626256653599,42.02526971057583,38.45907836369864,41.24806728781038,36.14829966745852,40.42598735348166,37.40892497698515,31.855055292094704,33.28420510425007,30.945836044249667,28.721983977642612,27.639420210720168,30.43854987771003,31.580530743062003,36.73592651411056,40.24372499370234,43.221663286047395,45.973280198773665,46.15284241032161,50.89669900281229,47.99498154063973,48.45075933315888,44.57792439905916,42.244431601539425,43.08646901398999,43.129686471736605,40.422879984325775,43.23444074644908,42.89261750521578,45.56451048078232,41.171921729514544,41.38942555934824,39.641633687444234,39.051665757440794,36.95424156090052,35.64453955513853,36.34509804672656,36.17879074847077,33.185673477270576,35.75845984159497,34.09754662998125,36.576826426793424,38.44694633617158,40.20195974594212,36.66289959741924,34.740196566195955,38.75055526168581,37.392895663293885,31.514564086595623,35.11788005215441,40.08765805868493,35.180935789031935,33.91798497532418,37.61289126763064,38.01527528526922,33.76434426636294,34.81581281067061,32.29994807794434,38.15539176215175,32.473183385067976,35.09298017061877,39.08575432292917,41.429832836299845,45.87204166995961,46.21343968089796,48.99861902770671,47.022612089402955,49.50757363397556,48.06634137601964,49.9516251013954,47.81735683658397,42.451354386097556,45.169014736037134,45.76693883651169,41.16716101909793,39.95894425089748,41.80844537021269,39.21928187058718,35.76135965274093,35.765211682759045,35.647931504436905,40.35468697984398,43.421059213231565,44.50001373901065,48.13397884463997,51.64475471204353,50.238000319689384,45.501543809165156,48.2025338757789,50.46110140438909,46.09200593079004,43.99750236889181,47.58572094423324,46.91562126964557,42.87993951849934,46.233262002437,48.11154982129341,44.45284863976851,43.606197156448,46.7215339278255,44.221076682537124,46.515903039913646,45.422932494600715,47.12068284683929,45.26386674007619,40.37713153917027,42.35569992370827,41.99542148183836,39.00523707685264,36.91532647812468,40.51807299695369,38.03571316648801,33.43360843326834,34.67083684499464,37.34526814293136,34.14783113190331,30.75697486639799,27.812459351874796,27.490510520763518,24.026196958543025,28.36093211994953,25.56569271829059,28.756872395014735,28.593585952911337,23.996571079934174,24.05728345466606,23.06683812516095,24.638260878599855,29.203492717945846,28.880787395816874,32.32396438745445,30.872889766638046,32.92942956840249,38.355802641979054,40.816411052293454,42.2430043990674,37.135222771559604,37.80410989608092,41.52358734882077,39.17242083891835,35.4136392856525,38.3260597100605,42.13220811183421,43.16388620078704,43.06963296393002,42.383520632109665],[36.87578374119505,34.17603432325845,32.9700012072554,29.60948790073397,29.958202635725257,35.400637298658616,36.11101134595733,40.65750236689071,41.01656962361829,40.260346683899236,43.632199785134674,46.90364299363439,43.63075040880116,41.92949712713873,46.790955815753435,47.28426344464686,43.16484526413195,45.96593988547252,44.89894733367609,46.51032952644551,47.679686318595,50.02803244515504,48.46526413592024,45.5931621018556,43.87862046188119,42.462539892033035,41.96808737367648,41.14921208041434,44.81212971857931,46.84310388672511,51.46397203739676,51.718114605829726,56.1019810251407,58.082533875692704,54.492641742838,51.011959525192914,50.441262921741554,47.29223576448418,44.738675524503726,47.739178225868415,43.3565647214149,46.53558196252825,49.57557796736439,46.48353593055037,46.91282548174371,43.86454363894967,46.8126004747619,47.703802596158546,42.69359810592781,43.50485488138267,48.20398672036768,48.23540506050232,52.06196790010641,49.500877683260754,54.91473775917776,56.85672568309546,53.414427676535986,55.06608714753909,59.394202511562625,57.8167518447369,55.21113893122603,58.74875052482593,58.86688313683564,58.898254596525064,55.2924773892889,53.32147165899635,51.32829395308782,50.7712144806028,48.01264098906631,48.714894753259195,46.94344873770489,49.39749260681116,52.04251924376353,52.975404944569306,53.975409056381686,59.708045374583506,56.862031028343736,60.914720844300085,58.452306439179885,57.3946254781111,56.65046527058721,53.693065440887985,53.41611776830312,51.144412066456724,47.51706735876233,49.139386028248424,50.7845869786719,54.28466478401615,53.34395485123971,58.74596871078179,56.75580593767285,60.15919751866504,58.17686637477591,57.52972572231867,53.29706915955427,54.98231228004027,51.00579759030674,53.322588964792345,51.407303366577,54.12827907223491,52.88569238706242,51.62587820100236,50.83144418649562,48.36211473864707,47.323338389606754,43.6564734444283,44.82079728173674,41.34009967275386,39.07121579150814,41.79130080045995,38.49966782013385,38.04080769744095,37.74056012650674,35.3881707139053,37.32453830654874,34.49174064556063,37.330861285686915,34.498827631524975,39.50428931308117,41.34024912653473,38.735782826007096,37.84489085256282,33.03284503891807,33.04180529423663,33.707826138755856,31.635247327858615,33.30130205099083,33.599807640257474,34.78089601834168,38.28934214827974,34.19150283481607,37.79133756444559,36.46814392532759,40.61693383851153,35.04590760587248,33.80108179395915,28.952063372114786,29.127300108527937,28.173969432487475,31.445144124660953,29.71089754804909,32.96091998808945,36.14235812824636,35.48899531276325,38.742251186257626,40.93856798472571,38.28762381403372,40.48305239572051,40.812386882005846,41.1495751638269,43.06145236685387,45.41667678374152,49.32877405428219,51.45382785440475,52.30422293135456,51.02458793030435,47.95866004058878,46.962604353550866,46.293229871897395,43.447910811229974,39.7013362628127,42.62184481299769,37.301218991651254,41.326669348566,37.844093763851596,32.19543023865631,33.12275149294103,30.34536295434673,28.17778050379553,27.753471420414268,30.574779512785128,32.239597453590065,37.29106350370157,40.93201857381251,44.152352224848975,46.99805533468163,47.60092475080335,52.05715309412334,48.90668782299142,49.144401242627445,44.98881714949658,42.8453463297895,43.09068244700809,42.798762722660065,40.307011291572046,43.25326835342148,43.29664326746828,45.56039149691826,41.02159740651558,40.88691782972092,38.80590133441895,38.53124200813957,36.12875817253849,34.93237388778371,35.49953077855626,35.14697673510213,32.62208639174631,35.16518080046541,33.74162972395028,36.69735172648141,38.365742647609416,40.59908183511436,37.29104051755206,35.044032490472844,39.114440020026414,38.303366454292494,32.39291576586705,35.70428094280345,40.97425544806256,36.550529055989934,35.10228573056639,38.744499454339646,39.62161161434547,35.53663542652764,36.19908212470384,33.390984624227784,39.022913120095,32.66780278047112,35.329466725821575,39.322594125451324,41.10986748585398,45.74277015705313,45.53658968141105,48.42621825563513,46.45654049401676,48.87450412385232,47.634022478447356,49.07321823346023,46.84076734125321,41.76450801765168,44.347293741079476,44.439008688386686,39.92798510888236,38.93437858595677,40.46916299481362,37.522808323631004,34.39422582963639,34.58649537926239,34.98450976527943,39.91268411961018,42.868926290892496,44.25976822546036,48.06527516814787,51.70522337976021,50.56711952356169,45.762928314267626,48.56602288888651,51.12275985658861,46.92425234249891,44.73460581690346,48.5463212178149,48.167165999355994,44.08138846610243,47.15411722749257,49.328623648665726,45.994947496720954,44.766513950724914,47.645856819967634,44.897771829291585,46.92940090434698,45.74651641831692,47.04748931437611,45.31921969737229,40.654204450651925,42.168258467067844,41.596695254045805,38.82479862494389,36.58791210878274,39.63756258084002,37.18019841037467,32.89710451474766,33.72141224263581,35.96286804084642,32.88616046349582,29.755995696235562,27.426338165444932,26.467499797210877,23.648606630237,28.34519070819202,26.208918284591082,29.437606532919798,29.97734469215101,25.332308515861506,24.87390579049945,23.199136358073343,24.601198092884506,29.226169300082503,29.52833266837088,32.732098985000405,31.91994738348017,34.2073601916613,39.56494892953569,42.026911905194105,43.79566279091745,38.801900015166574,39.438100761006886,43.381222829417084,41.31651422919811,37.61684510187131,40.32681057143852,44.31031287933911,45.27299851456065,45.08835113993115,44.39351517441521],[35.29026815280186,32.359987429911236,30.70797439505822,27.449150861047954,27.2263611830811,32.93874955496423,33.48002638563117,37.95215167306218,38.53858286898569,37.71342366428011,41.1667394990482,44.31913352309839,40.87646687208348,39.43790762582648,44.22622454835873,44.532847860966925,40.39269983894815,43.219823255262035,42.2650356813838,43.642289674245546,44.9081814516643,47.13338634788572,45.690513121746605,42.883734124920245,41.01773702641461,39.70848052055387,39.00510898746815,38.2235663657718,41.87143410924718,43.852688412398955,48.702123871540714,48.768421992814,53.20386250722252,55.15765243117397,51.46736769720947,48.019745538879526,47.299393237368186,44.149627173402784,41.5231348155165,44.37968454649963,40.13460474003499,43.478224010881256,46.459801169830236,43.3935703408656,43.98221290405755,40.99089783079836,43.93094469523817,44.63596027531561,39.579001920588986,40.340483884390636,44.965247189387135,44.87897049248539,48.750161459036505,46.16520227747725,51.53465615333974,53.60025796616258,50.24170331031887,51.833843384741286,56.17475448718424,54.7156835653318,52.18518226954486,55.7754306098383,55.91223959776764,56.10615134121941,52.44488510764282,50.386501352784826,48.64941788122047,48.051194350153075,45.535199144135966,46.262211939676305,44.650525373610655,47.28742599879668,49.70893814360144,50.5538564478409,51.35075266776244,57.02142892558375,53.996153531088446,57.99188754266934,55.405735912391826,54.254246030021044,53.39909627904033,50.34039678350291,50.01359501079231,47.65747215269621,44.08796552253658,45.808108362632694,47.56725283888915,51.060073706006605,50.296897894638896,55.73314609894571,53.90275280821883,57.44167458008958,55.50120445705076,54.8210848242858,50.62538479169794,52.46735921027688,48.53761066291035,50.58879988463121,48.651222294774016,51.33634553063519,49.88426708950819,48.52472618933513,47.61011255637899,45.08317387359353,43.86056120217463,40.27380756305447,41.40142354379034,37.894534688545974,35.76750849156596,38.523044900089715,35.37411350855534,34.831710623293105,34.76461714193833,32.33315199582035,34.47447882236709,31.642371035318174,34.524663461091905,31.752179620032177,36.9385806662586,38.71905980783585,36.26545416885461,35.33833087026752,30.519579837700466,30.40531545206227,31.04886374018686,28.63954917508339,30.342972462347724,30.378224260722973,31.4659123010899,34.83168683970489,30.714953107451326,34.272131652423624,32.86200900750083,37.033299853156024,31.467872834919334,30.337636491279255,25.50001443671127,25.769329578833478,25.00110610389257,28.23813318302763,26.724937579726717,29.97030535853155,33.17282755429505,32.39971555679115,35.56923655820339,37.82019739026012,35.18551175525789,37.395780907933315,37.66150285843595,38.19235741298784,40.06031364628574,42.64035168370596,46.476752932504226,48.87757168475559,49.62689934559428,48.15485182615159,45.05417849343914,43.898889323514,43.20403340040526,40.18152486332938,36.360620897337455,39.341164365430835,33.99128803946057,37.94379784911657,34.354951255844256,28.74138725756945,29.536046377179627,26.78747281062465,24.547870928500284,24.190131829643846,26.989806729335967,28.76179468085111,33.77825286638898,37.43943423574911,40.713856796363714,43.57276644844232,44.3157716447587,48.66501401526228,45.45987470403963,45.63357864227565,41.43954326305208,39.324627853221365,39.473849487149735,39.161608907084876,36.69126066566742,39.71151605614477,39.85925133644293,42.116995466658636,37.69217494731769,37.41774391923596,35.316452944366105,34.958218454924584,32.512172955851135,31.291711653872717,31.878270626982044,31.592350270453515,29.098363607573802,31.74850866313321,30.497476188651024,33.450564767293606,35.314399634510636,37.56750104130711,34.25002326706516,32.181736529387116,36.368235252987006,35.608242548817216,29.820026758144614,33.26609679868206,38.55406391876652,34.28074863967759,33.027586547128436,36.76472389794034,37.62225237993611,33.739749606200405,34.617945630403256,31.674590590065534,37.35560549279868,30.995643536239296,33.31456423196611,37.39822364785473,39.10470714586325,43.841605444426165,43.42189240860521,46.126647171669944,43.94026857647012,46.18068606859177,44.740110779876424,46.17139030402499,44.138242720478786,38.92404626512644,41.32575773089183,41.554428598788725,37.106413065762986,35.9000811405846,37.32443055383579,34.6405192663136,31.52616417133683,31.329361953790485,31.889914681430568,36.61650845472259,39.655046405802985,41.210748424013,44.9332415665012,48.696942616305726,47.4468074038015,42.68025090082781,45.711117200809184,48.22116045870179,43.983926665710385,41.9738143009256,45.92072999661437,45.59297494578498,41.59365697599791,44.75073706002984,47.02555102446922,43.80976940667878,42.651932172446905,45.540591749878075,42.71706144412656,44.555588989019,43.135274846213434,44.46500321839383,43.02122696727828,38.23064759081658,39.53585833046593,39.21666225676036,36.54150045662236,33.98586723706528,37.13959265312672,35.02479821312493,30.574626646659613,31.091215422675596,33.63270928565998,30.865824289007374,27.60542393999367,25.26833689888714,24.735558743034098,22.03106101692058,26.882484559255655,24.50821788303543,27.34511052249967,27.89188922140384,23.448423083163707,22.619479860845043,20.92921196279217,21.910734798522043,26.481202313183495,26.57017392222651,29.568097493402757,28.803419630328175,31.370568339028846,36.61150609750601,39.20431356694901,40.950727101526766,36.0275424915496,36.905581354819844,40.89319800420186,38.75899572520784,35.331216951460185,38.14669852308476,42.2317444946423,43.28830771773042,43.20417595759812,42.664389632230844],[30.831209131051907,28.0722542836902,26.86320712476869,23.64557400462159,24.226663719364968,29.65890059147708,30.681793716696575,35.22550882674876,35.7857927358767,35.467359425546235,38.9378044910909,41.99599555367317,39.08828611403949,37.608272402149915,42.59671930455961,43.08711016506348,39.273174539627256,42.50823985789429,42.094705830718546,43.65512684724426,45.33983231143562,47.87127659283771,46.67959956834815,44.1567681980904,41.94135728391688,40.22225317411896,39.258589767201876,37.929707099121735,41.25099961785057,42.83255852728617,47.63011265733426,47.463507725304716,51.847346075157546,54.192555592712615,50.63669361270026,47.43247206186612,46.52942955201174,43.98968806904086,41.6258776543095,44.92205302498347,40.921367921064984,44.048364652053586,47.329816210052634,44.60121274667387,45.54746580625672,42.83683872207615,46.008440659417154,46.34634332504177,41.20239530298637,42.36416270261916,46.724172047198934,46.39145196145231,50.13415236377542,47.14437058411112,52.51063817129112,54.87501673569513,51.4325498602709,52.54374578941063,57.0628349322935,55.99347222535184,53.1187392777326,56.405946633392844,56.177600885128285,56.6944180405097,53.18318986110481,50.75858204205575,48.84147499796953,47.79930399723052,45.199001365051544,45.449233594950364,43.90219188887548,46.552438073107076,48.98623058579649,50.29743896735734,50.83796499401475,56.76328658400743,53.90569861676435,57.73139513437962,55.29300743228029,54.472205332335434,53.326350574591814,50.50919836943492,49.730072768552226,47.73145367603089,44.244790952475896,45.603670453135145,47.58514845911097,50.63256404752545,50.06832588068047,55.19083126568242,53.2955167094655,56.79918481849491,54.54977132891216,53.57458644774502,49.18970099764423,50.807621890145604,46.71854900386091,48.81521941562838,46.642932725021275,49.02466187844078,48.15724540075894,46.59108963018829,46.23126486655856,43.47953553278552,42.79858299045317,38.82312240679353,39.94343670173542,36.54961915846071,33.91076586900851,36.580450113828775,33.11116325424401,33.05222314656327,32.64669249029381,30.723323951555923,32.96882659486921,30.528167529964065,33.7844670630528,31.470776370883296,36.89209812567882,38.086700226392026,35.43627606933741,34.06582346612208,29.29940273997115,28.778336324283345,28.902151063855055,26.887537997499848,27.919372888523796,28.59349858486646,29.746292740978234,33.62476897234803,29.571967733419786,33.39792810949757,32.55873999019575,36.48405581448433,31.02749460214137,29.504316572773597,24.42090952286585,24.938976395459417,24.273692553298083,27.881706402312535,27.053007095350516,30.888177189772797,33.564272526785565,32.380752177740504,35.69407696105918,37.373659072865934,34.49743350709043,36.209915793977785,36.18814274912562,36.18968884074009,37.79756076916689,40.04544157875835,43.828320449241225,45.81930031666292,46.92375202780574,45.784204080249985,42.93274273227646,41.87741137188514,41.59566506033918,38.6979989699824,35.447985448671176,38.76400609119049,33.836411635202076,38.041686726353475,34.76884413101902,29.47298172825179,30.272135193979494,28.144838679304144,25.349040876188436,24.595378050157993,27.074923195885308,28.609952797458117,33.68403968995755,37.20019182317658,40.275945019176454,42.7902567175639,43.36915929922107,47.8539612793992,45.09770849412715,45.212114358090695,41.47001032633485,38.68518627331165,39.41338982146524,39.53920706642264,37.080252262514776,40.4865011398079,40.59415949402398,43.316534367853016,39.37136915326124,38.99007185642312,37.031792951640675,36.11503964653756,33.55601671976908,31.86536187187863,32.197909920158466,31.62623353556952,28.500150504067797,30.773991654259177,28.89353752890367,31.570526754919456,33.133968688490974,35.10719292650688,31.73812712571011,29.47850730568595,33.46547849462518,32.42700393653111,26.479922219705195,29.876719431283828,35.030728005104976,30.4595939151899,29.055514413830846,32.73632887438851,33.495443126790484,29.416110776333536,30.229060903615572,27.45807887560211,33.21738253715524,27.20821232097658,29.729743237535786,33.75919510949482,35.907519242168945,40.44947787387966,40.602037631733765,43.37275503517577,41.3876569448503,43.883515804090166,42.547109478084565,44.371398210021674,42.161902340280776,36.86268156614427,39.66110883176867,40.19179809753732,35.55821872049511,34.45870380328156,36.43963154158307,33.73450482957694,30.197245903810707,30.516355462443297,30.221267657118133,35.18326568864124,38.11700658749899,39.12551467751393,42.888537844779655,46.354508868631314,45.17585101571656,40.36870099932727,42.96618377137786,45.42842635051445,41.21384819203315,38.938944826222745,42.62849521871343,42.166190944927166,38.063318459712065,41.203344188559434,43.28334442907897,39.876901101281426,38.7388831519573,41.70770582529716,39.05003879533666,41.20048554093908,40.08379280797306,41.61795447421297,39.80202461407056,34.99118939840715,36.81952425273706,36.389695018473695,33.45838081019,31.330732758523055,34.839278118903174,32.385360371649355,27.793396321598003,29.003877422426697,31.6762671831806,28.522332552043327,25.095175349847036,22.210409221205214,21.955972061258098,18.594448256031217,23.117957553899686,20.447263753374155,23.563840912978243,23.87374987240807,19.25370038494068,18.92212723669142,17.588750412748315,19.162076385340715,23.763629513474406,23.91522780284673,27.400360088608867,26.481965022742006,28.396081053519055,33.851031988443026,36.17648562917666,37.998276817581065,32.9709752051342,33.405437531730996,37.34276860319047,35.4395202072741,31.574615359318067,34.19708694223767,38.19899765658087,39.16654986092842,39.0250724081922,38.41067132038175],[35.129020717005496,32.60338440507172,31.71153808221412,28.887600489605237,29.785751245886512,35.22424060619464,36.490114316995104,41.018889293711354,41.63137267106917,41.43783397019642,44.89045721081895,47.945779413926594,45.11232949080747,43.58875866581434,48.591730185245495,49.11046720168045,45.269730136795005,48.431924328403475,47.83922415285162,49.40447192857592,50.91151042954591,53.333799087785884,51.98872987000352,49.293216938871076,47.29877628040465,45.745784846624105,44.92477842210492,43.773152764753014,47.180867093185846,48.82528222566463,53.62233342181756,53.4812056115669,57.870771837727155,60.18696045906089,56.605815435123006,53.36091291224062,52.46183233670234,49.79200502583029,47.32415663922962,50.37260784966076,46.328781678512314,49.59181602625257,52.72682717707593,49.812832690303225,50.54627618197626,47.637798684397765,50.63536522273287,51.22814489335504,46.132635119176264,46.943462653744774,51.47655309372745,51.233171815514055,55.11864960242783,52.38671037111999,57.712389742027334,59.9819470846923,56.63548996195187,57.98978440084433,62.42186611035935,61.16244711855056,58.494835871465014,61.933788704606734,61.85733078267855,62.21625334243796,58.64482422137104,56.38964446149306,54.48473754647375,53.60376030557518,50.93547107253959,51.29563235462663,49.653855631985294,52.19451572758199,54.757470000209935,55.9883153973763,56.6868742065627,62.56762822082077,59.699054983233076,63.58516789528287,61.10336279369656,60.15792038681496,59.072133136994964,56.114617319404104,55.41411294269661,53.22215195541672,49.7869462383736,51.335146266423855,53.315037127159584,56.47798270605244,55.90879696722401,61.11337096710678,59.22412293840316,62.71046629151605,60.50799476595117,59.57799449157405,55.199585600504854,56.78683684413419,52.68637500228155,54.834077863393844,52.639495390492044,54.93776943783023,54.13400966343541,52.43425427542579,52.11267971045994,49.20481993864785,48.31081694022265,44.346501249060886,45.169299090574896,41.61123222377763,39.039218866920386,41.94915975025815,38.62547006056776,38.810669085494304,38.545752903296915,36.69524221572773,38.997912568769905,36.525647381197594,39.71535150457441,37.26412142622001,42.56018654361178,43.95096695969652,41.28366610702702,40.00803133878288,35.23185674728977,34.79272389265305,34.90438753142044,32.86931659873063,33.66673810387323,34.312090554075404,35.19834316532514,38.97954353144978,34.60313947329883,38.140871938492566,37.367927719317144,41.55672436546573,36.233959351534025,35.06712867598796,29.85118806898813,30.691302475682804,30.159246592910044,33.690399311860716,32.65680547662596,36.234398777590584,39.1622697658118,38.12922863100609,41.38540685435331,43.24645528820892,40.4184098028707,42.18791079783918,42.115392467194255,42.13541329343602,43.59290563511726,45.8551978403984,49.526234511491985,51.42906095213297,52.71537886222564,51.63827504478412,48.86672547516891,47.726025484532855,47.54616770936175,44.49588039862865,41.24198867408158,44.59562138021683,39.555762811844694,43.639198433660425,40.12159504510202,34.72325258925275,35.24804608346661,32.72397091993492,30.051321937181893,29.794962953478244,32.30263158207042,34.14442133983647,39.151006506003235,42.73646084064307,45.930999518134385,48.47575997312339,49.228327097887686,53.59507576679926,50.73699556756419,50.735328001037395,46.838635020305226,44.14657603735726,44.50043583446861,44.38199992990281,42.09769985580381,45.55500233485938,45.86715417658609,48.272817286343205,44.092233510184435,43.56502391233773,41.343635968977324,40.76974855200695,37.980136473154445,36.39491781734754,36.55759024339788,35.701939688202366,32.95930608324346,35.01094000928102,33.09715402950372,36.18157139309464,37.23024548223154,39.58826705785395,36.49591310260006,33.69195398825729,37.48830089870803,36.896278894155174,30.847179875646734,33.68364039925845,39.00306313054975,34.72914860569495,32.871831191501606,36.280751582217874,37.505519026078986,33.34349426945801,33.42721764795497,30.652862895603562,36.01072848594301,29.483247693822296,32.540717338724114,36.3612253728875,38.09745892548401,42.60091278690201,42.60256421807855,45.7338469654648,44.11054694328669,46.81004457646128,45.98013535295169,47.41448583528235,44.81501962417406,40.0344312627854,42.979538431317735,42.84958660411768,38.22549467040914,37.66307201451615,39.53492822816559,36.12391598170951,32.87713356539562,33.97865336363592,33.88994978008389,39.31901026995078,41.995600405814386,43.0088872110937,47.02770844161183,50.3832011746377,49.6381321294398,44.749069303497755,47.04976135379873,49.83835718077375,45.88319380592442,43.258276890310775,46.899405314449915,46.63096068951902,42.39389453849014,45.10071496666997,47.274334200284585,44.02519130105898,42.43291491198397,45.131700797423726,42.39444734336229,44.58344799469212,43.77231350915244,44.88429224219565,42.7528787225594,38.40214835332724,40.110822297565036,39.094955430985564,36.24666783663813,34.51755303342611,37.31537764709028,34.369768420031065,30.402525436969604,31.698441931422636,33.475165246129926,29.97646531421927,27.04863677722413,24.825353752183137,23.28588099020888,20.464351308296308,24.950479367495774,23.391135801052368,27.067009453524737,28.03071905288407,23.215128825090165,22.97911449801063,21.05500450470913,23.04811971119436,27.650151768200125,28.718033760866778,32.21527061812997,31.838145940756093,33.50413577004345,38.98347751905444,41.071649100387724,43.22667385989066,38.265039369236504,38.282894295183326,42.30165333611041,40.80712223559819,36.632187320466066,38.8533198321737,42.80237003730628,43.54876632223216,43.164011875284494,42.310864277130534],[36.27155336345764,33.39563632415987,31.755809893520276,29.401884692758276,29.32457134850191,35.36333248037306,36.431219667968655,40.801821366513366,41.904317015139476,41.605856553168536,45.19902987112206,48.036278616367824,44.860118520209,43.81396258085376,48.65156633058827,48.808104571238964,44.875705481204434,47.96326257847204,47.37206200490571,48.46328667257201,49.942499571885456,51.981975094849076,50.71350873509757,47.98378266609577,45.951379474683215,44.80227803983118,43.74083713516602,42.87504305428904,46.33996128917449,47.98122733002265,53.20907268473251,52.759734516287,57.25177373531752,59.426200731898845,55.620430913389846,52.38426912380382,51.22608941222819,48.38520249096504,45.677097305128434,48.15798780733516,44.35408176986335,48.0469011277603,50.88042974624624,47.84448157787623,48.65252604181538,45.68247584815867,48.452342251972006,48.94222742198155,43.868415517823614,44.21840383555916,48.739601469847436,48.36310952764465,52.44747297913704,49.96853670497706,55.13111133128531,57.5024630524877,54.441240009304884,55.94274973522573,60.271371529275804,59.034198210265146,56.7546196061621,60.44696152218983,60.58588230084816,61.07916562987927,57.346563093078586,55.12910032177931,53.76005904763701,53.001504445831195,50.76222108921687,51.32600205891627,49.90523526988509,52.69524839793016,54.92979839369909,55.85458600309507,56.32898176407094,61.99158856662141,58.75589436648505,62.5923064345175,59.82209882288591,58.54666553965977,57.341687260056496,54.050564471401785,53.376767112764085,50.8211275883712,47.56255607201065,49.49497023101487,51.6578247320449,54.94489943294893,54.692870859880856,60.055282273713985,58.49672147208234,62.22495163912422,60.19567635696362,59.288659358415124,55.02540418262363,56.92269743213868,52.9338453123664,54.60079270047434,52.38341254502337,54.59139657667956,53.33839753924185,51.36600610535795,50.76062459176199,47.64394709830107,46.13530986221449,42.3989920928427,42.88878996608975,39.129863581536824,36.96457866631548,40.159844657900024,37.285438880405515,37.45955474128715,37.807547696527756,35.82018628990087,38.548825764034746,36.02910873337864,39.19209739382698,36.71768882119739,42.17896412583341,43.68385520719225,41.32494791333478,40.113127239894204,35.33363033466322,34.766485628664256,34.873659578861265,32.14561764822503,32.875469481946254,32.91774869332158,33.376149097046316,36.72941980323614,32.037046684785736,35.18882865568356,34.260192157089676,38.72867089542968,33.57103592599258,32.99012648685684,27.728837268808338,29.039776354789684,28.990501292261598,32.32908424163233,31.52749685294033,34.779986262858976,37.95688413997327,36.86713230043296,39.86498724166954,42.02207814802391,39.30984356220581,41.19191452575877,40.98201127926706,41.455734780631566,42.73432430080109,45.49857588417796,48.938643117709425,51.3916872835995,52.563226104093786,51.10202779117053,48.28957096337682,46.75302623070148,46.55257746693614,43.018478778989866,39.57316183935928,43.02405074287186,37.83666911036946,41.6098693986357,37.682124628457956,32.32231661305149,32.31719405718518,29.50271789066764,26.865793681547274,27.23297180985082,29.675998885950712,31.99619771998488,36.80823357205532,40.472068529146924,43.872489487744694,46.492283679536314,47.68604653749587,51.70507625053801,48.61130258316618,48.38868760532432,44.254360281256865,41.78574677155062,41.55543156920855,41.13490878071584,39.07546628571555,42.66068854663685,43.36328582725224,45.40943958770055,41.24261379091169,40.32042055869636,37.82961109314203,37.461133431238366,34.40816371186144,32.913792615817485,32.9670497643077,31.99673426257893,29.73957303277436,31.825116463170257,30.29989925354576,33.773595390593364,34.819307069024134,37.59441397110963,34.71469432618453,31.833457645779035,35.7612307390362,35.68462597208381,29.79217333469543,32.48508260482903,38.03106785178759,34.33106518135448,32.54204052647211,35.97490327108949,37.54174670588116,33.743688256840805,33.753093581333445,30.636425725340306,35.80997621957826,28.756353447044603,31.471966117712505,35.35597270040961,36.50017426952894,41.25741451697922,40.54070783894774,43.57286633339302,41.749286602496795,44.20183326090362,43.35839264422524,44.3744216176386,41.88929209762996,37.25622719793736,39.88977880346709,39.419838037646244,34.953070296233406,34.39617807430752,35.85877026005488,32.35957449897446,29.459746714545304,30.39330205774414,30.934744646294913,36.33854808500201,38.97413635699548,40.419633628351306,44.488419740418664,48.06307840150774,47.4367452662007,42.55525248897447,45.15774227822658,48.13464976485508,44.29937781669787,41.79316402801101,45.73315421286507,45.74985740547074,41.58518479896311,44.13694250025861,46.639384725926654,43.78012413375027,41.97028581634229,44.47402340015213,41.469296168723965,43.229056068748314,42.10545758778308,42.89608849928496,41.17358305529229,36.91391913581565,37.992789208236466,37.04166420084106,34.50450555046272,32.335499765051516,34.7021460808498,32.13341184341101,28.328132939697557,28.917441485096955,30.55424559238731,27.495083351929743,24.711809248882815,23.113737794482134,21.377106884174083,19.37804343044263,24.300961845650182,23.120724355148386,26.371305350814215,27.90521445337463,23.336704846113467,22.312726326719,19.804645107804923,21.198197774306138,25.72583180503675,27.132860197209492,30.182173124875934,30.384901849612046,32.47994742403896,37.732465198421465,39.936079894365534,42.31668839400396,37.54691764123049,37.78769584035101,41.987442455590205,40.627360618437365,36.80896440204828,38.98249861245675,43.139985536535534,43.92691344023637,43.58904601717781,42.89993197798789],[31.324880377804405,28.288063595904873,26.40443697745716,24.069927535101314,23.813117967039705,29.91741429045559,31.018973440968594,35.353764456060105,36.593516032001915,36.459689801463504,40.103909637345566,42.79762566795962,39.75887746157118,38.897911781623684,43.75232529057214,43.86422176474951,40.10804077897283,43.42952052912057,43.24916881909829,44.2791800873407,46.09289856528888,48.25246942013016,47.24544889410887,44.7756516083697,42.39428357091502,41.041749324978575,39.66680580954859,38.48515528783933,41.72886648732521,43.10603654581831,48.44011106124264,47.7452524923067,52.231377251140856,54.591329008781884,50.80895571398573,47.73903641277181,46.394563613584594,43.92067856121536,41.34692517920896,44.06405194221511,40.49453489813827,44.11154559028184,47.12024809810044,44.35528482005233,45.52668937635975,42.82599921857462,45.781253005134346,45.86631809984797,40.71154260369568,41.395345479858314,45.6547654996436,45.04747529956135,49.02186392778305,46.20362412046867,51.355977163768884,53.99273714811441,50.891515790148205,52.00503468927484,56.46850145730277,55.57946784122253,53.07767266076835,56.57558241106637,56.476759961613645,57.28833436907284,53.63364001188276,51.115406295254786,49.80576307102851,48.73947499697428,46.642634786779894,46.943493944478945,45.69680159952298,48.63319119471547,50.677591211084234,51.803834981815974,51.96746756303615,57.72206699105428,54.47592179487998,58.16178148593283,55.41615228454611,54.30694746572534,52.86541615651882,49.699644824167954,48.73174291637946,46.39003378086516,43.1871162874624,44.91516666552441,47.260639494751594,50.2650772919979,50.224241472360134,55.40695601792073,53.91241561109704,57.70259452217974,55.53230891037576,54.44394950854494,50.120695714656364,52.01304019004411,47.995310957255384,49.48671603572562,47.153013077693615,49.21269923874775,48.09266422221454,46.00352329635778,45.5875040944092,42.37801997439903,41.11193694849038,37.213746428861555,37.793311852927424,34.12651415810238,31.74934977477502,34.84813290152581,31.851049440760598,32.13712604681696,32.44134432730538,30.64392564853168,33.55306665550288,31.262628626445768,34.64728846761068,32.51190650952309,38.21736234515767,39.31515451559224,36.98205369223072,35.50310006596936,30.79284776431141,29.906844231512693,29.730598331196813,26.957242418128555,27.417074975870946,27.594233888155994,28.09652311574462,31.668034325274096,27.090193055246917,30.496904903503324,29.79238171467055,34.055612481633176,28.886833767782782,28.046673231240547,22.67977661852535,24.12669864713635,24.25800605338177,27.770821130493104,27.569506313520222,31.1894818393107,34.000875931891315,32.56925268659098,35.59246870476232,37.416672154258656,34.583833278409955,36.191369230615926,35.80382357725391,36.138083243010634,37.297995692333316,40.04634748856429,43.44048056591078,45.906327322254725,47.116249000427395,45.670203679969,42.93558586090532,41.37280017017936,41.32966091428865,37.79559986699868,34.60101121662791,38.252697460190596,33.31838835007884,37.21447741943794,33.48163324197405,28.36139219277095,28.37053431993053,26.08132615376428,23.0150166245889,23.02652095386592,25.262937596045006,27.429336129639843,32.272005211988954,35.848083391305515,39.13467004130314,41.57123621981373,42.70430644965857,46.77031508862382,43.915084514355655,43.66907920982796,39.80866031842545,36.959652737792375,37.12992348842422,37.03845865561909,34.917183421799656,38.740382239737365,39.399716428282986,41.82305682116246,38.08152404571853,37.08786276251019,34.78223925540678,33.901287136523585,30.85344665877333,29.027388077574315,29.02429400921082,28.056412035062777,25.268570735742582,27.332281487565034,25.573266398430086,28.764492411432084,30.008984206189872,32.50970315845087,29.468271010401487,26.80408802895248,30.822029766391957,30.46106142064061,24.581409559232547,27.58085735821767,33.038631200524854,29.173299442003128,27.617271689223543,31.20803932384767,32.5368484333928,28.826307283986743,29.23170407356655,26.09105603268126,31.516439149479922,24.822748128532876,27.182741958935665,31.219892482305067,32.738828752208526,37.50999537077103,37.031116289929976,39.820719903214204,37.780590267514974,40.17402482989071,39.01108492603715,40.429032525666486,38.14968662958263,33.095839800514504,35.7782174685964,35.884932467985735,31.3152251061174,30.40762054495337,32.17708929658925,29.162541076417398,25.848188666489104,26.440455699534287,26.520265192541284,31.761720227622178,34.53398848467007,35.801313070197736,39.74505800579513,43.31064379121117,42.451848311808945,37.585638788039724,40.25527161703846,43.046612022269095,39.07282472973607,36.687660950117184,40.62276168987491,40.52535749015649,36.4111938930162,39.19861609717798,41.63688344595502,38.692657733533004,37.12229219273568,39.794086378722255,36.847780565668046,38.62962126949874,37.36476065095728,38.47712546633722,36.88066786285455,32.29401536202855,33.56741823904801,32.99092472550416,30.323829297310123,27.960996508725067,30.951146201709435,28.64129832354143,24.301791687006972,25.024464594187226,27.406700385677542,24.479632480982445,21.22143789097346,18.977681099113376,18.299400021459828,15.738800297002735,20.691672042510568,18.714312594679456,21.60236243674818,22.818556373307572,18.388165351828974,17.22212551635528,15.018178653465627,16.23865077399421,20.828167288599325,21.79569164712962,24.968822811842756,24.95486795556345,27.01725853233167,32.30074010423758,34.55716594197547,36.83914562641541,32.04337509243526,32.3855353789029,36.56782379536021,35.13176485944993,31.41099596779363,33.69979918690603,37.90678600514895,38.79737710797176,38.590110691417095,38.06499078442568],[29.8083063611326,27.16299431824931,26.093842101410782,23.862828194920183,24.785750430644953,30.37033683992289,32.01590914111645,36.41765768953149,37.46807317148283,37.788291493048,41.359582377960635,44.05574778045576,41.56480646403368,40.47362996788152,45.50614966165227,45.892695000489596,42.3915023103168,45.95154048275364,46.02590548258142,47.35829747114754,49.34974611144873,51.79306417063217,50.83766707890452,48.476215903262215,46.01335906416034,44.33152271876312,42.9723952669353,41.42887478401998,44.46916763028288,45.6155383022479,50.72082229567757,50.00832840826408,54.40486828718215,57.054271537369885,53.448739469420545,50.52549735453474,49.175234611905616,47.10932160196332,44.76267042517238,47.85316838906674,44.328151762981015,47.68255786516323,50.91704784213109,48.3299560256754,49.57904234322563,46.984768894514275,50.083326427459134,50.11217166315348,44.93722856466213,45.88280370491304,50.06102496805468,49.40305259364411,53.26832556832223,50.23410965588694,55.4109520941068,58.1351723523344,54.922095622985495,55.79156349384808,60.3502450353785,59.60736994452213,56.841759472160014,60.11362796037298,59.77224185169705,60.660946018600896,57.140261975399156,54.465172540621026,52.841694465271175,51.52867857682542,49.185420518078466,49.1567439313499,47.826073567322474,50.618861285654745,52.84939388479377,54.34964683177745,54.50780653105575,60.47167360615426,57.47719789381319,61.09209321877166,58.540329771491855,57.715176162445644,56.17089200604387,53.23922380977674,52.01415044222029,49.97083415180728,46.79204583214155,48.21413942433365,50.61117395430926,53.3238364352013,53.281506539125324,58.221997050722685,56.565447884962616,60.221097482737896,57.81247802671319,56.54700866436678,52.07320991906564,53.67829670237623,49.5214599823416,51.24346780172423,48.758971031403625,50.594446016784275,50.08177369003913,47.903628600150896,47.99524505412698,44.66238494123441,43.91359080857659,39.702929154229814,40.25663503090109,36.70945060609487,33.872761711787426,36.88020128633108,33.583641327406696,34.33089984654002,34.21799925906589,32.874836519640574,35.67152601603939,33.65550571379075,37.22500510905722,35.326204303768826,41.01677355528395,41.79668738872334,39.22012929022284,37.48861776108544,32.84101190523062,31.79776213484799,31.278285990549474,29.083598596615502,28.989757782448468,29.847480298494542,30.433204897962646,34.43019991587488,29.94215308573748,33.48707841197317,33.271555920173114,37.324459607742476,32.29715264919622,31.138047899875506,25.67908897108688,27.191222412391177,27.219341403529842,30.952629930773405,30.941939861642194,34.89460375447154,37.395619224795425,35.82859886640501,39.000110421617585,40.423681879139664,37.43698150792803,38.69657273998205,38.15690615381309,37.95772034521847,38.9255320240723,41.23162541297981,44.597255740382835,46.509668331035684,48.10235918414741,47.07119654241576,44.579063167949926,43.20734387492547,43.503097537518585,40.20123057483753,37.49018716364155,41.298429975385076,36.67733802262685,40.76957285418839,37.32376174091233,32.37635755359327,32.504382872260265,30.54090510904422,27.27087602388181,26.999755103525377,29.053613096153878,30.968207747405508,35.83416485753059,39.279979695528255,42.38076366935613,44.55973437128887,45.48128930702927,49.69190629014029,47.19326362581524,46.94627029412381,43.42669115519045,40.130574862787086,40.73342241700314,40.92707123532031,38.82371078630347,42.813685459877235,43.371801649473724,46.06191768385797,42.50403807989262,41.56058240055118,39.3484573965076,38.22663058037737,35.15670896883493,33.08880543579423,32.895530122289315,31.67066609182146,28.513537990638625,30.144986935792957,27.787888040286536,30.777359042919652,31.501857835104573,33.805382202648815,30.82580447625756,27.77892840974886,31.43799128362744,30.91009790925201,24.842345250920165,27.50702274653091,32.83419835909606,28.700944695900258,26.742671366458243,30.11761444491374,31.5043382599342,27.461568556451702,27.423103040778482,24.536555731433626,29.876009342400906,23.347665347462584,26.32359015478689,30.17183765017585,32.040227970328196,36.535057771141766,36.69026384624296,39.75934636377606,38.155923722770595,40.935946177820284,40.13455795783009,41.79025800655983,39.14231166556689,34.28324909130923,37.441624733641,37.55209265637891,32.82925052483609,32.30470066872462,34.56414841124009,31.228329385901233,27.669908025817257,29.13414202755378,28.437647899184732,34.03669334420558,36.57680602733937,37.25843918183177,41.316204465051776,44.495068673047356,43.87516522033943,38.97063650724409,41.02344588956091,43.86414867162145,40.021756225806605,37.219952761290536,40.7995421421729,40.59795509212862,36.32239125962341,38.90869413766522,41.12053941794498,37.97890630754803,36.25762144751658,38.913309570897056,36.15426564343914,38.356528514055526,37.6151177439751,38.77380358585846,36.56793264927708,32.20090050946836,34.05430290649203,33.04599678536431,30.112196917919608,28.506272438006146,31.523151763472953,28.53277837709317,24.39849150987582,26.0149144800667,28.02051725754642,24.429558054464277,21.29003785984138,18.740652093650272,17.58995955191675,14.42039677359644,18.918709742003326,17.211049699784425,20.860855982637982,22.049020591972702,17.272095456012106,16.929282115605293,14.937756548489538,17.188102727732748,21.725779272240008,23.1182838691413,26.792677958598265,26.714528916043996,27.943251291589696,33.42831710079656,35.29118467548513,37.70805478059701,32.830110093147624,32.52115265649063,36.61684877650594,35.53043424588026,31.203211287422874,33.127774582093224,37.15941870531579,37.84215088437824,37.44488936956091,36.67866727165264],[34.68290196892338,32.09231549874475,30.94622295828827,29.07513253097917,29.747584156223787,35.54003518511582,37.16673736838051,41.50918474870451,42.71835491494964,42.96380636230768,46.56524144936215,49.238982207169535,46.57450880426193,45.57255816635472,50.54798633027738,50.82145844342484,47.187569091143395,50.59867572773905,50.42737083031982,51.60698596825767,53.38407080783924,55.59108539059823,54.49568556600425,51.93821820433848,49.68498207929861,48.30260431908051,47.03161644222806,45.798283112424045,49.0001565504523,50.28500372991129,55.52854895022805,54.803448003909935,59.25220599541564,61.762456930137,58.04059950233047,55.03141866581675,53.65161176446369,51.31057197004666,48.76282023711211,51.4365585648371,47.89098247153086,51.50963656692333,54.50439824907837,51.677975773062556,52.7289209063051,49.91669301875458,52.78849790087118,53.04365000040805,47.91705622860038,48.40529117903903,52.75840736645348,52.17172992613233,56.22540872653426,53.52534202069432,58.63138370116127,61.26226753371972,58.21340243326101,59.39691568627704,63.833306695765216,62.88253684467214,60.441934142632306,63.9591036765806,63.86112276695827,64.6106299938,60.96516103613163,58.4896903257649,57.05342628331502,55.975936627524945,53.7057358164676,53.913446243762635,52.55079907427014,55.34137848869145,57.58420809263822,58.851825781094185,59.11745444973455,64.95214999277141,61.80728532855584,65.49394020249308,62.7950253548362,61.718209760469016,60.2399905101047,57.05945711785966,55.989759499604695,53.62790279357691,50.516679353657885,52.25885196117168,54.6621515078099,57.58885086606249,57.58948464911347,62.70851815487959,61.158102868311786,64.88418726933072,62.61592626446268,61.44999379115903,57.04189260028125,58.76159833932586,54.65013350583889,56.27799502272924,53.82065164354799,55.644982018983626,54.92233347502899,52.619361152440945,52.53580601173861,49.082140331636765,47.88570568253402,43.838190941949215,44.07986110404811,40.33898548507215,37.79614151563826,41.067922867051685,38.082776663102,38.87300401306121,39.092600494824076,37.62699969360029,40.54223831861117,38.3796525053363,41.826711387699035,39.705892076348675,45.331826258204394,46.413114745590136,43.92893920990553,42.37451907566192,37.668357975317086,36.754706697459,36.371152710867676,33.89709414078876,33.8284090928586,34.35307576151799,34.634672683271546,38.31542024098344,33.506363987543324,36.65187470800579,36.3188513537176,40.687705995553955,35.79046027668524,35.12689349874799,29.629745941856527,31.39679171595383,31.58081318163711,35.152338881150634,34.888435518148775,38.485831383486214,41.34815752371891,39.9558228743776,43.00658434140674,44.76418264523588,41.88437728776105,43.33620198075536,42.797449698856546,42.85541286196889,43.741235068131935,46.26906373635767,49.508198575480456,51.6033371102166,53.208713159698135,52.04053243847283,49.533223585243306,47.97224141976678,48.23726697696104,44.66803674896115,41.766041087897754,45.55494358225517,40.70948530894152,44.59015517384495,40.79077713913267,35.70542235323961,35.50499376977425,33.05861283177786,30.003627553548032,30.318724700200768,32.45331367258313,34.75431121840692,39.517450507229775,43.06680381660245,46.353348965042784,48.651372984881,49.8554748846602,53.8584592423503,51.12335478408577,50.740811183271845,46.947060006364154,43.924698535459584,43.96426690935914,43.80087764924385,41.89352263790479,45.8775397428702,46.70228404126527,48.969481325511126,45.15443775702104,44.01109132916545,41.50250415286749,40.79787762080834,37.509025020454835,35.64300501577545,35.341702658240266,33.92525691030702,31.355025040837756,32.89635742064751,30.788507969555994,34.24306598754206,34.6307015873803,37.40613376644183,34.73288414603979,31.326447668422553,34.884738583688865,34.928012282951975,28.93792728691742,31.109217334688704,36.60475365057283,32.98684086792839,30.770514437736683,33.90942774653565,35.76676734192124,31.862187298061134,31.262917088192424,28.275712299084216,33.1269811216856,26.018487784393507,29.225878242609014,32.87444073355109,34.06658120881622,38.61177822882196,38.26239624868575,41.574922422239226,40.18822591464446,42.98880437138146,42.59329556101369,43.69767401647912,40.806373394813875,36.487515422794324,39.56419679274721,38.945743645100244,34.352548450746525,34.27072397216609,36.17944553320331,32.24320024480651,29.169637817467883,31.12083255182269,30.97430079602781,36.83958371961123,39.163693503759376,40.09369154812507,44.33996901395175,47.544259755072105,47.29748337300536,42.36527934021234,44.35707962142092,47.51061952600272,43.922033278767664,40.96142691794599,44.62929513738169,44.69801720585447,40.39246582461421,42.57530568672302,44.99296934692905,42.15977105635505,40.02481249532673,42.360319222936305,39.43846606722869,41.44392711812483,40.7906299045267,41.44578159843293,39.208837519646934,35.300461461588185,36.7164215172149,35.26981663848685,32.60043958317908,31.10901919407327,33.26462603931042,30.079579645849375,26.64066361149079,27.914491996179667,29.030930738560873,25.403015602755545,22.86330277765849,21.304622836151147,18.890577926501834,16.8102391476897,21.341215830609666,20.830069316971713,24.602370350422294,26.475113548764167,21.78274595262664,21.16626541058177,18.54679281131311,20.691607515401866,25.096337687454824,27.21966466324945,30.617495805739456,31.112227864239994,32.450096676614415,37.8037402951935,39.57999556174179,42.27709589455595,37.54187196058974,37.10966047878827,41.304673626139476,40.493500517200154,36.17059961908663,37.83670805953603,41.879642927908925,42.4322762965949,41.881564212176436,41.01123691026143],[35.00696133986955,32.08963667351997,30.22305319445482,28.76154475798695,28.505644953773427,34.773696101825806,36.188363101502105,40.34915393941681,41.98620193619705,42.13939986029991,45.84182642466597,48.29936346837323,45.359478382295876,44.79561606020341,49.5973332958142,49.55082342124325,45.881059633740115,49.2357960840186,49.12468398442725,49.885451401643564,51.680430163958164,53.57063975159358,52.58943703754978,50.064735079741084,47.733802730652876,46.66842426359086,45.15242600741876,44.12280354910714,47.31854022917203,48.55767635864617,54.15625604661881,53.140783244833194,57.65678591003608,60.054577860154424,56.15840056647631,53.193361278621396,51.57239308125094,49.14871605068966,46.432992834253604,48.63720810237157,45.365458679134754,49.31462357545756,52.06393950994932,49.198767099436644,50.371608114380926,47.578897967596696,50.271478068309335,50.357598073851356,45.274600618196374,45.4228986366214,49.681465529101715,48.94230086305237,53.1233274584046,50.59665161371959,55.53066891172626,58.28681284608868,55.4916630305368,56.72664316496792,61.078186421234186,60.211583029192354,58.074501277193264,61.761379655327666,61.80940076630912,62.71958343063498,58.96571691175899,56.48556462007193,55.52032919339153,54.50691731838388,52.63392334817594,52.97725554934389,51.83333584647933,54.84102306821802,56.76881057843766,57.79556291556275,57.82730877231403,63.467674241766616,60.01807072600893,63.62575051768313,60.69383776065488,59.36402922389237,57.75311049033786,54.31742463975243,53.23215048681364,50.596783637991855,47.66599473812332,49.70012084969569,52.27683304810187,55.25487911196872,55.558028226871016,60.764910869208904,59.51307776663322,63.43983536764619,61.31213703929129,60.14969124067691,55.85408024226215,57.83631846983613,53.83790113281222,55.023205633054694,52.5503387598089,54.28345502872207,53.17464079676734,50.638987183911425,50.32236558745701,46.6973181795603,44.9945198802916,41.15273907809765,41.11038723954698,37.22052461891371,35.03792790915636,38.5328790185785,35.959852445609705,36.738335992607496,37.49193959980727,35.93834335946107,39.21460984449145,37.060502767775276,40.48117884545285,38.40999644862424,44.16160009750703,45.27239717029289,43.07013381472525,41.55027922287852,36.89275377931845,35.8435391226905,35.433448306403676,32.382871020151185,32.23202592002403,32.22566893375123,32.122546757149756,35.412403423321905,30.370096438234615,33.16967567816689,32.743137492146985,37.30462103154305,32.600501598365774,32.436322562158885,26.951624852384793,29.146837821727868,29.782664592695774,33.16306441404716,33.20038022529597,36.54018918848535,39.51916991037449,38.037118393309896,40.841124308974074,42.785274799319325,40.01218375001688,41.510945805326635,40.83560701789,41.277060200871716,41.99406550368515,44.950041885189556,47.97055644241744,50.55176175503637,52.03479918156958,50.527662941873274,47.998179260824344,46.098956901883774,46.35449712821195,42.38613316223544,39.37105142054617,43.24491803048307,38.35286461674822,41.94873250629471,37.85331434830599,32.907775007968596,32.22723563189022,29.6560757953531,26.581264016460086,27.40633407846406,29.399024595819284,32.07544441336156,36.61583272673776,40.18991935084428,43.61659715336578,45.938340068177396,47.5129649052624,51.199127293690196,48.30493851659257,47.726603102268136,43.79025154534131,40.92068806492032,40.50128274531901,40.124984720733785,38.426393792174615,42.546377738673975,43.70533954553723,45.70889840202832,42.0169506650455,40.51481507947224,37.818262723618275,37.1979729006204,33.68610064711638,31.845894799356657,31.416131448104753,29.881852280857164,27.695138544944648,29.237113193470467,27.472899669352625,31.235285206384788,31.65979296153421,34.76970476316987,32.281389619018846,28.878565733590968,32.56638728017,33.039108975433784,27.26188911485724,29.351009995554023,35.00336617033609,31.909882193577715,29.850932987811067,33.02962453877138,35.11367470197589,31.601863545795794,31.06832582937319,27.79112708318672,32.49053480045122,25.035334455414194,27.773827684327554,31.500970246103115,32.186270033377866,36.97348679468719,35.97737449619071,39.11929241787125,37.4648450931494,39.99562827724442,39.503169492740454,40.282698771348066,37.55854294965727,33.29199341755128,36.05994360335762,35.228285338790506,30.765888669497777,30.614272812921072,32.17833093928282,28.240121331224433,25.430494130288334,27.15935548039064,27.551850025385235,33.34295081220989,35.65092034083824,36.972146215313984,41.225918656258436,44.63963896315851,44.443684027150496,39.53906838319205,41.84349265568991,45.116209447780946,41.615863450039996,38.822292022119456,42.761870836393165,43.064936997987935,38.86802438049381,40.965790937757866,43.66432671474383,41.1800668716908,38.93206446276112,41.121799194987126,37.973589686971685,39.558244045537414,38.55946010617056,38.978755804408046,37.19156425553326,33.30296456176066,34.12905851271401,32.847241316219495,30.471306804068934,28.486223613413166,30.33921368335786,27.612351895003556,24.2267563795786,24.779661213518228,25.91307457987573,22.790162144340005,20.301355346648975,19.29479979906649,16.92710536683376,15.662213214979161,20.584478372105817,20.25725523405392,23.44918959483134,25.753256317419936,21.415404980798375,20.029613466639038,16.949974185066836,18.40112208034585,22.66764802253075,25.019374554495744,27.963361436716635,28.960196396680775,30.688531699790403,35.78782852456698,37.68363822734156,40.52874998824932,36.00142610488057,35.82574407969449,40.1458422200854,39.41436108559151,35.48834082453384,37.15454962940136,41.3734721530939,41.992894760656185,41.531546485479595,40.866603285961986],[31.564759566173525,28.502708424901435,26.38314675682302,25.014931266409807,24.533718777838594,30.880139709350342,32.29907780506227,36.40051915922721,38.171607325556494,38.4296725603316,42.159429741374026,44.492747462264525,41.630568046067225,41.233671930803375,46.01224637090796,45.90871807341558,42.3675231016088,45.86002958785025,46.02583106499812,46.712700625792856,48.724630524545994,50.66823621811629,49.87128827814247,47.52941022624505,44.97091388124889,43.79610556925224,42.06101388110164,40.84006879431151,43.87397393597852,44.92753702455606,50.607656360326274,49.41035189642627,53.9176271269593,56.42392728400448,52.539320253175845,49.695111764754216,47.93741961171085,45.761141670867225,43.13242453039704,45.46052738061716,42.37414878997905,46.27806634640991,49.12221859375674,46.44459430374071,47.86273946666176,45.25863776077602,48.0598470164394,47.868144961546435,42.748668289349915,43.1076384621905,47.172189166778196,46.273313319778445,50.37569705870487,47.63203551647971,52.54379591786188,55.47747872885607,52.67021468244896,53.64476738198009,58.07557492909756,57.44753654975459,55.1778721901401,58.736139713068624,58.63342726471169,59.75980808134156,56.061300480258275,53.38715534929413,52.49281307769782,51.28438356854047,49.54092796059629,49.7202710911533,48.71269644994291,51.82181518415015,53.59301014936804,54.73203479451897,54.54229709250045,60.21520763399026,56.7482583193567,60.24473836523713,57.32077024750704,56.08953965632574,54.31717908482992,50.95876852253819,49.67705315909691,47.176402876375526,44.29816516777961,46.206803057350044,48.9112871570358,51.696725331941565,52.15856404339095,57.24063408858196,56.05303120449102,60.025319161571275,57.82023426930476,56.54163264434905,52.22570084380849,54.220481248127705,50.224228803037064,51.25422037171597,48.70933846913315,50.33530493872289,49.28411382911862,46.65742367356916,46.45017061216873,42.75399497549479,41.182723268213174,37.2443875419605,37.242616199318014,33.39956396499655,31.09034268720412,34.54377618469996,31.923294515371225,32.79035452068461,33.56868895542303,32.152528895076365,35.57605228868966,33.59523514091618,37.142073045999354,35.315355830358584,41.203318444603646,42.04159203796958,39.89298870911204,38.20768778667996,33.633861134087695,32.36349816421667,31.753572117343793,28.628467142592843,28.25317753115348,28.287503439339833,28.1619105370151,31.571658224255636,26.577903983637906,29.53471576119807,29.268092610764025,33.701890414123774,29.01008585142272,28.717119046395894,23.166043881904383,25.528794954833483,26.350787761123666,29.802042150946846,30.27709332097642,33.811444316266595,36.538154845127046,34.82815194882211,37.61279553380137,39.3382880474669,36.504505883627196,37.81119153112077,37.00070596587009,37.37872956200365,37.992882230247524,40.972985907685235,43.940638874420884,46.574012041349704,48.063525557582814,46.53811848861123,44.062463643509815,42.119869020202415,42.481726916525375,38.48609901877152,35.644372788990296,39.65450352984439,34.951605795374604,38.59456594829134,34.62269950609413,29.87848137478337,29.164065797860086,26.960928943124387,23.590750438738404,24.223757318817153,26.03590303712149,28.636103171266303,33.156682418526195,36.66250745056248,40.014406283960156,42.20839804285774,43.76549369161109,47.45669989416154,44.71811084036,44.11295592827575,40.36058090879862,37.239890399867384,37.06978014107659,36.91284685750126,35.18394518875985,39.4711637402693,40.61727955695171,42.860071525834016,39.47221455949454,37.9103701216908,35.34082096383324,34.37056172624389,30.855063193099532,28.779224765310747,28.295021013816694,26.74919769287606,24.187480231610948,25.712134380055648,23.78507526112045,27.39341449264567,27.97082242519106,30.923549545786013,28.32430022791441,25.055499962842358,28.850101404397538,29.156257764218154,23.38267310958615,25.69675603568945,31.332539791337926,28.157885834409726,26.2776126582088,29.59503138254562,31.52979792646179,28.11562908340349,27.88103179453029,24.539254676937716,29.44682851580873,22.189231809585472,24.619468715487464,28.50826478163812,29.460960775439094,34.31619437030701,33.44704443778318,36.38945496469375,34.51999212444557,36.98946773893737,36.22093622961183,37.29798614094497,34.74891633803233,30.11291196718951,32.90385173083756,32.51804346496014,27.956784914984755,27.50323105346978,29.29016776865277,25.72836765413604,22.567364886190973,24.009435707274598,24.09072905862743,29.79266217507888,32.222686732159765,33.452277940738405,37.62662659124071,41.07328767863819,40.69266799612924,35.78402150370129,38.18547964880162,41.334953848475976,37.72095253810643,35.02863489719605,39.00592908120222,39.24231987988652,35.08164531389375,37.36239987951428,40.044997283531885,37.518305961132455,35.43917482864795,37.75743260993419,34.621857740205954,36.19321583481198,35.043027571517406,35.70068610825016,34.04906009117735,29.873607596197168,30.802764990388763,29.833640373898305,27.360902402459725,25.147645654394545,27.50356344573627,25.01681803045825,21.14476404084552,21.739277125276136,23.526412105287154,20.5350151307083,17.594026518893255,16.082203896604575,14.57942338224125,12.899102076056833,17.975055260670896,17.041485573276145,19.917974908183286,22.0743723775129,17.87780044002454,16.26185869881398,13.261093695343389,14.522661713132251,18.879286307432743,20.995276567427283,23.995377647028562,24.921820705958897,26.653114898543404,31.75462673333782,33.702196755466524,36.495453397958,31.96766215725376,31.886400911925385,36.211042276316505,35.432347019213275,31.621072295215196,33.36504474614829,37.63256974315484,38.334615665620376,37.977391916823144,37.439435047696264],[29.269255766721667,25.93109008786389,23.241845876263575,21.774267701038887,20.517078830680454,27.088147626812393,28.199874746187273,32.21498324788499,34.12276317940201,34.23570436297341,37.99466463787259,40.23689227775666,37.204808534948135,37.025710069017244,41.68939447400353,41.437946267602385,37.9105388960648,41.41108710840918,41.721298550228155,42.241253937796394,44.374858669781986,46.27614365517074,45.62849923568776,43.432505725908,40.70281883061554,39.53471135285499,37.609166904396574,36.34591251684681,39.30322477125285,40.29625392139479,46.09533150779147,44.78838140790733,49.31165343266181,51.78186856874152,47.85686236395024,45.053192762743436,43.21486036223547,41.09354139059395,38.47800441423461,40.82449373464918,37.86796217534292,41.781716178790575,44.64246650419078,42.09203783306888,43.702689340082664,41.26235121681526,44.12013197448579,43.69057677176657,38.56297372223805,39.074079436942796,42.96924009849063,41.96236778762296,45.994214506253556,43.11130305575323,48.00797608263261,51.04226293444783,48.237783409687744,49.05450417169059,53.52173133148614,53.04791295189884,50.7246960507855,54.22473367945373,54.06569026534471,55.341098488635254,51.66066313021766,48.876436223714975,48.13659387912327,46.84887669055605,45.30684195040875,45.46587272833031,44.61127946597656,47.84776683915674,49.40638525942255,50.50120185015395,50.129877875522546,55.744027588431045,52.19297112128723,55.62156390110013,52.65627052651137,51.42942561546624,49.58142003688544,46.23961828968564,44.90611260347817,42.45071956923018,39.57816542656764,41.453026607215904,44.21505282143071,46.945105765519784,47.50253487854034,52.558830947746245,51.46505585867603,55.50566998157167,53.32991553781543,52.03599093696374,47.77290093218651,49.8818452755971,45.95611959194688,46.78928703151312,44.272627232994026,45.94889022656353,44.68361214520666,42.09179671233129,41.743021130295965,38.11057083849048,36.50295425180324,32.61507379858871,32.77299103623137,28.96926376490226,26.732820202208405,30.104437422429914,27.516086790311714,28.165488595197974,29.08878955795509,27.57202846296066,31.12214397228334,29.18930247865077,32.74980139417864,31.07193693953502,37.04636555029283,37.7488050930607,35.75347866234757,34.033524826243635,29.5512993323904,28.15938407268313,27.53758315996549,24.13767332380135,23.885945137526193,23.660578106826307,23.567501763394592,26.925945039402976,22.034368051473262,25.17825960160544,24.782787709757805,29.1263768674709,24.31693262436277,23.94391322236359,18.41097380961454,20.814112441544022,21.825733317052833,25.22833901873996,26.05054952774544,29.62942635819446,32.18974483436413,30.327757827792684,33.035936292361455,34.69790325018286,31.878643157684245,33.159958899167826,32.33129170863777,32.872021658738156,33.54423954685791,36.70047494992647,39.68501506634688,42.58312035008332,43.86089639439657,42.14947366547098,39.58854495140102,37.58030600409689,37.84084168352801,33.793353722670844,30.879646789724593,34.90762607412891,30.264238850926795,33.89087457833829,29.97849760789344,25.370008362252978,24.654255302750663,22.743700346740606,19.185110300948832,19.63933985444688,21.35274778344153,23.910941795074066,28.419424198754978,31.905646992897417,35.239492779944996,37.44026878185895,39.00405622585546,42.688055884081656,39.94742926506485,39.370660779296834,35.65871654885168,32.50985952977142,32.47566900215404,32.44481564552635,30.618091296159218,34.93547322667854,36.03915157139915,38.44750228515887,35.279687496098575,33.714461716280105,31.296592301510092,30.058159605110486,26.635209704671936,24.449014884878224,24.074699558620114,22.75462751241381,19.90535451560987,21.726352890703023,19.969606484750685,23.376865767464174,24.530116546585518,27.27526062322905,24.4471574990514,21.695361107767116,25.78673210128108,25.83514983684624,20.222494949741726,23.07226126882141,28.618416063543954,25.372248571363453,23.98526126142576,27.552417673554555,29.13268634698633,25.96279921308172,26.396694162405364,23.00317674911818,28.175059715615543,21.402820081831155,23.115039513593253,27.199823403263412,28.385393395866892,33.31242813405869,32.40099126978193,34.930390563582925,32.623913443718614,34.79867267159525,33.48773839342493,34.83349232790024,32.73338640321951,27.578823893427007,30.103197979184344,30.311835384036723,25.790741696562492,24.715859332379452,26.47747810595084,23.6782093389488,20.293749019664226,20.719711743334496,20.840350995610912,26.089041722321213,28.822674045571713,30.231176478751554,34.18494170527896,37.85165935131154,37.06355996362472,32.20397797616423,35.041935481804295,37.93879074152103,34.08866297584339,31.784270031653023,35.92679899377441,36.06743793580728,32.06409421094113,34.721234480429715,37.412337302565675,34.8620847396804,33.16276003309951,35.67559797946936,32.54907113271415,33.942924370467374,32.37641115514656,33.361755314096655,32.17068988045296,27.55629392640315,28.387114305264518,28.069311120234147,25.6253671994243,22.808743662880243,25.800950749238332,24.007344471370228,19.525105987707917,19.722261150050073,22.500940079721108,20.111736357392804,16.707308286576623,14.676439537746885,14.739376696467469,12.81828005823255,17.80445371579003,15.863895021602746,17.875621711448602,19.581009077318143,15.810980704924615,13.695890849694436,11.087333083286817,11.410066599823153,15.786608509404385,17.070950375716464,19.872476612416403,20.561288475691992,22.757547490837595,27.756686724296898,29.997981676442073,32.55528285480814,28.04008050692666,28.45269539510353,32.75920028815631,31.650342547000086,28.288203384300886,30.37463951217207,34.726628589546785,35.64163011109196,35.51870168367771,35.23799919165757],[32.65412379514457,29.3900253772985,26.601029581519285,25.97274392490824,24.553233253797774,31.209745759007316,32.49411837944393,36.257130646614115,38.56134192345738,38.85930921535171,42.643829925940594,44.631148638174956,41.62175199351323,41.77919353156859,46.312213104488926,45.85361383034882,42.40301312847427,45.862625880467675,46.2077165553945,46.40101348433687,48.48708286650354,50.06417578319169,49.459971906068496,47.226309092917724,44.55241216838298,43.72324817614753,41.65866688534181,40.61261256437762,43.52004736487579,44.40079952145531,50.45534630218383,48.8359659746683,53.368079236065675,55.80833797168583,51.76540034597536,49.069439293843864,46.9646422876622,44.85360037018261,42.086364672209,43.83433910844208,41.216937668828244,45.46937430875261,48.01572258409247,45.37385903080968,46.99292627468642,44.48026091817387,47.04954836307973,46.59359913060959,41.56950053077795,41.524231775094,45.37496366647509,44.229476651501045,48.45371186279422,45.89637907855389,50.526113601644994,53.671718943323576,51.212698476217504,52.15898477745704,56.48162530642075,56.040712391548695,54.12520296117511,57.82074033949635,57.83592614878302,59.21163464409531,55.43655311659493,52.71283975349584,52.382457754517674,51.18124200416985,49.92317551813556,50.1699636669056,49.44392170781384,52.7648847181586,54.156438835665085,55.088279182335754,54.57268279227031,60.00402547567082,56.225293623240674,59.55864932065963,56.38965299420612,54.906276067983306,52.902506851300366,49.278418927857494,47.86651098952033,45.08559874735663,42.519897349439454,44.73638613458829,47.7053050894741,50.424736021307055,51.33616299438498,56.41561096496104,55.6072867290173,59.78867334344451,57.70689061402521,56.37282604585198,52.196391637686105,54.43649496156149,50.58567351741379,51.058247636751965,48.45358791822822,49.83412235753456,48.46774246636989,45.469490088726886,45.12478676895162,41.1359615839295,38.997470485310465,35.284908840173586,34.79681108221222,30.794022077456084,28.908733817829,32.650716347377646,30.616782913758644,31.6597881866142,33.09724783883336,31.76353436263667,35.624849772361934,33.8041326480529,37.31426287638045,35.67985462281658,41.64292818350059,42.39502084337728,40.58843800909958,38.88946262746125,34.49939225337897,33.009980815357665,32.24589013788396,28.555164112285762,27.822974194467225,27.285235944885507,26.553687709309653,29.44233014528358,24.15560310413163,26.53331489708522,26.353402499100152,30.976524424271226,26.734540005883684,27.14684561645412,21.702932204549107,24.760849119697188,26.239298845976936,29.390665183824158,30.386623869538695,33.590645737519765,36.32243381660158,34.45548107952489,36.88212078174522,38.70208297801025,36.0092168279875,37.22351069996592,36.14881951491193,36.89217556050594,37.15075608551009,40.562453983477525,43.14598433072204,46.251850596167905,47.70016561160405,45.85553448199847,43.47675651615304,41.11690485515088,41.60629034428246,37.13142472876366,34.35581640254263,38.52028422445341,33.94128430030187,37.174311780001965,32.90787366698742,28.54565678146293,27.106862187768748,24.909148804057505,21.451631045785206,22.802801050348894,24.236057884325604,27.296934877700142,31.386829836640345,34.830369596239876,38.290138392571656,40.38741815849441,42.422126561812455,45.651234444810086,42.84115801896551,41.92790734965468,38.128670460026925,35.0730010081442,34.351809097248115,33.984727582373246,32.62467718155533,37.18156835221392,38.80388395505195,40.741199473444496,37.66126504847209,35.56824346272927,32.76824322546041,31.813953207963618,27.94305035277405,25.794630545089895,24.988614466057328,23.1034209130016,21.0514848441379,22.337470789193862,20.757586827819708,24.773283800529892,25.151333406838305,28.553065468118792,26.35052310756365,22.9722934129177,26.733768752693724,27.695588471330733,22.377598501861893,24.29434445986336,29.985669084734145,27.645895312316362,25.888859469605105,29.04992237203363,31.334715214922923,28.493310387601387,28.136103639267457,24.589303509090787,29.01311524678682,21.532446231236978,23.376567927093127,27.1739071043883,27.420289741174255,32.44916695921062,30.819306528656288,33.580502463933,31.500356724630365,33.683515298586066,32.93065145684928,33.57473201041857,31.147509104959813,26.726654440711645,29.19352006591748,28.460768851182817,24.080986701668568,23.67760750001663,25.09756056317025,21.419732876501936,18.59987256878852,20.048588567206654,20.71744927656925,26.409778766974426,28.682551538603505,30.291878401812347,34.50161863745652,38.09171305186857,37.91736918513692,33.07234777454394,35.67936872053202,39.023824870017926,35.65631567382866,33.07566199062642,37.27714587876998,37.844143980699116,33.84827913755427,35.84738708355805,38.83704011745034,36.8184185124649,34.516836665264506,36.542304134504185,33.18609154780005,34.24185846540847,32.790934401490105,33.06355138678323,31.886702023089864,27.93435276509392,28.120119193407717,27.235301620157262,25.189524039003672,22.533190427310057,24.32838751873219,22.373992538592645,18.808400769671707,18.496085972274855,20.132925600305004,17.81031836693283,15.133549146142935,14.597436915110244,13.097720051103954,12.83538252718305,17.804550692407233,17.45462972224813,19.49908977056291,22.26480720731326,18.782687179521528,16.37868090995811,12.93291279529662,13.224807946036686,17.0027755346707,19.665346327967306,21.985327498693312,23.74759873142169,25.709310072622184,30.350848428101276,32.27631383569028,35.32926243711156,31.187040843834065,31.2240509123346,35.61758476494034,35.138414118624226,31.771374912254114,33.297837697282354,37.642094720417305,38.3412218005001,38.023811977268586,37.66933102702065],[31.140457279234788,27.642072243293278,24.223786166915215,23.773771883727523,21.419646816634735,28.23829781273213,29.202805800166942,32.731170812673334,35.2994583627338,35.49208368636998,39.28045706969059,41.06540887354624,37.898002828198166,38.41420957226291,42.73731402578534,42.04913914650868,38.67244169414201,42.11139511319809,42.64730992152496,42.54787505855293,44.761753754284626,46.19254372625112,45.78720128616721,43.735364522429535,40.88242296167447,40.158703738750766,37.83308028251145,36.79944486085337,39.56815767307148,40.325691820236095,46.56462634976733,44.724243700566696,49.25785079481127,51.64476096290232,47.537576524106534,44.93935301439278,42.65948550038831,40.64162747975348,37.86505950145757,39.446989145844164,37.118569630269334,41.460192534651235,43.92900255218348,41.433592951909006,43.29042651147838,40.97986751870374,43.524626943191976,42.76218683508102,37.783195074390235,37.76518079026552,41.37097408909871,40.0414622438937,44.22517142103265,41.590755053178306,46.11269707639218,49.41648349413741,47.06319136572067,47.83867129207712,52.15589810921232,51.92091424882723,50.05496845295,53.716640458078075,53.704953212162934,55.29203233593567,51.52676147680866,48.691994819167284,48.66053438035436,47.38804959478008,46.452530487198075,46.690539752697475,46.183857176507864,49.64771110655125,50.74558606261171,51.58676920722677,50.814505662210166,56.10875480808237,52.183634259386146,55.39429584404977,52.13020389052212,50.58952816186496,48.44853319721116,44.771657307086755,43.26515639434147,40.45012553528718,38.000592431284254,40.26529137998602,43.36723961870017,45.99858244084022,47.13290256464071,52.16344752286704,51.55019024728047,55.83449900457192,53.81537755491137,52.45223398839366,48.37752035178248,50.77244516964623,47.043648264026096,47.179457347738115,44.59144448503818,45.93060809073291,44.29475525880061,41.22175749339722,40.71573065380359,36.70055912261286,34.353401966524125,30.764068987922034,30.256816464139817,26.23496331981718,24.573773793089494,28.33145828085444,26.55137655040551,27.46018663975264,29.247437931247436,27.882661128437626,31.96167827606199,30.270586885006743,33.74337847722609,32.33209029930154,38.329203774326146,38.91787908826262,37.36270520572482,35.63928165064372,31.44788695510244,29.798231255846716,28.972839301584983,24.919782566174646,24.158955234337117,23.1825255800623,22.238205338145054,24.861000718285613,19.55785120801403,21.88716008650402,21.62290247059106,26.242931213318013,22.069968008860442,22.697052142589943,17.37340875766325,20.745225625301217,22.63493278695727,25.57253542514517,27.064647339644342,30.158499964070817,32.69968303875616,30.654606536966114,32.869379758377455,34.636118194397895,32.021820541743374,33.159384213110464,31.979430592488487,32.976463498720705,33.1584886448231,36.83797267597005,39.30035340360614,42.76121089254811,44.005937049363574,41.91412917729769,39.506066954039,36.969004746421,37.41409125289019,32.75723885612525,29.969508806207706,34.18644936135427,29.74871693935537,32.80659760424158,28.517364242176246,24.46688447766522,22.745733525494444,20.864459844935062,17.192439913915916,18.68200060353791,19.821556481889168,23.006554794551175,26.881345929608187,30.264810015593188,33.73086950556212,35.788283560684874,37.97863958062085,41.04670752960774,38.22490905859665,37.23704539411498,33.472187433469045,30.399691425369628,29.622664368135652,29.312450748891074,27.99078630369737,32.68427803417953,34.425136479508986,36.42715676665202,33.67089181138395,31.40135448204762,28.676257336189835,27.45188948853838,23.530782571911878,21.21823994204902,20.37034820169125,18.54640934598116,16.3834021738923,17.882331388219797,16.620563910888276,20.60684814554242,21.488835297215502,24.833770413318934,22.56003244560562,19.66779745537976,23.67851780449675,24.599293363469634,19.659362105641694,21.913860907989633,27.470949136663886,25.33776554886123,24.0882064910166,27.384994165817876,29.41361128768961,26.97975622220165,27.18387037460398,23.603989596648297,28.0789041059203,21.127025250446493,22.120801962331033,26.02214497676583,26.328716590498672,31.41135833786188,29.58150189660369,31.873412709679915,29.31693569081075,31.12266196816386,29.8293194241382,30.62843151741004,28.69672304697934,23.81039962628779,25.902311133867133,25.69383877385938,21.417031471161916,20.354569921595502,21.63092586916634,18.753061067757773,15.800354186266246,16.083391923424198,17.043301814092697,22.27543623363858,24.820855440511362,26.738718469347123,30.741102551936383,34.58726603903388,34.07675684757077,29.302113502048346,32.390684059993085,35.54175848036559,32.02776549586179,29.8604063817893,34.26281491754009,34.83060326436556,31.05185341334391,33.30965500709229,36.37044524401927,34.476637837518695,32.48260050256874,34.5993333681309,31.221440550776535,31.97020826814667,30.045657163449068,30.533556673778047,29.936693728887303,25.64838380764242,25.525846425755393,25.32503137172992,23.441245478473764,20.079880837765266,22.35434967745553,21.280305568177184,17.23388540011715,16.22920879850086,18.880513132753766,17.412154735415296,14.40053630971,13.617554993692158,13.76454118928843,13.54404112789619,18.17094133419725,17.0699401710141,18.057172011206614,20.533657993870392,17.7382928747655,14.776300585497557,11.693950861424748,10.714965309311602,14.130254968476466,16.17289973772658,17.975433891790185,19.851722030638417,22.28848370262548,26.621670670100862,28.797016508215588,31.697567065469446,27.727452733368793,28.241724311135922,32.598357887281956,31.926967711219596,29.123136870190777,30.864056978060997,35.26108453549764,36.13854835373458,36.04554246484245,35.96711614842009],[34.192942508008684,30.65616096188098,27.309515107122596,25.992569406158466,23.48886373153602,30.302346720501927,30.752250393417444,34.466656242329265,36.62332971860457,36.194039759193124,39.935077988258286,42.07897343666971,38.40538266295458,38.58736521896767,42.87585553927836,42.222845970508864,38.42833176556103,41.47977359173003,41.380735791300346,41.37630375427238,43.15825963537622,44.498934164315685,43.75835603132194,41.386121083243715,38.88552051529931,38.36481832773472,36.450496768768936,35.8573398276992,39.05200758068847,40.350603643082806,46.415406865971484,45.100906284085674,49.67923094889186,51.690708913173324,47.53605542414473,44.576998727467945,42.71748773310395,39.99505574667064,37.01566607039661,38.50897924484341,35.62478770627463,40.012549153002475,42.36791242445825,39.50797708697271,40.93892939759712,38.306484364924195,40.778260776241424,40.47916519534545,35.48520808891557,35.30126183700855,39.31745074066318,38.364448402915535,42.63843909815241,40.276371453479065,45.00937243530159,47.898500795642974,45.40873374259847,46.68652116359352,50.909995792535234,50.1821838719442,48.437599808771104,52.329396523031825,52.60789899037618,53.746666620955565,49.8673150334365,47.40166762946277,47.23358133405551,46.379526408337334,45.25637528424711,45.916986832673004,45.19170065999293,48.550525042648026,49.83786621751237,50.347976796428746,49.99922261293094,55.19868345127074,51.274001244668746,54.760560495396696,51.48775359427346,49.76079816359928,48.061155427954915,44.29142010928411,43.37105878026747,40.34474172311717,37.56924980117901,40.035129108301554,42.7332109602679,45.890859140968075,46.52714681693105,51.89810067757874,51.113842821875444,55.32008753164113,53.53569718193692,52.510583318458615,48.538736821410886,51.01942344008723,47.357603898816215,47.81695780151484,45.5339793618426,47.40850753310983,45.323819972123644,42.79315633661519,41.72443656726593,38.230909638495504,35.68258243642598,32.42910485699785,32.37206267593524,28.404201804362028,27.109854823597463,30.639105523654234,28.779824455357595,28.86417907874038,30.507901493062278,28.460051792337698,32.10054448015519,29.86731256472094,32.99714732130661,31.012954897529717,36.79014019531265,37.98694985731252,36.4215007356274,35.13258309409878,30.747108610659033,29.641733878023206,29.495936771448623,25.416232404345493,25.814102499209028,24.520612187883074,24.065270432932483,26.41234350464174,21.388238934514074,23.833766815075222,22.655172990488154,27.417423262342627,22.722112021415978,23.27246393721862,18.237701080292627,20.66853729333689,21.9730712835806,24.731027130404826,25.246746703676084,27.98242685491612,31.045384478514528,29.479340325130288,31.775315332001792,34.09558738189412,31.637562366103637,33.39644970390913,32.74994556492729,34.095785562869914,34.895429951897064,38.61562626498247,41.458034630938506,45.03137252414277,45.856338350678904,43.61551140021487,40.83342840197646,38.51551190169721,38.35600685920755,33.94063948328563,30.40574338007241,34.12415477766373,29.110092744522017,32.177103765551166,27.70063292981398,22.994703322579763,21.710529775627275,19.03108709986379,15.992109343758475,17.528420936896392,19.37150512226765,22.541993073201155,26.68909486877322,30.306402141938342,33.93289694215296,36.47305867682991,38.494452497425854,41.748793726589945,38.455891986612606,37.769130043213956,33.5012172467043,31.19440551878815,30.13656099633572,29.44560476288575,27.812280347299247,31.891065888824905,33.37279538542897,35.088790135513776,31.634597650225516,29.757618640041883,26.98205840139186,26.349520435150467,22.757243225955143,21.08411491190976,20.86855780985326,19.80122866705022,18.16127468061545,20.48166880278185,19.954912584921303,23.760531427167216,25.338377449490576,28.50320404528718,25.954393999561447,23.658985940685007,27.874307211481554,28.45907615464585,23.50593005919079,26.244782814874057,31.721378412562764,29.199534918876545,28.17396461827587,31.667160741266226,33.3466056947725,30.687620201133495,31.266290001112267,27.756033824769265,32.561050934652606,25.68809625370267,26.784451595911527,30.760130879450518,31.173228974156473,36.26392573512498,34.380964222471746,36.60430357882076,33.92504412923349,35.538898659935995,34.00926968294259,34.68310115326799,33.01344360558665,28.08834082462279,29.79519093227716,29.570350194743646,25.517625436562085,24.187656133935043,24.910011269492742,22.364005272842977,19.841787485884232,19.14650171700806,20.87671618733724,25.485345389589558,28.30294615523884,30.636453868777004,34.41582738815692,38.50232720477806,37.64640739129905,32.97208958432237,36.476458877819724,39.405504248850214,35.65923726207369,33.863801760853356,38.33923370071935,38.74567751018735,35.05125446211869,37.63212805288974,40.60467700118063,38.502294980534295,36.816819157028405,39.1102186346319,35.7934159234223,36.55508034263309,34.46160725138793,35.07922719939845,34.659079450839656,30.22116022289854,30.055777518354105,30.06020417345862,28.2061744778518,24.679435302942963,26.97287235372518,26.06351168785298,22.015489149468884,20.807316786937587,23.415284300782176,22.070816855121073,19.14864235522085,18.25773426887915,18.199359370933067,17.59785773526308,22.487838369495304,21.002572478039546,22.231714744671816,24.144374408002278,21.015765452190358,18.339114690047968,15.621150672956626,14.682574047619244,18.321368838971765,19.403098490079323,21.0477825603716,22.192001204330523,25.313119886575304,29.673140088615035,32.229543224101945,34.688671411302835,30.56134633733818,31.62377410777961,35.89502572954715,34.59493099170855,32.03594639573169,34.282237020594465,38.65720057007331,39.68745833757039,39.670587284494694,39.554043500764244],[30.3545183337645,26.699673430005532,23.04143625146292,21.559190736858785,18.500321999073496,25.294788310006908,25.516547586273404,29.173170876223153,31.358165394040487,30.908007890825772,34.653553431669586,36.72161282386091,33.07219051960345,33.38147259162337,37.63674996374336,36.95743222460608,33.28046234438455,36.496731273251804,36.7316999759578,36.7301467237803,38.80721494979669,40.33686187660893,39.82069490036132,37.712690019167276,34.89232766590626,34.108376527697324,31.945955626951037,31.03642340978784,34.0465160311896,35.16699308322855,41.25921426666098,39.83721188447509,44.40987400835775,46.548197321732324,42.43920722141016,39.57805603036664,37.64369612491986,35.2073410723039,32.38619394453025,34.28505547621543,31.506166477781385,35.711352510917415,38.314274542766526,35.74668918074252,37.50731730924345,35.17283074485791,37.90058139163817,37.2362892067959,32.15950914879565,32.515395186147735,36.26475486498117,35.1509407428722,39.227577042695344,36.43274482444705,41.25151337050926,44.32720695449615,41.678232902221,42.56017029994876,46.94829622801416,46.51578325772896,44.433413010026314,48.08234804105186,48.10382341551427,49.47858293880219,45.7052973084734,42.96778285714599,42.742446345884,41.61594528003647,40.57072574637528,41.01046956386047,40.42331955060078,43.871753737814544,45.00775016226508,45.695460426250584,45.12376045334897,50.41990337033195,46.553955739889915,49.94204873958655,46.75174107076755,45.24368744561325,43.401075428272215,39.833168355690496,38.69379292464897,35.962723593464965,33.11541663000322,35.293872854197296,38.08143296444677,41.01444615312855,41.71397469556321,46.93560163898129,46.12654992799376,50.34207592732304,48.437979767451246,47.29807596318644,43.284894600322644,45.75228703545624,42.09000940265936,42.46871650875751,40.15282893762944,42.036572569446854,39.993718773622966,37.53113236800777,36.53437625527782,33.117116977772895,30.901088446397843,27.48298301121373,27.79109944420376,23.97069456296877,22.453991389172533,25.746273233331177,23.66613889570512,23.568452977452885,25.130749706559207,23.101468277552236,26.8353210482853,24.769695232390685,28.04242797852979,26.374386376660304,32.30816654169543,33.13976995616592,31.618761321557145,30.144935852120295,25.891533550357316,24.555170802683133,24.266177782001034,20.08790421567357,20.534908487150926,19.198691434165116,18.96806921809916,21.574137355572457,16.807102713047435,19.838033952331443,18.68565342967944,23.150514576557043,18.14190541588329,18.195952062103878,13.031000181500595,15.448318194889488,16.932404235207784,19.813649256095893,20.939112346042556,24.05010990309992,26.67400509632185,24.788449632903543,27.14635986038197,29.137106957301853,26.563769962362795,28.13504547148762,27.430144838826106,28.71228026152177,29.58349115955523,33.29013630228552,36.21681650253151,39.82986540383392,40.53376867883432,38.27513877808145,35.45837968280091,33.20637289692704,33.03463353157481,28.723000872939583,25.276851843634976,29.118069984165786,24.291886911985102,27.582996813777864,23.405773654182717,18.874393406207442,17.850298031117347,15.945313315361885,12.337232551214267,13.118578409420197,14.818597031545147,17.71964514324411,22.051255375317353,25.624050125514604,29.126708756280696,31.57514153617111,33.40080508076247,36.84864560740769,33.753428801621546,33.17822272545699,29.160933704849267,26.497344054672258,26.067945924032774,25.835388833383362,23.924155153895217,28.134637264717526,29.365581496125866,31.63880662922111,28.58939000473124,26.87802090306996,24.502251221456092,23.19921250165272,19.854948479835006,17.80535345633196,17.774017935931482,17.059725106329378,14.474495411924734,17.152036120569313,16.508813841853556,19.725260183755523,21.997423219571345,24.607986589239417,21.67078169445416,20.066453287060497,24.487587809180113,24.483678866304416,19.725115763259456,23.078156025319903,28.25987641787879,25.431197826483984,24.924730193384136,28.608710446760657,29.75491529479749,27.263297842717567,28.538953468584804,25.179176304647413,30.242345182577047,24.22031751601911,24.740759974684664,28.8218492516252,29.82052346081876,34.77625593313802,33.325220103663554,35.16021075017709,32.18917816573387,33.65120776029505,31.55545862984769,32.85141244570113,31.59879595416157,26.036330864896954,27.68277596777771,28.432571672690703,24.349377882246262,22.336523883687576,23.417351523616404,21.90486313341631,18.868102444359224,17.140051394513975,18.273372911891975,22.285409793901355,25.469012982068698,27.637601848165115,31.116942857309887,35.270341393435324,33.894164665688045,29.28045689862199,33.04774127079372,35.57709363851712,31.511722516813148,30.074351709848553,34.54168419673797,34.69786260170184,31.153121600188413,34.19655250465834,36.99754432948155,34.70532917168682,33.52594051604396,36.099988170887634,32.95542550544541,33.76052042358417,31.419157541827314,32.59529257879369,32.412127302598044,27.491068436446803,27.620514024033742,28.2908023174845,26.28694557201723,22.45890354375643,25.725942346267164,25.279803124443347,20.57083051711251,19.50450071654601,23.22068010289952,22.15256741727857,18.74118809884396,16.95523923240583,18.48168469137131,17.20719248100064,21.648790896670842,19.1143687282251,19.579730946411345,20.72143928442155,18.12442039804626,15.343961568993425,13.52064977271284,11.838852585336632,15.264024301502372,15.046237879817156,16.639564083920018,17.1617348556079,20.623986452622425,24.950243259547488,27.7652425617984,29.872750275549862,25.67483720745892,27.16540344454349,31.319446185051497,29.647022407465958,27.446410183102373,30.029443754619006,34.39348769660909,35.63685256716581,35.867252999371225,35.99155232328951],[29.196534540965185,25.67283960724809,22.581245948266577,20.054157968822746,17.797494513087276,24.255029061933566,24.418685849721538,28.48253114455235,29.998652823809007,29.32349762382577,33.01638080137363,35.53488097322894,31.909131278627864,31.556446528536917,36.07830810651986,35.78183906047792,31.91822655375812,35.11977571417278,35.078420531951004,35.64820166099526,37.60919093428024,39.56227102365224,38.8132892598712,36.5710142832169,33.88612555475451,32.69662707422318,30.948823657753632,29.870210301596725,33.08844630574138,34.490783474542184,40.13722672807001,39.27009878115274,43.817585449275754,45.962236089309314,42.02719679222622,38.951532337348624,37.48292124446443,34.88780257010317,32.225769822174556,34.83000462486677,31.445507181280608,35.20175080510758,38.15145045416061,35.53951771395686,37.04667868885275,34.6129457914913,37.62474860439664,37.276095681241685,32.10238261171037,32.98820060471125,36.968141093488384,36.18964633497406,40.06995045969053,37.07442209935791,42.208026728013564,44.98296391849412,41.92233336428473,42.85624346275863,47.349583910513445,46.67871211163834,44.18544722644183,47.679665282981865,47.58606212510518,48.64421750155069,44.95520587332071,42.29779649637394,41.422091669620876,40.32271534185267,38.72419640274099,39.14783791322765,38.23442167095462,41.47872060009711,43.02659817539275,43.89160712984445,43.71453360188492,49.26483810548348,45.742199553904456,49.3395173056129,46.4286888758736,45.19748434037518,43.675405499108344,40.438891170762034,39.52380039982902,37.13982035851795,33.90661053568501,35.70559294703439,38.10890933528273,41.164623488081396,41.27944789390976,46.53547293064328,45.28449681906119,49.26331228572824,47.26097826249407,46.23312094474802,42.08894549306781,44.3243588496104,40.52023776006923,41.54272079430665,39.35720452276093,41.625709046462674,39.82068515575698,37.8945633253247,36.948674788668995,33.99644277291619,32.448943224895984,28.867994358614546,29.828759541603702,26.29678730319988,24.3659827614541,27.202166158645397,24.44788376707478,23.95047660281076,24.677401342252985,22.38761788066781,25.508225461577275,23.131977167052263,26.415364158063493,24.426356875001737,30.312594688157787,31.315466177771846,29.405570178281124,28.00674302868617,23.463617269779853,22.46741378321367,22.52373599593006,18.966497270854248,20.17446362654332,19.471170468997855,20.13313127036716,23.28653860799149,19.11882998079031,22.7582273259644,21.468644022124682,25.525983631938598,20.058514519593114,19.116856685228075,14.05588278525413,15.167696964812148,15.581061314626714,18.871268943343935,19.1956402393667,22.76286882651236,25.41332240531234,23.763781365101103,26.59125986207493,28.517331198876683,25.79589406564106,27.580798654033206,27.30078638789342,28.22672809080254,29.6492754108318,32.880953368623324,36.30536544390248,39.46610468583392,40.08407464797763,38.11843338149781,35.113361611633216,33.38440994277414,32.936716774804836,29.27005305417115,25.650656999380253,29.18358387906872,24.166069387863462,27.963544216551306,24.235559149867903,19.218756462963498,19.327027312549994,17.474023274896254,14.26568894398501,13.82080936697376,16.09430754370909,18.183268337619506,23.044594827016212,26.64666654608098,29.970720483657427,32.571717299825885,33.772905683792295,37.76980800693807,34.732690098732725,34.58157235027882,30.632642944557038,28.027897726293205,28.283510456514158,28.296718184419316,25.936965334971937,29.639364326056107,30.204381269094092,32.837231272294495,29.41348591025616,28.451452578096607,26.445827115678217,25.17511932482288,22.451601704101535,20.635722048849,21.063707557950348,20.834413279030812,17.830356066669957,20.668958003294538,19.692554565282432,22.326601981180094,24.849047129133076,26.90306431482436,23.530191762631613,22.20252137202765,26.640200071737432,25.88242395047438,20.749106013612373,24.608256900532016,29.660506342071304,25.94863632850079,25.47750907843405,29.364900175620864,30.022518820765573,27.015717260751796,28.646860858174012,25.50753352061527,31.07911657925318,25.38519045543522,26.310710185710377,30.4975472338363,32.154591571883365,36.96769954690987,36.18018508764399,38.13873434304548,35.309980051560245,36.99629056301783,34.835346354382786,36.54854156081848,35.22441583946672,29.45997220468137,31.37687378517668,32.45290164375461,28.22063196248949,26.188753929805934,27.593270168659792,26.137951609041536,22.821013186005032,21.243124198132755,21.76710624594771,25.672278129130504,28.98022900433016,30.769360964568595,34.13308023146563,38.14486147574814,36.48536819812648,31.873903666278682,35.48820191764882,37.734731828528226,33.38548035274571,31.952782478590063,36.19119863345105,35.96763854810068,32.323678865817975,35.745706020387196,38.21687559081825,35.39464637900081,34.57115596271067,37.47891789858832,34.567632441678484,35.83257398957158,33.716731400622656,35.310270820904805,34.75287660323377,29.571799581398015,30.393127152091736,31.0489288644141,28.665840861616662,25.201727409695735,28.9894075879908,28.10713490481731,23.094924079242684,22.80982433418145,26.630541335081585,24.992519756667903,21.32646967768764,18.746170023551084,20.315480072639456,18.00535657723922,22.509467998289857,19.276194369878038,20.30197650636287,20.632933586761716,17.476337317538693,15.438570976664835,14.25399281634911,13.411452275199531,17.32919766494096,16.323508542066516,18.61779963127304,17.9529354869628,21.276026194401194,26.03989638279964,28.955216072108907,30.635002623338277,26.025426186116885,27.586973568362527,31.61101907425291,29.418383371800893,26.923355558477898,29.917086150417845,34.20037476573133,35.52111292834854,35.79242907164945,35.807019081220204],[28.223478327735094,24.662656415968627,21.32737414331185,18.33487673834597,15.320560926276391,21.40639461863202,20.901486390618775,24.866484678031828,26.183514960735966,25.078856998363662,28.71552887314288,31.301132166759615,27.39346831903651,27.05173897815949,31.451190086465143,31.100029103552444,27.14740463802892,30.2878225580091,30.28605617174293,30.8595652525649,32.91871122930362,34.99098332781025,34.34408973050287,32.26084032881226,29.404334443826812,28.052978208459145,26.228070158501993,25.04766896652817,28.274112861336526,29.770176887909056,35.352432002409984,34.62832157366848,39.16980859225856,41.22053827786778,37.311041386234486,34.17343354733111,32.84223444993808,30.193925141721884,27.6196968301597,30.574670069064286,27.07876852452322,30.621545839567684,33.740856135850485,31.29822430293515,32.9561898149189,30.73972326738413,33.94028240411798,33.392697562489346,28.211181536774692,29.58568906500137,33.38041083391357,32.617613206554054,36.268196564863544,33.001282064549876,38.242711414327715,40.98885972237218,37.751166243559155,38.49945436237893,43.07425020749441,42.49593675596585,39.753651694180334,43.09626480905699,42.88871155299372,43.994242757827834,40.36892921765518,37.614127097731284,36.6688984564993,35.49639732099775,33.94722424720122,34.3695659536362,33.52979546180698,36.849180505259035,38.26936012747189,39.11639994689927,38.87785680027489,44.4366897209439,40.94879104036252,44.554567824575095,41.7117426807597,40.600323090761464,39.14849716414921,36.09106548682748,35.25713633668,33.09958214263456,29.686759598326105,31.2588139674553,33.52346468968861,36.58872352923217,36.53809657404816,41.78904051183044,40.46774552090058,44.42816626902707,42.44826542613018,41.48046673015583,37.38491186691275,39.68360369250897,35.95595832113214,36.994812880424035,34.96270435125092,37.5104313167778,35.45934827060942,33.91094274375492,32.71235957091508,30.17912928655069,28.878085434811045,25.43972410465574,26.987552800589533,23.802589695036737,21.977750971510922,24.285919555213276,21.404464274265493,20.173108210857755,20.704561760677436,18.00823366827876,20.89816919308976,18.38744320371441,21.598508520768256,19.662333259773362,25.6025017064652,26.516948795929743,24.70251743696008,23.358080463654105,18.893578515009747,17.967181017852415,18.331722167330923,14.669794933511492,16.80321905734044,15.846037713329219,17.11111636299479,20.17715524215856,16.832994261723414,20.818505016368576,19.1744800546917,22.69117540311273,16.948629461883435,15.333678104542068,10.878064524116041,10.804452838767176,10.809867068806057,14.1113244193688,14.575184933760603,18.39049764381196,20.751111915250977,19.004687653336326,21.925682011084326,23.765732575122,21.039304460667775,22.974902391673396,22.97052203130694,24.058730801981554,25.906548711297187,29.127628078688147,32.76772097029139,36.06188536966333,36.28227874216256,34.18449978241979,30.963951451182794,29.42781302912333,28.61012727574739,25.25504940724368,21.364516721137807,24.64742910299208,19.600368993929845,23.596577362944195,20.245444121231916,15.255579492099764,16.086763038063943,14.902954775466743,11.909161792446076,10.236274920957886,12.636397965424756,14.021212894971177,19.078903830111265,22.621721959852913,25.798187348802784,28.51474497765451,29.39855310502373,33.62238212923428,30.584058553077963,30.712850786363987,26.856763281356177,24.385730260665078,25.156343171538833,25.450647014057207,22.739981413303536,26.090729545773357,26.219983220498506,29.250894589260135,26.011936937590328,25.463912368902083,23.952506629451005,22.330554606419774,20.238234332545503,18.523909583358044,19.433714996276684,19.924230013000855,16.64290172466321,19.87249813499999,19.25952853786117,21.039641738501867,24.36757086762971,25.749757077591603,22.091451177727706,21.83591956244898,26.28352668270036,24.928418378670884,20.39291938168498,24.748218860053512,29.24689213581991,25.3482390091371,25.547430394693347,29.50295941467953,29.509086745270107,26.782917904877586,29.178752805153454,26.31650849060761,31.943129645485815,27.199868390100445,27.533877741397337,31.656947134915562,33.66310710580301,38.27611218769058,37.696006250673044,39.22564163497778,36.12483330572741,37.50291949430639,34.80296891600603,36.882521390632135,36.08027239643729,29.986938586822063,31.5593187141278,33.348422570382866,29.36106649907859,26.76530972703965,28.11010267733169,27.635922075489763,24.314238870619263,21.670117199714106,22.06188987928963,24.896068746096372,28.469131491886195,30.28120658257397,33.14630514193216,37.23997177966809,34.99491784108389,30.648710505931703,34.63138785577079,36.356218943293044,31.736228977445066,30.91290663093541,35.083929610931584,34.5919340826533,31.278154759002504,35.15825021640505,37.410216822688355,34.46019272252025,34.26621044292606,37.39186136380308,34.70548562776985,35.88648990580106,33.474517020729316,35.51689284819129,35.34989188089014,29.887549231067005,30.78698905103621,32.09383722230019,29.762665042473426,26.050391395523743,30.37863843210001,30.06160977587465,24.809260725018977,24.39788412832444,28.842181271831468,27.64659972634833,23.874986368868832,20.96101811077788,23.488650042027256,21.0044211633111,24.962494169998205,21.066156006886523,21.301112729548667,20.708552408394063,18.325721827630264,16.44693419129247,16.28939025528966,14.839489378694621,18.02985564394263,15.470841448125585,17.29772760131458,15.564031228002722,19.45232343716509,23.854132624851836,27.125221816468894,28.147713565696773,23.599900153358636,25.903615774551426,29.613292107462488,26.754259709555726,24.973812478586787,28.477475542472366,32.61196858177971,34.17771416407521,34.72490477034514,34.97610175530517],[27.579816924086675,23.858884950986702,19.907775958787543,18.197458464411024,14.409779278978064,21.061272239788515,20.91847408452557,24.481077377943702,26.67169782749942,26.13678694441849,29.87302351075515,31.86586862695939,28.19833499347471,28.653709990224314,32.844283654982036,32.12515876722112,28.565191329483078,31.931449659185308,32.50905489579641,32.50222409990041,34.871697196899234,36.5848468751973,36.30082210491914,34.48496382293399,31.362414009817165,30.31190784381548,27.900756086543787,26.660226000230317,29.46274398629863,30.406999718197913,36.51324296305163,35.00296077193369,39.566837633750986,41.8108899316556,37.752695294103525,34.985854936781074,32.99733375465407,30.849074732614298,28.21413094691894,30.55038326248527,27.891542959540292,31.85231005174574,34.69608605325662,32.4564265995894,34.535263040434316,32.54082963730399,35.49293172705494,34.46322910422937,29.376884902604253,30.30012263184552,33.7196914057922,32.47224238647315,36.287379727779324,33.07478130452909,37.950438582133195,41.171176070836964,38.370348737273574,38.84780359534481,43.380150932061305,43.2367495872277,40.820994814993995,44.20638443028932,43.97248959119369,45.569817595428106,41.92037902379605,38.92449550371186,38.64395999285377,37.249349066553876,36.2985006172582,36.52073658921934,36.08467533190235,39.62088342700654,40.583150897944115,41.43300502509669,40.63807628727765,46.01277825500033,42.212787488616954,45.50040415015259,42.40244585740587,41.12246284657909,39.15841564765199,35.821708709298285,34.486398018193576,32.090249452094085,29.167042502997663,31.011963544664773,33.85780639353243,36.56197484349814,37.30122083309425,42.367484968984975,41.52902598748573,45.74558853822016,43.735783994613136,42.496000336606286,38.45469278227873,40.91918858650833,37.273311473314735,37.568333226767216,35.24355938611858,37.1805624325734,35.13510419152999,32.79938674082421,31.83281583961247,28.561886276035366,26.733322247503537,23.18238523529104,23.974328955561404,20.419407745779964,18.70060047938227,21.603126176144805,19.268516366874714,18.83467554261535,20.285104693813523,18.216336126291857,22.033911751862657,20.156761538839746,23.5546368284969,22.262107119225924,28.303723373060063,28.740728097529903,27.296817799578903,25.64538192324218,21.58831914565154,20.005097437217813,19.587208444042098,15.268505687529391,15.900176023455288,14.45684149220026,14.610613638899567,17.487246414927217,13.270812283064327,16.955975885777967,15.794919277921473,19.725045792532914,14.408434608264267,13.731870831332607,8.529395915305916,10.746406168955168,12.46182745968147,15.437192346044153,17.31220978295184,20.77088584413264,22.83982956577079,20.613098124200924,23.01415545006565,24.626015203905272,21.94171867304827,23.31894570404368,22.584747066409573,23.829805469253316,24.841803738437292,28.537397043506775,31.58125888908585,35.26189984573777,35.77880146364935,33.47625111587694,30.589081234761416,28.431377243973692,28.188628483668925,24.031692438724704,20.645820566976134,24.575909346297745,19.983743782366894,23.51108043722609,19.758193258654583,15.545078399600229,14.946287006835899,14.101553548665668,10.192242333046686,9.734554241719286,11.157456896768922,13.533105374462412,18.04242663218176,21.518695145319125,24.84384071799124,27.204886924705292,28.778074795230587,32.44773762303115,29.558823405525064,29.143191801089966,25.420617268060834,22.42994467449199,22.749610639323315,23.03140757445015,20.81712705017924,25.029861239869795,25.932205784533743,28.777821892546182,26.192764735997606,24.733117874051633,22.870688206632185,20.913244708767806,18.03427905843811,15.720997842523207,15.975733875087439,15.807657255890163,12.35350927521878,15.331864065620007,14.68291252119988,16.935795626101093,20.012712500254864,21.862507611325455,18.52411125417874,17.912049010567443,22.398888756175655,21.69006107032671,17.375180353634335,21.328746366579807,25.995683754892976,22.883694993157956,23.01623878703098,26.807658715309593,27.313459688480407,25.07135340782862,27.10309075725041,24.01629566992995,29.198566545528102,24.24650894566422,24.161655051749268,28.206509061969527,29.74730665302309,34.45346157719594,33.426692925589535,34.83506484106911,31.631482854776845,32.88427352541254,30.238085379490453,32.11642414709318,31.33403990819743,25.31163534264918,26.79557021315576,28.480715458157892,24.546632705861683,21.93233310719768,23.26461937183284,22.835833267597035,19.548917291303024,16.85207184154716,17.334708488444715,20.374246718192822,23.860386813398208,25.824260650019323,28.86485297591774,33.03388287495902,31.085496297354048,26.636574322067112,30.6659626468277,32.69874594232349,28.31690371581848,27.35571556735407,31.74792467094564,31.615482658400744,28.309661280210875,31.835900632174273,34.40588617805716,31.934062512156405,31.352384157990446,34.18890361200625,31.285337380900213,32.1062096705387,29.52925774640391,31.27079532974689,31.36312063962491,26.066061091774742,26.480974025374575,27.831563135153427,25.76003172619322,21.76239851077409,25.850012708113578,25.88891537003884,20.788496183702346,19.891053589237803,24.420929180166937,23.669349751373403,20.04036570950703,17.584866388096458,20.382605404376537,18.63790914039374,22.391654770944,18.985054185541035,18.605791428410175,18.765613498937025,16.9443673656029,14.292931040285271,13.717563120326002,11.425004113776653,14.144717557384741,12.14708828308029,13.521588573785493,13.036259754896989,16.96928946855162,21.13530453027023,24.25691341221377,25.861233158890073,21.634063033715965,23.69593063295476,27.63440913483194,25.475701457563517,23.790900919706516,26.778773113445624,31.057995873269,32.52219359143997,33.012489942569566,33.37915024999545],[25.272269019228226,21.614630721024888,18.0472331209959,16.311155012612144,13.514971774673652,20.259284563532926,20.769028027146422,24.612170916502752,26.693976836326957,26.623394364288306,30.40436107604052,32.46525823162682,29.27588453522705,29.464529687667515,33.94631057433013,33.50637322001714,30.122486687546406,33.76088414797954,34.52498478045484,34.85586805285652,37.35624222974988,39.34469350890578,39.05227366159196,37.259065892629096,34.11549662277381,32.75058823518564,30.422827799635186,28.839379119416062,31.511786707264523,32.267064255950174,38.1949688185471,36.677351286365955,41.19998747807202,43.7283279918425,39.81192839958546,37.15022433191347,35.16757358483366,33.3745381151822,30.94247075009866,33.63339410946941,30.95395024613077,34.66528330314099,37.71566225925861,35.57714248602313,37.639598495666384,35.651283825798515,38.71721210201597,37.753733155361104,32.64254104142422,33.735416224105535,37.164847564046106,35.9371408530138,39.67522994224582,36.33119187553777,41.22661465161795,44.4820266683667,41.582530734940235,41.90655017582851,46.50733242522188,46.43238203618871,43.80800567136864,47.024312913569446,46.60151999700113,48.222006722097504,44.670337952524605,41.56831166583688,40.96123867636854,39.36697736409976,38.12888675870271,38.073832494554836,37.5155051850831,40.94744258442548,42.132256208425225,43.31702825553122,42.56033770039924,48.16205079785203,44.581388050112,47.83843016854646,44.90807190137333,43.87178977972915,41.836940156068394,38.70404835394768,37.148492857327426,35.01414512116232,32.11253459909126,33.677942654327374,36.55572022305539,39.016059845486616,39.72840753258522,44.60728098076068,43.60073174114174,47.71038848203236,45.47707645116599,44.075618005673526,39.84916056060452,42.068038636972894,38.23411402206326,38.77425264910946,36.26748614841998,38.007481832949395,36.5414292539206,34.06476034438964,33.621160079362745,30.15581284682933,28.837051624075933,24.890008430809207,25.58485223536288,22.05384092877916,19.712989629711398,22.67752138311519,19.905839698891512,20.10778620232951,21.082492305497176,19.49207844408491,23.26404871080249,21.586053332477405,25.268837461624113,24.100784314448443,30.220606254590912,30.427896864817047,28.66690117342952,26.746452210316335,22.55704513591958,20.794969340789326,19.995028872861475,16.203792069579592,16.123644879264916,15.599519235212947,15.84012355979038,19.394770347976582,15.072359841230355,18.91770272313664,18.429316270583143,22.211996721226743,17.120736517974418,16.083120688288076,10.565671509996871,12.907333214348364,14.313082912115169,17.735787832309033,19.575568041920977,23.44186038637067,25.337167964591316,23.03692471477655,25.668863110107488,26.91751497560436,24.031006113719357,25.077288852725783,24.17166677161815,24.8193509507063,25.62880425154466,28.956821313408728,32.03677678444777,35.25793992315334,36.179684840116096,34.24680394686168,31.561070767363546,29.552246249609738,29.684232726354512,25.706974830946127,22.835059625672134,26.961138126531605,22.64140070313005,26.401010682893073,22.9282084735612,18.816836937718957,18.39571697441868,17.644665199111405,13.709538707519384,13.091289756978549,14.383032123200028,16.428607187693952,20.9731167185585,24.31125757681005,27.451420878993307,29.55066293660106,30.923897543022857,34.75473596309152,32.20615163498942,31.77129098822218,28.37877357020017,24.921733358841497,25.63232597291036,26.145225238646507,24.016512422017236,28.361657398604034,29.17728348681413,32.17959769793399,29.658090295548522,28.264426371367108,26.409425801713777,24.389700991345215,21.43332801994471,18.93750766700358,18.869206463513834,18.204433462712913,14.384762114439363,16.73151487482685,15.165901801907639,17.5152758476776,19.955882956666276,21.81481081710295,18.414476025117114,17.09840866159186,21.525088547152397,20.69522534265585,15.702474131097368,19.63392467324723,24.56131653955773,21.042996606273636,20.77102848145234,24.630593052689246,25.27670361273806,22.63496613007844,24.413244848287803,21.283022425042127,26.690817285137655,21.52190271859766,21.895389681541378,26.037415736460407,27.87014377339045,32.55831044463407,31.956226584208352,33.674629564757495,30.761390106381796,32.42567615210406,30.11873090139613,32.19664025163907,30.97260321748724,24.98208469906979,27.044326636804364,28.62860320775509,24.362768133603264,22.149605106902555,24.039279197247858,23.00642875944679,19.316199898073936,17.75409968232207,17.409368390663584,21.277996911015354,24.554499965728827,25.976856134938306,29.307146232010638,33.18859695050417,31.51946296952256,26.875798024332607,30.36674723435428,32.5781151386004,28.240371819337128,26.74971433202679,30.980638990107874,30.78643803194905,27.16973671848825,30.60114748844947,33.09527906617094,30.396388902935286,29.601681546674154,32.503239795971844,29.618541968211638,30.816090280694397,28.631500669251235,30.410108111475747,29.948236849450165,24.63673125883799,25.575266975639497,26.515477102947184,24.11289269352035,20.572165597752328,24.82658870152073,24.225952598035832,18.977982640213575,18.843205061414665,23.217253993855778,21.832082933970064,18.015937538549853,15.081665022769041,17.787350272870196,15.522581391705394,19.356997021230253,15.801428754955268,15.952998218735399,16.212162143879887,13.81262617066974,11.3221765168511,10.673595807596769,9.095347551334086,12.55187634625745,11.177604092241046,13.608647604586011,13.17694169061427,16.262987117037365,21.02939773800262,23.830727290359388,25.729833620424657,21.201693888617744,22.61462640970401,26.711971266149845,24.867078836606932,22.417653109313434,25.19409888086526,29.5510989057757,30.888997027980725,31.245565429143426,31.458898768821328],[25.441578623632804,21.873850326205307,18.505714743935123,17.549130998445104,15.418918907065459,22.175517206584107,23.2653192039718,27.022408829891905,29.347744774560496,29.721302689098874,33.51414111659096,35.39642537142421,32.53985472685875,32.836106752859834,37.35797254353214,36.92479242599798,33.72390270871217,37.4717783527928,38.36917870709581,38.644965786352834,41.188287634093555,43.09858594564993,42.835700030051264,41.03180874191877,37.9038300235796,36.61158612887409,34.222913403025956,32.61897450978085,35.172335166008054,35.72684303920244,41.73148305720279,39.96972966065451,44.46341975433259,47.13959857426169,43.223675346549264,40.71202741484668,38.52673049006252,36.95192508702371,34.51619714888501,36.966193550602085,34.522717263419764,38.362185366240425,41.312151388613344,39.162067656047896,41.23873922053534,39.20123226029343,42.15012987149934,41.18558427433576,36.10315656857723,36.908783659502994,40.329115972578535,38.99092847308479,42.844380787849325,39.623693692221714,44.36787152962064,47.750296377577314,45.02363416871902,45.33718542295466,49.892168538320774,49.89507677096158,47.422496703510575,50.67928447707814,50.26374881224876,51.98182102809055,48.416651824866264,45.28683645422228,44.79249914989512,43.14340590821057,41.95362776193082,41.8006035445535,41.27026531992449,44.6891806020144,45.87850572819717,47.14353492209199,46.297505616804365,51.89556632978931,48.27729294899567,51.441491897123655,48.46119028160771,47.38420051869427,45.18282918076213,41.955986116857474,40.200993254922096,37.97457882070657,35.30164118386996,36.96724111524904,40.03259429257205,42.34037965694002,43.30769992084415,48.08792166269135,47.196248840692114,51.3427943255954,49.04492355236738,47.51628659402507,43.255250959061044,45.41661433529001,41.541331450335996,41.948351997938516,39.27110085714593,40.65081465838606,39.46620066650305,36.589738377755246,36.46374418606271,32.59880096328268,31.161196652095203,27.09585945980528,27.222992243430028,23.502472353971122,21.04633037439047,24.39123227533577,21.82887221371485,22.758757892903667,23.90758468396548,22.772707494163704,26.739367546190582,25.278159160082936,29.042265926249186,27.972189546736683,34.10000995973069,34.21992263112756,32.43208194077208,30.39214628234877,26.23716105163413,24.33194755128992,23.21054796523158,19.549217690810444,18.601922643056746,18.323950226858393,17.995857396368883,21.53816431091983,16.7213314918643,20.11865332156234,20.169283126142606,24.17974767239024,19.57123918512265,19.04201831592431,13.409609342759211,16.470613976140935,18.13306471493894,21.51829577709938,23.443347891740885,27.22499458164257,29.180745666930044,26.842559342697513,29.373862886597152,30.554498906348115,27.66700508043792,28.47259507133576,27.267669614045936,27.73460776423933,28.066854146352252,31.3649334400759,34.131132717877435,37.2170030972856,38.525541765546095,36.7263227967546,34.31958634650403,32.122012013491364,32.66436674819363,28.448149361178494,25.980982658699997,30.33354631925672,26.203462005190822,29.787699614169224,26.14828629549679,22.21874045917852,21.27935595176361,20.323427622626976,16.270032079482384,16.364088810049143,17.411264177299234,19.811161143368217,24.07252145815698,27.33910736173864,30.499450151437504,32.375919030857055,34.007356714448136,37.587515378479424,35.17873214946335,34.473804086361945,31.181801375063756,27.494401948094254,27.90497555482505,28.316597839582872,26.54448264849032,31.218355828009035,32.38515284409023,35.16661484203821,32.73287736318038,30.972911712093328,28.82865086435863,26.91092740397867,23.514103826864776,20.85330277213643,20.281391156010855,18.905737762071972,15.28462101856564,16.948972518574134,14.874334364656997,17.875918421037614,19.371462512695995,21.784780221299407,18.78930856945775,16.426777619870297,20.69035200375189,20.485522880305325,15.135498197481592,18.38685518522033,23.734358984432564,20.588098195944387,19.704023174059028,23.39049565957334,24.68984609846261,21.977692793815805,22.983490459906644,19.61238893323234,24.799631053757604,18.84634091090172,19.631648828411905,23.78568135840559,25.291616400589827,30.125682278154258,29.375856349481836,31.434481535798383,28.78149461871676,30.735403420369575,28.93534927674006,30.763263177536047,29.0642276177176,23.388115396458417,25.83254280477099,26.873296821600363,22.383205854548063,20.730220240829784,22.849693456817505,20.978890646369823,17.17353290775143,16.84889719774482,16.28586302305881,21.129574940365842,24.046447949230195,25.28440316790172,29.026227079232566,32.72845312834006,31.62903773143486,26.812138173460315,29.847111790897266,32.50930416365128,28.506963136950922,26.450885954433797,30.671532748688616,30.74869575036528,26.896774852261252,29.824128913385813,32.50940419109634,30.02337123773628,28.635101874155854,31.277344965511165,28.20504861587201,29.44003684310636,27.550774910115138,28.91981362509054,28.105576106756207,23.101913839220416,23.981244298423277,24.334953597795387,21.892757826325955,18.635139627054727,22.44137743285975,21.34026597428323,16.284947696417984,16.372312506721844,20.26138007722997,18.486651019719524,14.70414430242659,12.00894213201011,14.123212766583235,12.121825802808132,16.28915780287155,13.449662490531045,14.120551106612643,15.43880242505335,12.643103112049193,9.846315053999769,7.997546668113773,6.946783179245603,10.970434243430141,11.447038635165498,14.183208540197848,14.881422164198982,17.17234532830188,22.0392968458354,24.3872659989974,26.89614926930254,22.484898201870354,23.13609336135356,27.433032590787608,26.325428112265367,23.351879272234836,25.509837566439174,29.929846299091505,31.013119908702816,31.124373969081926,31.171420178351017],[22.482794463190174,19.037790867090017,16.24643767612279,14.815806242827437,13.819653505932148,20.223635486073874,21.710447791061597,25.723242152978226,27.69451180432542,28.337644952035085,32.09086568093848,34.12505588589702,31.672274766994914,31.60103099665982,36.3537278680781,36.24200227944952,33.18608895156988,37.1344053545875,38.1849999265871,38.86411979307677,41.536585762035855,43.81014832979963,43.54470572280295,41.81756167114337,38.64127193582201,36.9460547145379,34.678159622683204,32.7041472529132,35.136626079438756,35.58581514005825,41.271358006492555,39.6703912999738,44.090129306648215,46.990409935369165,43.27233463473103,40.81147476461299,38.78146495371692,37.49705451411611,35.32197333292073,38.34010518312583,35.73888280209495,39.18307686322578,42.43365178720238,40.44559568451034,42.5245400960133,40.57629187695654,43.742649164186005,42.80302081018445,37.69013366573317,38.925982114103256,42.31981969182507,41.06326244806338,44.72124600800678,41.23885675021438,46.100135490614484,49.44306969133919,46.48068476024053,46.5859731887607,51.25070323405186,51.31213631310451,48.47450993967291,51.47469588208297,50.81364447963826,52.51081666176571,49.09365989460221,45.84872780199557,44.91233834478699,43.05533892831627,41.53110350327018,41.09962606566468,40.43522302868778,43.71788589985704,45.12969230103447,46.73907544000088,45.97421897161377,51.81078669445083,48.494527102094146,51.657506898596665,48.92743933215874,48.18289189185069,46.01120084208569,43.11511913203335,41.24237073401469,39.41580292951,36.618815489471615,37.86774282792575,40.82584056291058,42.92682164616923,43.69078010321238,48.276585265410155,47.11813856526067,51.09067471344493,48.57705375486837,46.94256954342053,42.52179503946015,44.40813241866743,40.37906993445247,41.149965350693165,38.39917848762282,39.76737472674693,39.10335436855112,36.38073565690171,36.65237535575804,32.90615518678699,32.1866061240629,27.822090690339635,28.28002737368547,24.84005173507783,21.82768227756986,24.82513469745186,21.67815444642396,22.78108951336341,23.228724989596795,22.378424831239464,26.05474485031044,24.741809367043487,28.681041496660136,27.750026597606347,33.862044665844685,33.73493200872801,31.651646910846672,29.4027621038808,25.215834313796886,23.229546466960638,21.890387946139537,18.905498439806568,17.749092219075038,18.356277473271895,18.545014714031893,22.688687421449004,18.35024361452682,22.14988170252541,22.48035733244905,26.051623899697496,21.384784653090048,20.118189201288285,14.56898866180674,17.067388366129517,18.23854546460927,21.938307834507082,23.81232662814923,28.01293489808347,29.665423054282382,27.274624828773657,30.071934925888534,30.864436799111125,27.801564843588707,28.373643008921032,27.200237716954508,27.095691626292982,27.509538273925358,30.30262307884173,33.280106585441175,35.833381857844586,37.35232388217356,35.943981216907844,33.625295311351955,31.778677886280576,32.46443115925661,28.704599472126574,26.574271570811888,30.917441975643104,27.02220901047346,30.938951258755818,27.763758050655234,23.862902909796293,23.486165038243463,22.852331459235998,18.854861222045525,18.218983093189742,19.303581525669834,21.09371487385398,25.5298194526886,28.660705062351308,31.5626587152904,33.28250150935328,34.47258823120005,38.38796187080429,36.299445741613674,35.7842956941079,32.82620735300579,28.82623237148914,29.919778800050917,30.68351981947527,28.723648183633212,33.2688085434607,34.06458599187885,37.21209212056855,34.83265977622356,33.42360288862057,31.54504381555179,29.436255216030055,26.34072902020932,23.630747510399615,23.166859387713703,21.922188788211542,17.867231582570813,19.321628875573452,16.703948733900653,19.074129859558646,20.4423483082794,22.29031473670977,19.034832337489146,16.68994906003117,20.761837286715508,19.886348062266705,14.122728125968079,17.676473261094,22.864184344762844,18.92905709797441,17.925521246551103,21.742847997254838,22.70524364857207,19.51125811334909,20.694015315746746,17.52340236722552,23.141595483009176,17.64489852120727,18.81103935766745,22.992620455458,25.213149183356887,29.80129207309593,29.83754147443427,32.00714307279661,29.598170116147283,31.840990435857947,30.10425242907817,32.39515444682148,30.548495960132414,24.791862722611494,27.623108823698026,29.000873330601927,24.39301084324097,22.853543959095894,25.445552067860977,23.6138441309122,19.523082740181025,19.630228685570287,18.188809380912456,23.01079559458125,25.86210552283754,26.493651403665925,30.168237333322125,33.55824646391697,32.370453404960855,27.554599991041695,30.166676709705893,32.63785614464293,28.508414272528615,26.24912579670248,30.148872123660798,29.918807707566106,25.911706087766248,29.045174940912947,31.414608978427694,28.480398841239985,27.289084648812892,30.191569174923835,27.361563073115903,29.09297716660795,27.563776575531055,29.30890317714935,28.0087820687029,22.85167971636486,24.530911783785577,24.784871044650167,21.946919319587828,19.278110782192368,23.586213852129763,22.00322335853101,16.74770774756527,17.847833641864533,21.764439718676694,19.432367318841287,15.487959316573015,11.876412290223461,14.285965700604352,11.119481251825238,14.969364040305855,11.302348648274528,12.517466833403033,13.120772637265059,9.715977569181463,7.69331516672706,6.819123296507912,7.0407116115740465,11.28262493339977,11.28006657040928,14.872640848525796,14.745589253173662,16.320585742027994,21.633020267615674,23.813268314795206,26.15838067476516,21.43116276076348,21.739034676543543,25.966392300220406,24.774469711800922,21.246339463620096,23.48138267854996,27.849239805194635,28.913783634081845,29.004753179468604,28.940518140586754],[24.037841784030476,20.852550453591967,18.867422629416865,16.21004130130275,16.164712668003197,22.061195631029033,23.33864860000417,27.70638686354612,28.935378992610957,29.167641965109002,32.82710278511045,35.370567742346346,32.76565643203989,31.997960730895798,36.94489265466027,37.161685063714025,33.79300671517422,37.53552907079611,38.06553358743,39.212959542348536,41.57177855435576,44.08131493915016,43.47433121494398,41.479405717659894,38.603013824439955,36.742356889741835,34.98630932580602,33.12843961415325,35.909484128748964,36.811823639284164,42.07249590156461,41.11712362926621,45.5232573207721,48.254602373729064,44.643522968197864,41.872091889300364,40.35609655452196,38.6229163230711,36.44135447544773,39.802136722543,36.56364576565488,39.76591464801894,43.160113942775496,40.94140349480368,42.625157295418596,40.43114138995807,43.71317018383964,43.228049445933884,38.05234871735702,39.46193455727101,43.21964308229322,42.338087471844055,45.96500622148089,42.54147863371649,47.67898877249335,50.637040247375815,47.38057069864397,47.794250992902526,52.46519372304142,52.118436066903875,49.11300447505014,52.1434903051824,51.56198664764452,52.810988380085476,49.393309857056195,46.40171568486107,44.944606707603036,43.322052852127996,41.279179921602065,41.031166255258924,39.98812757780112,43.02731558457336,44.888140142533665,46.487347734229715,46.2380099854841,52.20565911918451,49.143276938039165,52.58165078610985,50.035698037987224,49.36843953892452,47.61692978304213,44.85837959285331,43.404947938248334,41.64118775298917,38.48329668330452,39.63886881472127,42.163964183173924,44.60421844984879,44.75308454392777,49.520837968105454,47.97837352032992,51.73215108937233,49.256694261869,47.859629810364794,43.39392096235061,45.119035622466875,41.0092363859367,42.43248200464524,39.91379982572412,41.76637430290023,41.10533827877914,38.972558751481806,39.03386222194357,35.80379677870111,35.32240041537825,31.05879876946087,32.001036880763735,28.691576841699245,25.727308367117583,28.409105611570777,24.926050795653715,25.41421084989961,25.253039056382878,23.92235551232089,26.90512111068926,25.114344482975568,28.875632993612935,27.420710708432843,33.351501677527324,33.65623567570984,31.24582085574384,29.262562537540024,24.759501272439174,23.32815761268831,22.57897621129441,20.158350382543816,20.10268687749017,20.95111188396931,21.832421856499085,26.01954984185772,22.01160116759002,26.01664692983979,25.816287092744027,29.39902337959474,24.26992808215718,22.591758292868835,17.259937711510908,18.58971332403663,18.772566269052092,22.617851135857144,23.420937319363738,27.717154055492006,29.665789382716586,27.69745263704219,30.829939080258196,31.869690236552273,28.80118884527222,29.818036900462673,29.18420359891239,28.994245352699263,30.040351518588132,32.47500908501109,35.922940256307086,38.1322989508657,39.45694072013051,38.23364874920728,35.655484779815836,34.27016441986413,34.51353930488705,31.28014957155933,28.690191503607988,32.58968283032281,28.285748223249467,32.481710526940745,29.414472685954646,24.890479900981926,25.23607121392013,24.132143429748375,20.565423282603902,19.540407977274334,21.28637782795624,22.754906015496687,27.601516537911802,30.88349252123857,33.790313934205386,35.835493296142246,36.60375756075568,40.9030745372585,38.60907231128535,38.45075849192122,35.24638936939364,31.680650831183303,32.87593462146174,33.504311121489096,31.2121159866539,35.24034345766224,35.59927268056756,38.759960264452076,35.7816445586568,34.917639999073096,33.125880974419836,31.371376764443557,28.619288747532554,26.299575449409687,26.276461682923312,25.457694830344114,21.614436405414704,23.524404445399128,21.201681058007726,23.455334001999773,25.080291085341123,26.734132424834453,23.28827664047253,21.218429539564386,25.240412951746094,23.992224849698243,18.14885734942806,21.854185775059094,26.88474902388125,22.37831370264941,21.321502238724282,25.171269470371364,25.78792241207482,22.07910146821387,23.380199046610606,20.473199230424772,26.365250966839866,20.92524212575789,22.658254260178918,26.805665649860348,29.25639995849195,33.75295327721835,34.05839099080061,36.41464584497681,34.153866350141236,36.49916564616871,34.811178464742724,37.08657259744859,35.16833258725648,29.476386893133068,32.303614098592995,33.54720982698289,28.917518681724832,27.4403848180564,29.851613686335625,27.840018197406643,23.88095902424585,23.897521775598666,22.809373484788402,27.51428160938286,30.47337068802173,31.168711167491498,34.77230493729533,38.1614266519092,36.82137831061878,32.05339203969335,34.66275433417691,36.97360191521153,32.704243383285736,30.52548594993454,34.25497950459818,33.78319378037514,29.757588231660346,33.07203979057818,35.19308478459298,31.890994374740348,30.926707185027695,33.99447557555408,31.33948030173613,33.35516852037608,32.0070726344566,33.8545777451584,32.31742253881382,27.181904435687702,29.120803785797236,29.212540748660945,26.24540181448936,23.847453138854313,28.05888661626349,26.127072881179462,20.999933237727074,22.29732685836245,25.876877905885785,23.1621659251447,19.304442901863382,15.707383925376632,17.22345098243711,13.547670972273188,17.679536688855165,13.968496681664247,16.089200683020156,16.0999198974893,11.98176273929443,11.102220108817551,10.446419584523149,11.491010502343343,15.866173003204716,15.475109644986706,19.120965382589944,18.199982772334607,19.90934373313248,25.361004360156556,27.65962299719632,29.591472439918203,24.62371602198964,25.07602610876536,29.10971102730363,27.405423659713907,23.688767695052373,26.28442492063949,30.483806528375652,31.573194480197934,31.63158380597669,31.36212978163969],[20.482968858511285,17.31439021274799,15.522978737562653,11.697176714416196,12.081249184002674,17.250524675287583,18.34987346502378,22.883701270950834,23.63866798510902,23.8551161608353,27.44013262861608,30.127785819981373,27.756254037677866,26.710834410129245,31.760712935336468,32.21834498468572,29.035837433507595,32.95021597363548,33.78705040579614,35.24600742495569,37.84938989055561,40.72090084846246,40.28082830624259,38.578895158314886,35.508616389385004,33.18369235994132,31.41639435288739,29.09089820100858,31.608540359129737,32.35910837536386,37.2659223223069,36.474225999995156,40.772152560345916,43.65929111157299,40.27161805224146,37.594681816825116,36.25524287034429,34.89838367563494,33.09080628021659,37.115263885422465,33.867164398871324,36.510668207591884,40.231077957250484,38.382200446517324,40.239019706651156,38.379249425604165,41.911991971354325,41.21466976975232,36.11339263901213,38.190332601586704,41.64658891782103,40.77759104793895,44.02267293675422,40.19787545009846,45.3861580201845,48.33553573437259,44.839012852795875,44.84924211025919,49.626807361980326,49.49209767558901,46.03426227313544,48.664078399807565,47.7516602678075,49.09970326882804,45.90989095274635,42.71437601569607,40.89446775313431,38.966757983274846,36.74382283356843,36.15753784146968,35.11674041611072,38.100516466535964,39.99085525501992,41.92501263647971,41.60356922594168,47.743581606462364,44.97934430357558,48.33711664535751,46.070229196635836,45.80402178914654,44.06756219358567,41.76029826688157,40.19045456231204,38.971376926022046,35.69456461155428,36.2895601914796,38.66252909314703,40.80710678674418,40.75390970636969,45.2424695947113,43.47197875585502,47.056038301961074,44.394202870135324,42.90447217747367,38.34987149646004,39.87174637958586,35.69152131471658,37.38474359042229,34.892982199999096,36.89375779278086,36.530382679909565,34.77936597470094,35.04599254417128,32.21021668435262,32.53710345821465,28.15606364363144,29.75205503514635,26.952389317703346,23.66113577752273,25.635853077721528,21.61691358956047,21.7731572505831,20.808623219365746,19.609744095641894,22.147310216846122,20.59143274938021,24.47108721533766,23.401907451810427,29.250679167392526,29.092601986205988,26.514142808525154,24.27982915141574,19.92179909909407,18.32442902595588,17.418267519251323,15.758059204941228,15.992162318760812,17.562301641280325,19.252104042826222,23.802615396943775,20.790502441546177,25.244371062842937,25.11304761426709,27.919991176989505,22.77520698328632,20.149726764552906,15.472992506002688,15.778478443681113,15.380377725333224,19.34680901763966,20.45008859908512,25.15366089429979,26.406334848264272,24.270704264507085,27.56707810742767,28.024380472174634,24.837127264965307,25.567058904359918,25.075884884824735,24.412126622706445,25.78903397971325,27.745553795713178,31.527015571727294,33.399011491695504,34.57285488291966,33.587139093541126,30.958673565573385,30.022529085258665,30.17863482331326,27.596816394806666,25.29739578958018,29.016451318899062,25.172432806173564,29.644233356972272,27.352216732664733,23.24533525480688,24.299021838377442,24.028900943995104,20.61239414394257,18.533713597298362,20.039955050238888,20.530127750971232,25.34492252874657,28.32077507140595,30.806627640774195,32.6789000325695,32.855288709202725,37.51619399353213,35.59202722518929,35.74405023044656,33.01690610298753,29.230897065487216,31.342958463397835,32.47823570850917,29.91032010922004,33.639310993691275,33.464789515808846,37.168586593459395,34.57490876223033,34.1683859479554,32.92923792171404,30.73116170959769,28.579475576509314,26.22101594010499,26.480947265745844,26.141617851362263,21.79602193524305,23.782980027203394,21.40530437202749,22.56456773955476,24.7876983759682,25.469783248092682,21.625995366436555,20.597532842431747,24.482272701539188,22.214056356091398,16.82571898404019,21.213449866772585,25.483600296722347,20.280799514400293,19.96564885923493,23.93664731106891,23.547379958450446,19.86121356316496,22.26449510312057,19.892527897589474,26.002794863323814,22.09533302843179,23.222240637487392,27.247717243299384,30.425850826513265,34.54178847670281,35.46141974726199,37.39717773128821,34.97839833356683,37.16116667193217,34.97847877278749,37.87405933399023,36.385152022675804,30.31799057287305,33.030179794357466,35.1391968676156,30.667503935623564,28.699356226020704,31.326232110045222,30.22757357670407,26.095104939119548,25.35013396286678,23.679023853522814,27.453211083420353,30.591174018314675,30.934328834678613,34.03546963875212,37.2910414147291,35.362976285410994,30.8503558092794,33.518090020789344,35.19955108176584,30.607620846328263,28.882360222129478,32.318303787824654,31.37032040012343,27.59057291307002,31.51080173836929,33.19005736413581,29.459040134868857,29.325707448007297,32.78357613426163,30.536704809606498,32.73866438063993,31.29523608203312,33.81700182453097,32.43382013704539,26.93848703359302,29.380132746823442,30.11327330039998,27.032121699296557,24.655223417059382,29.660315262569256,28.15240729954361,22.71483741180763,24.250713818196083,28.51765913759321,26.1141529843843,22.121178633592308,17.932252400673637,20.700281408781365,16.70141607542176,19.76647298194227,14.980414480375527,16.156503558060493,14.481960037234025,11.240280862390513,11.177211824380061,12.404502422831966,12.966157406713918,16.455870974344652,14.239529196534058,17.93286110677595,15.571348779599782,17.12688331114997,22.531115129813042,25.011098993244346,26.199241614291097,21.055475909721125,21.959394070125608,25.612506627810852,23.181865213711305,19.69343092933407,22.935577171695435,26.948744769381246,28.3264841109829,28.711415501381534,28.697905881276093],[19.346012454236014,16.736744684456884,16.293546684221457,12.117926130641273,14.488961737784685,18.44000808139495,20.04389940216506,24.61701851593554,24.802496319208725,25.342338826740743,28.695174225227312,31.5437582022651,29.751387822254646,28.189360139208976,33.37971233011057,34.24949331679164,31.284508513897435,35.24422579230656,36.09405116190852,37.99740191594395,40.579818793223055,43.74747061013727,43.221419932879506,41.53187002105768,38.57900426383289,35.95113409966515,34.45637747116406,31.91443406223574,34.30473239706544,34.994628818755906,39.39086078361943,38.86325561837903,42.989523362016755,46.04070214270657,42.9203088273468,40.308471305713454,39.19688571960658,38.068850829824335,36.505821255115876,40.8814711000189,37.492981673623724,39.76824913808775,43.66353856851081,41.901643809944915,43.63246106663158,41.78614703527107,45.422568991287626,44.871069827801456,39.81118791739803,42.10136716023678,45.59755902099192,44.83503633351546,47.952047541585195,44.043236737598725,49.277152348856816,52.115991411938595,48.46184420717416,48.38911011486874,53.187383713787256,53.02158515813655,49.31756599277771,51.72917638499199,50.64166022858708,51.86404135124416,48.83658989991895,45.64938529663303,43.36256236095742,41.333633722328486,38.703578780136056,37.87728125576053,36.61562177539418,39.30279173487081,41.53146790943631,43.79779752317083,43.68546723155739,49.989392730091396,47.60013025120966,50.95566828218561,48.97091397030155,48.993957328209014,47.35649280406482,45.342683187494934,43.73510995653269,42.81176053354658,39.49008496608574,39.77564752406057,41.981547430128245,43.95772123113731,43.66084598526507,47.92462494223398,45.874014907625366,49.19108121835709,46.35131236618533,44.80869194173987,40.158564357571315,41.30079577976043,37.01183397698121,39.186168910949874,36.68629068180508,38.6328469246952,38.87805289742655,37.314813095650145,37.97898645017742,35.285544610077956,36.15573783692418,31.63584435479202,33.31948204249723,30.713184582776016,27.128519626196603,28.878781802269497,24.59908644906828,25.001525549286146,23.430245154414287,22.59280564581362,24.59155882636497,23.20920003072431,27.01392225747924,26.00132300124792,31.53796683145787,31.252938901271246,28.367538548126262,26.059313477503284,21.833634738608524,20.401555702092452,19.410801327508285,18.788310818025188,18.80090924862307,21.05691556783699,22.915100550500597,27.668654038284586,24.86679879310923,29.333347589993153,29.43021829608183,32.06558736020198,27.03972912275083,24.198749412927274,19.725708927322216,19.798088022381094,19.004689206441327,22.926962755657406,23.67927805823713,28.475133846528333,29.55468591225903,27.561858915914204,30.992013360259207,31.176702672796928,27.964706099547467,28.502669740015143,28.089025916144568,26.87277997708087,28.253312383375373,29.545103211898653,33.41469260754212,34.548864077109286,36.002679423492545,35.528659959200034,33.092270415536724,32.56018894831625,32.87238128357658,30.792267885142255,28.85584177117112,32.428197626384424,28.8380785425495,33.42342486399479,31.443330470813727,27.36277717772101,28.65986603277166,28.373573153476038,25.046981100291806,22.875022724441486,24.412703227508484,24.65899104001325,29.430810772469,32.268689415378546,34.53963128196495,36.258689417023646,36.08809384892776,40.9238635267605,39.27255958589455,39.54447646813,37.05990478234269,33.14425444156693,35.56117997257564,36.8273532689101,34.23080528977164,37.85142664136724,37.46386392975948,41.29399926972361,38.64054173482286,38.451577073754095,37.288856794558214,35.114866501180735,33.04607424109065,30.683828064416357,30.90202549619887,30.453540467897614,26.03255973641582,27.766830609295766,25.043923662619004,26.054591945268754,27.850595561702548,28.307036262276423,24.544359097023335,23.257961951318613,26.75627170883139,24.223886986724565,18.760443480171393,22.833584421339996,26.841104483057098,21.19148834177961,20.548861400323503,24.320619353539087,23.72848550031655,19.541420362185125,21.758122769772445,19.81072275287299,25.964880374311335,22.480206063906838,24.169238412326084,28.003839208865852,31.60198740946153,35.43239340877769,36.975936200430134,39.135475485435535,37.08604896031946,39.582365395422514,37.68477179364186,40.765130030551546,38.99214107065947,33.101162415777594,36.163270220330375,38.22785825986385,33.64600303080971,31.989920888537505,34.90493176957983,33.49192382873516,29.233087863863542,29.137646067028598,27.039416046001314,31.06955003629412,34.01931025753911,33.915581185371565,37.05767140471407,39.9648264814035,38.18611385025113,33.70917821402585,35.82727573084926,37.4544572228111,32.966608824893385,30.934903265715356,33.947072223281154,32.793508645480046,28.91349296003005,32.73560628352807,34.07540141752324,30.00449142485607,29.91409966310399,33.45016985437901,31.47859090805265,34.13702040370032,33.18967198812337,35.81090203568226,33.88152969669599,28.567137864522827,31.576235971433633,31.955050542721303,28.63109769017543,26.93576210105847,31.94015316551775,29.867627537912984,24.608073655185834,26.843083990119663,30.761479323339863,27.829533855701612,23.93600242964236,19.52169544364247,21.867817928175462,17.355568508716953,19.95093570332273,15.167282192270322,17.113749328418866,15.074393994141545,11.420711124861336,12.6070532111863,14.094244914048893,15.640388055022765,19.10208207032284,17.35001723435075,21.368345541776616,18.922638565677147,19.577211310701163,25.04301098779053,27.12278249829411,28.24212338709084,23.061681159583557,23.335641671794647,26.732036173622205,24.465951874692973,20.338026327243682,23.34115041071491,27.04389085573333,28.24325358648499,28.467735826590662,28.15796173387344],[16.99266932633309,14.37025477641638,13.90699623126611,8.843651389509368,11.494564152043463,14.464285664086027,15.868935357412703,20.454492118272686,20.33234192553963,20.9310024704164,24.22347157904179,27.07563900682329,25.509122546242892,23.88645665157282,29.086765036753867,30.063923241424604,27.35266405384824,31.463557750164565,32.689940981947196,34.68556328399805,37.51349894235932,40.854714560586665,40.554795171168934,39.17533603371855,36.0266673815006,33.128685500943256,31.50900216720289,28.61044546315572,30.66761689415015,31.124004388593775,35.30629954018831,34.764378319242475,38.78841923049329,41.97201478158357,39.01158179322935,36.55996424995077,35.48260677592707,34.75204883610352,33.49798962948731,38.234403861243855,35.032255928257094,36.915340567845035,40.97382491379922,39.560758699836036,41.499261441467894,39.98131612132168,43.72660804560792,42.90964773271975,37.98072639620305,40.67730564916224,43.82829832813328,43.000411555517005,45.81594484205256,41.644745623281736,46.80112479968203,49.69439078669248,45.96585263566186,45.52852940860767,50.365113896072856,50.45033800986972,46.48702094997737,48.582229439778786,47.241161227042156,48.644190769188626,45.80309368129402,42.424419986594295,40.02643991388831,37.71678654473746,35.116953652091176,33.98123685881284,32.84270503387502,35.55449455107334,37.652852563083705,40.16043490602399,39.84494909745827,46.21132039481225,43.98482181227957,47.19453966066224,45.38018890106191,45.679363692157274,43.97390038023095,42.2824331596131,40.52685654933558,40.005082237994245,36.70667099694648,36.58658488722346,38.74135283430551,40.40618831151915,40.09405845873932,44.08056323566775,41.963165554468624,45.19787507562276,42.22470946340283,40.56416276114113,35.87591277039991,36.90868983940089,32.59686982092725,34.81880412154736,32.30930806611626,34.29164119604223,34.73419842857585,33.39391598628286,34.223839642091974,31.800532145233884,33.23215235996288,28.711272238752,30.806872425163885,28.633302936080533,24.9324977307243,26.109001832872508,21.582003198384815,21.756913717847425,19.62678669543683,19.03297374116814,20.70880895867679,19.696778867704605,23.55605333473014,23.038422107523065,28.44956638639902,27.66528247562743,24.772115521262446,22.199735900011202,18.28404045379433,16.572901712045724,15.287029981214294,15.382553467702355,15.457991644714953,18.211832685640914,20.545822517439156,25.36905576465214,23.382928265881475,27.98500066490349,28.167033277006976,30.17184802820585,25.346309401652835,21.97739348187179,18.230793112977366,17.695236060538914,16.674333939016766,20.441722988991913,21.658727439800888,26.580411168531473,27.025350220147367,24.844814676448223,28.23890211335578,27.900527465635015,24.66292041328269,24.85193057230981,24.463536497743334,22.884165697429072,24.429684425133054,25.368549199497465,29.420478422732867,30.37307083635874,31.68105879557877,31.338296221687333,28.907658179519423,28.668504869758635,28.9653628585372,27.360918270366202,25.774427694547885,29.20314439197733,26.143048920681032,30.772620440024966,29.39646679806647,25.861973985100445,27.48037841313487,27.85714865673216,24.660196283407167,21.9431361323558,23.133984462015416,22.71484140693954,27.219125703418886,29.724775513908515,31.62680269773712,33.13089538215322,32.57896529542634,37.563750822482476,36.24203152220507,36.68334413231587,34.630997047274946,30.567425550510283,33.591564450748734,35.2150586495005,32.52433302136978,35.945648916409354,35.26162357416826,39.42284916134225,37.21662491039276,37.236479906490274,36.46253949861518,33.95124792065706,32.285878146351884,29.89582441460277,30.24895080725849,30.10134690652116,25.466635206571127,27.18318425034335,24.547117299845677,24.7562760527576,26.975203148493648,26.72698570218891,22.798396341593698,22.398209439761803,25.71867887764533,22.539674807972087,17.768194781555486,22.19652481411849,25.49865325016689,19.607659895234168,19.710984680529027,23.460371579191523,22.08458751179842,18.240053746574773,21.37701557051505,19.84999774367415,25.890990111603188,23.591051029074006,24.576988930784875,28.246053127428112,32.173286657909806,35.735730595293404,37.52430433028562,39.26336598560861,37.023408592196546,39.28019030167552,36.97755172039619,40.43268212900243,39.065673470879595,32.96657327359132,35.8118531267282,38.481205466411765,34.11261978521702,32.07686580292575,35.04416292641806,34.35349159818141,30.072785404931984,29.35365412403251,26.967585013566737,30.1873077899548,33.2174911287873,32.929748176858254,35.62436334627228,38.44031272795877,36.22015996807166,32.02272796408006,34.24121998848304,35.36129414333505,30.69128567917044,29.123367780770742,31.92185278998753,30.451461825994578,26.887856954589306,31.13472530174764,32.172693497099296,27.916262929320666,28.51502410517292,32.26789859987065,30.59252953213042,33.213771601669116,32.087327515847726,35.14785085541733,33.52009842170789,28.01507767019398,31.180773983918666,32.120987863546695,28.86420961755959,27.054422812083875,32.50104834275607,30.935247189099183,25.547880294607204,27.688674300374796,32.09011382173537,29.591021582816296,25.666379219047275,21.09861218114314,24.311517177891055,19.955443823870866,21.907062173587022,16.682923640804503,17.543275793221095,14.436771830094449,12.106921470789935,13.408589951451141,15.8284710399186,16.69156575981501,19.339449631379857,16.383266700140766,20.096701772466698,16.758698999813397,17.268800151712725,22.40724184908783,24.60982439358402,25.098899650216545,19.944447942670312,20.68064645360619,23.681989669190376,20.819936803965412,17.11948261343129,20.664858742416364,24.163485546476654,25.62077075096342,26.152545202538985,26.12949071390345],[23.314468016678855,20.463531221936677,18.997269744860077,14.028358705803647,14.134075354353017,17.949506736252808,17.87214880675023,22.451422790354027,22.10760263239129,21.244658172569963,24.561647529857627,27.895551023542357,25.033759954529042,23.14665879491379,28.20411825246847,28.978090591691576,25.386572129260948,28.885287925912916,29.109703641405233,31.11497135044015,33.38252867503665,36.575985843649356,35.859872617692545,34.05053531764894,31.248034583570632,28.61228501050471,27.449119244518005,25.2122036227438,28.056796255313785,29.419960079232123,33.65761770979137,33.78347070090401,37.98950581096704,40.50465607290249,37.30205681224674,34.255009917157295,33.670988625915236,31.780183055085374,30.121394496579796,34.692147561414174,30.775207022094268,32.83316804896824,36.760178370251275,34.870694677849286,36.37020087762396,34.5012311648453,38.227033239709606,37.85960998095324,32.86347335142126,35.48332466024901,39.04469063659598,38.60830366781586,41.5312601655224,37.65482264670917,43.0791387143407,45.52798918053694,41.64595382923907,41.835573537822164,46.58550735189445,46.08923406074724,42.30707182305014,44.79394941669021,43.89890751854071,44.76559853072975,41.67716642371546,38.74266726921782,36.301480697155306,34.61970162310374,31.863682808874554,31.52122080096161,30.104057012327193,32.85459512108219,35.129611750193696,36.98421332472739,37.21591221895053,43.42178032854908,40.99358274237352,44.628155370896536,42.645447774559464,42.55480196941981,41.388316739470746,39.42585214654369,38.43927850297592,37.49039241169652,33.791864733910785,34.073240589205746,35.76645445163546,38.259402000349496,37.36313047391313,41.989901545418036,39.76249191266526,43.046542166831124,40.51344016611413,39.402639481820145,34.92744401570303,36.346335276361295,32.22021002241204,34.64841950403725,32.65301587076841,35.48680866742674,34.77943576807226,34.08692671979066,33.803929468926974,31.995540588435798,32.678405834578626,28.73006884049336,31.191072913841612,28.840337248298166,25.914229813555668,27.144777530395064,22.979955322402876,21.821019528783772,20.088150397914298,18.016029837315113,19.236677918916566,17.035978399885035,20.43669236877064,18.843280527605188,24.28364063636384,24.549256827795208,21.675548219158568,19.885710078008835,15.28437695003047,14.627128909158657,14.952399944561359,14.2288742042287,16.636232883411765,18.052668506007524,20.728059245763173,24.892930485875944,22.90675856945488,27.50310239631553,26.612952475146688,28.947791013824535,23.480689657068197,20.19200112783205,16.704950136062163,14.967526584501515,12.976937193881017,16.663769450809237,16.482231271026862,21.250869830520266,22.395514289866696,20.798684969007226,24.403897011874314,24.981183374111605,21.936549474557637,23.27002362596836,23.699651051950227,23.147857645090212,25.607292926494196,27.166582587133078,31.554476162662322,33.28900509297607,33.73095974713282,32.74673080411082,29.643582366486086,29.400669545611027,28.667990278830203,27.03213301984009,24.110882074372547,26.90626089344328,22.848574366857402,27.54304521873363,25.86166708278284,21.52058696359075,23.76008053454233,23.55666693877748,20.994816559777874,18.035398339808715,19.97905340198061,19.50585150655557,24.431177892638317,27.306876662564594,29.54261014384143,31.79149588388862,31.246587100906076,36.35855877000286,34.241603360424094,34.99601741093677,32.17108948747915,29.12784761991976,31.603688569112965,32.7456844848511,29.719492136970175,32.48140991683915,31.50548682339584,35.39916943481409,32.449468176825164,32.94442036570257,32.22001341463976,30.216598562628455,28.94600367584667,27.143551771692746,28.100202474883744,28.609179225172703,24.510870714440916,27.109844152925767,25.41570416123427,26.021255108574152,29.062759616179072,29.22756943074527,25.157736977573006,25.197155489575543,29.088124732171924,26.300829522714988,21.612136349924878,26.33018065204759,30.031207765194722,24.615874883991363,24.927919645537777,28.861000505350802,27.72113587742216,24.209689009349084,27.30175063109722,25.330869389661988,31.41385407136951,28.170611526311927,29.03426622277332,32.97264199109475,36.31170579983688,40.30794635482378,41.27473835150979,42.94810950553221,40.31253319576889,42.20355822737919,39.58209016527583,42.595205693795855,41.540879079906205,35.28116606920055,37.56704327977175,40.01408728586692,35.75685693677474,33.36123200489421,35.62193226176801,35.11261474555127,31.177784204981755,29.442179338473323,28.249174623630662,31.103419102750458,34.5192483472012,35.13432937629861,37.75471114007697,41.15919991142561,38.62519406326208,34.44114165766278,37.5438187465244,38.66188183593708,33.798677696871124,32.78689398355921,36.08803853757826,34.7929257381721,31.42534804258121,35.80347055989726,37.1637486286518,33.203774631373584,33.80487234044495,37.469686987734825,35.4942095448009,37.64024122515466,35.9483146146657,38.79299041914647,37.754853903802996,32.104304382965154,34.489971069429195,35.67886403086246,32.69741359192792,30.06829172501929,35.2485565348929,34.12510922137717,28.621423471605063,29.801184612035623,34.32229449757873,32.202094816398414,28.20115255447883,24.092526975558926,26.924808948473945,22.979339714449566,26.020724166745573,21.101315454451722,21.958153237382636,19.560817129987257,16.96233928864292,17.126592405394756,18.582571005153824,18.681808456829703,21.832993889362132,18.523370804515487,21.541076136756143,18.076011834817482,20.290391562116675,25.134422196452253,28.01952528682119,28.216129558931005,23.174359134260467,25.012701413351852,28.082874397112423,24.548247410414493,21.96941248995905,25.950036239866062,29.554542952509983,31.180256296734775,31.82392354325756,31.916151123608547],[24.597537596756027,22.24964893982301,21.63979490277983,16.24083189354301,17.35048084542542,19.884709683082587,19.684768641328482,24.167396709119057,22.92663465242821,21.806665144544937,24.706800904266764,28.426280482864023,25.831746785656104,23.143858329599652,28.204643471791865,29.456879757643193,25.9105562744973,29.147184312647298,29.045936332416254,31.663620655101557,33.69281068888546,37.231414938852566,36.30763580381788,34.478488935115294,31.970078231072286,28.99098645365254,28.39219916172232,26.088625818694616,28.921473357602828,30.50730533317405,33.940296596202096,34.72732885105474,38.70306885014373,41.12829167131335,38.25612568474654,35.119749496920775,35.081020854646525,33.14400040868373,31.77348237691655,36.759423623961425,32.51250708444457,33.96866992307991,38.062427882753376,36.24803213393668,37.4430355351441,35.60910830192162,39.441358819383616,39.35892837124541,34.53667191235893,37.49250794318023,41.07962717832439,40.92364888767462,43.57865517062539,39.6789122866086,45.17684573465616,47.2835572324411,43.153212111245175,43.37031412404285,48.06635225363432,47.36910172562637,43.29129011301149,45.52065723757025,44.51270465603722,45.023051876094215,42.14289983755788,39.38816911286154,36.28893265149225,34.68714600687431,31.350006870989738,30.953515741437606,29.154131789170123,31.48002206683243,34.24146718766842,36.30044422933037,37.004866467867394,43.3073174183639,41.3687467455452,45.107569911984264,43.49915331858355,43.70839717166873,42.90347694738875,41.33511906404347,40.59881466773723,39.98739699411056,36.12735329721724,36.04418941368684,37.27642379690636,39.77554289971692,38.30382156138428,42.774640423838974,40.1278121531652,43.01638103747266,40.43898982608407,39.49813888852061,35.042894371462026,36.09439735054147,31.962754438093807,35.11298049032689,33.38568562289388,36.54106224174423,36.1251742712793,36.0484753659906,35.81079814033326,34.555895483817565,35.73809820461204,31.905664456300883,34.706623462024154,32.642917192682944,29.670582870609408,30.514042634236695,26.18227976127145,24.76075636527352,22.37699801868247,20.30795934520211,20.494202895051757,18.24156778841085,21.173313771393932,19.42115488888187,24.155174519538328,24.545546524412686,21.32131496953798,19.783437546116485,15.39528389220692,15.452685856032168,16.281388983651567,16.786091766582715,19.635040276329104,21.40642933529526,24.419235763587267,28.538917099627387,27.001312324529827,31.621848830373708,30.64163215083819,32.703785953405365,27.271684286954105,23.71141991432122,20.758106150386755,18.409777063264873,15.772793742619237,19.04987175001706,18.031124617261572,22.642892621056767,23.556336926008598,22.40225725595117,26.116527636317873,26.526764646489546,23.629628822908007,25.038344100998767,25.902139796033985,25.01155256655159,27.86155746620875,28.7638946813245,33.407093756990896,34.550005099290374,34.85095096639771,34.24284664555519,31.10977839235865,31.459487924962353,30.4696213303285,29.613817072708812,26.7667488149434,29.010271705106256,25.163670495908537,29.89940281727996,28.717065761237265,24.427209183315448,27.189132763387473,26.979449664638242,24.81175981143425,21.62981199488973,23.673000319450207,22.75324742656,27.541423310173613,30.224498057351756,32.17186045095922,34.43103022010348,33.34801406757618,38.70547638407179,36.72362033312909,37.79993701216422,35.13723638122932,32.33550588734593,35.109843292966964,36.32180897578421,33.146481122059406,35.421588805123605,33.98707202040487,37.969364668194615,34.86190804304736,35.8768691712272,35.41136885402156,33.540920198502015,32.65617852995001,31.06720710557305,32.20340030941407,32.90473639580412,28.843991727805342,31.468727983218074,29.75730516308311,30.142100101681134,33.186090979708595,33.07245628198712,28.97543730301412,29.167731122932455,32.87408919747837,29.7757943039912,25.22714350087917,29.901340745157757,33.29412851875067,27.570072088733458,27.910350028017135,31.718446813858247,30.20743490755975,26.51951692810328,29.7330710515334,28.124812528871345,34.2084251407512,31.393999434465805,32.47207120407437,36.29770058362632,39.923379716766156,43.72099355610399,45.07002666074332,46.79299750375507,44.28153439123954,46.26111525719635,43.6494056109688,46.81590394815387,45.735897731019016,39.48614399118646,41.84737715019843,44.3806114846334,40.10337642374535,37.74128069667215,40.06446879695392,39.53997932784386,35.562020792514225,33.89972213534812,32.603094784003595,35.36179522313702,38.7667817752775,39.21475360800663,41.70772594218963,44.9621077190555,42.30252487942751,38.251802173822064,41.18181368891159,42.06767072598985,37.1753052676485,36.23060518571632,39.23323085903005,37.68980815104689,34.42222570652523,38.90164573684988,39.94243526929872,35.70828532657379,36.60747607238056,40.387817612252285,38.66767600978749,41.05481826500465,39.55801814011203,42.57529599151182,41.34065338354101,35.72124591329204,38.41241673076076,39.55157036407649,36.45302252214075,34.09494068242935,39.35946940861486,38.03705556272799,32.56351040805034,34.01828693846697,38.457826062292014,36.11781432226432,32.12878980952863,27.885135538857558,30.539317665763818,26.32616702156909,29.178063452844768,24.21651218925834,25.355886800036004,22.586905089904977,19.963420080812988,20.701323307883964,22.331141959737785,22.796455193871836,25.940082846249467,22.591956070365995,25.655569773077403,21.87971229883978,23.74395956935528,28.432380344237036,31.201073146538036,31.00170398039641,26.025266808653114,27.79485635333178,30.47541123076395,26.659802483251234,24.077172274645662,28.144461475447947,31.374451958476314,32.97485283694222,33.63830080470083,33.62077014076755],[28.46187216096738,26.114774403935154,25.34817563041025,19.98287735482432,20.56892237410743,23.188823075687356,22.52082597611102,26.859884603797465,25.403498980427386,23.65807339592751,26.356152769288585,30.288481154429736,27.231591226940917,24.285954518032977,29.10540462756273,30.359945502417826,26.460562094038686,29.16694540847685,28.336966621325658,31.117206678757043,32.66314715313588,36.16397879646134,34.905453297223865,32.793915369773615,30.681760727306383,27.822213863495975,27.747665184262864,25.908886697636945,29.12041245942503,31.231024928222627,34.38313498679184,35.699117817796996,39.63801478586476,41.65294350917861,38.78781168090408,35.35222867203721,35.737687214028114,33.180822747078906,31.686217507418778,36.58327667928605,31.890709805101313,33.2427871374646,37.235266930070814,35.159540966871866,35.933205335579366,33.87984937672408,37.681643823539694,38.014149804027696,33.26968079583491,36.214832849376364,40.03935091696118,40.21761600520431,42.838668947453336,39.17441726873325,44.781172528954194,46.49986966771849,42.248852822044555,42.86370365866194,47.43859108947328,46.3236404615022,42.314371435973136,44.68471534931545,43.92523595722099,43.97925020081029,41.045240902782815,38.66844658779583,35.362013263231745,34.20804479511636,30.630377466222843,30.711606411889743,28.64161589919821,30.769540531848502,33.77693578189811,35.47557148718525,36.671602679668815,42.82718475077861,40.95360267159911,44.9287663479395,43.3562180689396,43.424265046424104,43.04244962731786,41.446384378800204,41.21010935446198,40.45427946637363,36.3967953974516,36.44869604283187,37.27515560930619,40.202080248114456,38.261735059600866,42.984833750880846,40.184819114105764,42.93786436407695,40.6270800974961,40.052204031931744,35.788593279499175,36.910737096463215,32.95250367674424,36.353377642300195,34.975686624096646,38.54536872833485,37.67937102662913,38.03689376871959,37.30132424578467,36.46144492588278,37.372185116113315,33.879531070446575,36.836101960644775,34.755861115276105,32.137576893910854,32.9567898557771,28.818197167505495,26.88063081271006,24.628113801211,22.017320829724213,21.73785780383741,18.971406872276795,21.317283546226662,18.904519963030598,23.171903898686306,24.289757310803243,21.07938990675828,20.195714268784435,15.774207214003432,16.668669292615583,18.319011155839643,18.685462353738547,22.337937986852747,23.59940994710374,26.681272385141618,30.425097509027815,28.95244258680891,33.47026031039254,32.01190315373074,34.17140433119928,28.564721766915355,25.134731225364185,22.476877917368732,19.63498629727098,16.55567589651702,19.423300032683738,17.262410320030128,21.454841613137106,22.760470256807203,22.194651134744547,25.92843770687749,26.82229280281319,24.18290617590769,26.16455029176573,27.493523394056282,27.018897027622153,30.248975670156497,31.26326861416174,36.02006110053097,37.33971693329556,37.25930766403965,36.47230886638127,33.095271926481665,33.55807739903853,32.07391302980497,31.38266286417108,27.994400607079925,29.723648587065423,25.49969704310865,30.131285504451743,28.91516094882286,24.29434192896756,27.428048007811288,26.83869209552954,25.195725630913074,22.019714621869326,24.416517531607006,23.44461461483783,28.25159938015824,31.02031762538205,33.03841740396419,35.633077980273754,34.45846594720518,39.84398811768963,37.513659739004716,38.80176159158779,35.81035786853984,33.632781449875175,36.121059762054664,37.06391884930823,33.74965256497636,35.514916788183875,33.83669637197374,37.59250733961209,34.02171340341829,35.439525477805155,35.05217653182817,33.57050236620472,32.98596095732693,31.791753289933396,33.22508862315694,34.23615044840163,30.52405189082434,33.475196745674474,32.15350115336407,32.70852498629383,35.9941197034996,36.038794353330616,31.932972911714344,32.23254907991474,36.09762892873262,33.141832666221795,28.605608283951664,33.322931588027465,36.847430270288335,31.242950728384873,31.594085066556808,35.44708380746219,34.00894852425422,30.357503064759502,33.51389175952344,31.792228807533498,37.90537630960375,34.75499490057937,35.88738231248477,39.79431647798621,43.23157458089849,47.175468337643686,48.26535908616808,50.0077619345182,47.389359419540014,49.26223351085817,46.572195150962415,49.54698711113816,48.55288989301568,42.29277261375082,44.453309472929014,46.841565219396706,42.61387273289506,40.1680100200465,42.18847996932265,41.66906382435403,37.864633126051615,35.88430143373521,35.0857695304158,37.72365351714435,41.244166070238805,42.0284383038749,44.49013716721769,47.93935109462218,45.178117623579276,41.15821506758903,44.370072511627335,45.24832961210761,40.308788946826766,39.54689549686015,42.68537852731243,41.18531423942074,37.98407627120194,42.49093952976559,43.609806954555,39.44166782516217,40.34077487874566,44.096701398655775,42.29359528345991,44.560142829259775,42.91205152062572,45.83907116232064,44.759878205967745,39.11823621708851,41.56637052232925,42.73425441687944,39.71602554497538,37.13409706941693,42.24933914601733,41.01184951099396,35.54424645890758,36.69525196316866,41.08303751786437,38.818331341044406,34.8422167437385,30.795284868101156,33.17274575895438,29.099767915882204,32.30888248209381,27.50980725608778,28.76646948807271,26.22807582426882,23.446174783671605,23.939212248119965,25.214923516694252,25.53792083564994,28.864138708619166,25.53579479738328,28.348179230459582,24.616556708553734,26.95441786953002,31.501698022446504,34.45873235765933,34.130611155670024,29.244979201372043,31.315267991783422,33.9742304997667,29.953199690936643,27.707248813876678,31.87021412445909,35.07348825918273,36.707039867623486,37.368090308622065,37.32068954382215],[26.859147251635342,24.827568974191855,24.342648103377446,18.801989949549174,19.577749331162664,20.688331102022616,19.597804876707198,23.61415651744716,21.43687263533,19.485201319813253,21.81931154824927,25.915867165648322,23.220735212006204,19.79962701462962,24.603079627340644,26.207987585794086,22.649415484001505,25.441688813643456,25.028508254434666,28.194123707619756,30.033614500464665,33.90728260744851,32.92336749274085,31.285272353010505,28.963270284239915,25.582004860442456,25.499078324894757,23.10992655991995,25.844896161238808,27.73040529892721,30.26637692332949,31.82665259088373,35.53018853039999,37.68669232870509,35.15576078955649,31.915357701645107,32.53153075439409,30.515053365742105,29.546606240278475,35.00369303028797,30.553154055945853,31.18085245942259,35.4436304082314,33.9050104773639,34.91627255662603,33.37509674061959,37.31992147891754,37.31664807330903,32.83230273432731,36.3394943780465,39.65007007895684,39.765865612958876,41.9264923765931,37.92287345442774,43.40020420547071,45.13831974867607,40.7603703433368,40.85800572785017,45.46162819906133,44.671651287809965,40.232229862826614,42.08187142915855,40.91602316364234,41.140371374255416,38.53422537989621,35.91522642515455,32.22339086504975,30.67096656301515,26.883071626534075,26.479072076862295,24.394831173062016,26.4145531492393,29.472903919820546,31.639302744973815,32.72112605850778,39.03639164266285,37.55370230378005,41.35925845605543,40.1381314160423,40.67923431922574,40.28742762010598,39.23258440761007,38.843818406317894,38.69690559055561,34.68262596745962,34.105258128701294,34.74103250655571,37.22353796967338,35.10257081921308,39.38502478903886,36.35258774208973,38.85908774216044,36.33207899081811,35.65578947812421,31.34634609670348,32.17596538983099,28.189030622091273,31.955893368171473,30.703639696534434,34.42198816436863,33.89453503654188,34.73415059020323,34.219834568677044,33.879504666147135,35.55727241504525,32.14786180355355,35.53613063144039,34.00731589374326,31.29503135376235,31.43934601867565,27.16293424288485,24.959702281702036,21.985680251674463,19.646206174518817,18.445772881011276,16.117025818765505,18.251068675439537,16.50230220237824,20.280930689369814,20.688720980405186,17.250195562436097,16.131055998571682,12.247147200138475,13.316685654513005,15.098978765557154,16.790207688503514,20.668952897857856,22.370703410820752,25.872312544770157,29.566618895111507,29.013841074854177,33.56285735284218,32.30366773867511,33.71145992258133,28.478979366570393,24.53056758084933,22.793651377051074,19.36906969790799,15.991627766110396,18.409221041547166,16.741565428906675,20.994388530938767,21.2361925574924,20.539639130171604,24.207390648697466,24.313462001825165,21.731957081790505,23.292245622820328,24.825752369246842,23.865147513276426,27.376835914344795,27.742390333532068,32.655233614359354,33.54922483372302,33.23199678388276,32.73296012603298,29.40179029525561,30.41843212020891,28.826056072676746,28.98106889673047,26.097046033129214,27.440241465563282,24.039269197252793,28.66658785534113,28.347332072256933,24.550159618639846,28.018237507358826,28.240752298356682,26.714063693319478,23.04945734363836,24.95091495508499,23.190070782065614,27.51995144930598,29.786040732945757,31.245788148636528,33.52749197450153,31.749964256453765,37.32096355162885,35.47911226979513,37.02122058565075,34.65252287470208,32.34325316034508,35.558845819490486,36.933354841169944,33.56317101029992,35.041126724649516,32.9472677849435,37.10468216256979,34.16022058282362,35.85202563962791,35.945975745759746,34.06388755510622,33.933895384212285,32.68506458388477,34.168898492565084,35.39526774913334,31.469425017279217,34.25170709936694,32.90765376364234,32.70851566088511,36.20300332953263,35.568647209533886,31.44002959653519,32.43660384148136,35.98786913899141,32.50662665418093,28.670249901864896,33.46898702656092,36.273563266335294,30.57131004117823,31.435858728382936,35.11899823175977,33.03743378609843,29.721208371807947,33.43998037355353,32.15670423645351,38.06989181262849,35.97810239757708,36.67186286633589,40.36184337923797,44.14484971545062,47.72548541847476,49.21729668420123,50.63473332682972,47.95422213780745,49.67199868973808,46.70546114741672,50.06069632913629,49.373296999809334,43.011352597647985,45.05825745559518,47.98993721955565,43.94048105706725,41.25827098087027,43.4272906635322,43.48509782060641,39.602683743969656,37.303258668343545,36.0906332108443,38.048317015435494,41.54559203010844,42.02960839620352,44.04475160851198,47.27471889148683,44.15340255095661,40.486151380045975,43.61430631493451,43.97093573060818,38.979207927844165,38.623680565454286,41.39899944777651,39.58502509855697,36.76032844088402,41.52412196729845,42.26224230843974,37.957021482045874,39.47065331607136,43.358194291795954,41.91144932615387,44.2084288711743,42.5367330800933,45.84351146665622,44.91675553436326,39.225646913010635,41.90823028618787,43.466173396401885,40.46944654364122,37.98159392046033,43.44799194225533,42.50602190652652,36.98393828712895,38.25614720378705,42.97208097335696,40.92853535044736,36.92882467187616,32.66282975216126,35.67918459964137,31.53107005569664,34.14670609175904,29.015064786611074,29.662143177260397,26.41111779651405,24.47151896020142,25.236123091127958,27.195983134743734,27.291078721903276,29.984272467363894,25.931505344515543,28.473280565336445,24.105141894042607,26.104571987860794,30.117671829293666,33.02614662100844,32.0293326925961,27.412065030556565,29.769885351544094,31.84701564162622,27.359457942207538,25.697878175522323,30.10443746806193,32.897433581320335,34.67524346644181,35.60136070721601,35.78960843069583],[24.25219691084698,21.694380816632446,20.448658231204334,15.123853694982682,15.104030417984372,17.422511257878604,16.51413931354314,20.85163069806621,19.65882059193713,18.115524317848077,21.11988594821215,24.81585470673422,21.846666314140094,19.362246576567838,24.378468999207147,25.4375694756701,21.799889474974606,25.114770901858392,25.232495765130817,27.671947282400442,29.9094832915613,33.42918512918968,32.71427874071622,31.09556033971762,28.333588483858385,25.295264549361967,24.433660329990193,21.977705045004328,24.744575685733142,26.303432053881444,29.925216142032987,30.604879879540064,34.6475838554878,37.02951758270593,34.073277798401904,30.944875475582204,30.841942214177887,28.956310560114822,27.647097112782685,32.742449272131275,28.646733747736572,30.027362791453907,34.17395724884863,32.55084769057413,33.98864894273303,32.396547541792344,36.27247824149238,35.89113852818209,31.12467291403634,34.285475120037084,37.60027450156086,37.336364687148404,39.84572598178198,35.797530456595275,41.24093848277264,43.442902887865415,39.3291897461821,39.344232852529764,44.075633820225804,43.56894024877027,39.429110614788414,41.58793575760581,40.508535012161275,41.22667213728968,38.34964029055752,35.430051593554246,32.51939813854087,30.778250199244635,27.694978090601367,27.266480549297842,25.68454426847625,28.29936456286868,30.74163566367403,32.743128008349046,33.173772591268275,39.4629098199536,37.36846330395827,41.048779282027354,39.36546734837068,39.580969768274635,38.69030069200738,37.168681662950064,36.39716614479233,35.89362949774957,32.03880621820401,31.840190743919237,33.095962920609246,35.53437209633268,34.1452005953581,38.62259384818137,36.080272864601476,39.10989095262478,36.556286151110804,35.590709390234686,31.154363501406323,32.41514438616146,28.329159850184986,31.23607213751723,29.555750417696185,32.85777102312608,32.10719563303334,32.16026632180674,31.69960782454513,30.649887001116603,31.87587391321388,28.22042262298786,31.283291239019537,29.45567643741796,26.69045866303598,27.213361401662198,22.982153617390946,21.07326103271732,18.636349404323564,16.285485168388682,16.31826729132183,14.001197920568496,17.02025575892842,15.485705768054814,20.47324673485277,20.61752696416984,17.51353593518666,15.844338589453669,11.341517181099862,11.297725346462007,12.414299214201574,12.91613227349716,16.467893430956675,17.986338660486147,21.268711163343532,25.140567175664042,24.163571080126033,28.755635933211916,27.64693177429954,29.317112514028903,24.001134839540835,20.191179768315063,17.918336274447423,14.957249679996874,12.042839058236984,15.137407117510802,14.512008451462743,19.264865361669305,19.760248589851713,18.397335246864785,22.08632822713971,22.31644115304035,19.40506242767967,20.826324943116123,21.825466611969322,21.115749175757614,24.22407806903612,25.291256356249814,30.002334021153032,31.507418783385855,31.462648596135285,30.581972846177745,27.276571218646758,27.62425634862228,26.395813488385247,25.654462687451982,22.71664657261338,24.81257685026175,21.129089868765785,25.872366133805198,25.002047165595016,21.096684092471733,24.064285175202578,24.35786690829734,22.358306631318488,18.809867900052915,20.595280339152396,19.204502084147098,23.792062659350368,26.300769042587344,28.094578982939396,30.349686326860624,29.155285803188644,34.545120290626635,32.588401396339336,33.76008426520287,31.23418500186223,28.514244112756913,31.521172130736105,32.885725494334594,29.64910952877478,31.74992979986588,30.16603476932838,34.33080060981008,31.56216940923662,32.649417074432,32.452839487198794,30.352613213196367,29.781112632729972,28.240935917738106,29.52512649479049,30.527987114098813,26.49020962411854,29.213134495063123,27.819994298981882,27.775169782530092,31.24931941398043,30.836908114486185,26.702840839591722,27.56443672082164,31.266378372121284,28.02198852741224,24.044066645979747,28.897227461975618,31.973729474236308,26.48944817605975,27.331994397588105,31.14303632175561,29.385816594295093,26.18207895737045,29.819661058543044,28.222234847712965,34.1579803480612,31.723480640448624,32.22487903418902,36.00712511396451,39.56503470365328,43.3268783164418,44.49316725998658,45.871220495382914,43.10134471249154,44.768525763520486,41.811550606731416,45.05709157804138,44.36573194143908,37.99585945778456,40.015748417031,42.88734400460393,38.844166805835876,36.14850289275839,38.311623355536156,38.37512856898022,34.50935712299613,32.19603215492654,30.98988690044393,33.05413914315791,36.55410310742384,37.13368524457251,39.29104424827962,42.641346672333775,39.65840669339917,35.82881300551005,39.081875130634074,39.67953497632002,34.69242464873227,34.22376793793266,37.280371412801394,35.69136486211416,32.7230216737445,37.40910488890617,38.44988028186378,34.363584586236655,35.585306433960085,39.38466695514624,37.69960180972852,39.80639333870208,37.98047804767611,41.14471911604649,40.35976091885387,34.634652976755476,37.086820126124586,38.67970627952875,35.7714251747947,33.080695443605734,38.495053936475124,37.71027764304245,32.16951225350953,33.24800738954893,38.032366026014955,36.172611505703735,32.173378321052056,28.003894595343674,31.208898274263355,27.27730368349695,29.984526319386905,24.86515229656322,25.245501889272372,22.247708090257625,20.370172505406533,20.715062116375563,22.604572461268308,22.402995592394902,25.037653845748785,20.968318365126514,23.50105453793606,19.312606204154214,21.58816610859847,25.82087837516836,28.83920115061033,28.250055123259617,23.46626234892083,25.868144695097396,28.363675720496627,24.13317628048456,22.347214220634825,26.72491002078178,29.917089363380097,31.6953232497146,32.567869702232564,32.80898622177614],[29.01709334151118,26.239990128300416,24.48813012430941,19.47998893406215,18.46670070503928,21.663001945940685,20.315347217571084,24.457003407919885,23.50750292423889,21.2694776776062,24.191987635865654,27.93809028158851,24.134618428735166,21.78245624493208,26.397016997964958,27.13963320382581,22.89789924156803,25.520989646035904,24.64191521522826,26.900863166005784,28.50902329187198,31.720196760757084,30.57837334281394,28.456387125113153,26.10949788785203,23.52792204137804,23.12315101905475,21.53024651687347,24.99820378140469,27.283149974447596,31.02239431086447,32.08635472378576,36.223838105606156,38.021120456687164,34.839905761123035,31.2789952036315,31.47565360444077,28.565002328029824,26.796634380130495,31.43774350174067,26.772578435501718,28.488535146464734,32.365677597871084,30.198856289603363,31.162262396475775,29.125334373564247,32.91276237643495,33.02312780689555,28.18050301364654,31.068592646351703,34.831887591714,34.9172321376552,37.620368280296304,33.97668191153253,39.59300515775689,41.4157405355037,37.267907674412434,37.94895624562136,42.54232039018303,41.478662119219386,37.66444108749002,40.28244927668965,39.69971363518455,39.93148708630397,36.78232327813665,34.34378176798628,31.572854848612323,30.516872317012247,27.450715808567267,27.84950604441719,26.09244361195381,28.693311401572416,31.19906242284057,32.47668726387299,33.37085601684749,39.366695193130965,37.0142019858798,41.017451406914226,39.11083913717995,38.86246901508801,38.400047415213365,36.51849145508545,36.393486451361994,35.378577594328924,31.29590385832827,31.62008494991711,32.54897311196166,35.7154234537336,33.97438546300448,38.99645062679974,36.50329964421278,39.59989634487836,37.497447966575,36.99048577064938,32.84228315808094,34.44506396524216,30.632322480177944,33.453131894693925,32.13131518568672,35.817583403065285,34.218017093983256,34.508462654039846,33.24997323255394,32.454429114189814,32.86505577744649,29.680215302280704,32.69930781870532,30.617424460460928,28.45492087237756,29.25348581801818,25.478276833820797,23.00586261686362,21.27576693579632,18.080244352050848,18.07561580028831,14.886905706305061,17.22163589043757,14.5280231813697,19.383149867270944,20.726829823641907,17.893845681397266,17.16298590949721,12.437171861460786,13.376914491746847,15.486728972405269,14.89236280372254,19.315090080411252,19.755751622583535,22.829700313115964,26.09615143855218,24.834833080711586,29.20780417726538,27.372130311672052,29.4597574661636,23.807860961773294,20.47347803229818,18.27293922331463,14.932651223699999,11.644035303645879,14.326662931799996,12.046917945377778,16.363353411110275,17.863056958061875,17.208485708098788,20.917832597908465,22.18573483530612,19.60040109430319,21.983148079826655,23.43879412737748,23.640880913700922,27.020282580981142,28.6592908818918,33.32509078701946,35.40355456121451,34.95193432208492,33.597740741133336,29.980015642702146,30.097677454241612,28.293441180461333,27.254674036805863,23.358619792984946,24.994319999548896,20.419745071360783,24.991302799125513,23.61639242354496,18.954014535850444,22.230884336458825,21.79431599375307,20.408093051445903,17.025633593204976,19.44768953214261,18.340940198454636,23.127711052951312,25.971266220400675,28.134262611166914,30.95760833021879,30.024082960264213,35.27263073792427,32.626497631601985,33.90239965678246,30.670141271526145,28.827914601608185,31.092414091017126,31.926571007738495,28.556473848938985,30.175692041148803,28.527007140089385,32.24530224978419,28.728728905774513,30.113625717675554,29.821894732726477,28.30045563862406,27.92325734067882,26.899307151516766,28.547689831208064,29.90284780710977,26.441671810915324,29.661778959724707,28.877054725353986,29.33488656381395,33.07805620273346,33.159549903472126,29.080075971719417,29.862243151869745,33.89050036076823,31.121805574139522,26.987282313455243,31.839246760840172,35.35356434059151,30.214531366121673,30.92084329973739,34.85106301395584,33.49179347323086,30.322348492737415,33.68621285924797,31.71576897230601,37.7158131947876,34.449449157051596,35.03718376219919,39.00107920513713,42.10181702246529,46.19235086079674,46.77157370173514,48.21518229559391,45.26595060450001,46.76649864697308,43.76438635063343,46.5802151360903,45.96772930204191,39.63219761261003,41.341781541561204,43.852739886207274,39.87679302552276,37.104004023337154,38.763058234311714,38.74059205210867,35.17606368088691,32.43218875808316,32.08967932476668,34.134629179229954,37.78826881657251,38.9826935326332,41.226859817488965,44.94343278125403,41.9655657292014,38.07690458074197,41.79479257402614,42.588123886149766,37.59936473159606,37.27121166994189,40.69326371674201,39.34703955923199,36.36477426135004,40.95372384373783,42.30715432900126,38.4710024931836,39.42545351260449,43.09815959344138,41.1291660542928,42.95766747568155,40.860928227069174,43.728959363261765,43.21220312217567,37.4884163307716,39.4146247685376,40.9777898226706,38.23974004897755,35.12763534354868,40.19358373814914,39.5595011675448,34.054778581879546,34.56403148505514,39.22544903869148,37.53283679270267,33.5693824496334,29.789473943210687,32.55082571543251,28.938237170582873,32.30497644914777,27.501663079748596,28.08493007006201,25.720172738373954,23.430262838393624,23.208334104032918,24.38582647908627,23.907473292684152,26.908052868792193,23.114246795988493,25.281887522349734,21.51704282157013,24.637558676163827,28.788316043930422,32.084549812071415,31.640611851409467,26.96658704363732,29.687266584803414,32.41202842798214,28.186125490972017,26.71065788486133,31.06329613032954,34.440056591087725,36.2262229548413,37.03213485868442,37.22470125924322],[30.373025770661815,27.84390945000343,26.264759160587445,21.13877036339254,20.076054464623272,22.07620634192727,20.09034423996768,23.806263495893447,22.16308112286929,19.261989130134147,21.71846885052904,25.712188472958715,21.78813820462298,18.905661600776686,23.250421892262764,24.232263725784037,19.937109431778154,22.16791928566514,20.999130845804004,23.739471968561585,25.219664608435675,28.765793532409887,27.59033587957336,25.66220888064468,23.417165599879862,20.410988325742263,20.448497935167175,18.74815545479419,22.16469751819482,24.727922065113685,27.74619481475953,29.441657106729007,33.361963071424185,34.93415661800126,32.02108041957856,28.363637661150523,29.11413614836987,26.14433146603627,24.748718613434107,29.858947345260294,25.03130290036679,25.971626689135746,30.04032065320549,28.159885379668676,29.01407550406625,27.295425889440242,31.215609891905032,31.326175202778142,26.79808481484575,30.237078213016048,33.69072729051729,33.97629741953461,36.21052854730099,32.43559524482318,38.02315465586162,39.55633343429561,35.18472242585331,35.70859466960755,40.245141129671694,39.147453605950126,34.979288938141515,37.257745007036675,36.515734987651534,36.54382013305967,33.61465475399596,31.2450058593861,27.96434926539335,26.931922113977635,23.49977192029831,23.935622927732435,21.96810595399891,24.398944463818292,27.092478784143914,28.424831783558293,29.60469289327242,35.63334906013994,33.627111681746086,37.6934954302631,36.09884125719674,36.14354514944147,36.013170419602645,34.59128761156635,34.7340749940571,34.16085490530175,29.96240164281702,29.812320794367835,30.229232577390313,33.364091565196944,31.07517806343192,35.95096499131521,33.14246381565991,35.954148789671564,33.895712527941384,33.60552250050368,29.583903552763505,31.049912661855288,27.3797624581601,30.637635164194844,29.70778067578016,33.83333767928831,32.12798962477594,33.16690391687261,31.691481861156582,31.667314676460624,32.54320189170146,29.715023212600027,33.21604500980991,31.63020707280059,29.646076600349954,29.82724952595059,26.10131449507844,23.041152129394828,20.804445300244115,17.44111261838193,16.205271446037365,12.919391692677824,14.46782129732741,11.674355634245087,15.76071136214531,17.19198420078344,14.176339667503793,13.901501932447744,9.550668238007507,11.527688480785963,14.479355802951206,14.918500953199755,20.046728031459374,20.516770097118844,23.97276410260145,26.887602995632587,26.525911742498884,30.806168313011064,28.83700229877573,30.276274448693556,24.909756373972204,21.230540446163165,20.162343318875735,16.000554459007212,12.153380950697366,13.87475009769692,11.01111285574064,14.97709294985625,15.703508332418487,15.481382493299247,19.158076145491652,20.11291495070288,17.81888511046726,20.335030875407725,22.371773967069952,22.50946150783843,26.402054299893216,27.59291163368589,32.43396161385898,34.31549102160958,33.383169753354075,32.10491988081387,28.342575680254896,29.00223443376423,26.70695315608127,26.54399374787571,22.687263208133555,23.508080299742975,19.407360664415993,23.869601584711944,23.368723113550633,19.32474016785291,23.199040783524943,23.281521771887757,22.44645252004225,18.683558045067574,20.81605544960673,18.896204104080216,23.148173509146822,25.549717235323772,27.229929859789767,30.03289324175178,28.482474851926764,33.908540624998516,31.423565588446742,33.10436898873267,30.199042625248968,28.744604589487853,31.451878210169625,32.47911770683087,28.97423817329808,29.891121933676448,27.63729926378211,31.55926905493542,28.281427144420867,30.266341386633563,30.5160609334653,28.925235303998743,29.231269554280765,28.46404549313183,30.355909742385666,32.10211829470821,28.725199858768978,31.965691736065452,31.402323641868765,31.31487125398122,35.35045846002675,34.955425386859055,30.876272334999477,32.28721829141684,36.125427918030226,33.016387546853785,29.458425248406137,34.37755629832318,37.38010323273143,32.22788020508926,33.32657550014526,37.14328303161783,35.31999227532622,32.41254468808972,36.16709725168776,34.484293737382416,40.35812586745305,37.73889837526449,38.04447350231504,41.876870838361164,45.15856442078464,49.04450540474948,49.80260359737443,50.99766605114379,47.950104997591914,49.26262171156546,45.99416503901175,49.002795678173186,48.69613557182102,42.29181825814217,43.78451531751908,46.65190556206146,42.86653507810423,39.8670256387176,41.459394104923206,41.91742478838214,38.40979861348594,35.24641519805231,34.84562767304993,36.23104309848236,39.91344306693138,41.053389528077716,42.890933832173026,46.53289163537063,43.19378722095631,39.64026425944998,43.45050046619236,43.80069751908299,38.75533750103252,38.879287851589396,42.07359948563735,40.50015474576187,37.87143594410408,42.67291860711262,43.7603436222026,39.85712584281967,41.29819170521932,45.05962276333597,43.333184833603674,45.122849669688655,42.92906893506788,46.04918868312903,45.7371045699917,39.97346888590819,41.957947356066136,43.84191066182355,41.16262731457054,38.02825713561643,43.27959765319058,42.91266684453967,37.38167784672208,37.84786856178145,42.714886907046704,41.22130876140919,37.254074083500726,33.39606674622892,36.47781415182978,32.8418654146446,35.923704917599274,30.938993422850928,31.169109789868934,28.35908927138844,26.584687927911844,26.52296474584309,28.06429855822284,27.409088025198447,30.00189749626543,25.679946643479642,27.47897505179492,23.23996020083251,26.30953677166938,29.902233673271088,33.25372156423907,32.17673179864945,27.813424760330555,30.931105185817106,33.16218308263096,28.4572068114009,27.65975172848417,32.237405531465264,35.259116195130865,37.155232549817605,38.14784392214106,38.477461696371776],[25.911741715928247,23.39024861524251,21.724951060907948,16.719730550889917,15.55844737503984,16.901807935591727,14.833476260456115,18.59444852589196,17.042490047060713,14.523058785203808,17.33279984562908,21.161436532126196,17.620940744613883,15.035331791470917,19.83619555202709,20.80428324681503,16.959152477817437,20.12489154910148,20.289523227766807,22.775370526523687,25.13255433945682,28.7765321946972,28.228485075872864,26.90424842119086,23.97563342330327,20.70511019276265,19.801053934108367,17.15308362822027,19.870695640222305,21.621103557643156,25.063112976266694,26.02158419454773,30.033031898160715,32.20301779235311,29.28231635237663,26.06327355021598,26.225996011525567,24.273974610072596,23.19774174768825,28.6219581275407,24.55680554058657,25.47481849412627,29.749237510383068,28.433616948564172,30.018191494628486,28.807062514025493,32.74957642668301,32.117885635888506,27.588976962520874,31.17384308454998,34.09444065224379,33.859717666079774,35.996550901153256,31.781824904108472,37.16599357733738,39.26980325075487,35.06261862055359,34.851406758445776,39.572641966850114,39.18783249962429,34.838123280976035,36.78526179423989,35.58896595625703,36.37463476798418,33.59614863105093,30.580246481642565,27.612681963594778,25.777462002857174,22.77600729873296,22.370335742153188,20.907261818105354,23.733247253228857,25.935690081534403,27.86479872254737,28.187712992256294,34.463804646132765,32.37677985852915,36.06053369089028,34.44961994513155,34.79050548980678,34.02688153448702,32.76806386708276,32.16582940325227,31.96352508318764,28.030564552987208,27.499055007910812,28.47266600158191,30.897498399933305,29.261430136013598,33.71936245342894,31.109013978882494,34.13739548309793,31.659953315767115,30.821445666616718,26.484455137190853,27.914096719749704,23.96830458750198,26.87567155442543,25.50192307228631,29.250669314544677,28.017668652357905,28.66676796626005,27.768419911730206,27.407616773572194,28.850397598605188,25.657351402848597,29.22564624085258,27.891966341729127,25.5480698398259,25.432722181107938,21.461722253576536,18.647038837174797,15.956107512667629,13.086915306038676,12.076223201625957,9.489151545141315,12.144310913003098,10.81475218215748,15.698507443462834,15.61387743958067,12.552051154063967,10.968581260627284,6.389937341967635,7.026401304139608,9.371604070208896,10.482323246664457,15.302059941471366,16.35123367887215,20.017737466188077,23.272382180918104,23.33106389171756,27.731321492575457,26.34139591145395,27.31482539547279,22.29390396208112,18.170836988699953,17.330592773707018,13.304582027634424,9.783158122347608,11.896559159607495,11.317510727034364,15.905574259447185,15.576083368284484,14.240847034071873,17.875051234353194,17.798178921057957,15.051344273386666,16.664722580272883,18.233780040274922,17.790678439601034,21.512037587261158,22.52373821000151,27.36684651548593,29.15802593825647,28.453967770282688,27.30012910465216,23.70439049128237,24.35495537435515,22.51705464999213,22.39625697588698,19.285529815882246,20.68520704378213,17.373646897004512,22.03670790873797,21.930116270798848,18.71641028664814,22.20133312479994,23.145513366226748,21.715214241489488,17.735472158654442,19.156649814439124,16.892787580214748,20.926604546335525,23.02444712818009,24.41781729983687,26.716176971419245,25.075725136866566,30.591673500740736,28.68077046185188,30.18693717027372,27.90755651966185,25.602010220793453,28.978717443030614,30.521667656283412,27.15776516732917,28.641758326561458,26.585542181970894,30.97708603502713,28.598390429699794,30.088107400444827,30.414077242791834,28.146959261546144,28.25988923393144,26.98864671749581,28.572980139456593,30.09298714290705,26.272485074519615,29.12036974166638,28.24112317071832,27.594063041415442,31.583695384030776,30.723290748860936,26.64177321945473,28.404158238555837,31.970332057207166,28.54044904260596,25.442870514146442,30.354144849468174,32.88994179892539,27.75449239613803,29.176192979919655,32.86199381699208,30.735995188590177,28.134504003496776,32.19343538533112,30.74389927959307,36.40160270289448,34.5238119593999,34.44754819364553,38.09288629616759,41.58730807126325,45.211782798408855,46.24281044865107,47.21386782258116,44.18733602692149,45.46001309729205,42.093049919415186,45.422514416210696,45.23290413580899,38.79526838085551,40.35004477774311,43.61647672647726,39.916208017516674,36.84505413868315,38.74282911630755,39.531459219331246,35.87638886230974,32.77310017492809,31.75981981005451,32.83671537401606,36.415232548288564,37.15565929793551,38.788552626336525,42.19963756077101,38.75903961285692,35.34244696790437,38.952462163063856,39.072469460136205,34.02203222833965,34.248915386797606,37.23091713765028,35.52337206817428,33.05146803057941,37.95239704978121,38.870634762693534,34.952014890212865,36.66065074343036,40.460746894134346,38.921762349620934,40.71881502294344,38.55455741189034,41.90425723212206,41.64014713526419,35.881734162640804,38.065265437617555,40.174923963103986,37.50933936433462,34.52225748864883,40.034270367618355,39.84047106334364,34.31716605406132,34.978896044359026,40.05997934887458,38.71877317233154,34.76887910314229,30.745090936221914,34.392871467108314,30.758896797164788,33.27252022458605,28.094555162968483,27.762476784942248,24.53326293294478,23.478706492630025,23.531094431470784,25.62337924002036,24.803952504625123,26.81226321240102,22.03815367243828,23.76412039879342,19.13408898539005,21.797469843904047,25.158845523768406,28.413376696789967,27.129069957237938,22.82075240140341,26.00768407292173,28.024938922821224,23.220093384769594,22.649046240360995,27.30065836499465,30.21970508953019,32.16843537428866,33.29201832886339,33.801285393877514],[28.30962277042662,25.197950675439987,22.506979819943698,18.185213138076776,15.501650919131835,19.114997955873555,17.1862987954605,20.975036436745178,20.795729509537786,18.400676727534318,21.607201849037338,24.889433033753882,20.560711003143382,19.20390694181061,23.576991919962865,23.684842654350042,19.372204931738626,22.23174755580719,21.897973548758138,23.34961896992442,25.395083669522002,28.261064613126592,27.534460613910596,25.701488470452414,22.798062696980924,20.505948949700674,19.230713472806737,17.573182462431642,20.98809056944423,23.05600477464597,27.65344789237556,28.037858684518152,32.393177784455496,34.203913523794796,30.67949482163268,27.22106429647217,26.876434631168223,24.035918521801815,22.049614496258865,26.4595869251959,22.22052460572966,24.434709255403348,28.22654061039267,26.22151321263341,27.77168999899759,26.02652401908219,29.762212386968887,29.223981357423853,24.286092028257382,27.11360974948534,30.552508138918203,30.216387319164596,33.007958839033684,29.20014964163154,34.72532129691531,36.955805290245856,33.03730892045451,33.45320696281137,38.14376770020412,37.48293518166806,33.84223729765904,36.59029251322107,36.00932224281727,36.786256827133066,33.48132004962097,30.695071800529202,28.728250573406616,27.45535128791887,25.22279976050615,25.613107058873137,24.4567733539651,27.621374876721397,29.351018698201486,30.4052864502699,30.592141340012684,36.43398142096543,33.5326758992969,37.35879488788399,35.06981337628717,34.577831769040415,33.709385745858945,31.534315188753034,31.163445011505683,29.969687360341496,26.01107231972026,26.5345610962148,27.893272995277275,30.99828742187321,29.846937521071933,34.98943124005181,32.9722694363412,36.51317446329118,34.48000031671168,33.807356272140005,29.717216047707115,31.79255173526868,28.10231195983367,30.04688477128351,28.587136933794145,32.106162805421974,29.945441111996523,29.888827896832346,28.321786152938557,27.328958622967747,27.33281974321778,24.318264763360503,27.35559343471089,25.329992171481827,23.535311509805037,24.25867238726556,20.867879004373126,17.986888526985954,16.895853458201987,13.281383286393526,14.02695077040029,10.747601321102826,13.497559256788017,11.189763607684743,16.971875536183596,17.911462204702417,15.691759319896148,14.682779579781458,10.006128597421515,10.203857009905306,12.241016028686158,10.28898058085449,15.248023748413962,14.817522126037034,17.846363797789753,20.683271450600515,19.77300046288029,24.018807715875756,22.024283587107004,23.873412818028086,18.286451288683196,14.898660282932697,13.308353765196816,9.420701932740151,6.011288552820824,8.843881235598376,7.853643286247077,12.6626512791446,13.903803889140056,12.516791450928258,16.132934197069396,17.459459626032174,14.746822950619196,17.20763626009285,18.49046324108067,19.31729810219002,22.612471099448882,24.92284979659613,29.34275987645521,32.17696937855566,31.516042822729677,29.616518255436766,25.899080023841197,25.52795688468469,23.649675096876834,22.08085694189611,17.895634433586302,19.791493578088346,15.056896477322367,19.668417394725466,18.17127628200991,13.79788446820978,17.003602921094167,17.228274678675604,15.792781082499745,12.02026008457924,14.095341440030484,12.691557003894687,17.456217986417126,20.32608979668558,22.609764622369166,25.483969955142346,24.896904341997075,29.96482836158585,27.191341741131197,28.320675380806843,25.048957565596176,23.15874728437053,25.414400560353346,26.35374365173432,22.99116944227342,24.804891726890823,23.354819013906795,27.27603055842309,24.24499575600304,25.277917824229206,25.101231620805592,23.16363977073622,22.875336550264954,21.755388154426615,23.491966744295272,25.0919766791193,21.715264551046076,25.03300063020552,24.69449132920595,24.835131011715546,28.98740981490766,28.955451866545555,24.965623566393045,26.34004267408242,30.37409003591301,27.754011820684127,24.26660666198576,29.127566966313044,32.42635258492075,27.87151117951998,28.995498616985063,32.87442528261972,31.549678968916645,29.007899549570702,32.56311829742105,30.471182054329006,36.17106882863023,33.1071241060759,33.02646408614348,36.915030032062944,39.72995155301541,43.83877731635148,44.00738881629782,45.0663830708446,41.835637807331025,42.95435420413536,39.63541119071297,42.39698836279918,42.20158641066402,35.82468738818445,37.102864368307145,39.87783756901241,36.2113631570567,33.10779599392053,34.51748989186376,35.13804409818375,31.786170720180834,28.321596783869317,28.190945064400644,29.485298944898226,33.208809575964885,34.65578686732063,36.607084743608986,40.4887477604572,37.29844684328388,33.598912094012654,37.72048517572493,38.37192606596146,33.38512124862532,33.503867657636704,37.11272943262479,35.912832279569436,33.21934690002828,37.83843321591901,39.36723961698021,35.91501303316311,36.96107670267049,40.50864785122813,38.455913418229414,39.839125375793316,37.339081727898694,40.1923489917082,40.240126069579034,34.510335759956675,35.96557082161625,37.97913418341761,35.552138570466084,32.01765537885818,37.07372284791368,37.10152191401803,31.643171318377153,31.59203673588734,36.55290993153815,35.49734631208678,31.61578625883849,28.101289467410734,31.403955529411814,28.305261572227717,31.50320850986229,26.747392003505183,26.467361967735016,24.216174690220868,22.727622226762797,21.867865936738372,23.118802033075326,21.793940425363843,24.13446241764742,19.793772981442803,21.178264027717088,17.36190037458482,21.132035935266373,24.709994098458438,28.257482470010867,27.71062206299589,23.356991942879105,26.66311125743291,29.369635364785186,25.088639396247146,24.44162421859749,28.83835922362506,32.28538984574771,34.1440340726892,35.05804770458686,35.474356706900124],[32.15265628580133,29.14002062229614,26.65326842856957,22.15309313445024,19.75601821820998,23.211961871506773,21.139663355770008,24.78762465001531,24.20988201496206,21.324150821867285,24.17533175047316,27.70159794974121,23.086124094360656,21.296155728870225,25.33775313972751,25.53949837868887,20.900223896906656,22.979688406054535,21.599967783294854,23.302729252832624,24.621743300358556,27.432269655459432,26.202628972980776,23.91009598550855,21.58667453073511,19.48407116614125,19.056517913310294,18.157075004607705,22.062607028445438,24.80769033417596,28.877384456324748,29.978154289358653,34.200801817951294,35.50340696262245,32.05950972747493,28.25003590697205,28.512755241242346,24.871257052911087,22.740384326044605,26.969566461983955,22.06917467721743,24.115894554304123,27.754298830850253,25.33143342973804,26.232438481736637,24.101668867405703,27.838426914341525,27.945573666937626,23.076202746383625,25.886349315587793,29.71534602568483,29.907010013548273,32.65682981417711,29.207966702966395,34.87319485941151,36.55180459167228,32.45410049509888,33.451882052049434,37.96267582994117,36.7042362867782,33.15793620513303,36.110916844061286,35.87046613061577,36.01218117972758,32.62609721130247,30.380726419463844,28.108666442981512,27.465513788119228,24.88602479344364,25.903968397607866,24.37617182883565,27.2495991449009,29.312934543606143,29.910056506212076,30.76565538404486,36.40445192139376,33.62316770614746,37.74981377061,35.540273427807094,34.87391305220606,34.598945234434424,32.4193078568741,32.73835002540285,31.37657589911827,27.18792669255478,27.885346655958518,28.639384519483702,32.292725979313275,30.49009747571303,35.911238415546904,33.678163066357904,36.99649779502883,35.294658096483616,35.078602135291874,31.248059855116924,33.31976272243657,29.848440427388876,32.17442303284437,31.141963591715335,35.07853828038937,32.55973641704724,33.041177607594754,30.99415002271373,30.527049774076087,30.2709305344549,27.700121439205205,30.813465978489784,28.795493042062553,27.362578360698453,28.07482584384973,24.903435996653922,21.703092959879182,20.658309994997367,16.760123823684964,16.733313357044885,13.017746159218145,14.678293445075223,11.315029217484039,16.258320875907557,18.311568388742927,16.116031421447374,16.04598613734713,11.568501801707699,12.962128804497592,15.742524167503502,14.191305594986165,19.437913845595748,18.752306180863297,21.687770001302656,24.073852704571227,23.167664462719248,27.171746044335073,24.687861872067725,26.670342155863704,21.038984459503727,18.035391225025695,16.75581690072993,12.744348128601844,9.221838431650308,10.891972962721889,7.398230667823312,11.368082079855995,13.460157282484365,13.210996575735011,16.766024316739436,18.82230997660986,16.610649457139196,19.73770377822605,21.571065833370593,22.708690526851395,26.310316219411842,28.522151800016108,33.02482249923443,35.822501570447585,34.84783907086172,32.90772082599567,29.02757319828126,28.881916849720895,26.51704377647658,25.275722603566663,20.62893931950866,21.729123048596207,16.616658926654488,20.910997466857026,19.374095562713244,14.530512960439596,18.241505317602225,17.768074188624656,17.179178121711896,13.674796862451721,16.246691269098456,14.934499809931722,19.494470745425133,22.394539725843014,24.7057866370557,27.938503986015593,27.211104138264368,32.23284154635354,29.075871255482085,30.46755549497153,26.817204550807602,25.804913069513855,27.611143867198265,28.147441757260758,24.667855576062212,25.71660586009987,23.926110471171004,27.430146242318116,23.676085088296805,25.327120871063197,25.238309568261194,23.942950135287365,24.064032189530423,23.534906671569015,25.590933511981586,27.49730345085727,24.621050513399858,28.19968087754168,28.19231348306018,28.604240487689676,32.80802554256451,32.97934911771351,29.041107997011387,30.31560331952634,34.442959449191505,31.96353314463036,28.33567896150116,33.171553431738886,36.63129309407765,32.053670495766575,33.04677993191881,36.96524535748401,35.708173659625196,33.00861501368343,36.45435253133469,34.29814312806974,40.1040310342531,36.69032113491478,36.83727067643012,40.80431984755077,43.49891181765681,47.71744330183653,47.73834039458147,48.901489678158775,45.64628647111256,46.73406453953428,43.43955528776152,45.98245738474264,45.78464321222818,39.47147345365616,40.623772422765654,43.15251039890301,39.509472776379006,36.432208793290656,37.55300805793951,38.03132421861269,34.857232751132535,31.26791626977774,31.628580172631537,32.95899826686998,36.72577887021407,38.45547018905421,40.423053303655664,44.42836088682225,41.22610565423562,37.55876778403619,41.81816265205723,42.49980080058547,37.52898176787133,37.704693703216996,41.367050412822046,40.189070515601735,37.49707620215156,42.093491432069165,43.64967224781267,40.17846899848686,41.18251558405131,44.7239187312547,42.618373111521606,43.99067252090315,41.463500583445864,44.20210204146035,44.26409986841671,38.555511297159846,39.87893165835908,41.789359684248105,39.38130587311057,35.76956954920335,40.626713767773595,40.58414293719029,35.162412740619736,34.95381702448517,39.74335409747197,38.627280434408284,34.76744555333724,31.3972457344185,34.29335761268623,31.204970566781082,34.74646228706813,30.12018758581272,30.197903811348837,28.119318456959615,26.239251469965712,25.400900972127015,26.321273173009736,25.13671358572541,27.79345340726477,23.746597083156892,25.07566142645117,21.4771709420042,25.37407579132979,28.912895504018778,32.50497244024616,31.882239375654827,27.608960390446892,30.948827884190504,33.622553248780406,29.239441227944987,28.62149739262525,33.046305415777425,36.45557500628957,38.33211347096522,39.22859753391182,39.58510858238887],[33.750639967149034,31.013157209791597,28.807168408713213,24.125522914893626,21.91529570852572,24.152114324886252,21.536114713384322,24.73370439202995,23.420667639026377,19.878122391295296,22.17218454386979,25.931976972357724,21.202919789625287,18.853535303541566,22.493964970897633,22.944319116833622,18.216709138722432,19.718766156504174,17.821489056443248,20.123967934040877,21.20000050587323,24.43609305239047,23.092219532814134,20.961313440302693,18.812179385535135,16.169619929706304,16.414403887348694,15.495014599216686,19.428791109335062,22.58020305082955,25.778196073936495,27.658832493920972,31.619097752937986,32.61866134516178,29.484927494411608,25.522947049376615,26.488740131518302,22.696362612833983,21.003194969853016,25.794804586307805,20.63214905806894,21.691262589380525,25.567464993330923,23.45020779180821,24.14814231297651,22.370256248966943,26.284009088927878,26.456730624506516,21.99656848090543,25.490687787087225,28.95710401765871,29.43755245112231,31.609946199722213,28.035047492479208,33.671206892728904,34.95874603457111,30.56780916868317,31.431551278458183,35.867353957572526,34.5073944778585,30.535730407486895,33.117544132617894,32.72468516746698,32.56072556721304,29.40391162311682,27.289436490121908,24.368527629068694,23.840282185521527,20.804374112604343,21.992857771047337,20.201117288648245,22.87728682898103,25.155335336269605,25.72250260018656,26.982233092593884,32.64229667990471,30.25854060844656,34.50522879170102,32.656928073977994,32.314816647589424,32.48404855412412,30.848112842499667,31.527575218481587,30.68339578885733,26.35584756331447,26.493103857328617,26.58396920157978,30.25173212146251,27.74249116112178,33.036062332272095,30.417912088982508,33.3986429823425,31.78640846084665,31.863367210272358,28.21076523307665,30.136659405641495,26.866177200299973,29.68068034687916,29.116279919774133,33.5330974650613,30.902951880895642,32.236073230572316,29.95188850964812,30.366370666309976,30.649846813036593,28.477481324002483,32.08886868727248,30.617415121867335,29.327134424748674,29.387410644463827,26.248701495688092,22.50914081002813,20.893276862765923,16.90323976220083,15.470579521961568,11.670610945572667,12.185118273441967,8.441608847104199,12.34963024211073,14.787997479923412,12.474777631862075,13.149084276259421,9.311025263498163,11.888586622468132,15.477184511027149,15.092549848927893,20.890876365194107,20.36023184440588,23.66889865694945,25.72111497674462,25.756237677750608,29.647607223359046,27.099624417699538,28.357533902589196,23.121624665126564,19.774178619564353,19.646090058344754,14.963300271684442,11.016359413434047,11.450173933554716,7.155890921986121,10.33515901560854,11.40902277903433,11.910489274457618,15.39421508132819,17.12938551688658,15.343177186612015,18.656935661618085,21.162185025125403,22.20656432339942,26.327764298353344,28.01354850666705,32.68045834620839,35.21785097218267,33.75160270395649,31.92027691335049,27.906124556638325,28.37104120675908,25.468775202390116,25.239312505376628,20.693653501232603,20.784496509839588,16.283396278193614,20.376592598211815,19.941240064104495,15.97105620997329,20.28093004510778,20.38820284951091,20.391097321561222,16.623731746628682,18.769496319579762,16.58098596549457,20.399644071744333,22.73078617557612,24.445589313575073,27.640792828798904,26.191578144598708,31.39858259788305,28.430394771368555,30.299164022579234,27.04650574270763,26.499313470370844,28.797021826306228,29.54563617277161,25.95359121380042,26.146024507586972,23.61766245449766,27.31974720807987,23.836630444533768,26.23618361019609,26.78092122426944,25.45810459764712,26.350819733065308,26.10470692564107,28.36739501474416,30.620661386309404,27.817398815210552,31.34066716180353,31.468563187820067,31.335845700784976,35.75589579197289,35.437862991004046,31.504842239398823,33.33468603678849,37.24837782410544,34.40449582823767,31.276082020299565,36.170128781802006,39.13422809795612,34.474716848343995,35.79909647536229,39.60940622685596,37.89155607766886,35.374092067316326,39.17556804997819,37.31725764067611,43.040672875006315,40.25187244095712,40.20852843186084,44.05095875054084,46.97481301906806,50.97763725430677,51.24068471728124,52.19580528794559,48.88641326207506,49.83169018266495,46.31044068941352,49.06442010906085,49.12954033034939,42.7639634479212,43.75506454658613,46.62514280666618,43.14550534303248,39.892267340000814,40.993825672459046,41.88834538458251,38.73848200726077,34.86041845796096,35.08198813475772,35.82540738130879,39.588098060000014,41.204142705012664,42.775933095846106,46.66628025407157,43.12062887696489,39.79480584743735,44.08059337349876,44.317967106426885,39.304878030668114,39.88927549514786,43.28524263962763,41.862810169132054,39.50156526660724,44.298731510509135,45.56321065605689,41.988480637118066,43.46518807994957,47.106440111396154,45.25866552787783,46.647853189621685,44.07981749410971,47.07763477841749,47.27174038614717,41.53093646877846,42.98412485216773,45.15950494653034,42.76753446728164,39.20848956432867,44.25855242762046,44.393191753763965,38.93996850395099,38.79356276521899,43.7471716334216,42.736228009540355,38.859213630124415,35.350891391244765,38.50912092299754,35.29748187985733,38.566953673512224,33.73372960609907,33.58603853283438,31.043113793665455,29.548804020533854,28.976403541804792,30.27276523191126,29.063516675494593,31.39897456398945,26.906251769468938,27.987858289251324,23.92555888770044,27.63851989612468,30.667548667755565,34.266621846686014,33.017299414100904,29.045947500269232,32.69766391189414,34.873250117795806,30.043469987071184,30.009099105002306,34.62943745369677,37.67346220755263,39.6424210281897,40.71037087922302,41.17538669970743],[31.772529491232618,29.17131827351672,27.032312657217222,22.42718290855826,20.20391428308613,21.620785453967606,18.71764218777603,21.653167635349003,20.092807781213256,16.389384153654888,18.591452218266713,22.37134598676968,17.728554877617142,15.272247153437355,19.01369008093502,19.571951446404224,14.96778477663188,16.864832030095666,15.671751628685602,18.158029337735865,19.831468613009307,23.386871304994628,22.476572363982655,20.90331376596635,18.277678160760843,15.111453193393254,14.90635348757501,13.161412981329077,16.708028730110694,19.573254191500588,22.689795825520687,24.485001498160592,28.421307457340053,29.68621769068883,26.663304507346492,22.87926010609873,23.784391131933663,20.580303163486207,19.300819064670826,24.630989541017026,19.887554159818507,20.494324217542317,24.672810480094373,23.11333610674381,24.285702173536276,23.044657870520968,27.029704986644866,26.676291501649064,22.381796347957632,26.244116196253387,29.185628376532897,29.39241085412712,31.276142125385366,27.315838070671862,32.81685469849683,34.35878128406255,29.94881278389049,30.2211396260672,34.77864909610243,33.884973328615025,29.578959169172386,31.753717894620795,30.95474276916787,31.19346667968126,28.250679473395323,25.70038822179574,22.655162719841968,21.555560232823474,18.531722020936098,19.19088978089605,17.569950934808176,20.47376842358371,22.574537725267227,23.600001511437075,24.45971176656385,30.38522094859609,28.12382297254604,32.18869730758732,30.486981865592547,30.50751970409059,30.42707546998927,29.133399670207265,29.457384162304642,29.077977754399953,24.839868526551328,24.469109638389963,24.66060569050376,27.873109788185456,25.469646682657313,30.459514182121993,27.76618898445638,30.764984355253127,28.883307248053754,28.728398537205468,24.91023310102111,26.764592884813588,23.38492298166526,26.237750369932588,25.62373731147875,30.058374886139095,27.635311131306043,29.122912349495984,27.060786310010798,27.661999949193966,28.508001814220755,26.278427372012775,30.1405992733323,29.03116896038184,27.600415318938534,27.234332513770894,24.001450653647442,20.142509541606632,18.08091404998801,14.252921506176982,12.224242522866348,8.603133957579997,9.194156878415754,6.133729712224643,10.496180621772567,11.945583526981622,9.36137517720447,9.635908914529823,5.8180662970128765,8.67240868133666,12.48503340461721,12.821788926990916,18.711963812560082,18.46710932152696,22.025597958226808,24.12154544903748,24.763286854640782,28.694645737421194,26.45862168154102,27.171366257469884,22.260132072363284,18.490411260187855,18.939711029159685,14.033899015069625,10.041313051950139,10.204211522982213,7.352193714931873,10.887862150160123,10.53658803720001,10.416476145272702,13.949804825297988,14.793920357577756,12.841943510447532,15.77409966026636,18.36587652361448,19.098931936575458,23.372571626457066,24.755868906403055,29.487561399597897,31.87166528685993,30.29109431134305,28.569541924986414,24.573725917715663,25.29929213734709,22.38914498313785,22.63044733986356,18.51753062820936,18.528629051487787,14.753661224814572,18.98220376464062,19.264168685120698,16.15496322126086,20.430047080682368,21.30713015269096,21.069158944754435,17.026914340895583,18.614065033381763,15.86689099791047,19.314544412556707,21.246256500144327,22.544909073873555,25.429805526965072,23.59762128962562,28.991402545912106,26.45401425933218,28.42027689771318,25.720965942042902,24.79926294022805,27.732552883986756,28.903672630696686,25.342030082034306,25.611697429832432,22.92400344207538,27.07590160219601,24.336947173925573,26.640267152116493,27.45042383685406,25.634111256988554,26.654026345008898,26.15936094196616,28.309822865571324,30.542305745394888,27.480233795069115,30.769242513561814,30.76379073710062,30.119475905024018,34.59484454990938,33.834882197379564,29.915509851267444,32.14672194560492,35.82327930863705,32.68445908055068,30.011670909843247,34.89987494917595,37.415285756728615,32.76999323297527,34.38328124422899,38.0635116896379,36.02347171753622,33.75884697271055,37.82754739672346,36.209990793263366,41.763291021895704,39.60733331916446,39.29156080050317,42.97662273487157,46.0976664044614,49.87688749590117,50.38254274332914,51.137022135512034,47.82112185847982,48.69550806402667,45.03741559939992,48.05667352001176,48.27896046211783,41.87832572766692,42.84984978261896,46.07746967386386,42.69782141931758,39.34141337734227,40.62396792908932,41.848584935955365,38.60852564783587,34.66955747732198,34.4856792712903,34.84324950427485,38.5475760010821,39.889953428556254,41.19419777285901,44.90468360933381,41.17056253796395,38.058954719394045,42.238340610847075,42.17273364252537,37.151105401685534,37.95821592219746,41.125083844469515,39.54111026530765,37.41050820533977,42.3178254138611,43.373258134661086,39.772200152084004,41.569141762668295,45.25253602009012,43.611526641310775,45.005650274477595,42.444150371154855,45.66230645208608,45.93016588440933,40.19467012166369,41.803227788090766,44.19746467331204,41.82079521286325,38.36975041478389,43.632423308188464,43.91883576204169,38.463354377603395,38.45190790364059,43.58527326049317,42.68500376925106,38.81127180464645,35.16068568850977,38.71635806446255,35.453273394301775,38.31751080447432,33.31805486168033,32.79918150698737,29.894840235222304,28.912961606028873,28.486805749413143,30.188513397724602,28.88714764495066,30.79902896315303,25.920287449459437,26.851713400106338,22.424516839775016,25.87057037852156,28.538598511871005,32.08112517188523,30.46436335566982,26.69192287807004,30.49837471750792,32.34291275046205,27.318210506097756,27.67604319031081,32.363662225414124,35.16127944308405,37.19010075253405,38.35712114077493,38.91687323405047],[32.97582992569707,30.635202965835624,28.860146841747916,24.11848785540392,22.342115574545286,22.981860614204198,19.980737374019455,22.63580322997492,20.45291015007194,16.491975120467178,18.13097376954849,22.114093676530903,17.717007818903856,14.616730653871304,18.050302307984047,19.008438086865095,14.581338002465005,15.992430908486298,14.443460478239672,17.61284319626817,19.056828711403842,22.972377571295233,21.97776698797088,20.588923644526908,18.24343550252651,14.658709753479418,15.108540467804282,13.304715474064919,16.572143791716268,19.59001501736366,21.73884181363339,24.21236178718605,27.839830008038444,28.942518002094584,26.29120387885525,22.4995888349679,23.974591169301426,20.874544929443417,20.035822831324023,25.649018901365817,20.87348878832077,20.676649526250777,24.945895123748564,23.646937932153232,24.581658902893682,23.569816134530708,27.56545257393574,27.373220547721353,23.443543177167893,27.621688814922013,30.336980635269903,30.774135431775974,32.268969353673285,28.29119167059357,33.68297721348101,34.916211807914095,30.34856898969391,30.515249579224456,34.955645508419295,33.986717446051124,29.385946499993953,31.189278118754345,30.229135383477384,30.19288868889995,27.524184144087762,25.11868689883187,21.422902145810387,20.35827163954178,16.752309682954998,17.385632456231093,15.39266876148682,17.963383337751203,20.460303660279582,21.65248788346124,22.93885994088797,28.92316131219729,27.154556214105632,31.26003248456832,29.955562625200983,30.319035838774298,30.575048301487833,29.755213833826947,30.274330715662792,30.296631073100038,26.063517561002435,25.271872832478508,24.97347439917063,28.0520642498445,25.115547824232955,29.839036723042582,26.775613725918248,29.371209097622632,27.489877508165662,27.53595368157689,23.836806381850966,25.399354996663845,22.141749289621774,25.567140986874698,25.298228386151255,30.020789889763247,27.75700375851982,29.8385713502975,27.801910742936016,28.947494898633277,30.238520146833462,28.186495286411574,32.255756312419045,31.432726363854428,29.977959615421767,29.288419567567686,26.019958960396217,22.08786751598534,19.603390376344986,16.04952704849591,13.132727753547993,9.98177678431981,9.607418351741774,6.970706863750938,9.395243151177091,10.913636445134093,8.01455446330627,8.964833475779518,6.3790763746055426,9.814169709523938,13.721373674343722,15.01691124090048,20.77898746608544,20.833624834403345,24.508095723097682,26.538143997245285,27.532879755360888,31.423218529329997,29.248631274807504,29.651866746096164,24.985988201919735,21.124916456803373,21.87010345602775,16.944209371610746,13.022759318791811,12.855742581688688,9.995669768955752,12.638124869857078,11.672757718041842,12.072222858329082,15.26575449970737,15.677328375346397,14.11565412010161,16.83564023979091,19.718523234400845,20.144654051019444,24.613410161758466,25.449813105322438,30.25253862556571,32.245775235062354,30.448957228025236,28.971208830728962,25.004487468533497,26.236938782778545,23.124108779288655,24.11669757879919,20.33363761744146,19.76741098373926,16.651953198504398,20.582824354208142,21.47584571088276,18.803505712750955,23.19698669985628,24.17949539237863,24.12459865310518,20.084941473197684,21.56329798025792,18.617521582706413,21.66760752984479,23.243380177296057,24.132561788582862,26.85977714989289,24.53824267783581,29.986745957269587,27.707790742745445,29.932655435909563,27.56181003092455,26.843053516674992,30.026810100392105,31.298167776961204,27.740137657882478,27.59504092711647,24.55317892483514,28.705270284387872,26.126831594250845,28.794070919165673,29.85959466831641,28.109768931620145,29.410218853590028,29.027323866633605,31.21743523505977,33.52242210742375,30.453971706173707,33.665514655497475,33.61401478504833,32.764286610226584,37.22929616101571,36.2360373667941,32.32718030061888,34.703411747556544,38.24191859615539,34.891074092758416,32.37729894776767,37.25992081479515,39.52610778995211,34.75189660182351,36.45553595283401,40.05730622952836,37.759698659254255,35.50372152961626,39.705544451358676,38.291712506917435,43.817597007151214,41.99422804876041,41.6974204731845,45.310472076521975,48.60514377031219,52.250049893992816,52.98257156165691,53.693244011832896,50.424282307393426,51.3026784541238,47.59783862412647,50.75173055345591,51.0259393873947,44.60902843151592,45.59689146318915,48.954471433601256,45.593785781928716,42.22346291532801,43.56233401061354,44.86906978225507,41.59482323648877,37.67366382355372,37.35499159998983,37.574760691828324,41.24618937981355,42.448643747313675,43.601018443985865,47.18004764127773,43.326263416181064,40.37519049195884,44.446195112322364,44.16043088765778,39.147939683839994,40.07150611613284,43.02158751095878,41.27110677994109,39.281731103191944,44.26807709876499,45.10619122986781,41.385068902034355,43.42798906417423,47.17772402565089,45.71303278827694,47.20596094069684,44.72273406676155,48.08153987295993,48.30001783156462,42.56868409385909,44.346906911993095,46.78697850862909,44.36014909508504,41.03659584312154,46.40052561104147,46.64750367389468,41.17531997181813,41.317528713187215,46.47656770641708,45.507653923557065,41.60995713082479,37.84120740796707,41.432275262583005,38.02439050902771,40.75934674255774,35.663101893169866,35.17529610501113,32.01881925571976,31.118730326213107,30.94213472487365,32.81652479651573,31.65499811502535,33.520649355144435,28.54641585327199,29.517363327553674,24.925936810537202,28.082837985697953,30.57046937928905,34.012665592331956,32.08975389432604,28.46184358268026,32.26124260341885,33.80038338112694,28.593267719109285,29.111607944187746,33.844847721128325,36.41326091211616,38.45359593626162,39.71724726946023,40.349416495856886],[33.80343660784124,31.68610766089821,30.27974554132082,25.411985278766068,24.131452536697942,24.238108186329008,21.32792060062796,23.857933627812628,21.212865822562634,17.26919754058437,18.483356545986666,22.594919423871744,18.614564172998907,15.016734867723052,18.255650565716348,19.597190771756374,15.522334921765843,16.6305366959656,14.933606264927407,18.548223517492232,19.759759698010594,23.871866956132425,22.78446797857847,21.47528996757027,19.462486236257483,15.743509990540588,16.6448549362133,14.866513535343051,17.763105255236233,20.720213227311195,22.08349008857697,24.994830354578436,28.33481882138688,29.381476893958244,27.071608954296348,23.37133070634246,25.19508788017095,22.307099200025387,21.77682896242124,27.49099925166456,22.70193069608757,22.05496473966355,26.284791818347312,25.146029940303098,25.880455962794226,24.95574100009709,28.930098980662496,28.854368918814377,25.165411013166796,29.49528418929519,32.14476587234998,32.68187578660689,33.95018868141795,30.032211834060664,35.312556115529205,36.32841009241356,31.699329248371388,31.808332235670118,36.13518609729824,35.10551938232654,30.366543532688482,31.873858825359658,30.79390440038097,30.537184831013455,28.119352722982402,25.871389374291912,21.699400569260288,20.66665159284183,16.62711294282485,17.12441936750228,14.833179081984422,16.95199060690095,19.82710640624178,21.226887256254617,22.87276813506565,28.853225305197657,27.542835837610074,31.61601058956353,30.65466145680642,31.293279871141277,31.759489740627167,31.27857510514348,31.878675857851157,32.16171225195609,27.99437044603087,26.93867029362478,26.353972392072663,29.25766270397237,26.00490346065445,30.429385484667456,27.095682587671202,29.30948292135892,27.40371321129343,27.56219687185194,23.95083286562695,25.17681763591121,21.99273307586982,25.899388514238908,25.831379734754528,30.657229214714604,28.690098444558313,31.110092892512075,29.23148951255197,30.64922779505037,32.271129161265335,30.256916219847323,34.394180495244925,33.72360261499977,32.17288777740935,31.32689671004637,27.977910220330976,24.135979058682683,21.34146608452244,18.09626941000472,14.802575780516813,12.123446837966723,11.451116122561354,9.407687434154672,10.373288488951571,11.72002507046097,8.725692505439634,9.844184511519451,8.247527236796678,11.574514802643302,15.266198890534007,17.17557142081512,22.693117089293484,23.06072509265732,26.78379395214165,28.87599986003491,29.98762575432455,33.884611972532525,31.796876198177873,32.080258299285035,27.53718863457244,23.628680176476212,24.379398335415573,19.534006927452346,15.695904912697957,15.559654561988431,12.760340649599609,14.979057642715457,13.879295321505735,14.507082488175506,17.439969391272847,17.559435318389056,16.209204858310173,18.63115224910621,21.554673074263018,21.64602850251202,26.14270986697306,26.53345070330452,31.378399625996316,32.97122405086243,31.104441037902706,29.920314922275256,26.057083512288262,27.64344216467844,24.531305079046064,25.98008050424539,22.51847461618324,21.727980782500882,19.037697092935222,22.780772227836977,23.958617557446754,21.45022452755522,25.827380280703288,26.79013708467786,26.768691962245857,22.765011904469166,24.225980087794554,21.261411693303568,24.15706799774557,25.557343695167773,26.219937149268127,28.800634809911916,26.20118143769866,31.64805520376808,29.59180884379491,31.933600186144705,29.797600753295963,29.108118586994255,32.42492328406573,33.74949870099025,30.22274406623938,29.912357369360688,26.73873133437358,30.90434003140019,28.33424163523289,31.172600617324633,32.326757682010935,30.63393602237412,32.006106140319226,31.63208257934208,33.834399016169726,36.09997127348063,32.99764586444232,36.14196244199878,35.974821840190195,35.03843986321641,39.428940918241445,38.302114615052766,34.39007561942056,36.76480380790903,40.20211663985531,36.70059633334573,34.21390283452365,39.074051321067,41.19648837400226,36.27913415025508,37.98560770156192,41.52395617154376,39.05976898218025,36.74207167563336,41.00044928580062,39.74868817148237,45.26177886045281,43.65591163787306,43.44578684781476,47.00710765863722,50.46206395857389,54.031036597466475,54.93286318433355,55.67159658553946,52.47949633644281,53.42197846745876,49.74145070544732,52.99099177733997,53.231510244165,46.826850519931284,47.8971394408893,51.30180690334652,47.91341598995778,44.58227110857203,46.00460355948706,47.27109183420802,43.9375899677704,40.13976856372534,39.68685188455396,39.93923852026323,43.57125065245321,44.63233688157425,45.73361907491746,49.18862627018315,45.30967693781917,42.426720194518076,46.34471141687422,45.94882992943867,40.9564726454383,41.8693049827046,44.64304322455337,42.77035123801254,40.8330200733318,45.84983490741816,46.5187038761454,42.675838162046865,44.86155131720759,48.65864800305777,47.32420548512835,48.94492788634232,46.579242381128395,50.02793149451831,50.13005805191089,44.41456427837975,46.37053875747018,48.778497377837766,46.279120494083166,43.10712067886214,48.54564048406921,48.67469716817359,43.19313132292818,43.507431009113006,48.64752654230356,47.56288129287184,43.643588129212546,39.77323467340229,43.32106008017735,39.77903487526739,42.42526332499294,37.271933350481675,36.88758642193605,33.57108498983979,32.66705854933084,32.713837175156065,34.690984645416066,33.706073404764894,35.60067497645614,30.641192185624888,31.74111004879241,27.060098597484647,29.943517758598045,32.405713435001715,35.72084345410367,33.63307684767359,30.087251647820814,33.7551217559653,35.09444793936355,29.834832826407265,30.31889956252772,35.03321715437059,37.368206513867605,39.36220170355616,40.57501163762417,41.10842658312806]],"stdvs":[[0.5495079926312882,0.5443206065981288,0.5466025761527299,0.5220979134275057,0.5166136276536377,0.5661778167374988,0.5094104477964814,0.5091299120511477,0.5425124159962077,0.506001115374888,0.4963493021467306,0.5624021581077254,0.5173611624738784,0.528241383497514,0.6129796742635509,0.5632866431814905,0.6215181838130394,0.5933463694948263,0.6295043939754943,0.5776443386644645,0.6416836359957235,0.5827778883046222,1.2425972264468805,1.0743111884269076,1.1043638704137677,0.711011501698991,0.5954267319241907,0.5278424066560415,0.5634140795214517,0.5435901766333466,0.5987521047460297,0.5373170524002019,0.5517076184823145,0.5907723002584437,0.5633480088305435,0.5649441618386605,0.5477711540573966,0.5810252945998888,0.498415813990617,0.5301875312277774,0.5832424756385433,0.5532931440752313,0.5945984143816813,0.7510940179343248,1.0528465722871292,1.8996094330449744,2.011509072836596,1.097001628696618,1.2389355326158225,1.7799095234680138,1.3584841413592732,1.4480283688149869,1.2999753148206625,0.9836451588013588,1.2495537334354567,0.8724477912665324,0.8257400397548431,0.9654031130517269,0.9111827766669137,1.0643192225342848,0.7122488673226821,0.6875382854633042,0.5921097901497677,0.6289557181552313,0.6060497529186457,0.5865143457185134,0.6724030702930198,0.5812670322100307,0.7009632940962467,0.708649533295681,0.8937309250452234,1.0727484595445635,0.7217101782188086,0.828589812353264,0.6529307597090178,0.8270560280893358,0.6857565058096734,0.6027852344064034,0.6162214109269405,0.6849522210653887,0.5945782280488103,0.6901570703666203,0.7211726628171444,1.0439360195641498,0.8370477385855404,0.5543281294487775,0.5218256773226646,0.6802432368228685,0.5541797845763412,0.6256205453271766,0.5852001810192988,0.7690888843360228,0.6808713496258754,0.5800653103515835,0.5806177643475305,0.6714674736880317,0.7823482146369095,0.5916232293101044,0.5543480092313883,0.5530251701959805,0.5200748854034423,0.559329319726796,0.5032971398288224,0.5289186651746048,0.4711663314011022,0.5932807696008701,0.6945798261439732,0.563677839773965,0.4628430284502641,0.5053589925781853,0.4514843442273216,0.4490855498056083,0.4568749308472802,0.45752849190204353,0.5095168064239203,0.4829139702938592,0.49608444416293646,0.49948545703852376,0.5972544486039968,0.5150986563164686,0.5326660336086433,0.5544354828072,0.5136959624320204,0.5185527475214362,0.48680794218875695,0.4518563212867406,0.6517764086183079,0.45907852174909713,0.5113339897896784,0.4243809699473235,0.4297057594531942,0.4092023528820731,0.38675417454287603,0.37567041963642955,0.35832470921406545,0.3910216634966968,0.45096333360286206,0.32718228084018325,0.3978984464229974,0.505782472093067,0.4271826025611971,0.6627824946586769,0.49720398841965585,0.5450484317019675,0.5329642469456215,0.5063467004703696,0.5051785298633782,0.5332048082386974,0.4784023626118731,0.4904556627523429,0.470579106928301,0.5199602440091023,0.6251541177413458,0.9039897834777385,0.9246657593481092,0.5213782862102719,0.5580259295030534,0.5026936632826461,0.5138002405694797,0.5157354777403123,0.49729921348053946,0.5084520486552421,0.490012748104441,0.4659788149178692,0.5340275994178961,0.4510256374041441,0.5128061057770025,0.7346987271332264,0.6072024400595906,0.46765394589852977,0.36318726463971934,0.38619637582249466,0.4132800790712747,0.4384490953963675,0.4596189108452611,0.4602402742334523,0.48730365711899243,0.5080375063427549,0.5287340304583763,0.4563016643968581,0.7336082425224179,0.47765765137450045,0.5246071540907511,0.5009601049775221,0.4592517088714053,0.584579727639431,0.6749571015645814,1.0555844560481038,1.3758602504398094,1.0086777009875116,1.147066933440571,1.194643687965532,0.8880960628007615,0.8565949957360885,0.7703660580310081,0.7365580442167546,0.616325486869707,0.5932217291694952,0.5435213313909153,0.6922544981696439,0.5770698084893968,0.5919002075100886,0.5379283253607337,0.4884569800882375,0.5002281915396515,0.5576318619085273,0.5900499363391004,0.5633920272097397,0.5084955022312372,0.5728101313092498,0.6547206546168468,0.6078838508057682,0.5892363118307786,0.720520836945333,0.7907307594142768,0.9036538262554532,0.7901750261017542,0.8672687163075453,0.6864670100365696,0.6325832184239829,0.7131923642572155,1.456543099008371,1.2436519887715047,1.0855059916452685,0.7289020491305735,0.695043105095577,0.6926252504507835,0.7308413960556288,0.6921104711057292,0.7692617003254251,0.6388852981656303,0.7788122471573495,0.6815460761644798,0.6671121660342557,1.3216084800806271,1.0256504276276437,0.8428302096325262,1.2189263389645366,0.5518303761195135,0.821082613518105,0.6834116138325957,0.6905410530616022,0.8564252130803677,0.8578151396169026,0.9873721134795979,0.7558480837749231,0.7506863217078208,0.8577746975649004,0.861113658613992,0.6284406226774828,0.6862909144750249,0.764392116951397,0.6024892819667218,0.5740388971595506,0.6419888413911369,0.7089269071027218,0.5565945690196751,0.5409968292637333,0.5321999095284272,0.519336829920474,0.555405129868133,0.6055839415253516,0.5141712533633647,0.5488829797176873,0.5303794400076358,0.5564222419964507,0.5913844971446174,0.5588869203942948,0.6676417466714645,0.8311983113657592,0.7568790666787748,0.7414188371721326,0.9358392106716137,1.060068365482383,0.9619012162240553,0.8890588493606907,1.4854373176359048,1.620362710154558,1.021468063620689,1.0127397219169112,0.8506517331022813,0.850927856230156,1.1687892367514399,0.9675791243188667,0.9837227967014566,0.8778956286287116,0.6137727594142768,0.5307377772700212,0.49285238968839046,0.42866599084189966,0.5229542724415158,0.4911680076007677,0.47560972636403065,0.8925132256268812,0.6589094364131352,0.5899193715091919,0.6246805025928462,1.0225808882034757,0.5764519948505813,0.6007941223548282,0.9546600437360825,1.9034651131930027,2.298401790952891,3.151814569352087],[0.5636179812413047,0.5427925458629537,0.5479362854474016,0.5024552524863328,0.5245570468546545,0.5583832913201457,0.5111095376639406,0.5330713656318263,0.5607792320055024,0.4999216027412336,0.4833949709860483,0.5240508473538081,0.47053466711890307,0.46365214376217184,0.4727692800373222,0.44797913408444934,0.4412449162083958,0.4219158820524723,0.48044230875314264,0.441557595032974,0.534973670465806,0.5729732846693396,1.1036266094586935,0.9573807955251847,1.0113958297343615,0.596782540340116,0.4126062815758192,0.3547252349085284,0.4090519963100014,0.3979108534125332,0.43606941881882616,0.42143996743772644,0.44567892491670574,0.46014734248676986,0.44023588935629926,0.4225631321640829,0.4712957235105253,0.48396110922946817,0.42606774398442504,0.5225738871850132,0.5912571675698871,0.4814898717342274,0.49821717602740434,0.716930934892774,1.082810613867838,1.9243747217594611,2.0129182621280632,1.0704284686797643,1.2440071665994052,1.7562498759873304,1.2838614804733608,1.3543994394939793,1.1603957399657037,0.8947190705206935,1.171571404456221,0.7840326906032659,0.7674655277581169,0.8364536777980518,0.8289985492222859,1.0500774897088199,0.7031764735339471,0.659964411679825,0.5286878210711555,0.5679035443872453,0.5699055065358279,0.5042173331142626,0.6023378713228074,0.44073372500363367,0.5794415762658636,0.6047473928253644,0.777049851589024,0.9751152949544564,0.6237419307841755,0.6954368176082446,0.5716214126449967,0.7314739317437651,0.49269463546018105,0.45890239957320234,0.5120417786424292,0.6272632163807542,0.503771664673578,0.6501974486127156,0.5875186702086909,0.819030474889292,0.651112181130735,0.42258454495338554,0.4199837492759176,0.6132874463230787,0.41824103249638545,0.4940841326089704,0.4548546549792828,0.7210747525322344,0.5957739880617403,0.4451223475982112,0.4562240236004509,0.5383209943527996,0.6883223286771709,0.5124501366584862,0.5007284440032925,0.4847162283107567,0.4652410836588958,0.5571402628898379,0.4614124783440482,0.5167321389135276,0.4682139326615524,0.5827475237200379,0.6289373194311557,0.5419058645013046,0.45532322731863084,0.5265536127697923,0.4965468052099591,0.4393505765404284,0.4564497303475586,0.39640664927144925,0.45172687796508043,0.4221056394357713,0.3967856254465711,0.3201646316004412,0.4632776012669887,0.37647698016740777,0.3937938480877217,0.4201048742904736,0.4454305270112963,0.48029753920083923,0.4875690500388587,0.45209437141952863,0.6954626753116377,0.49825267261449757,0.5169157124857238,0.39963520985246664,0.40326691287566824,0.38125906038033375,0.3899323100589684,0.35657553015186677,0.34357528124334186,0.36959871133603694,0.41725318421533436,0.2878094881563863,0.26317219791821034,0.33831188974655996,0.2934118904571166,0.5936265136014072,0.34863723002170993,0.36477531060998813,0.3593745943338641,0.3714655832636813,0.39596978903935953,0.4245315341217774,0.427238143595303,0.47588577095035384,0.45616953011995126,0.5443182615977412,0.5963780643406658,0.9717556224707725,0.8650809739495059,0.4871656622336967,0.48980480196570575,0.47648342398112387,0.4555228873238621,0.4634695885771885,0.4195811150707076,0.4093918508301756,0.35505400362327344,0.3925433106100754,0.5185960922814955,0.5948345240905939,0.5170831726858912,0.7165299745121486,0.641120367642649,0.5871005129534713,0.4081306478186256,0.31555625512498664,0.33019983230833355,0.33982377388167695,0.34597929366072705,0.3753869382679259,0.3939745665107232,0.433031201302672,0.42458422680580554,0.4136085970723936,0.7525811880950972,0.4369976351494482,0.4894636167839308,0.5022345021695346,0.439918023486628,0.5099716228505955,0.6226691503695551,0.9522390424417932,1.3280525898550977,0.9606673605877452,1.0844913610255424,1.0930125609764694,0.8702745738301172,0.8145628512129365,0.6785392517347104,0.7109491571034079,0.5979708244856224,0.5499056383660743,0.4997108977785553,0.6774328190090451,0.5349361542543011,0.5714607136145915,0.5418319187782658,0.4819236146119383,0.4931465050172468,0.5798852084982802,0.594198755185503,0.572682401736494,0.5360412787464679,0.6021032916705635,0.6652561852696592,0.6288839770653645,0.6209173368060777,0.7362418703813057,0.7957356626258766,0.8967738611228122,0.8024311169326811,0.847560298451568,0.6874351508009938,0.646396608556918,0.7449112271251865,1.4803115922480994,1.2314324210272793,1.0495365550400624,0.6833652179280735,0.655328712381266,0.650082432471881,0.6782904832343296,0.6678163777680862,0.7348558693183824,0.5735655796264201,0.696542509073407,0.6541604697413856,0.5985117109685413,1.2176239529214123,0.992017326443867,0.8309024455522321,1.248971335132303,0.507357012003165,0.7814169143863227,0.6264678343969851,0.6445546571301468,0.8219004500103413,0.8001918966644417,0.9250337853807663,0.7277526436006936,0.7350237955510628,0.8216762545629079,0.833082489208281,0.6304294777284871,0.6942303147393956,0.7897548673369355,0.6415046826189853,0.5933594757574284,0.6788173913147247,0.7400618419963542,0.6019551134533337,0.5776985013968332,0.5588412400348899,0.5333165358001275,0.5454519214982876,0.5816936680176638,0.52486384023939,0.5579064470662023,0.5089670357219933,0.5481991473564305,0.6031816145766011,0.5484325553009656,0.6400011894297616,0.8253797204903617,0.7383847357402052,0.7061314040536647,0.8824407976149755,1.007549660688079,0.9190420275472824,0.8564597931562792,1.453341417020632,1.616106361613173,0.9924085805836651,0.9796719691286533,0.8278103409789517,0.8427731733815899,1.1355372824025851,0.9329723768755358,0.9536429955541659,0.8304091568996234,0.5904453954886594,0.5338537763344727,0.4862740175895678,0.44953422866319837,0.5906097650753452,0.5436378133661816,0.5254603077541851,0.8871800613417361,0.730871977121242,0.6499578634012433,0.6632301494047312,1.0623043311491698,0.5803948146158471,0.5912711875316872,0.9353126706626225,1.8758116299399228,2.201311301311502,2.9599217926942805],[0.6233786997735308,0.6366750702597171,0.6598119308110162,0.5700745677006968,0.6027998843108489,0.5670848703068704,0.4705430677078741,0.44833271240837913,0.4921940721588692,0.46333894966649036,0.4676711607278088,0.5113960240751492,0.4642863883864699,0.5024595337795876,0.5322275982432462,0.4471343777697268,0.42996425203503724,0.4764069308873376,0.5522938506155918,0.5047416048829927,0.6119831170435039,0.7112902376332082,0.9412500201219308,0.8880764139486924,0.9492868625781159,0.6324819130471455,0.4315223652165746,0.4626545163974726,0.44890403546153973,0.3909223153460518,0.4788943439049582,0.4248802613530931,0.4584568651442552,0.45862258579561826,0.44426910485833987,0.4306069561180859,0.4623117205239805,0.5149009154657299,0.45473720594654143,0.5660826641710675,0.6877493158072491,0.5273394763481365,0.517968762068178,0.7427536793135229,1.1823532667512946,1.9974931265503102,2.1098990802710236,1.1271760905948844,1.2819757159580354,1.7149922211787234,1.2363925523899113,1.3027418169759224,1.0551910230373678,0.7962351683151001,1.0827476999996877,0.6981087226768429,0.7669545035145446,0.7794494783890507,0.8075595861613704,1.0596768014288684,0.7705339682577208,0.6863438661659857,0.5592660631422818,0.6242629540217568,0.6455050904747286,0.5646067120747613,0.7055301507094395,0.5089068298166494,0.6429874268488162,0.7054924597477494,0.842580555838481,1.0313175776982693,0.7298610995016714,0.7471591980351097,0.6625635129282069,0.7462258848994403,0.5196943594784459,0.5049135793657202,0.5550832805142963,0.6377318394074967,0.5008639669694295,0.6877129380180818,0.6081972827260019,0.795495188173187,0.6707543690179301,0.43130804196593453,0.4383790812850228,0.5905484821104259,0.44937345125011335,0.5123490386401632,0.48428732632793187,0.8261021887280476,0.6534986141633813,0.48873906630230146,0.5014680018636327,0.5852283438455635,0.7096987519656925,0.5136367756789688,0.46384927446732516,0.4875982540175165,0.421913748245237,0.5355727936909491,0.43867355059803487,0.45572331084481754,0.47968732453651586,0.5468432891553824,0.5799935609245866,0.6148547925543016,0.5593193622735811,0.5690896557967006,0.4972225392050793,0.43361410944192313,0.39219239735066347,0.3211538453883383,0.44532028111444005,0.4637158830844182,0.5572373371705828,0.48871895463576176,0.6199360397567846,0.5402252360229615,0.5311737191965076,0.5040866520831868,0.5455395240308117,0.508262096521299,0.43580960627228377,0.311743174268199,0.6808318354345919,0.44942586629106707,0.5183217761660878,0.5115990448603799,0.5461995293445269,0.5563755962446373,0.5697294604264663,0.5094126331730006,0.5187816557928638,0.5675518538405915,0.6134237153097055,0.46338104125279406,0.3122411482114788,0.3232931383775599,0.4602619102624664,0.6217601518214193,0.44582189743980266,0.40692209786756983,0.3811487316557751,0.3923363989394994,0.4080926140586489,0.4150440181668755,0.37923497385080157,0.42251489736707354,0.43693006218858427,0.48337460487842465,0.6047459086135606,1.0732912452855983,0.9591141263849712,0.4535903130496787,0.44167148513793186,0.4258048814702829,0.40925040555594144,0.4185136855861964,0.3973278933440831,0.3809908508063085,0.35018964610896686,0.3824601314807751,0.48842207745430155,0.6298625114833455,0.5498508211329433,0.7763549024154683,0.7752227957102509,0.705777982413048,0.5140315839587117,0.3839380131819551,0.4077216894188094,0.38790677863658257,0.373711116445647,0.3963216386795278,0.41628418698204206,0.4509824076722276,0.4116659055729409,0.4187524541317715,0.7170243119948682,0.4425080367054547,0.5223628801092834,0.5781113365436373,0.495491364939368,0.5258026542100157,0.6644899690342215,0.9371013399744137,1.395145120247359,0.9753135454179309,1.100241335252671,1.0363338559188369,0.8981695001663473,0.8322482288310613,0.6976986819450111,0.8150082668316501,0.7016837929891168,0.640698311041428,0.6231476163284552,0.6867105917918258,0.5786351776024232,0.5644465476811282,0.5564553986945076,0.5851329075457099,0.5702750044940953,0.6122636980200775,0.7146105115260966,0.7271948609422457,0.6276098766220168,0.6949195725692351,0.7810567083225992,0.7482496138055512,0.6989888114984687,0.8140604843911093,0.9300261844529745,1.0308876837079923,0.9636719409515936,1.022184260441853,0.8869159863031651,0.8556921318798022,0.9624948367866143,1.6478858908740628,1.309995402006016,0.9773563458436105,0.7676983543171391,0.7796120213075242,0.7702315718296656,0.7957110422493316,0.820883112805674,0.8531992906673306,0.6427910240982748,0.7564867020564734,0.7981241996037564,0.6906723562573679,1.2009168881391223,1.1440623890634338,0.9682355836846006,1.4295067448540544,0.6688669263384859,0.793921330333213,0.648972557145021,0.659695865245598,0.7717288743082636,0.7468599140901995,0.8328924565787886,0.6966326045650508,0.7127972794534683,0.7531522121313251,0.7514697730000988,0.6029576942699775,0.6502228705083827,0.7258662735846143,0.643071698034077,0.6216226917671096,0.6829946832013833,0.8150973048618543,0.6951982491796365,0.6687156628067323,0.6647565053167395,0.6471384046444723,0.5869257282061372,0.6221393601612041,0.7145663967378657,0.6909178539093882,0.6185405121877511,0.7271736011008463,0.7916043660133449,0.7122936330722527,0.7911737013438666,0.9837932684451879,0.8939027500704855,0.880032668361265,0.9823987479656046,1.1458217391576102,1.0798641645923273,1.0363439824533967,1.600291382340798,1.7855433167580153,1.1617554189350832,1.140849531730286,0.9665248324816657,0.9387837657194222,1.2486591465313617,1.0568262535763169,1.0976087403749273,0.906629043931589,0.7607239846985449,0.6718867193828814,0.5683510086469559,0.523804041207323,0.6179022130438852,0.545185594637022,0.5397544216924846,0.8693426409896232,0.6602281936117618,0.6209441335286137,0.5630965953670439,0.9609733538074011,0.601862605437304,0.6996732019569148,0.6670049895967433,1.5055587375193926,1.8145490791299421,2.436142625929261],[0.4479154912641538,0.43997154423239687,0.4736999891674531,0.41983755954325763,0.41166912511469905,0.4549374902918942,0.3662408037248402,0.35361205633512605,0.3875348720502297,0.33131766810355723,0.3273052792467928,0.45203125735413435,0.3360196618206174,0.35818413092027973,0.38267616809507693,0.34544393547592545,0.4271342641714751,0.39547799036033643,0.44915159713466307,0.3913427778612261,0.43883747805168993,0.4235084998377405,1.0314726968916428,0.8348604100309005,0.9794280948584961,0.5826388067854379,0.4346803211908281,0.3781592916055746,0.37931907930248804,0.3324708306138127,0.35660231068333403,0.350116150916135,0.3654563703222724,0.3985949248289973,0.3969330885214661,0.3658099516559025,0.4001493780102731,0.4171020162896893,0.33664025770739536,0.41178747895111134,0.6461874747062064,0.43736182373528953,0.42910809576141035,0.594606651172063,0.9480426129691293,1.8683931956531064,1.8667383842689655,0.998131752423906,1.2430262755466126,1.6117667448749635,1.120914298841726,1.1209593742655568,1.0217751566251767,0.7712407482138365,1.098748269346934,0.640159311742255,0.6905848317448197,0.7551557702333809,0.814267661149397,0.8975877912526321,0.5937513989724194,0.5692493162178531,0.4279172995394667,0.46751648648798494,0.4553515531361156,0.42298286632481275,0.5522616828870022,0.42666310510541344,0.5530542228734264,0.603018644422375,0.7406386983730625,0.9040782492280074,0.6453395504029634,0.6879970052472851,0.5088244795625013,0.671074579645737,0.49819660991229914,0.4260923700005577,0.4457806351196143,0.5022954471409081,0.47905029461472615,0.6163729748816864,0.5811845372818917,0.6624363036237522,0.6132537209165537,0.4237673283304598,0.4072069262094457,0.5443016209555933,0.3744900270570515,0.48329820982169,0.41265319616678936,0.6578494984228286,0.48476744538852895,0.3620330657317982,0.35117207384414545,0.4262020926270352,0.5455860319034597,0.4186983476247018,0.36916140447289036,0.4328486513766483,0.33865468012097316,0.47649551847981536,0.3595437905106686,0.3952242606766948,0.4232534359311035,0.5103688918729605,0.541072766085483,0.5153804685520029,0.48379565630968274,0.5594095769337369,0.4095437996888144,0.36041764532780535,0.31057156587920226,0.32825870075408337,0.3979083399194096,0.4294557329114811,0.4365985872315235,0.4536361040979869,0.5276940456861744,0.44214701393018885,0.4983779069952444,0.47715210435623046,0.4747569078002759,0.4143946226331996,0.3329035029447404,0.2947396951611364,0.5963406411804433,0.3385753475006967,0.44232736218168195,0.35464575132701015,0.4310575881011832,0.42108181119294297,0.3618848859421535,0.3342228222423308,0.3152828233885226,0.42707293101688765,0.47895318083821997,0.2906059460940063,0.3075528483314541,0.30219201657572725,0.36080924820893856,0.5031878462543868,0.36632352133618024,0.3542472879586316,0.3982510066589547,0.3543917891657565,0.38133806831636535,0.3694222256237192,0.3133743296666491,0.34522972045897443,0.3416418603632877,0.397036585529689,0.5631983400493543,1.003130556415672,0.8632253036278339,0.36102770002054324,0.3533699169727139,0.3463868183263705,0.3400911475043499,0.3488329112770249,0.31644100620196275,0.3557609664488622,0.2757699910881411,0.29761102802890754,0.33412288190501516,0.500637803519584,0.43113520310063247,0.620852093804741,0.6724146466435897,0.6460428348233248,0.3951084503378527,0.26256886160128584,0.33024356567869345,0.32191332888780283,0.3196788508516527,0.3402300291691329,0.3830231858632332,0.4368497317207674,0.35840330296466866,0.36408714275835863,0.6818595860953843,0.3417538983302007,0.37455846545647115,0.41455835521896595,0.4018252939718037,0.4084986949076307,0.4771301873136225,0.6244169693066972,1.1566965535248563,0.7833029321905293,0.9323015702556637,0.8338351407521853,0.7143880217684561,0.7660844695791876,0.5849374361046531,0.6190139537202777,0.6046093544582506,0.5723512693176391,0.5046298696254673,0.6740274243470058,0.5239226156347166,0.5191092202369924,0.4925388298441543,0.46463487501664313,0.4949352112717737,0.5611564166296947,0.5346286769736441,0.526206547689973,0.5094545606201276,0.546896013006347,0.5978797524410961,0.5652331624952663,0.5634235029914176,0.6733950038280817,0.6948332607096929,0.7794108098269619,0.7317689410909175,0.6892497247404065,0.5576434746541062,0.541556182385809,0.5722560368373621,1.454123472963998,1.0666552613253413,1.2410623108548933,0.6774426842167428,0.5822816141464875,0.6362748545098936,0.6423762639988277,0.5683401955587248,0.5544404608877093,0.6350589212679473,0.7414632214816597,0.6718632590457875,0.5627207469264809,0.9456975259541691,0.7617778515426507,0.7340001574223111,1.1295835999699857,0.48729475300873853,0.6737243217358687,0.6364699745145229,0.6810472708001853,0.8011759910954009,0.7634777169601361,0.8663570614054079,0.6748167987915712,0.6551133892527629,0.7358090987162323,0.7505329148017805,0.5947244390015761,0.6456290511155766,0.7219732194526409,0.5718479837002673,0.5379918792223087,0.6307161359330672,0.6925849062977504,0.5601365206966235,0.5365948724824167,0.5142260510251505,0.5224120833194342,0.5260778607207315,0.5549122424488608,0.4934379588747053,0.4851343431668705,0.485024741483686,0.47602390437926456,0.5317994621454332,0.502270022677627,0.5402677330128721,0.7239303050837148,0.7032161284074667,0.6457784096066541,0.8011996948372179,0.9410011493075819,0.842122953488683,0.7236384025610648,1.1627694538090714,1.4397058028971383,0.779403713906453,0.8024172179431313,0.7063939778664843,0.7256434811584689,0.9972237252223682,0.7736891972228253,0.7373501742819782,0.726261638900575,0.5079654025613907,0.44628405671929483,0.44548028648288146,0.3264006800508428,0.50136894773804,0.48817231442451353,0.4743400740225061,0.8559405577107011,0.6742640154054877,0.5515956710262553,0.5716671067087529,0.9515635781339321,0.478380387042199,0.5676786850848659,0.7971389667745199,1.7440711780942328,2.0726983629874596,2.6862551409573743],[0.6845092078506592,0.6801025050465457,0.8115736683463912,0.7071856371991394,0.7670483432684602,0.7236974951280333,0.6795522835805113,0.697606661695513,0.6496551052489783,0.4739078151881459,0.46326133597160996,0.5824251884423433,0.44009799371681035,0.35920387894998307,0.4039920580850674,0.35868600374305687,0.36896263821842146,0.3330640090715203,0.4489478506909593,0.38154245933001496,0.44474976022901014,0.42174422800286177,0.975975991796581,0.8636415851215841,1.0635807410048832,0.6768450747336794,0.44750518770007164,0.362117689207189,0.35301825290631106,0.3396460260545646,0.366053238617159,0.42174968298217697,0.4466304642590559,0.39942185542338376,0.39648687768134355,0.3601247399030355,0.41512160548946947,0.4035165920026561,0.3563838014308044,0.4317092344835353,0.6072802742720124,0.4803201146986383,0.479649833002415,0.6760989319385092,0.9000002458490395,1.732212996259743,1.8450146343762683,0.9700620791381267,1.1799128053645183,1.7689142201325063,1.2603966400632287,1.2735389852000438,1.0894589322302668,0.8530881921091551,1.1447957802014772,0.6832893562436835,0.7203406327663593,0.7457771184068394,0.7965573404011007,0.9553461353726264,0.6377683430874215,0.5942840402935363,0.45539808692206457,0.49168134271264624,0.47016463730440045,0.45807325736245297,0.5776386175084248,0.40383343219609136,0.5305625509533308,0.6006876677260683,0.7459548331304199,0.9261764397683971,0.6617570986993575,0.6860884149968233,0.5176803048408042,0.7671433290433415,0.45690553573714643,0.3994941179062643,0.4368148514867067,0.5011684052101589,0.48986458283552187,0.637936660535665,0.6341564960201331,0.6475032342407229,0.6642559634488783,0.4394856474622078,0.40869965057831376,0.5567002003032977,0.3673805228782904,0.4596053698892922,0.3893424096879328,0.7020901549018579,0.5141627227799891,0.38533449692145705,0.399178157415636,0.4882043152673452,0.5908308214885306,0.521644775140419,0.5332244225393824,0.6414548834891465,0.5501630850319171,0.6936810885307853,0.5223828317486484,0.6001622556887416,0.5982178350028236,0.6865705609826919,0.7546822343954258,0.6836218844812808,0.6960826369886552,0.8667638848872211,0.7612882002029665,0.5962942961084869,0.5607866620432076,0.3986604763055116,0.3667743334059081,0.36561944126294565,0.38977981405945666,0.48283189059081305,0.5441209286910076,0.3817764877670145,0.4501575603697205,0.36786138698264537,0.4065976820360726,0.31676148198977777,0.3966917839224188,0.3549024560798793,0.6609687434498718,0.5326359103676906,0.6033651875538322,0.5163135367458509,0.5868475291502946,0.5904707402197763,0.5315143300616637,0.47645282162501845,0.49456751093456003,0.57257564810324,0.6040307526211328,0.4716236323019077,0.39628706942694736,0.37991644737104824,0.5545457168386835,0.6455761517947396,0.4420383516628355,0.35964707754268027,0.39855140440804476,0.36361608705761433,0.36677399163162827,0.4137718296395064,0.45307855487704035,0.5515531824810082,0.6326446890683732,0.7251938008672623,0.7948042410095327,1.316877087480659,1.011512403455987,0.6450142254926134,0.5772432561680212,0.6098942502858232,0.5122683152507976,0.5423314682881618,0.4239338539512235,0.3847045937089488,0.37372677858496234,0.39730980106820446,0.49235587444509626,0.6190027835767691,0.5836394890150053,0.7727849550385804,0.8018718568168528,0.76648573089463,0.5528011221372812,0.47207367401023625,0.4804182904051175,0.4351704612421672,0.40218746233876196,0.4623305172848721,0.4568562833278064,0.5746623525117253,0.4254514372039849,0.4848786432714762,0.7658016287790282,0.47237966732692716,0.49114910383193955,0.5602788898559942,0.5486499858657448,0.5320034195643952,0.528734695987492,0.7027098125618914,1.1915925186164653,0.8883905100643824,1.039227466800044,0.9886297192146296,0.8524377075018037,0.8324980932397574,0.6769937720160651,0.7399238113221843,0.7157387080657347,0.7179357254738427,0.6666222639136399,0.8659102435687747,0.7467940820400862,0.7779400951567139,0.7837048973740834,0.7277736921577833,0.7925218586446571,0.8840959035285341,0.7464665807678547,0.7570419422698714,0.8378500639144573,0.8552994103833955,0.8337872811517795,0.8444696081565446,0.8899618126769709,0.8979626321271814,0.8968158600541286,0.9178138334367342,0.9511504702687544,0.7799578051512106,0.71459431859813,0.7419481716708655,0.7271964596766675,1.389372357833277,1.1225390469342877,1.5199391979396284,0.8751307860888997,0.736118117346644,0.8015627128463334,0.7527907478518684,0.7328883773175802,0.7051331932222161,0.8339347227108367,0.8954927794420293,0.8783523344650231,0.742458470333721,0.947537851631748,0.9019885215099191,0.8109553840765776,1.1862307783717667,0.6420159926849814,0.7957551334518244,0.7928363508096319,0.8803116751731589,0.9688375015721292,0.9730493833981683,1.0564474850475607,0.8914557939521786,0.8957017433033494,0.9920345445206332,1.0123982439532868,0.9223728238773536,0.9812677981886395,1.0640075871381671,0.9374382889735017,0.8943498147443609,0.9998200066637786,1.0179962064136716,0.9055259994652938,0.8869293745596112,0.8397897984881116,0.8280397121228876,0.8268993580503108,0.8069532617638742,0.7405885297674117,0.7415689845324894,0.761166975797979,0.6976003544577972,0.7317697656448223,0.6953493093939381,0.7097740425955902,0.8497014369965323,0.7973014606064136,0.7272065218304631,0.8300558291455566,0.9911079031155775,0.8755906768634287,0.7303580548408907,1.0856295332158596,1.3495351948050174,0.8156861244332351,0.8325200771588083,0.7699477098898183,0.814851679568838,0.9674392946615373,0.7249531205125078,0.7549931607284287,0.733578394664349,0.6360502951806416,0.684041431635756,0.679123206180116,0.6368461648288629,0.8372328185079879,0.8861097198565937,0.9162481547183026,1.214234144344267,1.1411401819536489,0.9588851138040829,1.0461206431312173,1.3989201096529074,0.8208067466607217,0.9345690800057964,1.012937920514249,2.096040044661604,2.034974312168945,2.434299991491848],[0.4286229196792602,0.45342844627772727,0.47346740252371694,0.5893693676666354,0.4159400708126653,0.39522627209475353,0.319207386900803,0.33111530950675716,0.3693572909710405,0.33348476249413483,0.32993021950623413,0.39298135929749967,0.34877918717469375,0.3237240959800866,0.41114970094200626,0.34207950850405755,0.3566374819843197,0.3233662952091354,0.4097427953281983,0.33953034483501543,0.3812552646531578,0.43624069223198453,0.8013531372883073,0.6999251565942275,0.9115758717009598,0.562953374354031,0.3771606553523116,0.3532456329147308,0.3394309229992434,0.32320051101520425,0.3653088372942421,0.3477484322521838,0.36358204047628506,0.3835652397556537,0.3714551521475792,0.3580639800476587,0.3902798347045455,0.4235575499428362,0.3411301106357777,0.4167162084383553,0.6362291426669733,0.46705684382552004,0.4506175468775216,0.6839936327270273,0.9627655352304232,1.7722515356060085,1.8317061529888004,1.0299525723004492,1.2273178884708509,1.637511750902022,1.176956748974899,1.1711465931579623,0.9429934263606734,0.7579216069766249,1.1252161350346805,0.5680467616886765,0.6602683020174953,0.6916066977185797,0.7229519664596882,0.9228825797433466,0.6245840462665345,0.612056149807927,0.45904300542753923,0.49371357872231186,0.4462876017359213,0.4439589673949084,0.5368161591224239,0.3783199279334528,0.4827282744959481,0.581773408783315,0.7285445940621683,0.9092400673763801,0.654362148589643,0.6397810827695907,0.5079335413397131,0.7936448178910853,0.4433599137096428,0.3982074119368928,0.44261410451355665,0.5318285819881995,0.41024361459475517,0.6045403630371075,0.6258058013290192,0.5602020947415552,0.6914504226490719,0.39792584498718203,0.3760980906788206,0.4976588577598935,0.37392963285702824,0.44295272174463174,0.4021330897392491,0.7503655828534117,0.5309645190004244,0.37353752870585577,0.36664313334091736,0.4744083387091729,0.5852553022990209,0.4282735010342452,0.3970015051167535,0.5053806404810296,0.3541288035857004,0.48204187892855577,0.36216065627348043,0.37731159109827084,0.4034573142221288,0.4747497440748454,0.4905234554494613,0.4240690823095746,0.3689199421428126,0.5835184540107397,0.3322237875400508,0.31161703505137256,0.28712695074833916,0.26688598304939254,0.3322464066594496,0.35258632433420106,0.43383139659933273,0.34370278730485665,0.459741234272194,0.39510266885759415,0.4205609122958683,0.3941291255900486,0.34654375752412075,0.281752033085401,0.24312390758565222,0.18964486848986192,0.4977817867467283,0.29308836699083574,0.3470326069119747,0.35711290511852306,0.3408408290915753,0.3398584477819948,0.3711008421631652,0.3888697963143536,0.3780930924446924,0.45218504799339304,0.47020202002639755,0.35950523478850455,0.3757280640499108,0.34687860164138506,0.49928065278372774,0.5559094330142205,0.3883566202583137,0.32124720404614376,0.3287017908311258,0.32413207308555714,0.3211389528125482,0.34611242157135497,0.2917867103262117,0.342048631514915,0.35857298965362083,0.45138079869784714,0.5988016379126517,1.108296676940985,1.1071968337763067,0.4085386605102749,0.3913113515203267,0.3162294662856454,0.3276446005723721,0.34012091808609923,0.3711735028902664,0.3179735161665724,0.3272746849889972,0.33840945043224385,0.40928574234877974,0.5977578941265608,0.4828432832842456,0.6682963311008618,0.6767977046500016,0.6421258115157268,0.4481272822479009,0.3677768280209592,0.36842264653139595,0.3583149468661161,0.3386724225557018,0.35884989594796185,0.3814489073964487,0.45103297820549804,0.3801876224426689,0.33617999168295026,0.6727466699347473,0.3416710443638133,0.4024346752715808,0.4283312573029665,0.428596943238882,0.46493024451889375,0.5510478475995647,0.6685076602191723,1.3070797174444844,0.8710346092792748,1.0447978466333399,1.0216571636753817,0.7965525379143061,0.8094932721980878,0.5854514351724361,0.5482188314552299,0.5244471930081611,0.4411572456652327,0.39265134782619715,0.576295522730031,0.4023895310032167,0.39065217760418686,0.3737187970985617,0.38505831939544877,0.3908668786025783,0.44834935001581977,0.5069345460861043,0.47771540571956733,0.44994206554561006,0.4995261535148212,0.563185077093952,0.5345921878068502,0.5536747498393114,0.6543406222614749,0.6779277785475268,0.7616637538396102,0.7599301514382114,0.6928306191145637,0.5468879402433765,0.5346031605010798,0.5831919250073461,1.5876554217531924,1.0377054438909696,1.2638846047301802,0.6299018117883438,0.5278003227645965,0.5744688411550997,0.6123600697854648,0.5166040134849228,0.49915009604888666,0.5358162919638088,0.6609665258721847,0.6229817346802542,0.4787779842927749,0.9665224344210915,0.7881152394359687,0.7200052615457896,1.1667881418955415,0.4412903604235429,0.5981203423691891,0.5472144896027159,0.5759581386867098,0.7055009996084539,0.6732299097697372,0.7808010463527465,0.5634458075080168,0.5607031473999871,0.6974167543362226,0.679877354948083,0.5294403297353858,0.6350082843136035,0.7111603647424768,0.5389203345929111,0.5223528523524307,0.6260775688308466,0.6842416852284424,0.5558370867196685,0.5208497385045893,0.4865268495418316,0.45557396011345186,0.44690237348730355,0.45947491254293443,0.43904600117912146,0.42596700502331464,0.44105368133713435,0.43901383632898416,0.49786192353374586,0.45156098781260107,0.5056173124947123,0.7386030461200289,0.6918573172611729,0.6166885698003369,0.7424250384424734,0.9598726784572725,0.862590609463223,0.7453281034844067,1.1696848926454837,1.4187401431736464,0.8571457661555173,0.8456077452870173,0.6908489792513822,0.6735030592472214,1.0269448044389426,0.7855394504472022,0.8088440054739462,0.7310030588752403,0.5282594838324572,0.4566046115877402,0.37104862756515167,0.3454604221529436,0.4188797414180701,0.4123217909277674,0.46342928671293,1.0551579480577598,0.5966187481678331,0.5223744587686613,0.6415365322265395,1.0015948691975407,0.4582079656332382,0.637275841177261,0.8416694399443886,2.2759406093102417,2.5481975055137545,3.1505960081056714],[0.40830556263055695,0.4395162367879794,0.48173838901089383,0.6478565022635808,0.4381298938896699,0.37872840110958983,0.29581542535961725,0.2691289354907808,0.33185043031938843,0.2505479596415465,0.26269245660504703,0.36550191844813884,0.24048452311140095,0.24697689908703194,0.3294145380385109,0.2575649754842353,0.31902127202878827,0.2680684336405989,0.3464078433095192,0.2797604176427348,0.3235788653141286,0.37926014657227625,0.6468846788839439,0.6129690668848542,0.8018337308681629,0.49403928029573385,0.31162058206922777,0.24853033240639727,0.27422728338586955,0.25373703625630456,0.30622051198623024,0.30114990800344854,0.34157599393857696,0.3505764457256137,0.3029376702661964,0.285266311753721,0.30336204829986324,0.328026437854127,0.2841186725637296,0.3634186011873814,0.6229513677036382,0.39891568867911587,0.37897682083249257,0.6045295414720555,0.8881229610572751,1.6950081309557083,1.7003400168678178,0.9729976384260841,1.1950586713164824,1.5577293956242142,1.1097718297466108,1.065480624898179,0.8320243583952396,0.6751151158186904,1.1476059452901424,0.497695158168251,0.5769174102874477,0.6319119581608637,0.6960392813905203,0.8459087884632986,0.5752462029657673,0.5462776668381515,0.3866328972265932,0.47427349717740763,0.3670890504967499,0.38923707896022586,0.5363513004408635,0.34993028900199014,0.49168238209133697,0.5503963692485205,0.7024305943912093,0.8880710439623141,0.6510902342411999,0.6713544150077775,0.4554176703195086,0.7694360823314138,0.3769692774623951,0.3296805414869759,0.3408475911084071,0.4314322939917702,0.38211008730267326,0.5516123273143635,0.6454526629978045,0.41289025075903996,0.6419397584909924,0.3462919107899618,0.328960796685976,0.4483533192480412,0.2858010487531513,0.4065478290005681,0.3453153966271603,0.6839629043227566,0.4676754764879367,0.3268574471344315,0.31124536895974153,0.4355433720705192,0.48740806773678236,0.40971454879919733,0.3831133106956219,0.5834588994799152,0.3333736426480415,0.4914342248077419,0.29703720075187623,0.33897671636918325,0.3658985170997594,0.40129633415035104,0.4429999270841483,0.3751234660562501,0.34418990728941457,0.6130189133224643,0.30634114338512786,0.2571399961818435,0.253332067095316,0.1962109541131815,0.21419430772664788,0.21208450223585515,0.3013004586841746,0.2686030975997469,0.3599857609588568,0.2949213592965299,0.3203536941998241,0.2856620034053799,0.20678510019862295,0.1524893070588217,0.16789961482023597,0.21691696072870786,0.4348359357227608,0.2914573796637243,0.3039862151501877,0.3372306488902716,0.34515574191235765,0.3404058885405269,0.3555203229375291,0.39231583379391,0.37051172561515844,0.4409665040473972,0.5051243108982094,0.34997008045270395,0.35700423216313487,0.3161783960176369,0.467669066471315,0.48792610585199325,0.35154409103611806,0.2613200936956437,0.24176718902835587,0.258529571231422,0.21787531682929387,0.2614591233156145,0.20610773880068833,0.27210680055860825,0.34493642707241684,0.40396215944593733,0.5998396529271062,1.2258506456139662,1.2514412810863291,0.4054692756712622,0.3575187554534368,0.2875947013921331,0.25483660161668475,0.26387678682502935,0.3246894574188045,0.24732774979468847,0.2633506992037132,0.27028015600437766,0.35642249194639003,0.5740116112400667,0.4646065165679407,0.6563057735302307,0.6667305838079518,0.6427403916502884,0.42963475639829823,0.35305767994790693,0.33220025106492324,0.3046783055178897,0.26234142082483713,0.3017902281813765,0.33294607061494136,0.430404900632649,0.31344197610392205,0.30611480869921026,0.6166165735525189,0.28037730523758725,0.348382661069145,0.3837842260558373,0.40247216522350043,0.4130719319582568,0.4965991576343829,0.5800814565426973,1.2412397352893056,0.8072400240955087,0.9983122618695269,0.9752783685589355,0.7492871824716049,0.7887051476202444,0.5292543666929431,0.4995322632088601,0.49480974515822196,0.42424681115582136,0.410104798034367,0.5532339962333832,0.4075324481158565,0.4014275377536961,0.391362532401267,0.42615893300944346,0.44483554080652293,0.48896587092969834,0.5539980102063763,0.5191913598757569,0.5028519941364143,0.5346768119585138,0.5936876060377495,0.5774658763727252,0.5957102051193713,0.6852640166033841,0.6804709951690069,0.7417786003251922,0.7946713026760642,0.6709151057849447,0.5573757614609283,0.5732659007045534,0.6237304694149828,1.7044730345044306,0.9935806992083297,1.3548482221194798,0.6385720708585025,0.5277910608203181,0.5854157423730678,0.6289456514876898,0.5158157443973698,0.47011523845807107,0.5681605709506005,0.6687078381540231,0.6621022585487842,0.49310969830328105,0.8945031690101585,0.7049115638800615,0.6756680308314744,1.1190857908953702,0.4512373051943125,0.5579946256831267,0.5599863799185555,0.6070080915805219,0.7206048544862528,0.703822130987759,0.7768888853287664,0.5992385778781049,0.5805672784339138,0.7191756044805608,0.6753477518488596,0.564680509148657,0.6810234192182314,0.7576077371678156,0.5832751558902597,0.581163154985537,0.6875588059664389,0.7283045683930863,0.6099464774019234,0.5894198326795963,0.5508001174585564,0.5297977412009327,0.5061410228564249,0.5103460484322215,0.5027769580317463,0.4707257577197626,0.5092898193889391,0.46715332729681425,0.5331999926601327,0.4879109053800754,0.5085748744455848,0.7203226924161709,0.6879447370097842,0.6105720762543256,0.7068454536479194,0.9019286247904228,0.8028963381095656,0.689470799714024,1.0114433749477414,1.2953984315625091,0.8122235501250666,0.7825225884353715,0.6596608028682404,0.62398757979794,0.9281759975017158,0.7262313474036071,0.7386935128169476,0.6987826945373948,0.5335794631675942,0.47044128996732393,0.3885746129256127,0.4236514696294704,0.4325194984393159,0.4086272605368304,0.5092598543604812,1.168811894909417,0.565015870492392,0.5420787639162542,0.6814964221226996,0.9725965845972134,0.47608823457509625,0.6720345078149494,0.9106531804795898,2.5166820965842995,2.8605831052282436,3.325470032468603],[0.36738717736117166,0.44443532752684556,0.4953080215106797,0.6644082144482415,0.4384440316038175,0.35941226090478656,0.29578823941885984,0.25395065793999316,0.2646966236999831,0.1972239081326803,0.21950006451986384,0.3050526542458617,0.23796590211695096,0.2420029863479345,0.3767682710985117,0.28332530116151255,0.3762271722133452,0.34585384520732276,0.4585983933430217,0.41543871387164577,0.4542191219047984,0.4717148472530108,0.6716803580548605,0.7146791441836896,0.8868581708324696,0.6414330759759739,0.45299092483163805,0.35697916658874473,0.3367561159191953,0.29923070429058213,0.3652428216421336,0.31201392483590673,0.3846926663981158,0.3849497969669932,0.3262964041902395,0.33235111934985223,0.3263387883866113,0.41144413642198024,0.37407072088825866,0.38507022273891245,0.5677405219746002,0.5319038337490973,0.5270433447976743,0.7566333248367757,0.8975443592389422,1.6138283788011227,1.6970073759542994,0.9957567872984203,1.2114930401599724,1.6818315773534056,1.27773886521379,1.155837134309798,0.961863618741135,0.7990226342390869,1.2179083610401145,0.5915509294276738,0.6775105744601514,0.733742761284127,0.7355272947926248,0.9520282820296565,0.6770164138992674,0.6058299408192446,0.4668758958237226,0.6085089272383332,0.4959971266919056,0.4805312453832505,0.6504663182667743,0.4362172198108981,0.5575792850225552,0.6037021567740757,0.7341523707743899,0.9013364657870498,0.6852740193146603,0.7802261411427097,0.4963395108324461,0.8512637430954648,0.46104596666711306,0.4024217225785181,0.38830492020693663,0.4715506632536683,0.41802938313505744,0.5871106338970187,0.7237558362966008,0.4639081870878194,0.747753275117911,0.4028826364773329,0.40664451884073166,0.4759257004400494,0.35522470222108604,0.43040857143520456,0.4127536240514833,0.7575976045971259,0.5433878551065606,0.38691640417264184,0.3538671253561532,0.4996859335894312,0.5318024048375893,0.4105008832541225,0.35720773721602067,0.5839734295395512,0.3366034865903212,0.501452142341686,0.33902091964629727,0.3427986583753979,0.35994719210597886,0.4056943280584319,0.4373636789335497,0.38728349663820444,0.3431636849972339,0.611082458003254,0.3008229556113981,0.27486019816137497,0.28292718568202957,0.24518084495294235,0.2538731413144666,0.32903533033127486,0.33398788582917144,0.3752411183297563,0.462885973117522,0.387546468954515,0.4189386303713299,0.32047615554923603,0.3767208258612507,0.25693196837304805,0.23181666415447807,0.2364607200103242,0.4430471372602817,0.30173384713506146,0.3125932293722314,0.37036707432651905,0.35079664611659556,0.3496030715427569,0.3855758006702012,0.42816184098521726,0.39605592403293965,0.44974974067509865,0.463449803917887,0.32929882738473065,0.33031054971203505,0.36865930704998606,0.5162528681348799,0.5973990146684741,0.43877680669424785,0.3493343566804843,0.3331941631883653,0.3506801274451362,0.2898771518721991,0.3167248515089787,0.26056879701530716,0.32185368752653937,0.3754863807556244,0.4541791985046562,0.6278978466482813,1.3340921272187767,1.3592440532606733,0.42226576439901875,0.3668753668199132,0.3379585342134807,0.2747115629926863,0.29227553314304544,0.3684621664103616,0.3010466573087346,0.33135176424466684,0.35773818745827063,0.4331892840033634,0.540797993828442,0.47231470184242064,0.6584008500702798,0.6246030856501918,0.5843597923726415,0.4207252199700421,0.381780696211442,0.3674432401155703,0.33723635505540445,0.3119368723291683,0.3409152562061513,0.3673656710997421,0.46058616072304076,0.3749986128088533,0.3358705567404125,0.5828598002854295,0.31752695181479496,0.38773091461941284,0.4200164966860477,0.44508048803871525,0.46565162686952255,0.5039209278792635,0.6558971582308386,1.2283697893647585,0.8321015943416112,1.0216363680957377,1.06332487459522,0.776410463323613,0.7789600961805034,0.5450840490368127,0.5153826833997996,0.4924482117732136,0.4255362507358107,0.4052909337950218,0.5438627776269781,0.4018744202760986,0.4012980098249691,0.3907184684681781,0.42776440774642394,0.45624942975063987,0.5099981394421145,0.5584571616036573,0.533602350086971,0.5360805081528616,0.5645212491719014,0.622617648356801,0.614353078518028,0.6388530645909668,0.7215342730834966,0.7233421267103073,0.768666637285681,0.8439225137147973,0.6964959923601929,0.5791732988886431,0.6037826461124091,0.646449763003745,1.6678398063807915,0.9901729114477366,1.3780183727280209,0.6437169550361004,0.5326422171837674,0.5920953687120498,0.6272371009135469,0.5180194028169295,0.46962477484343385,0.5615194566023592,0.6689039507748775,0.6660225436350342,0.4916642081535858,0.9061579190917312,0.7338098369789239,0.6920859192733063,1.1493735459711019,0.44988991488741403,0.5522881246069027,0.5558996602531993,0.6102075477355393,0.740279355796058,0.7305005423717008,0.8074750458531721,0.618273495955102,0.6039431595859975,0.7697317753882569,0.703718314154547,0.5982752565344562,0.7385311570458419,0.8220320789280905,0.6315762566550144,0.6284954400900571,0.7556819956986103,0.7683240976791942,0.6541294351250198,0.6416937563722941,0.5915663803406181,0.5659714091840182,0.5300711260431532,0.5261798120876713,0.5306763862930389,0.4914069413646611,0.5171671256081355,0.4786392560176138,0.5526618756402034,0.4951116346716821,0.5216633325583111,0.7477429269924732,0.7071843389264464,0.6201372994641093,0.7247880887845476,0.9325001133232571,0.836746775818371,0.7086463871958432,1.0546759699020751,1.2978264058236721,0.8498347169952966,0.8017388864300586,0.6661604442359869,0.6291895436700164,0.9037409063224416,0.7191765277510723,0.7538696049988218,0.6943742896061711,0.5411160819070912,0.47175832796485584,0.37991446962182734,0.41145857991023516,0.43069156617568854,0.41766551323956236,0.5533484109407367,1.2503811134823455,0.5759702926189477,0.5888640158506157,0.7778688255313968,1.0042135627398447,0.5054696911631711,0.7065776596558826,1.0359289687718993,2.8399048072667705,3.214858477064666,3.6552343752366725],[0.4123815858819716,0.4419158147036922,0.4917615695979459,0.6482986456866157,0.450269098959136,0.4001692847138924,0.358087666911136,0.26784923461682153,0.19873669718025747,0.1781662117246439,0.2101409814786366,0.30208282218244786,0.2239394789965094,0.21285980553737824,0.32986699738018,0.25651474261509116,0.33395715260599046,0.2940764443889864,0.38446113046719527,0.3338367854286363,0.3940858295339985,0.41913604083268413,0.5551033732239116,0.6047827376806926,0.7092908172740895,0.5140997306383916,0.35139228120312554,0.28383981168510075,0.2894490381838169,0.27637616103861307,0.327346914262941,0.30013125973001215,0.3730081622809526,0.3550015454232762,0.2972855601256229,0.2913861465591971,0.29902485962042447,0.35861963082132015,0.33539375569369795,0.3661199565971937,0.61632149579711,0.43730261753692107,0.4275040385504178,0.5840845610075226,0.8217563817267259,1.5673893845151203,1.53411065776568,0.9460452869797501,1.1744218656968832,1.4844946608324825,1.1479433192849684,0.9678184965540694,0.7893795682629174,0.6628038734542162,1.2487690807871517,0.5376482999747222,0.5783033869804107,0.662823721983992,0.7096232517625596,0.8420738708423066,0.6050252647747963,0.5578437798091012,0.41997009137293156,0.563778258851191,0.4308691296280123,0.43568559362058457,0.6086755097876497,0.4013585351097986,0.5229627050790191,0.5652378884318148,0.7248563346450383,0.9078199061550895,0.6892956533504953,0.6985257323816154,0.4763510604656728,0.8212216134504916,0.3950835285483228,0.3403955233357745,0.3284810122400245,0.4134890965561331,0.40631358035162257,0.5546278401413396,0.7820997392012339,0.3813296054672081,0.6906764589824397,0.3670767871507995,0.3729358677576284,0.4477153275615119,0.29649862688100664,0.4115052102060024,0.367505952001104,0.7141216379876114,0.491756275529418,0.3418189070545664,0.3136369101230298,0.45346538582270296,0.5041722591998555,0.39376236582903745,0.3579942574056413,0.589620492011477,0.35721447581528987,0.5140979500135839,0.3576450507413111,0.381828120923941,0.38917562449420706,0.44264820083395134,0.4697544586346001,0.3868901602382233,0.3667120368547083,0.6314680138039184,0.33750285790307544,0.32157624701636933,0.32814693076067186,0.30550293105202553,0.2642587109092151,0.288513039398855,0.2746580213972098,0.3138450507425814,0.3605702698777265,0.3354969053275043,0.33218861650841536,0.2548565890893603,0.28829494903738195,0.26216019427317266,0.30356892922672335,0.29890143730010843,0.5506945371417081,0.3526119230330368,0.3473705307314665,0.391834518477922,0.3768091608662434,0.37283941928994696,0.3763399685570139,0.4614993174311878,0.40631124108256217,0.41593499258692584,0.5018032960416378,0.35531964176242853,0.38004170396016385,0.3653634953707433,0.5026264807275583,0.5190536596019484,0.4040388157809388,0.3204094147416779,0.28052748469156746,0.3198363944477275,0.2622320106712712,0.32088506042057824,0.300046616900799,0.35380152036969703,0.412678122737221,0.4731837165810953,0.6185200928829079,1.2946784695543125,1.3848646096056723,0.4656923384854444,0.38419986001601447,0.375977300623506,0.29320845628510983,0.3239837452323136,0.40121948027768267,0.29867190761056805,0.31423261809513886,0.3208369867097637,0.4220849142484431,0.4928325536715836,0.44341967987709174,0.5948174909623698,0.593144441014566,0.5786270374719678,0.4213737777643279,0.38032144124653744,0.3613957396482455,0.34176280720815494,0.28934875900511786,0.3432239568665144,0.35990852249311056,0.4969204785101345,0.35774256794729986,0.3710737893315823,0.5577949154882497,0.3376970121149656,0.38598633531808446,0.3694551474447508,0.3976348914455332,0.42516280393576134,0.4729195712448343,0.6262782785606287,1.13992107325071,0.7319650226811167,0.9491697410316221,0.9904728572779371,0.7054613616850871,0.737646369462005,0.472612779099032,0.4438739924493939,0.49123347589877797,0.42082703295749807,0.41846132284548976,0.5675249908055585,0.4422894554978696,0.46447081765079185,0.4310815805107541,0.43720689093230797,0.4726649439701513,0.5170784944986458,0.5481915043365935,0.5144092606164592,0.5464144155890275,0.5492682603211783,0.5872680664708863,0.5838687034462215,0.6303645888748637,0.692699740393263,0.6528877388587044,0.6974723189397444,0.7783804878569331,0.6329573274987769,0.5433023501570966,0.5552855604823409,0.5944293741783965,1.8084668542469429,0.9796686121696174,1.4150217961283764,0.6609248402181813,0.5977177058350777,0.6256869727645266,0.6997721352127948,0.5479563123327726,0.5010483339982991,0.5869279058403106,0.6786606353155042,0.6592603780929333,0.5115747951517804,0.965757312180275,0.6716010726764668,0.6661625862884366,1.1118167188228343,0.4736427220276235,0.583908523870185,0.6243604652287448,0.6627670746883733,0.8217680867107909,0.804552654948826,0.8859567106142431,0.6866319940790184,0.6756066302055632,0.8606694234681967,0.7626748265573631,0.650656858463399,0.8021275675321808,0.8716226792087458,0.6574352116156278,0.66960243920819,0.8030758265957193,0.7844549375809806,0.6682823356797252,0.6625496993398524,0.6074377993738842,0.5915162851468782,0.5798129603443833,0.5871617553418266,0.5385518777986432,0.5056349201582679,0.5465927866681448,0.4719721040399246,0.5252815867290557,0.493334589831398,0.5015614303247361,0.6873468451142165,0.662453455659249,0.5989367346111943,0.6969639659788796,0.8674918255855131,0.7814694751474786,0.6845457237464966,0.9939713063608274,1.2939718561073388,0.786211522678868,0.755495655936882,0.6324056873926627,0.5985027047588901,0.9176574395950976,0.7239304649619285,0.7410591086130828,0.7079175121926609,0.5443395762066167,0.5023398613277691,0.4182184555166275,0.4550797113758907,0.47434204299048327,0.45603679063329206,0.5928346979982827,1.3201621379069015,0.5478394911526635,0.6020193164979738,0.8340897289110484,0.9475497194489073,0.5454895491433908,0.7175915514061433,1.310266997602814,3.2237163812154392,3.9174403074881963,4.689387542639248],[0.3966972292112543,0.4013734845230005,0.4435973791462272,0.6325209625865872,0.37856608237208167,0.3429178370573383,0.261156252816703,0.2139010457095497,0.1854220015342671,0.1148014804403721,0.1809425140841136,0.27399763399699106,0.18662634736846417,0.18330742397024652,0.27421301509343027,0.238538402712168,0.3044683467372487,0.30584641965204273,0.38300402540434375,0.33856498776037774,0.41139884626902723,0.40235413083664606,0.532318424142412,0.597739985528868,0.6426709289889505,0.4791105721279668,0.33156246162480485,0.2752504848103274,0.28112640725445914,0.26612777658430853,0.31311743181243473,0.29377546339179167,0.3563588322385719,0.3498081418274301,0.2943274632424844,0.2938387041855519,0.2976707186383061,0.3384548119426688,0.3093236713163844,0.3488937403797335,0.6550011260545476,0.4069771220653003,0.39887199679798974,0.5215914646567819,0.7843557431815583,1.5428305371934046,1.4419404786407635,0.9394068617820809,1.206178832925979,1.4210634853085349,1.0744209659111703,0.8902840382133639,0.7033382320159841,0.5744245000654327,1.2785816375933874,0.5513026966863788,0.5429145517970447,0.6438754134913915,0.7579544377163742,0.7591541285686643,0.572080648011749,0.5762522913482941,0.43484799442867456,0.5994666397854773,0.42956173003748116,0.4321625766878371,0.6274107593105542,0.4430221867657434,0.5317518800675648,0.5502683598272371,0.7590933435962145,0.9910626933353965,0.7272459545856389,0.7071899287001079,0.48747302677497945,0.8157495609285506,0.3906507518258203,0.3590095907941111,0.34547433530183985,0.40861805993897554,0.4084671554236161,0.5308075388268946,0.8377656764957864,0.34314247709207374,0.5827012810525325,0.34696122151739034,0.3601043825907869,0.436440040930649,0.2985118386081507,0.4106651161918671,0.37190456709908504,0.6603441766113287,0.4398831002163481,0.3077148721852107,0.29634696715350106,0.397164518014192,0.41839739890870736,0.37773958338316493,0.3463690998798807,0.6619202714286488,0.3434482474664832,0.5418591891557655,0.31096707962346903,0.3752632708376941,0.3907302035405531,0.42107863480750707,0.5002611126713657,0.31454699944152875,0.3330154168033667,0.6449997787925872,0.2816093345685634,0.24375327283047482,0.24084067346709967,0.30129309537904464,0.26608553589456085,0.27774037171237154,0.2870918845933799,0.30901589796707835,0.3505448880319085,0.35794432942483584,0.32349554367194705,0.2540033929333326,0.2864091709461504,0.3064866391729201,0.2642593779880536,0.26741835926725055,0.47119933078441595,0.2927274862148839,0.28426440409971765,0.3313653966241471,0.32134659963707213,0.3207018247874906,0.3162799749073732,0.43075064854048023,0.3602622986628258,0.37060336827021356,0.5224352028121968,0.35146092972287407,0.39370287132329385,0.36135279196421116,0.48525280019234623,0.47590756112213756,0.3924244831583047,0.3114024344537967,0.2561865376363021,0.2797861452177668,0.23243141862516475,0.28653828845266843,0.2573115904692793,0.30713541006055084,0.3840233529387696,0.48325372303367103,0.7227673655228346,1.4422824517325499,1.4649179927980145,0.4806723356119883,0.3514773119240042,0.34976991364767124,0.25682718595509496,0.31240895060547186,0.34739744206533774,0.2734992062768635,0.2834240528847867,0.2777693322499559,0.40155728405644964,0.49395546833759,0.43036011796027546,0.573852892846371,0.5979736164443669,0.5993246420088191,0.4146139057447782,0.36041284225738224,0.31312274215062696,0.30480959292660265,0.2512427451173233,0.31141212032614185,0.3081801231775319,0.5309275364519959,0.3191306760234089,0.35160502370325586,0.5402735159999792,0.29993275047649237,0.3291926621358763,0.33181839488386994,0.3753601786116671,0.40112648645848253,0.42717176316712274,0.6277786196033667,1.0764357842716432,0.6603543688289292,0.9159206833880594,0.8852745061251742,0.6482648565737493,0.7041839938244717,0.41540793586437524,0.40380338744526234,0.44203388931085746,0.35171009564476297,0.3474028903878484,0.48405003863437884,0.37661673101771154,0.41951754848575545,0.37386830637051516,0.38133080911365685,0.44493860775626226,0.48371424084837394,0.5058422637386828,0.4787108270024916,0.5420223214379641,0.5267530182635457,0.5634515768411729,0.5784857953159245,0.636392210991625,0.6980763232632488,0.6409020299732431,0.6519401189852537,0.7928890782531147,0.6012575752359594,0.5196616955538447,0.5544649623379332,0.5744051661481477,1.894629059581817,0.9547486413449604,1.4857851442364498,0.6564478347612736,0.5936717297903124,0.6291874117067225,0.7106614553801305,0.5166503219278513,0.4419421669984755,0.5687205075497678,0.6180422686644561,0.6243063924989624,0.45256853372085076,0.8950321681410636,0.5801928941614583,0.6062208412973925,1.0450485535927208,0.4190891128569252,0.48569111003193793,0.5815532181440235,0.6507060018111503,0.8135231887752533,0.8120022780210998,0.8762416276376797,0.6815965052122781,0.6643429415879033,0.870169443740582,0.74321915428718,0.6472183455140146,0.8069158745003598,0.8727054847506732,0.657135189358977,0.6842221508632078,0.8368149882852649,0.7954403695388292,0.6912095190001791,0.6999997673832379,0.6302775469061553,0.6121143403365645,0.5804633688263715,0.5780854157933896,0.5512730265779116,0.4929209453896958,0.5413091632964426,0.45529291482023115,0.5040133361530647,0.44982280725910306,0.46717574586508165,0.6216043524394517,0.6117871112281972,0.5429705907889261,0.6293871448526136,0.8176191210384753,0.7224966418148856,0.6382727287700372,0.8509865888183371,1.1872957518395064,0.7406091408748362,0.7011587799015113,0.5858844162809468,0.551345286073093,0.8719680297333653,0.6844508259561641,0.6859402771709072,0.6540608919130709,0.5029815161238143,0.44370501269443463,0.3565140253510532,0.42302189596365264,0.425795133393138,0.41584706892440354,0.6206490171561958,1.399763802332564,0.4842629629955819,0.5885161928820356,0.8844583938026954,0.9015139674230632,0.5518749531819813,0.7504583018336834,1.4136806301326177,3.475930351161631,4.319583069489857,5.092454928058678],[0.4193000191090447,0.4196515100979262,0.45672143717512353,0.622595261888719,0.39182985456519825,0.35478035896562427,0.27300844888418385,0.2387826967620916,0.20693280701657135,0.17850801599875013,0.165101103208255,0.2827561116686798,0.20497629181524996,0.20280112955644106,0.2913238062145571,0.26204548711440967,0.3250827966347782,0.34358531802476344,0.4434864865217629,0.39202298218417125,0.4950799778045488,0.46263503043490234,0.5656941074853822,0.7103204423300296,0.6025603097681491,0.5213966563978693,0.396054229355842,0.34023684381528124,0.32999088217335226,0.3003245831681381,0.35087552418540185,0.3132237039859382,0.3971786731422056,0.3699539489347163,0.3092196812206048,0.31979824676697116,0.32275481433740916,0.3610790275947805,0.3483182122754253,0.3716474775214718,0.6658270504998994,0.4457262883677449,0.44149606261876245,0.5476581897683105,0.8003400262474719,1.510861461203226,1.403514191851289,0.9791481278005587,1.2447174900265656,1.3864166103327358,1.085110305674753,0.8896777448890749,0.6867630736971968,0.5526418771389925,1.2943716064986213,0.5932291966402976,0.5718121108903693,0.6873882985310812,0.7954899827088125,0.7521711828007729,0.6050660181920041,0.6281216217890983,0.4988943633729338,0.6797780710003563,0.4868805670854694,0.4895711784368349,0.6794904795155822,0.4889131888761259,0.5641514177826137,0.5716255653824273,0.8158063818262741,1.08954328416236,0.7748008191461815,0.7633621340574576,0.5230855442829063,0.8664837269364065,0.4277196688179504,0.39987686101059317,0.38974974532596485,0.4281424694550197,0.4148981942211594,0.5559256794366387,0.9189663485813421,0.3872526155939574,0.5794553962749354,0.3547714026983249,0.3869228886317073,0.4576008494743951,0.3421928088657614,0.44432010860062393,0.399159586299,0.6874835938400664,0.46644872917780106,0.32975165630728004,0.3149836655059771,0.4181633201794274,0.41902472761171494,0.3841932291566011,0.3536424958255644,0.6933646557629808,0.35686539141197526,0.507906713700238,0.33423494300678663,0.3932966782213331,0.3935513477351232,0.41862016952029274,0.48837593204462626,0.3229494428776418,0.33948052639250503,0.635854621790145,0.2922907665923371,0.2602901327663735,0.25597605874949514,0.3428898448653134,0.3270861284044393,0.3236510710041083,0.35050789846439856,0.3654155274888103,0.4268332908661422,0.4367906449707061,0.3721301293894274,0.34400532727575067,0.34556441340520677,0.32617536965329685,0.26060878699770795,0.2727983590584105,0.4777454271474964,0.2955195906156446,0.2991206783232925,0.3332632557459833,0.3143017020969963,0.3086466243196562,0.3269276819866709,0.4467607360560109,0.3643250640963247,0.36626173868761136,0.5208796265296549,0.359923826204608,0.4098102698079049,0.3861517745608023,0.5126739133536585,0.5197337634009375,0.4412728917519731,0.3712757041066696,0.3088170650353866,0.32427196355625776,0.282665072598234,0.3216650024457796,0.30157494275100255,0.31811689932055676,0.3953460484190074,0.5042251764985624,0.7731455675444296,1.4825847514887371,1.511295549019573,0.5229147842983703,0.35142507652114535,0.3627995834287968,0.2923038347241145,0.3440590366588048,0.36434401306691316,0.31938503519264994,0.31816048826272164,0.30687561949868636,0.41648001733086126,0.488127224606092,0.4336322907055786,0.5674761156684937,0.5857098610845362,0.5920147159280129,0.4272892715243806,0.3663843858373441,0.3143391760188323,0.31312405333404886,0.2830437283453619,0.33887489829812817,0.33520259083622866,0.5704086745090854,0.3592180670186134,0.4084527406100663,0.5453150272070322,0.32664270835541703,0.3534356637403634,0.34193217751655675,0.3885426046398311,0.411152725954405,0.4447695467346404,0.674717414525514,1.0656863838529407,0.6507958916393561,0.8953061430133148,0.8941725797271951,0.6404849751733818,0.7199227081920425,0.4321067037336945,0.41194214909973276,0.42505154427013025,0.3439589304154791,0.3461511274480717,0.46998128388825955,0.38799708780913766,0.44066039857156847,0.38476318813833527,0.3966039235385486,0.4666648508579961,0.5015153543693939,0.5162712303002139,0.48852932488335116,0.5665379192862492,0.5453148487948984,0.5797549012257059,0.6042067497769682,0.6702911669995545,0.7303172025679631,0.6712115784619171,0.6750800978020491,0.8247327118922869,0.6173961588389023,0.5355825588733097,0.5747054923381324,0.5931178103442566,1.9556157715427196,0.965150222752877,1.5124807954869952,0.6804040166028377,0.6280898837279046,0.6599125527542233,0.7578097595016589,0.5307080067221577,0.4576980518100811,0.5844856191380595,0.6323613302583982,0.6169420055535068,0.45495800260744396,0.9193045901186179,0.5517838017082403,0.5881088276147941,1.0238365136858238,0.41443333870020327,0.48860830524973914,0.6178257943025273,0.6799126313147238,0.8438805493258469,0.8527932038265664,0.912125126287352,0.7104731192170528,0.7020453337624807,0.9293827741650913,0.7695698835942038,0.6761227031190233,0.8449852830641583,0.8989391374403876,0.6831083592543143,0.7250483180770417,0.8798588549578095,0.8162506584138985,0.7254284466567209,0.7438854524153197,0.6630927849571684,0.645853786539091,0.6143100333157729,0.6095968926595278,0.5797314101847805,0.5140517655552735,0.5708311721837467,0.4760410056795482,0.5192418628237342,0.461590416281873,0.47546709715318985,0.616966662931393,0.6122749649669798,0.5374227244469446,0.6263704026937518,0.8053881573189102,0.7176974048070583,0.6357696961453658,0.8435756268558813,1.1835226538743902,0.7475544122437321,0.7086329388148328,0.598907438311105,0.5677652614595897,0.8738291024349325,0.6877335400272343,0.6879438887981816,0.6548608488690989,0.500454948271418,0.45164605868637137,0.36104352017933933,0.42073190960481655,0.44201373072257266,0.4338399424839826,0.6573600054401878,1.4260561875005346,0.48443875526476377,0.6141293167489127,0.9345163754876474,0.8440575851357119,0.5821177833905575,0.7856354671979605,1.5619119177900198,3.7274470888032343,4.803596526548184,5.732977706326978],[0.46650402533242696,0.5090627276534438,0.532239201037011,0.712070632101011,0.4726097293595932,0.4343388416963964,0.3952999867513054,0.32823175572892527,0.30755856551082994,0.30849731978788847,0.29131003187616217,0.38155889965136125,0.31794355979114913,0.3202307703478906,0.4210263607043028,0.37382022095007494,0.3861864977119049,0.3977321932542133,0.5138926086679468,0.4557155721409949,0.5564920986688298,0.5462963651753167,0.6490302880253559,0.8235411711056212,0.6791085726114237,0.602747413613745,0.47528838698453824,0.4135636910985862,0.38838542531341597,0.3800087517500973,0.4329022814858002,0.3980028777374923,0.5423488511466688,0.4891205843961762,0.4066634562057251,0.38613321941369094,0.3940996651086382,0.43693594112129736,0.43650402338010774,0.45167151762798646,0.6442342434475137,0.5302233507828849,0.5228189662540657,0.6812424298586379,0.870627467680255,1.5357607239923758,1.5108305746232582,0.9946266913717492,1.2321074662197056,1.489247992481925,1.18544232190571,1.0085361522598901,0.7787526396033864,0.6558568889935465,1.2804214383858694,0.6344034071051439,0.6515299604733724,0.7480781400028246,0.7984853416368023,0.8574859528843668,0.6719940217033985,0.6725894230374043,0.5649809159971911,0.7612778766988385,0.5647799716884672,0.5648554965306096,0.7291751015657874,0.520987037820918,0.6269715717400213,0.6063734153412912,0.8079342074861435,1.048042939724284,0.7622908818818882,0.852815285417604,0.5688964547282975,0.9503263158510779,0.48555272334767885,0.4685738977631277,0.444523444106571,0.49458809212628085,0.46530129220273114,0.5959487986832068,0.9287411840045273,0.43815123381513393,0.7018749180212683,0.43192421697859396,0.4503238715220977,0.5048635236259037,0.4035226381572573,0.5139210224678386,0.4804009745195628,0.8195494690474655,0.6077978122122016,0.5012318972383686,0.4577822483325256,0.6187904026224363,0.5817433505356266,0.5137430275536353,0.4665354326760943,0.7671956472099531,0.44226506696861806,0.5473487728043074,0.412594278316839,0.439902694932639,0.4340324643570704,0.48594860352949815,0.5125125962072579,0.43500386646562494,0.4310552477989587,0.6689367447557973,0.4018446795400878,0.3969532787704553,0.3905107096518657,0.44550895849331495,0.42887907821480376,0.4376993112948501,0.432551642527365,0.46574283044742154,0.5071849144778997,0.4597007226848269,0.42874149619184565,0.45270611244265874,0.48089443781761015,0.4552905865685214,0.41644457128896006,0.41218932620358184,0.5733061504415673,0.4259234952424979,0.4214311070206055,0.4243058213613062,0.4264708571397115,0.41270001178756266,0.4435425880083013,0.5279426840604066,0.4613668653624626,0.4622191832948197,0.5765871527257083,0.4507330429288965,0.4836854166925704,0.4742763899587216,0.6039371729914643,0.6935604733625629,0.5483718410799717,0.47875347332240575,0.428998298072917,0.42421979465293,0.3890043402292955,0.4226138188450629,0.3962678888631252,0.40262890549873165,0.46632859024030393,0.5552207248009898,0.7963862577705103,1.5662885722888455,1.55288278815181,0.5852863486569906,0.4278009860037517,0.41703381106131554,0.36105734320935784,0.41177572702162973,0.4844126233970408,0.40421885997658713,0.4354350980412441,0.4276744843964893,0.5221586511813746,0.5862510322428325,0.5324045408779398,0.6726885083695578,0.6527129348287588,0.6411775247975545,0.5036013444732615,0.4637932810511045,0.43728371381014797,0.42580307887905333,0.4064151947826997,0.4212180544429763,0.42882818868133965,0.6077818221635559,0.45952356589818905,0.4759881218344908,0.6067386808325936,0.4316441598687706,0.4724841654557431,0.4519116212431569,0.489750930157436,0.5011243560701223,0.5397492518969222,0.7304471881246227,1.1570117640019475,0.7681986859859471,0.9670762627175888,1.0363976420507217,0.7542554746544976,0.8115759330797402,0.572163017657734,0.5334128714728228,0.5321744478872024,0.45005250930812685,0.43705280555786,0.5649330668861716,0.4620993618431673,0.5031501564409446,0.467827008821074,0.4696294264563536,0.5183369243524298,0.557346501990336,0.581313828037276,0.559471952172401,0.6204503928292595,0.6047878149577859,0.6410340721009842,0.6527493454410146,0.7002408097693102,0.7442720693618176,0.7228979067807663,0.7328847854309704,0.8519077471003321,0.688351205722752,0.595602659400395,0.636293474913368,0.6681990993772495,1.890491731575167,1.0126882205702978,1.5102884627969195,0.7197182956251343,0.6600095141390756,0.7058964339505086,0.7999005413974924,0.5913810807716329,0.5341261133266151,0.6251229241989305,0.6898780389789769,0.6632587841849485,0.5084166189766861,0.9467301133784999,0.648023313736085,0.6658816043892538,1.1176638876221994,0.4933048091834882,0.5623657179066743,0.6514785376826152,0.7147142270169644,0.878927410553454,0.8832662473688333,0.9343610602444697,0.7521118832612034,0.7443884612179127,0.9539003767110906,0.8179721221082528,0.7225317451597169,0.8843514690228937,0.9434166117301143,0.7345732647755505,0.7613425199555804,0.9043628567521782,0.8484076669119777,0.7552668809276297,0.7721306948744698,0.6974293110478659,0.690359022814758,0.6537236639042633,0.6431253675696537,0.624005578188697,0.5771452492162701,0.6101057531579657,0.5461055465738326,0.5990119037695435,0.5392890365464954,0.5532587733637325,0.6947585533807151,0.6757049335824636,0.6258957148411624,0.6955073904299331,0.8855319147001569,0.791924809190698,0.7201429626211843,0.9742848301800277,1.279609707551043,0.8619141720482604,0.7833895249351194,0.6638540681464463,0.6194749965330957,0.9138510303643803,0.7563920090390281,0.7883220789906563,0.7190428580349646,0.5534956653010334,0.5065587697221923,0.4391864265153633,0.4800913799038214,0.5067322120877745,0.5120291166466991,0.6864292655166659,1.4350438493673698,0.5580457698255575,0.652206546417357,0.9312436931110033,0.8952307882730324,0.6275474475860179,0.8217239089903794,1.4476368162402524,3.6280289877416507,4.581075022208477,5.354190701504036],[0.43504361217935933,0.4536165874126543,0.46404066192106647,0.6404537755987636,0.3988822874585558,0.38237779124460425,0.26424897703766015,0.2705266327954472,0.23581340751763027,0.16399163405578926,0.1825215153389706,0.2862018323578539,0.1878412730043893,0.20026982166853885,0.29781506958822473,0.25550371368617864,0.31963781751328124,0.3405347543969711,0.4603264222047362,0.3918874960526169,0.501440541934939,0.4770515312146888,0.5819749620768662,0.7174152502677735,0.6590214932272002,0.5448047892530022,0.38941753587879674,0.3242472834635274,0.31670407227212055,0.2865963190794521,0.3628873365790544,0.3095086940888872,0.41624665890102214,0.38659564526909435,0.31096010019602427,0.3148431362594058,0.30292542800252875,0.3521267224778034,0.3356411779948778,0.3578475534375093,0.6282067430403299,0.4548193444998806,0.44727216092724015,0.571299482965813,0.8170169847555397,1.5274988629361475,1.4828062102912616,0.9518276683003459,1.1986739121487686,1.4632182117406938,1.107284497373337,0.924871982095212,0.7085316453132267,0.5838333442318474,1.281539267322453,0.5683754905838148,0.5713276290628746,0.6755306581899596,0.7744215184939068,0.7767939793589045,0.6178926473442778,0.6304722087421136,0.5141632102277671,0.727135320560824,0.5149248160334591,0.5133344365229324,0.7104557844954039,0.5011872264312461,0.604827594476129,0.5969650177429124,0.8273452830917584,1.0993981686060708,0.7846311087251184,0.8313989216840272,0.5498292832141806,0.9402053525297711,0.4485595879672955,0.4168175981973056,0.39253474385440645,0.43352469526600745,0.4095331927929861,0.5356757383874073,0.8899357239980793,0.3548090199392918,0.5766465003410333,0.341033232228105,0.37495265005572187,0.45360657054735665,0.33525372402706455,0.46247014111252766,0.4176314009737071,0.7208374672735839,0.500706270955869,0.36135847881558825,0.33724722315874345,0.444812550298242,0.4109498648928931,0.39339785426382107,0.36791221223169196,0.7444242834507454,0.3618941280478457,0.5465002777162414,0.3195700306612498,0.3941575336889964,0.41401841341532825,0.4426845977702617,0.5645274337536177,0.32392212673860993,0.3433031314491835,0.6410556272367042,0.2922809552757167,0.26748007599043094,0.2637397859791941,0.325610951787304,0.30383319902919814,0.3162332730103038,0.3307409495448151,0.36550541248505364,0.4237821612328563,0.4282299781417754,0.3694205285700152,0.3383821263451136,0.3576926057389926,0.3392498987873842,0.30356445331690113,0.28965338883885344,0.44409103234690384,0.313672583220815,0.30662345836717514,0.33826735491600396,0.33189202977555426,0.34777444262620266,0.3177397519256903,0.4271387141500271,0.3485661369381,0.3572747368167131,0.5264823474449604,0.34570751203643507,0.37735005388674375,0.3843118470791904,0.5295717368281077,0.5411119465992034,0.4346723731412334,0.346175033528711,0.29643799838473783,0.3142024134687854,0.2613628660042083,0.3030660819063678,0.28491484345699747,0.3337422164247902,0.4022667747060787,0.4990780277921021,0.8705290974499015,1.65743366653724,1.525883775589376,0.5289022402227418,0.3467854143716369,0.3700766434016901,0.28280654942489697,0.3500832099816684,0.34456045666023727,0.28906935743766426,0.3008324195185529,0.29595330362348565,0.3938043124101174,0.518912571924328,0.42541792633143444,0.5983918798512458,0.6036811692174114,0.5975982228322477,0.4127614593795002,0.35891617059467223,0.31272557226946107,0.30093255354326554,0.2592217317617164,0.3266570974322933,0.3177793435423475,0.5708709648937804,0.3333791618577762,0.37949632882541656,0.5587864818996395,0.3226751081226707,0.3410877630730253,0.3371757450028344,0.38480873221120204,0.39719773062949115,0.42320324325181446,0.6393143691304095,1.0842216830988556,0.6617943359843794,0.9220358289899596,0.880184347050506,0.6338046947474484,0.6903928933771207,0.42884113616101227,0.4237674584297558,0.4402137523883868,0.372172817147845,0.36737791176545426,0.5144587843655528,0.4070832048050847,0.44744449478717613,0.41136201335914785,0.42557005859632063,0.4856728675001734,0.5100561790573258,0.5204165906389245,0.511611822102076,0.5806308761650775,0.5558496005526309,0.5984224712686935,0.6285070683549823,0.6725887890803218,0.7111978050670049,0.7013701826248074,0.7013593239021546,0.8707262807206082,0.6583554480499447,0.5651914316510483,0.6180112168349478,0.6489099424638498,1.8833196544742206,0.9855982086777286,1.5557460987481142,0.6915986944396648,0.6120132945897893,0.6571538009688016,0.7463980864552248,0.5475707812161522,0.474386077445854,0.6013178887215292,0.6359814337703191,0.687840278502983,0.4944584902009886,0.8645409383348897,0.6315613005036534,0.6458408415532987,1.0782558441015566,0.4628608298402948,0.5043882200678751,0.5809373414254859,0.6619091695925008,0.8171893451700081,0.8360910887432023,0.8813046723447521,0.7073176523693787,0.6895680307341551,0.9127371569821515,0.7670830568855926,0.6695283384883134,0.8331371931069187,0.8978700341237681,0.6920710022975174,0.7302498298531701,0.8800933774877467,0.8230078598103256,0.7302548047137483,0.7527751940969397,0.6807298995557037,0.6587796142902834,0.6153830899133093,0.6020026907834853,0.6048701056057667,0.5392391071035308,0.5900346697243659,0.5206785778166909,0.5643083742687223,0.5044326141342977,0.5306097599921344,0.6746532287576196,0.662461551605351,0.6036964424355884,0.657627678806119,0.8733932240054831,0.7640639138913765,0.6848124552526011,0.8485764859970483,1.1624392601713491,0.8198608518917156,0.7407087678830894,0.6120307204895007,0.5684103220639135,0.8636757157527591,0.7148459748605591,0.7334727992661805,0.6769165683145119,0.5475395866599773,0.4685768251501203,0.3730683889424536,0.44047294647102814,0.4471249864362303,0.43465010064197007,0.6690279393333505,1.4702371954774922,0.4946001298628029,0.6170933981333571,0.9126848577457927,0.8749590817890535,0.5849401450785277,0.8023927023933254,1.3362603092644532,3.5352170582352067,4.430158511930402,4.973712580294726],[0.4216052231533137,0.3695295403877632,0.4378487733222702,0.5998259042309206,0.3677838600620771,0.35087429435221035,0.23942752621638083,0.25915605016827015,0.20497452603975125,0.183065570461571,0.21033089134803096,0.28614653955938013,0.20435568339414142,0.21334519966448123,0.3480185884371348,0.2810754709697039,0.32147472773549807,0.35382524162584605,0.41776022122177325,0.3748603590181506,0.4761824592267906,0.44669846244970063,0.5301037121849184,0.6539359454601426,0.5693769743025264,0.4805606209626224,0.3666223736751873,0.3271102747296691,0.3328532878012451,0.3183101171825978,0.35461363420713193,0.3238926817586292,0.38886844295024636,0.37389719797100446,0.33041816246349076,0.3372479751661269,0.32860659279221827,0.3646711536825199,0.35676053925727685,0.394102594302858,0.7128011087209957,0.4266555111185809,0.4458702024233375,0.5051490889972627,0.7433425400874683,1.4868214223275127,1.3291417276322357,0.9679721501069337,1.259077381109823,1.3390334479339236,1.025415938487802,0.8499348392342756,0.6487590195481918,0.5284034587841031,1.3549433699989117,0.6544388750838488,0.5912416601505303,0.7016884533014831,0.8454859226013888,0.7394457456252075,0.6049076306319169,0.642014139419364,0.5112901122925377,0.6852084009597869,0.4774770161389119,0.49214138172148314,0.6726291304621702,0.49241315181630324,0.5787413248821175,0.5661177110828615,0.8462464167464425,1.1492568296308663,0.7860099417064584,0.7489067284041644,0.5453284142033676,0.8830725870162706,0.4345013357633165,0.4122598531142242,0.3903415105436749,0.44190978954003957,0.4692031754592718,0.5671486903509185,0.9545595295390124,0.4356013268510712,0.4963413668161185,0.3692959126714163,0.3975046124362763,0.4820278258519143,0.3452840183584327,0.47703587478262477,0.413800155659443,0.6299930694195223,0.4426889914464923,0.33879174706663073,0.33384273906297846,0.40974717378193853,0.40994534717785436,0.38378743855060865,0.36980677249670135,0.7469835532856786,0.3783999193835423,0.5558558687214128,0.32924213521638945,0.41811706387611214,0.43690337963327747,0.4462175460937897,0.5830089714065547,0.32148061877764694,0.35010775590346743,0.6586219531751112,0.3045181501598884,0.26148891912444067,0.24721578198735514,0.3484022208540134,0.3245972873127375,0.3204293786454553,0.3351710514300227,0.35575889996136917,0.4071524758314683,0.4211308375365605,0.36752746206509196,0.3079888701768829,0.3168342761611091,0.3295976680058084,0.28942957925936336,0.2997551685418514,0.4450747903055883,0.30119371878801837,0.29037684998033414,0.3417997783641839,0.324078554179779,0.34179467574517214,0.3183750317330417,0.4466080372671145,0.36071633948431464,0.3566413704493393,0.5498405142193284,0.3934157544964601,0.4398625177384599,0.4047202191230935,0.5105044114607554,0.4887224593062161,0.43278127696845636,0.3659937705517371,0.3070338427051117,0.33261968349262105,0.29110999408026056,0.333287821669791,0.30270637208822176,0.32614118809571147,0.3936519243669601,0.4937520543989821,0.8742568074642522,1.5871495940391587,1.534604176849198,0.5409288387819313,0.354546676186024,0.3759690436173138,0.31225042401120534,0.3814168716281948,0.3535179715841118,0.3117020009656953,0.3184828377741506,0.2943180897631127,0.4058884829962977,0.5077555474382986,0.4299482862235783,0.5565433956415355,0.5925088205899613,0.6076327862080496,0.44045015881861205,0.3901402442966895,0.31805903147856995,0.3131695134133639,0.2868300703354783,0.344323551053045,0.3310141896940497,0.6130393660477892,0.3538448955117528,0.42592754144760275,0.5555110594243835,0.33561485302014143,0.35835679417258043,0.3367246113623941,0.3746253478263501,0.42289140264370767,0.44444037457951063,0.6867816471487127,1.0178525896183492,0.5967828664553463,0.8749460336995697,0.7983818095340832,0.6043382827816791,0.6961946104829615,0.4186455444751451,0.4109142436614911,0.41927463351424377,0.3619961294007225,0.35690324235188386,0.4756383289148432,0.3919635299354038,0.43939797165377115,0.38732644479127315,0.3971636808793647,0.45743571637590297,0.47633541740020224,0.4810227471820727,0.4708510684421489,0.5548838812432214,0.5254599174935751,0.5681298274400463,0.5927455929921422,0.6469576530526577,0.7136069603269639,0.6648274678074234,0.6529448946917302,0.8278300960278422,0.6208186157480358,0.5304016184945135,0.5769994548955938,0.6066967170420096,2.008244948509938,0.9707274931745339,1.5458940546760447,0.6766768788260948,0.6385604925536532,0.6770605324368011,0.7959389841317535,0.5463796912149452,0.46160046863852416,0.6075454639232741,0.6368134571680322,0.6560642679724569,0.4816157661407826,0.8937686014308595,0.5516060594926431,0.6118208875437395,1.0026356752288985,0.449836577452787,0.48815460749542355,0.614583397389529,0.6854028721028415,0.8489318928570261,0.8570424533880502,0.9032071522599391,0.7235638345583388,0.7002616865519957,0.9304308040382134,0.7647480949255571,0.6730762291934026,0.8359063444912325,0.8859893898895577,0.6646690286299113,0.7170056577679694,0.8795663059968848,0.8046020476774957,0.717567020223336,0.7428301922062618,0.6624680541917264,0.6503820423933769,0.6148962126491829,0.6066632157864408,0.5903418790646773,0.5123156215879447,0.5652129238828308,0.4874345366792558,0.5291985356290303,0.4687041014477376,0.48278775482030184,0.6194486769164669,0.6242203557157541,0.5634316807638854,0.6308433210469748,0.8165017689081945,0.7246520668412304,0.6637048734883346,0.8073869534243984,1.1499143689539575,0.7629334523955253,0.7123499624144163,0.5883086266698788,0.5691651130356011,0.8779519484324669,0.7097808071247648,0.7035456301535102,0.6383211461866325,0.5086852141543221,0.4486852462004066,0.37696396836047524,0.42979640790611456,0.42432589147922867,0.42590093636040754,0.6765132393863909,1.4832596224568042,0.45274777552051815,0.5993376895558205,0.9542849289974996,0.799574049318443,0.5801150136500842,0.7938297639583173,1.5850563517701453,3.803114871176723,4.977380618033517,5.884701387748866],[0.48682319901067633,0.3835606847133835,0.4652176106081976,0.5830914819092349,0.3907295252530545,0.40969698161029744,0.30982478086461707,0.37424094722148876,0.31136260609704053,0.2916270207945851,0.33772077432815645,0.3967921614275496,0.36117479699011773,0.4093207552624935,0.5186826284632255,0.464667611647964,0.5105001071256968,0.561106282548451,0.6336867911683248,0.582837783177356,0.7294153485101613,0.6699828759819635,0.7625688636135016,0.8980975362468308,0.6761871333293608,0.651711376424827,0.5639158985797573,0.5039888839712807,0.5128729969610212,0.46972863902838213,0.5407516999613888,0.4519209390296074,0.5585003053319213,0.5448488393859586,0.4891169495174022,0.5093712322806214,0.4676871527792844,0.5252556768074652,0.5141084524024924,0.5339971549344675,0.8146149050691882,0.5977190185681589,0.6400215687496226,0.6361665552940337,0.87185973351386,1.5131926022902842,1.3898503623845535,1.067527921682527,1.3048512355943656,1.3701169633185488,1.0805787527625672,0.9256722985273363,0.7324682330884912,0.6375312899649733,1.4561645269034484,0.8225267649655665,0.7629919609051248,0.8554086580194606,0.9722855891648385,0.8878039148677345,0.7930140306203551,0.7873519039962961,0.6938829935975555,0.8697480441990918,0.6932659160104138,0.7052269748510805,0.8959116557889423,0.684472271963104,0.8021672839543,0.7594377783427161,1.0526942954435088,1.3566515460969957,0.9437538258203227,0.9537291223031155,0.7370651175480221,1.0845666355202108,0.6363721118464399,0.6072340519395178,0.5765067411236858,0.6172611799528364,0.603824822974136,0.6869791112041713,1.0774326034005115,0.5604634521270254,0.5722600789440934,0.4808429633513641,0.5528145041009261,0.5961450125454614,0.5373394345671321,0.6472268292626273,0.5955823551247811,0.7740771666210114,0.6226348088557982,0.5229676341998714,0.5094600004700353,0.5647271530450254,0.5678783822378275,0.4904789667482053,0.4750459519413559,0.8703079111903078,0.4854997776405607,0.6182191277871394,0.43283220709007675,0.5073219653619331,0.4951576065927934,0.48996912376079294,0.6286089207820434,0.38848337084505474,0.41230533154371196,0.6825599078226046,0.37827304202902456,0.338896063481081,0.325251863132784,0.410923550902472,0.4275730570708276,0.4590415038219763,0.4976747354722579,0.5343224173666586,0.6266596680630363,0.5925601037442452,0.5622438632738432,0.5268414372700931,0.5067436066014713,0.4517730867152601,0.35373949775937186,0.35093427375479863,0.4887740036565917,0.34250374318368165,0.3406237179658145,0.39749852917960743,0.37641023660342293,0.39997402408447563,0.3750032347451997,0.48341839928179814,0.4109576935535593,0.40094995479444673,0.5608406925005998,0.42422140258060553,0.4753260257761765,0.5046673118440751,0.6330247876364256,0.6548875105678759,0.6029526926676019,0.5121540028992843,0.46498249124717256,0.4825058173019006,0.42569196244078716,0.42798212357639087,0.39011720494879243,0.3943412178361881,0.46980074761428137,0.564965624247976,0.9880317395773733,1.7063311604150988,1.5762212029515423,0.6636928517175471,0.44890214743764856,0.4664120611408117,0.4174399234593219,0.45293573983373386,0.4256749622375781,0.42823849469231595,0.4348225586398083,0.4274926421170821,0.4708916940866333,0.5939566125164364,0.49831676610375003,0.6379709501558857,0.6371295566570078,0.6541933145720048,0.49160588726983184,0.46532530362470875,0.3946244550280064,0.3949268576193364,0.3889403952724617,0.42681702666136145,0.42742943044171466,0.7105440993436326,0.45677159547670604,0.5053921096501081,0.6129152942429228,0.41079764140727515,0.42806026268842684,0.39216333518044416,0.42641487005707057,0.5077948833085111,0.569793258032967,0.7610334327755859,1.0822739438751325,0.6474455250150505,0.9211105571326729,0.8711489116513765,0.6405419334682192,0.7307977207913834,0.47368463256246185,0.45579937437711193,0.4631923898797443,0.4161438615651702,0.4075326816803389,0.5338740631155379,0.45632577716740624,0.503400980691823,0.4521786410616841,0.45265060930476836,0.5196920475410384,0.5338653542504729,0.5206556431514866,0.528727503873751,0.624067609169287,0.5840393465977762,0.6255366807916134,0.6575525776908319,0.7020149025949975,0.751455675326164,0.7245519281123026,0.6969917684891556,0.8772734139894818,0.6680853834711151,0.5884431163281871,0.6441868972392554,0.6694099011085588,2.0474949175317882,1.0100416987908933,1.561438848883813,0.7211833805870157,0.7109232844662481,0.742366339058139,0.8503830525924696,0.6239007622854048,0.5293803159792361,0.6509365724917976,0.6661491786505153,0.6939662793105171,0.5203275212848669,0.9173410991864465,0.5948660232573708,0.6451235782062626,1.0424657710602185,0.5017837352557883,0.5351229808310082,0.6606446813556732,0.7299368804892671,0.8945643157615011,0.9210402960326806,0.9606941752608786,0.7728820529701329,0.7674909677497155,1.0138118867726826,0.8268655519756183,0.7337314142708758,0.9012800459625285,0.9466994211535332,0.7313735543663301,0.7943400046726805,0.9704016226392527,0.8822196018301954,0.7989288648099293,0.8310360027409818,0.7415095372326075,0.7260727545421591,0.6841106037630402,0.6733023080147688,0.6640193440075427,0.577022033311067,0.6053935612797696,0.5523029868837535,0.5918368799500777,0.5175113142087332,0.5359988562965001,0.6723211302742622,0.6607825260613944,0.5977074828834542,0.6525573137751506,0.8544624998747558,0.7497392997707255,0.694232139516334,0.8248741893123749,1.154295884054904,0.8244529159966592,0.7415362505893703,0.6228705585580129,0.5918399555853012,0.8872408572330028,0.7392890999264511,0.7438964147704643,0.6643576837918209,0.5614132622324804,0.49330669288222384,0.42754833245370444,0.46682897618819746,0.4718382222431037,0.49910952943340936,0.7475591040520158,1.5605498601258034,0.5182505749644581,0.6566805181916635,1.018243633710592,0.8314299411430186,0.6307237269053722,0.8547173906901114,1.5513090838153007,3.8185153123670417,5.133843519155664,5.974616901481917],[0.4439484165941787,0.39510991595768974,0.4426490300012805,0.5571882027861338,0.3910396701566663,0.38908985731722306,0.2881211421444882,0.32447114977272146,0.2717177787230547,0.2275287218420268,0.2710743071082279,0.36810316433930584,0.28806082369985875,0.3055850658140545,0.4310747764183335,0.40054360083753465,0.41775432340281343,0.47125062196564327,0.5541082112184977,0.4994263620323019,0.646766960900084,0.6000283631404364,0.7001765935529656,0.8522358483413828,0.6631503978103795,0.6074728319195131,0.48972171767432654,0.4107347740923449,0.4282197892753185,0.40735801907883107,0.4891019897286604,0.4309117706136485,0.5592227091314779,0.536588950816351,0.45734198843080887,0.4500919905715842,0.41515299598985844,0.4553971976715179,0.434446732526109,0.45156009317505513,0.7238816234170159,0.5347503679076976,0.5498815990577277,0.61246041400555,0.8690276198335395,1.5294648870355783,1.4695428400356934,1.0302195304404527,1.2493124577324142,1.4262920221170172,1.1118670376696675,0.9014989989693807,0.7187568087093058,0.6073709287680588,1.3769999708564629,0.7143716278506009,0.6779141528569567,0.791592256335868,0.8989993634802086,0.8574590580921112,0.7429203108674087,0.7429249074260427,0.6581438390973781,0.8401320603964091,0.6369419316880499,0.6360433553980847,0.8480448582635034,0.6118984059241163,0.7162626812210842,0.6714513948801261,0.9351573101017209,1.2413676453273357,0.8612977010959865,0.900533281207052,0.6687525499861534,1.0537295022255877,0.5852548406717912,0.5774045431236627,0.5266248663028843,0.5595121083179279,0.5501093817005256,0.6338036144911896,1.0191933111572644,0.48240825180465,0.5707815193981591,0.4298463691570513,0.48639124031946795,0.5564371123146613,0.47325613338386907,0.6151298207992534,0.5591829100679016,0.7648909976878018,0.6100040528907501,0.5198125538515392,0.4888032593775957,0.5676452663405259,0.5320434362844754,0.49757327080424785,0.4733400174389249,0.8611457144896945,0.48148342866485305,0.5968997201599905,0.40252747109399684,0.4668959957191434,0.4674721522093826,0.4622155745932222,0.6304308651243391,0.33002450843269987,0.3516518050203177,0.6593737310726324,0.32008721842116644,0.2803436099455369,0.2736787658261001,0.3664315895057285,0.36978516970462955,0.37736087126297185,0.40064958715388954,0.4353043619149507,0.5308681364367152,0.5023540991783374,0.45910589325811313,0.4147453473319093,0.4204061901657662,0.3865817372263891,0.3435926456630316,0.342392919769385,0.4621522016953965,0.32833392334949335,0.3077723006166357,0.353666261350153,0.34466687479270053,0.36341866201012846,0.33365626399016224,0.43795493486901804,0.378370725797066,0.378053960362514,0.5702984711641541,0.40496954872462704,0.4358159551191902,0.4367420737954738,0.5692633493343944,0.5983644018340843,0.5092794857222799,0.42540700419957933,0.3711245941354159,0.39913023697506,0.34513202960532097,0.36588244078991117,0.34837525661375596,0.3628967061999788,0.42419787927828817,0.5185248604007802,0.9752567978461529,1.7378194212938387,1.544621652178284,0.623435710167537,0.4080978065607337,0.4264329258111986,0.3709987977020738,0.41013843037415304,0.3972149307570103,0.359213195375875,0.356792784447768,0.35463897662385224,0.44773537571466365,0.5445379236147189,0.45261578984032463,0.6190510291817055,0.6255406947279296,0.6298639698955868,0.44905619309386396,0.4049408431603492,0.34927836469059886,0.35244156513753927,0.3286906033637372,0.3836588036517625,0.38775670581264576,0.6661209669692325,0.4105148270337741,0.45264991476429145,0.5747335115419512,0.3632247529045875,0.38245447703019564,0.36041109825088996,0.3948459436873925,0.4483815657202065,0.49801457461693066,0.704118959223206,1.0924893062813623,0.6669428566786718,0.9315493764937058,0.8746480483101462,0.6451746920183619,0.7049788160065739,0.44149265080964,0.4346707961933479,0.4659184087354851,0.3810765311967499,0.37869023552438014,0.5047421271202291,0.41117809569262176,0.465492398232832,0.4101418400100277,0.4112124315530117,0.48842853250191764,0.5047296906301577,0.5061126141220182,0.5094870021203086,0.5983697643391453,0.5602146292417555,0.6166883890062572,0.6455565835163383,0.67317449994429,0.7432450096843312,0.7280677525842204,0.7102943255337445,0.9060926022104665,0.6729902434679821,0.5733455875845317,0.6382585193714143,0.6721775330777929,1.993199355742298,1.0176148926530537,1.5559498762691961,0.6837151482826086,0.6728201591273698,0.7194683437529112,0.8142781795123999,0.6000415418413192,0.4996205721151578,0.6342021255023379,0.6478989722323574,0.7047904957435847,0.5097284624148049,0.8995780128593915,0.5972308435430997,0.6281380005732511,1.0411286303431577,0.47074396762902176,0.5106587009329053,0.6287431132651233,0.7089477044059439,0.862542814599986,0.8772428450041011,0.9221282347075941,0.751690051402687,0.7318658373121868,0.970871879229145,0.8017280415827455,0.6954910773176486,0.8767392895791936,0.9345800429125597,0.7087214460263934,0.7724315224614782,0.9435019103048576,0.8564315146941847,0.7664837306247415,0.8057323663844032,0.7192627476011634,0.6967378088784367,0.6470113815409204,0.6317549571644487,0.6348451716183913,0.5524985436630971,0.5874765071272636,0.5287376336211359,0.5732197744654801,0.49301884837536974,0.5217081077713447,0.6701048406044358,0.6505305208477338,0.5787896959432142,0.6382533989780965,0.8644979774129108,0.7561554614098585,0.6917335853904699,0.827078358673329,1.1419726297280515,0.852247539797316,0.7512140322789942,0.6204953719077795,0.5758974520681218,0.8633801088303661,0.7319164169558477,0.7497621438448494,0.6637683112074968,0.5671149080245147,0.48054254926661033,0.40438684243613876,0.4671409947841738,0.4677412392978604,0.43727888649173086,0.6873314358127653,1.532825929487287,0.46203641640385334,0.6071418067473915,0.9315324255167358,0.81411774000814,0.5743704587536634,0.8048920648576879,1.378271232616731,3.649731270820253,4.820553339791263,5.40934824839114],[0.431327821318497,0.3675394028752917,0.4536788631803027,0.562027443600216,0.409372037217403,0.35446189819383334,0.2764335260906676,0.3868398930771026,0.3311649678547841,0.3088700890117587,0.3649575842852455,0.44907682846710634,0.35894680493092407,0.3361687546440502,0.46908885517665005,0.4269470127280495,0.4141589479633106,0.45099308910030167,0.4907228782377769,0.4602663058543616,0.5725993553026129,0.5464704890082785,0.5902086645046973,0.7249873368927853,0.6188951696570367,0.5328523682336126,0.4486052474711224,0.3958231999857067,0.4277808318469174,0.440465453208762,0.4829800275716195,0.4635261412440646,0.527535663674566,0.5159358504252047,0.4678839194891548,0.4565658590665742,0.4591856088724718,0.4737590480593049,0.45977432016524356,0.507769097061058,0.7948139905805172,0.505820061226485,0.5390761981644265,0.5680821209681287,0.8191729732331869,1.5322882472287351,1.4264810183170427,0.9951480715659071,1.2692026503638485,1.3784511889985744,1.019411234877405,0.8529576528698225,0.7015264800151936,0.5910507839297765,1.4220728438206862,0.7525599961385508,0.6711496906547041,0.7852663096077243,0.9193789067548929,0.8081525694571806,0.6787450909587706,0.7158351640145286,0.6088976305169862,0.7630729809338022,0.5689037729091122,0.5924560860041271,0.7719408830003903,0.5770661805942194,0.6622136191931899,0.6330000628515059,0.891564983835852,1.202951867606575,0.8337848354686723,0.843403297668374,0.6338976975017566,0.9989579215436718,0.5387854950863379,0.5321594614547295,0.501042432554016,0.5543181437498914,0.5869563468254152,0.6778532361380177,1.0209922511229603,0.5712422491425955,0.547568172963698,0.48994948024759283,0.5121920036978027,0.5791533973422025,0.4682744313160897,0.6033820568224778,0.5282865524795248,0.7202530650472927,0.5663551602093573,0.4852587940443201,0.47482161355231856,0.5406196140641774,0.5340072553951871,0.513500210981545,0.5065236287644463,0.8052550203585706,0.516987359338425,0.6335643540163662,0.45784533553059387,0.5452622742631595,0.5456158365990317,0.531767227402817,0.7438198242204151,0.4029777380711891,0.44189437709261803,0.7480582367119345,0.393662460156814,0.34634592058087527,0.3146436694158316,0.40126491367192896,0.3738192567713071,0.38827802233956077,0.3956091172214784,0.4166000849378896,0.4906031399291023,0.4594448711639872,0.4413385661692476,0.3995565741661189,0.40893742902213076,0.383310749534829,0.3489245815354931,0.372903294239042,0.4195003737381212,0.3724985262335277,0.348353876398702,0.4138266214916172,0.37661711349948224,0.406677859420986,0.39112093599916636,0.521116459199482,0.4372202276993095,0.4540995465200698,0.6252593204024872,0.4443105624856361,0.46199088061386906,0.4476173277547017,0.5412203324106679,0.540177373384519,0.4861716326776045,0.4156625927741472,0.3865252826617723,0.41975461102552963,0.37742767029273944,0.41967492093424147,0.40110641091647486,0.4065429972380966,0.4725775123962022,0.5661802181458198,1.095241702058496,1.7762243970411573,1.4353543363263308,0.6381021090507125,0.46376390632469305,0.4956697666757149,0.4282281053087104,0.4891632343237032,0.43548493892387025,0.3985072012376166,0.3936455691919578,0.39347860893703623,0.45950883725436464,0.571632385840442,0.5081391689454523,0.6346709675049655,0.6827509642729045,0.6791260079842663,0.509386266217889,0.4476636143549725,0.4065408372561758,0.4044056483737171,0.39880476599963777,0.45839036421839796,0.4478414596751758,0.7305177870445435,0.47591782146768874,0.5455079338880862,0.6440087185708809,0.42110657159746695,0.41929535334464213,0.3957659880949813,0.4394600220998296,0.46253591292135515,0.5288325930370122,0.6584423516396166,1.091226046691885,0.6772738193387378,0.9015982694672505,0.8534824746753525,0.691788692238599,0.761082050770125,0.4700702868418377,0.4396618238899759,0.4615775299941049,0.41209223761291003,0.3942487068184455,0.4903277270054605,0.4390997551027841,0.5115067722634778,0.4474578600855901,0.42926722857278654,0.5055970523603228,0.5120969161383616,0.49820476976958605,0.4997177327100976,0.5954997918772326,0.5419839988048704,0.5949275752151443,0.620514382851101,0.6395627383000023,0.7399284339568658,0.7048321308549439,0.6979370702235527,0.8865607415934723,0.6652282290479152,0.5725224831802482,0.6369234387196093,0.6865991218351883,2.032454644902556,1.0603225330828092,1.584823590944906,0.6973866060063784,0.683483171669995,0.7321593021006941,0.829568012182437,0.6034308751817103,0.5200500368339892,0.6744783460840746,0.6732109772364264,0.7436542996788796,0.548440565157696,0.8853411924653357,0.6045640605340601,0.6423056691475253,0.990312819131237,0.5073422537558876,0.5101793254230357,0.6543206103536741,0.7302854800806803,0.900046749688204,0.9184418494789649,0.9612325173063947,0.7960926420774984,0.7449410355250448,0.9918282642225318,0.828356209570243,0.7183140463604825,0.8852707432681706,0.9448877623507472,0.7145754217529776,0.7701764504940473,0.9324468188915801,0.8354065508509286,0.742031265292662,0.7856328390331333,0.7043869037614253,0.696590943916833,0.6649330846253803,0.6548983428560191,0.6366839520530903,0.5500355633203879,0.6240808776103048,0.5373865125449852,0.567362261738061,0.49976195073076085,0.5270744783395325,0.6646570108087281,0.6490781343589522,0.5684941783029617,0.6389697891070977,0.8670921435075366,0.7262283501235913,0.6681406833026766,0.7710344855493462,1.0748748897121179,0.8413926252767093,0.7463759058931919,0.6159231983013199,0.5690610293934504,0.8517219646948494,0.700549378614769,0.7043602679316451,0.6506434645823355,0.5362513637405328,0.4645997782217693,0.4087352790533885,0.47431134238573724,0.47945090681581126,0.46998868724343196,0.7050641067583814,1.5682771632845252,0.4680895318152647,0.5901976387697666,0.889615788606474,0.7777137910227986,0.5398296443474215,0.7674896526656366,1.3614405037351056,3.6458075845978577,4.80509242758858,5.299745697900956],[0.46430431543816253,0.34058322318588824,0.44614942369172006,0.5247196322975705,0.4037420017067582,0.36606391948109085,0.2733657573452695,0.3763306844307907,0.3161088275265028,0.32529484773401607,0.41972541578574024,0.5223096258131041,0.4209242152981418,0.4018260148674125,0.571617764605678,0.5299272024871747,0.49146388021851733,0.5422322467223972,0.5706198067866557,0.5484806886740224,0.6745068087221602,0.6362971802672513,0.6806697492281467,0.8063254152673911,0.6238769467255505,0.5769831935133053,0.5098260625047074,0.4630554280254294,0.5137201025737232,0.5223776389371441,0.5969335013724087,0.5599022509260587,0.6587779803943888,0.6411212889509671,0.5823075575512925,0.5564604883372469,0.5474442623509426,0.5478058131584517,0.5243989819430005,0.5743831085153335,0.851001975851084,0.5676895492050945,0.6279297999396206,0.6021796030097005,0.8379638967225035,1.5109451206390814,1.3902268177079207,1.0344413213889858,1.2918329428464477,1.3505148677530168,1.029080539347391,0.8751591897080415,0.7302784463842595,0.633762166439193,1.5195145679739592,0.8938410491193693,0.7769838543899343,0.888862804287089,1.0332148249588649,0.8838154470868556,0.7733004316106359,0.7971946508063296,0.7057586233080692,0.8568589703648907,0.6697109199534013,0.6859330142138397,0.8788704006838199,0.6736817638731906,0.7521604855111163,0.7142927649672428,0.977065876925242,1.324663960053132,0.9074097319578764,0.9252833675354433,0.7372606504078576,1.1330488087836619,0.6541287398413687,0.6690617361078847,0.6280332656199443,0.6589435769193401,0.6864276810981467,0.7486697425909229,1.1301982601951928,0.6806134048960498,0.5602637812084443,0.5534897139368489,0.590232809119605,0.6672765555330962,0.5729561146877603,0.7145520953311966,0.6583519664008588,0.817245068803742,0.7133494996256513,0.6424705559744078,0.6104767731546202,0.6893069243064993,0.6759614012205043,0.6120139243084959,0.59437411055077,0.870932367918124,0.6013072176897547,0.6995845776036895,0.53027604480212,0.5909149220982325,0.592124663132017,0.5432987882568718,0.7777490664142728,0.41645781238243507,0.4661787740292151,0.7523259682396045,0.41389621262481685,0.3621961298398182,0.3203162060958885,0.40819489614480176,0.4161768029172162,0.4232846385296503,0.44424812638274097,0.47102318221585415,0.5500265066140132,0.53755960571191,0.49546797960746475,0.4586293858301615,0.4400966523450428,0.4091126573008559,0.35547028548395304,0.37167959388371763,0.4392655043373254,0.38435519852206546,0.3633063289926233,0.4271306703833818,0.3910667935034349,0.4182437179802568,0.3996240949141364,0.5263858493769483,0.452505407887075,0.4612690088771313,0.6401012938186915,0.4530047925068654,0.47115621873741653,0.469212378780942,0.5735320829715768,0.5829843203408789,0.5378751534285651,0.46527306722910267,0.4331673672713557,0.4782021275573543,0.420777199845465,0.4659277594824195,0.43759026365550385,0.4241396089636545,0.48567254398891785,0.5629474127669641,1.1595165261650688,1.7709677649241946,1.3480864418509027,0.6969148299136346,0.5291013868053457,0.5298579775217849,0.4916768059337429,0.5143040203789478,0.4549739734509318,0.4554977785508553,0.42733072378603776,0.432352031782172,0.48999248783064214,0.5838201640414296,0.5087681491220124,0.6266472248427508,0.6806531586523151,0.6774645124293309,0.5150018783311625,0.4633745005022294,0.42268117527704796,0.4346623744503861,0.4481012774760407,0.5151184498330077,0.5109113962518399,0.8255156030439211,0.5397236115133152,0.6067282403814743,0.6542356465568914,0.45386726231536023,0.4497929898466033,0.42089074314993824,0.447066747845245,0.49028751719733726,0.5682803295669303,0.7235232526378587,1.0659269850689628,0.6508154769281767,0.8887965220130405,0.850442701404751,0.6860697825952464,0.756689490664523,0.4816980181003015,0.4557071997875168,0.470850703230566,0.4197973909399782,0.4131134838132228,0.47989211423960254,0.4617784917916575,0.5372259389187053,0.4577397639196643,0.4497512988538926,0.5279075268912007,0.5181820648612112,0.5142947161792728,0.5187932891538292,0.6205813699449247,0.5594444359998709,0.621060110544497,0.667810940322957,0.6771701860159794,0.7754317392790421,0.7665707255960253,0.7258255575243743,0.9452351177175591,0.7040001885017239,0.6181989899515913,0.6986953697093763,0.7520561789482787,2.104928803520363,1.0721137023120926,1.6141372155515024,0.7285200598115454,0.726159561085806,0.7729600932607454,0.8787262289537446,0.6570381210247854,0.5646069943315438,0.7059225249550272,0.6916710170482457,0.7726630473766226,0.5720596440513205,0.8947196337925931,0.5849555582904546,0.6328729921938986,0.9632471569989567,0.5316944307026424,0.5379066434281671,0.6895540242817726,0.7609050387338377,0.9287146706155683,0.9703994647338833,0.9834435944212587,0.8226282948405613,0.7918880020551338,1.047924696105932,0.8590651661823324,0.7389508073808142,0.9175463470720104,0.9605402302668493,0.7283996265344508,0.8141351243917508,0.980707135589073,0.8585775324439373,0.7986937537386021,0.8560748793566885,0.763718306787594,0.7527341017871882,0.706350616727913,0.6969149345362202,0.7067851223951144,0.5942491162817494,0.6610967521237555,0.5887944213412597,0.6144504698403698,0.5155622424850445,0.5579767506185719,0.6783477022963509,0.6438566567938412,0.5536918171289883,0.6456028271500956,0.8567444965135588,0.7228619465866555,0.6733484911385235,0.755160135424793,1.042708274238167,0.8890632232578196,0.766413924380963,0.6329667679211095,0.5974423858107569,0.8731510279902531,0.7342105339386695,0.7346112235458059,0.660508471370366,0.5693188012135624,0.4872382974637177,0.42974056436020974,0.49912177725191836,0.5015429865986392,0.475353414731265,0.7138391530396023,1.551735969791502,0.4517184377370768,0.5949441941904229,0.8793818473374343,0.7383216683610961,0.5637576044534697,0.8091245139582586,1.3391585580848868,3.578840673182971,5.018177993434401,5.583560359715513],[0.579503912577642,0.44901119808712026,0.552037777719042,0.5150223119175553,0.45346559260662866,0.42248041011174026,0.3486676245742725,0.4564459509756789,0.36367474642697106,0.35732979756647965,0.4343779224686334,0.5579164138077163,0.45810838842190693,0.40199210630057225,0.6296507929109816,0.57683618091586,0.5100891388272109,0.5735877342599469,0.5836055877551972,0.5718053592389514,0.6739933850522949,0.6430919524624795,0.6590942194201337,0.7711483492458787,0.6273015002330136,0.5811776332719276,0.5183943264086933,0.4953727178707365,0.5544237245063794,0.5711068241938402,0.6310025191224397,0.6373707254453101,0.7340668129158473,0.7229885522171338,0.6555121872710586,0.6121333040819691,0.6272540637910856,0.6016060353769869,0.5765340893815634,0.635746855191699,0.8878966027553067,0.5764091352696991,0.653317053087585,0.6090238988011022,0.8241372233718772,1.5294989089821207,1.352260705630815,1.0498500354772977,1.3512655742623512,1.3178485930520187,1.0671440095734261,0.8778258749556052,0.8158229390113264,0.6767762046977895,1.608083095467648,0.9882955975664134,0.8013140165581126,0.9431854785945333,1.1212747057387593,0.8966405609872741,0.802083812998001,0.8507722157623221,0.7607229380098472,0.9174374733119698,0.6994742762918409,0.6987893055109813,0.8880878716553177,0.7190010833142687,0.7567263186423044,0.7442437908020041,1.0028963669672895,1.3703736998012284,0.9581457169396056,0.9329196973570939,0.7692390311490546,1.1373489759416182,0.7025765606708537,0.7346793593381393,0.6929752874958536,0.7163841430852322,0.7655434364045435,0.7830615630054295,1.1563627812990716,0.81105249583801,0.6174414660534477,0.6346838233577505,0.6485307688168999,0.7328472305975557,0.6273178887577234,0.7725154504089446,0.7181305689202881,0.8450916123453532,0.7709327413715985,0.7296648399870561,0.6729591233670245,0.7795075990289062,0.7245641208980494,0.6861636686072823,0.6835990996586622,0.9301172376429142,0.7154512701076992,0.8290665841663514,0.641853050934483,0.7008058125030552,0.6930591798112147,0.6494485953728051,0.9353791053802074,0.5702381871955976,0.5951280669230641,0.819499651196784,0.5407209867559475,0.4426113703215348,0.39897888511951296,0.43531651984690883,0.440515931609943,0.43023175826963894,0.4455966962964932,0.46027623005408996,0.5216571806977559,0.5398361673144572,0.47263995352453503,0.4291334007125024,0.4079894575282353,0.4085302957839354,0.3731786277177077,0.3980117024164951,0.5170840343510192,0.47371566591564584,0.4833159068432964,0.5455956488327302,0.5040924293413563,0.5631856777341928,0.5071271277862929,0.6461780213517812,0.5357353489996156,0.5062484904718777,0.7051833814145014,0.496354409833547,0.48115061580847385,0.46891738039283093,0.5595940057005604,0.5533476129070863,0.5383803566699839,0.47022956746873495,0.46696408172653464,0.5102978974205381,0.453327951703577,0.5091429912672383,0.48090280776897354,0.4827043026239813,0.5786710940745102,0.6191854681639838,1.2061299846538136,1.6568329821197831,1.1822364335937583,0.7862758872097098,0.639414258279776,0.6326029932702345,0.5742285195999491,0.5950208776399862,0.4919192612899567,0.5020569684842029,0.45056721669919747,0.48536502678675664,0.5569678522263969,0.5637740216656252,0.5253187745621759,0.611642081270674,0.7028510606192164,0.6865809665661436,0.5457305416801457,0.4913425227908735,0.47911130711688715,0.5088102484303196,0.5277928575032651,0.6022468436777993,0.5864698404826988,0.8937992320153507,0.6211195604345506,0.6884793848779127,0.6627332767015899,0.5519534201112587,0.557522804041834,0.5352150742610785,0.5357931293167117,0.5605395818597018,0.5849658758792037,0.815604390366886,1.0361445049833653,0.6611111467892287,0.8724912744506214,0.7768108500828794,0.6784911038722354,0.7217497968642935,0.5450354333864815,0.5453201882401278,0.5531259725463927,0.5497611422782739,0.5525715901948646,0.5838579092055706,0.6086393904693003,0.6708981651843978,0.5883770800198863,0.5663495661757929,0.6304407231341663,0.604467985200225,0.5982392791586091,0.6072291377184341,0.6937370970221265,0.6431280137022565,0.707964652483905,0.7632769406743938,0.7594518693454256,0.8711548234309222,0.8848363168018895,0.815714635212403,1.0083466159447594,0.8016740954546849,0.73337625361758,0.7999771079692956,0.8583812537261503,2.2252042343471437,1.112589646471341,1.639466319792812,0.8082228655975265,0.8390389805547789,0.8662996564381256,0.9609011032319603,0.7850251543830513,0.6746945994050846,0.7899727841738614,0.774953986902331,0.8656714367882505,0.6803327815935382,0.9566631129078625,0.683396002222653,0.7565045398271755,1.0195348927427768,0.681382519655288,0.6762357882189526,0.7819506365089038,0.8350559498206195,0.9910916492453441,1.0598090868031198,1.0368294740522055,0.9104480423734661,0.8777020207450617,1.1226439735457432,0.9383983588551961,0.8084149567172106,0.973561308132739,0.997662675314032,0.7763754160484687,0.8768006791776809,1.0307831892914887,0.8986992096045325,0.8745529392031054,0.9468288006927785,0.8643185671110106,0.846097626218162,0.7948302736643649,0.7899807459423399,0.8181151136271937,0.704406630197059,0.7534949599467887,0.7101903556119089,0.7264579204625893,0.6247713436912792,0.6778561874471066,0.7714512073487829,0.7273635955208501,0.6487081916763398,0.7409069617108751,0.9092539374424993,0.7727564509476265,0.7509630955699723,0.8043383304992268,1.0407512825842073,0.9861886090046074,0.8376429226318852,0.715317046833263,0.7056279469380478,0.9553028540131662,0.8249682111715405,0.8062878971313281,0.7155320271169789,0.6652480587048234,0.5682734919854694,0.5595492987610919,0.6306481579965378,0.608420928161854,0.572119249594577,0.7475924556006659,1.5449881633064957,0.5435760173894043,0.6550274185943594,0.8644151991692628,0.8028410300424247,0.6079192002168408,0.8521990646046272,1.3036165080666302,3.3630576637897462,5.094747034948486,5.751868512213947],[0.5295885517052782,0.3902539407937577,0.46554079475745375,0.47405301719094356,0.4091292425330462,0.3790073616780419,0.3209376391995793,0.4404583243730237,0.36650680673400043,0.34492091386358403,0.41590834604749394,0.527029074763364,0.41914338094527165,0.40693289227766,0.593810854765124,0.5334244465699041,0.47787330497476804,0.5263755677667483,0.5589114569841782,0.5370694525364937,0.6502428069376254,0.6178382704298288,0.6696304997650498,0.8047360057708395,0.6459354203875683,0.5804166063483138,0.48415401698570876,0.4536683422027479,0.49873683155621845,0.5185815497879374,0.5850508515063464,0.5745857610215807,0.679697925429968,0.665202133785843,0.589649934354047,0.5474744703055981,0.5586107128188011,0.5418380446858573,0.5244213245512427,0.5771162636624719,0.8299737987140071,0.5556597410931313,0.6036485021079034,0.6021150509018124,0.8486234298176886,1.5543232525080544,1.4427055031883842,1.0317222109904558,1.291735385640403,1.3856893419221485,1.0427801301161184,0.8870710665829848,0.7393261919608848,0.6250538030783664,1.5043221526380925,0.8735884995987232,0.7411405486833738,0.8767851107659866,1.044021506416046,0.8595020278243081,0.7522979508096795,0.8001548562201508,0.7133387994869772,0.8561806766358844,0.6614789741793842,0.6625824383472203,0.8577540089630167,0.6694394206962895,0.7386159991549259,0.7094218121869498,0.9553057078659255,1.3201113436866478,0.9208028119484302,0.928236196569691,0.7392560787088069,1.1264116600073641,0.659268183670239,0.7004043361363178,0.6421790256170354,0.6559110484550469,0.7042167308877407,0.7506742521020051,1.1031648909915555,0.7088091819314555,0.5610743430460882,0.5728984099716656,0.5900262516250795,0.6719158715602804,0.5657602934506877,0.7228088355870241,0.6628472630819262,0.8161062397213108,0.7274874930746441,0.6649760122557887,0.6221455326686517,0.7147151422682541,0.6813804942713213,0.625693673363091,0.6246524096367814,0.8841532546230623,0.6453892974210682,0.7668183608488403,0.5722053586341476,0.634077868859392,0.6321511633891853,0.5835311057514421,0.8864283616520257,0.5000291368290086,0.5412299715822466,0.8118590491578752,0.4850378278529369,0.4022864982359965,0.3630024798113017,0.4237786184698929,0.4210864349801026,0.39444267012732187,0.43393730844197104,0.4513829087918904,0.529945938979826,0.5355915392663314,0.4839555448148525,0.4496850138277757,0.42396247135650944,0.40083962211529595,0.372070119771962,0.37863403636052856,0.45462802128330915,0.44698600066184163,0.43303820628429956,0.4796270685287346,0.442701636049259,0.5001512569200209,0.44017272400317303,0.5547787559842018,0.48397732311658187,0.4802489114632508,0.66759200239458,0.4768823834770043,0.4816594119551961,0.45819037399943957,0.5689653730230606,0.5761769431370674,0.5255085558605974,0.449978422227025,0.40989331372041504,0.4666806109088399,0.4166027179832949,0.47321169742928304,0.45094638810179594,0.46678059076757505,0.5408291877101368,0.5886770042645828,1.2099317110254442,1.6495722192864124,1.195584541861143,0.7396778248639633,0.5755545385553178,0.5778379475145728,0.5157554571614633,0.5548155055658877,0.4642169654113517,0.4521892285374073,0.41843891141571476,0.4300760349783409,0.4868448923884062,0.6033936635536908,0.5153757808523857,0.6346715492978633,0.7138681045522306,0.7026469602654785,0.5244409344433976,0.46110305337858637,0.43405176596690426,0.45547815785252616,0.46886753735360287,0.5455036253408694,0.5384358515909385,0.865461626408195,0.5616682854958343,0.6331169732644188,0.6611701170514813,0.48590625170789026,0.48465604006612467,0.4637415180873214,0.47537724600377784,0.5004743277704408,0.5639889019903046,0.7122569804775073,1.0966878191580909,0.6827854312520547,0.9075286698709216,0.7916607577504232,0.6720512446905325,0.7205484926016558,0.47595265909484175,0.4794026926718681,0.5151476802543856,0.46903314782821853,0.48299860383892546,0.5300209414681571,0.5395320252935355,0.6126941560015362,0.5195377401589178,0.5096256028695777,0.5934338190787085,0.5629352892873568,0.5566995940762576,0.577788145340528,0.6669469740660999,0.5956709425519111,0.6643043812292512,0.7140736519368152,0.6913027027300521,0.8037459047781901,0.8298285805629719,0.7891159342412709,0.9843326515763144,0.7825637091672186,0.6959484823527291,0.7740443369550615,0.8544234109898079,2.1191180697328647,1.1541164549457164,1.6042496167776643,0.772611298904023,0.8042689490830136,0.8478017551457654,0.9237611413113578,0.7635009433137588,0.6395767835423571,0.7542614518060891,0.7191213126155975,0.8367549951786214,0.6347703061293497,0.9113878180767963,0.6589290801544486,0.7254022562340626,0.9992242033739587,0.6319287587315638,0.6182067032255099,0.7258546980452554,0.795714703599297,0.9585281107965121,1.0326660412625146,1.0314919275373218,0.88629317523252,0.8598694897810523,1.1170406530630812,0.9277072313539585,0.7847129209106942,0.9599155895744304,1.0067100750571985,0.7730002471865529,0.8670419907536456,1.018998931290553,0.8938812977443445,0.8349139970922531,0.9072593879930859,0.8225941702042431,0.8134786697880244,0.7716388474104516,0.76423134101614,0.7925665512151121,0.676490462513573,0.7226403506080531,0.6782036510721108,0.6957296141200092,0.587490577844504,0.6461255704123902,0.759997252739196,0.6997866580769017,0.6346344493400107,0.7315811015709612,0.9457167005241304,0.7783385927551606,0.7470299653149574,0.8343589692491384,1.0464214705570138,1.0134547457108245,0.8481094726943574,0.7037993756311126,0.6727340761921556,0.9471565158843194,0.8195777940192405,0.8184703228169179,0.7112517371244186,0.6454905981704785,0.5209305301076732,0.480319041713399,0.5575618128321088,0.5325475918498411,0.5346671498017084,0.7503287789595696,1.5663381894380577,0.5042609840548471,0.6072020943128978,0.8245545616002672,0.8549414279234123,0.5431077377966512,0.7899632795693265,1.067705439394196,3.0474122548374996,4.534955648504448,5.042307376491355],[0.5847439380759157,0.4862012697250608,0.5775487922793932,0.5152901223797801,0.5103728197306803,0.4765116272823552,0.40853727725545336,0.5304311352059261,0.4473074068927587,0.4182319015676721,0.5028892004538376,0.6400385637665272,0.5187024772015146,0.4779493524919762,0.6926146414461594,0.6464933439271336,0.5588179500972507,0.6123209934909989,0.598375683105341,0.6145627364806244,0.7300616993089002,0.696920691607531,0.6921130596910317,0.8301930817259026,0.622957973507859,0.5787261349141316,0.5572081664260691,0.5190425750269563,0.5923905136061535,0.6402719757642726,0.7204111078876146,0.7248396228015769,0.827479591412106,0.8176046287714549,0.7520842559153686,0.6869004338396154,0.7014922589868557,0.6547369409515378,0.6360632675905056,0.7058071768928885,0.9688396563942888,0.6179451924743028,0.7171321708454456,0.660649256282242,0.8806315789441581,1.565080468324569,1.4265566121355637,1.1168721519108713,1.3675446315549538,1.337866711150666,0.9737940554253225,0.9308677602367466,0.7697301307099135,0.6949236294699566,1.5781629297258086,1.046862136871252,0.8860412324240918,1.0018521065078942,1.1691527324271744,0.9708588824265453,0.8291216287456942,0.887240947472322,0.8104806560511807,0.8755288530173154,0.7251714748282327,0.756506906005431,0.9382318072844075,0.7485154771071119,0.7984184340596028,0.7763798446248508,1.0168192024603577,1.3914213675075582,0.9990208027443578,0.991491434795649,0.8365764830926855,1.2161414947946518,0.7635330464007801,0.8469712833042694,0.7899321825694222,0.7937505387688123,0.8436540086360859,0.8888089358968259,1.2757483282372664,0.9141868515610437,0.6528982298916983,0.7167084377391375,0.7158209268643936,0.798518389255186,0.7093738781469761,0.8634437204698953,0.7987073373715096,0.9472331771327074,0.8807849665728287,0.8360200818904593,0.7706620603246935,0.8699552589224401,0.81007999275345,0.7707562190922924,0.7658678524551189,0.9608555483090397,0.7962548120793144,0.8784097402005578,0.7342454250780714,0.7719634884953284,0.7778368113745329,0.7179437779474209,1.035314441757774,0.6416560469266647,0.6693412576626874,0.920679930894192,0.6071294518898873,0.5358920910558151,0.4740951679611498,0.5131183499706089,0.4892086398004461,0.4241933152694064,0.4900084165046484,0.4661545121851649,0.5631155772401301,0.5849393469420754,0.5158995054965708,0.48511954113245287,0.4216248325629187,0.4165426439428774,0.4010120868755015,0.42477107676630615,0.4770298566911569,0.5153010673507231,0.5272578585316537,0.5868652461268234,0.5537195855205224,0.6220445123706861,0.551271387893943,0.6707282423018884,0.5611017121576237,0.5531083218612088,0.7415482667964242,0.5424652605465874,0.5367612707184958,0.5100301819986934,0.5735104290208306,0.5619908148288659,0.5447887625288683,0.49531291094226604,0.47926466696122677,0.5487118136559779,0.49712037213649696,0.562596514266775,0.5663721264712253,0.5658123977530565,0.6433207143236955,0.6943926352486443,1.3948653090114433,1.5855248786673029,1.0851088969147082,0.885551190549938,0.7410948750416291,0.721412930113113,0.6634422167857855,0.7081679919070488,0.5605473049493737,0.5821717494344828,0.5089186317741773,0.5316766432422975,0.5116322765965212,0.6682407751302907,0.5906516849062857,0.7029748400551743,0.7870336931329505,0.774144537762454,0.6018597095135778,0.534543295581289,0.5076992156898282,0.5677513761316962,0.6153574060301825,0.7073938400615774,0.6827339887783991,1.0535614270881548,0.7304032592300663,0.8081700950665658,0.825402932545934,0.6127328331785834,0.6070302424247193,0.5886255482041609,0.591998129719056,0.5937969630276253,0.6623823235981439,0.6861838461920658,1.1021472308727596,0.6725182846252707,0.9140492674166888,0.8061097903915371,0.7218318393216434,0.8239341677910094,0.5553257319135022,0.6104255229229714,0.6216145437681847,0.6048798399320667,0.6072278949307557,0.6676955266013976,0.7069488818388423,0.7806964813493482,0.6745235925570653,0.6550140799799143,0.7586407969591121,0.7183716233613427,0.658481377563948,0.7099277318206002,0.8192522837746851,0.7191113985688229,0.77625817125534,0.8478558327474504,0.8150282694442825,0.9030348222313095,0.9488818195997609,0.8855321127346423,1.0993918044750446,0.8956796732012371,0.832487137968098,0.9219850797607921,1.0006785326469898,2.1905175692448298,1.279839638238499,1.7204673790374019,0.9460899221520399,0.9846599042575849,1.0169090865819659,1.0979342425585505,0.9345950453706662,0.824574427916067,0.9283031654733347,0.8805377504752611,0.9750675961788136,0.8023179764408289,1.0439185156454425,0.7853132040606076,0.8451202844670648,0.9858839470246747,0.7415435661690601,0.7615891844458621,0.8764281609987649,0.9555935998200722,1.1146850310734904,1.202206786117557,1.2022723388731176,1.051907735007134,1.0316555993062184,1.2820673768417798,1.0822883229997537,0.93933850758231,1.1059921545442397,1.1326784325271275,0.9054283568098604,1.021057727207247,1.1536765953516712,1.0224271637889832,0.9780820617824824,1.0631672017488931,0.9881395307110417,0.9922537603687334,0.9582409084680295,0.9524784266069733,0.9647447343125093,0.8423809623400778,0.9064276677107788,0.8535598046493617,0.8602161075118565,0.7478104367200075,0.8100356160011405,0.8949467595412751,0.8135600713576736,0.7661300250211583,0.8603939910649824,1.0371406468430768,0.8645658366488055,0.8243204575605624,0.9172053047799402,1.0648042327528129,1.0917292654102146,0.9232345834062747,0.7928832871992239,0.7695655607883426,1.005846506614119,0.8734061985582757,0.8654845879945852,0.774978126585875,0.7267176386401539,0.6134059747169948,0.595875086005573,0.6169241901177007,0.6457379415943826,0.6931842512773777,0.9171270909403882,1.5596257565593425,0.6411666088233081,0.731838861250068,0.9179132913595378,0.9593994712651562,0.6323565365017572,0.8764557316351079,1.13174459261874,2.9732637607747394,4.5894413663345155,5.273456734462457],[0.6900936475910048,0.7056252544821102,0.7545821297426324,0.7099886449623681,0.7152639518546521,0.6661099491393332,0.5774931930763949,0.665006723605818,0.5672052239602461,0.5038861719906569,0.5492771810824316,0.668654506121733,0.5675653861296571,0.5172066104569595,0.6830642713545306,0.6465786807342963,0.582968880750736,0.6168942152900326,0.6109305366102035,0.629459777898988,0.7417105875948331,0.7061524028089547,0.7053826904561105,0.8369148915836373,0.6395011173083216,0.5918776704070638,0.5877718414280374,0.5533811103791337,0.600701974120041,0.6524463413818347,0.696886360812518,0.7230251564122224,0.8301912559105575,0.800408559609533,0.7435343397087163,0.6813550027265096,0.7137042117239286,0.666313522531598,0.6643572432979701,0.7407493757664643,1.0001969286909975,0.6304772622680618,0.7155062452250284,0.6600106763286524,0.8988987671532173,1.5912339880560493,1.4852224852339975,1.0921484443851097,1.3453110007509184,1.381760212932367,0.9904097895415387,0.9584325966833751,0.8022992224500727,0.7305477681120212,1.619106440035334,1.0347614386750903,0.8835153978772664,0.9909740721398934,1.1491110340448552,0.9664736156148179,0.8267814305268163,0.8482635727947655,0.7742498631375674,0.8911039156425936,0.724651992338723,0.7490468037650015,0.952419961136205,0.7570900462269484,0.7992465708441214,0.7731058676128183,0.9980848442278029,1.3365269733463045,0.9779587317717021,1.006866903288338,0.804527314169683,1.1860327070150152,0.7350284689327828,0.8084904289144488,0.7606042917231534,0.7952944444583956,0.8418613477152351,0.8876584036425081,1.2852336045503463,0.9396689312401951,0.7080040776635037,0.7485129039018732,0.7212987550563716,0.8016824372641131,0.7009362949925045,0.8332497163063796,0.776683292023996,0.9196341000780487,0.841527718573857,0.795101809222135,0.7376905770688101,0.8235773166730179,0.7818647804997307,0.7625440729876928,0.7807458026859133,0.9896142752011362,0.8197250615906159,0.939250188762241,0.7864613886234338,0.8507191427948599,0.8669650636374973,0.8227992558520884,1.1240116018560187,0.7678635547000332,0.8014389078651015,1.024118417736625,0.7384491148919584,0.678867798316363,0.6116760296630618,0.6341861367867894,0.5678249640061659,0.527567137181884,0.5617769938646867,0.5321903727198599,0.5960486286143328,0.6211025116596145,0.5702330162480607,0.5469905535918494,0.5273802713855601,0.5214622189577168,0.54120193829036,0.5715485016004133,0.6317415372507291,0.6431812140826348,0.6616010682869526,0.713123853265071,0.6974196518833397,0.7480992409402151,0.6859095541361864,0.7954494877094488,0.6866775290527035,0.6900512262842978,0.8763036809242231,0.6688800909376583,0.6394502009159935,0.6070572065607591,0.654179582183591,0.637690746910889,0.6000394745528829,0.5654544113718148,0.5485380909642781,0.5984231237759517,0.564285789454588,0.6224841499145362,0.6601070213881178,0.6566766149460852,0.7537534427514437,0.7965346892670847,1.4818369570060361,1.6278697510965008,1.134681690233113,0.9531851505692037,0.7953875827222724,0.8061989927917342,0.7236947726484604,0.7867557339174415,0.6578325923959957,0.6519818884454414,0.5963658837207267,0.6039298530542477,0.603241673912401,0.7778985504712751,0.7257353582029885,0.857189079916485,0.9509577858259405,0.9248574568328857,0.7399330928230462,0.6501259468799381,0.6129247161219076,0.6569325250753746,0.6956007820658455,0.7811083269354558,0.7401239901087703,1.081561322608092,0.7921687968894495,0.8786495970279291,0.8998102929387243,0.7124612296437163,0.7029210237104004,0.6951709265570055,0.6941708063666843,0.6531795743633325,0.7277149830664776,0.6911801459220155,1.1678710870307163,0.7729718564210013,1.0007245362173824,0.9330798700307733,0.8709214636915791,0.9852016012863167,0.7180076510542365,0.7722735038889493,0.768608380515713,0.758592654538654,0.7594341206463016,0.8048413894371133,0.8628140174732193,0.9269536116032071,0.8234350395027473,0.8183145456940715,0.9153155446252855,0.8822474895904427,0.8136280220515838,0.8662684916682528,0.9718023778504681,0.8656229929042265,0.9159194578749636,0.9775160749831879,0.9445981575201556,1.0018708906043388,1.0682886756940664,1.0201377493840948,1.2536190981817632,1.051804686963873,0.981903407736597,1.0731879099851596,1.1412013125382152,2.0663467859122417,1.4716768598094914,1.926982634014527,1.1081653304703798,1.1122292757899717,1.137180407530577,1.1847998143245135,1.0484026575156713,1.0031955668538473,1.0829335876666393,1.0326534105117517,1.1480790172271862,0.9709956654324265,1.157343555806907,0.9782984555981327,0.9474709924163857,1.0346899350837564,0.8569003383507026,0.8881603680913323,0.994352291176918,1.0818326429932326,1.224396315655346,1.3017441763406319,1.312682709301467,1.1574120771253489,1.1417680481497223,1.4114966808906326,1.1967703600987496,1.0660603954577974,1.2286991190412004,1.2562100992451952,1.0552660175959,1.1553933804055974,1.275765452491977,1.1561508331588444,1.1019468531192806,1.193094174562477,1.1279064911641399,1.1294961291170988,1.1016369766742071,1.0930849439375274,1.0915509027040384,0.9903470301524423,1.0834246084681671,1.0087424214169964,1.0089397760126766,0.9245588103578709,0.9862233554458634,1.0603576208528251,0.9789785220914675,0.920346983490775,1.024709078297095,1.170704495333393,1.0427432214770922,0.9787597820618895,1.0965608362832955,1.115881024463241,1.256633396183574,1.0260110061431402,0.9223573964351935,0.8931243610897018,1.0503291278838827,0.9483622320699845,0.9523546647763794,0.9021089339645498,0.8382314316662833,0.760459681050381,0.7340194058325646,0.7520062133173709,0.7889805298274336,0.8511833024987995,1.0629940771363258,1.5965573212765374,0.7939620636158878,0.8921395514545679,1.0278462811146893,1.0644329217352686,0.8128513321057564,0.9920542263029438,1.0939463367056412,2.7674701948612346,4.247376193737931,4.946129573806043],[0.7793729783891427,0.6845823331099462,0.7725760686037221,0.6308912329206681,0.6584309765154933,0.6535179761356085,0.5764193039550048,0.6812457630356957,0.5382681648292941,0.4894154318243959,0.5484471992160701,0.6847558872908853,0.5855382792939411,0.5099175103381449,0.6996389243928135,0.6713670266276005,0.6040371006006869,0.6376789374090056,0.6204041590538798,0.6396086574427211,0.729124671563114,0.7019502484146333,0.692277679013607,0.8096717327954104,0.6951242386372565,0.6323309420740383,0.5998816134472342,0.5727681510859345,0.634003776722222,0.7023163900206443,0.7311395501542141,0.7866725719874692,0.8988575078988184,0.8786657615689126,0.8117856037502936,0.7301828606438315,0.7607552477727475,0.7164004225528074,0.691249764619253,0.7679745313661919,0.971861971601775,0.6654616118530755,0.7687509569130548,0.6861161704769937,0.8913052390548261,1.5815830160768063,1.443779755473004,1.0980523347555047,1.3733802238632395,1.4037587216396468,1.1039435851612163,0.9344214289113177,0.9063631469704013,0.7819828841071118,1.677351498138137,1.1104277360131871,0.9239506612796432,1.045064323199117,1.2508030905363097,1.0245665375482955,0.8846228952952668,0.9084718280835616,0.8448527752228114,0.9614499307866698,0.7472951650255414,0.7657375246739293,0.9499627115947362,0.7787971842194794,0.7901699407101506,0.7671158402712148,1.034923033722771,1.3652949185966214,0.9699001299693963,0.9466089245052289,0.8225783717692081,1.2095472883912635,0.7988371686567466,0.8733728151320321,0.8255548302457246,0.8540215517094507,0.9025465802017325,0.9021902165335484,1.2738196405736144,0.9860213250258785,0.7963899273141601,0.8001395989295327,0.7649836709135468,0.8150575883928589,0.7478867624576184,0.9081547877780511,0.8425750879210726,0.9345267276714194,0.8872581477187611,0.8704570566909567,0.7922256815230467,0.8974137123520035,0.8383228110022534,0.8237220546181225,0.8380929297236731,1.0833559906248813,0.901196122332617,1.0284206141537855,0.8851305240534322,0.9175052033570017,0.9257897504973918,0.8922725404046163,1.2252880106184318,0.8926477914839802,0.9069581331369061,1.0948912961016721,0.8280386878435047,0.6954640682783805,0.6269618275555923,0.6169761074004065,0.562478085442749,0.4899869132741567,0.5261049142299915,0.5158196893101068,0.5677879454243648,0.6032347813677587,0.5379974215064369,0.5058210921683437,0.483936496239259,0.507106072678509,0.5126211179660373,0.5500221151225217,0.6831166701538307,0.7097896517582521,0.7631543558734849,0.7984085421030179,0.7888555236830291,0.8799980436849447,0.7792851822317364,0.8825485660126963,0.7474540188452553,0.7026453122383067,0.8684725796392482,0.6668565910796052,0.6274929658565311,0.6052581258346778,0.6482183320806407,0.6366137387160546,0.5908798093783726,0.5578064488454445,0.5690592288052024,0.6148143468839145,0.5769311436399468,0.6579858801987359,0.6781475693481464,0.6669809261598912,0.7943215755940544,0.7988010635619793,1.417810215520007,1.4777118673656267,1.1744573797946207,1.0189352544723278,0.8340283345491682,0.8468473620269911,0.7652716018244011,0.8064905694773883,0.7018210762167617,0.678848113297035,0.6126368953385165,0.6531536457063415,0.6920766808440971,0.7218426848111472,0.7145101492662083,0.8038465777062365,0.8916899385041359,0.871102272542839,0.7153153471647034,0.6536454686062588,0.69547130672443,0.7443949895259291,0.7426109998838178,0.8080808622239609,0.7544367851928854,1.0199248395123652,0.800008660449626,0.9075035136368469,0.8814507977289838,0.7959583364538839,0.796565106662994,0.7967489151359194,0.7962253925633764,0.7622637631557105,0.7121076756332545,0.8889213715612042,1.099188581669031,0.7648729487890579,0.9988997310544224,0.8739869276362208,0.8126666241127386,0.8467234208703085,0.7489701489420134,0.8372977938030259,0.8489417807066474,0.8720225531552822,0.8901246682026815,0.9163823148212605,0.9937372741603996,1.0580776605281974,0.9397381172214817,0.9262043536603781,1.0167910389143613,0.9700903731018403,0.8973606477950733,0.95069840840314,1.0493570832033676,0.9296018658432904,0.966783866434059,1.0364647495688917,0.9948762336565306,1.058715318844364,1.1180010159278215,1.0569549861946608,1.2274718983671962,1.064612858135124,1.03546447886938,1.1265044906746242,1.2170326100030073,2.3465618549630514,1.4506083830734162,1.7282562139567113,1.1680672566410837,1.242971694670052,1.2692180858423585,1.329190220671964,1.2251829824757352,1.0795485748258105,1.1627584430033995,1.122522366085605,1.181517823691361,1.0382149206212083,1.2338295626942761,1.0512177275289605,1.0866227784840845,1.19792644470903,1.0346587390559898,1.0237240098433587,1.1008872345718035,1.1689677625766461,1.3258367365775388,1.4192166179614722,1.4324079243044416,1.297806736166769,1.2839377287609113,1.5197996390301232,1.3349503011308943,1.1629341891583151,1.3197269900038453,1.3344610728732773,1.1196964209350042,1.236132763529453,1.339349167219171,1.2075334547955547,1.1671660833155655,1.2688316599001692,1.2005077065717753,1.2234142024435761,1.2009431568321507,1.1924145391246639,1.1967324187375916,1.0851155960927177,1.1451996883781803,1.1035184867787762,1.0932080314253072,1.0039823787693019,1.0677456823288436,1.1213592365521439,1.017292375649761,0.9944183694278295,1.1023119542375264,1.2086250875814304,1.0169990134130011,0.986312885156772,1.0990632089865924,1.1584981859448953,1.232496446170743,1.0670143952562845,0.9717526563314222,0.9725131711275573,1.1714510354938428,1.0517182446264017,1.044265214583849,0.9545919114094592,0.9722114952417067,0.836420706188878,0.8554738314432005,0.8435729879386518,0.8688832820938516,0.9073433779455248,1.0406299490050226,1.6008377699206529,0.87174498899736,0.8967247178499466,1.0210494740095513,1.152012925660781,0.8028357648209921,1.007393168164344,1.1358913515518279,2.52519437846975,4.095772990099907,4.996065749194423],[0.8590878357915226,0.7571497942462826,0.786586459042607,0.704302219768269,0.7342755437433882,0.6675781588170484,0.6210517562043852,0.7789729931870322,0.5967286102804138,0.5370637211755251,0.6086776389241907,0.7987609958473735,0.6647390641566607,0.5459921656206416,0.7547036163522954,0.7679141470929952,0.6680286112148582,0.6854325472786738,0.6372887891103164,0.6866370770935184,0.74808952817747,0.76624870303866,0.7120266675534745,0.8241586190544828,0.7438852145032615,0.6564085877890383,0.6278753395956499,0.6186897843136148,0.7162944148433117,0.802729777469923,0.8314666393150891,0.9297670309715393,1.046180534501452,1.0138439490595377,0.9522965793464822,0.8400146861764275,0.9221194984843691,0.8130231297489817,0.8133878255659448,0.9415696676617659,1.0723987638259753,0.7251201845640576,0.8298388797256464,0.7775654277144018,0.9283186016820862,1.599608477297067,1.452087279957494,1.2220030949254739,1.4082879591549362,1.4026853632343435,1.1032895774791012,1.0385585754413114,0.9539770705909204,0.8915992159423036,1.710546317173159,1.2317661913518043,0.9926080109954223,1.1516938205006952,1.3220781197793594,1.075081045881708,0.9209608610585415,0.9528350340556345,0.91013351355582,0.9432622277949424,0.7819254113262039,0.8204623783978948,0.9243351004982668,0.7777531089418194,0.78861265508447,0.7986742394071801,1.024014565757418,1.3371147584526681,0.9920323599821571,0.9805615798924623,0.8826469653103562,1.2493379175270212,0.8543161406283241,0.9974902934948136,0.9522561008784006,0.9601836237575305,1.0741726972533192,1.0672460251983151,1.5242142610523648,1.1957247788721868,0.8681403740071572,0.9473836328158307,0.9084535727613878,1.0410987611864662,0.8593741967486213,1.0518831950436904,0.926793216824302,1.0597471342191553,1.0024798759590616,1.001713325167076,0.8981282833996724,0.9905697098666832,0.873278667072235,0.9754966407702331,0.9808085838220341,1.1750066211940118,1.0763101738382856,1.2314728920214575,1.0745545833950336,1.1420599863758687,1.1373073980837913,1.0744803906894753,1.4235233425362117,0.9984256613104731,0.9682863151579442,1.1822946054463008,0.9121087729369555,0.8241117017735526,0.711837465161033,0.687084051402704,0.6092198758720614,0.5463753497099302,0.5814763076472431,0.5961176587815251,0.5920074046036455,0.6267622702959215,0.5580932696198331,0.539403139137445,0.5772552917475003,0.5661055056001574,0.5680665449629708,0.6136976583587117,0.6775248288508788,0.761838404880017,0.816618389667755,0.8931610027636647,0.8328563533527319,0.9468552081790724,0.8484397428071148,0.9620985602813543,0.805647059289407,0.7586969915272391,0.9120096276793797,0.7326679542264944,0.709248857480833,0.68096899752094,0.7496764020815324,0.7194150218216132,0.6610158612601139,0.6280254851708649,0.6422081453408371,0.6919764449687426,0.6467184051266305,0.7338108968688362,0.7844641934269064,0.7713357505801348,0.9450552198526474,0.9647383908802887,1.7012972295988058,1.668815391605442,1.2094689561775256,1.2106904459185,1.0142219881711736,1.055652646485762,0.9338215252979437,0.9902514306801227,0.7652355569686553,0.7752447064136357,0.6652004400855935,0.7208343504756213,0.6786531718920594,0.8137265474127139,0.7803507582852303,0.8738355903435523,0.959577948129513,0.9257449393034389,0.7981498882309999,0.7237646667258083,0.7177748888665965,0.8021595604036412,0.8537965446521053,1.0222716905545226,0.9588260156407706,1.4069874259396924,1.009598553483956,1.1306884965765416,1.1118959684077607,0.9167963007400045,0.9056001166046348,0.87090748477002,0.8432441482480688,0.8140505189503111,0.8311296778785819,0.8106660697318699,1.1303566001277539,0.7952392781995196,1.0067877914517143,0.8602427414411422,0.8698952885547203,0.9669264422421758,0.8214807469752456,0.888412122068561,0.8729925684001104,0.9064607449065201,0.8853101395220697,0.95448440043925,0.9804661290054505,1.0604258535911384,0.9525681187452709,0.9107657611382973,0.997045264839204,0.9642299982414445,0.879999807789603,0.9269055639348001,1.047408335999733,0.909733788846719,0.9564133757393338,1.0233747014203947,0.9747408574757368,1.0486819192841166,1.1256906279682797,1.0692934593378491,1.2752060705340078,1.1069517347965552,1.0377270752468186,1.1161758770901269,1.2221643325815137,2.077042484622732,1.5947971449718175,2.0255609309525715,1.220901463105508,1.2549409275194185,1.2804912458779634,1.3119316005569799,1.1747387505577178,1.0737478294357357,1.1506062689890986,1.0911258885169517,1.1423060364110673,1.010438245059332,1.2187125724862378,1.0747561858252754,1.1166045448258213,1.1897481576934295,1.0290465401557465,1.0411672295150636,1.1062578577443989,1.1798434920675167,1.3683434041964242,1.4644477626419445,1.4818918450909468,1.2916132566209577,1.29862646073204,1.573759848492064,1.3604888988237969,1.183534943092497,1.3763660289809971,1.3924904292867273,1.1465040362217942,1.2670925578686598,1.3888212413685057,1.2325921974113119,1.1713110086257974,1.277628912053293,1.2211630873697328,1.2418533506864053,1.2216418277654293,1.216231539358744,1.1841833726756643,1.0660086138981681,1.1431453298521304,1.0806358977407169,1.07169897256862,0.9995529986929939,1.0585231004834728,1.1139709033070075,1.029007721921764,1.0110216210000251,1.0863162804020567,1.2750188451703555,1.077060554593786,1.0528974400914868,1.1887897696052285,1.2582258904819954,1.3235858203866402,1.1603392011826592,1.0149615076879424,1.0031998714663364,1.2443585228768366,1.1109764219735858,1.1075269407013173,1.008242571439859,0.9860296600762356,0.8690566193527556,0.8538566388856105,0.8453441688086806,0.882292284532082,0.9892671696630925,1.1940630539993695,1.6875214531993719,0.913005960645044,0.9361505588450992,1.0919258184183336,1.2312710416224577,0.8024172697753258,0.9867158928435518,1.04865179118584,2.4452192849958916,3.9536948521461572,4.904876932947954],[0.8971934598083711,0.7721979771869136,0.8218433007557167,0.7066473164140433,0.7338224076283915,0.6948970160543699,0.6474105163298963,0.7302515049863835,0.5797248481145025,0.5188571334892869,0.5310505206818835,0.646221742496014,0.5586182215598772,0.4910887090163211,0.6261221112835786,0.6051187668743642,0.5892833954750772,0.5811207332760734,0.5988510066974592,0.591754114154017,0.6341713832932419,0.645116109459293,0.7068559465569766,0.7647419405249304,0.767758003575697,0.6409109392699947,0.5730723932745583,0.5702483441721657,0.6050037326868581,0.6365359690967182,0.6339628827786474,0.7031593168492997,0.7658921255544641,0.7419560303743216,0.6965352114066931,0.63848344179721,0.6808569119403235,0.6653099949745092,0.648695101382538,0.7213809222743857,0.841095554772502,0.6499152979875502,0.6854704203866219,0.6907142049933371,0.8838315767732247,1.5930775655398173,1.447809655035758,1.0296095575763629,1.3130689462180773,1.4869995258878914,1.1989810987575402,0.9563308937353033,0.9433930330743576,0.7544654262380114,1.5874098555219842,0.956230070510934,0.7657767156599312,0.9562118921919567,1.1616009636777271,0.884472033632705,0.8099357672352033,0.8409405650465536,0.7597241510158996,0.9358062563185554,0.7054718107465974,0.7120966567560292,0.8029381714628165,0.6964594236151935,0.7433396390204736,0.7259631613631444,0.9655427184609993,1.3056506505999617,0.9188073719579591,0.9124471146832955,0.7293065931806021,1.1254429296560358,0.6887781764688964,0.7271038515380717,0.7101306016796184,0.7467178715076379,0.8230548364064293,0.7975716163858719,1.1720788769079202,0.8421252139373786,0.7794127933235916,0.7290249035959439,0.7088849071338245,0.726268070360742,0.6538957136191464,0.7865724339424741,0.7165099437680444,0.8476952235773848,0.757625018842875,0.7319620265737075,0.6717110517426194,0.7784960933250044,0.7095769062530132,0.7180635831677147,0.7394352671801651,0.9664226978367613,0.7908260734566877,0.9537557247239152,0.7930059857488596,0.8769692474914392,0.9029427217123084,0.8894522994095027,1.2354499174421487,0.9304222452427857,0.956183433388955,1.0682724932215808,0.8811565171319576,0.7498581089619997,0.6810571192269256,0.6686300424782774,0.6099091331021346,0.5752022219180863,0.5422440840816564,0.5947376992548583,0.5704370356136226,0.574766193036575,0.5390373831250843,0.5054945053484474,0.5785867260422773,0.5943927357242265,0.6027719114859924,0.6615798999978217,0.7846415665347805,0.8206580562915705,0.8654711816776101,0.8512113504227579,0.8609884998726521,0.9377638793269792,0.8598501817600568,0.9119569101796954,0.8359985746354496,0.7837444267867084,0.925228324487177,0.7845979075683144,0.7400987536859117,0.6981062857971462,0.7839637994312103,0.7620469100036172,0.669307616041398,0.6206247200893195,0.617194778708316,0.615696132119496,0.6037834867072627,0.6503054772605105,0.6787366368682619,0.6865921470478166,0.820338194713915,0.7901670036990908,1.2926975859987426,1.456597905153471,1.1026792467750537,0.8805293743485699,0.7605382183593712,0.7803714174964825,0.7068146485451722,0.7920658846396793,0.7027103706249271,0.6433038464559717,0.6338052645389131,0.6726238734413957,0.7727210678524854,0.7640972677702631,0.7819276756905608,0.860829943769726,0.9335851916962847,0.9106129751233103,0.795757971945791,0.7584747472565296,0.7598178190116741,0.7425907136634817,0.7127812551687513,0.7680855088991078,0.7038954863753676,0.9846534084557889,0.7361551955677257,0.8334896789308915,0.8342015666091013,0.8011068723505231,0.8211581381256907,0.8221835486403704,0.8148842726527638,0.79653572834503,0.69963305642449,0.9489283585389873,1.1697069253279617,0.8749415795007623,1.039411706361346,0.8961774305991816,0.8312914270564451,0.8031608119174242,0.8444322176166927,0.8994319881036825,0.9095291290138716,0.9263995016020862,0.9461525982960705,0.9310018183867363,0.9796854602896363,1.026844103338426,0.9489871648079682,0.9434499927229687,0.9875488322310605,0.9579496209454266,0.9609099859010617,0.9723830075079015,1.0189936535142934,0.964872264645562,1.0057679770211645,1.037847491116783,1.0004844718959993,1.0994977484109751,1.1335936534742765,1.095475959485372,1.175436732562536,1.0788497376052995,1.0487202205484867,1.092228120663082,1.1836544716912432,2.3068232943388103,1.3895306693488483,1.5508662087390586,1.071835443289095,1.1512810504886437,1.1938783355620457,1.2327191090676837,1.1830432258230639,0.9949509548347698,1.0651787398169923,1.0336885646113005,1.1134754223922698,0.9790159922979824,1.1436419076080953,1.0678512460060243,1.1377307375175727,1.297640221944036,1.0859840268287413,1.0221422782787144,1.050573062772244,1.0993789020728,1.2359267945440202,1.3484971152265604,1.2887118748107744,1.2146066435870913,1.179629046190027,1.3681011724515264,1.257364079434451,1.0985219499669483,1.2371242225354582,1.2801047040445561,1.088219269338967,1.1583251659840468,1.254245311860148,1.160812448968505,1.105119720851945,1.1646707432738115,1.117157609041274,1.1281078565757,1.1064520398588926,1.0939594230315668,1.122625509740416,1.042587940225815,1.0303890412306145,1.045931513953159,1.056558006135165,0.9711228397541475,1.0160356728543976,1.0948004895956505,1.027572628095949,1.0225664460287127,1.085219618103913,1.2469678293266044,1.0510527988774583,1.0588042201005983,1.1305641335806214,1.2865756899164749,1.2804702722915802,1.1519174854233132,1.048237183767344,1.052360511589898,1.2680563504485076,1.1710097741180316,1.162455359146778,1.054367709511129,1.0801673357984125,0.9356704427997856,0.9281442257804111,0.9412219100811916,0.9502172345042541,0.9139286704546978,1.0099983915614472,1.712827283423437,0.9044106703894744,0.9124739316502951,1.0203265693474843,1.1908053194763673,0.82068663200181,1.0151640243304065,1.1076008693293087,2.321641545624235,3.7716796066542986,4.631592281870004],[0.6536675486659328,0.5417503333584434,0.6298775193892016,0.5214698390144948,0.5602489969874835,0.511485973133252,0.4802928069306577,0.602369996462388,0.4727926734128144,0.4252561607697097,0.47587839034093943,0.610635725114542,0.5013660477928846,0.4219168023329036,0.6181965527965455,0.58635115941959,0.5244502046519972,0.5463473550825794,0.5351898279362935,0.5542270265761176,0.6193857259506061,0.6200703718030908,0.6265082592439842,0.7198298480215918,0.6724478501598204,0.5637197730291444,0.5125991540410851,0.5012065979220774,0.5641235624303579,0.6034931632427217,0.6286241681658096,0.6820539543474109,0.7526297723438357,0.7318158156907859,0.679961286628856,0.6209702945928032,0.6582427448301073,0.6369867651964549,0.6154280364287575,0.6966449051851648,0.9012443176588049,0.5926997154165287,0.6657373371915619,0.6276901858685303,0.8556841930148338,1.5784945301591247,1.4027422648753114,1.0888345192348685,1.3388285316744928,1.3629084377716587,1.0869906517905061,0.8977075375666035,0.8771716149544608,0.7023933427620946,1.59299204284048,0.9884392397800574,0.7742215917785636,0.9441112161103117,1.147913718570532,0.8806769887374254,0.7873362254416327,0.8117509429588627,0.7407570218743076,0.885640271002653,0.659935425187298,0.6730704485340672,0.8067242560398666,0.6696939038904547,0.7138930100987172,0.6998287668865381,0.9532162173210742,1.3013680840067683,0.9038706560218058,0.8799553659791,0.7301393850309121,1.09755679186816,0.6702503056444669,0.7271497765194807,0.7015891953614637,0.7307298421750714,0.8059323651911936,0.7897779219901616,1.1880031580442076,0.8355139230230451,0.6978252496067825,0.6911700069744714,0.6827884473649907,0.7093092844200882,0.6351337449892474,0.7764894500681945,0.7059437700021772,0.8481277878033602,0.7621655149341444,0.7341689557277388,0.6735988290770915,0.7803780569257808,0.7117421411646472,0.7106039709137603,0.7189571763641718,0.9377771655476478,0.7612941513623386,0.8982451390620808,0.7316741251532408,0.7958338550521259,0.8134389256656239,0.7778088021111377,1.1165481273735964,0.7618573249305501,0.7778613062181583,0.9584304419300217,0.7140314728695122,0.6071402454313213,0.5376351013695937,0.5504848992708671,0.49292215232415443,0.44794809407499897,0.45916918769651716,0.47264976744580534,0.4881614423889315,0.5211365326587599,0.4644028140314056,0.4279858054334516,0.4259286181197503,0.4423992024561501,0.4510271859153093,0.5047865298640344,0.5935281515662685,0.6459656551801943,0.6734315247242355,0.6902192468090641,0.664673254455808,0.7502432851061411,0.6684826422689469,0.7562845038555952,0.661440100447516,0.6218926139942793,0.7815406783550756,0.6286623299420988,0.5981869619567048,0.5613714039575101,0.6272846121383506,0.601271245438785,0.5587601645184063,0.5113535475815093,0.5138591725869636,0.5398584610113276,0.509826200218135,0.5674442032614357,0.5881016732342331,0.5913318422631832,0.7143957732969007,0.7183215135389733,1.2999380315916773,1.4979806177604171,1.086810293901046,0.8504044623601068,0.7195005883115364,0.7227130810289347,0.6536287018590136,0.7162816204835905,0.5941744638936932,0.5650660784050012,0.5259609836981339,0.5695708199052655,0.6263996728953245,0.6822358157872669,0.6400988187791182,0.7221935012319313,0.8058530533610345,0.7865466334628893,0.6480038784913631,0.6101903673545577,0.6058311014702786,0.6215686516242235,0.6232786440233599,0.699102551509316,0.654723026901975,0.9800391016714953,0.6815253078235091,0.7821121073077538,0.7809539232089,0.681822567892062,0.6845771185352303,0.6723792994579071,0.6699874997126897,0.6710343008219627,0.6397585568082836,0.826776840892962,1.0838016964518844,0.7368441001351972,0.9405560956854262,0.7832888533528114,0.7160532378174711,0.7468709676946266,0.653932304583539,0.6894414729812737,0.7058737415071374,0.7095219063993983,0.7198492544636048,0.7413897418502482,0.765255168070076,0.8338039257302886,0.7468454112289792,0.7192511889185843,0.778486335196106,0.7480399173008391,0.7208244428626686,0.7394993198159864,0.8177082766709399,0.7443700863834024,0.7938875170991221,0.8430564683481079,0.813829233777358,0.9301796369391033,0.9518056496084442,0.8969558168604622,1.0762981279927923,0.8937346443847118,0.8434164519025811,0.9053885755079918,0.9879843069807923,2.2619812208910766,1.2460034825199857,1.6102687118739967,0.9259260150479863,0.9972082008287345,1.0394981719396441,1.1005095331194739,0.9787592874300133,0.8197383918704488,0.9144988762962419,0.8677587343693962,0.9574229607990187,0.8085348981675253,1.0474530241229465,0.8329747189390558,0.9203234864948742,1.1018547164868289,0.8627793129784945,0.8276758653546297,0.900417101714394,0.9554423622764818,1.1126883401580758,1.204533433603316,1.1748095407886794,1.0703752588368662,1.0372451688418654,1.2577260693740424,1.1130342472224122,0.9431546425256149,1.0946445354988692,1.1338746611931323,0.9090262801024733,0.9892489458549728,1.1120077720612838,0.98987969378991,0.9443210417167966,1.0194618698930629,0.9537500554835442,0.9585116223644116,0.9391756125933103,0.9328160490855422,0.947628709577421,0.8416148792351251,0.8798793420029849,0.8504703832247319,0.856241445007732,0.7588571940610519,0.816571414664443,0.893478847344471,0.8248871324239666,0.7963969387106392,0.8773842845132476,1.0468382284551487,0.8598712991107287,0.8363165852017502,0.921638717899945,1.071121065018812,1.0733580910349403,0.926208952803868,0.8200501099710594,0.8102142027815635,1.0342308097957378,0.9094222512239705,0.8904131564001981,0.8094153541401264,0.8099766742711687,0.6906056811898988,0.7090230150226691,0.7449044343999736,0.7339646054809259,0.7387458113275389,0.8891321542762046,1.640874093967036,0.713407865885469,0.7362599412290368,0.8892462987465499,1.052047077545798,0.6527229058731715,0.8777246199395842,1.0854006495553417,2.8168301240679154,4.468778356384567,5.1777585303633815],[0.5107368029300197,0.3339670697580245,0.4182698790939799,0.38706356422508026,0.37007137565445536,0.3670950935669637,0.31396034783396026,0.43101616081972693,0.3566962162579626,0.3216241646162666,0.39713227453971295,0.512858015192734,0.3885550145250715,0.35523293730134475,0.5274950043461012,0.4749066994303541,0.43013558507897026,0.4594222297085665,0.4960991667190347,0.4712322162238628,0.5480769044793918,0.5304633035857056,0.5928065159007426,0.6936925747165528,0.6653182012403749,0.5381915001725818,0.4168182538205402,0.3923633776277777,0.4433903745008742,0.47723891481637454,0.5218856663264395,0.546952358335376,0.629982257086341,0.6077497926349197,0.5411652122660671,0.4956944738908592,0.510851253142412,0.4896765337640326,0.4615256767415036,0.534713108489592,0.7755507917270598,0.49519251371585254,0.5261033551090255,0.5473968821308653,0.8144509472599765,1.5856079436659314,1.4665558991332914,0.9855394635283186,1.2594308644132741,1.4176387213059747,1.0559076865861088,0.8673829729188376,0.7716340147950033,0.6182036245475863,1.4388887923093039,0.7878872625265794,0.6455700166982421,0.782449512418243,0.9684180079438276,0.7940952299038273,0.6933221464765734,0.7446580317712452,0.6367503199795332,0.7847258046355686,0.5863153071390484,0.5932342285130048,0.7771255189795947,0.608360032291182,0.6904233949443009,0.6668625466121232,0.9225301166019375,1.243977727998494,0.8731455061591816,0.85949905183911,0.6715356610700793,1.050827895482296,0.5812807248669665,0.6224481417380139,0.571595615146218,0.5839640200786899,0.6564438329238762,0.680087889699218,1.0159919965241861,0.6156704029941695,0.5666988434833151,0.5258668416251421,0.5398510194329347,0.6152919766265369,0.5023773549841426,0.6674456508688552,0.6050964913549168,0.7575777715709122,0.6569733389058464,0.6025808152074835,0.5660779261991825,0.6718589624502824,0.6247495059581648,0.6047583918675635,0.6106991102489205,0.8689630433882954,0.6371417821502414,0.7825148843772824,0.5710324682743496,0.6325699857554196,0.6395734647997369,0.5929885023695601,0.9340816869552865,0.5177640610270071,0.5444190147807374,0.7918521703539664,0.5025543180022994,0.41185756779164845,0.34697232018990537,0.3753319192969938,0.37312131827910067,0.3288365413968973,0.3791270937461086,0.39114295255367837,0.45557471471513244,0.46128631082132476,0.4169006494072563,0.3742684403833231,0.37361334863970963,0.34275148220627455,0.3289314275062896,0.3542251378676646,0.48096864206457646,0.4565057998148039,0.4592388752898985,0.4867526506013265,0.4583742048060836,0.541797226619619,0.4586445636731695,0.5573092585144815,0.49955132146894843,0.4827821782561881,0.6543263473838262,0.4700208881184729,0.45296546556086625,0.4169553082617352,0.532316172757064,0.5323397304818853,0.4669481498775543,0.3917461251059047,0.3682824086959911,0.40741532385570417,0.36089364521295125,0.43064972815967395,0.4214140409097213,0.44393449198613344,0.5537152895027567,0.5866898968992859,1.1731111559527305,1.6144599431458844,1.1790105925815033,0.7221592231491019,0.563735005629557,0.5603887789649137,0.4968479033398522,0.51314098014618,0.43591577046577684,0.4132285146182395,0.37394799623309316,0.4028175608299329,0.4910122452873199,0.5628325923186871,0.4908597955935359,0.6161990703736964,0.7027336354019627,0.6830239655471396,0.4990522838812503,0.4384212858355371,0.44305660901647576,0.44703231354200473,0.42878262967335,0.5119731334196552,0.5036499296950688,0.8231213132183558,0.5053359735835459,0.5905435066240717,0.6153503153940655,0.4770578004795109,0.48520302973773516,0.49306982736224353,0.49278985301956807,0.4984927645048996,0.4903417498489441,0.7083239963548822,1.04430350458002,0.6653431907562196,0.8755140210358647,0.7364206467958613,0.6351178350406941,0.6473618579137419,0.4734453893383291,0.494925542131918,0.524963853797315,0.4819159904356813,0.5080797082336996,0.5458725811518533,0.5409909369435876,0.60879406961266,0.5244820873074816,0.5170047011783936,0.5762328298378856,0.5486566461178556,0.5741842526587337,0.576072739478702,0.6472911531189968,0.5864636704182615,0.6622474579927707,0.6979605763052262,0.6647935750563269,0.7905076506845283,0.8301438279147577,0.7949319562605957,0.9744986596636112,0.7853656542187029,0.6986366584830807,0.7534557580849203,0.8348070902146257,2.0748168680672237,1.122565409263771,1.5555718396523597,0.7448706568123047,0.7651636965041346,0.8228865432259185,0.885665380063288,0.7629559029502998,0.6190587727782153,0.717311267663886,0.6878549410074333,0.8382645262660072,0.6259041397581673,0.8763733091308402,0.7242522063574018,0.7595563243017353,1.0352877770963502,0.6726584501568728,0.6236264477657839,0.6773133824454084,0.7458707114970005,0.900239829227241,0.9899960735207566,0.9585080803637474,0.8494139253491536,0.8279275974607166,1.0603078778461519,0.8957605835757836,0.7465655792735671,0.9259080324815077,0.9886952705029567,0.7556614000399571,0.8314697257645574,0.9775417495584702,0.8748989969791471,0.8036688860733573,0.8744230904412037,0.7941596745777892,0.7855902159535634,0.7335026999553581,0.7269752360691724,0.7710701001306324,0.6568603489676832,0.6856958987877194,0.6670256591638523,0.6897831774398587,0.5852089050345656,0.659243529900733,0.7639002647956109,0.7004910491237302,0.6573243931975559,0.7406363017530067,0.9569377854993146,0.7811724427364964,0.7570904088166149,0.8349007358516513,1.0485605138695828,1.036891753081363,0.8585915524957721,0.7115609275665769,0.6976398084932618,0.9731049923909335,0.8566489758304116,0.8548228378973028,0.7394768201003576,0.6985970509010193,0.5350971842229341,0.5036613942650121,0.5829007350328383,0.5374956148516934,0.516402633940311,0.6946568969549297,1.5046993383532363,0.5034955989896002,0.5619847721230643,0.7256410493214397,0.8802692693747453,0.49154553429603076,0.7405610945261736,0.8676306210893455,2.5978942565161693,3.9306249885048583,4.379425391415303],[0.4449372560817444,0.30598131848735216,0.41294499185970057,0.45711634645057964,0.3733853532823582,0.3557480096997134,0.26253186604446177,0.3564406824361954,0.3000511856407439,0.2811521655525173,0.3588092559708261,0.45100294845450556,0.33163592075833676,0.317225357846884,0.4751500222246875,0.4247521403309857,0.38459610772013897,0.41393129668089873,0.4566131431879071,0.42917352231166905,0.5155708304999284,0.4981726436442372,0.5652377516246937,0.6801956501128053,0.6453976576189537,0.5215034977466488,0.3925265934291308,0.3594868456514719,0.39858661952480917,0.41428067859224255,0.4710268560107166,0.4706458576475011,0.5418152092824541,0.517780942839134,0.4620881245432776,0.42998250647609865,0.44009022948145887,0.4318769016954676,0.4152772029561654,0.4766013675869636,0.7586874484012908,0.46363298115317436,0.48551639075358743,0.5320472828472389,0.8009162225433892,1.5683985578928052,1.4534985563451215,0.9700617858455173,1.2415605429104406,1.387830669316411,1.0078117282314525,0.8375535821068519,0.7027551489486736,0.5640358109349752,1.3898337639448677,0.7217316707525187,0.6126908205008914,0.7315307637548512,0.9095877870729503,0.7608733743704404,0.652917636607032,0.6990974216634542,0.5831698729694795,0.7358071310421492,0.5398658313724649,0.5503057187975721,0.7438523092005543,0.5557559597158981,0.6520516555635096,0.6290649280220575,0.889516377218363,1.2105705512192717,0.8313381748052893,0.825921626903003,0.6238236532068382,0.9948123114591431,0.5208150308216358,0.5368426391117491,0.4920533643782013,0.5269947976080464,0.5847500197039961,0.6310826788714466,0.9608980907698922,0.5346237443294962,0.5263682308994289,0.4574464337585411,0.47593303497240635,0.5653745712965741,0.4425617784294126,0.5994575193254478,0.5294218833768065,0.713959581889468,0.5818974025588077,0.5153540649131666,0.4882264180020287,0.5821920743400076,0.5594535987831313,0.5287466823487653,0.5204953775621266,0.7942087860795659,0.5394161442276211,0.6813074314442509,0.46903639581018525,0.5453022203490985,0.5434843950658056,0.522524554684678,0.8241825997977242,0.419461233814201,0.46142500545021736,0.759880964562963,0.4181439525739293,0.3342139748170142,0.2789663345102041,0.3333814084318139,0.3349148373057454,0.3123870805743156,0.3489609117628514,0.36552693971119254,0.44219003694904163,0.4341136793109037,0.3963900075658592,0.34973090888388364,0.3559280796329874,0.3279502831182341,0.3053815568500663,0.3257289339241534,0.4337921389138895,0.3893966973497387,0.37653335195499216,0.4150025649628106,0.3942376628690422,0.45727375801657594,0.38821126627201474,0.4977753557734507,0.441338498629084,0.43360266385433877,0.6266468690807466,0.4187844134933902,0.42707259214995913,0.39028408052472074,0.5109515636261526,0.513763209384818,0.44346599454740004,0.35813853252770855,0.324458245824181,0.36557364244928164,0.31518997178638564,0.3759638121685991,0.3525615909686194,0.3881492711629167,0.46421923871681603,0.5123649919960993,1.1110460451239275,1.6756023000970275,1.219358570345936,0.6209035437934561,0.47780422563424624,0.4776545094184375,0.4211032911868196,0.44871005767331884,0.37861630070798624,0.3485682193639921,0.3348921204158911,0.3465813627972396,0.43615164117253663,0.5313055031812767,0.4653354906365345,0.6046166710959195,0.6814821514838678,0.6691458553676012,0.46543274204165597,0.390277130926455,0.37140725335450475,0.3784763060086217,0.362676638672496,0.432659174615006,0.42836668746367634,0.7586170681902155,0.43948172408213326,0.5276325056520011,0.5953984737993269,0.4016892844402959,0.4026911217599679,0.4034668602158016,0.43342746022121614,0.44320199374604535,0.465739280051272,0.6568070474728244,1.0529026137007924,0.6511458912566267,0.8937858661698223,0.7556490924106949,0.6328562997315127,0.6661831307986831,0.42822610648907333,0.44609347188160825,0.48296301852801593,0.41092105721914984,0.4355630106256292,0.4813703430279655,0.4603995932496495,0.5207263435531381,0.44748096878011306,0.45414274313467906,0.5108921205933937,0.49469607546004907,0.5223867886144631,0.5121775524881277,0.5885075018006073,0.535395894008789,0.6095250025332758,0.6505444678980301,0.6436789944117912,0.7533028158741863,0.7642006826907535,0.7346204755727737,0.9224754361583758,0.7249267141980055,0.63083380355999,0.700117006174337,0.758822061468344,2.0379329575638927,1.0666230917725066,1.5688489644592487,0.6865257588712302,0.6739863452653166,0.7404986525209442,0.8250768522176778,0.6512290090343623,0.5545246074529931,0.6814750998215535,0.6537951116399044,0.7927097242411475,0.573518815201851,0.8528850071473366,0.6417504757906186,0.6692908086252896,0.9959571935471501,0.5691587802682511,0.5280680401449682,0.6322702707859701,0.710878347544126,0.8495495250982869,0.915979147454043,0.9034175724605031,0.7801963622742419,0.7427354855625098,0.9867874658571146,0.8152851958868039,0.6880966503881618,0.8680098075253238,0.9356061840417196,0.7067440973957131,0.7770186540021787,0.937813881981441,0.8404176741074577,0.7621039216717598,0.8169459878140437,0.7283087727115929,0.7109153503029705,0.6607345063045582,0.6488589601428083,0.6907317177671319,0.5831373273392361,0.6353402774680136,0.5872326176077097,0.6204931530928453,0.5203243797955107,0.5827972322748253,0.7063556516239733,0.6617566237075574,0.5926794585945819,0.6650984311903227,0.8882461838243423,0.7345795853264142,0.7076328224062085,0.7879301131500974,1.0495833792631288,0.9529621423754837,0.8044361554134556,0.6596890438857678,0.6396524422614243,0.9294841802640331,0.804973559347683,0.8047634539049846,0.7058249232793935,0.6338090744607843,0.4917555143668249,0.4235946951424437,0.5139251422007625,0.4784522565985428,0.4534484571560478,0.6745350863246159,1.5018371239268635,0.4401518590513115,0.5559224128148496,0.7716620188119636,0.8051298990211159,0.5177201272022537,0.7611803389339807,1.0126886171771938,3.051210257444443,4.226821329036824,4.514332773824016],[0.4596264758596651,0.33859418253495455,0.403328485364842,0.5140086253541083,0.3871081314120786,0.3642630034335274,0.28336256936131754,0.3643365206350536,0.317926234164467,0.2865096546599678,0.36652724645359275,0.45353690253744466,0.35353049778890144,0.34582252669981706,0.4914165636898179,0.44000510667299436,0.4204823235357359,0.4626907814605271,0.511408746773815,0.47930391866804334,0.6003519078976486,0.5694358776317551,0.6328844891612968,0.7663107692089658,0.6426303965876853,0.5576185967764388,0.449339587397588,0.3990872459090563,0.4362040989486596,0.44311870909913326,0.5144986193019329,0.4891299177017528,0.579985169740435,0.5629249357734278,0.49892141824287567,0.4717530998275925,0.46718169529753034,0.47748804014787743,0.44517736963694693,0.49185209366321375,0.7640428794321227,0.5111540296823763,0.5322813774117373,0.5760163059773499,0.8198030256022731,1.5362308287304107,1.4648843932735671,0.9734255532374957,1.2382320208297755,1.4251485871228398,1.0572039370945523,0.8620141449389545,0.7309279998692706,0.600068771515916,1.4221640050507254,0.7451732414502468,0.6631781533456077,0.7884369675101983,0.9299435690884884,0.8210416982063165,0.7102476255048213,0.7336229589590458,0.6326258692290877,0.8058713711399315,0.6086240556321315,0.6212232341726293,0.8088009756909941,0.6045329539785407,0.6974270089207648,0.6607982215019259,0.9138111035600816,1.2206823856258553,0.8494129534039425,0.8857336385763758,0.67172291369519,1.0660391697640763,0.5765621606928004,0.5867462521599879,0.5375879165551279,0.5729809964809723,0.6120570504197229,0.6713194625461957,1.0029626089508719,0.5416442852336434,0.5609773419179442,0.47525698721264337,0.5162715278443993,0.5901786731158264,0.48755355060294275,0.6430243394459197,0.5735095392547022,0.771815319644682,0.6372155958071158,0.5594729184963477,0.5278495728193373,0.6135459221952142,0.5924548436694108,0.547689541674939,0.5310455658375066,0.8344835662494156,0.5385225133371405,0.6531989857387126,0.46404188398592555,0.5352677756272008,0.5357740245767623,0.4955537567542738,0.7454468139231311,0.39519362189453594,0.44666755996975643,0.7439187161456715,0.39870368940488504,0.323376853182984,0.2967662729894167,0.3569623528175498,0.3642519214697583,0.37762884235387995,0.39186744919984257,0.42875135545703075,0.5041792073704192,0.47968039395160417,0.4438957440538021,0.40567422793312524,0.4189862188213366,0.3731319018092531,0.3333203192504831,0.3541682192725852,0.45359990726106963,0.3714755204746697,0.3573513105802177,0.4066178216878979,0.38342099765651144,0.4204641940986531,0.3769544206525804,0.4891579246931678,0.4439178111124108,0.45396720586511347,0.6280259300049423,0.42877621897405344,0.4461874798339571,0.42257072530317186,0.5602043044339798,0.5738604577526526,0.49447025670337724,0.40483420250224245,0.37379539692189234,0.4191858577507727,0.36052570700158804,0.4005547010359233,0.3788276045136384,0.4056337576477003,0.45496194227773307,0.5269487594888019,1.0959745074541534,1.7569336486895268,1.3579818666832109,0.6342280183745893,0.4710833884631663,0.46965212541222534,0.42460479799191875,0.4408990017089187,0.41291102366336957,0.3819142893930334,0.3725039516658278,0.3837330177983548,0.470717380328972,0.5576438526054199,0.4929861599434641,0.6356032447058706,0.6859749032505651,0.6771744168333169,0.489711100728546,0.4202782180228994,0.3904894596602825,0.38767457981138076,0.3717363543793812,0.4421355841342235,0.4459970375465994,0.7424226505707353,0.4612115923860514,0.5258552952135159,0.5955273366919025,0.40242516993230115,0.39954016482243426,0.40087531395521564,0.4386840138572748,0.46397816125940194,0.5191066349242619,0.6749570564764815,1.1159505585330023,0.7015381500068898,0.9352979757317332,0.8471687683136584,0.6842461691444371,0.717541534708946,0.44967491747412863,0.44049070465877654,0.48409556369740764,0.40088407183723074,0.40902782737689747,0.4752055861141461,0.43471682704177383,0.5019510441264904,0.4326790737421309,0.43543573867205215,0.5013872530703651,0.4978833136869655,0.5086210147794676,0.5078780888972431,0.5956795181522244,0.5412590650947078,0.6120664859353279,0.6534826890796666,0.6545985760439218,0.7466671320150513,0.7585028616479066,0.7361431701087818,0.9390173878959688,0.7233727096500842,0.6183029557980494,0.6957227344328654,0.7479237624991315,2.008380580354063,1.0583770076896248,1.5621010121422212,0.6891379082538501,0.6690296595372315,0.727876789814838,0.8050963531663186,0.6227782805228943,0.5254950488435821,0.660116237016283,0.6453206212380492,0.7659737546014803,0.5438829696109103,0.8557778806512065,0.6311467526591764,0.6454838526814592,1.0052483838327513,0.5293549364329895,0.503698927102246,0.6289147688555609,0.7109887997577682,0.869900063731566,0.9114418329700925,0.9229342158582806,0.7782475402370075,0.7456902435649289,0.9957257266696284,0.8191354659757156,0.7001427915202034,0.882803947115956,0.9467037449937795,0.7178234021883527,0.7869466484799931,0.954692946839043,0.8577300780091714,0.7720465132121955,0.8241062444821744,0.7323371015747658,0.71252849593577,0.6639370105656525,0.6474817267046399,0.6797628561594925,0.5764444018614058,0.629176880249063,0.5716288213531467,0.6052483384148267,0.5011766259993726,0.556752224235985,0.6976201248068511,0.6539166829213222,0.578674447761434,0.6466362040205871,0.8924307513881393,0.7527517989822532,0.709601050613963,0.7989888286085833,1.065730771971544,0.9566850956954771,0.7958145112296722,0.6487890222424291,0.6061002316025016,0.8826388762592817,0.7696496413382035,0.7827656509556032,0.679014729144843,0.6004300626076978,0.4792148721589426,0.4104449264069824,0.506054275403752,0.4754484168136916,0.4512736255806827,0.6793559153937581,1.5314467484557226,0.44000758773172466,0.5666735793317603,0.8160614794986036,0.7878498299756791,0.5350708656303697,0.7711364558382292,1.1022319859455654,3.223383394534741,4.377630959660482,4.697817286163302],[0.40755203315312594,0.3519503908078995,0.384837065045951,0.5172858428154843,0.35519256385505676,0.35227111241577336,0.26248251687179003,0.31866599706630927,0.2875725661242118,0.2499324501868015,0.30243349572905226,0.396766096355409,0.3058938361866277,0.31617848001999527,0.44606714428339106,0.40286305787735305,0.4070635280028795,0.4435709535760785,0.541386799469733,0.47762674089839224,0.6047325114032511,0.5781431908608734,0.677567882333755,0.8224501717860639,0.6935701763914873,0.603429940247848,0.4555135599220467,0.3863590855598983,0.4076336922576848,0.40884681943101264,0.48827664558766903,0.43628230410667446,0.5539635911703927,0.5415937463202807,0.45883427014661216,0.43610986660920115,0.4145358016060807,0.4497719477364736,0.4199959443332105,0.44965969179450604,0.6854594538016605,0.5262220123964428,0.5272569226620027,0.6254619094063593,0.8548000476206438,1.5389978588930824,1.5276154087423734,0.9794222121527022,1.2080553079378051,1.4888438991745494,1.1130444447490278,0.9348553099509338,0.7351074421883695,0.6190001927067352,1.3572580534321512,0.660141405327962,0.6515555290866732,0.7541808125596671,0.86228712868166,0.8413100777124922,0.7163195104924053,0.7197923274791997,0.6370124300239242,0.8140741932095005,0.6177786971641024,0.622776142196918,0.810276442330416,0.5818753164714379,0.6863228291880629,0.6543285821051421,0.876243318647711,1.15968701138692,0.8309971955852273,0.8993203960547109,0.6570259287758377,1.0690371892821668,0.5702477840225777,0.5686520250616914,0.514180561447952,0.5474320197314522,0.5388688004473239,0.6307343630975031,0.9658940848363242,0.4535409920032558,0.589500488050798,0.42039113950807916,0.4844921577471644,0.5481073059883175,0.4581480445999308,0.611569867874617,0.5496071103841843,0.7955920771924736,0.6325406772319254,0.5277565458747107,0.4903082709751048,0.5791936277124502,0.5488368225626897,0.5100827813725829,0.48909434763826776,0.8287885862452885,0.4909070004106757,0.5930267473271175,0.4101163644921737,0.47287530910957826,0.4762488834891106,0.44344155840181154,0.6448672692327488,0.3290426991463287,0.3647067674666114,0.6917451159919209,0.3274652566229822,0.27313430786339754,0.26102011147036297,0.3175166870459463,0.3256203104305559,0.3489739177694622,0.3712970499415758,0.4164866902434903,0.5227270197891987,0.470950658948814,0.44805053959811036,0.3937906624729092,0.4229355267031806,0.35600967979639364,0.2939638963630568,0.2937553631186783,0.43249388852241866,0.32441831873890725,0.30324425940514704,0.34976710044692627,0.3362144614263064,0.3602906332678566,0.3336463979779534,0.4344395023105911,0.38440878305264486,0.4045848998243088,0.5570581724159234,0.36821233869267944,0.3946144068293813,0.3965087964856273,0.5487039194924827,0.6132188751649947,0.48965857602668517,0.3896638857735734,0.34570657387323545,0.38630267590193296,0.31578094190625616,0.35476067363683406,0.3253416208358525,0.3626184169608849,0.42296947891547565,0.5151999316034772,1.0373534506195254,1.7952692782806297,1.4628885475812101,0.6112669687160078,0.41760670231085567,0.415548229865444,0.36641477514408705,0.38290284204842806,0.3736368281135617,0.3395836425249379,0.3366040115689149,0.33936991813893425,0.43842460435724195,0.5394262188303671,0.4635079252377621,0.6212855288193876,0.6346867526545906,0.6224994097248262,0.43807417100495943,0.3821371420490269,0.35382021656440177,0.32845924499097606,0.3165049934244839,0.38209331334245555,0.4005274982684768,0.6632599370976939,0.40962967906379605,0.45858672983984294,0.5647900492163902,0.3335020657814884,0.3487566665137211,0.3649498093664819,0.4131477615984848,0.449270517137128,0.5001558224465985,0.6773157000538803,1.1531072770931596,0.7172007532685473,0.9597823546478255,0.8971098066669123,0.6868006137588781,0.7141267792288692,0.43633163307976286,0.42511992453609504,0.4633556291122334,0.36041020262396645,0.36868975375684804,0.46225949474795375,0.38480754621916025,0.4503447296297625,0.3880652637821822,0.4021682505206093,0.48077552348943425,0.4928510718499163,0.5005065133645286,0.5062426125793446,0.5968842076089793,0.5468100983283717,0.6092898414167861,0.6478380469630388,0.6620929414833325,0.7222426456591523,0.7369325591716439,0.7198277150401157,0.9142220751974571,0.7037692331981069,0.590559382477638,0.6699973368684348,0.7174074498698807,1.9219888506253366,1.0508319241484623,1.5504467451344377,0.6788238440639233,0.6446008890158245,0.7013855396984527,0.777793458637806,0.5954696155917474,0.4945479388532481,0.6237770740485329,0.6315214020426423,0.7419398561935959,0.5056765301451058,0.8321836931240502,0.6287954329010944,0.6152758114228654,1.0407274039266419,0.4660093518124415,0.4701857433212483,0.5850473405877237,0.6736709704485899,0.838288803456351,0.8673958780534496,0.9011551844521746,0.7388974425076387,0.7155867266112931,0.9578824446623804,0.796269542486559,0.6860972920812504,0.878094992347116,0.9535471527555978,0.7208564193294101,0.782944770103162,0.957624383750034,0.877374306087218,0.7763309535788799,0.8232492623786318,0.7312472828760405,0.7051401769239535,0.6433887697219545,0.6258869807065898,0.6566131974969944,0.5610911211441815,0.6003711529111883,0.5484643177652352,0.5886591748982041,0.49342539155166815,0.5396789215372401,0.6905504434624509,0.6393711843683835,0.5765467496896609,0.6290036135879427,0.8847914122458569,0.749046791787708,0.6940476970837288,0.8238308133863302,1.1183501316939857,0.9132054997504133,0.7721638801807077,0.6267118876239418,0.5733229637187102,0.856153348933078,0.7481415085996334,0.7820726874285052,0.6662873673464939,0.5833533656378512,0.45683264131157175,0.36552442103401195,0.4605968948712302,0.4301620766526352,0.4284808354927358,0.6746387580823782,1.5153751796634631,0.44884326496690286,0.5807824039807246,0.8490008310170325,0.8143369409118246,0.521424286038158,0.7827390998981496,1.1146646161090732,3.2589476871929675,4.23145891873159,4.4997628035642805],[0.4323117781705468,0.3592284309869214,0.44408603522709683,0.5764501523874203,0.3829217254179507,0.3804607027858695,0.27234285714046,0.3696626576707856,0.3178521477155624,0.315656433480764,0.3858345631691089,0.5087550533032617,0.4152941577686357,0.39496119542180863,0.5455324798090712,0.5225482220722717,0.501990884222122,0.5647384313204462,0.6049039037562017,0.5794475760394999,0.7442545077790356,0.6887329425279096,0.8167363505949163,0.9466077509465569,0.6451887456150083,0.6224256177613086,0.5573484096220327,0.48541814225693125,0.5197447405734166,0.5175458006521517,0.6384313209522176,0.5706960968219812,0.7420984903931775,0.7111518333289903,0.6203236522987668,0.5783269963839746,0.5605032380973892,0.5490112991401602,0.5201695580007485,0.5565848291887906,0.8105953679125837,0.5929978682325773,0.6473089270483718,0.6254591318260496,0.860334166299944,1.4707079834856738,1.406096483442501,1.0417869712740995,1.2276219891692672,1.3464807923176683,1.0383242744945782,0.8969497178919326,0.7497139914628766,0.6505391087097643,1.502569857633091,0.8941555817424374,0.8190711003012706,0.9392756516646196,1.0442974852871993,0.9406276634306022,0.8361092794752074,0.838387605221793,0.7773715112077899,0.9596228349614413,0.7444188121379658,0.7594843552588351,0.9492275793132672,0.7034838239666338,0.8040581432899621,0.7465622544319136,1.0038292407200522,1.3594787892306828,0.9378596182380246,1.0148045657370917,0.7828336348118142,1.2145109497979756,0.7255684651153135,0.7412042002603131,0.6868051524443741,0.7200803836382867,0.6956671399516007,0.7500079902573962,1.20061013840607,0.67446154681846,0.5848968106099851,0.5443410620903493,0.5953214528451182,0.6905182809184213,0.6191863203602095,0.7804144398401128,0.7082146555344616,0.921726577405526,0.7958881691967451,0.7161321612619026,0.6521888396764338,0.7297041101100912,0.6875914642732762,0.6395996036989975,0.5945218451127442,0.9386562402322617,0.6028396373778655,0.6649315664426926,0.5307813398972387,0.594084151923108,0.5691658248846044,0.5221949695603972,0.6880442307860634,0.393204970392716,0.4309104265690093,0.725543650638977,0.3749753651526408,0.3335914965697775,0.31623653598660195,0.40153462960100145,0.42138425920566625,0.4377567450793672,0.45520107391352754,0.47943221889102583,0.6068587923878198,0.5690090021561616,0.5345426402440289,0.4903773838267082,0.456461427818762,0.4055745342655931,0.33418660383804305,0.3390778576096669,0.42240601406595685,0.34507335929324684,0.33581755936988733,0.40036152691146437,0.35579684423512464,0.38911902557717065,0.3726404225505911,0.521729620563914,0.4210759401486653,0.43237219707301633,0.5684291605695789,0.4040651398439164,0.44192714617561174,0.4628907806561054,0.5652829667496413,0.6311917640296139,0.5463724017009193,0.4725152760708859,0.44590357346126547,0.48593856369325966,0.41880912301580164,0.4554548099924174,0.44002934232263385,0.402667921015371,0.47475716751081887,0.5596190281115662,1.1150167698210176,1.764012032063482,1.4310691663399497,0.7220633970657829,0.5143111008853496,0.5324482278609322,0.4957894761236792,0.5092754777378129,0.47233757992661835,0.47253487171858377,0.43789165615053377,0.44573876237900834,0.4653876719276326,0.5722495106693681,0.5038867191454968,0.6244476258328497,0.6393234353760192,0.6387575428494886,0.47870950461949313,0.44069008937518395,0.40839721827017467,0.43391133428784484,0.4679558228294012,0.5168441315748938,0.5224991133216572,0.8205305936744169,0.5601422999216439,0.6052335184886384,0.6610510945714017,0.44914975982551586,0.45611410983135914,0.41804534939330606,0.4430086272307341,0.5017831754379851,0.5863648803234082,0.7312174224341141,1.1021514110331212,0.6778624923182167,0.9336959821811012,0.9044104729319499,0.6775761060651099,0.7682488926852371,0.4660970307851743,0.429832700027745,0.44090105657194595,0.3918430395157159,0.38387359053749254,0.4729938670492775,0.42776852611248845,0.5067572965511452,0.4278555363053837,0.42314662332576936,0.515264402014987,0.5187436658783684,0.5118112435985205,0.516777859416392,0.6224877648258376,0.5688095860344496,0.6280660008274949,0.6729458627067516,0.6902241221445025,0.7767899641792689,0.7735809958051557,0.7357727416646007,0.9362877156564641,0.71151410067204,0.6162016163627759,0.6982506698104354,0.7349384600335812,2.04011753037347,1.0450013559429367,1.6073697174409203,0.7246607522346448,0.7240141446893696,0.7758188865022041,0.8749419345762305,0.6397904572843808,0.5388636339034211,0.6793703806041211,0.6731743828014852,0.7310102200283094,0.5273068556899921,0.875652675823009,0.5620619092504288,0.6050285312711468,0.973746264599714,0.4717129339089467,0.508380131699091,0.6753050577268058,0.7512850089356923,0.9304175404478437,0.9601849948401071,0.9913548513899746,0.8137193993973356,0.7993587013622194,1.041991187975444,0.8593943542538721,0.743552331280202,0.9321291142097352,0.976285415367431,0.7390913823002,0.8215366442353966,0.9941970253863943,0.8733867466592542,0.8027204717054374,0.8573340440857461,0.7614081446289492,0.7521160473015774,0.7040406367364143,0.6911612985735373,0.6973742583168167,0.5854111964714095,0.6268468757353971,0.5651069399407631,0.6032303659437345,0.5038251359520263,0.5382682439378633,0.6631822292087147,0.6485153179773927,0.5650479995294179,0.6355492923809742,0.8509291746817224,0.7368084576121813,0.6962265436336621,0.8138408518891841,1.1289207926408518,0.91386399812208,0.7850390996670237,0.6400231138725007,0.5987685713218341,0.8864209745167617,0.748572001439783,0.760747742064384,0.638024466304008,0.5543609280409995,0.45650845592586137,0.3931675374372742,0.4551212103700483,0.47273781869039194,0.47490281751963087,0.7381553015584567,1.569472091513144,0.4762072853401669,0.6283196699313767,0.9409718710722171,0.7829230216688906,0.6015047718829077,0.830471590695811,1.3697989585456494,3.642470538522776,5.040100297235448,5.681255038727916],[0.4151637955865152,0.3741615378037822,0.42914417565643764,0.6080559472378978,0.40624776626450654,0.3944533899347473,0.31439570997037086,0.3098662923574295,0.2956809392131791,0.27986827294401545,0.29487281070935867,0.3917450343677379,0.32856626673491607,0.36200770493685286,0.4612636138694414,0.44702214671217233,0.45602271735324956,0.5199816890508356,0.6201454462408961,0.552880473267289,0.7245052627413425,0.6846394653736001,0.8344164201384977,0.9692540904056294,0.7374146707225699,0.6835864197394483,0.5605542080353133,0.4664142841653363,0.46975863334703966,0.4463113183062588,0.5419479756502878,0.47303312823027455,0.6420074602314928,0.6014627490026647,0.4974925816689842,0.48728046326153257,0.4619214210535885,0.5080647906004222,0.4841604828059434,0.48718991495623465,0.725863460851903,0.5981470123202667,0.6057135786276993,0.7183392259495069,0.9729170206102042,1.6049550846525167,1.6323900655387693,1.0734859048631036,1.2751142037759242,1.551777819754157,1.1827839944308085,0.99592626170247,0.7757789143380437,0.6592779357655624,1.345056894524409,0.7355605222054773,0.747357261839891,0.8212296435097273,0.9038740471969438,0.9354458375047592,0.8119854716804726,0.7936467181038834,0.7176405073900288,0.9056728826986716,0.7233777880489982,0.7161023652982822,0.9236410604925829,0.6594641597575717,0.7760613760057162,0.7029638793252148,0.9181237845477702,1.1891164096651676,0.8656376343332559,0.9758035622791871,0.7095555910749912,1.1111312533675024,0.6367536276440581,0.6301453526137786,0.574047726156853,0.6228974871485535,0.5759221655444604,0.6753619369687069,1.0333911175133326,0.48251534889888625,0.6524958862191257,0.46995643621925426,0.5393845950961977,0.5732275710516588,0.522976008717484,0.6552196532438889,0.6138816804359851,0.8928444428413631,0.707797146188888,0.6114313565173219,0.5502771063552352,0.6490019400786385,0.5815831756833163,0.5530233084044986,0.5156016006399808,0.8767707818801794,0.5086004013320348,0.593642653731205,0.4333752527622907,0.4715490946715756,0.46787780218412733,0.4720309636840701,0.6173838038473274,0.3537782340339777,0.3787785200392731,0.6802175169211552,0.33235116464593983,0.3118858330739651,0.3124922120334477,0.39253758903055225,0.42277828942266155,0.4366815441409768,0.45433874483929476,0.49137933719200494,0.6090387668150046,0.5553362691583423,0.5264224729273849,0.48276086512735683,0.49374350628998476,0.4482708859143903,0.359811356111542,0.34183105223957383,0.4902854535467015,0.3522177166856501,0.3385917558663902,0.37139586629353577,0.3764381982418088,0.376196321805443,0.36313583206517075,0.44839328339926077,0.40387993721551624,0.41885226838016865,0.5822864070744557,0.39719717227247847,0.4285482014407934,0.4561766108441823,0.6095607075860199,0.7085747668524103,0.5607031288072166,0.4797055684968178,0.43625464885068715,0.44143367612432854,0.39469511994789896,0.41664579401975854,0.38030611316563157,0.38864462759611496,0.4125829206468753,0.5114190831123332,0.9998131126121351,1.7566773318018227,1.505129803952248,0.6325056764511625,0.4283120797570671,0.42641345731772384,0.40494911860610155,0.4159598478249545,0.42443119141936736,0.40035000671045456,0.4216205625013349,0.41729434132406606,0.5029533934951581,0.5671345602964918,0.5075873572492818,0.6780145078312527,0.6523160544657378,0.6374693189230657,0.45862987524466753,0.41322163621818164,0.39103483235278813,0.39418246943872265,0.38292020610316385,0.4158403598297789,0.43078497840456986,0.6721938266641108,0.45881844958414175,0.4838940625093704,0.5955058219388264,0.378927357859493,0.4099159049576228,0.41041909329815873,0.44620762315200513,0.5090273288413534,0.5700654005657939,0.7412608024418914,1.2022417064377902,0.7756195027794796,0.9980053966338921,0.9799076609525996,0.7326159821908349,0.7754261048523539,0.5018746619073119,0.4752111960472786,0.4963415137047334,0.4190981036088132,0.41905290748188667,0.5202518530577955,0.4153928078111221,0.4567489690480913,0.41328332445965493,0.44116195477945325,0.4977959372036474,0.5131771966997432,0.5220480453834403,0.5271860096230397,0.6076708461722208,0.569992114065294,0.6313667840772698,0.6651063619277797,0.6828832884114642,0.7319732874022776,0.7467383790737858,0.7322737298861176,0.9062293776944536,0.7137641302796591,0.6115729640467408,0.6705876831824138,0.7108368026323992,1.9138921253737722,1.0499525746515572,1.541447637690118,0.6770104754117481,0.641787275974127,0.6998580859088437,0.779778073817052,0.6031945922065199,0.5055847072686774,0.6273333199109189,0.6462450126763808,0.7362457954009746,0.5156185666668263,0.8732520790859768,0.665504076575052,0.6575261758487017,1.0720770300388385,0.48556262507240594,0.5142111822990566,0.6095634589703438,0.6816392673390378,0.8384806628383463,0.8706715764790199,0.9103529069141552,0.7297160867462539,0.7176579866335421,0.9578816873463436,0.7953562809823205,0.6984896576997593,0.8922600253730563,0.9632290873967168,0.7259978603783159,0.7883845761227666,0.9686704152235888,0.8821050501335957,0.7851765047538429,0.8260940212942143,0.738785766988181,0.7057277267697398,0.646427107984092,0.628413835337144,0.6547640555920506,0.5666176801031112,0.604607915310887,0.5530461334682003,0.5994768073568856,0.5241902229526205,0.5562375656150548,0.7056311523580848,0.6656542979833922,0.6084775649213587,0.6524338754217829,0.9139882644880575,0.7736778977186435,0.7211730187895784,0.8987286608474172,1.1982455803735248,0.9149459927107847,0.7981764202540671,0.6405486170149054,0.5942448703430188,0.8655286012617975,0.7773133842537991,0.8267603515662728,0.7158198154137957,0.6164246351390569,0.51449296183755,0.41457932212686,0.48824435375470276,0.44964348154407396,0.44327490347885756,0.6921686133660755,1.5291619281752968,0.4795704153275537,0.6123732085218101,0.9065309022408767,0.8486191234529615,0.5728200274961103,0.8180744803002443,1.189182830046059,3.3900508166176424,4.429063644132326,4.818700274274166],[0.4970358176040707,0.4439296804406988,0.48467706098529506,0.6396497518756779,0.45992851008754143,0.43084960251220367,0.38890031609887754,0.4207716651901701,0.40037720757349715,0.42158836446015174,0.4830337739802287,0.5862417975345792,0.5183504513534553,0.48970559404030484,0.6327719183061916,0.6354797042628022,0.6052100537908395,0.6888230067982267,0.750963994770938,0.7202668696727434,0.8726275449136044,0.8367552034288895,1.0454459066322475,1.1330767899952507,0.7956848994648018,0.7732494564518418,0.691059279626942,0.5970380228036715,0.6263049698656455,0.6213423033707104,0.7715894223648605,0.6907083325475831,0.8950928780576718,0.8841911493997194,0.7536585469520115,0.6927292350065797,0.6553728946737133,0.6571395326260677,0.6227869513320039,0.6335035641346081,0.82860100651628,0.7257679646138783,0.7610645332738837,0.7990627621223172,1.0640943161051355,1.6304329591015418,1.6540870255743574,1.1526811778637918,1.2864550371947763,1.5017951134983125,1.1854681097268176,1.0608225952289136,0.8897277683655661,0.7905006069839121,1.473723262165936,0.9347458994220917,0.9291919330438443,0.9861805547797666,1.0587764892928972,1.0849034721371138,0.9544209916215355,0.9772052779747258,0.9282582810804545,1.105652091251044,0.9114121340595989,0.9034196472193852,1.0600694645090556,0.8188872492847311,0.9044487003585047,0.8444255139711276,1.0001683530594507,1.266411593860833,0.9879275326994729,1.1140610234616848,0.8914536095156432,1.3408542995794566,0.8607732587373436,0.8577186349428022,0.8053724427441454,0.8412058608365294,0.7772936150238785,0.8188829288850263,1.213808215109299,0.6769838543771106,0.7488074025566068,0.629558440492207,0.7051562075174661,0.7895239493721348,0.7471609056079123,0.9247486847411827,0.849194049273505,1.120074271037699,0.9641664404539987,0.9023844937412154,0.7989839665242068,0.8901731768906923,0.7851423933871456,0.7640125298045634,0.6872850052364601,1.003718213078655,0.6822748505607426,0.6923755517775275,0.5984236861137976,0.6115136999050012,0.5755417960788985,0.545792872252245,0.6582203567783466,0.4555199915541752,0.4498867191625113,0.7297746964775703,0.40713298527710834,0.41929539427373996,0.41479747580806703,0.471972997411425,0.5076520233090377,0.5437588737570864,0.5629541832152793,0.5780000582328998,0.7191797668811315,0.6588332041178623,0.633250469347146,0.5832213792498095,0.5764169901525115,0.513773983063107,0.4440801072689791,0.43618917864824813,0.5106119503872578,0.4432899763127955,0.4383681835809554,0.4612682791048095,0.43793292046019605,0.450577812959104,0.46418349198849934,0.5643889033423992,0.49129143324173846,0.507154994802063,0.6275975397082638,0.48487349914498307,0.49930688996936806,0.538122783486194,0.6590615999901547,0.7799442654288903,0.6500086210436092,0.568693443770816,0.5647216194854687,0.5821085772643593,0.5124182856924863,0.5381965514258173,0.5131008588014485,0.4912402382404881,0.520001345338463,0.5994517657024786,1.0566211372702747,1.7721587080963095,1.497507787947938,0.7593031594325756,0.5707051204895048,0.5636939240752684,0.5608651527633701,0.5385815999794056,0.5433888496161119,0.552565698537255,0.5379200008341436,0.5456638855753568,0.5700428736650436,0.6518835213914239,0.6046745615386279,0.7405556854142257,0.7118651806548597,0.6943317438456279,0.5468308021982837,0.5177574194741436,0.506771298615301,0.5064598885452353,0.5337074376691823,0.5571323755209882,0.6000954413912544,0.8338581551075778,0.6308468843342705,0.6578608733487616,0.7045511647546191,0.49477509065872444,0.5178920111599589,0.5007883311106005,0.5394004878715032,0.5903445977836592,0.6673628864265984,0.8290188876033626,1.2070905979893582,0.8446826168985023,1.0620442460417836,1.0738610911300548,0.7912330292371152,0.8493594672326401,0.5804191976185055,0.5246267947247448,0.5243311658876687,0.4723536628411773,0.4581096625126155,0.5218508441385917,0.4335367785887437,0.4823285274559244,0.43840173260920545,0.4683114577702589,0.5261680708376852,0.5436231731357762,0.5550680072969939,0.5493581004155841,0.6393970185484381,0.5975005998805001,0.6583483646710865,0.6891585888097702,0.7024044960219388,0.7709111391409217,0.7803837600881038,0.7709100184018052,0.9393394570609589,0.7474510441560657,0.6481102831094835,0.6961566846062244,0.7390551591100368,1.9326781747480264,1.0599561206864179,1.5709986058103986,0.7049645503883479,0.6984184926156342,0.7626232676621809,0.8369283247707632,0.6372197838708586,0.5341313451828258,0.6350485547997132,0.641389214925103,0.7164959315699011,0.5100926379551843,0.863150976673036,0.6616172674269205,0.667935756731684,1.0737117044831488,0.49902833157955834,0.5413210106965985,0.6540605913470021,0.6954175760992879,0.8731426230114157,0.9110018273251,0.9519398401425097,0.7673146501574022,0.760756613364134,1.0143265951448293,0.8253491923978864,0.7379602175915534,0.9399731592050391,1.0028870728557138,0.7557552416193389,0.8230897169925063,1.0080347880488976,0.9084909011894982,0.813961909091297,0.8600962344705075,0.7762804141726017,0.7407720116861308,0.6816571688025131,0.6649092627374363,0.6827028811014831,0.5929101187697217,0.6266590566792475,0.5716100946968872,0.6177326848186347,0.5479523848759539,0.5693496418181312,0.6917722458845845,0.6693937148172522,0.6286715445040919,0.6592708650341998,0.9246463509242367,0.8010221656030455,0.7476511564131636,0.9323195099209551,1.2422741814210525,0.9353689362987336,0.8357540332604098,0.677134918063805,0.6317465467734771,0.9052821576744979,0.8098614360842232,0.8601078492784632,0.7460163541143511,0.6429401512828207,0.549662050570316,0.4526482922680139,0.5258972366723562,0.47583213317333944,0.4931038600764434,0.7350213042718565,1.5877398495709558,0.5205822155656666,0.6514231534610373,0.9444469283105226,0.8366714345067889,0.5956890013521421,0.8361008142031051,1.2703515473666465,3.5031634902766426,4.690171528758783,5.202057834755196],[0.4704961321468725,0.3755148896298397,0.4434352800555316,0.5860724505013976,0.4105482577035473,0.4078501624009175,0.33258500509970335,0.3968951630091086,0.36321874285675587,0.36366343196339024,0.42930977088192823,0.5486310198694433,0.46786221404269596,0.4437242105872337,0.593696346519063,0.5942410310863073,0.5616650828646921,0.645970795932601,0.7074749409691892,0.6660787911206628,0.8519367028653774,0.8066997737441051,1.0170478071021298,1.109817914075385,0.7479100849547404,0.7252019452835929,0.644044409364769,0.5461724230696979,0.5837838253917477,0.5776180688129979,0.720000912501434,0.652670413874818,0.8420315384534134,0.8210003568673079,0.7053184026456109,0.6501286240058737,0.6251213645085417,0.6131561272515746,0.5846823641070527,0.5910557689186918,0.8109446249902231,0.6751131326736678,0.7164276251161196,0.7376255988161127,1.0011568558456014,1.5748488225704729,1.58416708871619,1.0941316526691274,1.2626258257669558,1.464615669258218,1.1269551122931099,1.0012641438611953,0.8068798601288899,0.7143740403725668,1.4767335640472354,0.9366451588758773,0.90277995330215,0.987585205684199,1.0841797621930511,1.047674474873737,0.931421592381812,0.9404392748493268,0.907374912974063,1.0743799227504365,0.8775537762154486,0.8705293444851772,1.050089766077009,0.7864864105336679,0.8817044296023251,0.8048183886309429,1.0045747465375272,1.311086533707421,0.9615115499849858,1.102827238266532,0.8571279929780361,1.3195063543725243,0.8330609682683602,0.8545600640950008,0.7855766329904822,0.8108676869864613,0.7600956517230298,0.7981834654311664,1.2182699573336273,0.6747360864349373,0.6913282618438265,0.594455029754078,0.6670332369070077,0.7462986702809553,0.700256877201737,0.8770207141062085,0.8036963247578173,1.0522925415873732,0.9146075642566148,0.845891175295554,0.7375502834955747,0.8174793356127524,0.7378889525060536,0.7154193237816795,0.6567481123257782,1.0013898558697638,0.6714416682891623,0.7073440058325068,0.5835293653707704,0.6304743509181141,0.5868089843432034,0.5367473438113941,0.6967206914736452,0.4258282322195954,0.4570902283662015,0.7593012153868999,0.40411461574261154,0.374993927629721,0.3722076948883153,0.4178672952331015,0.4567322160498673,0.46979484789829684,0.5021788345044645,0.5214510675669727,0.6885572648247467,0.618626025399035,0.5872142839274206,0.5248777089944098,0.5035853303287232,0.44418128639527066,0.35867623602571075,0.3426772498239171,0.48318200750651746,0.39282466226375123,0.37873643242091115,0.4239151717487039,0.3945807256370837,0.4071361489488074,0.4099332103714674,0.518589520792687,0.447461032448471,0.45769997322541484,0.5896749567690278,0.41287530998715344,0.43142648975492887,0.46456730362580917,0.6232236689003717,0.7488249426412508,0.614486832532519,0.5120136779899551,0.5087740148075293,0.5325000468572844,0.45552690366129484,0.5030935532257982,0.47699099026919795,0.46070923780058193,0.5122960703382091,0.5807906189168145,1.1180333482902765,1.7875454542157736,1.4379952714983482,0.759293187801048,0.5628390112514016,0.5686280718791042,0.5486680480431575,0.5271533716371901,0.4903544167333971,0.5191108433031586,0.47986959919549455,0.5023855754672188,0.5252622314925837,0.5968593311596633,0.5343567469147519,0.6706290813087278,0.6520280133568218,0.6398084060867155,0.4863985544811893,0.44495822155114395,0.4563376529268516,0.47162795909562216,0.49958940199025365,0.5460493828591318,0.572126654328254,0.848810624791192,0.5969917144633952,0.6274033198028768,0.6682949898259988,0.4702639569004339,0.48285313072193403,0.4514922657170497,0.480434009000312,0.5576515344705116,0.6371668879341792,0.8005228677374092,1.1811775187678695,0.7849711929575366,1.0210178626138144,1.0186965241897254,0.7387553552033598,0.7925720394709509,0.5029012509996362,0.4587276225094252,0.48409333203085625,0.4235261044694359,0.4374069074741963,0.4945010145457232,0.45272866181801485,0.5198374633417108,0.4540074863173501,0.47070399237637534,0.5441236692574785,0.5458991710152511,0.5606338845281809,0.5571714238345822,0.6354170041363582,0.589989405528749,0.6571604282619812,0.6892098807453231,0.6866462963883813,0.774735197636522,0.7944189831961379,0.7651375826558917,0.9605897024835076,0.7577798956017695,0.6557493043657417,0.7169027791334371,0.7632466216985057,1.9809355450468598,1.081522710850475,1.5868505372452557,0.7198990209789963,0.708618022881634,0.7623534778010976,0.8328423545925676,0.6451492375247638,0.5425819523281752,0.666088277367487,0.667259346675887,0.7601068154660684,0.548248022903394,0.8687683138362756,0.6356929619354572,0.6531904691050276,1.0422710902356385,0.5247154970538438,0.5221100790336333,0.6671470249831546,0.72972903100473,0.9111540919699282,0.9494843709265042,0.9951281456582113,0.7992467495238477,0.7864435534542659,1.0685077134821048,0.857947492153107,0.7387720705202021,0.9373975980030409,0.9896874380615193,0.7453330456468213,0.8274576315142427,1.0070457022841974,0.8865077216685662,0.8031577202286776,0.8619521955448018,0.7719618702182347,0.7578882529882386,0.7019240480216751,0.6935229799765028,0.7185104266939031,0.6090414857206269,0.6520187068317227,0.591986950522216,0.627538922974852,0.540920301064421,0.5792780839469878,0.7190662207357136,0.6849535318859092,0.6136447469607625,0.6599694324457517,0.9249997313372162,0.7834251277962643,0.7468942650432417,0.897381238678301,1.1980658321738733,0.9709158083856929,0.848308353975509,0.6899462144853722,0.6461573066577199,0.9128364631294134,0.827610409358127,0.8641881953643806,0.7337852195941275,0.645310502546144,0.5295898588772175,0.4290762970283352,0.5091169639009776,0.47580557316709543,0.5068653052487531,0.7514269396699534,1.5846860481010574,0.5122983091198172,0.6380432802667036,0.9368233251270995,0.8370022603344969,0.5905501055117551,0.8221509235918126,1.2278682565616623,3.436725370993494,4.753884189982676,5.2616787620396686],[0.4742883818442965,0.3690342751238871,0.41462961823948713,0.5525045898841484,0.3747418347390819,0.3811226721838761,0.29308137060933,0.35095902329700024,0.3137217326415297,0.29359623434514837,0.3366091953714276,0.44181893192761784,0.3601877555044602,0.36781092717981434,0.493946188029169,0.47181944744864845,0.4746603603590742,0.5436860339265178,0.6341126875362327,0.5716387209981405,0.7481024554586277,0.7069080932369239,0.8564012248811996,0.9817419552077078,0.7183892225083767,0.6749249661832973,0.5614705798510516,0.4770945906508792,0.48888491669804784,0.4724714111906539,0.5993220633297954,0.5209672213530935,0.7092800792206896,0.6839738195918769,0.5688368124966481,0.532971152997177,0.4966388694423872,0.5221131412971193,0.49073747718181226,0.5053451776204515,0.7247631052328344,0.5968198067911767,0.6218694039640668,0.6965136611038922,0.9550015996252929,1.5779011687139108,1.5984058316210255,1.0543690724498398,1.2476823077906822,1.5131263051692827,1.1465506801043963,0.9711504892386744,0.762120315938932,0.657306329689466,1.3912622923902431,0.7864784760694441,0.7782001042832329,0.8710503115433813,0.9637331407437145,0.9513637989208825,0.8327374865532001,0.8433562895207944,0.7831983680195191,0.9712485572097661,0.7676069143071944,0.7648419707588563,0.958026967016308,0.6903300592922129,0.8021854938701378,0.7308613100487715,0.9429804530414304,1.2405716545506165,0.9036621380310957,1.0219169226293645,0.7670391617858526,1.2124168720209305,0.7107857200107842,0.711496548967413,0.6471828272503841,0.677149175841446,0.6291136896734705,0.6990904834354902,1.1088635830588993,0.5503429933507327,0.6222768152432694,0.49056686876221295,0.5610231995458727,0.6244745753010438,0.575187729247331,0.7414111254462751,0.6773572771300658,0.9379009182704234,0.7821521440436313,0.6986272339674584,0.6136266237512942,0.7041751782952537,0.6397884246245812,0.6067387749294496,0.5630801584060925,0.9345517974276738,0.5713102228575864,0.6479065327387599,0.4788282173346917,0.5251053332312332,0.5153938672530797,0.4730626112022152,0.6738546522441408,0.3672621214740915,0.4189811963961857,0.72653519600802,0.3723896844401313,0.3122478708081448,0.3141322021707701,0.37324066204960005,0.4084066276800231,0.43239225361185957,0.45584777361487194,0.4942271106818157,0.6273101132936838,0.5642840329125398,0.5406793457005011,0.4839139280938425,0.49112527475585155,0.4183937503168314,0.34203376040197975,0.328939841370256,0.4525258879310215,0.36140571931516785,0.33700764469686834,0.38140871207114313,0.36982829916160703,0.3881706344262496,0.365944947564091,0.4649837585115163,0.41373957309355347,0.42888272751481243,0.5886519070365324,0.4019381603251894,0.41866914214898693,0.44486551907323474,0.6073720288542571,0.6957749626796773,0.5587924615946385,0.46648429044158457,0.43012545668530566,0.4542823025767468,0.3901607295204671,0.4190213439903026,0.38633068815893995,0.3990314732967423,0.4571758875140897,0.5371505269733464,1.0852673698203974,1.76379785118277,1.4424987548433352,0.6970056646345322,0.47784244510054197,0.47755846782995837,0.43910500181957574,0.4428966342222086,0.4251133429961582,0.4271150931168648,0.4178216776887246,0.4208959730605805,0.478321374557442,0.5696705775334342,0.4988081275752436,0.6693479703768597,0.6614116491288411,0.6452795219050486,0.465259379810558,0.41375453788721545,0.39302794269554303,0.3835890373225971,0.39466044033720243,0.44642631567276025,0.46001059583570836,0.7396399086230775,0.49020447659430955,0.5266781766446176,0.611202206370287,0.3898626831577392,0.407034790704269,0.4016340468513618,0.44675955701722864,0.5103995768916864,0.5619028796498424,0.745101025653726,1.169127944334111,0.7597981391079365,0.9945370561557211,0.9538673031448939,0.6996014616184705,0.7333626030934811,0.47031570808496315,0.44879659898595126,0.48605573435635074,0.40460243381211886,0.419449420401811,0.48473928049505466,0.42634695989067206,0.4822608979774869,0.42525639404813753,0.4495768835106586,0.505658572164543,0.5055055265792335,0.552394281441535,0.5394654124681671,0.6040129390204305,0.5661098506210471,0.6422814383460964,0.6730590189648374,0.6643404382090704,0.7463084153271876,0.7831090168269463,0.7689812460512816,0.9400458906780209,0.7538462521212824,0.6566579474850063,0.7109320870846838,0.770728173703814,1.933319563647338,1.0695304949428184,1.5477363937912012,0.6788863932206232,0.6563287987042744,0.7074798877285003,0.7751561878334862,0.6140552335504587,0.5087940398575868,0.6329749404259011,0.6331138122168035,0.755292933239947,0.5298404939282496,0.8333872018502632,0.672701623022569,0.6623169977030061,1.0771779550470921,0.5297129262983603,0.5029795482272396,0.6108805234468294,0.6811581295161147,0.8533875088738029,0.8945437172668537,0.9236050075934202,0.7481999443415999,0.7290594722656798,0.9929264847300641,0.8031173204870398,0.6866580012947822,0.8891517799993641,0.9547434716337848,0.7179608782546247,0.7950183731652796,0.9720709146207734,0.8710981114281147,0.7833759399852152,0.8410171153562863,0.7499427771262266,0.7198440967800116,0.6570351354551918,0.6400196134552032,0.6794922211484543,0.5836457109534962,0.6162939796230243,0.5718064602226027,0.615470292144936,0.5245889413488065,0.5747282291026321,0.730357500198798,0.676005045273226,0.6121529341689749,0.6671884380550582,0.9435305928845912,0.8030336452374264,0.7634509189020393,0.9086036981961145,1.1929083509280034,0.9848426197162707,0.8539561437155233,0.6874775571969378,0.644111682194822,0.9221216862827917,0.8460832326982716,0.8922035428154148,0.7582726356272356,0.6587870162168635,0.5200566729762148,0.4127516594891865,0.5087945764104868,0.4652930374083211,0.4553760203687498,0.6905330590774246,1.5463093058534296,0.4593318099731225,0.5861474970840195,0.8616733124128028,0.8222722471489208,0.542971347567395,0.7855091482594779,1.0918759587776836,3.2131161419812364,4.384005007431651,4.745226651233774],[0.4706023379197434,0.35145253523641623,0.3945376264074889,0.5264599585314497,0.36214923235272317,0.36679860326440583,0.2808533671650323,0.37220053111040113,0.31847455787640394,0.2871746411908363,0.35410969487522276,0.46679643535642656,0.3624847520311355,0.36771652279854333,0.504451941620533,0.47085164979127636,0.45876508525659576,0.5172951969645959,0.5887947922054223,0.5380439225581015,0.6904967255867549,0.6461424582244245,0.7691010677266942,0.9007962284786417,0.6811770524505243,0.6277714862124876,0.512901601964227,0.4380362756083499,0.4693600641962589,0.467750603878989,0.5749081751816927,0.519183869867476,0.6758818919048792,0.6451393281272986,0.5524627849106657,0.5184593659677625,0.4965346364930513,0.510801240252261,0.47385633277781986,0.5051835517304252,0.7475960763877973,0.5633025269889138,0.5884846041035802,0.6308382167019148,0.8870609019898933,1.534487223283053,1.5111857271572904,1.0168159411432707,1.2221668433261494,1.4466839530167217,1.090781872565095,0.9063899029272531,0.7257256558877923,0.6269697280477697,1.4455442216631316,0.7897301783049976,0.7416301048715999,0.8510140713139578,0.9665932951026434,0.899131335105874,0.7835106303235939,0.7934281257217111,0.7229055242630305,0.9044646310784686,0.6992593274248237,0.7070540622567545,0.9150432448770404,0.664259462737066,0.770916670088448,0.7173513473202938,0.9393814569308613,1.266695106550264,0.9015041269827638,0.9852750703140595,0.7409206308625476,1.1737282325950449,0.6642806237436205,0.6772162835428922,0.6180800950925246,0.6451875180089437,0.6297799765402503,0.6989518105101088,1.0996165859069293,0.5764405081068994,0.5796055904349957,0.4928018455121081,0.5500804393293635,0.6182065243596229,0.5495524853316933,0.7118047050636522,0.6538093510841261,0.8713507667032021,0.736048584487694,0.6524371795627237,0.5925731750531656,0.6761368338504987,0.6358362248700173,0.5930134167815893,0.567757327661971,0.9093716584974055,0.5800277125001582,0.6837320629328097,0.4900446575196848,0.5596644720943466,0.5527822070525101,0.5067458543308242,0.7525453409031585,0.38591038069890776,0.44581329018565213,0.7520294815230583,0.39601275711903466,0.32457389120478736,0.30015912320779,0.3521390130911789,0.37470862269224875,0.3916561683161777,0.4082913593266231,0.45093138597365784,0.5675098726306451,0.5238905513554608,0.49513032000103435,0.4408592823376841,0.44197729397972974,0.3887734639678333,0.32140120837079106,0.3095131683471246,0.4351046384547569,0.36907048986308405,0.35051045273956577,0.4071302050096116,0.37988421430162717,0.41245691932085027,0.37526968360280233,0.49617225786827057,0.42416848323802603,0.4333393594263111,0.5886625455397604,0.3894827252254813,0.4015451429600218,0.418144696549168,0.5719946555088267,0.6269827489601271,0.5211632232926177,0.42770496788933665,0.3911123685462807,0.4299933879559436,0.36400604118892504,0.40540697701273365,0.38574518576453787,0.39879784468088614,0.47711362354839226,0.5523027555859248,1.1298683060971466,1.7645831392227525,1.3869411077562444,0.6944407047764154,0.4952590443859151,0.5000853917320529,0.4467962314058352,0.45936083126803146,0.4077126789695671,0.40116448961512513,0.38627300893441807,0.38481877080458277,0.45547903976604825,0.559454950216905,0.48435900951786787,0.6387844343121798,0.6631071295753459,0.647993386516258,0.4671598215560183,0.4049340068574303,0.37924049327140263,0.37841690132361083,0.38525733568346116,0.46210897567082504,0.45970604350446076,0.7642879793364402,0.4838874800348251,0.53825885999042,0.6071081934024737,0.3984351276458563,0.40316144926923414,0.38217683918986756,0.4249218102931351,0.4691568186997997,0.5375989094504467,0.717441283420878,1.1265336395319654,0.694581058067019,0.946571902001258,0.8972220533033427,0.6878877575547832,0.7219589725743933,0.4593685422882954,0.4443089461146097,0.48239383452591433,0.40975262605408647,0.42034248147602227,0.4727798680342449,0.443598425160114,0.5130519144440643,0.4394393643007277,0.44547265939543834,0.515991983317008,0.5051610508865763,0.5286079973694113,0.530863267070505,0.6115032812203828,0.5605064751640336,0.6337994275143184,0.6741735053750406,0.6678990270497148,0.7522092992790109,0.784959175343445,0.7538254544980852,0.9313430976932949,0.7416734944802585,0.6455146672017702,0.7132817283795758,0.7782454078406841,1.9670620257257327,1.0889219610018568,1.5744526411002961,0.6992229012247634,0.6921155523824095,0.7433550332529724,0.8229378632074325,0.6412000578166374,0.5365427670844493,0.665528418209144,0.6519513580216727,0.7732638924660838,0.5478399244506227,0.8288660181689477,0.6446213129868188,0.6427715707834483,1.044928229207378,0.5416443684460556,0.515243623260176,0.6359233811894476,0.7106497894908689,0.8768670933155659,0.92814715816045,0.9451452971240846,0.7806879782072809,0.7569028527236041,1.0241645786452058,0.8309866149673165,0.7028431033083394,0.9029288659487035,0.9633266804257624,0.7255873809255182,0.8080016658308188,0.9786963149792521,0.8698695086269058,0.7928159226249297,0.8529448000046754,0.7597725941741447,0.7400151079001651,0.6803795876640559,0.6664302580961063,0.698917740232537,0.5954380380516068,0.6310248794446081,0.5838896376463714,0.6195945890567345,0.5228637270106556,0.5798841922502195,0.7088276639558891,0.6571638601564966,0.5982356314550723,0.6533745722390174,0.9039469889042222,0.760744907388405,0.734493446106595,0.8497289310273969,1.1362543766298696,0.9811317783793382,0.8328826309434862,0.6705825735558898,0.6298471964687271,0.9094566714410653,0.8128821634011785,0.8433577652677293,0.7135717255168247,0.6322071173520055,0.4936701752435119,0.4153906580115593,0.5182952041264622,0.48141273940362955,0.46459420693187237,0.7007672375934761,1.5500685524307949,0.45444783296391317,0.58240328391049,0.8413019761691796,0.8103422726991534,0.533872865447603,0.789063346096816,1.0871146009793147,3.184247909198542,4.420393761298111,4.792774296506406],[0.4380035619999128,0.36421574190817785,0.41378811422501255,0.5453001199682386,0.38140418421854927,0.38831774565043853,0.30202862269127984,0.32482312284701453,0.2932140156873468,0.27083413004985657,0.30570228879881634,0.39617974532336164,0.31534828965365724,0.3462952094220273,0.4569080401750313,0.424292063112414,0.43196874745968306,0.4834063356504611,0.5915513186306495,0.5160580881397383,0.6579758965851319,0.629023579349853,0.7586977741470332,0.8943366169959355,0.7489113735224373,0.6596619093821474,0.513219543662578,0.42770647108527593,0.4320747375783399,0.42039735539880724,0.5150010678666452,0.4556884528926676,0.6043981832358768,0.5750544407342099,0.4735185622063008,0.4625778139078085,0.4244972936304068,0.4717269595845774,0.44640825887549734,0.45414786137922863,0.6786064256912359,0.562057303456789,0.5603356683802723,0.6910438447054684,0.9376258854407756,1.6035708720232362,1.6528954481365654,1.0224103496592807,1.2549358683124974,1.5957498242961083,1.1850964502188586,1.0175279823475467,0.7729588486601595,0.6610993784976726,1.3272155804119758,0.6650409323419376,0.6997222728636091,0.7546673428880689,0.8607371328943935,0.9140895524498801,0.7793922178603446,0.788216284400084,0.7064422525141603,0.8769639256105171,0.6855879980690807,0.6829134463930038,0.8755431518559004,0.619924843474272,0.7367740738042015,0.6923440843166594,0.8742285464014954,1.1571170377732887,0.8629471404490193,0.9763786193780356,0.6984373061668046,1.1090276374820467,0.6237423843889779,0.6121085396943099,0.5519323582995993,0.583759330700384,0.545757714468397,0.6518740104989802,0.9639391448517658,0.4467609074660213,0.6548582014362334,0.44505904602791246,0.5025085907607275,0.551595692804258,0.48776997239853415,0.6341382122533199,0.5928254126669416,0.8460883240048899,0.6791109548696395,0.5842662681121559,0.5302764399735854,0.6279162212507187,0.5759822731710534,0.5485292594094803,0.5165933282896505,0.8785875196207995,0.5067728206515256,0.6130535102218839,0.4172382882081586,0.4808935561319311,0.48654852557233413,0.4559923686110451,0.6523370317396321,0.37737245420154564,0.41464435827732576,0.7066628223900591,0.36850637076758386,0.293714171815165,0.2997832633640218,0.3376337872289406,0.3632187103082221,0.3940913738100711,0.4085203292953864,0.47157807629153775,0.6007870676149291,0.5210411551201697,0.5007997549860136,0.4352511255235287,0.4849331041167463,0.40289554168312547,0.32892275753532657,0.3338887199414302,0.4661571008207055,0.3716250362670177,0.35339708924798685,0.3859029934387418,0.400594400424884,0.41265006012162275,0.398040740222594,0.4622957233444617,0.44179131379613845,0.464033169788996,0.59849209076657,0.42677209164919616,0.4365552443941453,0.4434619599193608,0.6255225207104524,0.7108480887759259,0.5335728518952235,0.4394366544999927,0.39053789367789116,0.4118798143532549,0.3500283081894908,0.3849792655824663,0.341193898896954,0.38186440138995414,0.4297727373076926,0.5125073277723667,1.051044121133678,1.8013347558471047,1.481163238539933,0.6474307244495551,0.4234771513501473,0.42597405907215025,0.3762433562441457,0.38972420721670825,0.4080692253150911,0.37471367981060116,0.3911261450824824,0.39531754147314874,0.49257988455322643,0.5838231598317573,0.5194336660811334,0.6942155426968245,0.6928886795135729,0.6701355262692746,0.48945638617857073,0.43029382231650043,0.41065869189786364,0.3840044178457912,0.34604078702473035,0.39215330605805354,0.4092868421682553,0.6604837299824681,0.42176959540677733,0.45658599555328994,0.5600400811368208,0.36597511045298764,0.39481178883302215,0.43225257159503944,0.47557921543567483,0.5052959300753872,0.531562858665218,0.7155161854346904,1.2046938178924922,0.8022343400836852,1.0299866994850135,0.9785935042618411,0.7425689552641305,0.7315418460474054,0.4840260795141073,0.4907993294373638,0.5315936529993585,0.43268852763970195,0.4484738221702889,0.506404430815341,0.42537025869209083,0.4584652088077867,0.4181572845213242,0.4650514730730352,0.5013773628579762,0.5004077678343564,0.5647007342971604,0.559338086467654,0.5918398180910953,0.5669572619685337,0.6443607246836354,0.660264970863447,0.6428779044853974,0.720217761345752,0.7698849203372256,0.7841480059856106,0.9407720159562831,0.7887635622918437,0.6680530723686336,0.7154342306232413,0.7812127399055399,1.8775982353396903,1.0945481760784326,1.5163616945516976,0.6666830425650622,0.606702876902,0.6640155066842652,0.7267220791376562,0.6074790304481149,0.5061887944522027,0.621313704801243,0.6437801775797635,0.7935436556704133,0.5598245981759551,0.8364229972587457,0.7319131120487461,0.6788307041114354,1.1046937906648635,0.5412454853013362,0.5104850742282779,0.5802115679520443,0.6525839347065268,0.7971303061906819,0.829121230503203,0.8505048162460948,0.7064004043957114,0.6752268482910632,0.9332173062813952,0.7619342270741059,0.6541106474589276,0.8409924354429495,0.9199425204675294,0.6956080358500244,0.7583901424650676,0.9286342297161132,0.8575480447736777,0.7574502023058126,0.8099355109909683,0.7235246480759477,0.6888929700468192,0.6202910085263554,0.6039417860066744,0.6668772285009104,0.5762253388684718,0.608801487272503,0.5809755994531607,0.6279771960895376,0.5391329145193483,0.6016056036400126,0.754811284360437,0.7017639542545181,0.6473667862827923,0.6951987804766085,0.9661653934619567,0.8237339149928868,0.779261927654949,0.9321791144097138,1.201761381511445,1.0326409566051076,0.8719117425164876,0.7126327948538465,0.6619097115659576,0.9131949867495561,0.8568089823765169,0.9095486062662296,0.7657281691922483,0.674680462498155,0.5283167796654166,0.4284557015537466,0.5280710016669109,0.45035507136324887,0.44190732140829025,0.6552349893295927,1.5150623084631738,0.46317658398866984,0.559817642624861,0.8030309620071032,0.825803416037581,0.530089045765846,0.7581781464763678,0.9334515621999557,2.932842581530142,3.8555161850483475,4.017503781384264],[0.47026715327081686,0.40598739453856036,0.481361237627173,0.5336464705316581,0.4275020539605252,0.4173143597558436,0.31051233183295773,0.3515862694865701,0.3181215120826566,0.28913131463139286,0.3569302824205467,0.44343984913337037,0.3348578770809966,0.3501709785543634,0.48127309861196016,0.4290058106078983,0.40230961953955974,0.4595162066907707,0.5435391353899176,0.4849365735701892,0.6010051999116707,0.575628913756415,0.6678443107660613,0.8090708637427679,0.7180380531575628,0.6133015053394967,0.45755950210723856,0.40100837574909554,0.41702279579129126,0.41989294586312204,0.5135246299292532,0.47823823586259556,0.5984142498210998,0.5747494716543614,0.4913305645122211,0.4606154730495649,0.42701710235428375,0.45843727436572085,0.4131976451546176,0.4394280338854479,0.6986524527914125,0.511982686315288,0.5122126643477084,0.597689108323563,0.8548361594815237,1.5586658967132725,1.5554717821612931,0.9668956480394498,1.1979698397379694,1.4867075110573642,1.0773413441271535,0.8897909019537779,0.7235612642240721,0.5941957643058012,1.3539135906461812,0.6715396357815875,0.6373205690025139,0.7572355227008704,0.8884976035529961,0.8205590945354724,0.7141044673038369,0.7423709233735881,0.656072812437259,0.843892053382117,0.6318715184867901,0.632159273421528,0.8199434187987865,0.6079485854289941,0.7263458462001566,0.6909071840614112,0.8954858347973799,1.2087322814183175,0.8735466784093179,0.9494300428820305,0.6912207091169933,1.0875681974614912,0.6000877801160038,0.6085208769800866,0.543747079598005,0.5601754628865698,0.5665163817726049,0.6373682556753435,0.9815609010597633,0.48287755570082974,0.564830370458172,0.4304854785325058,0.4914744577618434,0.5452706615751688,0.4829529155272473,0.6521869909011727,0.5888881798535729,0.8060928696769518,0.6712351533964687,0.581182150718925,0.535011003889597,0.6292191302186673,0.5911606964011661,0.5538332928479743,0.5276195524068616,0.8402320036279264,0.5246203132517945,0.6462749832598885,0.436337267350627,0.496616208811512,0.5127221547655161,0.497348289942371,0.7725057530936454,0.4270248461362206,0.478120627398938,0.7436545444308069,0.43298103302206853,0.3388295591401747,0.3059827544939827,0.31486850927998167,0.33792326198032063,0.36990433768058856,0.38982939356508295,0.4294687554459947,0.5512568753164888,0.49124081657738783,0.4796670970137955,0.4205398002567916,0.43151131283148325,0.35988971002751685,0.31682660073704383,0.33333167649209433,0.4634272593400372,0.3943334329266402,0.37958735395396603,0.407677540179671,0.4232949550276545,0.4596409089674552,0.395802504722848,0.47431757213955394,0.44096703431731626,0.4502874714102207,0.6442178982849303,0.4183821818954628,0.39812445671846663,0.3986154210877743,0.5523301991133093,0.6022641590089031,0.4835411571452203,0.3811641921064481,0.35333669260448675,0.3853560830796326,0.3286983380408746,0.36790421505064635,0.34393608877856013,0.3831921183001428,0.4488674870472865,0.5020379842315508,1.1098033301443058,1.723981974566916,1.3059479303388446,0.6303412548208837,0.45332221624685054,0.44885501809688444,0.38972136113483197,0.41631803074448814,0.3814424322782668,0.35327221988416,0.36301433758072466,0.35799688088403137,0.44685407927951787,0.5502613828104602,0.48360818849929754,0.6608623574411717,0.7006511671960176,0.6840159807915576,0.4790372805511774,0.40231938209826223,0.3744081991606807,0.36531485821704884,0.33882669236693563,0.397986004513168,0.3976184076997997,0.6995073317981163,0.41593455409662605,0.4688379587839177,0.5826114790807478,0.3741388690595217,0.3844999565504099,0.4010331095156327,0.4334122149128302,0.4412816684857458,0.47218481300856135,0.663132172138694,1.1274893344912669,0.7231119898350246,0.9711136218424378,0.8416499069643762,0.6847804469610771,0.6999512616750139,0.4708199029302213,0.49458648135819183,0.5334917811796638,0.4573675789819056,0.4952392830217816,0.5345200293047113,0.5129965551599548,0.5508907748045866,0.49324241273870706,0.5488893456079427,0.5983949194397389,0.58039800868089,0.6245836017964947,0.6488229638068284,0.6895453930481488,0.6572411869686307,0.7414418652335222,0.7747961734284312,0.7433109453490576,0.8231063600100136,0.8887648697100822,0.8816071078880867,1.0686584811783542,0.8934868231984807,0.7847393659106051,0.8435708345951421,0.911895647209693,1.923248272288133,1.1876767077901085,1.6119980874001059,0.7810073659555915,0.7193287777893774,0.7679822625515709,0.8116883665039827,0.7331882807707639,0.627775356652536,0.7272893369056137,0.7098675013308999,0.8662239499537687,0.6331878554698014,0.8330992277142593,0.7933660850349391,0.7352748661026913,1.0639597861987464,0.6162919327308962,0.5552813689818927,0.6318174964012165,0.7320353328034438,0.8603315011433138,0.9226174431377672,0.9277594902659648,0.79374108967293,0.753130360123306,0.9995690673498969,0.8366548097220983,0.7237972782358499,0.9017411275926883,0.9723337927731428,0.7683087645569859,0.863989444347651,1.0265442364108817,0.949084507547686,0.871830645419871,0.9322957566448736,0.8415344581191577,0.8095796936536972,0.7427197603283824,0.7261802185476691,0.7868179880352787,0.6958794403505625,0.7271149822259922,0.7139579693370878,0.7514269649423829,0.6449993140172673,0.7193070246886429,0.8320699388674008,0.7851905660770693,0.7261033448060071,0.7729157011728595,1.0258744051694133,0.8800977345703264,0.8438628031676043,0.9413330697914811,1.1575034573924652,1.1176956174795443,0.9299810721219951,0.7851575243074814,0.743471906749704,0.9660446618563155,0.9004048649264418,0.9359020822463818,0.7974250373825033,0.7226367053991135,0.5518077930091145,0.46822729637192695,0.5586269611276437,0.510005329669839,0.5124036876612326,0.7258584788180946,1.5190290176387133,0.4997649066526188,0.6334967304815684,0.8414605176534957,0.8591519024641372,0.5925307271048741,0.833739443039263,0.9177886038931711,2.69869381323822,3.712792109595907,3.9192579601971387],[0.45492383440300005,0.3104966064302199,0.35158844729468086,0.42423527390662474,0.3471017388256385,0.34223329341215425,0.26231782707878404,0.3745978410482982,0.32510258638267964,0.2726742102189695,0.35187555127885567,0.4674931403843096,0.3317768360203534,0.30870305544654264,0.4473581381719531,0.40297285263872556,0.3724132725338729,0.4021539448002149,0.46833137521584356,0.4224750384568329,0.5252883709292046,0.5046095024576306,0.5913597788498381,0.7338877200429023,0.705263344370139,0.5641367430368197,0.3972190743314336,0.33759906912242776,0.3742293750235594,0.40843863525778484,0.4803669861929894,0.48793442201493314,0.5878866686396775,0.5566603340035454,0.4812027845511444,0.4332308238873934,0.4312932907503715,0.4185813918502469,0.3698124185735876,0.4125783486266568,0.6785481417336336,0.4624857371082098,0.4562731016498684,0.5697331675025691,0.823165034988789,1.579839430644677,1.568503720177658,0.9540294943909274,1.2149831523552073,1.5197015578187576,1.0833622029417853,0.8868831359140804,0.7293797379646052,0.580652513979575,1.3243715942062517,0.6218703283386575,0.5818167544214886,0.7029678615386789,0.8397074728087816,0.7803584798897872,0.6589790586702206,0.6879016979240357,0.5871974658703264,0.7499995456139437,0.5553234811295557,0.5559515161792259,0.7742409114058835,0.5589125861456328,0.661313779621093,0.6417591912852096,0.8538477359901402,1.1604418562038754,0.8318009360683942,0.8766506586848456,0.633159473017175,1.0172933547082714,0.5392498531790377,0.5635479433592976,0.5080891387526448,0.528396757472068,0.5594203620661882,0.6293094932574084,0.9295695379760653,0.4607251590331912,0.5494727867111033,0.43116713520313366,0.4583610218661307,0.5482418992993324,0.44375732746479346,0.6244218612225712,0.551404013180949,0.7502078629198267,0.6210240673888919,0.54808594630143,0.5104287719693268,0.6102653373461541,0.5674131420084093,0.566374345450683,0.5589352461636296,0.8627586730744456,0.5710883813804661,0.7058975028866061,0.4738774289578407,0.5634965058126649,0.5673676251957911,0.5379230091161502,0.8607256256426212,0.42846648313834895,0.46549637550525264,0.748570064200833,0.4270313512456467,0.32895259386246645,0.2729424394073617,0.2842326755788764,0.2907315921342122,0.30616009089893004,0.33573373215357083,0.37079863722362716,0.4787095445319284,0.42503336277146914,0.41069960278719736,0.3503083163898192,0.3882066667495623,0.2990918833074602,0.26515646775636387,0.29839738972327634,0.44823750234540743,0.36727188025999585,0.3778792393772973,0.41212649448288186,0.39789258003030237,0.46590330210047765,0.3820882154435726,0.48028782104798556,0.4265570573675401,0.43975357636400464,0.6016619348726225,0.39564038190394435,0.36780741519302185,0.3464625712954224,0.5166665037083175,0.565699547570085,0.43164054906698546,0.32758719226738003,0.2987818472712628,0.34746555873265805,0.2838246060988397,0.35618556246947036,0.3211223066759281,0.3808264021659406,0.48746043495456143,0.5468360799181707,1.12544071334423,1.6889758680022529,1.31023437589002,0.6760662343758764,0.4935412889622379,0.4994231891760266,0.42050018815177237,0.4241753445468037,0.3486151972566639,0.31959395953646963,0.3068613348593813,0.3187976290606021,0.4141293945755252,0.5395167423867756,0.4477200625110584,0.6343247604902639,0.6941943712885411,0.6669303325998803,0.4521369361307162,0.37325291035053504,0.3641717352209407,0.34948876381238997,0.3170580035302155,0.42019699849474157,0.42096822420354174,0.7210205006090992,0.4031004670491378,0.48575696287905207,0.5709774121873943,0.38979079974045494,0.39303372749317894,0.40769255024701234,0.4189379278085575,0.4186867777097376,0.4324351120876568,0.6096066153980375,1.1234313682470247,0.7112629040710046,0.9266168091400523,0.7915371572883447,0.6505067020924169,0.6484644043498994,0.43845589613763775,0.47898754291401263,0.5120762171860869,0.4259979883395313,0.4567940645073768,0.5088877602739483,0.4676270033696538,0.5242299181688667,0.4535206403344014,0.4725190660962563,0.5177416915382073,0.5015835366843823,0.5569045270498049,0.5566740898415005,0.6104340500709277,0.5509910647493702,0.6390833083763512,0.6653885031625967,0.6287582848817047,0.7225967396092363,0.8015040502854803,0.8014221223204108,0.9670889917055092,0.827260817299633,0.6930496973182322,0.753919315890531,0.8387823948621621,1.8871771362565422,1.1313019115593037,1.5233778353230365,0.7054731075928422,0.6744149098477649,0.7394084809104876,0.7706539236729693,0.6999913495101637,0.5652769328834184,0.6665274621551703,0.6545987683043485,0.841893802689916,0.5948395643814476,0.8008700738851702,0.789876421909936,0.7197632827483246,1.065425538430813,0.6020951821258939,0.544379458518472,0.5941487894592935,0.6738615944164911,0.8189409670162253,0.8989785097013154,0.8909881389564533,0.7643698656960214,0.7463726087194377,0.9975110369293388,0.834805024638781,0.692281004982376,0.8958744694642855,0.9848545671898078,0.751706302100133,0.8064135613679247,0.9693033445177601,0.8975293379271858,0.7720458088377256,0.8484654819373734,0.755299402817156,0.7322232039083062,0.6700166755892448,0.6511511209536665,0.7143755079709656,0.6120512855045451,0.6379909715961032,0.631738106788039,0.667999847678663,0.5685488406274966,0.6588629628314748,0.7887909434877999,0.7256953715173183,0.6764964498572192,0.7284887285284231,0.9971410511949359,0.8360784009104647,0.8093710943126772,0.9255919605533485,1.124258250723183,1.1269403905932416,0.9069006104360792,0.7350824362161158,0.6871723698207093,0.9554836676783328,0.8813819307836407,0.9226194244299668,0.76621313210181,0.6980012093529558,0.4999055359806284,0.42897020538584796,0.5292965630536651,0.4746402789249822,0.473518435079316,0.6573587232533291,1.4828598461954,0.46363235537597197,0.5278092114100061,0.700391385603799,0.8556497082301374,0.46923389467848386,0.6909052762126167,0.7683212365845129,2.2350802772808023,3.2116451230514036,3.423421449969505],[0.5251660829141999,0.3882142465716682,0.38013290615983786,0.40733794263109785,0.37658672516570685,0.3944508026928784,0.3120218654283846,0.3906494363455705,0.3366488678220377,0.2938448090783468,0.36458994409035356,0.46745891178268517,0.3404244936948076,0.33785291349829843,0.46143454486456204,0.41593287464670625,0.39537165363182225,0.4226353790933937,0.5010332390136037,0.4419909777893688,0.5446244924588276,0.5197284987496928,0.6275317995202729,0.7724072041294456,0.7847653164758313,0.6205885361126481,0.4351298013103825,0.3598890478499179,0.39403203048887897,0.42703538042786104,0.5029805448827233,0.4908871492818066,0.6106800498506438,0.5769449270528051,0.4941375583294308,0.45037306183417647,0.4387694001456401,0.4379144141288565,0.38285370114688044,0.4160309089067974,0.6477109806143471,0.49722298448616054,0.47358023923814907,0.6450973879565105,0.8491966176254729,1.5904578408195318,1.6445868532306356,0.9638224887104453,1.2232527656801961,1.6339079105523875,1.1757790712986853,0.9582829309504991,0.7990517808934455,0.6500447995362186,1.3205825188526206,0.598220116746735,0.5977446272109205,0.704324156423285,0.82407631866948,0.808282264778015,0.676650210546995,0.6857539482445248,0.6045775909955373,0.7919865668377973,0.5805068691654194,0.5815362140837894,0.7931425555181597,0.567622404905986,0.6813689932163252,0.6555175703639687,0.851547010198609,1.1322802154508083,0.8419992600159454,0.9180748648861686,0.6590681851338915,1.0509629919216121,0.5589961357845812,0.5773526984083669,0.5181116462976262,0.5460186346725789,0.5573945442626386,0.6326887587616745,0.9211190227360633,0.45198754751721887,0.5967957635781115,0.4525084929112482,0.47363433286758844,0.5539436143820031,0.45634152497717284,0.6386850269822095,0.5689262876294326,0.8039334713755867,0.6612256413731035,0.5828278230385393,0.5336386392624283,0.6376507876523556,0.5905266975871318,0.581242377840073,0.5663142264394244,0.86023778118441,0.5717028662896185,0.714606447854065,0.47845091375380083,0.573971630523523,0.5776024706651435,0.5539575288188802,0.8890396791055911,0.47108604510004576,0.5040129774347643,0.747988986382104,0.45895770272744396,0.36531913114580217,0.3129561038469938,0.32068862738967374,0.323633665968171,0.3523319082855,0.3490281004375667,0.41964658592347925,0.5265913914531529,0.4390848449021493,0.4489839206032522,0.3739542887875006,0.4221311091215046,0.3475629627747895,0.3079552764856191,0.3531329168460068,0.5031165467282577,0.417040157301597,0.4438153149087322,0.45733249940384124,0.4728243029558897,0.5442008078480695,0.46103755489110787,0.5109750477202221,0.4817745716310388,0.4883477934386848,0.6130275946935848,0.4457223522227083,0.41816854279119436,0.39859482894031506,0.5743387464697208,0.6427225323565608,0.4789556291653481,0.3651857584398452,0.3319423741624071,0.3643293947661938,0.31024127778923644,0.3618902960500108,0.3424249824842718,0.39775037981930744,0.4978345576954034,0.54101463607414,1.1214229960470348,1.6530062954659621,1.277153235039437,0.674726040455649,0.49506023026960566,0.49601081996895197,0.42001961116493997,0.42926191392469626,0.3832815207626788,0.33615370845831904,0.33518019266542426,0.34756739623882893,0.4726773768024655,0.5554117870486724,0.48549285477536486,0.6699737271447664,0.7130478354505331,0.6835101396430524,0.4925190821654998,0.416138814224063,0.4302263243716849,0.3919283255290766,0.344326724083834,0.435293128661227,0.4275306269526762,0.713034232809059,0.41187825248352206,0.47967199544301586,0.5515461376777782,0.4163771046366481,0.42662003197898585,0.4710246128309193,0.4778021247502687,0.47270332652653696,0.438245573784861,0.6445572948189376,1.1422988881181073,0.7686230258616961,0.975781056193607,0.821457843310985,0.6779206185846012,0.6315878333905315,0.4905365994458119,0.5725821647039491,0.5912986410057198,0.508441874846966,0.5549474075562066,0.5876785926135484,0.5620916629876469,0.5902142900615617,0.5336612624801188,0.5751507519751731,0.6112978628343563,0.5843983333371181,0.653570369747278,0.6690805333396551,0.7007812245184087,0.6471848842216313,0.7402526227566789,0.7688879171380144,0.7126743872708852,0.7665660431641909,0.8927936809196112,0.9020105790443916,1.0336610167926876,0.9530250485886235,0.8191997644510864,0.8726943079088753,0.9661983163750505,1.8237248168733433,1.210125571767689,1.506211520363582,0.8013893810866671,0.7588734926146219,0.7906782365288562,0.825053734891056,0.8388670027230474,0.6677998352934753,0.7206496605024251,0.7470535631866648,0.9410164965744128,0.6907758517607766,0.8346331517150168,0.9557736354143005,0.8613139761808839,1.169815642245629,0.7272604666201328,0.622243337519664,0.6202575526493875,0.6974109319639599,0.8163129527064578,0.9375111692026303,0.898173775803599,0.7871136637438326,0.7943661505548051,1.0171794801558167,0.8570184697920374,0.7310834390967638,0.9417286999481422,1.0305654002646842,0.811172946175916,0.8831350170796894,1.037547478263063,0.9873525735944568,0.8644833484098315,0.9632131076361845,0.8643165654145727,0.8381893517424458,0.7511297086557187,0.7450896402267863,0.8427625967248747,0.727287455762245,0.7256784565272005,0.7693199544073187,0.7967481250992832,0.6894128490835174,0.811109836548658,0.9385894107175518,0.8472303118547141,0.8298242455326609,0.8881318167094868,1.1362963547895262,0.9646283187298841,0.9428980936978325,1.0731751748899965,1.250408898120253,1.2863641082502892,1.0377465575068543,0.8466408369672408,0.7968869194411431,1.0592768821989291,1.007649227422415,1.0767831537379557,0.8771856994636155,0.8348457488511652,0.5901007518326388,0.5214362850841928,0.5989736985323489,0.5356513872963726,0.49972817000227093,0.6431465987741782,1.3997196235483238,0.48672515229473284,0.5347260820570069,0.6546447477281524,0.8555865524877553,0.45046352025556025,0.6852616919381148,0.8991589505531934,1.71326103560258,2.6045977697335307,2.984433693419349],[0.4786870354313305,0.3344387494804815,0.3603294044137442,0.33560910990679405,0.35532669805296924,0.35823501680323255,0.2903201497320806,0.39823723045642084,0.3270323974127167,0.27895063378309687,0.35717324582121973,0.4921810454836417,0.34202326967588237,0.31329364575223273,0.4684584591838471,0.42242748742542846,0.39211580936220203,0.42056065200319404,0.47935452873617634,0.4359551863841405,0.5154202916002824,0.4881178530365141,0.6132591185671431,0.717760739455985,0.7598689322657639,0.589551785321852,0.40471475622020686,0.36037615114956545,0.3997052728324774,0.43260167896688434,0.4892162500239301,0.4969983557141802,0.5834753663893657,0.5693225525784781,0.497910374011564,0.4527907262959925,0.45045919354666514,0.43710660929110606,0.39502866771671424,0.452205525201784,0.699310161029256,0.484372832078867,0.47004323299432016,0.5738248491628373,0.8383659316998213,1.6129422910094835,1.5842627570923509,0.9725012299596906,1.2232896833803166,1.5366036433457815,1.0904221837161063,0.8928177608042129,0.7694175705155102,0.6159920788645634,1.3408145781075074,0.6443998869041396,0.5840530383655614,0.6924338003364732,0.8591233436725962,0.759265841743956,0.6468299312938992,0.7034663085832837,0.5953583826791998,0.7454355442012013,0.5521974304070084,0.5532993854518331,0.7579662890095284,0.5579137349110493,0.651620878425308,0.6378224092631969,0.8608815370351477,1.1611594121037159,0.8280995227313742,0.8573744070682536,0.6378377167191694,1.0265338395623438,0.541564291404649,0.5796886754256048,0.5176949834124543,0.5307577621777668,0.5995402690528282,0.623911994300888,0.9117463742843636,0.49934658074342086,0.5538423005975441,0.46229951571440786,0.4740437196522205,0.5747161821297891,0.45896888309549694,0.6311520717686157,0.5655590648605343,0.7352451140093056,0.6235053788917451,0.5623987297542814,0.5275416389919457,0.6317327386875641,0.5806235213061031,0.5795776550763546,0.5711377507843991,0.8287477622541357,0.5775435333682328,0.7282121607834598,0.4929713704343929,0.5909574882972606,0.5986090266070521,0.566722155532712,0.9418802841902957,0.5004753560406091,0.5265241789545057,0.757804388619992,0.4675443723613173,0.37493025755304143,0.318410541931695,0.31679367664968117,0.3045536223535614,0.3151247837568247,0.3452188510831037,0.36970981330205294,0.4665977516772896,0.433446791326305,0.41551429744518875,0.35672187203603495,0.3809657174333167,0.31989439815472015,0.2949113491055067,0.3368568176565016,0.49319011171896393,0.4192672861240543,0.44599875683073864,0.46870849048963525,0.4686501133821143,0.5542417905239694,0.462336836969218,0.5130599523943938,0.4875447476174751,0.47951435363015826,0.6264758774447817,0.43719906492396293,0.40316664563995386,0.3637067845782419,0.5130966469714571,0.5383591953011516,0.42911049010838714,0.33513458019294506,0.3229876669900377,0.3576612283282952,0.306821703910029,0.3664481511810947,0.35679411685688556,0.40051277685966485,0.5098127756079396,0.535388273970526,1.1260400120997673,1.5832247055452155,1.1546272633523527,0.6657183273975904,0.508690159932405,0.5074463485770916,0.4428156172270702,0.4533081636993533,0.3808541671001859,0.3366963427919015,0.31988896658534877,0.3396779474122332,0.451828793523264,0.5476261192549586,0.47063525948998414,0.64574369952825,0.7147127444103921,0.686663319940892,0.4777868980233987,0.4020861654950312,0.42638372700039173,0.4052199172248778,0.3639553077540454,0.4543588611060292,0.4474127456267771,0.7657364949839022,0.4381957445839179,0.5325203852438265,0.584003263011177,0.44006318351484014,0.4558408920224307,0.48550801436964175,0.486956480238189,0.4732985887447855,0.42837929244427064,0.6356586501977024,1.0878499177185854,0.7088898454800084,0.9142326082412016,0.7441635973069181,0.632488056995388,0.6102295838884282,0.47552188086899133,0.5458830086162842,0.5662367156509869,0.4950045204972277,0.5283340739519357,0.5536600838982731,0.5541261943752294,0.597106139695663,0.5246447455353932,0.5380507205291888,0.5981921269893792,0.5705258895039489,0.612181932525914,0.6232333560988756,0.6835584861972029,0.6104026893763046,0.6998410542740244,0.7380537233179859,0.6850673859365166,0.7612574043545006,0.8692424953294101,0.8611212506549751,0.9984084171588449,0.8817835975987983,0.768930546102098,0.8281564581825456,0.9223995548624706,1.8809467744141073,1.2070530054943898,1.5337468055943821,0.7861471369210269,0.7673974577447915,0.8174288772682868,0.8525206125045847,0.8119986024795531,0.6628068938353182,0.7415555810504418,0.7300402729065819,0.9152849352135237,0.6746217394469465,0.8344075968216706,0.8609714231304937,0.7889315282846785,1.0687363207580258,0.6942424154287513,0.6068825270301936,0.6467898742223728,0.7297466194643076,0.8556022039571717,0.9845258765805021,0.940126308080582,0.8330795404528907,0.8288966634005476,1.0539195292154473,0.8965203835567878,0.7555443512117165,0.960749880370365,1.0455236706399351,0.8140485198185483,0.8861940938017409,1.040266778066644,0.9727851609412037,0.848186920426612,0.9433173543954504,0.8471122597037216,0.831400015180485,0.7637268827010615,0.7523516116901552,0.8251517666162075,0.7001398675050768,0.7175142053289845,0.7327782011852114,0.752332412619029,0.6414112619087383,0.7535145189146825,0.8559896194999717,0.7760168572179496,0.749179564054331,0.821924022558328,1.0600281481001719,0.8769458738697292,0.8621907498091413,0.9641595798664305,1.1299349713824094,1.1932264341425265,0.9510965583749412,0.7880551226497257,0.7587836447519107,1.0157127365608771,0.9369512567396483,0.9685189241482358,0.8100430459920823,0.7690153679116897,0.5421882561076623,0.49970062194291015,0.578543046183083,0.5093917712628094,0.5089510331619435,0.6752278690660011,1.3998822741556283,0.49196755188591335,0.5409108114232649,0.6653771988570882,0.8578247016147977,0.44393275385320524,0.6806554939990986,0.8761314574314545,1.7419521101167703,2.760537302753826,3.305096016877774],[0.4878539434170971,0.32516164490560634,0.3955293014090933,0.3754637197513711,0.3686087669825694,0.38195185019359945,0.32543748292457686,0.4402815647150795,0.3748919468373225,0.33686455746046806,0.3988044449775711,0.512951384196462,0.3913959676135033,0.3835154397578747,0.5445505017106055,0.4955614962189427,0.44871549673994626,0.4910732450103967,0.5606562132077852,0.5057846763483999,0.5934431606014985,0.5594887699750322,0.6567665551947128,0.767823495083663,0.7467990471863369,0.6333811517067348,0.47430024614736493,0.4237196543383033,0.48030829715461404,0.508639529839968,0.5614809619373785,0.5831791001270237,0.6801789589928215,0.6622019057521918,0.5828287970420222,0.5394825472225662,0.5400614146426101,0.5297593631356401,0.47186068412651333,0.5237372383206519,0.7475849899086937,0.5349557299345412,0.5428589946681778,0.5786431206975787,0.8560004099521237,1.595272896841621,1.5260505564534759,0.9918682243333278,1.2558591769549297,1.4797236578447381,1.096926602402129,0.8616354551102898,0.804600509842751,0.6486844492383648,1.440738100004467,0.7655304703510946,0.6717368649409681,0.7800722955923355,0.9334771701314835,0.8145573449426782,0.7330223433295046,0.7968743665325808,0.6918000054978118,0.8683969016108394,0.6462269080379981,0.631322554975018,0.853168445727006,0.6527821809067268,0.7295408559835701,0.6996761893085379,0.9213696311273897,1.2626818515571272,0.9039305763294675,0.937041133765039,0.7185243767313187,1.096736275978624,0.6504094887104799,0.689253665430552,0.6253068296132377,0.6190222623782179,0.678257168741964,0.7125366505697998,1.0236720833192672,0.6123507413771472,0.608363450778421,0.5483418391720837,0.5662484167804097,0.6336118496962756,0.5503613167425188,0.7220296957425192,0.6654372700526054,0.7924564035118262,0.7175933878224162,0.6639688853785667,0.6167395738705269,0.7144474548749878,0.6439230478501947,0.6498294374279354,0.6389626644465545,0.9265438513006692,0.6603712845014167,0.8071626112160063,0.5804584181774233,0.657501884098435,0.651774071076196,0.6104460003896812,0.9658747852318427,0.5203504672867999,0.5429088749329787,0.7632767223391275,0.4951120761309459,0.399244413977486,0.3503101566174612,0.3568338369144847,0.3703531067105907,0.3750576432788459,0.38440727725323204,0.42176570212498515,0.5084220056342771,0.4943696916647093,0.4687196541837582,0.4085668452788338,0.42332146516856994,0.38043947516894516,0.3409152820541213,0.3679047696504968,0.5101900125693974,0.4420718454225342,0.4605782622337538,0.48770403790069244,0.4700052686421098,0.5621948564006851,0.4670639877784303,0.5323730320901312,0.49705533874452096,0.4825417374814846,0.6381502137902435,0.4540995168478137,0.42432087944694863,0.4059608831137783,0.554213430562296,0.5666696549212431,0.4705589337932365,0.3831398989652127,0.37842628509744963,0.42141098794062626,0.3635638265437966,0.4188146591385683,0.4106310182993321,0.43268315459130835,0.550310625118815,0.5923527556211926,1.205683243889033,1.6216726264968122,1.2169329029785694,0.7666668221654748,0.5799526872607554,0.5771010332000382,0.5103035036309523,0.5070766425628961,0.43322051477168944,0.40028729155690473,0.3653126070603009,0.4027346539632516,0.50238188634895,0.5457237557613486,0.47030246715344504,0.6139666249354596,0.6958409308585395,0.6685025384720474,0.4827883672936118,0.4150832229877187,0.4384906896938573,0.4430740376085082,0.4304943363027634,0.5215268464445982,0.5046774843629368,0.818011858827021,0.510231882782851,0.5866520500927814,0.5965677434645259,0.48796351279513334,0.4967975670291571,0.5058117763853966,0.49950293017649217,0.5173626253485278,0.475049313456149,0.7290906655810221,1.053872389725327,0.6931483735614531,0.8788348396048038,0.7683372345215685,0.6331722543590949,0.6317130843235671,0.4805050278500844,0.5080952387302964,0.5419941746205539,0.5052330131618049,0.5367385179560362,0.5748699787011338,0.5705731008703588,0.630017000969884,0.5458206543377131,0.5462716003090959,0.6023501808912313,0.5722314633598556,0.6095826431691983,0.6119081750979214,0.6778412186833719,0.6106130104791891,0.7027792513263998,0.7391859318171291,0.689079809521818,0.7981029996563436,0.8846267484472029,0.857751058507698,1.0034668194505891,0.8614517204332572,0.7602078869796364,0.812508420249694,0.9032448340848074,1.9786966815482139,1.2148321265758457,1.5907300720830173,0.7994185391817556,0.79706777959257,0.8457678146489791,0.895509050626688,0.8108968140152328,0.6651228995392771,0.745938863403113,0.7272425941936465,0.896248350005903,0.6593117126128657,0.8646769209762665,0.8037419249374286,0.769285746485475,1.0652687488526866,0.6981822514302288,0.6388673173484611,0.688817166540959,0.7590959874407212,0.9142189786665145,1.0285539608389587,1.0014658057000545,0.8651696665185148,0.8634348887013771,1.1097363143987178,0.9350876020512526,0.7761700974701514,0.9783405613356949,1.0432952917917855,0.7971430609368764,0.887773418789114,1.033849524884684,0.9256389790311254,0.8488628848725562,0.9346968323422911,0.8491627739370979,0.8373852062749744,0.7810029718004196,0.7688399434714217,0.815393379893503,0.6968604173584069,0.7272362554600205,0.7159380794950968,0.7336378777259492,0.6325444950415872,0.721609884654582,0.8236655807295866,0.7504574845072366,0.7158777253158194,0.7988310194169059,1.0270929328238543,0.8504438664397471,0.826222724139585,0.9310151627137064,1.113558483781622,1.1517042680891774,0.9349410810059554,0.7694898631171979,0.7477316890813775,1.0158643250353314,0.9277345870052024,0.9464727299362357,0.8011041812679599,0.7519135718231716,0.5518145636993452,0.5183828119131894,0.5995915412700106,0.5392045128704062,0.5354952312277066,0.7124349327622443,1.461335410858704,0.5096865480042785,0.5676336577798688,0.7082365350616323,0.8744656308167131,0.4946940769887338,0.7206483409739625,0.8133488425986624,2.26374248464464,3.550967275699959,4.112288911317334],[0.4653198512995919,0.3637935283427722,0.4048251905047101,0.4122276912365852,0.3825566246225901,0.37768742398952443,0.33061122790226066,0.45134114401374714,0.37677164790722245,0.35600508068666975,0.41937858018221275,0.5036440889603159,0.4008930158924146,0.41697003806075256,0.5496920866726561,0.49644509019773064,0.4572833530289965,0.507129400638651,0.5970695597409684,0.5307280457943577,0.6070172736451106,0.5771219628197661,0.6921119601737822,0.8251813741900208,0.7857259146099339,0.681415577714473,0.48921458882745933,0.4566915050431627,0.4854841732837899,0.5082464714000309,0.5603255012242478,0.5732699127068946,0.6937392056222644,0.6598002827668791,0.5817379128843275,0.5378330358664101,0.525917264235073,0.5181240820889799,0.4648919744013501,0.5048088839980651,0.6816361095399082,0.553126299754063,0.538426371510244,0.6341364321774462,0.874382663159496,1.5727257727222168,1.5440571036179294,0.9588833380897488,1.2384136560040084,1.5112448121931135,1.1098921377717446,0.8995126530856761,0.7913675834883422,0.6417536789896856,1.4167101179328765,0.7164726936523073,0.6294384429764716,0.7625030899875203,0.926475982675225,0.7939068388903341,0.7475174066067413,0.8091435987629327,0.7175953434925046,0.8970535992599825,0.6765683134322181,0.6533006529574203,0.8490938118882342,0.6788975748217911,0.7753923686063013,0.7207403421018982,0.9249187991287078,1.3067512103391388,0.9164603130616013,0.9701319887670565,0.7365429409262554,1.137592511291907,0.6667784622540575,0.6932682998255749,0.6274331299475254,0.6206328197885463,0.6724264695160215,0.6957728242105986,1.017802974338708,0.6020652961868019,0.5952346963399727,0.5310917823235655,0.5562651910892372,0.6251915647276293,0.547879721202079,0.7140051878952682,0.6559740138326304,0.7853541613255023,0.7014137810721012,0.6535177482929793,0.6066083644331198,0.6987745945621853,0.6620844795035628,0.639082175319415,0.6372435411277115,0.9534822586350301,0.6728545425370791,0.8244376047684793,0.5887701676979099,0.6677560793566855,0.6592226834874247,0.6201519314344449,0.9892160538694763,0.5384259973239893,0.5630142883618986,0.772956690167028,0.5072559610835365,0.40519767699039755,0.3527469920931823,0.36334648421458193,0.3864421410164427,0.4121174743405427,0.4403183545888487,0.49632316549612954,0.5851511047961733,0.5331215922229138,0.5311824386818751,0.46383630330549575,0.5055192144770261,0.42673036420800026,0.36799745655556576,0.3885522575042885,0.4913490477016817,0.448007060215065,0.45530606550101754,0.4822596843699878,0.4581716685543491,0.5491752994035779,0.46016456394510047,0.534774914562505,0.4914313008744191,0.48442630538299986,0.6420245760563335,0.4572075354868299,0.4501348558338029,0.44055033522346376,0.6020846790187588,0.6399094136376285,0.5272552806872985,0.42845531430293604,0.4012902435462723,0.4301350690710132,0.38191119159001885,0.4384274220031378,0.4080983265785604,0.44457690403720285,0.5639024489668812,0.5991967187891891,1.196809663492465,1.5824277825836057,1.2001759947497055,0.7718557529703457,0.5823708417691336,0.5859883836126809,0.5136152055921337,0.504295254017692,0.4320362395019078,0.4113944971446061,0.39223341712396,0.4111859476054463,0.4847429140867027,0.5837214960516671,0.4936559732155883,0.6641043822509306,0.7291763809991109,0.7091455144980667,0.5093439563294715,0.4353500278249513,0.4343995915421774,0.43625501064161293,0.4308418553388966,0.5212226699335613,0.5086882490974026,0.8233360852679088,0.5159009783014165,0.5917319704327092,0.6159709096583447,0.48819209396613866,0.49168746234991845,0.49424131119544473,0.48838950874610976,0.5068502506911028,0.4748869276464576,0.7192434967966999,1.0857188141929377,0.7125190823516836,0.9223988977718728,0.7552860219870101,0.6374906875127122,0.6500534793596455,0.47758774662371717,0.5147071117733725,0.5372288918399761,0.507992536552081,0.5276931555365668,0.5593515305911693,0.5971056410727941,0.6669882992790896,0.562946882865775,0.5491919284630391,0.6550911445240746,0.612307397518306,0.5855660531364398,0.6303933050846728,0.7424547539844019,0.6208336590946352,0.6921336567565302,0.7643882734653814,0.7167878794161974,0.767975922327132,0.8612396113165568,0.847746663884742,1.0320440259873451,0.8800616386124664,0.7691630803109613,0.8585455416557027,0.9467341100559571,1.9441440000295043,1.3158546475499422,1.6621342846359075,0.8768165047360817,0.8848873795268872,0.9175084019277266,0.965877962602477,0.8659734371091593,0.7203009549989787,0.8106225997718687,0.7698789594387657,0.9249022639735154,0.7016322541018013,0.8880791860720405,0.8243929753883561,0.7705888674045237,1.0337324758148192,0.6939746934343163,0.641808674210446,0.7184025412328418,0.8209224718528316,0.9755287326890522,1.1209926303704585,1.0825485680949711,0.9361773113589213,0.9594426521371507,1.2069657509352427,1.0108979914170066,0.8555833369637377,1.0817134358933371,1.1411074710543987,0.8825017611608322,1.0000838646192296,1.1499276578635245,1.0256689558952934,0.935034077529376,1.0502679805009514,0.9452027285641197,0.9436118206622871,0.8807602233440737,0.8716612327287979,0.9083247555485997,0.7584429168409721,0.8028156706510658,0.7769551244225829,0.7754194757345967,0.6745926292252538,0.7783703317013242,0.8734798992415989,0.783637467048661,0.7458888062048471,0.8397661816043288,1.06571034389258,0.8742376442736158,0.8364629072625918,0.957946438581165,1.088460961739666,1.177976227893512,0.9192411919056068,0.7561665516381771,0.7248015421315479,0.9777608106419814,0.8979619778632252,0.9226473495766395,0.7740185095450244,0.7220512361102145,0.530695485065289,0.4930410133595039,0.5586988310622137,0.5249715374150126,0.5635025527817967,0.7518075682566324,1.4668499149746173,0.529690240246072,0.5771363375248323,0.7352296241869799,0.8842984563467796,0.49774459890281664,0.7035172898506519,0.8212624371531211,2.08103386365772,3.326153263357353,4.008713662696948],[0.6673366283239736,0.6020352044847752,0.6157738167573155,0.5604890490408402,0.6177952905002815,0.5511344092385497,0.5173841230923903,0.6518888423286068,0.5496838279823751,0.4903646374720111,0.5280033911416382,0.6341478176991168,0.5402659574695597,0.48670496729673607,0.623856232956159,0.600329465722887,0.5584006224262549,0.5729185461577683,0.5897051967630794,0.5751045522800692,0.6632363468616779,0.656180413689542,0.687188942032461,0.8134075716917457,0.768513273741032,0.6616814005380195,0.5577883739607968,0.5212642311940153,0.5771742367317703,0.6123718633072925,0.6407648388325994,0.6891433498620243,0.7506170829842819,0.7335906788263934,0.674244586238935,0.6264860368385832,0.6675355283524756,0.6402277187753237,0.6145823103607856,0.6701884024984486,0.9227383464470273,0.6206946659460035,0.6531119801814771,0.675733827804818,0.9290709240567789,1.6727765351230066,1.606720107237979,1.10189902553005,1.3536834229325492,1.5412108296385814,1.0896544760152713,0.8966931244052503,0.8394267009958006,0.7119417603910327,1.4379752589277914,0.8739269563764694,0.7917587708614382,0.871968406328626,1.0208564002044465,0.9036061215091826,0.794101790985217,0.8368295063975106,0.7239834362938372,0.8526000021643738,0.6812086914679523,0.6922323800604214,0.890782087617717,0.6907263518515177,0.7481428024552661,0.7510124715307581,0.9420746550437734,1.2610414749118228,0.9423266199821998,0.9725209133105884,0.7590019021842055,1.1097073260971382,0.6926543534612593,0.7327100908293906,0.6903590272046833,0.6902019286793862,0.785221100973547,0.8545788660766358,1.0707108795493456,0.7327044675334969,0.6898872942586667,0.6869494160373594,0.6793281688005663,0.7522555711827871,0.6378462840205803,0.7845795132260398,0.7254979221407951,0.8491075042900887,0.7695300175222587,0.7269340495250521,0.6883745517069891,0.7686083104625745,0.7073799933088696,0.7317106291664106,0.7337110464760854,0.9569048793075022,0.7726324426162487,0.8757236835032841,0.7249969468409531,0.7856923419978905,0.7943746600463274,0.7638079655021055,1.1403805383816934,0.7101023399475601,0.7238004357775819,0.8423959860091184,0.6559765383010736,0.5724312349018758,0.5520060766169752,0.5366981965129597,0.5126882409858362,0.4872121799036374,0.5049691340405617,0.495122492588813,0.5590102255960412,0.5709691339279469,0.5260749945385361,0.5017361663097725,0.49216593263562997,0.48365249566292906,0.49858485310660766,0.5199626090270615,0.6150407973375529,0.5811573654370681,0.6269965628374268,0.6527847209541928,0.6319477298080511,0.7183721263924956,0.6458687241935912,0.6895791975242891,0.6391440074127372,0.6330486630755993,0.7341069593549955,0.5710160988919349,0.5307452627160255,0.5262811621685358,0.5959795274126612,0.607815254887485,0.5473116245273628,0.5116806231641711,0.5182773751291269,0.5546419335871066,0.5203385985994409,0.5833143235115948,0.5907805953414327,0.6060533739965576,0.7136805424519755,0.7500375782634083,1.3917688986208079,1.6313493214613242,1.169683312053737,0.8864084856291718,0.7281304846195625,0.7354180826183043,0.6635310530677583,0.7088101432103683,0.5908322561748321,0.5664236616341681,0.5166243365642795,0.5422936764560612,0.6073228805080344,0.6924446691943323,0.6000488460497071,0.742681111963658,0.8065167198754108,0.7582483772956541,0.6085694355261625,0.5542269124239263,0.5964325802464329,0.6088867519812755,0.5912278780016033,0.6775821776891316,0.6645442673973496,0.9460016826890074,0.6662176323145004,0.7569340367883317,0.7556523194986315,0.66318275525454,0.6782610542578639,0.6692704886527164,0.6575493654886829,0.6265599215725268,0.6387914249612121,0.7028769580020885,1.1528871158907081,0.8293526102826458,0.9351815616732178,0.8518303065238705,0.794079546929116,0.8179668613120404,0.6596967352990609,0.6721300329373957,0.683660706409517,0.684526449581974,0.6989843697108631,0.767531003443485,0.7805862693721312,0.8466373978643702,0.7639652511042064,0.7275353098837135,0.8218481615845595,0.7874774547519284,0.7220009915127767,0.7778039734791427,0.8883858784999813,0.7715659205550248,0.8117578746530705,0.8813826878310902,0.8519774247778781,0.8501067969953362,0.9323883950802866,0.934386315181968,1.0843098344518367,0.9598832645508522,0.8743684139868072,0.9576127379686108,1.030749202224229,1.9829243663813112,1.372921047565218,1.7049346270647099,0.9966866746089508,1.0095080388621895,1.0411588322150924,1.0930858021830239,1.0061798022943274,0.8805032356870455,0.9631840718254787,0.9098338253739385,1.0398365646144854,0.8672885696643073,1.0406864395116555,0.9491984379071988,0.8797710540648946,1.114827998214242,0.8530583102977575,0.8141363311298003,0.8681159839309466,0.962034896637503,1.1030978509289506,1.2512649910410925,1.21516471412522,1.0797707336902904,1.0934973521255331,1.3162459922133507,1.1666681615599295,1.0018298890475361,1.2147891583486305,1.2797707989387306,1.0249912717794667,1.1204553510372983,1.2574611933853832,1.1501964839867616,1.030692537698041,1.1442778925988968,1.051183149136218,1.050033950446996,1.006417461967611,0.9907678028612208,1.0068049356513622,0.8884187532249329,0.9566935885762406,0.9046936199701573,0.8926587426649465,0.824306173969466,0.9148753385969948,0.9757256264467628,0.8768305781094922,0.8629183657106558,0.9627430572861246,1.1221453349188004,0.9538985287242002,0.9222371303003126,1.0335419514819646,1.1071151919281363,1.2175116665911168,0.976205200440945,0.8480498783867118,0.8224946052479266,1.0339000938837368,0.9572653190558648,0.9698189746108303,0.8569855614200292,0.8581976173884934,0.6924151061970101,0.679171954670064,0.7058336619848999,0.7174222536817512,0.7154323096299666,0.8388682698244367,1.4403405903402928,0.6761210255586632,0.6848595336319591,0.8108662138421563,0.9949669754314957,0.6704668291916641,0.7620971987307125,0.9477879999980335,1.8868169845240892,3.015699481310156,3.8501651392391683],[0.9857877054988552,0.9419189060977085,0.9738626786182782,0.8631310680884127,0.9681314893729486,0.8750258960653162,0.851220507602022,0.9651632907629135,0.8621291425258655,0.7989330354010631,0.7916483000528162,0.882631992688992,0.82596709611362,0.7646413938240367,0.8840216362562281,0.8748383124202171,0.8058908894290095,0.8128688802492086,0.8036133028686681,0.8182583783688803,0.8676382273148737,0.8886006891876375,0.8671446722167739,0.99669208924879,0.9403546164045902,0.8555741426764312,0.8263479644486073,0.8007467808957625,0.8475839146477251,0.8862201100204603,0.8616412015080254,0.9470945333211165,0.9486411333514582,0.9371520131015598,0.9124002824748515,0.8854126371912924,0.9559194289605284,0.9296561589160335,0.928427287529978,0.9979081629112403,1.2454899970900666,0.877357854717218,0.9348642977405386,0.885649173767121,1.1720374353227119,1.8890937961535665,1.7820725516336724,1.3666661310380783,1.5847833577276131,1.6030502827754942,1.2097805336597893,1.1094125247824265,1.1071718007736033,1.002569192916298,1.6391752873769516,1.164014487821822,1.0602130597601263,1.0760481175521943,1.211501648065131,1.1010490924965555,0.9873369910454647,1.0287454364304627,0.9287901976537472,0.9861190075395921,0.866461704023851,0.8774825510938858,1.0374336181855055,0.877844551684285,0.876864710198798,0.8995649040861615,1.0333108414710532,1.3253302733092591,1.050548013682896,1.0638320357557625,0.924359081534006,1.1886256328006595,0.8912172549449285,0.9508502008214144,0.9303195455372899,0.914360787538895,1.0301315650887968,1.1324768880402853,1.2916995191652612,1.0866703622962437,0.9966745200235899,1.0023387500369418,0.9674284782070176,1.0136998962028925,0.8965883652746238,0.9944234625679877,0.9266322423432856,0.9992969593751416,0.9487496097687292,0.9260549546611043,0.9051898947162594,0.9532845654553144,0.8841544313018281,0.9401876352708726,0.9645178620240512,1.1353945422708775,1.012372997427627,1.0904147488822367,1.0100664427360662,1.0781364388183152,1.1102493623354215,1.105593321888483,1.4277541271904726,1.0810029833650836,1.078503652670459,1.1380126786502283,1.0158508791166498,0.9451721880178168,0.907730676185607,0.8809279263324546,0.8168180122958987,0.7691870316128498,0.7886079491635443,0.7263780999704784,0.7533978033614248,0.8036733478088129,0.7431767335033919,0.7598205424166199,0.7056687475118743,0.7434531350476783,0.7965521691736395,0.8384248603433094,0.9520750321231353,0.9312831826931597,1.0012978414561227,1.0317979193359437,1.0237258002766574,1.1095983495799844,1.0364325293186583,1.036432903366384,1.0029064415541251,0.9594295820463187,1.0458206928207163,0.8982329573692283,0.8447296997701781,0.8430861133022256,0.8237605911807971,0.8062953197657249,0.8003753051319079,0.7991200163813675,0.8285697026622844,0.8515420564389812,0.839221817322925,0.8870876983848414,0.9221245008254311,0.920172866711854,1.0148549964261102,1.0168150673158431,1.6166062989243615,1.7017738657251442,1.2400979161496792,1.1209575118141881,0.997665062187228,1.0376919695080271,0.9665918578915199,1.0473633299727891,0.929363469422818,0.8976979825973561,0.8476964090730787,0.8824626897915161,0.9347549977493369,0.9873749005476171,0.9227023910329898,0.9861201401353507,1.054742685862387,0.9901465406050753,0.9311782261231735,0.8844516545475157,0.9372011647502307,0.9497210761598952,0.93835250864299,1.0180857271952422,0.9863209358040899,1.2489560544497271,0.9919863337113655,1.0908152212058555,1.0718408388883165,1.0220037440947465,1.0521404439767195,1.0325712883571259,0.9904451187933165,0.9615702592517826,0.9640270970767192,0.9745511757778662,1.3157396743124792,1.092224989920437,1.1831751202355563,1.104787338459827,1.0883414110140717,1.1178131522091337,1.0236934045874115,1.0532403711517642,1.047479156225101,1.0591655248495737,1.0648412548350936,1.1381715459863784,1.1325658016981346,1.1959834436862429,1.1243815981623366,1.0822783365550934,1.1649820480711073,1.1363342941118668,1.0467044763404143,1.1000045003244994,1.2039897868289096,1.0996618348660125,1.1041751876381856,1.1719038959749477,1.1514500343524,1.1237358537633029,1.173027583575541,1.1710504263645372,1.3337353392452567,1.213531534858398,1.151052463507885,1.2149042832147716,1.2682981351849847,2.166243205363931,1.6064585641400229,1.9062792244266533,1.2918025725076356,1.3226902402242107,1.3407166029740982,1.403303529773028,1.3044316371734577,1.202194133935308,1.2779250883154327,1.2011757077690453,1.2751073906086812,1.1856607458094965,1.325203906684417,1.235821839351693,1.25720128380657,1.3704859071386781,1.1993748266321016,1.1673527894688758,1.21857614743068,1.2790820612792906,1.4166372553399602,1.5532047319366455,1.5245324242895593,1.402528340945517,1.418671661246374,1.6060475782655481,1.4711428769696109,1.3336541399109445,1.4947715502589076,1.5407262990690171,1.3227541961116165,1.3905452869596722,1.4979301771369755,1.3987532824481164,1.2932871419823,1.383603186928904,1.33299495966346,1.3344167001086629,1.315905360734998,1.3063182607981914,1.303653544022575,1.1968989588870038,1.2825135749389998,1.2061636803112217,1.185030736831026,1.1587308039970519,1.2057490320380893,1.2530781315892785,1.1615458427689613,1.1926283523651289,1.2999553949524068,1.3588535063872487,1.1998776954232515,1.1571655875430034,1.2728535968948946,1.280728339170171,1.385620008506255,1.20208722740218,1.1184197533254714,1.1018244829504447,1.2610726038387312,1.1918590785496321,1.179712902106515,1.1207475729867489,1.157133424260853,1.024294275982808,1.05607507292965,1.0531756184976782,1.0532119444708226,1.0753634433287338,1.179118403215755,1.5993235626325344,1.0435617524261551,1.039455831349129,1.10938854703246,1.2894116687622619,1.0182907697770838,1.090865257880369,1.1656914820969495,2.0353539716097613,3.1431659380165216,4.206270878288523],[1.1237573454220562,1.0819437035184176,1.0876242863347219,1.0635312400814332,1.1273262069646615,1.0430754260177744,1.0366852841632788,1.0942116249317013,1.033056524294236,1.004702503681378,0.9536355540606972,1.0123478578658776,0.9908887970031125,0.971089473787379,1.0425183838991683,1.0129137395301309,0.9881858303647862,0.9927203026041695,1.0366444984192533,1.0068340589896965,1.0231093257523582,1.052265358437231,1.106733797172392,1.1764458116850074,1.1993596891280172,1.0946937687206229,1.0352352594453431,1.0134556321119816,1.0236317720987216,1.0292661145052702,0.9820617484233928,1.0543863931178243,1.0257791041560602,1.0291237082290718,1.0240996913375617,1.025694265101293,1.061625042349106,1.075613201652646,1.077231084630669,1.1199936637432093,1.3340850382623017,1.0828040347510501,1.101214005879936,1.0909788223571315,1.347568297100535,2.003926142674506,1.9162009613651068,1.4727012420953358,1.6550212037207725,1.749916642522271,1.3740988804369358,1.3010013256286626,1.2857634883630908,1.177286745639285,1.6917001786126673,1.236129570900528,1.1838064337802618,1.1648168978928255,1.291743513393937,1.1804468281729814,1.10779170231942,1.1442562321446543,1.0467306390729365,1.1541008292903463,1.0360956876412593,1.025753967923848,1.1346400225501565,1.038886869564154,1.0452964754642458,1.0552123669032905,1.185385061504625,1.4243882386732238,1.1557428010803967,1.1509699871105659,1.009532744348896,1.2218862959084613,1.0224136555865804,1.053917084007781,1.0523876712521505,1.033374633573094,1.1018201683195359,1.1961079801726344,1.3220254075890414,1.1397852234682497,1.1252266539012088,1.113316395270578,1.0939973757394312,1.0885370287983562,1.03395938145724,1.1044320508584287,1.0330743856499436,1.0633077451439663,1.0046898486350617,0.9963077936970676,1.002667463715598,1.0247563712748002,1.0012592483505118,1.0197160642796672,1.034243908713409,1.1923684547558993,1.0831519410232433,1.1333017060294983,1.078506559253974,1.134385797857504,1.183568403722033,1.1789911536221052,1.4799175472932238,1.157065605668325,1.1606316947093636,1.1709925620190509,1.1122375284814727,1.0905600123672807,1.0725414977538195,1.0658378441845895,1.0393148169475594,1.024311410659629,1.0278589633297028,1.0032900729673264,1.001335254038905,1.0184660324945123,0.9947169843924109,0.9940243324950652,0.9916402649756757,1.0164733114542102,1.0400652098214718,1.0676179765386538,1.1425334073491265,1.113742940456642,1.1578122710624614,1.1603664522159103,1.1658503164055085,1.2159339055383729,1.1744037526581659,1.1335662379980824,1.1648452464483152,1.115376577622743,1.2093695776821258,1.1232643196639,1.099449898953368,1.0880502883228589,1.1221787841108053,1.08610624535559,1.0550494014623866,1.036112982184682,1.0508054986203466,1.038529221622189,1.0439900761186605,1.0496411267476584,1.0645921006021404,1.0741580968424262,1.109310676910065,1.0803588089686513,1.552901488970623,1.6693105005676,1.2456170272215479,1.136174632150034,1.0624935759367802,1.083349798803501,1.0543272840886246,1.1335977009423772,1.05865871571972,1.0410313154570692,1.044435878249344,1.0570481721454577,1.1282402568428744,1.1917938427827703,1.1131424894601956,1.1721364773886607,1.2237331591319889,1.167933275440242,1.1113946864195894,1.0879304724493142,1.1106591154161134,1.083810930895292,1.0573905594198312,1.1033977835107778,1.0698156893514905,1.284582728867049,1.0681518362245468,1.1575399800778938,1.1741011846375797,1.1265283299684168,1.1613960246441184,1.143566858697875,1.1272596465593583,1.1286917171467055,1.1057444792454068,1.159583866718114,1.432676430151818,1.2836077031064235,1.3416056439499924,1.2330203960125155,1.2191997945430988,1.195114115947311,1.1569373382860977,1.194388489845524,1.192572262642977,1.1698993050864477,1.1730830020130811,1.2125124813149668,1.177494445756259,1.2238825055429245,1.1927272168372915,1.1595485413876963,1.1912213489136532,1.1765531146136914,1.1620067442519804,1.155725713832906,1.2051927050028926,1.166222598827652,1.1714622467541398,1.1875309420201916,1.1745891140223397,1.2105450850664494,1.2266060915546406,1.2515127134284527,1.3286904662960075,1.2815111247245354,1.1886134141392768,1.2072698351206552,1.2558601734675408,2.06215068617645,1.5689931074920807,1.8393866757184034,1.2361901623235223,1.2705802028514754,1.3195047677147083,1.3655719786280727,1.2833533297592414,1.2012433596639849,1.269933064408125,1.1965085991571787,1.2751747307751973,1.2123071147999818,1.3468567417394985,1.2954075675188328,1.3435338064105249,1.455925448784441,1.2829601534879975,1.222847102580167,1.230540683965855,1.273374145776228,1.3885646786253738,1.4902359166702266,1.4746549920642795,1.399254346233419,1.3701105839113634,1.5503152558976832,1.4543144400732795,1.3037403381025716,1.451174586552544,1.5071654521604771,1.3109245501911602,1.3562622879031119,1.4572944668143963,1.4019850481882397,1.2587740487691592,1.3311663958095272,1.2857624951593378,1.2902809900421564,1.2836938543323195,1.2636835561682391,1.2670521107315602,1.199614726662589,1.2639226707682323,1.1976726515614406,1.1975814712717339,1.2012724746158063,1.2281214044320738,1.2791762547473011,1.2343902125014943,1.2759406664268886,1.3567343230946791,1.4337411861588603,1.287460017505586,1.266559866384367,1.3821368699011405,1.425307440566049,1.4719610696126044,1.3537902221863078,1.2535630870446577,1.2669244540732785,1.4565495758527185,1.3826114207148819,1.3706326673712417,1.2862469686212985,1.2978490275961945,1.1748548771607965,1.1873256236172804,1.2134027724727934,1.1677003464989766,1.1341731226451994,1.1846510505518977,1.606763208569204,1.1227927704220482,1.0923716010105509,1.1638385175731016,1.365903705417053,1.1048590709695605,1.1333558478063632,1.3603073346199386,1.8723577028420098,2.8783070088254226,4.101399608997083],[1.3953746002902638,1.3560248481907464,1.3939298305039478,1.2798976253403274,1.3845762244187854,1.2853973419772995,1.2709037908119185,1.3680282565483028,1.2526171625487534,1.1803177483833123,1.147679815814037,1.244166627492801,1.2098897562794442,1.123330930344256,1.217714385816821,1.224253745742986,1.1655782413966946,1.1549825778853966,1.1464277732023103,1.1752638115626841,1.1794511055772192,1.239040201750059,1.2196507613509813,1.2813161756219227,1.2981026439180265,1.1996575918676178,1.197667163127957,1.1840638598730535,1.2153948641406378,1.2683448382428515,1.209448268432899,1.322685313454735,1.3184420513774207,1.296843914089076,1.2919510204302749,1.2556817598841454,1.3370621025475196,1.311471354192692,1.3122162905732981,1.375509918696233,1.5196645295266447,1.2521547986498618,1.2981779229840427,1.256424692923697,1.4822557224543587,2.1151121858909554,2.044575841895835,1.6562578093847051,1.8323782747817914,1.8608437709952854,1.533775467278729,1.503005190279284,1.4892772452540968,1.3863165529439934,1.8661857220461104,1.4973546606429617,1.398131620620034,1.4413528707716665,1.5752215522350659,1.4257074040465298,1.3176207381323528,1.3282028261725545,1.2685562263372605,1.318756427138872,1.2035447927882719,1.2301935743584635,1.2768784368280632,1.199163197164889,1.1440734144137628,1.179476466335722,1.2513618931606263,1.4722898633113564,1.2817341558142443,1.2823818947318628,1.2000367879386356,1.3827681521934077,1.2295366262543674,1.2901528414927121,1.3065872479301055,1.261808023001178,1.3554903969490275,1.4695396490892183,1.5495266591603123,1.458823487439338,1.387683241990992,1.3795329588475878,1.3598727319008144,1.391079602951174,1.2816907949633278,1.3574929465084846,1.2528684245898163,1.2956321141199494,1.2341909948388645,1.2453257825420492,1.2419228003826597,1.255082108421144,1.2186529674377782,1.288806195940404,1.3189997165880378,1.4458425068575949,1.3831457667522438,1.4342164747472463,1.3968880841239966,1.46662442240906,1.5182145231374584,1.5250327613546204,1.79510427258926,1.513027996789347,1.5081230238031444,1.5089904475261753,1.4521284707553235,1.3989130472454705,1.3396207044609656,1.3031140792449916,1.2244476450650832,1.179672900860738,1.1857835967017556,1.1184256381852171,1.0998001200573548,1.1355430078788225,1.0694542979844344,1.0965014317879298,1.0941095626951314,1.14201744313621,1.2075239691994357,1.2903001387935493,1.4366873566138103,1.3957321684805182,1.467351776779278,1.4922918859700538,1.4868871829807082,1.5676934882676874,1.495868061065171,1.4907367404340983,1.448478078621941,1.3732304138338987,1.4377262775478328,1.3383814801066476,1.2524895357027412,1.2630643390885086,1.2357226220307982,1.2169685066104217,1.1851389459878114,1.1989336520610676,1.2410160300144657,1.2543200395901757,1.2503852704251734,1.2938243075765057,1.3324023947793329,1.3292501381465198,1.4081992941619614,1.378709090614363,1.8221457907588843,1.8769576780427972,1.4881722223142548,1.454338510114102,1.359668998436552,1.4215095765494148,1.3571123133246559,1.4405542671679694,1.3453849192902825,1.316786671212972,1.2731340860403755,1.3095607170812003,1.353800700329904,1.3439818475934047,1.3515975725428933,1.4018604429982227,1.4446711740177327,1.3947261298220477,1.356860899202558,1.3208457289937232,1.375178116292318,1.380256601692082,1.3613441981435712,1.415570976995132,1.3642608897054658,1.560175913077324,1.380154396553117,1.4700575524029789,1.4853259004573776,1.4424185010142185,1.4797225811978632,1.467335573170955,1.4290907587207398,1.395848110870658,1.3492767794753544,1.3875670493382317,1.6031425101356918,1.4878015380987475,1.5467882663060262,1.4644680082423527,1.46713548271609,1.4619810386481118,1.4647501695900058,1.5269262956478467,1.5039274846714266,1.5222308584053637,1.5279113240576967,1.5681014414022043,1.5616425172697812,1.5976375769846187,1.5635503679505816,1.5294517890118078,1.5955084005634022,1.5700646700526817,1.5026349650156625,1.5322000767607762,1.621089786503135,1.5397715410853656,1.5250305092281902,1.5823684975038839,1.5813271797750874,1.5355555490444923,1.5622418898241561,1.5647867148482342,1.670265817591616,1.5602485379139321,1.5456083405004057,1.575434773079512,1.619610678540672,2.2841942071983423,1.8475320463537197,2.0367673259613914,1.647081136935644,1.6897564105555143,1.7366946505099214,1.7465753999958815,1.7163133794987253,1.58976071092389,1.6447366000135832,1.5785156886769371,1.6099272104375495,1.5729854820208262,1.666999993994074,1.6353483080162028,1.6748532928449416,1.7606642293863526,1.6251811871704778,1.6041216486416816,1.61842421106867,1.6519114633804726,1.7745468341970294,1.9012947220209546,1.8695034690138967,1.8158353560701512,1.818889938943414,1.9337915705367725,1.8358597681789997,1.7223897257882366,1.8554399418830587,1.8984236464097302,1.7169461353558948,1.7654727184314445,1.869301221973124,1.8098046735664772,1.6794919315030792,1.7448401286904922,1.7182706813729696,1.714724442422564,1.711843612151311,1.7043487886838196,1.6852107892068275,1.620210351855891,1.6678347877718378,1.6012680950447449,1.5830673963994295,1.5830777253405273,1.6148081825046006,1.5984024908991707,1.5695155911823941,1.6250385479512943,1.671923880108559,1.714598956511742,1.5631060949246893,1.542010982549753,1.6226219114831957,1.6382636890725029,1.6922849291312345,1.5953160387522978,1.5569465849474555,1.5482661101706834,1.6594057279164967,1.6145253100595132,1.6060507539479698,1.5452138453472277,1.6013448784713529,1.4902498752533395,1.5244367194167818,1.4981258853792814,1.5025138107263112,1.5149568206893513,1.6055171790040834,1.9047345156793027,1.4764361819833518,1.4942319893237965,1.5783465262518692,1.6627587226179954,1.453348262415082,1.529133835702488,1.7565707182226593,2.214877717259227,3.045902311194725,4.300550007525861],[0.8170141804405084,0.7408429884025955,0.7761464399491204,0.657557309492744,0.7694346694845867,0.7177183190623675,0.713282192478491,0.8600795664125274,0.767614879381036,0.6999712633968442,0.7345740271532478,0.8390950124210224,0.7462198592662562,0.6795290696171237,0.8102368554309827,0.8030202360199281,0.7316028892768136,0.7350925913637011,0.7124222081246606,0.7294558985165497,0.7852599890767288,0.806761689856224,0.7676012162062837,0.8935805224644634,0.8491108524989717,0.7427690483003435,0.70576621880917,0.6802480129814888,0.7525713385416095,0.8239157510897118,0.8210553827762281,0.9056759961621103,0.9597497038446691,0.943466618395474,0.8891539772798243,0.8381934450339089,0.895313020759914,0.8374338158546143,0.8066597972199252,0.8751396860244798,1.1020612679450819,0.7650713532690728,0.813663522167952,0.7919472387219723,1.0657788431284267,1.78051386018326,1.7165421208758807,1.2256243913763938,1.4187594795885183,1.5659550358785106,1.1790543459333673,0.9912911920863614,1.0431365947303164,0.9150790225657989,1.5998884465152674,1.075396519072797,0.9542585471049339,1.0364948706721349,1.1884572335547479,1.0374048726001994,0.92521823044399,0.9686285343978667,0.8901128896214463,0.9762155714487578,0.8124651654269673,0.8067238750483732,1.0058056586427866,0.8335221734612532,0.8420981564621453,0.8605537961020346,1.0204774741872258,1.3080262620535892,1.0146183764239973,1.040153837849331,0.8730229880534671,1.1382491802653332,0.857678526397069,0.9212324526165463,0.8966757258052863,0.8927145411980737,0.9913291446008109,1.0319827279492921,1.2599483178049207,0.978108832637876,0.8974220024504075,0.9152846039333683,0.8853165863495148,0.9276715533880828,0.8357022132130311,0.9792464674235092,0.9153213594454594,0.977715259087636,0.9398637479079638,0.9298154796127984,0.888877450496028,0.966789111934119,0.8680341508705104,0.9429235125473143,0.9537208742915413,1.1494990261708908,0.9947940969306115,1.0985126689371796,0.9576413557630762,1.0207769477149518,1.0263443479639682,1.0145244115085823,1.3785276052786941,0.97224774711075,0.967547620143262,1.0725367716117067,0.8968656069904005,0.8172657448685403,0.7811654987727207,0.732654550675726,0.6994928912317999,0.6415377201074811,0.6645839780878632,0.6256247130077632,0.6727956549356151,0.6754581697766189,0.6376021706035121,0.6444094898468753,0.5841362004707511,0.6109333757865735,0.6586125960017374,0.6713754551052094,0.8113637306383041,0.7649924053935658,0.8648478928761185,0.908795825008127,0.8772348241758933,0.9862106186452507,0.8854880936129211,0.9045390252946574,0.8521568712345045,0.7879464616577238,0.8836062031926672,0.7303469243412803,0.6826539280762223,0.6852398249510434,0.7213802186107321,0.7088011037506748,0.6950943324968323,0.6658427932672237,0.6996137828776022,0.7385973026930893,0.7135093997713119,0.7742785948291475,0.8107883241732767,0.8319885711093364,0.9314627491342504,0.9599082418376862,1.566881584715855,1.6975399109674751,1.2980557234019767,1.1082082090036782,0.9451621525623056,0.9697342420086665,0.8913230771897588,0.9422552398225584,0.796652629420484,0.7854905848559194,0.7072230618706589,0.7542305158930641,0.798920130830155,0.8334333271324904,0.7636318319803658,0.8482381562761013,0.9106234765027684,0.8504126330980063,0.7604847280243309,0.7178615364663151,0.7906632417348005,0.8180156057846465,0.8173919498207244,0.9233811073500071,0.9064933668589048,1.183342077446855,0.8951355346247661,0.9906135389029885,0.9546496278828949,0.902574497909892,0.9207339004349407,0.8873533365461376,0.8478215161025741,0.8444157139232957,0.8365069525362715,0.8853747509054322,1.2346371013255668,0.9804982094388235,1.0962591496315175,0.9484921387276544,0.9033840441440407,0.8888689285260724,0.8362120429482452,0.9089791085386939,0.9035250834826151,0.9046736766507203,0.9219654580953455,1.004783036533451,0.9985886123575671,1.0763215601992389,0.9958208222467452,0.9480039884849891,1.0458291404614484,1.013551333614494,0.9221958857479863,0.9786198415560754,1.100054791630798,0.9704490657554833,0.9793461288660957,1.0755660289790183,1.0475709957392147,0.9848456611184628,1.091424405840768,1.087051297604209,1.2520131569274058,1.1344629537500117,1.0572195479644109,1.1396026630448286,1.213492489682108,2.0295714127923343,1.5547103930929935,1.8014107447243424,1.1986030423509697,1.2254104593353126,1.2465392156251347,1.2727371760386128,1.2325025809823846,1.0609012402464593,1.134179966159092,1.0602822736201738,1.1256076376899073,1.023128729558354,1.154538036882119,1.124492390182696,1.1411307850864572,1.288852686022565,1.0794290208934327,1.0393620579631306,1.0787043357196833,1.1586390118666463,1.3263931768714228,1.4679186843318417,1.4418858176849993,1.3142818235641187,1.3325752379623357,1.5505005476034766,1.395303126617806,1.230448409483064,1.434907851359008,1.4933503807191089,1.2442197896272187,1.3357649503765892,1.4712774741785692,1.3684887320512205,1.2327200663291344,1.3578767954257305,1.2706675815147075,1.2761150001436725,1.23154613385249,1.230821051958708,1.2471535900005932,1.1074050488495324,1.1582198092216804,1.1212439703826464,1.0931193705775704,1.0363767474944199,1.119556670299787,1.1608677076399236,1.065270620807023,1.09509829491463,1.1915328082741352,1.3110686532900484,1.103052815875585,1.0557795329138993,1.2104545886083962,1.2397788492479587,1.3421072154335278,1.1432127390989943,1.0278313226970777,0.9988602392096729,1.199682103075289,1.1253949225680908,1.1411023539505813,1.0314759780248657,1.0620733284928792,0.8817748955184438,0.9101009520463247,0.9247438163550487,0.9214640042377175,0.9712950776144207,1.074637489314221,1.5756681755553366,0.9297910976677844,0.9196221809729995,1.0566279267302794,1.2698815502312677,0.8702323500890217,0.9541551582836262,1.2176709917251416,1.8421286842684932,2.8673695935556216,4.001342930811931],[0.6892133520551063,0.6066718293642864,0.6226672867744242,0.580501478705134,0.6211312325102233,0.5976075623391403,0.5753052191195105,0.6749395310555074,0.5732714983550483,0.5237474712736323,0.5352770866971501,0.6356829023947805,0.5545413617005627,0.5033223789864403,0.6101199493019165,0.5946973123929478,0.571545274415288,0.5746529412866831,0.6447166086691124,0.6011598425630479,0.6107005451137589,0.619240113576357,0.7709582393305574,0.8493820207573666,0.9388342449981396,0.7505233883855399,0.5937103911161267,0.5701067923406925,0.5910851211416572,0.6130353732171872,0.6075896897379209,0.6693889194853611,0.6822669663938499,0.6823578794159733,0.6463020046686369,0.611701713266387,0.6510248985500918,0.6297011131615996,0.5798048118447483,0.6284307190562053,0.7942062837577862,0.6599082500818247,0.6416537021626374,0.7544386065898026,0.930228115875675,1.6536374321555032,1.6456312160842552,1.0456298739590357,1.2884068121036916,1.6647218080101636,1.222784526003763,1.0692999214065078,0.9644325418672974,0.7885930110466219,1.3822032486577167,0.7622714264224517,0.7187352196640778,0.822167080426452,0.9899208188499475,0.8295195612683359,0.7657579352457392,0.8408260948116193,0.7164929511452602,0.8679133631000394,0.6850204211455554,0.6811887003196938,0.7897094419908859,0.6821374403092262,0.7354171286052477,0.731364129548504,0.8916441393360125,1.2162589264826482,0.8829409477907132,0.9179597653687808,0.6943148721751917,1.0640278756701802,0.6598081192515258,0.6725137643016894,0.6590401989934092,0.673242720600246,0.7510823330301499,0.7888774612435612,0.966864088422754,0.6720928664453868,0.7333173008376526,0.6638684054926354,0.6560746175931146,0.7151180313683422,0.6305774834939764,0.7520667169303576,0.6679860782651578,0.7954022838606375,0.6902507487364266,0.65334826498354,0.6412549935715844,0.7034566091198238,0.6689539426503561,0.682257293259362,0.6847285144773847,0.9181515391246183,0.73336753254002,0.8752915306932536,0.7053853167331114,0.8055111924357877,0.8135403513606705,0.7908629163988027,1.1582600255199826,0.7869456459584492,0.7983840766837976,0.8900944337368586,0.7289343864837305,0.6465606698923064,0.6037721217306142,0.5679021874464011,0.554364217294499,0.558677249256106,0.5516311784293315,0.5915768177178241,0.6020641397936154,0.5883128857278165,0.5636917573827464,0.5357120949898845,0.5761466090315501,0.5515988639252668,0.5444362664923148,0.5982447283887188,0.7493098749536048,0.6946620606682533,0.7362453193619477,0.7321317211279984,0.7434841253693906,0.8063533124811112,0.7495395791446691,0.7322389585883173,0.7435820713190129,0.7069551537966702,0.7992745519814894,0.6630825856294928,0.6222825519084515,0.5949530337747004,0.7097888635820073,0.7083089819902205,0.6338797459857402,0.5781372250783694,0.5853018597119184,0.5643329330385003,0.5528463256438604,0.6065068744470349,0.6143224792453976,0.6498423276869263,0.7469051980951128,0.736829508220528,1.2373026940334937,1.5811355280411912,1.144094015092807,0.8184493197030366,0.689865845450834,0.7368984620989748,0.6545512086964703,0.6937283230940342,0.6125182671203728,0.5798569814935239,0.5641860661008281,0.595252822925657,0.6979429297193884,0.7341754977986531,0.6821014096556764,0.8100685142375781,0.8662864715036727,0.824084118192856,0.6886405966023116,0.6444147640214276,0.6830311723769853,0.6593402585853976,0.6133451195349782,0.6925742680634481,0.6607920482995657,0.9227416501711945,0.6567850662214045,0.7495131912254577,0.7458097165253009,0.7066913165374414,0.7391756415324333,0.7415896607498439,0.7230410962627664,0.71031127573975,0.6463102311209091,0.8091996928106401,1.170197416900067,0.9415963830758514,1.0411033038352318,0.8543085398976816,0.8233691938005945,0.7629390094809076,0.7414720152679762,0.812029682248106,0.8129620038291393,0.7791555686992407,0.8017112631986828,0.7999406498550218,0.8162112045545905,0.8460937289775355,0.7862019015125055,0.7943659062966544,0.8514998636351766,0.8163416182274562,0.8305251686847646,0.8396477740236983,0.8977598340477417,0.8187950853905326,0.8682682062091654,0.9005163860024534,0.8612234862118956,0.8829849130985422,0.9740768722652263,0.9946725932675973,1.0878545879384864,1.0231379024273817,0.9247320207882245,0.9882125479461875,1.0698273518571106,1.8520712658955372,1.3685139268865685,1.6206575413819035,0.9741947066905146,0.9781638598636093,1.0547079805502089,1.0625981118344385,1.0177639172188864,0.8890721022869243,0.9629079673674441,0.9353678632865521,1.0559372751854332,0.8900289010570555,1.0320846373064019,1.052702798981134,1.012528055591293,1.2196477034277349,0.9338293273945871,0.8590067994062013,0.8879847181250704,0.9774515044875117,1.0663746214223535,1.17152359302991,1.1373565472999525,1.0676327065448827,1.0384845918938808,1.2367439892796466,1.1142022284434812,0.9706502934367534,1.1550372856931541,1.216333172576967,1.0254321797992483,1.106912721613712,1.2279365244046432,1.175911304171016,1.0411097629898056,1.148638407070564,1.045289151224262,1.0527887430449634,0.9888245071678289,0.982451071732585,1.0380522212735743,0.920277216650798,0.9289768548921363,0.9435201537852707,0.9438948213018649,0.8793710528861618,0.9808646295778719,1.0280890722917737,0.9795734799091942,0.9786057806301264,1.0258211055719875,1.249081266062152,1.046202946303638,1.0200710730898226,1.1437739433505767,1.208439872007412,1.3222080587217748,1.1007438141995154,0.9732969479021121,0.951417375333203,1.1828310755098221,1.1145037766404726,1.1385899309297831,1.008819359722342,0.9971342768569064,0.8065603492893602,0.7723187893371054,0.7910464699579745,0.7644920553944892,0.7528079834205431,0.8590741972499957,1.4460906264072138,0.7427665173486055,0.7518642332714829,0.8944824808734484,1.0330399128354566,0.7022081075004086,0.8061954534982683,1.3560356024488438,1.4454417532412276,2.4253527459075994,3.549265255377121],[0.9331107736818829,0.8814027838162932,0.882185095645684,0.8447278757100052,0.8539087687914128,0.8125996053720683,0.7846886025992518,0.8819426755112983,0.7401828596218634,0.6898687464011201,0.7009057067823216,0.8029954701463875,0.7278233298680914,0.6509204794063228,0.730284767148422,0.7436512043801481,0.7275650500963936,0.7181050262213317,0.7474977113970614,0.7629401834029277,0.7623065058140969,0.7743822462933897,0.9086844364952317,0.9590761949295865,1.0828161939695589,0.883164746497567,0.7604805302274925,0.7461852403041285,0.75228458890483,0.7800223351723239,0.7773365111844228,0.834048715573966,0.8523332959224831,0.8382668003870019,0.8191234195041114,0.7747681788999828,0.8289877272170733,0.7985130880707948,0.7801679772228142,0.8365884941869609,0.8659317899761888,0.8309547934053142,0.8124140468640149,0.9638742419605896,0.9742935154470097,1.6147003173500933,1.6170395397317645,1.1038729806776701,1.3203723243354761,1.74884629269438,1.344824365738753,1.2442604973349924,1.0967211514869235,0.9521685539331208,1.4632721168283294,0.9345015969174685,0.8923568668466989,1.0152997527466363,1.1587854611095016,0.9938350586888038,0.9089686053933399,0.9305086272408633,0.8346054757684696,0.9521294117590829,0.8116603667206544,0.8289639804544112,0.8624428404920548,0.7806570696318347,0.8114982086300733,0.8145367774419632,0.9650182727173438,1.2551168463202442,0.9595394114371238,0.9687317365972727,0.8204410490499427,1.1681195856510318,0.7748065114051839,0.8188873503655123,0.8150758757209443,0.8530828430820897,0.9224088230153376,0.9477919081097411,1.116001543389086,0.8727952723652068,0.8985421057975423,0.8434754100729194,0.8320804388003744,0.8925068247031033,0.7952194101126483,0.9027009197855087,0.7927894446062004,0.9534216060333063,0.8507743633046887,0.8051899631572002,0.7880320799626263,0.845410048278786,0.8085650297985767,0.8404428279396952,0.8482461442268698,1.025811227334677,0.9117031671732777,1.0476043829326913,0.9042865524788614,1.0193858923409065,1.0457302406173912,1.0185943776878104,1.3584196562102262,1.0559605514978008,1.0552971065273358,1.1147593237979931,0.98650338789795,0.8945160297517825,0.8119397514339602,0.7835042753726535,0.7327276683435486,0.7413332265092863,0.7233442690934992,0.7664978052980153,0.7521225263739292,0.7258968441445752,0.6939483501259172,0.6770972108260326,0.7381764646611957,0.725951966401313,0.742051443560414,0.8256634776997281,0.9637474199127132,0.9455094102007533,0.9937664282495795,0.9847838966779047,1.0022513395919073,1.0453482357684853,1.01035118504063,1.0044504037220903,0.9978073597382222,0.9643570663812777,1.0449686427520382,0.9063130390891498,0.8615807460005726,0.8153450886836024,0.8857308563125725,0.8984613702814362,0.8062732042143809,0.7832980930969313,0.7814327480997347,0.7527169493546682,0.7461079538477469,0.8062897038604502,0.819708581755625,0.8377905693939075,0.9498758287991784,0.931090104712445,1.372366641280588,1.6435071008525306,1.2091059055194553,1.005865739596758,0.8822531446563961,0.9442734895728543,0.8615490986794425,0.9007990650245887,0.827640937995834,0.7920889386420432,0.786617461745246,0.8093443193345129,0.8935665696351576,0.9599181427119199,0.9491066729596317,1.0779869789376921,1.1262162261196103,1.0882792701633957,0.9612970126025487,0.8985345210882746,0.9077222444560002,0.8858561994170818,0.8377603063656672,0.9142841245957851,0.8656926966942449,1.1042038550002033,0.8748481149694466,0.9744737644256849,0.9994062387313624,0.9534014563697845,0.983991165822149,0.9897473391288985,0.9493099318324354,0.9084989092529282,0.8542824101121786,0.9550894849941344,1.3090559305291893,1.1240369231739684,1.234805790241185,1.024098100149988,1.0581538709726792,1.0102042480119025,1.0182020928122906,1.0864280031277709,1.0684330365664954,1.064115717126615,1.0763414497714796,1.0157674811948672,1.098078440695907,1.1168336120079405,1.0294902491612936,1.0595523785444105,1.1355268447070481,1.0797418688937637,1.067268641357902,1.1176662473089007,1.1855975767275142,1.0798565772531448,1.1202207658108918,1.1566589300674806,1.128693981320315,1.1173044006614605,1.2139376338284333,1.239848191206,1.325216019748848,1.3033656235044644,1.2003607814957444,1.2805993697615141,1.3995720468631105,1.9000820070858322,1.6381225673236406,1.6885030826368679,1.2720447712524436,1.2817455937673983,1.3531409290811511,1.3501028267655988,1.3160360842768826,1.200622395911321,1.2642766456826078,1.2445529160154942,1.3401103260464324,1.1761601256000496,1.250750899947072,1.3629518860918295,1.2484976369063518,1.3432171361569527,1.1614041407379383,1.1153488715273054,1.1838817004278919,1.279248459167595,1.329079017152914,1.4218184417685376,1.379623411979599,1.3395974463187268,1.3287732975737492,1.4829650915385242,1.3578848722728374,1.2495868503144094,1.4223461553004635,1.4680317603525859,1.285758111526812,1.3969903720351473,1.4960788606713342,1.4482432755375718,1.3309019748806177,1.436959993302479,1.342528476037011,1.3619813349849312,1.2914006303073309,1.2946209678276408,1.3450064918065243,1.2211138139528916,1.2063725280576394,1.245221733631499,1.2339642455057016,1.168334722473822,1.2787577101060963,1.2947049459659254,1.255156547987739,1.2490960255098074,1.3160237687449725,1.5270777114445961,1.3267717192831399,1.28523408158748,1.4191942510644093,1.4465923195342183,1.6082343552792822,1.3429025547236182,1.2337977083527631,1.1850886475881282,1.35355500188,1.3078821781354795,1.3617452112465427,1.2178702111238182,1.2016993267024612,1.0405470252657436,1.0237499968981187,1.001817408507372,0.9846005980939517,0.996087321228867,1.097530883586985,1.5931164768601953,1.0032348679510794,1.01096737919643,1.1356550680661006,1.2021192923080477,0.9367625756320708,1.0625420879127807,1.7386553492434544,1.7308655091751561,2.7090085934657475,4.197596586504682],[0.9451416486319072,0.896020567088187,0.8794156979851856,0.9364837349839891,0.8527939471844213,0.7771876102989252,0.7346645668040899,0.7199757883523346,0.6065243129144676,0.60859805218803,0.5875751453589576,0.6273075320326382,0.6017968944605628,0.6022600302929136,0.6474413332937211,0.6166987857260438,0.6766148367380523,0.68369714655394,0.8007731657720746,0.7390188077726823,0.7538522387744965,0.7338917574391007,0.9457672342724527,1.0492856731163003,1.1981221605183503,0.9990409343355205,0.7881304249441468,0.7498669749393272,0.683526494704485,0.6533819585183286,0.6359192665436587,0.6547558377779252,0.6727540348835909,0.6810556215245065,0.6473027254485992,0.6426652056268611,0.6624490107986224,0.6897702029937184,0.6878467472473585,0.6989698883992439,0.7798634949786526,0.8317257549842513,0.7799337241047384,1.0129008966115205,0.973731600168559,1.594652318139118,1.6387949189411426,1.0529711472852084,1.3630518221899703,1.9345902988089003,1.437153487618679,1.2789409954089381,1.0682782134714806,0.9503412459164183,1.4234755747617263,0.801700583359253,0.8350187469869682,0.8876318632812475,1.0133023661020153,0.9455679269766842,0.8631998250669483,0.8937637109194336,0.7849416838332818,0.9277149548253902,0.8023324160739561,0.7917462263242124,0.9162519051820271,0.7719184419215612,0.8789757496903919,0.8064928491361332,1.0131762726995595,1.2660034923102785,0.9420951654544905,0.9890678542177626,0.7814382900297655,1.1695198397934505,0.7144376993344498,0.6965397476827713,0.6848269872102946,0.7148787071392982,0.7569986028347696,0.7945474411342294,0.9520877692248528,0.7008634842879209,0.8298167582243283,0.7072970875501067,0.6962980762521275,0.7470065404358942,0.6570976852625033,0.7353062812005194,0.6861431791534062,0.8093448310151565,0.7118112156085135,0.6558453450429339,0.6374630881684916,0.7030759978884973,0.6900465727066492,0.6675368001434149,0.6706842373325792,0.9212888432878368,0.732803718948146,0.8868749517672824,0.7086801467435128,0.848069620400831,0.8899940662539996,0.8869151696753199,1.2319816420025105,0.9500538129181464,0.9673442654689153,0.9737087594796016,0.8676409582221515,0.7761096437156612,0.7183735411103671,0.733584425613198,0.6993512332929844,0.8148985410716444,0.7682925844006119,0.9051497348427301,0.8821509312071865,0.779407889482946,0.8040784667517874,0.7396500222904435,0.9025644662555361,0.824128362823958,0.7605020825908098,0.8572652278725619,0.9235522192218275,0.9150162018920434,0.9482225771164574,0.903535726921619,0.9860106417348345,0.9984689684260424,1.0003271850740396,0.9196598656043655,0.993707824419515,0.971761528777865,1.1244547789456079,0.9737474719291803,0.9722072279297262,0.903235834856629,1.0805175982586153,1.106557315312285,0.9276058130161189,0.8485478017322536,0.7961956647792702,0.7148956015523881,0.7291906545648298,0.7264715665868972,0.696741658865243,0.7026465621155209,0.7989560232992056,0.7386685512641722,1.214866901393876,1.5706780916900387,1.1473665094691778,0.813308023296138,0.6932693837272006,0.7538308154994807,0.672207001178806,0.7278817150048387,0.7426295950969607,0.6906136249988301,0.7852557692717431,0.7626381614101206,0.9280757988131588,1.0441793640604633,1.0050976588080962,1.1776224388924523,1.2092677625625923,1.1839235322714685,1.0241627341976967,0.9457205899975425,0.9100682592164298,0.8303588699532317,0.720831746833066,0.7510940842046413,0.6896255682649437,0.8764875301117334,0.7104213878658676,0.7935043399482257,0.837555207353224,0.8360581482052666,0.8854671741132526,0.9297715958903726,0.9252887583278185,0.8926231049290757,0.7899440566755677,0.9748007440893263,1.290860849663216,1.1549712298513113,1.3160414357247956,1.0977134968306586,1.1170062963275247,1.039735651135732,1.0384850498096578,1.1074810956054597,1.0987990462731134,1.0878441583058684,1.116857775866565,0.9724418571757091,1.0776749622306456,1.0492986801939947,0.9739564500926904,1.077074048755839,1.1238887052444844,1.0347638058284094,1.1324139036955114,1.1660593054020452,1.1572199206653677,1.0772223997223194,1.1858504587279937,1.1955092864221808,1.106326008624571,1.1651794267673732,1.3150530371001474,1.3691133541126865,1.3775730110887308,1.4704351741277824,1.3203541235101828,1.3819899742922344,1.493191792385423,1.991493628058278,1.6647435853633823,1.7245570068821234,1.2916058476618903,1.2761412847748457,1.3058931053388605,1.3419995922514,1.351219753709523,1.2454734079723577,1.2724381767445188,1.2973792604924161,1.4568670202859075,1.2439344243717867,1.271033258909206,1.4521716172123509,1.3195511905905943,1.4126944021346257,1.2005377970182345,1.0819140873230693,1.134503437121642,1.2144239469056457,1.2260171531907729,1.3551842526507163,1.2763142119453574,1.2356256542775448,1.252098444009449,1.4126158680804375,1.2343322306051938,1.1589824667120212,1.3572520015080103,1.3962009807444438,1.2063501363440303,1.3546965322254811,1.4650899574900498,1.3894806431958502,1.3077838299456002,1.4457846516841781,1.3524840246054168,1.3514312558984969,1.2546758934873665,1.2811415957310568,1.3781518890736202,1.2458992878516413,1.2256242190189175,1.3082982554294669,1.3151411457374171,1.2374741300708632,1.3822947161291426,1.4245029787805228,1.3858698522353978,1.3419003326334678,1.438857436741451,1.6726010623846757,1.5131154058724292,1.4813693240809371,1.6487848409002832,1.7187882390129368,1.8419932131007872,1.5666809201379106,1.3777768781291628,1.29884069248999,1.5486387984937058,1.4963317599282997,1.5974006382025223,1.3953236807244773,1.3278999208431432,1.1030406204588465,1.018537696664526,1.0012185514828034,0.9459154258641894,0.8669655980783406,0.9276031867701653,1.3984630571726093,0.8507874280842993,0.8912477010646195,0.9379242404349898,1.016583238044914,0.8198156170138687,0.9570188541255391,1.6022150663692898,1.5668261761769346,2.533917301330683,3.917095984429346],[0.7325760747754958,0.6614813213548679,0.6718042824181696,0.7031778768871544,0.6205146877207001,0.6600590149510632,0.6251596689314154,0.6515869616900434,0.6000302424388327,0.5809504777955673,0.612480124361349,0.6772038217599669,0.6048788526842851,0.591254983685906,0.6813791544712268,0.6528216745142792,0.6393855319526309,0.6584936745325891,0.7245433499720452,0.6803093320387764,0.7013203510039346,0.6828553389890619,0.8415173346603642,0.9492546020047067,1.0551937702495255,0.8711213358497165,0.6849361417837015,0.6463027877590914,0.6421618763653567,0.6575411401589535,0.6838725277403717,0.7072299910549137,0.7378688607020029,0.7484018023463958,0.6990422775235311,0.6681697177784988,0.6775239535127532,0.662912536021852,0.6273778041403355,0.6410042466276805,0.7304302317728776,0.7378100208660031,0.6976167057697351,0.8869165861364997,0.9389325959956664,1.5979667178112211,1.644902731274864,1.011685306552077,1.2890673326786504,1.8080835619125404,1.3319606571493925,1.1652528878460013,0.9721487144041826,0.8407131677339293,1.3755679593561387,0.7494027425442923,0.7703032545551619,0.8496688332303006,0.9853466761893002,0.9143503809564898,0.8476468709566638,0.8809287608658355,0.8168972475534205,0.9263575426245213,0.7634869766666644,0.7769120989821017,0.9211656788359917,0.7551972916077447,0.8556517054452619,0.8040128091160744,1.0092610867327947,1.2723435954259514,0.9523194439409607,0.9933793595380914,0.82219006217066,1.2088938682227992,0.7532324436495141,0.7733116057670975,0.7377724566074547,0.7493533198112053,0.7660552161347653,0.7875476776641408,0.9131618955095048,0.6469589451886617,0.7685882309602032,0.6685860345538709,0.692611023065374,0.7642764893007866,0.6792925653732791,0.8275539438251092,0.7439624834181451,0.8489219108388126,0.7751356141368986,0.7401500385165477,0.7127022698855119,0.7761286832783163,0.7680208670678462,0.7419429089081494,0.7387423580438737,0.964373173272611,0.767893222033937,0.8645934406876737,0.6938993320787962,0.7957310597563338,0.8068158732590931,0.7713285257122204,1.1356376740535188,0.7635918037091851,0.7843868934664773,0.9034623718822662,0.7277104849131105,0.6495063998584018,0.6115189936608818,0.5947492906146861,0.6011479329965121,0.6628212772019373,0.6256864966940904,0.7080628120643684,0.7405023782594629,0.6780600044089533,0.6810732594715532,0.6209858669540299,0.7089144562116706,0.6628192109965606,0.6152249838662098,0.6737085331329054,0.7635207147625142,0.7199752721549638,0.7428440062626629,0.7178903115546736,0.7641455826840119,0.7984488529564604,0.7666661108905035,0.7591957531040334,0.765330561183515,0.7537846824731624,0.8768351574204328,0.721039916932809,0.7134272658311924,0.6767288429140479,0.8265132221453743,0.8688320061174946,0.7444183342495935,0.6672572683679409,0.6362506489252094,0.6302464544995048,0.6088420738237116,0.6544676817014086,0.6157189104698843,0.6471459857827732,0.730708022062822,0.7165278638861353,1.165162603011124,1.5591267814715306,1.171936343323914,0.8010715815640689,0.7124704046439048,0.7310765913474034,0.667530768826069,0.6455070254858039,0.6207995843105012,0.611891447675419,0.6317805602760855,0.6342282800639368,0.7484213416031382,0.7861178470392394,0.7651282668215171,0.9411298388887367,0.9674283116462102,0.9496748770392124,0.7784682695456686,0.7077676521349866,0.7203939360371844,0.6852062435596216,0.6216112314355247,0.6745560961749675,0.6474245147799966,0.8539242010353885,0.6538017174497398,0.7242240034193196,0.75472725015091,0.6886063795884227,0.7130776433352516,0.746068477372482,0.7574280978763425,0.7422544520779462,0.6798115790472523,0.8690303857333133,1.2124962485695785,0.9880370354064438,1.135937191955049,0.9396239627724625,0.888453574235018,0.8105848031594345,0.7980307345124397,0.8664681690452068,0.8658181504218143,0.8349482000457699,0.8688268760043588,0.7740187522996665,0.8426802141381763,0.8329228214812101,0.7774786571181401,0.8485077339976868,0.8926052463067727,0.833868064189359,0.9005962438650497,0.9298668561400218,0.9384119785298077,0.8704938609656149,0.9592359726340343,0.9773266479309498,0.9107290007863719,0.9605216463561039,1.0906645981533372,1.1198030439394897,1.180101819521961,1.1910140499958608,1.061349918988893,1.1144344576921663,1.230364902179504,1.8630607187367918,1.4646038612446084,1.587353725109073,1.0490038452603312,1.0224722818212884,1.060920895066274,1.0901194932044715,1.104239448813623,0.9744232805203762,1.0197785964416672,1.0420602042526577,1.2010103002859134,0.9805962206557015,1.0392759692191922,1.1817010399194594,1.087338686847268,1.2480153533189888,0.9755818718377809,0.8775044403226188,0.9062998382001445,0.9831639639349936,1.029734641628376,1.1890306486574926,1.1078456789833302,1.0299901557403701,1.028987953454404,1.216236119037816,1.0639382595087556,0.9485853446830297,1.1433343497372441,1.193076560540076,1.012332652325359,1.1231862721436983,1.2508501749368413,1.18602346575391,1.094134404863098,1.2183917063823844,1.1152695673908262,1.1126718595087763,1.0175572888274034,1.029041864211035,1.1283042609468925,1.0067609146948189,0.9824858529742219,1.0500220344937734,1.0593327312121323,0.9745674121061474,1.1042273830361973,1.1625807582015848,1.115918742444629,1.0837939783787716,1.1560505927589506,1.408991922425018,1.2194927932698645,1.1905169210733877,1.3267550294605923,1.4363516417555333,1.5287382243898124,1.2751576243756673,1.1061349021364395,1.057583390960634,1.2901114311236042,1.2407470755030092,1.3159139347131608,1.1217835955931603,1.0740584940990807,0.8704515810069168,0.8035780924005119,0.8249404671774828,0.7680691198237478,0.7356914274179192,0.8304135282421067,1.417426613683427,0.7352462476228859,0.7695504810487074,0.8579731359345326,0.9611163908429906,0.6961766899681152,0.8674007514819607,1.3332477745675515,1.3572582023695448,2.3055255427956807,3.390397012546119],[0.7549069428849192,0.6591489911556354,0.6499455576539975,0.6664490439247855,0.5824936726297055,0.6083421119847316,0.5689731126920373,0.6483561553611068,0.5829007308513163,0.5531403012276053,0.6099689419098119,0.7259653888234046,0.5979173394606921,0.5764155941108159,0.7021934589684166,0.6783495283060659,0.6229165004934012,0.6493082975520589,0.7131374709414755,0.6453634403010613,0.7026904761991652,0.683849770613057,0.8552067890107543,0.9388787522280173,1.0172508331753318,0.8622809864927674,0.6603345189602098,0.5933257419529632,0.6273537288008528,0.6620442891589329,0.731547634668615,0.7607740305860672,0.8323098217432687,0.8178244193241597,0.7438222958669144,0.6808006035451903,0.6930955403713506,0.6506888697374992,0.6101708082707719,0.6313269203606805,0.7585224022500074,0.7166515207232015,0.6874520382561643,0.8518471913404345,1.0310013635219477,1.6815772468102455,1.7240262135892734,1.0799394404033895,1.3089391155585697,1.7524958138155222,1.2862777231887632,1.0817591963610933,0.9462163750133907,0.8122357712333488,1.4238151849226621,0.7648315875444518,0.7544729780898906,0.8083440214045823,0.9534826789658003,0.9055707126125961,0.8489469993540094,0.8743214826619259,0.8126772964205011,0.9741959191771206,0.7722528937098104,0.754706568752514,0.9209485009105928,0.7606069243971687,0.8303332970478055,0.7931497795001212,0.9786747606004772,1.233744711948336,0.9532382786512661,1.0112918358118959,0.8212808453344274,1.1987131310253374,0.7711559230708886,0.8389712531293557,0.7655326048789086,0.7373283750540661,0.7839081953006013,0.8013102480869899,1.0533510813240285,0.6640777895936978,0.7504731572070624,0.6619000570920133,0.6816965762691729,0.7963793229704227,0.6831859039373486,0.8698815037871317,0.8203271888007049,0.9479222138547104,0.887802403944358,0.8456697348827928,0.786045024408311,0.870976338477733,0.8240599212748837,0.8461342049396783,0.8343644778124866,1.0671481640772877,0.8372950505441081,0.955456134546642,0.7501831577838731,0.8279486163167471,0.8048358735241655,0.769654129038765,1.1503076018568856,0.7355046301748617,0.7591853281223289,0.8873469146663947,0.7017233051832668,0.616026644411958,0.5733325354804722,0.5534568951581832,0.5504505636874454,0.6097415024484738,0.575532098675213,0.6579116001598293,0.7041343508217777,0.6215064386032033,0.6470512013539073,0.574676234749068,0.6695834911882942,0.6127925914110308,0.5658529552796672,0.6189672511617376,0.7280318392066905,0.6832728103052988,0.7079521013835676,0.6797144265751206,0.7137382254395604,0.7561351897849002,0.7031722804107639,0.7255956376822642,0.706025758447638,0.6864497980301008,0.8686271806990427,0.6997490254759606,0.6837848385352192,0.6388968062584593,0.793757178300377,0.8207250070657769,0.6965632618597117,0.6082928215297856,0.5738485828105953,0.5865939590339886,0.5629560274091205,0.6010931549402303,0.6008921232120545,0.6555763047669422,0.7169831786048565,0.774822590773651,1.315422574074221,1.685152925302266,1.292761723506895,0.9173677095643787,0.7713560112823679,0.7606267033958555,0.6889193370463532,0.6721132332071192,0.5927277345219826,0.5514940643374499,0.5783476768235556,0.5774356172719203,0.6996612124445647,0.7624762664659166,0.7321263163487622,0.9098853180016363,0.9467607486345545,0.9252643782522436,0.7479272110274834,0.6579348094784354,0.6673083677848614,0.6329068049987505,0.5836427507162087,0.6606169380545488,0.6590655140479841,0.9248866332277135,0.6307502707750229,0.7196824992754309,0.7222211259416111,0.6523263592281092,0.6632474683228794,0.6771478653715969,0.6942922797939985,0.6741631479182184,0.6034944516548595,0.835159553515972,1.1496720592993275,0.9191735332111853,1.11077088642432,0.9024043650666007,0.838774755997257,0.7629989154215883,0.7345899702708415,0.8231492760842949,0.8243288312214452,0.7981427374537889,0.8333847708345521,0.7553911842337188,0.8272740986605758,0.8568005629797092,0.7728273151523053,0.8298653894272657,0.8974931291805431,0.8437612407842864,0.8691222031688667,0.922799061005642,0.9806976864453052,0.871034120787415,0.9489187671182615,0.9938968518712614,0.9458255065478437,0.96313071367121,1.1068472497385813,1.120827619676761,1.2425822810020604,1.2234259259025015,1.0625428705492375,1.1328344884843096,1.2684276822790108,1.8786365976231159,1.5137238770755586,1.6706946918054408,1.1007099166840115,1.0913391512129234,1.1162390984514243,1.1321962054782562,1.1347244996457184,0.9560965980327845,0.9942613880910234,0.9992227396623341,1.1321047437146599,0.9120776573996335,1.0002469609412667,1.153371469190357,1.099195307506402,1.2371482641547908,0.9522210847387625,0.8769419215906994,0.9094476067617263,1.001069368455929,1.1161402864045162,1.3151751430226224,1.2380870577067715,1.1104545246946367,1.1463760048841198,1.359668880997606,1.1902121314656995,1.0446974051708,1.277709845301194,1.341179074518349,1.091395203308569,1.2125887333249772,1.3736177566650785,1.2785885084342286,1.1623928030030561,1.294581680173605,1.1734896449942138,1.1753193237818513,1.076704896498926,1.0891216054941801,1.1590858667764696,1.016851928332316,1.0035134623866933,1.0569647178707202,1.0610504215493586,0.9647208676730176,1.0924575601599178,1.166390276640404,1.1172565246172919,1.085283442133352,1.161621692015079,1.4395355113112038,1.2440577686617753,1.2055415291123963,1.3878457641813031,1.5029208316027847,1.5893886956331058,1.3063638185791133,1.1030481653222373,1.0280002906290007,1.2848552119672314,1.2277224593004277,1.3255868718482706,1.1083255612229086,1.0449943827533261,0.8353544049282922,0.771347275091272,0.8093786794741079,0.738057508707692,0.7335196872500657,0.8643370529384075,1.5055834942629382,0.7166967047634861,0.7668138986655665,0.8706938327411633,1.0052486893377475,0.6624590609727677,0.8805830259960744,1.1995742389238415,1.625288781163912,2.6195025359492377,3.5492459531416056],[0.7353822334956677,0.7357950160814193,0.7483317124362221,0.6440998440229616,0.7199055092347718,0.6133633570865668,0.5136814997704169,0.6132532995489837,0.5409906023103508,0.4679031510743838,0.5153231761325581,0.6071736192563859,0.5053446890296938,0.47241239183115197,0.5849742816088107,0.5659866754924646,0.5061957854612008,0.523727421294763,0.5482414528607197,0.5198804694922484,0.6554550334548126,0.6431606484414433,0.6441442907241731,0.7866175026205591,0.6771711571799088,0.5681759847922311,0.5091673625226205,0.4510704351165238,0.5163298013057278,0.5667014644059092,0.6199617590791703,0.625827275740663,0.7245712072900848,0.6836617896499999,0.6215635330083675,0.5670874650937315,0.5972078760215234,0.5702108188747448,0.5505275566915445,0.6331654912997913,0.8708336613419174,0.5232124705775383,0.5510968236313522,0.5832634357071558,0.8940776649122798,1.6351187103141587,1.6655769685074433,1.009274804682916,1.2296520400592528,1.4881070875574853,1.0373022937033347,0.9135728728946222,0.756339865451692,0.6391287915328299,1.4053896815510003,0.7748526083807311,0.7016121667117311,0.8139794942417062,0.9331407618052666,0.8752784267887166,0.752347002634913,0.7424481616066175,0.6799090838192086,0.8383467587314513,0.6490364959050817,0.6555996199355734,0.8711921956641974,0.6401665804449791,0.740829956058905,0.7156628462018423,0.8964623511705722,1.165872406259145,0.882635704157745,0.9822395385762736,0.7376073902079311,1.0976859078310957,0.6387963107775504,0.6766213735143164,0.6195803382696352,0.6490375436620622,0.6970563093011752,0.7989818975146786,1.11118718633803,0.6999874447185952,0.6329565257043835,0.6080491091960766,0.6117231794202413,0.6821525081851147,0.5687372063397786,0.7243573186330204,0.6796208011354059,0.8785193770756565,0.7536874199241136,0.6875168797601158,0.6419592121988108,0.7258420705739652,0.6759664118931734,0.6982402112090257,0.6929940944010619,0.9164145119861473,0.6863518410895303,0.8405079309486407,0.6374783188567016,0.7262296197721865,0.7310084742324704,0.7325142004586487,1.0278987063793723,0.6944740932158261,0.7334141059311542,0.9163908718976341,0.6603015983573403,0.5911303355538926,0.5322557231280702,0.5558972834238567,0.480364691126186,0.454707069093937,0.4561116630300076,0.4764879391684587,0.5636496941558355,0.49544295652652753,0.5102239734111169,0.4778439444980838,0.48267501349143144,0.4333247936817847,0.47437536853843293,0.49109651413266614,0.6287517822848843,0.5889186156916537,0.6223242923951329,0.6500173706330974,0.6523802807038802,0.6921160118015234,0.6202345662781037,0.6928628410136004,0.6194242154630332,0.640147379156782,0.8023618047495337,0.6331478486285491,0.5777213507175502,0.5394097668931986,0.6295410382716546,0.6707059915856941,0.5505541035449746,0.4887461464068689,0.4534905102864876,0.5062246646971162,0.4739346983043782,0.5104689083001865,0.5621595552382264,0.6093766523776547,0.6609261666863421,0.7266851506765093,1.373138303294052,1.7271486251722867,1.2411911150534876,0.8297098928665994,0.6653124319429272,0.6849269961827829,0.6035035978359694,0.6823194708369585,0.5755658937795323,0.5224599887001653,0.5010494487444969,0.4850280283273332,0.5568932966169293,0.7143981529316029,0.6514858643720908,0.8033890900911276,0.8669428001333683,0.8163913033251681,0.6507968044290934,0.5918955679820043,0.5683503230121173,0.5624220013966862,0.5485509481810908,0.6237795277082426,0.6044353517340467,0.906333744226448,0.6152366654754794,0.7010545447813001,0.7851442550977896,0.6217867086956982,0.6362009411833968,0.6140174608736907,0.6116783436275574,0.5785016423267743,0.6682351605474532,0.6591796970719203,1.3134983133719726,0.8784313512396996,1.0511245851991067,0.9501376277749313,0.8470475474233617,0.9023732608491875,0.6870145657297657,0.7450098567669564,0.7587379042874203,0.7216206807939612,0.747893391340417,0.7941810840139022,0.8121634843586732,0.8628931699240078,0.7822573201818563,0.8014112656822305,0.8976642410203929,0.8717959346041254,0.8165188280028528,0.8957344747801714,1.0076009866740328,0.8942669406598054,0.9281346707723518,1.0163688197306935,1.002749750015503,0.9534806683951249,1.0522291502902485,1.056880376661527,1.3274969151836986,1.1265109198897147,1.005213045613657,1.1251713012548898,1.2409583227524876,1.9835182541368797,1.5371048793299653,1.8062129141433148,1.075439823220645,1.0686641415793283,1.1050112244070291,1.0930842140428876,1.050396223293727,0.9553470904221366,1.0275937155970325,1.0044265080257018,1.1574611228115792,0.9373378699848742,1.0466650817661105,1.0861740121907177,0.9714622362034453,1.0806901353535476,0.822507519828856,0.8159125184800298,0.9364354404127812,1.0435189558774287,1.1660328866903815,1.2469711438275086,1.2231563621128614,1.1277244022664932,1.1474862563255244,1.3674577925010725,1.1817013302738615,1.0956305763346268,1.2875818911321377,1.3618726488345774,1.1499706405140564,1.232453902459725,1.3826454565815756,1.3104603631670761,1.167225400439473,1.2609478112042445,1.175952981245739,1.1567921430701797,1.0938646559215646,1.0809650483554123,1.1230175692006783,0.9948926919432355,1.0579802008776378,1.0148628294054653,1.0223483019612882,0.9338918824392657,1.0111377070186789,1.1205916182272735,1.016607676590961,0.9923199847793293,1.1130161167992796,1.2197444746848713,1.060230414427724,1.0153824423167215,1.1701048359704078,1.195631040623253,1.3215441747541568,1.0552107569799496,0.9597523547122271,0.8874538340070599,0.9868572335551254,0.948453697346754,0.9821871012254941,0.9001019928827241,0.8723702167072565,0.7381658827863737,0.7285437614582396,0.7635810191172776,0.763562279453578,0.7843670881403288,0.9845117275314139,1.5948904065772338,0.7565018727185199,0.8273934861556699,0.9351689368786037,1.0437928138405514,0.7770423549488656,0.8983699439873236,0.8638075362071638,2.0361571410741175,2.9572055622843876,3.419898638943724],[1.1863902743947958,1.190129265555732,1.217031724145505,1.1071508814986784,1.219910047907564,1.162810379326201,1.1153127044322269,1.1597776297563873,1.1661071496979836,1.1392283821451015,1.1748469460363509,1.1930374240418942,1.1620773073197375,1.1670226816973766,1.2291981472654356,1.2142616615846467,1.1572870486755362,1.180149405431437,1.1876902594265746,1.183305737926762,1.3104053601602603,1.290605679508673,1.232741544718857,1.33450511589059,1.0822405313267263,1.0908293260241222,1.1652783829183921,1.1441524917886663,1.1787805949873236,1.2024730329908166,1.2573106522122328,1.2220439978291653,1.27373993096107,1.2520328034450738,1.2176007869127974,1.1988410839497652,1.2192891679346134,1.19656822967204,1.1770837524989548,1.2325199508946725,1.4378852140326612,1.1067237235585579,1.1424788510120538,1.0774003589626848,1.4036665537639015,2.006026338037727,2.0788352131425456,1.4455183016202025,1.628316471232079,1.7268188057119611,1.3218252768604295,1.3866087159973164,1.1923095677070883,1.134664012667365,1.69826891594118,1.2899578029340333,1.2316529553675846,1.2893547824349072,1.3913808413557514,1.3522396001167467,1.3040258535227107,1.2921746640685436,1.257950899935994,1.3287840771608643,1.2692226847475025,1.274016710046098,1.39772402195484,1.2574754233194767,1.3308899532042124,1.3003732592590882,1.39742601484664,1.5577582420107563,1.4164139658708017,1.5225864484235319,1.3188051940701468,1.5398303659110564,1.2365121041321303,1.2498502480718572,1.2223685394066317,1.242051026825064,1.26666082538265,1.3765836660792627,1.5888759997797504,1.2596220682004158,1.1817966545890768,1.19984271554702,1.216527117341082,1.2366489484517555,1.2069400134293362,1.253551636261572,1.26534466133233,1.5017726282902066,1.3595942269218022,1.2919652378572921,1.2569496006884884,1.3208280287643923,1.2643563591394102,1.260945611647644,1.236023934581206,1.3363768068668156,1.204108012166021,1.2945102231937773,1.2041309192679543,1.201422639976682,1.1941641694974552,1.2109603043999855,1.3711269980005298,1.1647317320260697,1.190350307333532,1.326105019197864,1.1541834220754161,1.1545202882519732,1.1356311527545175,1.1655408342050888,1.1472068930480863,1.1314011642159536,1.167785342862146,1.153062910232789,1.2262138016450972,1.1774328430722885,1.1952796744220209,1.193595689656331,1.1765414753365193,1.130771608967128,1.1185902688751024,1.0743198940257734,1.1412980134306565,1.1081278272970891,1.1069017478043826,1.147779078402742,1.1188327484788263,1.1333283208127616,1.0879158270315012,1.1712054347329033,1.1108404322503387,1.1534129169115486,1.2178742221525052,1.1744648514161662,1.1575167124076728,1.1542938120395958,1.2124230394111501,1.232032432511614,1.1833067169373892,1.1523724069431378,1.1347202718404472,1.1532922555533305,1.132979094871656,1.1195001352715586,1.1664348408793423,1.1958033061542948,1.160601009072964,1.2428227272783707,1.8168696269160765,2.0404668388862697,1.5301188680144062,1.3161071649534686,1.2123071853528942,1.2026104215791016,1.1874989140856524,1.2264627492113582,1.154108339362085,1.1528720935226762,1.1456525991068782,1.1320378008825018,1.1340133311945522,1.2435338142144643,1.1857006002798927,1.2574101909598558,1.3035562833862098,1.258879636775197,1.1578174417165528,1.1576546442317506,1.1301570575305313,1.1314298689366875,1.1525507702812716,1.1746877217342424,1.1864650686341305,1.35665211327993,1.2007412264669903,1.221421956676394,1.2927201506342065,1.1609909135529755,1.1559482302653603,1.1276522760524978,1.149750735961232,1.155079995104463,1.2832688390326346,1.193710599030406,1.8214649126468636,1.4004675616269306,1.4894345752381835,1.4839750074720373,1.3214201060329687,1.3668207276389752,1.1525682070666852,1.1793674350906027,1.1783068111210409,1.1549832790460397,1.1554928262558444,1.2349580699930338,1.2272207037352219,1.2950552968662368,1.2314404652557973,1.208011415020433,1.280577093040869,1.273602367924968,1.1975925049514775,1.2400968452043402,1.359175192725702,1.255089307525683,1.2248252709225345,1.3113570736512639,1.3510319264866408,1.2319555563317957,1.2711006537324652,1.2603131624781447,1.5491947487003708,1.3070871599149945,1.2490670169630853,1.3668357593230036,1.458531486722549,2.073003772207799,1.7421069631925152,2.074642301732011,1.3739211332562737,1.3791597519651797,1.4133114417844972,1.399009348655599,1.3543642502412643,1.3108413676587378,1.4041835762270367,1.3294786590642267,1.4644422859061164,1.3105168025560727,1.380956040923511,1.3495850018760727,1.259078146156128,1.38237849469951,1.1847229636531589,1.2171697533376002,1.3192783699747797,1.4158934516466688,1.543243631735775,1.592301154184501,1.5827806740714632,1.4835144542411587,1.5113380365088753,1.7257404306755826,1.5584175586925926,1.4610258518637047,1.6441454995671145,1.7194793119366294,1.504205622509113,1.5661939660762627,1.7089608145187904,1.640897272070821,1.4836120669021131,1.5730165348050835,1.4845046893961802,1.4744887868863004,1.4338778794907328,1.4184195635445058,1.4250805337163577,1.3226304522676533,1.4038816141445696,1.3068528481006874,1.2922775019249302,1.2593390239759967,1.287390844128471,1.3762852211529604,1.2682946480185058,1.272230473082399,1.3490012232992532,1.383908341774555,1.2565591797902955,1.2208508604020585,1.357582708459543,1.3270860429172804,1.4811864110011257,1.2502960660602176,1.1921692232738303,1.170025306464534,1.2482828974545468,1.231812943110333,1.2430118254621803,1.2349115844299834,1.215125821638562,1.1538375796150409,1.1565289446005627,1.2110301652824003,1.2204704830590873,1.2413598424775047,1.3780825101468184,1.8122547131551427,1.2230519832569917,1.2415176690531895,1.323672883439033,1.4393401007961795,1.239431349310324,1.2399009907979361,1.1514157895074868,2.3156585544553585,3.0976731503887023,3.5531196460733683],[0.7298945502839587,0.6811172802490588,0.708393417468598,0.6302234576178283,0.6891322635683368,0.6222476540591879,0.5457378632227623,0.6637013291085166,0.5994511016505439,0.568160540756582,0.6365877371030059,0.7246876787309129,0.6149405348954342,0.6051752390232501,0.7104296435017334,0.6826593439523798,0.6412851181210221,0.65319225279405,0.659247443704657,0.6384509533290643,0.7816683694901911,0.7546627295572536,0.7873720406831092,0.9190418313588397,0.7343976477573608,0.6723512401220384,0.6222123256124276,0.5778954344533164,0.6291745890185179,0.6778707526539934,0.7738108653373605,0.735768265317706,0.8930498844851783,0.8556670336804987,0.7648832920102336,0.7003502221335846,0.711825442542241,0.6581201317472978,0.6515400407071852,0.7222691763808371,0.9044314767775986,0.6442798568281171,0.6654162150063684,0.7263538860263318,0.9244553644649537,1.6170030479027964,1.6253159337663694,1.0452361450047922,1.2441060298258921,1.5027383063944548,1.1051275475768059,0.9263753416637422,0.7949792161451702,0.7244329495149845,1.5262920923259355,0.9153862469434872,0.8308710165958482,0.9818306338467485,1.091661106999414,0.9757671224192009,0.8797053305215441,0.8339884475141811,0.8063603941166951,0.9870963095100727,0.7793238253848862,0.7990008282875206,0.9684145480826937,0.7433508871987924,0.8443537994801067,0.834756176998816,0.9654226367800468,1.2552267639883805,1.0051185045993667,1.098610812873072,0.8641968108928573,1.295506430226629,0.7914384594187353,0.8386371656957395,0.7815364812992146,0.7937573473674108,0.8343842772812352,0.8850674776046251,1.295020102455667,0.8295080208919863,0.6588414458691297,0.6941294700806732,0.7072843164348412,0.8129212818440882,0.7214246764465844,0.8753755846304716,0.8210787185000061,1.0656154358402001,0.9436639699061324,0.8769232060052808,0.8002587512103713,0.8930611778154854,0.8172869931378126,0.8383055507133403,0.8218891417048468,1.0401958186389804,0.8163351044448207,0.9362746776073547,0.7487439287256226,0.8132612041456758,0.8191829289919544,0.8075636096597698,1.077300113118765,0.7617277249412838,0.7947540502978719,0.9848824466769955,0.7338845259601915,0.6406081789256374,0.5819027690668568,0.6068460592916229,0.5677065054392694,0.5661389389050412,0.5817143204172324,0.6145358864700414,0.7318074694008774,0.646699582025665,0.6688137950526202,0.6249141532873372,0.6257808824194853,0.5452223513241742,0.5547563618951443,0.5615190072077367,0.6500873688453314,0.6368052277802918,0.667081509762085,0.7019153870174302,0.6932724185842475,0.7278362142554187,0.6680525826378629,0.7300506773993124,0.6888725406508025,0.6935817670833548,0.8456797233262834,0.6732921696931462,0.6632303077620367,0.6309460486648288,0.7425150878126819,0.7935585105926048,0.6749668766748281,0.6027502012832607,0.5762371647808785,0.6123084563212007,0.5734228064594306,0.6123265982164069,0.6256369449892271,0.6541276961000378,0.7364463803715836,0.795203044175853,1.4229369917170547,1.712210492871957,1.2879697235250374,0.9551156410015887,0.762549745367836,0.7828217263717767,0.6945349530093621,0.7470710405147715,0.6498325749638075,0.6288984387525747,0.5871571865101594,0.5746704504789168,0.6235538596868074,0.7493687588085521,0.6983880171732902,0.8282458719530471,0.8827394162758785,0.8374280774367172,0.6988306263262727,0.6447491840125421,0.6280913414283662,0.6317832612270513,0.6344476213885641,0.7166340770303709,0.698291573046112,1.029262349654749,0.7027383166231975,0.7841527053640531,0.8708124250062907,0.6907273382782949,0.6890192322597382,0.6540591548197773,0.6580845741217223,0.6499980936143797,0.7297240588676785,0.7293128487246385,1.321520301112131,0.8888926061672475,1.0623983419132845,0.9689777299900899,0.8479928028273483,0.8757907258262423,0.6968334555894264,0.7688532765478074,0.7888351206469247,0.7370082005832076,0.7659003632791636,0.806325334551957,0.8518467007704826,0.9147415463086755,0.8156005486449077,0.8155991347877187,0.9171871183184134,0.8820186334727392,0.8374709456737789,0.897502647122874,1.0104548727108729,0.8824422104859869,0.918174264764348,0.9856951508942118,0.9676893197625112,0.9383191436822466,1.032530214911242,1.0454990604475078,1.243034946250406,1.1107469699616912,0.9986693176480615,1.1122860389896705,1.234776325511726,2.03378084585643,1.558022044484632,1.7661225689562603,1.131306080202056,1.1118696138616222,1.1208636237866698,1.14003863235019,1.1049631591550086,0.9910833105411723,1.079272592053748,1.0359439854125496,1.165794882522701,0.9606524098678767,1.0693001944060327,1.098371658960737,0.9815533923234512,1.1262307305202903,0.8745772420518475,0.8485833218391795,0.9786375798385409,1.1044266535823006,1.2477859400329077,1.2947547784811706,1.319614404843208,1.1921134364828911,1.1836285136927511,1.416884827383995,1.2726644669651592,1.1084461465732505,1.2947475229955576,1.3523366393550653,1.1335418362342276,1.2468254206143685,1.3754827900584399,1.2662473551366955,1.1718897900171772,1.2908507258269648,1.1596421417227485,1.1864073883836572,1.1309057330989603,1.1114000773479076,1.1375817764039693,1.0213923833134249,1.0744842008017428,1.0337057433874646,1.025643381725361,0.9262102595684443,1.026900856028715,1.1541581116098014,0.9996528080023283,0.9662131169131661,1.105095221715913,1.2300051669293286,1.0486430688436505,1.0090519064006616,1.209445812783134,1.2205102139244062,1.36241241223638,1.0925347108490975,0.97474152907744,0.9173771822090065,1.071251183573561,1.0258906673952257,1.0805164201359598,0.9475148081653584,0.9264848399248308,0.7616466881642323,0.7461965801099596,0.7848336460714684,0.789713918143701,0.8360764926422269,0.9902103329511285,1.6497096277014944,0.8057723998427748,0.8474539063558912,0.9978078356798602,1.1005671071470504,0.8014915324821832,0.9464748606064499,0.9950002235263653,2.0556602950635954,3.099313943642472,3.7517141251629376],[0.7717652515677395,0.7242915118518919,0.7513687889480692,0.7111063061775335,0.7069639554788113,0.6820109717271442,0.5996117476930591,0.6543632378452724,0.577458168762188,0.5486380420286354,0.557071674653678,0.6406404562670548,0.5536982461463258,0.5477284979792677,0.6194724003945956,0.5894711445178326,0.5787964232893511,0.5922915448269824,0.6573489244929294,0.6022241613923714,0.6529534717576749,0.6394983803274534,0.7470103806077042,0.9028751442706099,0.8468622906780924,0.7457781510779268,0.6034521756093253,0.5719764898480786,0.5893471684094549,0.611191551138789,0.6584346790295421,0.6593043451531778,0.7840253715579281,0.7310410024326093,0.6732141307467587,0.6203708264702926,0.6221943346357243,0.5973211513769056,0.5858696628617153,0.6420309672160395,0.750056465925633,0.6526145078498466,0.6185487554951226,0.7839073000918365,0.911977741058839,1.5736270369425354,1.587391433598176,0.9822361940710232,1.2441562619793378,1.6174344353817407,1.2542612568873288,1.0119122533932008,0.8753110803244133,0.7717845103524131,1.5276949431625593,0.8168138670052482,0.7339033919582951,0.8809008859296358,1.0091989922022542,0.8426170892674624,0.8187615360177193,0.8264991608682629,0.7632923797460277,1.0139754485172474,0.7436079937155149,0.7055689459328816,0.8544303820769752,0.6982955262374527,0.7788005771424642,0.7573412849874024,0.8957943134857309,1.2304858472408489,0.9072810660460591,1.0037441817952164,0.7669921041267282,1.2012818769493472,0.7034579879448445,0.7424864448364267,0.6883120917742569,0.7189517323940966,0.7680375720387548,0.7691449577021849,1.1807916224173356,0.7431455614214035,0.7218098041697024,0.6330711746090921,0.6204555278308053,0.7119086627921576,0.6280321503408896,0.7708119590708897,0.723637341319188,0.8887672608990486,0.7970858746363946,0.7377412715617914,0.6779595502427513,0.7669801169142002,0.7327894880929231,0.7287156275045555,0.7280693656628154,0.9829327722433994,0.7597060740537597,0.8900872001205072,0.6979197851905697,0.7832554896253651,0.8118627034298246,0.7995275899028542,1.0877137299935247,0.8047381447169075,0.8404797477348256,0.9997614147460104,0.7801893776480548,0.661178215094478,0.6042236563027972,0.6084808882136087,0.5799844561238208,0.5944711636153982,0.5724800248470066,0.6684828651408343,0.7281665385384072,0.6240500192988115,0.658834988878021,0.5956477913940658,0.6744492726106542,0.6149090437912036,0.6088053335841028,0.6409799174254972,0.7491598923244313,0.7172851073596371,0.7529767744462023,0.7486457791753828,0.7784040492226405,0.8116168841963324,0.755521034066558,0.7655691029792085,0.7655685560402219,0.7474619542084421,0.9254141366953191,0.7303726310233346,0.722447021167823,0.6666583384090904,0.8243832242085053,0.8382082574270917,0.7016223020991094,0.6308929036583691,0.5978606781267923,0.5729590803152559,0.5562673729667866,0.5859168606422911,0.5958533757065215,0.6189982497508223,0.7147304207555586,0.7413300799070047,1.3218802860484613,1.6334522153909774,1.2389278265341264,0.886542407189841,0.7013097612154053,0.725423357760359,0.6330986570547656,0.6972127588151376,0.641754661801573,0.5921390424795124,0.60153497637783,0.5986514300837397,0.7061377633249082,0.7613840533781014,0.7490976613473255,0.8846661578230051,0.9463515579885701,0.899582895004993,0.7725597353151755,0.700537374863677,0.6874950435342545,0.6521210026015738,0.6159692824695603,0.6841536816761725,0.6335182982927852,0.9517358052879491,0.6476480866513366,0.7415558303694182,0.7983666452338861,0.6989508986135141,0.7160326295690952,0.7190737436635058,0.7254707963998953,0.7018978677684304,0.6540037258789441,0.8644851851381417,1.21249554269522,0.8581528533436746,1.0528748464464566,0.9329481495390395,0.8427732580807848,0.8285787840061587,0.7708701335451925,0.8476838623839015,0.8810656139356521,0.8089543802939211,0.8441179714363275,0.8496501787901413,0.8993011317451379,0.9389883396557042,0.8552578197493955,0.8757422475463507,0.9501464758114894,0.9138572666284845,0.9184925304392726,0.9517413798454796,1.0163403757873046,0.9303461239493913,0.9928400757931355,1.0296707408563557,0.9851394277080042,1.0345822345296836,1.130272584084243,1.1415972799563245,1.2558496604104024,1.1748529103495142,1.0695494555459706,1.153631976913177,1.2671767280527404,2.1096367037922255,1.5541584032064386,1.7421632981355093,1.1283908350433496,1.1301611175706627,1.1402154564191216,1.1722739329528369,1.1295087656175757,1.0157315168607803,1.0980021274545486,1.0650652073032878,1.168169823500334,0.9921289888375359,1.112896731988696,1.1266483427230978,1.06385353438709,1.2040367738789304,0.9591724865642606,0.9160698707752558,1.00933055404771,1.1156073334452457,1.236670900842924,1.2780001322567112,1.3129725006270634,1.1932816438836364,1.1779937790267312,1.4042406828288565,1.2405777958789073,1.092857500995479,1.269140020637515,1.3206383991246633,1.121003815023588,1.2178379628001856,1.3383012864392028,1.224898343247927,1.158476303078323,1.2735407986361407,1.1563904515639756,1.17822683426729,1.1232316144908534,1.1082245162178885,1.151122055989678,1.0466912883233352,1.0767588705554432,1.0668316907510313,1.0725713781532906,0.9759943522862687,1.062600165279678,1.1903869321535767,1.069264136178373,1.0284506847336157,1.1478535428413015,1.3147435412622248,1.138006812691296,1.1135148929208711,1.2723401266706453,1.341326030012785,1.4272668452127035,1.2167727009534106,1.0834160759977,1.0341611916625038,1.2296602382556192,1.1765570909372889,1.223620614125728,1.0567738946173486,1.0303944661951836,0.8623688817177282,0.8215970329377612,0.855860737227445,0.8418408551182418,0.8603254586017394,1.0037754319995387,1.6708774509098856,0.8357068276327594,0.8896121383285736,1.0066523657008906,1.1286882270243157,0.8260448275758209,1.0032403122880078,1.0377732754026965,2.0734292425178706,3.20996792968646,3.881857695857753],[0.9697112736258653,0.9670252292893635,0.9726454862775773,0.8768964576953262,0.9193187938868979,0.8221712431633009,0.7385159584655101,0.8696108518191742,0.7720845159088706,0.7037490841592862,0.7392330487129223,0.8234911978712454,0.7399182529273819,0.6850986939914467,0.7702212561049991,0.7652224647494338,0.720489840591025,0.7069154340206038,0.6803033576800553,0.6868104707701154,0.8273564550693135,0.8051638737797236,0.8219434408918486,0.9423492394610319,0.7185388196557098,0.6814315421816667,0.6876305730079741,0.655786099896873,0.70921508664493,0.7653015618315212,0.8158154560162173,0.8249299948759881,0.949285113420151,0.891452619965889,0.8257184107397391,0.7658551233850304,0.8182238721824103,0.7604239795115727,0.7674950219147109,0.8380723749011717,1.0265967360718193,0.696651229378073,0.7463843364977135,0.7407948170492031,0.9304769396024566,1.5952405859993355,1.5723600840276852,1.1090752465115226,1.2825408653594137,1.449856177417746,1.0657243921346,0.9411419361894378,0.8444823796309855,0.7976189524829608,1.6040217542488087,1.03764337422486,0.9328834754803774,1.0761527313022181,1.1739593305561231,1.044690644947078,0.924203058842421,0.8784092950359409,0.8472496928887937,1.0111243734320854,0.8058532122092086,0.8382775613460537,0.9887018260659444,0.7690989850511186,0.8455608937621794,0.8313494967431438,0.9632938390083167,1.2355168334024456,0.9709189127166881,1.0745555716930029,0.8687974195624576,1.291817067182922,0.8111180383940908,0.8497613141910498,0.8166322697644556,0.8555550429318065,0.9077023405580673,0.9890552912313464,1.3985956208358488,0.963071489099023,0.7486986290247387,0.8164137493875808,0.8121422865268414,0.9145357121311545,0.7802713814160658,0.9155651449472428,0.8523502406964317,1.0381018875556636,0.9314025325061144,0.8843574970961249,0.8329142445679912,0.8970245163096876,0.8500069482181076,0.8907088293352066,0.8974527572935679,1.068371766648745,0.8960346405175582,1.0082217515764513,0.8672398493409982,0.9628255201967086,0.9809461933364464,0.9718055217342718,1.2095259832197187,0.9075209922524928,0.945441166059868,1.0994920632490905,0.885115611769931,0.8242492020980869,0.7762412822514213,0.791310746317377,0.7092239356755763,0.6805261722613442,0.6701439960446391,0.6616815536439397,0.7306537296604321,0.6878859490488556,0.6943186902024968,0.6810947577160211,0.6705447291229526,0.6479570134653022,0.7097595839298676,0.7211773222451845,0.7841985919933345,0.7846089273404963,0.815193874930933,0.8534275564053043,0.8371653656186557,0.8598995070135035,0.8166720222520535,0.9135331539802676,0.8058842361294862,0.8192855821493027,0.9626931073702867,0.7972990412178929,0.7661785073227761,0.7467440470062104,0.7794927694413509,0.8056230041052167,0.7217237175036392,0.6949370678384656,0.677772841837196,0.7268257196987891,0.712577525640944,0.7721249886640934,0.8043469156239542,0.827430262128758,0.9149575418738233,0.9705908635486108,1.6012697017811854,1.8836194346111663,1.357991273397637,1.0512073396273345,0.8873902859618472,0.9382432033796346,0.8412859575948264,0.9353119616208788,0.8081549471970481,0.7718369280592364,0.7272629834132641,0.7070970346665181,0.7211574873998453,0.8712110544446738,0.8230311342471037,0.9408803266273106,0.9748239296726652,0.9492066622839157,0.8213152229012264,0.7822968543975246,0.7632509865909457,0.7941775193571632,0.7862976584401107,0.8647043802465528,0.8381344705091757,1.1453205232705177,0.8461399205269768,0.9449543732649053,1.0312567771257277,0.8555168262681179,0.8520470113565057,0.7912574777106954,0.7776906235200515,0.7699927041980976,0.868600708195219,0.7485688095908077,1.3720528692041358,0.9760977135362356,1.1411850852311813,1.0914260301245309,0.9953097522779958,1.087548947703856,0.8528235914047577,0.878727757076583,0.8940445288218121,0.9052080944504775,0.9041146056574878,0.9758776466157089,1.0097495807054013,1.0854014544021948,0.9997473333834521,0.9844746691757225,1.1018157650975877,1.0813357866117763,0.9639803593868634,1.063674409336935,1.2055516579342562,1.0804325713843204,1.0809093069391078,1.1744787306295426,1.17713944037431,1.1111978993075589,1.1590375506125659,1.1645474916517708,1.465708978209336,1.2228037371774634,1.1201805431443055,1.2450021189418148,1.3257480161212394,2.1289339127614384,1.6696875038166261,2.024288033875953,1.2660648224954274,1.2836361065792414,1.307469303964723,1.3078270946071102,1.1921233351264842,1.1103904369129811,1.2109870583391202,1.1499655796056683,1.2411929438757454,1.0801203151649417,1.2098972275311173,1.1756341094547424,1.1147573881769928,1.194152628586251,0.9919776522421211,1.0017737369957005,1.1399203208980386,1.265100324518385,1.4202484923794756,1.4407306728275469,1.5011535296166436,1.3831310748480048,1.38124327555146,1.6104314240028808,1.415743962384333,1.3176641339855544,1.495477232686712,1.554484806250428,1.3328402088048694,1.4212188476162841,1.5593620682416753,1.4617677682967716,1.3438913263268208,1.4374931418773196,1.3534555751214046,1.3480562555443476,1.296649235848287,1.2838000851570512,1.2845045970372446,1.1726594801853414,1.2535682764969631,1.160647170277955,1.154462635169466,1.097268030164558,1.1430450109403052,1.2141648657326112,1.1399535587344056,1.136888555982119,1.2205905985407177,1.3387778633150555,1.1881081258747794,1.1230333585004575,1.2217123564521621,1.2568567036601659,1.3738828826593712,1.1288429232620736,1.0535232908652006,0.9831543825615058,1.058958799280183,1.0087346802646275,1.0350937517355874,0.9821410590521473,0.9780952719128228,0.8961139108532539,0.9143197639457378,0.9283307476357701,0.9597242030331619,1.015573202036336,1.2003947493986595,1.8132956063928933,0.9835607960353364,1.0386331780725429,1.1738330640643495,1.1922651819305878,1.0035602813687516,1.0949955208539404,1.063305106409767,2.7457872593498824,3.8649973849747155,4.2539567764103206],[1.0607567299393568,1.1237256987858422,1.1584453095704768,1.1680678362878798,1.2058845689312752,1.0819765164669997,1.0636645947045718,1.1263088105936006,1.1004288488373821,1.1203426520146809,1.1533165255293258,1.1553137484337053,1.1419691977176323,1.1572071573398144,1.1991495158264611,1.1802573986691751,1.1831666803655783,1.1927845775826662,1.177975442164203,1.1804064287915987,1.3627256377387718,1.3171268223093722,1.33175325146698,1.3887934277079235,1.1161387144789856,1.1399064798511709,1.189597978971137,1.1516828870289704,1.1623994344500845,1.1630067764855019,1.2261116362124995,1.165020251704322,1.2448336700444822,1.2431696442779572,1.1912624725796772,1.1814154970978583,1.186068703879383,1.1971770307466134,1.2114243758068943,1.2524346553471255,1.4774101306750134,1.1499773848180546,1.2206052536840375,1.1266453362917004,1.311471447682627,1.841479657984459,1.7752020285071428,1.4935926471981684,1.5511411314111436,1.5647874345297448,1.2505027714363042,1.235943922727271,1.1567900692357025,1.1497297122464971,1.8879129482611627,1.480443234237594,1.3830900866807039,1.499839312862231,1.5849441556280972,1.4752309677816053,1.3525684293588858,1.2613362101601904,1.2470304069863267,1.362788744809258,1.2524730636206085,1.3047214684307218,1.4570267105480519,1.2234459667072137,1.3220425431085996,1.2865662519156642,1.4141634180278106,1.5682754909074137,1.3946046736814082,1.4730523800223525,1.3008847560149814,1.663146108732596,1.2398254843552505,1.2522540478323472,1.2236469806591195,1.2686950640374064,1.2522183666631368,1.340004673011269,1.6938217198910233,1.3124733206960653,1.076228364602708,1.1841834545687135,1.2270674096326843,1.2547353856133852,1.2061669134237674,1.2757490595720784,1.2505960303409263,1.460379461809614,1.332118521147721,1.2630887103247936,1.218435451038555,1.255404778099388,1.2180923919370636,1.2074560754079062,1.1821682920457068,1.2411445394760654,1.1426113214844262,1.204547850264647,1.1263842759082208,1.165300884100442,1.1938976788157862,1.1813910797852845,1.3352434124533024,1.1043280577264896,1.134555216680114,1.2833686187747828,1.1051296962800268,1.1112641344549363,1.0964845135464947,1.1750541919602544,1.1475713607916287,1.158944991771015,1.1834410324307778,1.1662824254662911,1.235908279170912,1.1945648052769593,1.2253185150679327,1.2021092651821845,1.1713630259008496,1.1257271158041962,1.1327108509545314,1.1118083397424867,1.0583437376634999,1.0812709900579431,1.066727572039795,1.104245395248767,1.0886433549880195,1.0736433942575871,1.0958096193850748,1.1632030541804712,1.1101926065380632,1.1473583358041517,1.2581143367289878,1.1738735388672759,1.1926686885966475,1.1912619726771847,1.2247218624926626,1.2527410356578335,1.2016938429291912,1.1731180524599085,1.1490136216992461,1.1748409375210964,1.1675747268936114,1.1699691268915289,1.1461884854365654,1.1421769168960172,1.150986053349218,1.1882694340255413,1.7129318953226456,1.9241780435032632,1.4357397374173015,1.2294943821813837,1.1489350263549845,1.1732099088373384,1.1430080775734988,1.2136488069801799,1.1572922959234686,1.1695764390459065,1.1646670846221707,1.1198912414351359,1.1040412069890526,1.2900735004991168,1.2075505033415104,1.3133962054363555,1.3094868651661555,1.3048550257183533,1.1788413793652979,1.1755098336559515,1.1286869218317817,1.1557858912064474,1.1459397167158787,1.1575128685777363,1.16322819349308,1.3902449859660366,1.1724586367272172,1.2247536786508568,1.3643397714753225,1.1446067621109686,1.1445851933621187,1.0982294766239942,1.1073105172175244,1.1388699949712566,1.2938196275410605,1.0704267714055549,1.7602746502697946,1.3584303803727569,1.4757947135728646,1.418957759928418,1.3171109181142633,1.4071064924939707,1.15396347090381,1.1314251825893804,1.1411470201201352,1.1128084906553228,1.0906444918436546,1.129913022115069,1.1362477619376243,1.197928314442949,1.1434692934286257,1.1181043460057838,1.1883966137551472,1.179176978300924,1.1061140191370291,1.1617378595684749,1.2519532915304596,1.1730181703424118,1.1654180809989039,1.2079687709687237,1.2170865318316177,1.1862097715339244,1.2098839749326749,1.2469174108663816,1.4664274895183202,1.320207782764954,1.1984976160609013,1.3015121717857874,1.390925785489366,2.130359729314129,1.7332747793576904,2.0117930134354647,1.306917514162552,1.3070776305634269,1.3502821586178944,1.3521746148657459,1.2363534188212562,1.2082173983324542,1.3169195910789993,1.2545906779122757,1.3400572456719506,1.2117061538635898,1.3261501387536279,1.315023490152006,1.2463153779599716,1.29871248381955,1.1326210612006826,1.145855983963181,1.2619158351088056,1.356592388117381,1.4990171699269215,1.4943905850972412,1.5494981838323207,1.4605979083457583,1.3965971973395117,1.6187175995675314,1.473632473348643,1.3516801877823177,1.4732796850047596,1.5272986367461334,1.3451857598372323,1.4112110807583615,1.5126547738742333,1.4325266417698665,1.3425889139317153,1.4173848205315847,1.3375848989742287,1.346509181678071,1.3210411776284066,1.3003084817220372,1.2929804873975839,1.2279843969154807,1.3117099124939084,1.2142571277328496,1.2175690404179975,1.1903801015510351,1.2263063766147706,1.3107981750459283,1.2588399820389975,1.2503961844317708,1.323841693146425,1.4603638381161959,1.3245347375669307,1.2618605375356597,1.3706102767814679,1.3866199239822679,1.4580909325336402,1.2660741261421569,1.1968910935524033,1.1349114733682617,1.1995793557096301,1.1545098717610758,1.1727568214850113,1.1520177522588226,1.1201038471967364,1.1015587193650862,1.1022814242696268,1.1433427035194916,1.130071671955779,1.1586978359030307,1.2859796545639928,1.9048781276245978,1.1432965989533352,1.1404055360902445,1.2551055885088618,1.2975468405474073,1.1527819180614511,1.1905744756239485,1.1005143372144872,2.7203084794260177,3.8357941259510215,4.289597415564051],[0.9668478641445768,0.9166135860642334,0.9250507616981797,0.8594676507555636,0.8136746636590716,0.8339245143974534,0.7309844333841761,0.7650307422972116,0.6660592137708801,0.6179367455698371,0.6434393273065915,0.7473124842122466,0.6497298651421898,0.6330678076853388,0.7252408072219622,0.6801511433250729,0.6882537446014867,0.6921306823551251,0.7232960036215228,0.6832125661653788,0.7991394875361432,0.7721176934177225,0.8547750733862572,0.9552644186546371,0.8283999038506407,0.7630030462280415,0.6726723160008975,0.6469746345846692,0.6712073481969573,0.7081756118833331,0.7707911887151542,0.7399677216406557,0.8648830824708483,0.8590965274389543,0.7774525112904049,0.7192284045490602,0.7394178198292013,0.6932175272857648,0.6847028446610964,0.7285168703709187,0.8136434290365502,0.7322359438206462,0.7282244556475651,0.8281782312974147,0.9453680606827873,1.5570333754689434,1.5552206292251014,1.0398826084959263,1.2600372123736485,1.5574986255657317,1.1717741842275209,1.0570408808564817,0.820622081370655,0.7807449843408854,1.4686461999657565,0.9048924133948646,0.8615741695799046,0.9734248277337855,1.115762758900961,0.9990528127856,0.9245289133344203,0.9221092250172501,0.8848277072164208,1.0271134103879846,0.8195497450870263,0.8501492811123665,1.0236583315602215,0.7926061237426341,0.8901770848630585,0.8692351821241673,1.0234451170998442,1.3694675148779505,1.0593181464283947,1.1374851473233196,0.9109179119052779,1.344615194018675,0.8513423697107736,0.9062707508956263,0.8250912461773124,0.8331089077191083,0.850230107486193,0.8601972506206702,1.2344349089639128,0.8397002294913949,0.7617069829225223,0.7222136793625538,0.7295889330738579,0.8363887734719742,0.7422772026885779,0.8901113019249055,0.8495385872267551,1.0389452413400406,0.9560121927440961,0.8850096406806208,0.8028031547202853,0.8952596963143444,0.8317045528719554,0.8108867889629174,0.8221882980882088,1.0884788851678528,0.8659094352186405,0.9818414922618764,0.8133464270910343,0.8946553148901553,0.9150804107151228,0.9030439545948729,1.1880459534378485,0.9315618830167657,0.9624536456953031,1.1131860838457213,0.9120188807793083,0.7824145612526843,0.7095487832366758,0.6648464595829348,0.6437836076353154,0.6373140320700575,0.6350462126723438,0.6730265132661951,0.7697803179612427,0.6860716759053052,0.7046284380190987,0.6594035541938527,0.6835473662160019,0.6585675110005567,0.6522831869879584,0.6827301608288894,0.8138836519780629,0.8256074466378868,0.8674020376031863,0.8510653268930553,0.8872658099954442,0.9271443265534336,0.8603245600620825,0.8655148476483874,0.8321552937502584,0.7966807433415234,0.9807888023100136,0.7513625569724262,0.7151402690540403,0.6743380340295104,0.788532841662866,0.8309888620024589,0.7218171577300908,0.6735492388462515,0.6407050173044763,0.6557569496466359,0.6345477453074082,0.695321953988189,0.6831977162798015,0.7069332890102388,0.8340430736712793,0.8416755507314015,1.3037542847778416,1.6193750811346952,1.2681965256477656,0.9621545833694303,0.8214079471786935,0.8251105367326926,0.747359080926589,0.7892458967606869,0.7015047145272894,0.6867147534922324,0.6866634490810832,0.6632946915214448,0.7148499551916185,0.8118603607669174,0.8061124778793525,0.9397392055993858,0.9829934978779876,0.9539500699420578,0.8321819114260368,0.7285308030344277,0.7304872134732137,0.722338336397699,0.7160340721651138,0.7798695774156441,0.7330201996616869,1.0213124059419036,0.7581280541836356,0.836664647978471,0.9175671060342028,0.778909373467247,0.7889568217053154,0.7974986497927233,0.8042521595955012,0.765447783902327,0.7469514783428203,0.8994729054746746,1.2308749884352488,0.9323951041527996,1.12022138249051,0.9554741943433618,0.8956135337338029,0.9178714051941333,0.8575833936468719,0.9638881481647044,0.9765075387312903,0.9697526743478677,1.0172687066845563,0.985556933631101,1.07964772841834,1.0722101586984674,1.0091238134735865,1.0753798393269234,1.1566194795533347,1.1008159062864882,1.1177212291365284,1.188641374350897,1.2191514438802522,1.1494584469006686,1.2521374339091786,1.2923720464469193,1.2191400430242623,1.3129559830911424,1.4210375784894027,1.3981478740086895,1.4414564555271965,1.406815469003286,1.3274733195018358,1.4141808186747211,1.4910351215717428,2.308324431900548,1.6703994696663933,1.7736947271944075,1.361763634645246,1.3353644660007389,1.3420470430162725,1.3936423642813252,1.351158088776182,1.224790042909378,1.273068726134159,1.2732658312477134,1.369821683833314,1.175471956596796,1.279250572661218,1.2561885731618314,1.2089967038482914,1.3598860316807246,1.123253051242251,1.0672892476605056,1.1553462282739926,1.2639985550166013,1.311007945786003,1.429310780686767,1.3745184963914345,1.3045703409785643,1.3065271731023176,1.4244261878641604,1.3272986968904443,1.2088584919117789,1.3409521348498277,1.356461787825877,1.2397201205988582,1.3650606451107283,1.4367699263215157,1.3556729727434131,1.372827084410596,1.4842673503491486,1.3795816284114042,1.386045553599461,1.306501941113725,1.3166733446763748,1.386189397566189,1.2996656194954301,1.2628032620194054,1.3363902315436567,1.3466939736091699,1.2097932654676857,1.3236905544483686,1.4061731596674438,1.3003303397280261,1.2229274171865583,1.3053648357664702,1.5156962468302722,1.3220835187828979,1.3034703993570593,1.4319090087300932,1.5263646776775033,1.6318837408243607,1.4165828415175166,1.29757286735535,1.2550239226291093,1.4145891675984719,1.360437826650659,1.40585706414253,1.2221533812614553,1.2252879887777524,1.03613273705829,0.9595827296421319,0.9335805072433339,0.973870412226346,1.0083559919560867,1.1667517948029535,1.6721544163527668,0.9924182426041604,1.1198045519399038,1.2067524967578112,1.2123229222812777,1.0034933537799775,1.2435819336118439,1.3645734107037788,1.9556757495051327,2.9836490437320857,3.732346373878471],[0.7152940402119515,0.7315816726282035,0.787512735531728,0.7967245411717104,0.7574074250436387,0.7217129545132693,0.6553648969396425,0.7598378016878563,0.6832603900504711,0.6534600634360925,0.7063246694291753,0.8034550853060489,0.7095145011410485,0.6879375948728507,0.8065521675902586,0.7798573043267407,0.7405053162533449,0.763938029367033,0.757643263177084,0.7629936090470684,0.9084710688137486,0.8702788500176012,0.8766306835407924,1.037258105938137,0.7553444427332443,0.7340621276318555,0.7240856762789141,0.6896402450059035,0.7373702990156401,0.7848772213180539,0.8730664871461383,0.8378587230487204,0.9560412121296495,0.9481984209531499,0.8723144659151493,0.8121223945509257,0.8221289749215701,0.7803978717510198,0.7773174117781585,0.8198667674944814,0.9883645086810348,0.7369321076965158,0.8039242286344381,0.7912069535557604,0.9994327360687918,1.5564175940359644,1.5056041394855724,1.1470437928388686,1.3040595692174426,1.3839521656287017,1.0080498422376134,1.01936211887782,0.7640723226906149,0.7614643120590381,1.6016441631688667,1.092350421524518,0.946115363758005,1.1217658958423367,1.2611058478048804,1.0646636084515135,0.9765794684281238,0.9411729971784039,0.9339366728999022,1.0208714738801146,0.8496930028986716,0.9182926236895819,1.0611082597058388,0.8501419099890478,0.9560025635715427,0.9287629372686835,1.0955571114836746,1.4732566168068288,1.1227200344354926,1.188690253585741,0.9697255737741631,1.3884347046362873,0.9123886104285547,0.9806801454586248,0.9136839546604304,0.9205193386573526,0.9403860078731469,0.9734426658432183,1.4045055103658002,0.9990620105637402,0.7201345261032458,0.7940929247980016,0.8267151794588495,0.9238406351295863,0.8324261791594265,0.9734037140988071,0.9252212197037075,1.1360810247839879,1.0367767988344356,0.9748876675684812,0.8973917357090461,0.97933867117321,0.9232639770091198,0.9092649047078459,0.8957632815644359,1.0791440231637395,0.9287678727439591,1.0206979464477237,0.8546511881416883,0.9061918373220337,0.9208792755720456,0.8904531559002625,1.181934031252889,0.8237441989411415,0.8492611554535222,1.0550220886843256,0.8197908702005512,0.7437825230789283,0.6962164604819379,0.7202129435549874,0.6804234617788688,0.6652400132097597,0.6783505774864701,0.7100026800619605,0.7730681930117341,0.7581041783338635,0.738439368965791,0.7187021918701085,0.6976358074540271,0.6534441941836953,0.652186511585099,0.6617672576780702,0.6686475542392363,0.7314936573263578,0.7252089721013467,0.7651987117489414,0.7461142968718945,0.772481595394472,0.7360462416724479,0.8116539437362404,0.7312804351749862,0.733175011944599,0.9070895212696425,0.7393890124220527,0.7420062719174852,0.7348297785516006,0.8382371673656368,0.8529452176347606,0.7637572562922879,0.7237897970270674,0.6813144750315128,0.7114407690415449,0.6931527518246146,0.7698088602739829,0.7346745171051264,0.7472823643476766,0.8353122775085218,0.8793526717868887,1.4649051863540372,1.659598802803852,1.2171007278587267,1.0130860788788572,0.8771109260890563,0.8770497046589399,0.8081639759830839,0.8695242090115932,0.7218556459386399,0.7525757362332495,0.723950173359785,0.6918006454199389,0.6469098904653389,0.8691065603471717,0.7950175399817324,0.9499651161084722,0.9769104256367386,0.9648111999027597,0.8116490317500626,0.7448396020545814,0.6854405512847612,0.7276935705062344,0.7552764986159424,0.8322026001133636,0.8149398074406201,1.148725067150157,0.8323949803575378,0.9027072468016035,1.018905014001489,0.7834945601670377,0.7893303170516259,0.7369804766179847,0.7246880625327051,0.7477054517358508,0.8395806022973065,0.7694448265390192,1.3304524522622712,0.9051231100233637,1.1084782093629337,0.9219562551464895,0.8551387625935286,0.9497317529993621,0.7539938414328098,0.7991598672687631,0.8116063241472654,0.8075779706096751,0.7895442295352394,0.8153867644940854,0.8674426704831969,0.915894044250051,0.8421595994923567,0.8341955252096609,0.9188062848000483,0.8871593383423628,0.8518275463595237,0.9017949113968566,0.9753841409512576,0.8871302766933314,0.9307352678073657,0.9709908140453811,0.9391435566890155,1.0014360857403393,1.0653638845341482,1.0681560268759218,1.1907168989372778,1.0981564384184375,0.9972558254377754,1.0783612965624545,1.1732270107692742,2.0612131404256004,1.5076500539131892,1.7690491047566932,1.0615938394684903,1.0769520325440598,1.1334274937186608,1.1746131572951208,1.0585969984515764,0.9866202163610043,1.0776112491642598,1.0265092979514419,1.1280653093976993,0.9592849823949731,1.0863700033124242,1.026875052369185,0.9753788257655195,1.1185016409960797,0.8710453598936437,0.9121393957999253,1.0160365514003464,1.11534738847605,1.2426067400461827,1.3307318360882574,1.3181323037977486,1.194647661688877,1.1489842373289185,1.3810901955243382,1.2343885288990446,1.0722618662220655,1.2182453197847387,1.2554045030263699,1.0612093155089453,1.1584183621386352,1.264699390646669,1.1401648583978499,1.0966402061234621,1.1817391024288653,1.0936962719423495,1.1201430636360619,1.0783337711097323,1.063103784288127,1.0777095555854574,0.9931624440836395,1.025871048986466,0.9950742535057437,1.0043402547912361,0.9343061396420307,0.9975966123674206,1.0700134902143843,1.0191879317711137,0.9612115088346279,1.0123609669441505,1.2493796010942393,1.078416364091556,1.065871903096644,1.18028912559646,1.274236820259443,1.3356409336296156,1.1419560962386002,1.0107450819836137,0.9641498080644154,1.1554829568779923,1.0814129145624252,1.105235608267445,0.9856479515622536,0.8988159576647246,0.8346929155491011,0.7745305913283564,0.7777043453317766,0.8345942557044617,0.8848050162757052,1.0783059734370684,1.7716471294001053,0.864331894070232,0.9025451170389694,1.073827621901703,1.1110261083099409,0.8520534272670179,1.0261223356736628,1.0343952761438877,2.485777894656322,3.7946701670988556,4.479794924261688],[0.6738267652719313,0.632524152551826,0.696269638528506,0.6767404378896994,0.6597670859362279,0.6039967005334623,0.5336289355027665,0.627821673312727,0.553201208604605,0.5345792559116139,0.5852285026068684,0.6919405032755546,0.6014495578618663,0.5747308321817447,0.6973319067372904,0.6844168571772674,0.6200402504466036,0.6766155789775294,0.705441981831952,0.6753613768657657,0.8380519441222064,0.7939666437980853,0.881709432692414,1.0112256926497887,0.7191729001960786,0.7011821535524498,0.6455782705419717,0.5898043918916108,0.6229616522523025,0.6783331932252555,0.7887091954454781,0.7622934163708602,0.9096998248151213,0.9006786126209675,0.8070660518525036,0.7276739431364536,0.7389196661876152,0.6800195801280862,0.6504633496413581,0.692352904352686,0.9128691688414415,0.6715140451850478,0.7551522143685663,0.7225153603913371,0.9620160861247925,1.5443460062514862,1.4756029662684929,1.1365463273104093,1.2957062931023708,1.3814888012162676,1.0348903816406831,0.9534791605969243,0.758387517500185,0.6991874136736839,1.6137253473858035,1.0675760057809323,0.9294915158821442,1.090072071816978,1.2288775244729975,1.0311938170504356,0.889139659878969,0.9294539835625966,0.9059533838676831,1.0315638706916508,0.8335094070418068,0.876106013124515,1.059266816795953,0.8122211561815789,0.9019498707515761,0.8636967107409046,1.0532765030753144,1.4261291438638555,1.0716383261047582,1.1520079466864779,0.9171103307119358,1.3438859289593454,0.8851303569541533,0.9378605050695021,0.8623802303470571,0.8658575415247056,0.8773093335138978,0.8979521358842874,1.3680648955958805,0.9447219733295267,0.6666799168827754,0.7110344028363222,0.7434473103206741,0.8345936867034416,0.7636401621979633,0.9326416618567457,0.8755120240071372,1.0842453486996264,0.9777583153205978,0.9204001192518413,0.8237249178225899,0.91012993960666,0.8535698097899865,0.8182399464481211,0.8013486588322775,1.02449762885686,0.8472170428204253,0.9510228298758457,0.7808956388747644,0.8488686778638577,0.8429102168602645,0.8015013956273177,1.0847012211948739,0.72462681975551,0.7580994814805533,0.9929033107503753,0.7095191951192609,0.6124811495787709,0.5700301413940235,0.5997618751322407,0.5798718942575035,0.5600697709271687,0.5920885348643333,0.6175994671595956,0.7240491657710748,0.6748488354862202,0.6618546659210857,0.6269625102982616,0.633134739263128,0.5773488753756365,0.5354441720184113,0.5425351415283555,0.5739455056430232,0.6030996470695911,0.6271730111897865,0.6752708322791374,0.6513002128937329,0.6911847005048657,0.6317471779264423,0.7126338032595755,0.6267018807266223,0.6265157657613918,0.8203814155775184,0.6287434800853667,0.6074560544675704,0.5981910559839653,0.7109491149105841,0.7195130487679448,0.6440256826988296,0.5927104866069913,0.555000858231604,0.5992596025239009,0.5659468246425627,0.6383128823698847,0.632553725580566,0.6329209136402753,0.7233355842128398,0.7773257268482333,1.4383389942353668,1.66254203014823,1.2222763832093042,0.9722137554005255,0.7864209386090883,0.7928607665434958,0.722060857757743,0.7745471256197449,0.6308263304369676,0.6490664361945648,0.5934118259557539,0.5821998131028229,0.5724277774790063,0.7556784921822086,0.6751709081138677,0.8133053489896611,0.8627550779359376,0.8402068376587428,0.6797223682981964,0.6210796888933652,0.5747301909515663,0.6289738027962983,0.6632276806208184,0.7525653920384264,0.7329517491785109,1.0959150103367283,0.765864019777861,0.8478454827697258,0.8860396079270388,0.6855123873247653,0.6860422036596742,0.635623331972053,0.6192672990750451,0.6453424115314259,0.7103672949286997,0.7443018376559162,1.2117277660992496,0.7913346766405691,1.0298559539143595,0.8973376763984157,0.7838239951705106,0.8787152639902263,0.6574689869640101,0.7093518891127958,0.7217810186432762,0.6991131512110536,0.7088990156853359,0.746256355155016,0.7881353314771169,0.8552543348839093,0.7608450605371417,0.7542051696775959,0.8551599696486163,0.8239608036500543,0.7910408644482452,0.828190003670045,0.9261335688027407,0.8215502047062331,0.870501492483969,0.9258682497856898,0.8931772545118902,0.9695642158057708,1.0228392283705703,1.0121211851915126,1.1807420624355323,1.0407266608437034,0.933925281787367,1.0312689714467034,1.1228629593485746,2.1270657269350024,1.4176259583111328,1.7345058919343983,1.0034304490344588,1.0726127009108506,1.1131335280804064,1.1670799893413832,1.0136236688188374,0.8901458019450055,0.9933960837309324,0.936146899412949,1.0186853181268332,0.8466168146690082,1.0669963365387263,0.9028667428823681,0.9011255930394714,1.089714480127965,0.8049779253610527,0.8248709171373093,0.9503718225733666,1.0472612178091476,1.2190926946900504,1.3307125277417886,1.3278866741135942,1.1568255044112534,1.1421940846023857,1.4107763175820258,1.2097030391792511,1.0548549589381662,1.2300140246681048,1.264311844570273,1.0340946017848556,1.139962579130981,1.278002953210771,1.1330278895976331,1.0651676318050187,1.1565443967040159,1.0719033562935336,1.0863733450411583,1.0494887927391472,1.038745885370946,1.0445082778468509,0.9308992760261237,0.9761443025460638,0.9311020187273686,0.9359584237134501,0.8371256193983082,0.9038412200895368,0.9952143893268451,0.9304711166747831,0.8682418604744736,0.9392918691789626,1.1601499297576163,1.002551937907413,0.9789012702187581,1.1116709939399216,1.2307123186843054,1.2767918783446968,1.0891188024953746,0.9450123489245138,0.896615338199742,1.1094809914949004,1.0246410604817284,1.0439032843677987,0.9180687563777039,0.8354421687122655,0.7511652010046075,0.6938035606167784,0.7125595292139068,0.7562777067362365,0.8025883673952822,1.020082314930872,1.728146829990422,0.7658680201654706,0.827605679249651,1.0219688593717193,1.048757763821597,0.7689364520876466,0.9621913896195085,1.1132512294933479,2.8314127710501644,4.268541301343858,4.889872893845673],[0.5652719816554101,0.4848929388081337,0.5438427504431181,0.5441448491248528,0.5002521684342179,0.46868885808060284,0.38936651494986874,0.5037059640956513,0.43038940669795955,0.40833566997154996,0.48103668778918035,0.600464551784177,0.5032766502898208,0.4832371386624867,0.6512212911024066,0.6289853425634665,0.5656771968125515,0.6420001233870609,0.6812926480093559,0.6383649479820813,0.816927584340904,0.7740274552419506,0.9011522415045796,1.0165155350245263,0.702856579733179,0.6800350800404705,0.6098529976832268,0.541359204312445,0.5785122920015323,0.6148668921330318,0.7435746086914795,0.70331764058313,0.8671825582872056,0.8525600138512415,0.7532333983266745,0.6810939865453007,0.6748515993088473,0.6352197208348835,0.5981359501449047,0.6325282556785484,0.8570309906541087,0.65321814253913,0.7276693148951994,0.6925587887281415,0.9566597891241162,1.5362403969919678,1.4835208175927177,1.1136316062243938,1.2686795025911648,1.3786974672251533,1.0258302753727009,0.9244534385059497,0.7498688029636601,0.6718868541200091,1.5620055178055803,0.9977307502052429,0.8893875780875856,1.0307291876973024,1.1664066727317322,1.000032113884955,0.8833148543639742,0.9282961575089248,0.8947126246170685,1.0316201698840899,0.830620998126409,0.8559634396726125,1.0277369698299648,0.78532778004025,0.8665720818251516,0.8224669792898118,1.0236049910829659,1.3848554840875338,1.024575760334592,1.1202123638274075,0.884989003168393,1.335015664822071,0.8600086615311323,0.902017325230495,0.8252922473158415,0.8278050995781527,0.8252789620904007,0.8475541431542097,1.318059707894014,0.8536456580080881,0.6401043514530063,0.6480764142595432,0.6904979626683041,0.7881913464756007,0.7228551868806351,0.8957868771526856,0.8379305239178951,1.0522581972799079,0.9436877562166428,0.8784855626196796,0.7741834528695065,0.859262467269836,0.8163761878970459,0.7598803956659753,0.7255852456347507,0.9871741393060942,0.7708511483503142,0.8484418171348046,0.6933695312164543,0.750135976525666,0.738949481710569,0.6743685889951488,0.9464978327809157,0.5706176335551404,0.609767587993488,0.8605427525040521,0.5614528367933399,0.4775339871769088,0.44452758519842794,0.485494981681808,0.49207446669861493,0.4582985081409213,0.5147657588316156,0.5343563846732372,0.6661717087248561,0.6247927063661292,0.5989723888131865,0.5410241654772016,0.5260734426431432,0.47110523888821515,0.403740549386369,0.39711015203611566,0.4701046920520419,0.47910111573323183,0.4857372412287018,0.5412584542296074,0.5012215368856707,0.5478733737327645,0.498096448908168,0.5985318055327067,0.5147281725531851,0.5144116433132851,0.6836742883279833,0.4862232533471763,0.5001950827402037,0.5046266209049278,0.6389683398490048,0.6765576747330941,0.5971688025921272,0.5154456235995715,0.4892805094191427,0.5410112823062614,0.47987385151758466,0.5421323363466072,0.5332870271312707,0.5323292876179683,0.6143215304018067,0.6733948640198593,1.3263527094404388,1.6716605606262431,1.2017644328426458,0.8627740487809219,0.6832358712603748,0.6863363124046968,0.6298243667022939,0.6633455921861265,0.5330776963822745,0.5527574337834065,0.4993143906085059,0.512059700405847,0.5158106484629872,0.6495920309282532,0.5623828767038864,0.69024429229889,0.7221529972996679,0.711031082191802,0.5458066989097444,0.5042477284796212,0.4849953612989437,0.522316289251626,0.5702682153389558,0.6522770118676747,0.6491622386076998,1.0038179641657639,0.6870355039957828,0.7558082333359065,0.7616494698703267,0.563885960354652,0.5558807128917918,0.5211270367349468,0.5359530814299268,0.5807916517930525,0.6436243049568022,0.7596884462850085,1.144366228439925,0.7250756310355594,0.9657760882049211,0.8828409271094454,0.7165636092636603,0.7924408610864767,0.5411226519264861,0.5653751717104814,0.5738399098787792,0.5383995635072553,0.5555309130050253,0.6014742713241034,0.6292732898331654,0.7020613885692928,0.6043698127160145,0.6043858082493259,0.7049835070831116,0.673546101190198,0.6514735454978248,0.6876901457112441,0.792876029258819,0.6992981321981767,0.7659774197739978,0.823804532343966,0.7953930185300764,0.8664093461450592,0.9285437948231421,0.8880695686165179,1.078025294347387,0.890441295626486,0.8073362292817129,0.9021591885539132,0.9825740329000211,2.089081045855474,1.2761986960271554,1.6841927493925646,0.885131858391071,0.932236637362772,0.9771677946970473,1.0595774100020743,0.8740036460556199,0.7548207965272788,0.8642685533692656,0.8155246790155462,0.9181441901997154,0.716111415339531,0.9492073830333199,0.7401132634707738,0.7365001362689697,1.0105115853128108,0.658626279026233,0.692080812444531,0.8272570671813821,0.913355744211408,1.0936429556295364,1.1860399484034272,1.1867580866529794,1.0202099572621903,1.0004375974170372,1.2759921301240418,1.0665820984242116,0.9183307916104982,1.1048480604786475,1.139877203514514,0.8943316254180789,1.0190622087665548,1.1702374299959122,1.0223707418610508,0.9631024212684428,1.0577266258337235,0.9623408382645593,0.968162047622283,0.9246687114231542,0.9129475942027596,0.9265166756550763,0.7979122255278233,0.8395460912416465,0.7953626212147963,0.8014016025701841,0.6839673334516067,0.7497512430424702,0.8468585013197002,0.7810678146545899,0.7146273899839134,0.7974431910751665,1.0128260827959372,0.8618897907042411,0.8352291102878713,0.9460653911632527,1.130225354352538,1.137817755403378,0.9399603243739022,0.7890198790173262,0.7514574809185846,0.9866940663911766,0.8996138785848558,0.9198277361328714,0.7871635489509494,0.7205077316346616,0.6105278475504693,0.5466282551425125,0.5980957675733678,0.6115723793057857,0.6376403800796315,0.8821358498215128,1.6293447804693815,0.6001009720320588,0.7075218110148791,0.9409635622022084,0.9218512164315286,0.6377226562922178,0.8687167156134907,1.1123871966070538,2.9669301174904326,4.437697062098282,5.01793959826575],[0.7044077234301716,0.6389051792154232,0.7195709265083636,0.652289805418882,0.6652502504683686,0.6528271518816019,0.5991204275190021,0.7382368870921641,0.675403839393189,0.678508584908931,0.7928030008875672,0.9200861719611312,0.8351369707587819,0.7624981326320242,0.9793243046911052,0.9779359088672444,0.8649061146171363,0.958669637716724,0.9275873340069811,0.9514078664218301,1.1043048203838857,1.0659009001076716,1.1091598525731259,1.1657512099447045,0.8438408325074402,0.8330169177595464,0.8503699190257812,0.7902373979254533,0.9036878768874885,0.9795103102906457,1.1249592849568444,1.1087349964801019,1.2524300804158968,1.2845586595054648,1.1715122101404378,1.0762842795576273,1.0684660009979552,0.9883449960472854,0.9381768637543463,1.0029948146381296,1.1998018403502284,0.9249302032260402,1.0652621637084398,0.9053498463525455,1.125639355427629,1.663368644549247,1.5396931445601272,1.3282749001185206,1.4874446453401988,1.3867700709134227,1.1441479516302342,1.1258563116613,1.0886027484100036,1.003023596868999,1.939700244997143,1.4654421290407307,1.2605213690430135,1.421526363049901,1.5574829895783278,1.3265656776279113,1.2092311139690641,1.2040403649756595,1.1988326823011548,1.3158801870733,1.1386946753562608,1.1608075539123768,1.2979484901176006,1.1158350065144151,1.1200940778660078,1.111951723166414,1.2638627488567136,1.582325134497676,1.3116615763259956,1.3860790292471943,1.2135375936009136,1.6466747962702457,1.2200593602335288,1.2969464168885216,1.2207308682673923,1.2245831752012253,1.2512041786821937,1.2332572415360448,1.6490884169905289,1.2867335331074186,0.9758068834801432,1.0474306141859513,1.0791309633768174,1.192399435108697,1.115483406286264,1.303677274357821,1.245903190361802,1.4431275539175934,1.351277031770375,1.3013494629564175,1.1749380885949097,1.2736743437666806,1.1533591213130026,1.1721782054649725,1.120539685567748,1.3305239727332667,1.1575538065742044,1.2032537804632637,1.0910992429291801,1.0877261839057903,1.0642444971218437,0.9850207934235462,1.2716345166944782,0.9040678107205472,0.9113642508109854,1.1720082925086517,0.8514665074627181,0.7629361873062396,0.708626627347635,0.7281795201599326,0.7202501454848029,0.6491151646250567,0.726003278501551,0.7063133351995653,0.8244840098149372,0.824186965811688,0.7748890508428357,0.7195489964916759,0.6397508154104887,0.5971771190027114,0.5817926338855443,0.6042761023386258,0.6677979392832867,0.6896736450547061,0.7421670543421988,0.8362704224396482,0.7648641664171683,0.8455071293629672,0.7814019609514237,0.9381171981880917,0.762359128437409,0.7496707350692839,0.8476874005495255,0.6929906922137449,0.668895460240806,0.7085145711705174,0.7627776426197216,0.7567321544835901,0.7632996403208394,0.7253593468179037,0.7565458119083076,0.8279449156298475,0.7608599831879073,0.8243631434300697,0.8447595054010046,0.8284141434724337,0.9025326840831129,0.9602535094135101,1.5872594308622285,1.7829640498219295,1.3980276584393436,1.2503380063182912,1.0450185588180805,1.0384511775810235,0.9911788739560349,0.9956653680997064,0.839393363424449,0.871175830895123,0.7719287160556634,0.8244519876606132,0.7681756786011888,0.8108718685761344,0.768675452890449,0.8357345588363028,0.8869399953740673,0.8676923274176207,0.7535791260331627,0.7382189989305454,0.7675124361243156,0.8349089447397745,0.9238130294087553,1.0144077222351138,1.0186544266334583,1.356337617733493,1.0623959279900423,1.107671872008228,1.0398673385574317,0.8979827281805417,0.8783233811000226,0.837257728537211,0.826632635193531,0.856100509980151,0.9206763167279415,0.9529323586232514,1.2351899824179102,0.8841317538766824,1.0330595913335705,1.0300934544648517,0.8913988558944791,0.9879227102264376,0.7623858553015642,0.8019924220295397,0.7985145180056975,0.7953505094282111,0.7869673319106095,0.8704955320793335,0.8966610412152509,0.9709090681133843,0.8678292028456548,0.8383931701311655,0.9464217346786777,0.904275470162209,0.8371000693123167,0.9073025020355168,1.016513063573503,0.9189327189783703,0.990487068657108,1.0684835726201687,1.0302166739467176,1.0826230066424507,1.2000446657618793,1.1060331013242186,1.26129418790959,1.1043078493385603,1.0558349209530444,1.1428914075158763,1.199267779799242,2.2106264070442223,1.4319825337300403,1.8559871078590924,1.1347684986294224,1.1760813797715346,1.1974788815132027,1.3016902753251698,1.111956929186311,0.986024692854565,1.0904755657014795,1.0514658258627207,1.1183703099282085,0.9633408146794942,1.1561805214244307,0.9273772706923271,0.9484303170548001,1.1137778520133716,0.9038756279753638,0.9717202858026558,1.0710237838871142,1.130861972785091,1.3235228717120577,1.4250529328604609,1.4549144847567643,1.2442655789262103,1.232512212813157,1.480893122107665,1.2842318982688445,1.1372004544632426,1.2920279781976562,1.3079032857368744,1.0942027160808894,1.2107636003244928,1.3299394150581032,1.20295041465222,1.1947430208229721,1.289953077921918,1.1971843235280206,1.2080665414052598,1.163276616233412,1.159087897443999,1.1727563682971396,1.0338205850877336,1.0666507164195473,1.0548507038717614,1.0459559829597267,0.909999055499737,0.9793470989555619,1.0754419356126341,0.986735200515149,0.9107095142950605,1.0154682221646942,1.2107091083723742,1.0674335601697036,1.0225498699374393,1.1326457496670321,1.2537675128463193,1.301767944979287,1.1150810988351305,0.967458759160853,0.9449920033420046,1.142406967852171,1.0303879279987556,1.03969240445917,0.9292200323547722,0.8800236041335636,0.77449322927722,0.7727836487829284,0.773681992343738,0.8216409590624225,0.9049470747784416,1.105896225910525,1.65952524129211,0.8421071720834372,0.911995085053219,1.1080775168539967,1.0940675468984657,0.8021993110223284,1.0402076410922663,1.257322890090082,2.880573682314062,4.439518392916029,5.159511743413396],[0.7206363480170616,0.6724722380209407,0.7312823700662359,0.6494428348375949,0.6478032799686367,0.6007004075064634,0.5127068901141694,0.6269088425474545,0.514681188204922,0.4806849627169012,0.5448034791115534,0.6621478191827428,0.5598633201367457,0.5158848369258892,0.6849118345961341,0.663112021248933,0.6017156379124518,0.644367296978563,0.6568117183572296,0.6426833640820264,0.7825879379635562,0.7499077998991216,0.7925229305581268,0.9116004591013471,0.6548815398734279,0.6318168890699981,0.5894342391879347,0.5400525232419091,0.609191086539896,0.6728858920472123,0.7549164121622425,0.7496490221197262,0.881056440301492,0.8711508659239615,0.7837748949918204,0.7113939025060507,0.722417683634095,0.680159909870819,0.6525657945312964,0.7215895929335774,0.9278284027807884,0.6526109278228268,0.7381951372483665,0.6948015548833897,0.914492597615786,1.540089877692495,1.4249453285663438,1.0949113582791536,1.3283344898267846,1.3635894331581955,1.047772620923711,0.9373588215093481,0.7792436031237343,0.7188801878172009,1.6841254963163055,1.0931500254657072,0.9165487869942299,1.067054747258074,1.2216171545486343,0.9985275632530365,0.8859206685258877,0.8889308630941746,0.843040410405473,0.9856047241620935,0.7991300147784562,0.8123942061159797,1.008161655855746,0.7965811647270292,0.8599744058598812,0.8257778846456066,1.0555055100342852,1.4329182609172748,1.03358361804343,1.0971435569418393,0.8710168951170779,1.2864594625911658,0.836995382453481,0.9051180070223089,0.8265980551234727,0.8497147809745339,0.8771431813988585,0.8976012287025953,1.3604886604483126,0.9782833253837333,0.6872804772043188,0.7318443090453839,0.7391718476690485,0.8280193732258188,0.7395053176242766,0.8883714067438547,0.8570122699922944,1.0209854282443143,0.9437454032449004,0.8863744765008591,0.7970025560707064,0.8946259097517046,0.8390334350234615,0.8093934478635301,0.8068113960125837,1.0161337231150436,0.8408895750759098,0.935716892975344,0.7819748719541283,0.8492744445216116,0.85328770369813,0.8167012432434688,1.1299590428993602,0.7830736425696506,0.8094980202151123,1.0223938130706947,0.7401862136627099,0.626900553547159,0.5752773184963957,0.6029090697326448,0.5501596441209736,0.4938472577971155,0.5169220634927398,0.5301086938855026,0.6214521757825365,0.5992705428749938,0.566926436271686,0.5343718551294826,0.5015182300314392,0.4887923301012187,0.4875504553215893,0.5289127175632572,0.5715813355201355,0.6084371401466798,0.6467071013668129,0.6994029397359521,0.6748192998630526,0.7330063838632253,0.6597913746522888,0.7598166584787058,0.645030777894349,0.6276687574885276,0.8309874317277064,0.6113340765447705,0.6050529753358805,0.5989575989863962,0.6562264080744603,0.6555519262441681,0.6003849649385277,0.5567800660859372,0.5316338521360577,0.5803037523003856,0.5451904340101519,0.6224711799492098,0.6229538972106735,0.6219726430111927,0.7245573250094032,0.7640965739792334,1.4375716155308678,1.6184524693365048,1.1752449507404397,0.9652444773225084,0.7821902585827789,0.7915409849087182,0.7095294228008561,0.7740109915607473,0.62299350205337,0.6397562236166476,0.5729015243704476,0.5847011212839931,0.5824499934129894,0.7086896871752824,0.6648930130348168,0.7839737108239371,0.8566365682897902,0.8343459185260312,0.680043900841452,0.6112496259463885,0.5750820538609491,0.6268961163991753,0.6648312020162986,0.754700846258645,0.7255183678492737,1.07652573586286,0.7676271692372953,0.8635931939035998,0.8548251101932418,0.6963113351126524,0.6891399736834752,0.6476850529838344,0.6334033072858224,0.6432235556538239,0.6917463800084502,0.7637099748776338,1.1338902631113026,0.7220595202838144,0.9764828523052745,0.8595547847240026,0.7859205136079108,0.8805293573236022,0.6767272759792562,0.7302130958713455,0.7427379764425809,0.7410934885761306,0.7509659747693829,0.7806528498999785,0.8644484313010328,0.9380444836231189,0.8219787213021762,0.8052277198846486,0.9151477814454222,0.8780755135093165,0.8033751098974682,0.868420481540397,0.9698318534881064,0.8679052866860901,0.9086011278005609,0.9706772199870377,0.9431062545034351,1.0090412424189965,1.0664722107944031,1.0311914765523011,1.2130814137483887,1.0610892552955744,0.9858357474575542,1.0678627267889305,1.1483166417072665,2.2071412783170343,1.4617872137958001,1.7867970332999177,1.0781254004787222,1.1268584199798306,1.1545587847729126,1.2361091540765683,1.077177577287865,0.9679398680221036,1.0652778989913936,1.017231367674634,1.0939496136329931,0.9219706768975691,1.1173127425010951,0.9240281325569707,0.9475159564603127,1.0606619311326573,0.8687712311038603,0.9068800801518682,1.0191663167515095,1.1152272042581892,1.291414758716319,1.3788439185048216,1.3695761858775426,1.221587064114788,1.1939094728746833,1.4491266714217943,1.2663404986762772,1.1061940482727168,1.255441203129095,1.2813767641260703,1.062769395790261,1.1723891263261264,1.2908281306263185,1.146614616323667,1.0987411303879453,1.1861587144888204,1.1018735442443133,1.1299333263505935,1.1097358430295574,1.1014988295893515,1.1011970391232162,0.9843473556460736,1.0368369418118237,0.9934727818044602,0.987708648287077,0.8826511290853347,0.9506371225500744,1.0562618594283393,0.9577478513805298,0.8952625781864887,0.9986645737549108,1.1770707998542993,1.0132902185594186,0.9748624602711983,1.0953524462586925,1.1768383218061322,1.274213358480135,1.0670185528842007,0.9407784711968735,0.905025800613447,1.1123751893915133,0.9985956336689961,1.0081946273087723,0.8964454900076547,0.837039120320961,0.75838957251154,0.7328785710970623,0.7401186992704492,0.7898443808137384,0.8340481948407295,1.0241307597185043,1.6820506481373596,0.7921284139621749,0.852952073404585,1.031679173668285,1.0694435484552502,0.7746718624429914,0.99465159153065,1.1456914444235489,2.8208514164611493,4.364730214261693,5.094749953283391],[0.5821593843731273,0.5267460347785954,0.6008156618347513,0.5691123925338669,0.5383891066306912,0.5134815301344969,0.41981191682819324,0.5109226180232179,0.43640269570865625,0.410095477095119,0.4618480771726156,0.573522277442952,0.47136993755451634,0.45885813525235297,0.6192486523700123,0.5794365911196482,0.5184516798976132,0.5791823128147314,0.6023748123144151,0.5787855037852068,0.7290264366254977,0.6898444696423962,0.7582741662715726,0.8982477731670012,0.6363939523957584,0.5986782907503119,0.5307029998104891,0.47987153845926156,0.5309009296222896,0.5740301443351031,0.6772941520729358,0.646574743246855,0.7958219107762214,0.7676740238529528,0.6844784022010592,0.6240926071233607,0.6167840508792679,0.5809283334189729,0.5551073309986343,0.6090062048552023,0.8308690947209459,0.5771422062939343,0.6426140128113431,0.6297217059959251,0.8894659435753525,1.522637424932997,1.44633728960037,1.0532009946086347,1.2616076410080936,1.35810200050116,0.9898899755592846,0.9360487572465301,0.7068177301603572,0.631581875856633,1.5291403038977605,0.9370051355245883,0.8027440291036245,0.9544651987004615,1.110308310672351,0.9167194873415107,0.8053293025414139,0.8550627633187006,0.7975151842633315,0.934058514960499,0.7372953105883618,0.7603082593208316,0.9314257476611956,0.7232640464829792,0.8150158046822049,0.7732497835730879,0.9979430936536714,1.3853071103885526,0.9868407373300383,1.04977505028615,0.8200273911805722,1.2473370905247385,0.763718113897845,0.8191851336325768,0.7396666288463803,0.7508208675274426,0.7643167787043077,0.7952212526526986,1.252527146952738,0.8235796321813273,0.5998499533424856,0.6079895346411777,0.6373921313146687,0.7368035961506275,0.6491706775521592,0.802238077042773,0.7691532372274652,0.9631973031382786,0.8632136190142374,0.7947575634419705,0.7101473492478401,0.8058291549273583,0.7695783983836428,0.7109432601584983,0.6959027852506482,0.9525720383832782,0.7331562970357277,0.8361816310712855,0.6596215459065689,0.7239925795812346,0.7219005951695238,0.6755379913613434,0.9577793994408486,0.5959697106082927,0.6422130745612084,0.8952244763401618,0.5960040231490903,0.4983691207348777,0.4580819541743665,0.4993684434435437,0.4923580600706179,0.43910926722538135,0.4817265636305057,0.5006374065480559,0.5800480934131341,0.5469248673401148,0.5225123644936822,0.49718840615397825,0.49663771851592176,0.4532260775735774,0.42232357109740837,0.4307262249155955,0.48674039202716285,0.5123231895301484,0.5206749419256037,0.5648926285152267,0.5477792261857732,0.5903778649276461,0.524610183085665,0.6190867596914857,0.5394199813342063,0.530460382515912,0.7462507987725091,0.5430876961256349,0.5332960020163564,0.5253078251923378,0.6317722123453754,0.6310103379842948,0.5469520472196886,0.4932816272683408,0.44825517528069186,0.49437018083801226,0.4624064937586117,0.5344253186749083,0.5229309855779174,0.5349980753579412,0.6036531958866179,0.6677424537974438,1.3192782801661285,1.6484039468837743,1.1646593125743638,0.8338120288298558,0.6634398713840193,0.6607854992757766,0.59949276217961,0.6518326111884784,0.5266645194225106,0.5278892759216314,0.5022379765246128,0.47514115334656193,0.502159548905157,0.662793037195821,0.5955031352420661,0.7336750958391444,0.7967421730570968,0.7766330556055797,0.596594019914263,0.5279623705738758,0.48274399370142207,0.5176733384790281,0.5463989405998599,0.6295985178697829,0.619950836825065,0.9607442674741448,0.6438023995370921,0.7270941467885473,0.7565703170346619,0.5550295251474326,0.5579750386272886,0.5333061819080869,0.5468280966962635,0.558800424884159,0.6154411417122868,0.7288396154809081,1.1234333695434386,0.7182543729844033,0.9850445731130909,0.8311062203700479,0.7282044979347436,0.8146943498755462,0.5610594735764721,0.611853340628101,0.6298605902489014,0.5964112801908603,0.6099613061697883,0.6442359885808494,0.6818911535312714,0.7331650737656608,0.6485248133741309,0.6557983066289734,0.7456301790809109,0.7118007066553651,0.7024438017230503,0.7301138948327239,0.8106904549310822,0.7358109533452878,0.8009897956162796,0.8597239844263033,0.8263105556778334,0.9013249352931774,0.963854957546777,0.9258050794768362,1.1211275512029903,0.9416598777462404,0.8569660690793297,0.934285107723625,1.0135218492912015,2.065784833021143,1.3048762866289312,1.709529117267878,0.8966348619535837,0.9266554794903122,0.9653011726375145,1.0354207748277133,0.8852671141247935,0.7837868710319044,0.8761894931404948,0.8272970779334949,0.9393489690286381,0.7618963718418584,0.9749687553703923,0.7993054249563992,0.8228489254599678,1.0377162486256026,0.7264798235301054,0.7341684455316998,0.84002597357023,0.922868101023206,1.069264554076913,1.1626109709586476,1.146363866064817,1.0054250571322139,0.9804864225415809,1.2356700353411159,1.044096481453232,0.901886653443599,1.0751024807151248,1.1081631456192997,0.8900223483522379,1.0064867145739298,1.1491131821707823,1.0187647078750621,0.9636639195163028,1.0519107288096512,0.976047448318398,0.9652310565620758,0.9197858927537105,0.9051153056224291,0.9340119642937618,0.825488038679148,0.8688407871535236,0.8296936508207533,0.8453687812936518,0.7460446635175944,0.8065186077673073,0.9036918165736079,0.8407000510400268,0.7797219707094892,0.8621525646014592,1.0712950701502781,0.9188873646551193,0.8925162351550036,0.9948828874898605,1.1531423398661456,1.1586269589087397,0.9896889854474236,0.8454404550341774,0.8114719293363161,1.043661796730922,0.9464683786276317,0.9603727119782415,0.8491916140647873,0.780762982402973,0.6692483639050105,0.597834490577323,0.6361472350790565,0.6547946815803319,0.6755949788102322,0.8971281168552047,1.602215828618729,0.6354624219783184,0.7328545952738337,0.9425937380326463,0.965950599274585,0.6642886766237136,0.8884323761829522,1.0813616744024523,2.8720107853796577,4.3286177056088935,4.9076667430803145],[0.61971065417387,0.5579114070924347,0.6611909038456628,0.6169459518471423,0.6177340842642017,0.6144201400493831,0.5847746921388413,0.6804686698690486,0.6286043657372223,0.6287222424873148,0.706614358108205,0.8062194479543753,0.7282500102459282,0.7039294413266614,0.8824477074315596,0.833755806599641,0.7658061864022404,0.8248426123774613,0.8246121520890223,0.8312840851331036,0.9320688987722342,0.8904031908768641,0.937721842813351,1.0169955669213155,0.8236603829223914,0.8006516739665572,0.7698299502984074,0.7383094387587792,0.8058300523029538,0.8346614988687201,0.8925393935003062,0.8764761923582101,0.9953689697604067,0.981960491565912,0.9229798055020223,0.8796745269757056,0.8825420501474619,0.8565523994225889,0.8319327078953241,0.8847012063025317,1.0906643371189282,0.8348266024932771,0.9201005332589187,0.855497961261291,1.0364669713307113,1.5907958114852687,1.4884879048582393,1.2297740287066166,1.4142671205792219,1.349784130153246,1.1165884683678333,1.0447436430175814,0.9969826727524574,0.8987053878924548,1.740415885323137,1.2390893118322932,1.0824828810829972,1.1856144176881966,1.3430074430157726,1.1553144598712635,1.0328449048931312,1.075415325296324,1.0155043785423694,1.0871579132763918,0.932615531639387,0.9552929249013582,1.1340627303037814,0.9425263710015105,0.9831551599528339,0.9653211821778579,1.1608761705471988,1.5690306830066483,1.1455445490381178,1.1481324848786745,1.0169075653885369,1.3700460933659224,0.9862898937140367,1.0348281050331856,0.9846766388662634,0.9738104104512867,1.0115716226993618,1.0463092255799664,1.422739225016027,1.1017134384150555,0.8466211629242446,0.8847637383834314,0.9007588801916854,0.9701804182313425,0.8975135292698523,1.0047171368863712,0.9806881138013903,1.0902453379949049,1.0537767260666389,0.9962706236223535,0.930647409521872,1.0204114733400718,0.9573030979893765,0.9111519048358917,0.9233300057645998,1.1413867658128931,0.9654755316225305,1.0205634549568356,0.893566084266556,0.922342336639479,0.9206055135815825,0.8626721140733029,1.134767991902105,0.776243179181335,0.7843185878590829,1.0207723794970658,0.7454264674580251,0.6818954228138308,0.6422464090059562,0.6717433837720589,0.6791665899354908,0.6386698913536599,0.6837757748020158,0.6764143073814174,0.7623939258202941,0.7644392597214311,0.7170965561471279,0.6765873801110698,0.6003558396523376,0.6177253280930547,0.5718136973017401,0.5961483213236157,0.6486770771426263,0.6765198536122289,0.6731481913547351,0.72411403582183,0.679528915190871,0.7572627364244644,0.6941268280837963,0.8024477450278147,0.6995091914337974,0.6843154457808835,0.8156996430906682,0.688068783009754,0.6791762474487808,0.6789786218664976,0.7405073598006308,0.7692700048335438,0.7621006814410541,0.7058103535495209,0.7053483801230349,0.7511921355368427,0.7025629575102141,0.7532816945643164,0.7383058787678809,0.7243288785251033,0.7952739718333709,0.8402254772024539,1.435256033152003,1.6861190678700966,1.2390793603611878,1.0376570598970214,0.8924729824213332,0.8682881885288156,0.8244573948645695,0.8711078505030527,0.735994758626257,0.7669709885903766,0.7171023051986839,0.7458731267102374,0.7124041870537515,0.8043043400951254,0.7275881437567772,0.785500249341495,0.8224168962647985,0.8239089513636347,0.7212400494716513,0.6934701953385652,0.700619830204692,0.7505047409141357,0.7972083997347165,0.8652452124333757,0.8496672141960759,1.1411846507036054,0.8833620988951356,0.936924977869714,0.9350953827402667,0.7830687216804479,0.7764546751268716,0.7551151381925479,0.7599625803039319,0.7837370514474761,0.8509966380595407,0.9478214257270643,1.1945018025876173,0.8149118771123355,1.0640795672455237,0.9292190787471882,0.8177625462550675,0.8984727665791276,0.6782513823264648,0.715356141152261,0.7125104352444106,0.7122245073889268,0.6967552379765919,0.7893241411780835,0.7972135865201371,0.8707399441317777,0.774069222541302,0.7397125574593378,0.8492932227993081,0.8078899902521784,0.7169590190844459,0.7880116281828874,0.9023882834911112,0.8044789414283375,0.8554555322923099,0.9338861876292051,0.9049375863139143,0.9801555753163702,1.0174769360364304,0.9410308791600394,1.1666845176384641,0.9490939286039825,0.9020976553710763,0.998235861811946,1.0794761529488859,2.274049129770739,1.3536342454193286,1.7786598193154906,1.0379580227367666,1.0968061236284452,1.1175113494189917,1.197877759814491,1.028602650321227,0.9072540461671919,1.0188332594671385,0.9758656776888093,1.026825494061537,0.8806655247095465,1.1162961055819105,0.8262936425792408,0.9193817555594513,1.0786493925086043,0.8209663972090807,0.8772008869713587,0.991711828113781,1.0570421435831099,1.2187310829473827,1.2906618393733424,1.3181884354960465,1.1522986223874012,1.1348518476619978,1.3665095632400517,1.1674123417812183,1.0352276171100243,1.1970822340919234,1.2069849637861894,0.9833063244772619,1.109217947726476,1.2388778319530418,1.1062162773823963,1.0740377679020128,1.1661979712205996,1.0846344895022682,1.0964733914872724,1.0573083698878705,1.0520367321101642,1.0600293405761343,0.9319784503840661,0.981813695879838,0.9404251831023883,0.9381294278096254,0.8245990418150607,0.8795766329527674,0.939128790194128,0.8868849983545021,0.8424578479468599,0.9113434995522433,1.0687972591659896,0.9146886696629002,0.8681383171567462,0.9397595466439059,1.081488894006566,1.1043867069355229,0.939148313868601,0.8340903791471376,0.8014438437750872,1.0015907705643199,0.8685260313648581,0.8556488627420474,0.8070137868394854,0.7601070803536981,0.6798673750845972,0.6877423009196769,0.7058958942191471,0.7170602847338585,0.8015203689966288,1.015315818469109,1.6452314378245938,0.7305434753202098,0.8378600658746348,1.050635411827896,1.0076265647189442,0.7426421655635607,0.9664994948835374,1.3236872373784023,3.244404847477171,4.959529274177876,5.6942705013511645],[0.5017882770286162,0.38983465697779196,0.4806433132757058,0.5120498179844506,0.4386596946624728,0.4173601162700017,0.3507292981351494,0.471421309010959,0.4037615910575859,0.41790177625562375,0.49073761199997123,0.5844184482709494,0.5048735417202737,0.49851244123496996,0.6776418593978492,0.6298714196955099,0.5760086376715354,0.6453333790743031,0.6747125203538308,0.6497061080203967,0.7767607499126611,0.7351146177718061,0.8037672855223154,0.916445782288602,0.6857065952957054,0.6653601810738019,0.595855879750841,0.5498046732042778,0.6004663986428094,0.6233751578730793,0.7083535369696348,0.6663355825544997,0.7963997321912892,0.780125889449129,0.7120409654187273,0.6688562941325475,0.665961587981272,0.6573739326022754,0.621343142338712,0.6663036533689458,0.9196561579675748,0.6616589603210778,0.7344272716206769,0.6989863019135272,0.902055073243749,1.516537532311617,1.403241934988343,1.1101470617347076,1.3481379033872245,1.3539597448573786,1.0672734531270902,0.9314818974906146,0.7974580848410194,0.7027106891271496,1.6259568252705119,1.0349299739855364,0.9010421969080158,1.015314325144225,1.155225180606261,0.9788584338631998,0.872831456292934,0.9034309003363855,0.8350728238133561,0.9795550796604404,0.7891528357645613,0.7864117924805266,0.9923434650785157,0.7802129579526509,0.8383073227594539,0.8114527700074847,1.0421095705450503,1.4592212510883493,1.0140315354243052,1.045685201773209,0.8440227601081879,1.2413761394622143,0.7944866342749402,0.8331831848692802,0.7732931701053587,0.7933194276751565,0.801570990098464,0.8523448928949047,1.2489727829323454,0.8568462339113728,0.6391363276110009,0.6702676030710819,0.6947646577326819,0.7688175684831634,0.6932743243938038,0.8260535813947786,0.7842878860497796,0.9430462245108816,0.860492784041438,0.7919351448288978,0.7346474879662339,0.8176128276735436,0.7901187536081218,0.7160121084034757,0.6973647258637116,0.9384564857452543,0.7098313649296499,0.7985873229367811,0.6394879701446853,0.7048446994514037,0.6841659326462135,0.6311105597875929,0.8990597703433185,0.531602565719523,0.5646736781670858,0.8357541025316191,0.5093305455150317,0.4526407884295869,0.41295554233185044,0.4910536209765246,0.4929369977655273,0.4850874760254847,0.5087371661561277,0.5259662170374375,0.6302108826242658,0.6009461638400817,0.563667809658151,0.5234072168343505,0.47113270386100964,0.4683247804710839,0.41470048331892273,0.42825116595397367,0.4893437145088209,0.46502969082957557,0.45284267175085047,0.5095372766324182,0.46420993250826176,0.5124868620517085,0.47392484232354726,0.5971765475237467,0.5100327561197165,0.5127932322529763,0.6856226620390344,0.499735255463051,0.5165821082555773,0.5141084854057649,0.6112917574441683,0.6374105265515497,0.6083244378130352,0.5321667187200052,0.5113172429111512,0.5533981290055158,0.4984083854133238,0.5396624542482243,0.5235403057131431,0.50696452226058,0.5659626180921271,0.6207167030215129,1.2479664233131937,1.6881216483256443,1.2053881588157085,0.7950156273519537,0.6355112782508513,0.639482490320367,0.5925367643888106,0.6301756457141253,0.5329957689505329,0.5443280585169749,0.5044404022650123,0.5239549419513823,0.5619055991972699,0.6270878399753383,0.5574814685767964,0.6558888442130754,0.7061821685844177,0.7044666925523773,0.5618177473286381,0.5124527147415923,0.49562620133864277,0.5268004173252806,0.565126966636101,0.6329880447318951,0.6246533201858896,0.9557180767140288,0.6690491185904989,0.7135741896216109,0.7195491009863672,0.5588603729346601,0.5494036433980188,0.512527452662527,0.5178643602276977,0.5720917930375745,0.6505626803474782,0.8051872449815753,1.1063716309632532,0.7085930768015041,0.9226829811574634,0.8618013946084212,0.7005114272576104,0.767772975936536,0.522200934532358,0.5068786795470206,0.5219085549638646,0.48747784011322876,0.48960385141659135,0.5408983287329755,0.5582612133782631,0.6395276665330386,0.539320578983473,0.514882905141341,0.6149053429021822,0.5878063233373079,0.5397907830033436,0.5723077997497268,0.6906801683847158,0.6030447611039444,0.6660202840010302,0.7306669159582023,0.7239386996415668,0.8151457670215528,0.8362134673168803,0.7795756969322399,1.0015302778202027,0.7687124296984744,0.6810475677015749,0.7756031192931037,0.8395428141862685,2.1709069434485495,1.1630954747127098,1.6725391150526512,0.817704377617491,0.8605130634567898,0.9025566659145561,0.9923410682350459,0.7882460589319151,0.6765342551230483,0.8116586483900698,0.7808423564823879,0.8405376702378049,0.6470666138961003,0.9587458507416146,0.6127216554020806,0.6802452925114085,0.9770354262199384,0.5984393047485154,0.6453343736368311,0.79723722879954,0.8628777633661276,1.0376831480758217,1.087854489355063,1.104530250670345,0.943551173255761,0.9153754609522085,1.17836436652826,0.9667580023217653,0.8343794431830778,1.011003100106218,1.037238771316734,0.7978169749458152,0.9063916578018726,1.0627862058180335,0.9160313978027315,0.8733846614947347,0.9518815102487671,0.8546439655835364,0.8586860322894159,0.8183596003503628,0.8099210063869627,0.819161977370604,0.6934915359630811,0.7523280334040826,0.6901179396768481,0.6980844402268099,0.5853541321313426,0.6437657339050666,0.7356122963364781,0.6759135479457103,0.6004614944877066,0.6880251360810015,0.8969065079092727,0.7400445184742541,0.7062549299470415,0.7850556471922386,1.0326804828860479,0.9515570524983352,0.8011600197155866,0.6711807473391719,0.6401215739892349,0.9039492797651159,0.7659449927719926,0.763944702927699,0.6704196107236149,0.5972676846673054,0.506876884541262,0.4900633454682747,0.552148059463074,0.545987273229061,0.5726932270039518,0.8034518593589296,1.5802810284058106,0.5322146946923608,0.6515089505879659,0.9015113198996481,0.8085153910759791,0.5882415290758878,0.8530544053113557,1.2889439142205283,3.399158836065958,5.061626127538623,5.72352093911779],[0.6081764487503196,0.5452231191564018,0.6595966255794755,0.6654129166044532,0.6385486898830309,0.5884205524416602,0.5746361708898471,0.6633028659509295,0.6015510511011873,0.6171739015609404,0.6682229610639896,0.7634619044238041,0.6970629197196493,0.6480741675662558,0.8252772842328828,0.8085143822120542,0.7208323514780464,0.7752839922064161,0.7635351313815965,0.7801529055101485,0.8661032269235084,0.8449629660604397,0.8486579347424705,0.9457177354613063,0.757381428371309,0.7364161857396366,0.7240700711368733,0.6945079161847606,0.7556527302895167,0.7959025254087881,0.8440712739910918,0.8464921615187462,0.9192035305458022,0.9102682719664638,0.8648717169934974,0.8272510746508899,0.8336437314104433,0.8160606438344408,0.7856301681739601,0.8430242351644427,1.0773208267301322,0.7962315784936499,0.8934147509841567,0.8326081419809838,0.9804523899901094,1.5676954846740674,1.401556871478802,1.2588184820629016,1.5149727398722235,1.3646046686887057,1.2023973536640453,1.0894867364818839,0.9727777077312856,0.8616566835490287,1.7844742075222764,1.256194984478228,1.0573520154177276,1.188589363607429,1.336874824111652,1.103349214390022,0.997360949032101,1.0117805562702789,0.9421903888084014,1.1053789684118314,0.8963575460271047,0.8889260092394258,1.0085630997247506,0.8905887274716137,0.9327324393888287,0.9148563306556683,1.1190769087735208,1.5361132129649457,1.1078781387410819,1.1109022373874795,0.9463886266605579,1.287174142199849,0.904369094366138,0.9509373430031337,0.9111924791688336,0.9327103337754713,0.9816507391815855,1.0266111452880529,1.395035183688812,1.0690436539400308,0.7828445394689891,0.8425136562961867,0.8601014382236257,0.92214517588589,0.854861825587825,0.9603253514356007,0.9175703866933888,1.0568812103243372,0.9886630006041409,0.9265672250735201,0.8764883420287181,0.9522900486854586,0.940953629549709,0.8715350539009706,0.8584072778238774,1.0273324613870392,0.8470542984822235,0.9172570392576439,0.8071636498005023,0.8438830496392118,0.850632787217229,0.801441136260742,1.0250817615479701,0.7465550154540687,0.7716288632340406,0.958868799391687,0.7222862574534443,0.6827728894393874,0.6374817333612227,0.7005373877983258,0.6836425593882125,0.6519018921950108,0.6735541574771071,0.6668721214494342,0.7361566884459283,0.7268518443257623,0.6875757376320233,0.6452791561074422,0.5956686952731741,0.6096490874380662,0.6044328904048782,0.6551444109688357,0.6626880168780233,0.6860100663340447,0.679404504531619,0.7154601174233985,0.6942853021702059,0.7105612698100789,0.7012876339969697,0.7751270277333778,0.7363439447904827,0.7326633585173533,0.875575214777932,0.7251264985955453,0.7067045553495602,0.7197747847761781,0.73265184435377,0.7424128995136234,0.7238921508075749,0.6959680237354154,0.6943376333824066,0.7290725309627565,0.6926963809721475,0.7257744569058497,0.726690511412651,0.6953755255869748,0.7281725467353826,0.7558922518828562,1.3252603521516977,1.694442966989631,1.1963764804123649,0.9199414299695665,0.8064804311221025,0.8040892204061988,0.7737298951213105,0.79488853837083,0.7254856530552007,0.7300708037126666,0.7033429091464413,0.709357189697404,0.7361780700152551,0.7886747928870134,0.7625695034104213,0.8323294932428894,0.8915730187382781,0.8838163382539078,0.7824827019145985,0.7472955275901391,0.7107626070437355,0.7249808557154296,0.7534594210974582,0.812132285689584,0.7971688155801034,1.1097682927282757,0.8392017824378045,0.891169588660937,0.881937549181979,0.7598984354789002,0.7531881438253961,0.7210102344038853,0.7077869225253849,0.7502849874713464,0.8005522897481485,0.9537725038299779,1.1407585237637952,0.8102106389180967,1.0235340925703882,0.9265827406339336,0.8227809589252076,0.8932844737580983,0.7338810110643114,0.7302371303879758,0.73954913515831,0.7191022759653746,0.7059533109805372,0.7132689816426809,0.7460865689361519,0.8048388162628245,0.7278435684404638,0.7017477943387437,0.7739119872874665,0.7471047855836744,0.7057180996296392,0.7143223595952307,0.8023970461971921,0.7325578356709387,0.7718406476185589,0.8233064950645749,0.8295089213836363,0.9245696020219113,0.9093685272156594,0.8554052674962591,1.0457694663173738,0.837899096507711,0.7820180544254609,0.8677475493103142,0.9219512937047726,2.2847424839581985,1.187546169851679,1.7185208272737527,0.9210149948291286,0.9757785195894979,1.0258754092583233,1.1451957060722229,0.9159208860175756,0.8400754970302557,0.9732412001843711,0.9536334180308815,0.9708600276572922,0.8254100948870761,1.125842558927274,0.7910241397371811,0.8435350766241567,1.0728648582017208,0.7984657989184263,0.8136516621119304,0.970335684244231,1.0232936351035784,1.1704522200793346,1.2212461503672827,1.220533967284105,1.0917686928317318,1.0438580147007834,1.2825678339970508,1.0776492236618211,0.9469347511473086,1.0811323888007007,1.0855393847878079,0.8881242990973524,0.9770606343053279,1.106150037192474,0.9759794329652978,0.947500402827577,1.0225350507722624,0.9292607213837596,0.9541413921057771,0.9205378658507831,0.9186441488758464,0.9170488762665099,0.8032630379885157,0.8776517407444165,0.8043379994462103,0.8077897438843514,0.7289570920681212,0.7764739635210162,0.8391704637713787,0.7957798886735239,0.725813200890294,0.8269560157072299,0.9432864480033227,0.8328156402251643,0.7934322579156453,0.8574351387829287,1.0747915658930318,0.9855337454971763,0.8670910656564799,0.7755341003930917,0.7529309491513821,0.9695624202047485,0.8468092141980278,0.8282440287327049,0.7876743836985685,0.7491620937811336,0.7138147083092468,0.7116694249995282,0.7433345356595388,0.7584601578756884,0.7536589073256723,0.9285316504113046,1.6432184029738142,0.7234496183573661,0.7885564577808858,1.0146024156911388,0.8505548191023719,0.7194720372824539,0.9636606791231642,1.5283958653766516,3.633730293574184,5.5058160520187025,6.3499653759976695],[0.5681989227219639,0.4876180515129556,0.5946781019224635,0.6789488805165144,0.5893519279865412,0.5493931694046502,0.4902609824493709,0.5796767489912392,0.5222598188510897,0.5197296035609034,0.5699054054628377,0.6511861505921883,0.5959945468458019,0.5870378872542145,0.7465954161534346,0.6930300015511734,0.6448457150572455,0.7046311005555023,0.714822913116309,0.7105319654846167,0.82566253710272,0.7851752206327225,0.815235343511101,0.9397070630983506,0.7099424776053096,0.6996655334654752,0.6710175128997952,0.626561426706583,0.6592523650285785,0.6854102621016184,0.7358656960418773,0.7042365723533107,0.8105136597740769,0.7860569795043598,0.7402950281033105,0.7152228908958732,0.7164476282823586,0.7190638808872737,0.6942209156338162,0.732613835654746,1.019805969610338,0.7106156148153795,0.801370193256497,0.7527038394436449,0.9358562500195384,1.5145212893549425,1.3456508168654544,1.209970711975489,1.4428807813184767,1.300253408516316,1.079849713700705,0.9734380160124823,0.8698454033974001,0.7746511512270655,1.6723591776234383,1.1360383634925646,0.9710164274558739,1.0918206546053977,1.2280948954965065,1.0277030579122703,0.9174682138588037,0.9366262528846705,0.856976706480712,1.0039461356455,0.8163511145965717,0.8245334764724026,1.0042552728182919,0.8257796974014048,0.8877737273586975,0.8523693917776243,1.107697878005774,1.5119546121250653,1.0465756261522623,1.0500855002816671,0.8632153473813665,1.2143238287844242,0.8142297321383922,0.8438112101192438,0.7981727621367398,0.8277560570059123,0.8457677169639166,0.8789093246999349,1.321579368744945,0.9470646441009134,0.690389542524499,0.7279462740072682,0.7414610117244802,0.8091887394731577,0.7314816662846741,0.8386815980672485,0.8050151131272505,0.9357402594842159,0.8632886633578721,0.7957787394031728,0.7566021743925971,0.8440090894988488,0.8457011418374341,0.7386891826271874,0.7315652464452622,1.006485793367711,0.7665753020578278,0.8435582310154733,0.7117089490166185,0.7834094592563435,0.7613159519752054,0.7381204692797381,0.9472726619069692,0.6363196208003604,0.650714601064291,0.9093958761385319,0.6002663789127975,0.5805846427056556,0.5385423236472422,0.6088630802882297,0.6144767479153133,0.6003991351278469,0.6001873542852724,0.6188952760718037,0.6839386843358889,0.6556979812127895,0.6353025728031195,0.5965090064017025,0.5666024386863034,0.5736782885563458,0.5318877106906489,0.5634164061335316,0.6057758115940091,0.569345795011384,0.5740558452032016,0.6295483307297951,0.5959006016086744,0.632882423011093,0.6073465810109188,0.7180742744807842,0.62705110121844,0.6342755396284889,0.7704791188594747,0.6315259136978765,0.6619050416313352,0.6539615907515756,0.6799128225149215,0.6896084818472635,0.6654153748010264,0.6240806034989967,0.601889824542396,0.6381537122835085,0.608272580120103,0.6435749490439963,0.6335491425156029,0.6066116917678983,0.6596205576905158,0.6888665717679392,1.2144726054204666,1.6893913608489795,1.2986309353059888,0.8501185964334262,0.7126708655198813,0.7324180161130244,0.6911069057312295,0.7350619410737876,0.645413910129686,0.6551050578907531,0.6220561335011291,0.6353019802885644,0.634239013315856,0.7095946632465752,0.6723505341819183,0.7678393542015108,0.8064746565759857,0.812090232566166,0.6973151183088713,0.6529162651933733,0.6110032286901375,0.6483445695173149,0.686342486993474,0.7253814402130562,0.7117057615013154,1.0114526432863948,0.7605597298345107,0.7927789513801463,0.81609585489323,0.6613885549009769,0.665452516393607,0.6338201212928865,0.6325254774493816,0.6733757330897137,0.7345257114063715,0.8860037914330227,1.0991495279865637,0.714210412914978,1.0083795790510972,0.8732219806027189,0.7519702840299844,0.8664811176037303,0.6238670445707263,0.6337459651907842,0.6305895512226843,0.6285059649914921,0.6181026124877375,0.655253562628322,0.6582819890162819,0.7088640659045168,0.6418802665991654,0.6201849701978128,0.7040261299656071,0.6840712301144748,0.6290684804988826,0.6483107839829634,0.7517532231503219,0.6761871467621557,0.7155064660100132,0.7769883529311874,0.802375934645602,0.8621529603621756,0.8348984199252472,0.7818968814249224,0.9891649798643831,0.7665669717449007,0.7060911948228332,0.7774975964511962,0.8112188822935313,2.2193462168504574,1.1184808203668681,1.731139186928172,0.8903988407030353,0.9155832062098315,0.9520923800313655,1.0755156894487257,0.8319730554678436,0.7422815574032633,0.8843949611889267,0.8831507392714433,0.8801448541807586,0.7362850939673127,1.0418585569509682,0.6787516468224104,0.7695044243838749,1.0073413046271542,0.6775108236073129,0.7358545838200862,0.8885824188701962,0.92820571447949,1.1007414893461216,1.164371164363529,1.163131058087666,0.992257366163351,0.9768679336505143,1.2116516711386496,1.0087922247896957,0.894409677551453,1.0632740110623364,1.0686294440838466,0.8370598581925461,0.948028693439123,1.1023456224684234,0.9618083511537122,0.9269241405060398,0.9992425138129128,0.8958510760633991,0.9066503330846526,0.8688477415074812,0.8654605325686485,0.8553237518205099,0.7368602089868096,0.8029600417801257,0.7305293201226748,0.7303826056473058,0.6654181586611146,0.6954816377874969,0.7831208149995401,0.7698621405354362,0.6823539196235665,0.7746328077423852,0.9301537587586332,0.8064930824992341,0.7554433001058929,0.8161027276983783,1.0862294036263642,0.9289437037686586,0.8242771270079793,0.7110948875325669,0.6935981349654282,0.9417294571970307,0.7930632311192292,0.7807030555992016,0.7566411513830386,0.6680715816545189,0.6360971213166798,0.6167268851593944,0.6368768129170922,0.6551947601699964,0.6727250581419532,0.9031817508774888,1.562109014100637,0.6385586923439812,0.7758259829447935,1.0628287401567782,0.8127870074553424,0.7055434670627724,0.9329527490184572,1.5990340855501466,3.809493760132604,5.60091828275161,6.542567052241744],[0.7237485523394359,0.6699312497422671,0.7820809140503527,0.8324749492260661,0.7530187726507196,0.7196629239387367,0.7049574991602429,0.7584529605014415,0.742109702928976,0.7980958059528154,0.8655337710393781,0.878856729564773,0.8675358638406269,0.8767667394682475,1.0310936787023417,0.9697544536897927,0.9183397456423297,0.9881149498128778,0.9901463290538142,0.9879054725664267,1.0754221163248796,1.048096859074683,1.008449596530485,1.1035406523967453,0.9494784587804678,0.9463004743258725,0.927891157409729,0.9075707763324696,0.9299467695033992,0.9484514054587547,0.998891094366569,0.956080427634803,1.0046577085346675,1.014830056995231,0.979627023979086,0.9763764983894577,0.9373217182224787,0.9605548216628559,0.9472132411682322,0.9861503587941735,1.2246771890000374,0.9988152322287356,1.0867441939507572,1.0318742800944392,1.123343837423762,1.6456724498605406,1.4561402869900455,1.3277285144819704,1.6401006963435365,1.4581156331980043,1.312951959011793,1.2192108713375625,1.1210720247344619,1.0256777915494304,1.8894846439689446,1.3840506931906849,1.2205275657198147,1.2969209763800293,1.4329061713834577,1.2296351627730617,1.151378995100357,1.1464082642488038,1.0698683174647996,1.2289268187178393,1.0770330377492061,1.0593428723086662,1.2083596421469716,1.0967623523086028,1.1404956491335803,1.1241891963590476,1.3207040194751951,1.6519403995906392,1.2792642479760574,1.2694398579176753,1.1019702004297816,1.3638390577996238,1.0515007790896762,1.0584186314550403,1.0133849943277373,1.0608887117773855,1.0559024337517426,1.1061274504910963,1.417908460664965,1.1577644939238474,0.9304124761067166,0.970378006572173,0.9844982825124151,0.9983060043608318,0.9961357643555487,1.0651065024211708,1.059640528615526,1.1429799124544857,1.0991940564483313,1.0330279563454845,1.0088068564869366,1.1014765678422507,1.1004693038194928,0.9695188595641631,0.9468985075974518,1.0618833514606356,0.8970911480130624,0.9311422742174128,0.858154023368754,0.8765854290217219,0.8880916625433367,0.8633059003108935,1.0251294101268713,0.802456517707309,0.8222080412578675,1.0162911971925679,0.7903675172725697,0.7944141782981683,0.7636396747854783,0.8525083156573665,0.8750599951206386,0.8541336887682446,0.895227030916023,0.9103370319799102,0.9788650810393824,0.9786029086925989,0.9435561888550668,0.8843554312892248,0.8212748460302602,0.8051659894700106,0.7858111903712036,0.8140739052157953,0.774976434170748,0.7968932182792146,0.7748428777530435,0.8131213552790293,0.7935838290744142,0.8110977678867898,0.8110336968133737,0.8729337784093693,0.8664138099492064,0.8769080214270855,0.9978771942710191,0.8794766229342056,0.9121488385086106,0.9169295074372437,0.9432736244794083,0.9494543342749209,0.9507300102314203,0.9038591033865003,0.8914293820230815,0.9096528685224471,0.8825455562312794,0.8793706556782988,0.8525916018839105,0.8164415234475467,0.7903461562327669,0.7960760734372393,1.2939255027253842,1.6584081109741995,1.232092775429786,0.9404070413692976,0.8604767585267581,0.8451739020862091,0.8713015843613253,0.8958294776458923,0.8648237521952287,0.8976216052387082,0.8839560357762715,0.8930124268901282,0.9089773679017844,0.9375981691222809,0.9148215306974847,0.9663580948286338,1.015927988766203,1.0168440344345238,0.9259691188251543,0.8972985173543612,0.8586822520846245,0.8546331260158777,0.8788366724364867,0.8947597311535799,0.9007650301815839,1.144623526138592,0.9423917501902085,0.9768319865967684,0.9551234636580715,0.8577955686451919,0.857211219979918,0.8416339474974385,0.845223219983259,0.8881767824227247,0.9472308013599248,1.0900017588743667,1.2136806922399084,0.9434789016547146,1.1161089595716593,1.0622556900431868,0.9589507812829148,1.0263107449386435,0.8325921083817923,0.8359015209420011,0.8172669050853266,0.797844715916707,0.7876346259509832,0.7819784923086074,0.7964896338422621,0.8349315346324181,0.7799218200418034,0.7622536628548171,0.8260008736788674,0.8060359842899317,0.7957941602346352,0.7883406260990802,0.8652927591092038,0.8102638585686844,0.8426147145373709,0.9062908391793918,0.9229327167975876,0.9742738444979907,0.9516206704990876,0.889817940690692,1.090504171742135,0.8927990069101145,0.8455230670021922,0.9046112596429989,0.9382219307405504,2.2488054227972043,1.193672447000407,1.8049323529347674,0.9774489564418214,1.0074782147780292,1.0511859576905207,1.1908658860640062,0.9395512696791413,0.8679668751212765,1.0020708549376829,1.0119593526036585,0.994918700529555,0.882384858989071,1.2106117741475066,0.8214494739287371,0.8876140439271383,1.0876503810855134,0.8404854617133105,0.8714857988059601,1.0200998631903704,1.0436386816265064,1.1899065598015992,1.230516208831304,1.2311005849206924,1.092542438852344,1.0696618392112338,1.2803108118462996,1.085502036272804,0.9880811783290459,1.1334379339289262,1.1262684259895939,0.9262985601040021,1.0392029029174767,1.1855848822222912,1.0622104844853952,1.021182270058254,1.094534715201398,0.999027918783347,1.009075524692659,0.963044082861725,0.9664510377917453,0.9639070149797628,0.8540640922723826,0.9188436374901839,0.8499651866763206,0.8563912892443405,0.7889275600914966,0.8132533745455671,0.8962120382170844,0.8866510244677589,0.8153488946958081,0.9290914769824812,1.0042157923650747,0.9126868329576726,0.8699172474691641,0.9096340673156966,1.1469059109725446,1.0190828648698602,0.9260643728544403,0.850980608399292,0.8392443817291673,1.0355176238058987,0.9090593697767708,0.8867973012781772,0.8885239461176723,0.7972957415266287,0.7758504027334471,0.7928626335736025,0.8010679693293191,0.8042402615730971,0.82107655830845,1.002081990947115,1.5951281762248293,0.7821512190912036,0.870940805954776,1.1246470550505299,0.8675120075334078,0.8182447042757319,1.0261419259739852,1.8001335326806267,3.9261144531222754,5.850173062754271,6.897204357750137],[1.0491026803620396,0.9652067628769322,1.0387204144723559,1.014444141472737,0.9459810795715761,0.9173763051543403,0.8936141010286401,0.9405795655057326,0.8938677522652926,0.9670840127857867,1.0592786028208285,1.0565721646483348,1.0711042350503523,1.117378127804134,1.304311923294859,1.2391123734391962,1.1708906661941327,1.2915328982233258,1.3159894706581645,1.2922726138347584,1.3806821945237027,1.34691650111206,1.3053501837345585,1.3510008664542674,1.244001139902669,1.2494512616740323,1.187774283223099,1.1563561622101437,1.1937415960544282,1.190790848082159,1.314104338284431,1.2274261657616157,1.277595747922629,1.3356075325063783,1.2692576872581933,1.2598128377400286,1.1947933129261252,1.2291969748491003,1.174236528650766,1.1953430010700372,1.4131008579864666,1.254124479795676,1.3446354308958124,1.2779646002931115,1.3401505465209247,1.7719097717850059,1.605026674780503,1.5233501726276237,1.8530979452199159,1.5735751003443337,1.5045981659315055,1.370935215791043,1.36819158112272,1.2480227213842692,2.1190318519966747,1.6890296671120981,1.4994016794874148,1.5861020482897938,1.737558257407975,1.5023290065506716,1.4465017805936564,1.5053087921361197,1.4536094379387892,1.6325974952955749,1.4385187408538793,1.3881348157297548,1.585834163002035,1.4508629084668236,1.4988404546335379,1.4619323770454302,1.626706336987269,2.00961528387335,1.664146559293889,1.6426034028542364,1.4930584426609217,1.69474002816133,1.40224556235788,1.4292502233477127,1.3303234055685722,1.3608204790913188,1.3002033149608911,1.3168009431196162,1.626917394326953,1.4052291480635417,1.1196818093847438,1.1905650404799708,1.2366362101262862,1.2289643133661532,1.2877697162311053,1.3602264679484846,1.4153609916814305,1.5077542701364226,1.510377184081876,1.420172931805675,1.3502744977952412,1.511028856750764,1.4066523633226258,1.2419483162489156,1.1663159959094274,1.1868368555376576,1.1057879662026961,1.1245279017570178,1.0677647722625374,1.1073299337094646,1.1048067196288136,1.0774844073593708,1.2386568261612805,1.0440441403611953,1.0561979891155937,1.1890222232047962,1.0229345491333897,0.9873455713068131,0.9446307737466677,1.00960529741899,1.0472575778813025,1.0485937520331843,1.1098081373606472,1.134186254600393,1.250228183160477,1.2170913383316981,1.2087921396500019,1.1009608990216084,1.0404615015845153,0.9807320533769858,0.9317334225711101,0.9694749407908919,0.9627901344068054,0.9930463372821938,0.9897803013946167,1.0211254874802689,1.007258005055635,1.032792794709414,1.0133637549710255,1.0535522076022652,1.048052777907503,1.0433916374081618,1.1377082369207192,1.0201027354236607,1.0508337372871295,1.069258056991187,1.109037096971861,1.1509714329211616,1.1527450033797928,1.1029563258204607,1.1180469133096689,1.1352436316803496,1.0879933388508454,1.0849738551012376,1.0284079436107139,0.9806578609612382,1.0140350664897984,1.003175943085318,1.4971237568262974,1.7420817693665702,1.2338802506635382,1.133545153038386,1.0666681854510403,1.059629717583124,1.0757396091432163,1.095871231585363,1.0270396222182,1.0979575917715916,1.0782257673782842,1.0915061400629715,1.1114175745069153,1.0959182028035233,1.0748823168846688,1.1132061276784933,1.1262422599663091,1.1406718905920794,1.0737901068001816,1.0549819399104998,1.0317245165815436,1.0387781469259147,1.0656465289019428,1.0827476975224632,1.0973650198615688,1.3595409322725733,1.1463773669883923,1.1693904144910976,1.115728840121275,1.0506804550203865,1.0595101205979112,1.0357441354193477,1.0210700888915922,1.083765250533156,1.1421822565869462,1.3088060573331102,1.342325412552713,1.0926288385439773,1.2740370378271766,1.2055285303923011,1.1178134924174326,1.1912825401130296,1.0215211686958663,1.0352693431613802,1.0146558913536032,1.047791009378887,1.0486412903003872,1.0520343420314044,1.0840433608042037,1.1135924821231513,1.0573343078452055,1.0505660831689967,1.13880894507299,1.1110331441985841,1.0584880889550785,1.1009183816997914,1.210647103611969,1.1258253654851331,1.153577788324916,1.2431010433249379,1.2466625854027173,1.233401539492182,1.2445242627058983,1.1677025154931326,1.4186520996433325,1.193423741930353,1.157328762239982,1.23820268822351,1.2736499741873648,2.3564611375301365,1.4729565486993976,2.10400206361231,1.3247533477371638,1.347670043101111,1.356961706855236,1.4991147624491032,1.269906388386887,1.167388578410189,1.2626725912454997,1.2799654955405633,1.2345838561343498,1.1513821518709921,1.4366682240108877,1.0820620175912248,1.157519144277422,1.2746074711180655,1.1149674145138655,1.1396328364558375,1.269612136100865,1.3151063978906448,1.4164405971581422,1.4953231278978794,1.4854460358891857,1.3376847127985896,1.379925410831042,1.5534762543388403,1.351240924362534,1.3096244210939139,1.4535760204191768,1.432524861589518,1.2636905013287618,1.3940205848534069,1.5237931037766481,1.418418697199103,1.3795080692934163,1.443919225527318,1.3643994066161595,1.3728055623340276,1.3100731344342926,1.3289917140248024,1.322483871415867,1.196582450265078,1.2357125719873159,1.19430495711753,1.1832006286304997,1.0996058930040038,1.1394955550895345,1.1887651124230059,1.1434677008566034,1.0977521215205857,1.1978297992685927,1.2513400234427008,1.1626237471243834,1.1021652327050093,1.1180381666271033,1.2617126319049987,1.2550311880304814,1.1465225990509456,1.1124023443777162,1.0856179274687718,1.2024358672976656,1.098978399696868,1.0786534511357093,1.0971229096119623,1.0371851936960645,1.0046606911896034,1.041425716181945,1.0064926307044875,1.034002840906704,1.0884374772032317,1.2792184363265737,1.706723694101473,1.0360432395782035,1.156052626277379,1.3841527826457463,1.105568141533459,1.071709957732541,1.3026198967774472,2.0994640727096314,4.01557989706322,6.1079894892461954,7.320313008509805],[0.5756112775565981,0.5089111741262539,0.6413804377687753,0.6917412047926993,0.6324221277614092,0.5907252123145686,0.5528855415296003,0.6530667476101996,0.5961801253189145,0.6335979186570448,0.6971732349802315,0.7703383760620557,0.7364991266122347,0.7457011898755972,0.9216240516275143,0.8663690736750813,0.8156080565756537,0.9017177445501535,0.9245734997957548,0.9020960585504337,1.0113647397055663,0.9849364375847587,1.0108908927189098,1.1052619981088603,0.8987594960966062,0.9043325595646983,0.8587451733784696,0.8054156064366551,0.8405600048452205,0.8575702740228549,0.930399595146653,0.8789917295116603,0.984522838701351,0.9755896263027464,0.9325373765961693,0.9057523206530891,0.9036791673205463,0.9071221557502231,0.8674893606179371,0.9002033570836441,1.147966833178364,0.9082635720541689,0.9949372675245132,0.939139278055745,1.0726359137385844,1.537930227461826,1.3797515472888175,1.361129613367807,1.5347508842762407,1.3314880544522185,1.1627958733817327,1.0953882771659447,1.0349017479246128,0.9495324560785715,1.8195780118489475,1.347519911214356,1.1609918632453666,1.2841573711098513,1.4160259016189856,1.213778462787406,1.125365897229521,1.1347344002478466,1.0684137391517619,1.2127140465137953,1.0325928489902965,1.0251702136783967,1.2069329244567388,1.0235121561246028,1.0858425006169716,1.0361618999742668,1.3006162468438685,1.7135285051334892,1.208680194933239,1.2216096880037584,1.0599734508396494,1.3969456682239325,1.0297883280041422,1.0622955182504692,1.0005716121744406,1.0267745085615279,1.0317726212438987,1.063769253210651,1.488201597715157,1.1560380125665766,0.8440480787619933,0.9114820274688777,0.9327175739902591,1.0026415627781937,0.9284110532837605,1.0255128408363607,1.0171547468803177,1.0918904694125586,1.0722908631752024,0.9967532527158521,0.950175538959537,1.051424198764138,1.0339883274346846,0.9037795787745897,0.876115643444656,1.1034181565593713,0.9066539950645891,0.9742698952613574,0.8708346914274131,0.9303623946060436,0.9040496807122428,0.8609373259386689,1.053859747811494,0.7685138626577404,0.7691452852707564,0.9837732748354939,0.7090171900583329,0.6940753225645867,0.6416830138553992,0.7117101055052982,0.7444172355199371,0.74734123629328,0.7545252647035846,0.7664238083334659,0.8641311432206276,0.82199040060664,0.8239652466542038,0.7548363641175206,0.712070873445913,0.6892266392526228,0.6245825698037234,0.6579851048447934,0.6623272008468811,0.6639390915319597,0.6763561434898206,0.7405988300654714,0.6995314417468208,0.7498353252681268,0.7212998201180254,0.827142479761634,0.7376326120549124,0.7374796866077904,0.844265768268475,0.7132457263735082,0.7533751656328422,0.7717026942019288,0.7881258058113213,0.8324018025168178,0.8183046792101119,0.7709213000717815,0.7622289548315921,0.7937257007895412,0.7530186856628553,0.7758514052889242,0.7570291356370034,0.715789753222144,0.7642055747783136,0.7771429328378422,1.3323814660031565,1.6864324420539472,1.2197542176679237,0.973442574002239,0.8488169740547531,0.8642979795126895,0.8341353379881753,0.8769002640775656,0.766375357350527,0.8100169163765707,0.760450455906188,0.7942649856293419,0.7575013931222689,0.8054227793534143,0.7791072973958383,0.8525896342358817,0.8776057492831454,0.8883643115475677,0.796087563989736,0.7605154756817951,0.7437073071856287,0.7897140264320368,0.8430067575706859,0.8790148640013835,0.8721103458965704,1.1716393142081911,0.9353970094961757,0.9541426963236042,0.9336081347122493,0.7975001754232305,0.8065962979510928,0.7755112396654684,0.7517104893260647,0.8204282760908994,0.8751889528798673,1.0377710842759973,1.1598751332665624,0.8219948280230415,1.0718748450040245,0.944083260961004,0.8404032922006747,0.96099199348179,0.7320675008719405,0.7475849429141658,0.718873447788895,0.7457255738619571,0.7149704145460933,0.745167972191019,0.7604752476482577,0.8173378054121953,0.7314102581829417,0.6926631147956572,0.7954494416107862,0.7573917412968244,0.6778150213510546,0.7037455906541281,0.8310071638072627,0.7181362901105197,0.7452439550458331,0.8268691955592004,0.8376229562255648,0.8759889394539223,0.8551239673893251,0.7888275749156689,1.044141734266708,0.7948051868650229,0.754121243220135,0.8439397637391434,0.8953807123113325,2.2633968858220515,1.1964260348585742,1.8159488752448387,0.9982697633314491,1.056766449100377,1.1000019995628976,1.2356678085262647,0.9634807089852437,0.8565914496981846,1.0061831502772538,1.0107761850203991,0.972642827634372,0.852273790915026,1.1825339148260698,0.7614320021564568,0.8392442476641488,1.054937272806585,0.7752554856990743,0.846305402689254,1.0179662139963463,1.0524962553844113,1.232596876681642,1.292743691721163,1.3119913650485497,1.1198895001033742,1.1295607651461,1.380697686712122,1.1375261118916375,1.0230413598846622,1.189185136672795,1.1735708649821324,0.9293545076755204,1.058918009113011,1.1956519403509878,1.0380206610072955,0.9916858063408772,1.080631512943887,0.9843752554205049,1.0248050160969817,0.9883846524755284,1.000874746795097,0.9643617437517255,0.8218733736030918,0.9124044952150476,0.8210585478369272,0.8027283561981735,0.7358783141221282,0.7793479834029069,0.8325000649452238,0.8042746395544877,0.7408539651967725,0.8506631347914066,0.9487064212491093,0.8227035762721692,0.7667469839346153,0.811244355924659,1.0622553740078537,0.9266217720888887,0.815629447931656,0.7270566714657979,0.700111978689282,0.928898024872709,0.7886190751190869,0.7782784281294007,0.7948892048316307,0.7040955431384659,0.6800477902307444,0.7034593026640229,0.6900728040755844,0.713392737064373,0.7742260879139121,0.9915450691840861,1.5760732945341869,0.7091199979732963,0.8114642688633854,1.0832743913323488,0.8175664053448713,0.7263775122940257,0.9558540358468726,1.7377173315924483,3.8913379904988945,5.858946780954154,6.917929737747395],[0.7358189825629219,0.6747411791373435,0.7868209030869416,0.7806878673553883,0.7018777511195815,0.6832457578008067,0.6274354552739471,0.7492303769526819,0.641217275083787,0.6270183108033051,0.6891175951318971,0.8128888714640967,0.7598476594212386,0.6917936436993563,0.8896432523411363,0.8903829043497596,0.7954795489022454,0.8805043571660385,0.8826306509510476,0.8901129478366813,0.9896494332374565,0.9840217732576703,1.004181849441481,1.0865923330973297,0.8672011969981718,0.8591230248981264,0.819277608943129,0.77359618159953,0.8395304578261581,0.900178446168842,0.9749033506370884,0.9683835771386281,1.0915382372716727,1.0869461181557567,1.0223898703139982,0.9553268511778593,0.9772299988769237,0.932070519386018,0.8795695446262732,0.935784271162688,1.0938329286773913,0.9037161323914361,0.9939646583399775,0.9491972178382168,1.048027362881412,1.5477833595215358,1.3923423697891408,1.3124330441418306,1.5520815403857129,1.4029211180163825,1.2356044879058607,1.1522340956752544,1.063754455757706,0.980109492071553,1.8497123524890775,1.370157560526784,1.1754941253374678,1.305271152795404,1.4498647028985625,1.2395704266216108,1.1682083022745156,1.1914618577644687,1.1362351099064951,1.2535881976971728,1.0612650281311526,1.0529175065441647,1.1885591041580503,1.0267580091725033,1.041685550610371,1.0011698271410892,1.2274102837914225,1.6604261204591169,1.2029087541277417,1.2312635829862804,1.083075343873032,1.4307132488627912,1.0844401964566885,1.160615328050006,1.089501355894054,1.1127523014754146,1.1232922689821936,1.1433803062259893,1.5075811975284532,1.198363996109247,0.899307901605413,0.9683086975388091,0.9785233402577955,1.0963015533657867,0.9891939388241259,1.1197142869862147,1.089881746911437,1.1720190861726176,1.1490872709218831,1.0902683199840055,1.0150652872530004,1.1076167911295032,1.0495790333148298,1.0039195455556502,0.9770120285080411,1.1715839722311794,1.0111890109422141,1.0919449115789677,0.9735531667745275,0.987738293625565,0.9777745642673468,0.9202917617125823,1.1322047185573785,0.8751931110673358,0.8969019982275738,1.081003618067799,0.8300953365884826,0.7752489814681561,0.6989037821691384,0.7371538549521127,0.7180948323283293,0.6966904274076309,0.7011508398866111,0.701199841502701,0.7947292527669103,0.7829739487851342,0.7389999975488674,0.6848585208959608,0.6309431029195021,0.641459964216045,0.621169238017084,0.6721463833751931,0.7398403995372694,0.7565398597251324,0.7680705290811803,0.8310530462530513,0.7908936061155201,0.829729514797386,0.7953031564249549,0.8863039724943336,0.8062959147222899,0.7861123921434536,0.886773909293633,0.7145757013427277,0.695812686053017,0.7440614840802429,0.7397341144737923,0.7870628705076512,0.7676280693759289,0.7422093022833577,0.7591698602221617,0.8016367290256329,0.7439665872907926,0.806321593475818,0.8038157500629332,0.7662660290132601,0.8400949394305254,0.8506004280618845,1.3764503088907774,1.6871038984092628,1.2445504212445186,1.0627445281638404,0.9257055015273117,0.9335540429177531,0.8970824089048552,0.9040637314227765,0.808867391677926,0.8450489538936502,0.7682580011205683,0.8119127465343546,0.8228568154289184,0.8172322156274625,0.8172097235503251,0.8627550061300706,0.9041460745731049,0.8919589167833785,0.8206624928262479,0.7823663130008182,0.7865561277110518,0.8208660949053398,0.8786008517020691,0.9354272331790654,0.9432992382015007,1.2250440301333054,0.992758425072576,1.0268078875690485,0.9659389056331772,0.8775079387671956,0.8757736066933086,0.839544809874646,0.8081674090253592,0.8691475102327497,0.8903431232606491,1.1047806193687364,1.1643198958367356,0.8865768719552582,1.050812503012686,1.027656792378373,0.9060275120100995,0.9651072721393337,0.8169226929672565,0.8007984795912101,0.8066921792599804,0.8373870500182932,0.835904508036266,0.8295631080674679,0.9023926151168643,0.9571194903259754,0.8642384526159647,0.8372677151149213,0.9288325129117891,0.8947675072882019,0.8426107952114394,0.8663042917599093,0.9734592764048633,0.8720025777113228,0.8994887695982765,0.9745319009933059,0.9702406993563405,1.0481907786126574,1.0353152583213847,0.9661909544699969,1.1713606865384147,0.9597166745320808,0.931224556489159,1.0319062579154654,1.0731156053752293,2.42042992518824,1.3135186932446579,1.7959221404015928,1.1013200933695357,1.1718435916947454,1.2142988820736234,1.3201756507841398,1.104868824802467,1.0110111380043096,1.134720076090204,1.1139715012243256,1.0797261600757384,0.960788912349319,1.2519188382491575,0.8884870500574342,0.9327073328571828,1.1318491609183308,0.921654756013309,0.9685052535423717,1.1300335451018337,1.1829174800127025,1.327348529687111,1.4227529315331382,1.3946470694991449,1.2506227595700294,1.2493859477727243,1.466630802267372,1.2577672609303474,1.1264699097484583,1.2546877332528257,1.244704260601847,1.0658082214262479,1.1561900427906184,1.2667479600686484,1.126953326497758,1.105554323982906,1.176101116329305,1.0883763951214036,1.1334469751608651,1.1008468368603699,1.1060504753536227,1.0944282729009671,0.9636118036720817,1.0395979676763987,0.9676557121555976,0.9563875099142385,0.86664802544132,0.9331451014675163,0.9705820439325323,0.89360893779837,0.8260532946954513,0.9519006405190237,1.0138923822693175,0.9000757584714467,0.8653032163733162,0.9424412781779877,1.1312666280728998,1.0357514170113844,0.9445221481275541,0.8823927839020432,0.8597875586016617,1.0230833030650113,0.9222694544735267,0.9040812655386332,0.8853732969297131,0.8431859623430271,0.8038341445227711,0.8211377154579113,0.8127326777370633,0.8534175558716977,0.8874262671025613,1.0564296822834456,1.695305756331354,0.8576306293740131,0.9296549960980189,1.1323495090689923,0.9463840473321365,0.8529454385398565,1.095002015552825,1.5695251124264815,3.598576456662343,5.54685628272359,6.489978258724759],[0.5360798730979274,0.4513605093250723,0.5378946163408203,0.5997534187018896,0.4987255837439248,0.46261824374670557,0.38936852941536565,0.4991233395615101,0.43825876566919536,0.44662999375572393,0.5137070506951595,0.6128725789581999,0.5477311948331162,0.5308259905093311,0.7052272802018041,0.6643061631504452,0.6149742593820318,0.6971315156492967,0.7221725233013665,0.697344206326887,0.8591340843299579,0.8023299764506103,0.9043942852160517,1.0259571786770463,0.7081686343423672,0.7097652598594661,0.670041325369488,0.6040176245794716,0.6413860500719168,0.6509183245683248,0.7585527529906544,0.707411452060063,0.8504598129257481,0.8305435887759469,0.7621312186726937,0.7173472311703192,0.703718468974129,0.6981684124561033,0.6603572597547743,0.6979972576404588,0.9689087842652113,0.6960318087876924,0.7926883359291981,0.7190579488881135,0.9363111349382292,1.5033724425370982,1.3634315938866854,1.1723328327121383,1.3670186619120557,1.3117200823024893,1.034180226931065,0.9611216843156156,0.8268043016770232,0.7345611823044957,1.6551609527142968,1.1070494981330263,0.9628367779561191,1.0886269542639064,1.217488605742728,1.0328533873323027,0.9421113080617327,0.9569707805659121,0.8968185946179037,1.0319430055334786,0.8421555781683939,0.8601290255028797,1.0451879164759084,0.8228151094100158,0.8985147913449052,0.8519987474143991,1.1161557439066643,1.4985812516853922,1.0440807044924856,1.0899414404270638,0.9040306150189307,1.3154146801993143,0.8686605644660711,0.9110804899066623,0.8425017512900537,0.8500895295458477,0.8442269109866735,0.8766772440070679,1.3441841542562316,0.923575883217407,0.6783724985252209,0.7059310628165785,0.7335332979285722,0.8190388917382755,0.7523553420413388,0.8944314691618708,0.8465901351951899,1.0058815369330723,0.928529707449629,0.8553584520978671,0.7739500013279205,0.8572697135077163,0.8566983256564773,0.7527955180987139,0.7119099106211633,0.995008811565867,0.745430026909788,0.818274855155164,0.6969829905905202,0.7504925725524626,0.7157426990619536,0.669107626887774,0.8885906262214891,0.5605565743541011,0.5817680465782412,0.8434918255536605,0.530617932605408,0.5010257494247063,0.4637042761544222,0.5509220278121242,0.5564857590489855,0.5415283287355654,0.5673875594271197,0.5676715390093203,0.6759997370604682,0.6447317445002195,0.6250519099701141,0.5762730473075148,0.5464728623402529,0.5234699785247504,0.47267201732738245,0.4747772718835651,0.5090131156022761,0.49016828839121646,0.49044024789643104,0.5538357433838512,0.5210475853893896,0.5671260724513393,0.5352328004356903,0.6567861688739666,0.5689002128865438,0.5710944468598335,0.7070803203739443,0.5485024104608749,0.5719464353143903,0.5863643876918639,0.6417887207703811,0.6747410931167458,0.6345867706603121,0.569830688374753,0.5472030242012014,0.5924170192105764,0.5435155755085661,0.5866878081922965,0.5856731477362708,0.555914643896005,0.607998101287487,0.6415320503484463,1.2381335677227323,1.664245388876629,1.2228616187893833,0.8261292174001039,0.6804470099700866,0.6873864339665884,0.6494873245858749,0.6874437407012974,0.5980717827932233,0.6129267141850664,0.5662546912418002,0.5835702985621165,0.5936855597941508,0.6714137798508378,0.6326406594892999,0.7355566552407076,0.7740552296762595,0.7817266976493163,0.6243990607093612,0.5761119579485395,0.546548738284005,0.5950633708098032,0.6317975261988122,0.6720269028959758,0.6745373208616907,0.9891391662952136,0.7226397144479069,0.7644355811255364,0.7641402818539541,0.5970596201165587,0.5992565208167829,0.5649885651225004,0.5736690185434714,0.6196934765289484,0.6965422942063988,0.8309799720103501,1.122292901613898,0.7152444900889866,0.9802854916186652,0.9008916869228017,0.7388982420258057,0.8562493717639847,0.5790785710357146,0.5753592382466206,0.5691819096165963,0.5638741177706619,0.5529697837639382,0.5989932782274413,0.5961460336027776,0.6643683815133583,0.5805182970932162,0.5583636484814006,0.6441283468093274,0.6220370709490548,0.583210981683515,0.6034037596895585,0.7165964962240653,0.6335473775206715,0.6943477656652627,0.7579172581698184,0.7621296034776548,0.8356945804462828,0.8492731737061604,0.7865819432354041,1.029995241699992,0.7838939915268615,0.6994698265560071,0.7880733611406584,0.8357137235713425,2.151034194236663,1.1554239202049303,1.7101387836005562,0.8593398701826098,0.8965707518567967,0.9351857644290786,1.0376794349019103,0.8177144866046322,0.7072858831308592,0.8387428438184849,0.8140438050070166,0.8494171666729708,0.6797442046915326,0.9947647929250581,0.63949951682741,0.7072849297652403,0.9815643611362662,0.6359282408486008,0.6752193354545235,0.8376360630678144,0.880930507157066,1.0676447475990583,1.1385645130781539,1.1386685880903669,0.9649960028191188,0.953722152429797,1.2046919103522487,0.998074256136969,0.8644904652027999,1.0488039580393895,1.0635140367096694,0.8161229788654588,0.935773199385105,1.0976864296857047,0.9493636917685497,0.9006807220368173,0.9746347114591605,0.8791221773000744,0.8837613383538864,0.8497639107920126,0.8476267876240157,0.8330505071153717,0.7116347906464351,0.7785576689942982,0.7032073070664729,0.710573442534129,0.6259990031988412,0.6645984140457902,0.7465010983976255,0.7265156679143158,0.651893225414203,0.7285799151901396,0.9313667174731892,0.791600287075578,0.7551935589233659,0.8206424229935048,1.0880470259545882,0.9520714513615606,0.8247197005464835,0.6973227244047019,0.6658946674056985,0.9240385068350637,0.8043852446057655,0.8006578735530118,0.7309692807177328,0.6471926547738147,0.5723114767142926,0.5507761791541606,0.580691559317773,0.5830528539127265,0.6076508786314108,0.8495842481757692,1.5983750511810544,0.5670047560248397,0.7002218596487861,0.9691481410612163,0.7988840857072985,0.6477751785701431,0.8936301341194292,1.451213463288243,3.6221721968171323,5.365245123554439,6.1520737421162535],[0.7427621950051383,0.6441061933044312,0.6893177310963429,0.7066746766038383,0.6749891074541369,0.6901172263418212,0.6893703808000278,0.8665468598790999,0.7604134728763877,0.7526808723054178,0.8334692807913923,0.9970615773749179,0.9025152765838974,0.8249708252777346,1.0194135114529725,1.038729163281895,0.9351536228872191,1.0275887910666188,1.0088166049015064,1.0334760811539705,1.1675956075000227,1.1510154899248408,1.2541052079692872,1.2916707186188043,1.0388159761410427,1.0054867937886574,0.957402377597966,0.9092056892898412,0.9921028952490082,1.0555340636300055,1.151400822315482,1.1641769881998676,1.333298483088865,1.3154647181266579,1.2229421678450545,1.137533962919624,1.129014143694942,1.0613376071334595,1.0051258562914567,1.0753079178874463,1.1698289847742083,1.0672148076123944,1.132464287200246,1.052909394269177,1.2678628371175686,1.6490541039467101,1.575036575968462,1.4738327367001833,1.473826217094779,1.4361784197047651,1.291982929267897,1.1844740329216108,1.1949852853838996,1.1176571416707235,1.8853727799094027,1.4285159424658331,1.2854179442615423,1.4334912923758263,1.579073012027925,1.3584014007753484,1.2767042938632769,1.345813880563473,1.336860913932113,1.3527942690791037,1.2346953571272885,1.2306620462641489,1.3536391320056333,1.1897060526109704,1.179202902667394,1.144116859357402,1.2799017456170034,1.630104937119667,1.325024411718936,1.3958994447454285,1.2488518185051307,1.6067978276977823,1.2896594558650802,1.3561949309641403,1.2979682570400082,1.302300375604832,1.2754545145160268,1.2432395918228163,1.7005284992002763,1.3086682534417833,1.0097123758037259,1.0963831608239127,1.1278053916173973,1.2722592675850275,1.1820685843992358,1.3637182863872757,1.28504005398369,1.3704742262903375,1.3322163684415558,1.2905745523110845,1.18323380837192,1.2464045463847515,1.1993957767175638,1.200463345811247,1.172136757070402,1.4051713708136124,1.2353712698693384,1.3362162838953755,1.1731436005295677,1.194564797231671,1.149126728798228,1.0902337157546442,1.2657208413355499,0.9645494765891702,0.9295084467985641,1.2002800855805904,0.8868114107264116,0.8594206473329528,0.8024438796407507,0.8164814754516996,0.8363726485722456,0.7847980698176297,0.8283554789377316,0.8126101695966327,0.9310123244062887,0.9247534344195394,0.856081091657348,0.8243954076026682,0.7536034581820088,0.7020141300505924,0.6938009832683554,0.7038727718464817,0.7646476710937722,0.8001177248687678,0.8326815038910674,0.9061080029224158,0.8014819168839783,0.908843377738131,0.8597246485362148,0.9858770450806821,0.8621502099578234,0.8344570928519601,0.877887152990159,0.7426040743272597,0.7425387825911992,0.8187024760582224,0.8340974744686818,0.9007004584078044,0.8941011186936966,0.8445566931303461,0.8680586109616757,0.9343532908068332,0.8676714047361698,0.9369094743770257,0.934706956116332,0.9172702754467515,1.00458565232121,1.0414247685224927,1.5101921305977453,1.8388239899619547,1.5196919046342139,1.2705500492990955,1.1134766796489335,1.1283084117997193,1.0834889293066874,1.0507241316478761,0.9377333463985158,0.9704627772181951,0.8685350340472809,0.9099907417626885,0.8400637284301388,0.8989294555216902,0.8707340642661509,0.9263685141164648,0.9340793969608332,0.9417944971939476,0.8589578949850685,0.8274926011772369,0.8643367257060951,0.9291918367604252,1.0150638712114566,1.1057226204209385,1.1108217828987843,1.4250873913952133,1.1232251529514234,1.1953165075896441,1.1286102030052971,0.9920487595713643,0.9872279451408712,0.9372645689387602,0.9113847264530484,0.9858334115336576,1.0154238921404313,1.1815927436115994,1.2181609242349045,0.9105238355553311,1.28629999710778,0.9742335305191332,0.8983356284449294,0.98961371870376,0.8247505392946674,0.8275040214483971,0.7983271786882626,0.8230985579238523,0.7762482362995987,0.8654038423653216,0.8491164490865983,0.9374652488753389,0.8368327121853134,0.7832631000190424,0.8778033736644467,0.8574953134683325,0.7576924716000973,0.7999580783634851,0.9354404569090148,0.8095754263166837,0.8423557305383573,0.93144026786955,0.9342788850594483,0.966296902619366,0.9928673297256769,0.9083083254132275,1.1699325077736296,0.8994094224395602,0.8517828462451925,0.9613460743383786,1.0059750870602806,2.1144722917330636,1.3029666806028568,1.8743578295388965,1.0874798902267913,1.1484143979750863,1.1820951211496955,1.2534429713326631,1.0386860234865753,0.9080416810438781,1.037300563542367,0.9886199215174946,0.9620897844732132,0.8586322482077814,1.101334343576325,0.8777382458015771,0.9485255684556032,1.2334009456631356,0.8950475359177936,0.972334889579475,1.0842146492627527,1.0956803456513715,1.2952567144221099,1.42069967663306,1.395473031830108,1.189460043039604,1.1957304662157495,1.4295582296097786,1.2275253598791604,1.093867167854213,1.2561115319466885,1.2626847612865018,1.0456596459621785,1.1439135418515665,1.2897346767138977,1.1276739294264861,1.0986995491421134,1.1908958624266084,1.077548124406719,1.112652864629252,1.0650106976035383,1.0765874441920407,1.0496048005152088,0.920702509592015,0.942189648568689,0.9132569666838906,0.8978769257521604,0.8277776875842607,0.8906929807324883,0.8986028333553694,0.869732056195897,0.8416946446659115,0.8532897625555089,1.0615264925479344,0.9281037169176435,0.8974329447185658,0.9565357019269084,1.1589434316354406,1.1217432924447983,0.918216753011187,0.8270901853253003,0.7852714346038742,0.994186293538984,0.8845279406573126,0.8866642041890715,0.8405477462670866,0.7864719441117229,0.7431665203420684,0.75498841538858,0.7929793965897435,0.7982649590510458,0.92809281151302,1.182566959749291,1.8387416789676445,0.874144297838987,0.9656209430950675,1.2502091927287406,1.1250580190269521,0.8192107331663468,1.0328366758038603,1.3456933272717457,3.3142025153526817,5.106664870381611,5.9510227620477245],[0.5624736969307951,0.4516426574118316,0.4842831550561908,0.5380198041052872,0.4379957335555382,0.4144751450099026,0.3299433739958273,0.4541710756846545,0.3861084867602805,0.35442427075505256,0.4325640116046636,0.5558222460135805,0.4630991413081972,0.4489898788444401,0.6343658209493322,0.605619421325734,0.545965237521507,0.6391458518536395,0.6814324516863031,0.6456347090856428,0.8315849073334823,0.7789085778663803,0.9104054270341482,1.01684383735816,0.671932316229864,0.6618734827852402,0.595229856666118,0.5175396003451055,0.5683110400226755,0.5944096168525966,0.7388890218429475,0.6775187384596241,0.8481584559832949,0.8325971126848806,0.7376544384410758,0.6803519530941052,0.6532010324197569,0.6356373040925052,0.5852782958173596,0.6191917723736492,0.8780326713719101,0.6428558449689341,0.7215599360839856,0.671604036831184,0.950806866003559,1.5429434180909556,1.4609360057131529,1.1112619546780544,1.2996299992168165,1.3597168304163527,1.023284927682819,0.9231513450631701,0.7487590480480328,0.6619041118309162,1.5864847168561511,1.0138125755449,0.8957671040522136,1.0266191691755189,1.1571301281401096,0.988171884323915,0.8965122560369495,0.9213651343200534,0.8792792175108594,1.0264847276318876,0.8370043871431412,0.8416474856560102,1.0429506387495624,0.8046365143268998,0.8707407169210786,0.8321150892503574,1.0401921752528387,1.399972507357392,1.0298634984275297,1.1174969714076504,0.8915802270678546,1.3261267018589118,0.8598912524628357,0.9091263423307303,0.8162170377016732,0.8182529555364592,0.8159425291837289,0.845495255391088,1.2931561434892143,0.8297208738266401,0.6225836436417999,0.641548391354829,0.6859312552814404,0.7713270086705903,0.7204240955332892,0.8855070330309547,0.8401754129413728,1.0478869183938149,0.9433575819372206,0.8647912744106108,0.7601830307172025,0.8499700028430451,0.8039049438793966,0.7372053355770453,0.6815155658354535,0.9444161057596768,0.7045950009947632,0.7753104211668401,0.632160750531022,0.6830804494669962,0.6537203902614181,0.6117292706268237,0.8757029274668411,0.49978884381929406,0.5436363117086684,0.8366391405552317,0.4921321568335573,0.423450452927533,0.38698151289499416,0.4533302618673244,0.45167985818453743,0.42683518966265555,0.4773920620929805,0.48559029002137366,0.625796313201629,0.5913570002850194,0.5482099782608724,0.4951843365032199,0.4632349817374949,0.419380904776136,0.36652759619259156,0.35739318854507074,0.4545590892906081,0.42040435144574134,0.4140039978474813,0.4797064114214115,0.43827117285985767,0.4778332185661317,0.427919108589231,0.5671385119969834,0.46359731339209315,0.46404204736330973,0.6362187525991108,0.42624740477075307,0.45318372323773687,0.4680501910689927,0.5957617687671521,0.6425749410128746,0.5680753082223323,0.47604781822265657,0.45969588226852554,0.5123059775085287,0.4415915489430576,0.4971095859203835,0.4895847353106379,0.479428035228862,0.5423723809080137,0.6058976404229571,1.2577826049647463,1.6619298936455784,1.188300932014328,0.7846975884978409,0.6160999545611102,0.6204876738901837,0.5741798394818621,0.6025777761016414,0.48251636937952164,0.5154950561276892,0.46102609640042375,0.47969226128994186,0.4932762748878608,0.5932819479818265,0.529584428953109,0.6604315004356618,0.6864182111973034,0.6873964340846294,0.5150573146474967,0.45684135892217553,0.43659903852177817,0.4679954111982157,0.5211388558131925,0.5973413064084307,0.6018687310992173,0.9454244056608622,0.6423476391766358,0.689251036600092,0.6975426407132048,0.5099999256990477,0.5051206216652775,0.45502747175649894,0.4654265378661132,0.525652125959946,0.618172901062571,0.7666506270474207,1.123209004841395,0.6932418651967306,0.941854821290898,0.8797775054513128,0.6766304899807428,0.7560678418755005,0.5015591178332671,0.4896235753204059,0.5115083824330273,0.47882501291341073,0.4874636193526769,0.5214304901972259,0.5553949178511712,0.6347964784604916,0.5307069188428762,0.5257533076753832,0.6262623363992509,0.6007543798659225,0.5773782025734298,0.6087640189785799,0.7219854829762573,0.6333192325679863,0.7045630857826073,0.7680055632686635,0.7500801299971117,0.8350669487659579,0.8864606590763903,0.834217608730427,1.0514795070850762,0.8316207146914103,0.7242834758466715,0.8286228707260539,0.884891608656207,2.104653303844981,1.1999407873804115,1.688184404619594,0.8302595681969208,0.859014828218943,0.9052120779060013,0.980563913567969,0.8005496715715005,0.6840574627928326,0.799702736182453,0.7639553003951647,0.8442019444722015,0.6319426199070415,0.9117199117741437,0.6428813509255258,0.6864128401869296,0.9931265128317172,0.596532927926593,0.6179469951304237,0.7712317385231152,0.8500404653974964,1.0295156373573884,1.1246595872967333,1.1082035830425607,0.9365773301929012,0.9335112436688295,1.1954916414932022,0.981686912761012,0.8473478781287533,1.033336630831985,1.0642373609352225,0.823519250669981,0.9361389897992043,1.0961962061598904,0.9518144295181803,0.9003617426080552,0.9886340558266884,0.889877266852184,0.8853555299848821,0.8304002472448839,0.82179651321302,0.8456147373918296,0.719576178588492,0.7636198975808101,0.7128838217344099,0.7300885850923954,0.6235266827021806,0.6966030886291277,0.7768966329083453,0.7168096618102344,0.6386947120502893,0.7104393161728273,0.929339288301039,0.7842665138524039,0.7667557300166971,0.8603307041324239,1.0957500799412854,1.038317093652643,0.8669683446760222,0.7344983369258062,0.6952304073482735,0.9460021916453748,0.8351346791678445,0.8505904146232083,0.7173719834864892,0.648936198230589,0.5333658039984392,0.4879570110133011,0.545484844134414,0.5542618847080875,0.5748468954073739,0.8090105730951446,1.599369833267716,0.5416250144227962,0.6709842054055528,0.9140618071423859,0.8433290967470611,0.5966120980169819,0.8742372257402555,1.1652514651940757,3.192435122897949,4.772247612945017,5.38713366493694],[0.5498616361329234,0.442882909736115,0.4931531895497061,0.5733527265454923,0.42993345130824184,0.4080292064065201,0.33205976496937506,0.43474096516369753,0.38146083145843496,0.3642171466468526,0.4388960950185353,0.5640281467717235,0.4812849428208281,0.45844253001066415,0.6254516472518162,0.6077028902247029,0.5712442418629601,0.6712260845670627,0.7186350391585611,0.6861327265490178,0.8885696712101734,0.8283843070993401,1.0292622594057192,1.1147619777371205,0.734243654174738,0.7241460835930854,0.6495649535818083,0.5634563511791982,0.6030487136149502,0.6005538688600471,0.7503585096452599,0.68313188360841,0.8826727751935882,0.8684817362332456,0.7573010259470064,0.6949188724475285,0.6701999171258675,0.6533779792239042,0.607365873600507,0.6349741359899762,0.8656923860341293,0.6813881533935107,0.7496565109912445,0.7195709511583841,0.9815995456229817,1.55071967164078,1.516767022685811,1.1097896562874525,1.2953328042196475,1.4149241303656976,1.0912144478287125,0.9732610085886954,0.7913536036588387,0.7109651772621915,1.5847140581849228,1.0304783671112803,0.9435443631138513,1.0608654870954213,1.171137821420221,1.0390441323169994,0.9532931909907397,0.9829088931808906,0.9405330294267719,1.1182047967629547,0.9042406770637861,0.9010992162638793,1.0867880406985795,0.8337829622702206,0.9238658935120024,0.8453410337929494,1.071540680318823,1.422353134685514,1.050394108468352,1.1816054293846614,0.9189624636205208,1.3740744522581754,0.90743256793976,0.9450220857639947,0.8588318484149039,0.8632109822858256,0.8238283421728223,0.8600574238183161,1.2926850707365198,0.8192458279270923,0.6620405843055956,0.654537885819007,0.7052113321448238,0.806399163761844,0.7480293882035697,0.9255534043641588,0.8695233856566267,1.092265219214599,0.9732488612114254,0.8935146190921872,0.7675167282319266,0.8502051272257692,0.7890376234160627,0.7408896917833432,0.6827125986220053,0.9810587029540138,0.7119905973368177,0.7737068998398849,0.6340174129797703,0.6888742564722417,0.6455649504574891,0.5927341483496359,0.805452655536459,0.46768282023888375,0.5041808436800941,0.799588913974836,0.45538920511491604,0.4071833478694142,0.36910994699334365,0.4315247648598688,0.46978020678934856,0.4672540435314195,0.520478142102184,0.552625789592479,0.7149001983114144,0.6406314832657463,0.6118820864046803,0.5417387194855258,0.5237482156278962,0.45215125574398485,0.3717992553573918,0.361336909864142,0.45505586142958904,0.4169658108708923,0.3966283081789913,0.46972227825256474,0.42097618731345293,0.44995722404119715,0.434968131553738,0.5606067929628507,0.48961820872367884,0.49501873000778807,0.6140850348052871,0.44207114347221554,0.47466675319395124,0.481925718080224,0.6458286739473866,0.7293418000632738,0.6172463021475465,0.5198885651347183,0.50261752560535,0.5439792209257708,0.4694808837314392,0.521006875364827,0.4952221392612134,0.4798018008738012,0.5371005606511273,0.6005962248632943,1.2301318185457255,1.7268918241601672,1.2599021759580518,0.8017631825822528,0.6155834872388537,0.6246984880922621,0.5790591057738608,0.5898308304652674,0.5026162612450872,0.5363013182844087,0.4881557926436814,0.5117467670077287,0.5388101532899388,0.6219648343524377,0.5412575831377027,0.6552738788146636,0.6728964970993685,0.6644144898964206,0.5055358776920637,0.4668518424747532,0.46041871289082625,0.4941711200619309,0.5374816382773822,0.5983221645980613,0.6050123377511919,0.937799046818674,0.657582342334789,0.6885550125198415,0.6916090082138484,0.516913680450931,0.5144075488679278,0.4777372859869602,0.49255597444747357,0.5527217726945559,0.6506621882086283,0.7939372080502142,1.164371876830155,0.7485962554808916,0.9504016770659298,0.971293630694019,0.752996807741102,0.8057902907362022,0.5186597911752084,0.4700996940303328,0.4835246252922651,0.44440357157338944,0.46614665239985587,0.4900836742152019,0.5120052747249567,0.5929964196075355,0.4947659879013482,0.5033421491658505,0.5927500053858972,0.5722445460116392,0.5927714943928039,0.5987801733244611,0.698574360049883,0.6213552956525041,0.6959585475154395,0.7536550718975473,0.7338345367660327,0.8273309630280818,0.8771209085242686,0.8394566841605003,1.0254726758077168,0.8333607298155619,0.716839854218035,0.8154753502932354,0.8722770476690027,2.0955720331616847,1.1744155980229651,1.6495045140566111,0.7904012810056007,0.8057109366436519,0.8620216094658429,0.9419088261829736,0.7411895102903286,0.6374725626114233,0.7632451187904717,0.7292825878771028,0.8189187032545706,0.6063339097586926,0.9123642742942816,0.6175154063456837,0.647455399384831,1.0017382841557165,0.5595723446053431,0.5746797128953407,0.7351740448553375,0.8156300926706972,0.9969192708746604,1.080664439105322,1.068195293253345,0.8988653578399349,0.8897176613082811,1.1580458430886267,0.9442410447861793,0.8147365389969355,1.009703936882151,1.0460738179347446,0.806556584347283,0.9127288315368104,1.076189661648334,0.9370737907156862,0.8803973528540741,0.9632443612609703,0.8635396841014438,0.8493369246827049,0.7925792262135973,0.7823823149778062,0.8106243631715484,0.6905883036449559,0.733954768059601,0.6763349230953237,0.700635642126539,0.5908121615212486,0.651300308450836,0.7614705319907726,0.7099488133102971,0.6130329205196937,0.6929180866782587,0.9258626137748744,0.7884997060587615,0.759286060960522,0.8809871856083511,1.141604433133824,1.060438983126943,0.8851339668876942,0.7416921067515266,0.7017058564332309,0.9526709536650851,0.8597606288316195,0.8840288886811533,0.7297760921505855,0.6502717977028044,0.5201545558147744,0.4523614440433506,0.5233829785241629,0.5217910488978401,0.5403156507619241,0.7630328182952316,1.5880902394452676,0.5133505772535455,0.6471776483418885,0.890269429725576,0.7993771835249657,0.6011245064230425,0.8520979825620452,1.14979459882009,3.2169143511032496,4.730698761549318,5.298056601492533],[0.6119736779596331,0.49291647779947034,0.5161787578638862,0.5904561666230816,0.4564906342372029,0.44612071578503926,0.3590655339495268,0.4370888025954948,0.37841947775641527,0.3376460588348037,0.39369032405164933,0.522811678292587,0.4216328505560671,0.41883035390592754,0.5712051010021774,0.5454039757181635,0.5141564172445897,0.597768609908425,0.6661093989947066,0.614051391572424,0.7954635799365674,0.7486708263048876,0.9107499849266744,1.034381891722671,0.7287553113473157,0.6959702743681537,0.5885149479356443,0.5037371332662062,0.5357956172163861,0.534371730010137,0.6719751965414877,0.6015436968626041,0.7920515713533011,0.7674944461426719,0.6566699991687113,0.6072685463518239,0.580296062895945,0.5797377894187611,0.5377326883665692,0.5646599936503575,0.783714637261062,0.6310407270840424,0.6738778702339653,0.6929917904595505,0.9466187582062995,1.5532378316184474,1.5517767884538964,1.0574256117991698,1.2590601966440633,1.4699184652324293,1.1038562031458767,0.9443919725685984,0.7493508156357587,0.6573542585223715,1.4891519877516006,0.8905048544285119,0.8334539427953265,0.9525567232775373,1.0680163937258924,0.9706611141353754,0.8710728400080047,0.8993494832416288,0.8563096633075826,1.0336850806868616,0.8165588610984957,0.819801278325042,1.0127314880580907,0.7486154193514526,0.8574326918780798,0.7892685231150147,0.994365393543963,1.3298871731088535,0.9817266362398339,1.104768363786073,0.8476887258259604,1.3091271689358945,0.8059205067664355,0.8310884234267311,0.75254074008159,0.7567909066663269,0.7344816554168092,0.7810561944531993,1.2046602153894967,0.6908772395999877,0.6195440018672379,0.5694710154230793,0.6295542380272224,0.706832687219813,0.6533443635147199,0.8274759199806039,0.7774148929033957,1.0088461473797494,0.880718625433732,0.7989180266896089,0.6914803622714558,0.7782404849060579,0.7253571319271593,0.6721698518790404,0.6257944793980059,0.9366048898397678,0.6524387728162387,0.7311268045459136,0.5615714674734978,0.6253905439037388,0.5990291171221723,0.5606269046398914,0.8323896942869048,0.4694765563209377,0.5246206099648344,0.8240592400178196,0.4837396807855874,0.3783914428933345,0.3553782299667683,0.4014733293628569,0.43205895083003737,0.4351166732473508,0.4786026490528389,0.5149043436776842,0.6563251198083502,0.5905920260380213,0.5717996703215096,0.5051968861835511,0.5126879740678156,0.4438115558598361,0.38169125940575643,0.3640575336053647,0.47452351549605665,0.4331752711483305,0.41580619664648694,0.4662930107303565,0.4428622388421192,0.4694431255111778,0.435750885862957,0.531994633433032,0.4832067010498995,0.4935774472263056,0.625868313650997,0.44465469828063914,0.45093357586718785,0.47058683115303007,0.6258574138122963,0.6985218598646205,0.5748702971052194,0.4819138139495575,0.4437046407306113,0.4841007442953944,0.41706780197342525,0.46696135271153594,0.4399813146931769,0.4539535232383889,0.5269612855862417,0.5902143598541877,1.2011867439652562,1.7337780435528438,1.27550128243597,0.7496255832950343,0.559492666410065,0.5649997710105108,0.5033254383062247,0.5230963742722059,0.4493538939511354,0.46224231650649106,0.4387855407078587,0.4446788440188505,0.5024063491348605,0.6170265164536578,0.5337634669299052,0.6800263950144568,0.7088547127360598,0.6903268343270881,0.512398484319067,0.4639667149853266,0.43240845181071297,0.43664552190019923,0.4528633823126293,0.5275041475468185,0.5293627113285073,0.8564460888451727,0.5674426545467212,0.604923486960063,0.6455846258716281,0.4538099084503908,0.45361164452553365,0.4365237633629273,0.46908519986440667,0.518311856718661,0.5914816128371496,0.7554229041361945,1.1630819408818622,0.7439579097237033,0.9829613110610738,0.9361666396532518,0.7352478013335912,0.7707847379130928,0.5196289424173935,0.4888453717406699,0.5199059443011104,0.4827228154921679,0.5104999869602476,0.5250999488294998,0.549592855044477,0.608868791002091,0.5208841977471661,0.5469162349431156,0.6206777990671584,0.5979691858925863,0.6404720852853104,0.6376898073984092,0.719549129943352,0.6509978301984821,0.7244728870612371,0.7774658249111113,0.7458292616098855,0.8411041058515896,0.8981095246561803,0.8733055261060269,1.035053792646247,0.8647387759673136,0.7670233622354382,0.8495148067198818,0.9218279636549931,2.0787089258329905,1.2113610067424398,1.6083099208424247,0.7962102501609636,0.7960812004151785,0.8461593701661252,0.9147436357944678,0.764739241298374,0.6548536569454543,0.7556204026164395,0.7253186700733856,0.8478395552956344,0.637905604996001,0.9003301078517931,0.6885920803494172,0.6923748684725874,1.069517225277891,0.6210531545754122,0.5810593389358909,0.7012673461814931,0.7905137629982943,0.9559555335507616,1.0518470048369981,1.037647535088695,0.8733890460268138,0.8618739767777537,1.138213038135173,0.9260928495493111,0.8011453408196868,1.0003376934136226,1.0487753843468675,0.8197320430925781,0.9175629348609017,1.0767463443990093,0.9572571694162675,0.8855651622061832,0.9662565929063921,0.8741727401114119,0.8557871953284474,0.7996616756914431,0.7866190408808988,0.8267755884984282,0.7230005635499257,0.7526709368523983,0.714595290364236,0.7381704085762852,0.6313146253212623,0.7071288233101193,0.8117241846138272,0.7445828290496871,0.6607527481774086,0.7279122001916448,0.9784645667889665,0.8396666009372356,0.8117172044069596,0.9388696865377071,1.179393085211461,1.1072049390955347,0.9324135703407611,0.7849958557344574,0.7487701908833567,0.9908797839290568,0.9202661687540757,0.9488278715017449,0.7969772827903712,0.7252434415109955,0.5777779354836433,0.487649885163349,0.5539212342879903,0.5493162043939144,0.552546865659667,0.753219310595405,1.572632246818466,0.5333294814490818,0.6518707999119442,0.8622444483637147,0.8493161197703472,0.6066376753393187,0.8403607606459093,1.0451671962388493,2.9900881924425904,4.3443268423096635,4.787210284316296],[0.6765255246858543,0.5556372254317038,0.5584524921411749,0.5685670357248671,0.5119302124645914,0.5073818473380984,0.4099636862896666,0.4809491991501854,0.41358110848688107,0.36668648123181974,0.4258080814562558,0.5208585759728551,0.42282681308605,0.41968292556971853,0.549596850869867,0.5273813908375263,0.49672796758775417,0.5655121613082091,0.6392581121620696,0.5850836068143747,0.7540947154285398,0.7106749887468691,0.8409539439327317,0.974347407793711,0.7179362716490524,0.6689163683359576,0.5586387076115362,0.4758239047316225,0.5096389308414085,0.5186286866613312,0.6451658308279208,0.5846928820889672,0.7744983860995641,0.7432710838658324,0.6244230907770347,0.5759156889973609,0.5623344440197282,0.5501248204922151,0.5158799031561576,0.5515570963071049,0.7622778317049173,0.592020051250972,0.626017239589849,0.6684167865448033,0.9111300225085588,1.573065795297271,1.5738922055008693,1.0290542212485472,1.2519960874156746,1.5082139228026996,1.1374714335540765,0.9040896258171108,0.7782122639791973,0.6729043745903951,1.4798496373522625,0.8523653718626228,0.7882718135297591,0.9239619509641972,1.0423841726606946,0.9449905817555497,0.8405782864112903,0.8451898153975959,0.7993746468584209,1.01373061003728,0.7798672533258478,0.766642898521707,0.9865451471017761,0.7282076867856015,0.840918102848552,0.7638021024817918,0.9734790248542836,1.3059002178398116,0.951810076701243,1.0641430469743163,0.8084396121279982,1.2508023478242825,0.7492509387798737,0.7730346571653516,0.6939367229129841,0.7111667840775265,0.7115865091264606,0.7530591810789605,1.189151038361004,0.6765039604132723,0.607643480305572,0.5602727400347297,0.5999371673795091,0.6822813418443546,0.6118392792052496,0.7895595196822857,0.7450993994699714,0.9813506586063885,0.8513727341727148,0.7761551047781292,0.675951127382682,0.7695832451207181,0.7122179263060752,0.6783794601276298,0.6509145107753852,0.9584360523036143,0.6561035071917097,0.7594819939517029,0.5682379703094512,0.6359441663536273,0.6342105419829286,0.5941810489037608,0.8890835253715226,0.5518708348940266,0.6139482268031171,0.8567987947554112,0.5480824000673832,0.4308669411452405,0.4069785391251147,0.4280024384113059,0.4275498161888097,0.4358700955605111,0.4607309703124927,0.5038175031299547,0.6213770861436742,0.567734889212455,0.5629744886552828,0.49103507346519243,0.5187947651377042,0.4357252994753653,0.42053847814075074,0.4284694536922102,0.5604828015623651,0.48108233199431305,0.4903437032140906,0.5195157830101025,0.5186262609810921,0.5451360641294308,0.48136984239139596,0.5664469657206443,0.5114536416279394,0.5179741579615059,0.6617385924168874,0.4904822210471755,0.47936655109247,0.4733554529029486,0.6233974567731799,0.7009477857209321,0.5671164935370517,0.4751796611783946,0.43518482314810575,0.4784379822783543,0.4207774461031259,0.452515180580775,0.44977249304316536,0.4831614103272792,0.5684756334259125,0.621113594793965,1.2371386895495848,1.720555873228846,1.282717828040539,0.7851763246787907,0.578733816966938,0.5895013884576783,0.5151711823921208,0.5607767474901303,0.48091157650562116,0.45121000464671707,0.4307260113331415,0.4373974971494732,0.5227703901144471,0.5721817874492197,0.5344362281994073,0.6879103188063258,0.7306976336604891,0.7010940148622573,0.5192816216034886,0.4796678740167113,0.4496032824883955,0.44330477000393803,0.4511313790668162,0.5269654605516466,0.5269700112235108,0.8521405797538586,0.5486671414467851,0.6128322125837095,0.6425937160990974,0.47787336874147274,0.47005512845045494,0.4611209800240536,0.5017061516782302,0.5201263987745814,0.5638321738466161,0.7258817287357193,1.1618827880711133,0.7497948329309083,0.9820756460174179,0.9027785363603994,0.728314651367161,0.749055646351826,0.5358142457231562,0.5675115356926594,0.6192021951152358,0.5564883705740261,0.5901176926331999,0.629108046983112,0.6474582046846848,0.7104569384973355,0.6156485019358406,0.6289716757510585,0.6973040485462075,0.674405026417906,0.7015347056058842,0.7104934431444271,0.8006060113739398,0.7234145565894244,0.7915950895864938,0.8516136282375579,0.8175606839765683,0.8734948551443197,0.951335678877957,0.9398812678187413,1.10541230842113,0.9234212312907463,0.8447850960613631,0.9299775341163564,1.007355397499676,2.0700752788500805,1.2799020449321907,1.596218199916592,0.8782335613367852,0.8954530255158254,0.9254453579777279,0.990699442275538,0.8580355102235425,0.7258013666892134,0.8208983352512939,0.775923908965455,0.8949673594929914,0.705798020831423,0.9278810043540353,0.8371824742895676,0.8026755725886692,1.1630746999868604,0.7300074517366868,0.6749179239674066,0.7653718706420474,0.8624642339028128,1.0328029478725493,1.0827836118274532,1.1030568086249066,0.9623040879480819,0.9555012291295982,1.2150257466908834,1.0239688010733452,0.8747280973491405,1.07597162186005,1.132702047532244,0.9156075952544487,1.0031207792114023,1.147915134303951,1.0367190576786602,0.9610127369162375,1.0515970484936015,0.9535024776086141,0.9418850883678048,0.8838215790624857,0.8642896740908511,0.9096339076167463,0.8030208181764044,0.8266007276308673,0.8002945176813344,0.8106598415111466,0.6989344455684794,0.7852418286568233,0.8997293099543079,0.7938763992739348,0.7488963276885877,0.8381469479241919,1.0367878415666805,0.909577896751417,0.8823886274791359,1.005247314327054,1.1832219670239785,1.1891970487844363,0.9745346907612972,0.8470205937629397,0.7969580499326674,1.0253080166958637,0.9584111139116672,0.9894797576906063,0.8310657699631029,0.8160068466648089,0.6414155192364055,0.585716343067412,0.6504040150843822,0.6375546294673325,0.6234629377524271,0.8033722841162295,1.6072190260946277,0.603180861976353,0.6845149279849427,0.8619897311561412,0.9191799362609415,0.6299488729116622,0.8484928015904586,1.018331859922025,2.7030732646818847,3.954488758203446,4.332503892488244],[0.593246813166333,0.44860472166347154,0.4337503705978978,0.5273216084958808,0.4548725890160175,0.4450277825426133,0.3947884496112864,0.45339553551193307,0.42828288552744803,0.40945037402332335,0.4644895715063297,0.5529040835476876,0.4617643447149353,0.48323944412138115,0.5974783739946947,0.565454291160347,0.5647507687377789,0.6146609105655466,0.7051254935713325,0.6377454554007238,0.7968814636517857,0.7631601616012851,0.9175665329421689,1.0250438618810498,0.8231512456917142,0.7501454397341571,0.623355755662501,0.5551994313578663,0.5646056995428876,0.554405567845988,0.6697482023256582,0.598153239248836,0.7643023944448489,0.7342866203498568,0.6417003439484895,0.6122882419392827,0.5764308928952886,0.5829699151405549,0.5638075429214788,0.5655119978623052,0.7454430247242938,0.6772239860793346,0.6810741014144363,0.7864799447499978,1.0013138325970279,1.616891535243697,1.693833848029071,1.0627176911934368,1.2845937603358282,1.646809813449174,1.2204254195257018,1.0643963901385738,0.8278063162995296,0.7290739319503451,1.3986170261106834,0.7792050656668272,0.8017540916250779,0.8609175261021256,0.9690755726545865,0.9974587059197195,0.8975698512431365,0.9011136541744025,0.8479935426230597,0.9935770016342834,0.8293977142547427,0.8320221813818254,0.9982309245097304,0.7486121391134775,0.8413263884276089,0.8158053602841545,0.9490950527572506,1.255641964878994,0.9954711787745174,1.129071564554554,0.8384406727121694,1.2789528524867657,0.7800272596438268,0.7900502267582358,0.7162678605837133,0.7170342052581614,0.6830642854913085,0.7290645591143887,1.06743129859547,0.5680805891208787,0.6570940250763888,0.5425924464770046,0.612127830003997,0.6804880166374435,0.6403904742673343,0.7976775070041191,0.7529721416462091,0.9879923417606872,0.8450833802281835,0.7589316211522025,0.681449436957623,0.7716516554613652,0.7092736070234267,0.6803773399016025,0.641181735589227,0.9591729502909401,0.6376479059429314,0.7334683651847811,0.5562780222812276,0.5935346801250174,0.5992618726744264,0.5512266810457436,0.7677373779823059,0.46551994935756663,0.5099176625953904,0.7373947251323528,0.4500848271597016,0.4130620047440597,0.4002218667583734,0.4393185473217268,0.4748196879007689,0.5163131664833313,0.5194043030239173,0.5965429981688262,0.7373890976729615,0.6660644733150929,0.6455062633127984,0.5658821864607461,0.5693576341832857,0.5115034851131993,0.43832404728368646,0.4433333726762968,0.5423495940628003,0.44924588597001075,0.43628097259143755,0.45161705669777347,0.46849463838350314,0.4848348907123374,0.45905897291801284,0.5303848518806348,0.5108612035829847,0.5186040014894078,0.6612150120629668,0.5044271304364146,0.5272283690134888,0.5360793663571154,0.7238444782876561,0.8361792449872023,0.6646828516686142,0.5566215149752798,0.5260762788498426,0.5461371862438812,0.47610755660737486,0.4948220783893518,0.45829908413904824,0.4825716098619474,0.5433853434281527,0.5889677774080266,1.172759077373321,1.7619603356065685,1.3546133792161692,0.7254612965693861,0.5509494349048403,0.5485046542305024,0.5002796531491135,0.496343295585819,0.48033877002023506,0.4949531230721955,0.48578839493412956,0.4852561135459912,0.5574230956518331,0.6305247339295862,0.5777215560628352,0.7620326629492503,0.7647453864219861,0.7499739211855376,0.5584848819788527,0.4915589770172993,0.47195878966374305,0.4482615025915822,0.447754221417254,0.506609212715644,0.5284288846616554,0.7894113782499362,0.5282347170761696,0.5712794299351004,0.644184679919714,0.4681211816227497,0.48935941710796266,0.48122550338652886,0.502309023836531,0.5666694895262806,0.6283382249896174,0.779543297837654,1.2724562353656226,0.8844856954441379,1.0838076547956608,0.989331562289349,0.7682390744199408,0.7482269152910012,0.5445994772174997,0.5588334754539362,0.59393602659347,0.5054410570640765,0.5146739380902057,0.5321604898853773,0.4986580245903976,0.5440357169940349,0.4875459693444433,0.5225712348943437,0.5628264934033987,0.5510552680989732,0.6234043243929488,0.6047339554754069,0.6612898877210615,0.608249870803733,0.6771869842165987,0.7183074513151668,0.6869085139446172,0.7409001822617644,0.8310964910229426,0.8292416258836056,1.0033708261444156,0.8434434127621451,0.7238208390401015,0.7858519298719792,0.8697814940879343,1.9033234412289486,1.1482434712257228,1.5177090540553049,0.7376046732735266,0.7118099045975759,0.7771644180306292,0.8111418172069688,0.7441465152468834,0.6042256764978502,0.696364462388444,0.6914499190750941,0.8612182820643774,0.6226017064194146,0.830557537521795,0.8492207146984118,0.7776643739521292,1.1387057487212089,0.6347676646280966,0.557584118294802,0.6413489760764998,0.7232158790999157,0.8697423200825125,0.9558515873245595,0.946516432009358,0.7993873272257761,0.8026510681052292,1.062161625458403,0.8704442327031764,0.743696704944155,0.9537891313933617,1.0303028897367776,0.8018436228239059,0.8641533360970197,1.0340514801648653,0.9451515895014904,0.8290414147429923,0.9079997027065488,0.8107923407445522,0.7963991164099894,0.718693815956008,0.703783155348173,0.7690647487584602,0.6546929296660329,0.6651069309335363,0.664558792020526,0.6950300495128622,0.5900082317732398,0.6745558823850668,0.8145975042125035,0.7378035469611346,0.7205772829018383,0.7658659700297011,1.028816457703651,0.8696509776186943,0.8507770852365107,0.9724870075624477,1.1920025811994999,1.1506023145670496,0.9272570505041183,0.7621253618651812,0.714998401173297,0.9773692706480935,0.9392158664758706,1.0105110202465746,0.8321777303622853,0.7788483596459445,0.5723982164845738,0.5045042244157962,0.6098503778978532,0.5396855778870383,0.5116290346956798,0.7145747605953822,1.5820124655275507,0.5069070655011705,0.5853778279781255,0.7974324236431263,0.8657496629407111,0.5358726860930354,0.7482349392679873,0.8548788359315224,2.526654032477764,3.5687547686246974,3.788695515826236],[0.7640858548915268,0.6200275718724808,0.6104315951296647,0.6886540173393554,0.5962553743218509,0.6568034875031983,0.6360160380268083,0.6331588670152823,0.6060587073619803,0.5973314622332097,0.6229770934507176,0.6970638896640992,0.6146376176825783,0.6448371809044194,0.7229074946802941,0.6850172922526417,0.6852792119543059,0.709217148686621,0.8021279500153015,0.7293575256029285,0.8025911604601845,0.7893363236624568,0.9117483096426314,1.0614470635385165,1.032897419925774,0.9185555263662184,0.7233001569003783,0.6871069898197709,0.7025185523526535,0.7051963370664569,0.7265632883630526,0.7166686335603518,0.8216501526736699,0.7726031212204784,0.7299533032334102,0.7173412751277835,0.6914144491892235,0.706183511868549,0.6728113583831418,0.6687664384216414,0.7514732999298561,0.8129860212347869,0.7864524709420408,0.9595112001698771,1.0812548126946269,1.6698995928056264,1.7776504431408358,1.0953692870076566,1.3908547239545948,1.8333255949946103,1.3700414760225468,1.215195818282571,0.9982081563844796,0.899503281016221,1.3948957307705314,0.760958323240223,0.8415116814043395,0.8615083499484835,0.9411109264742096,1.0463293323451854,0.9228972787624204,0.971651129656473,0.9118865440410275,1.0094457122967742,0.860532760213858,0.8727306275513065,1.0145145904997002,0.8136504678252379,0.8797531892348435,0.8876506353369201,0.984178816172874,1.2556647977582578,1.0314766408120777,1.136483533283708,0.8947495887972327,1.2757230401808306,0.8447322061690844,0.8401239279121177,0.7836691876827969,0.7704372191485511,0.7451872838935929,0.8256214653019459,1.040884644897574,0.6789485920671807,0.8421972011349808,0.6972252268178617,0.7231485386526447,0.7551177195499348,0.7236203156245012,0.8255788662873382,0.7973529040457127,0.9427087474715401,0.8479220819266982,0.7723246784320819,0.7355930409688693,0.8012182870605177,0.7896350346332014,0.7764715428791721,0.7780321821937787,1.087938695266148,0.8020333549897751,0.8978714308684647,0.7234806863951089,0.7682873682540929,0.7552562679516094,0.7271963363932411,0.9538389312335835,0.6566198616202522,0.6918935870789427,0.9094366533874065,0.6751001897494662,0.6150319162931045,0.6143223524921518,0.5904810717294064,0.6427248438885725,0.6633091401508094,0.6856459884608501,0.750823930823136,0.8635289500721148,0.7625234142105416,0.767497692205971,0.7083228793544966,0.7305913396141207,0.6694152369588516,0.6162956690138102,0.6207019813634229,0.7165378897345182,0.6595101554461149,0.6513109424243702,0.6639124643727407,0.6792168131367309,0.714728730532096,0.6795519374885612,0.7151643511827132,0.7092480100782035,0.7084531774155562,0.7739613340357515,0.6606844675986898,0.6747759382643983,0.6971005267009328,0.8564852467803936,0.9448026650111098,0.7830286192315868,0.6971494507564138,0.6702775640168392,0.6788053827725173,0.6379941845603201,0.6633881811173411,0.6152647536231278,0.633575713802503,0.7015098027744585,0.7506632135087298,1.1945228447096075,1.775815764890768,1.4812121979075328,0.8758410830703256,0.7261669939169212,0.6973149564795106,0.6644255954935511,0.631039282670879,0.6469556160781106,0.6443741737011135,0.6586868968736036,0.655772893396099,0.7388945119129323,0.8140950180418148,0.7368680531979693,0.8703283899811934,0.8772465937958639,0.8582978545755339,0.7273526744640486,0.6602433272244429,0.6642639808601042,0.6529480090912909,0.6421056869827266,0.6938270761989388,0.6922036969999328,0.8441090337152799,0.6864850441042037,0.6893872994102377,0.7477803782142023,0.6556340497782197,0.6657247682857985,0.7091501252806477,0.7259446743652228,0.7288629048422824,0.7075564567696764,0.9254204378666878,1.2867209470499148,0.9990463088512455,1.1857246852468475,1.0493751854095914,0.8978472313556223,0.8376759754062382,0.7164725666715098,0.7372165941822844,0.7600204092628282,0.6920628935047585,0.7129836097588008,0.7416579100649485,0.7177587797040359,0.7421188373945703,0.6991476018729648,0.7177867074209837,0.7438493893543789,0.7300889563707723,0.794147114387124,0.78681471195151,0.8252139132345465,0.7759655739183018,0.8388833956735103,0.8701893964969761,0.8337968350618927,0.8737708515741196,0.9682067786159141,0.9611408681429843,1.084249789035829,0.9835165673322765,0.8940504795733311,0.9408664034927603,1.0361375103343733,1.923427682640721,1.3058609615180319,1.5784049955388473,0.9193379267886304,0.8635322806016432,0.8645997344996256,0.898480456723093,0.9126021043877283,0.7760072453905043,0.8289551040693088,0.8438798047359027,1.0081914969159225,0.7969937079166418,0.9155815413362763,1.0267957442013236,0.9405194698300167,1.2840306146809979,0.8414821156601872,0.7637136020554413,0.7574053963188592,0.8159743644301619,0.9298097725822154,1.039601482079611,0.9884736011628575,0.8582449332638444,0.8902525986056883,1.111866799524994,0.9514018328545912,0.8494192334449474,1.0526072304873055,1.1302571691945646,0.9420336740504907,0.9871530986985338,1.1275098655788225,1.0726825329907241,0.969803294518436,1.0460269034512781,0.9585245378339357,0.9365168455127739,0.8607438800387366,0.8492145388895644,0.9334183199113163,0.8421531600662436,0.8194856192856957,0.8655151434244697,0.8799764284653908,0.7764078631572994,0.891544161818819,1.02404474163207,0.9094732723655812,0.8768695280202399,0.9308826529832607,1.1887569554662367,1.0250503260309198,1.0091668728626075,1.1283792918663829,1.3047189178612795,1.298429251069254,1.0775133655716482,0.9059224189103099,0.8777665620744606,1.1126906045554075,1.089512373353093,1.160691265884504,0.9894448833579526,0.9285173899984211,0.7468297847834005,0.6855226084056408,0.7479209905775223,0.7074622137709412,0.6891132176330327,0.7839437090095767,1.471476517568422,0.6697256409223223,0.7302496567790863,0.8417471348633779,0.9943011798276035,0.6849968918987219,0.8714772916276358,0.9894729847189442,2.0499509193052323,2.947962963265125,3.152578222841067],[0.7343679378417415,0.6554590689167904,0.6688160965466365,0.7696978137026812,0.7131580775432496,0.7719313534163261,0.7924882635080159,0.7985543288849796,0.7780625931163986,0.7844838092211556,0.8159365200605401,0.8291112547582318,0.808910769482669,0.8046536024255021,0.8306430164122881,0.8094360945351119,0.8427084456819708,0.8463455385477169,0.9117797770096661,0.8637625966881168,0.9195621593305215,0.9215529529144086,1.0183777909441132,1.1407272381255091,1.1094745799736654,1.0060197199450436,0.8433442818898124,0.8216490815632354,0.8053114558215245,0.8176962629533119,0.8501073430730337,0.8545770042231453,0.9551890131828763,0.9065076989063461,0.8445183655871725,0.823295435484193,0.813884099808135,0.8279760256699985,0.8149936579719367,0.7987116570636067,0.8407900082149619,0.921288478600604,0.9035573093480455,1.133844849471932,1.1949351324916793,1.7969837160359436,1.9223723322553885,1.1830951237607072,1.4773563299437291,1.9881694132870646,1.5879785533675923,1.4031498445826565,1.249911677082201,1.1215870021945575,1.4777633938721872,0.9390420848451319,0.9912790076858962,1.0358598746230994,1.0714614714542112,1.1477215549350117,1.055984933448106,1.0425337903287601,0.9723200026515079,1.088556799058063,0.9817978502793353,0.9471268982486735,1.0966281785966947,0.94963141627157,1.0081611828533128,0.977692393993316,1.068171313763312,1.2932839445508408,1.0837223844376718,1.1956843639108203,0.9619792639138153,1.2765228119508076,0.9156847349406344,0.912409811731123,0.8517836492317162,0.8715422233739278,0.8734989037212246,0.8810274596971452,1.1296514008040117,0.8042330416257842,1.0068024039706234,0.8115408378759497,0.8338708755200109,0.910702163847731,0.8250264378822532,0.9334052775728083,0.9169198466054187,1.014446924564624,0.9488797079499621,0.9035061242144266,0.8607469634371762,0.9308628888566332,0.8800147194142838,0.8880518543032475,0.8921404976870049,1.111578976364362,0.9161487787633384,0.9742525627307288,0.8397828538324235,0.8515470537369042,0.8651208379857442,0.8628899184653994,1.0160107790104151,0.8206775911642715,0.8432624319616777,1.0970071503618442,0.8358083844312965,0.8051228296502773,0.7967026012309025,0.7775164340861088,0.7980781520003549,0.8118196859527719,0.8157145329133618,0.8877316314509244,0.9822795115526686,0.8891398302551294,0.8938852693935387,0.8266881747642413,0.8746700737985326,0.8134027926966886,0.7946533995757274,0.8187754405188177,0.8673737522989166,0.8385762286091634,0.8421724629684674,0.8465418009967843,0.8484282113504762,0.8812114352868092,0.8496545892097492,0.8403732996423379,0.8617180783417728,0.8536690879252614,0.9312857353484792,0.8367958840247485,0.8196965668719403,0.8377911003529448,0.9755784157466144,1.1013982902891903,0.9463160000815307,0.8506517198736704,0.8337918678144435,0.8313844976841441,0.8019087368718454,0.836451475870613,0.7712309311251375,0.8130403202023618,0.8644457599173082,0.8507884785607247,1.1111474466758484,1.804113027629424,1.5838413210228584,0.9509330106434741,0.8552050724509888,0.8412526647998735,0.8273554135900402,0.7849238048086725,0.8265526622190091,0.8168619728324289,0.8249498572127713,0.8430157454299312,0.8678424995476266,0.8689408091455745,0.8737071546926226,0.9913622406043661,0.9848972315447563,0.9683420358013548,0.8689342170543884,0.8304539732635214,0.8411199037304168,0.8134964971807706,0.7905084598130075,0.8072627308197241,0.831167037719037,0.9469710466081811,0.820316220966057,0.8487249501764849,0.8771291984503561,0.8098500090364656,0.8347214743145808,0.8602493339111026,0.8701103061166312,0.9057032486245861,0.8308453347797313,1.0459427376119796,1.3467283887626695,1.1148959971047752,1.275814977753255,1.1633688603719587,0.9990843642292315,0.9442522342973841,0.8584011726548149,0.9307629531952987,0.9268516516804924,0.8578910516841068,0.8486086488401791,0.8809226467396281,0.7752367961690828,0.7873783839816927,0.7837934953344904,0.7769078841815268,0.7679252808507174,0.7695604742509212,0.8330694993191833,0.7960728264001364,0.7948435632911313,0.7747711423502966,0.8223831215854618,0.830231494021929,0.8048907991889076,0.8400482809156514,0.9152749544629483,0.9336703687183597,1.0553508750288023,0.9724452209628911,0.8797438891728878,0.8862229382065424,0.9625705674172725,1.8028523650671764,1.1527848064357409,1.4501045327335242,0.8359335233072387,0.815293323238011,0.902869768668594,0.9322154807679532,0.9065868360199543,0.7923905350065796,0.8760132589058293,0.8839192282881282,1.0199336310920244,0.8667004845956163,1.0072878892239903,1.1099584492928223,1.0331970683528005,1.3857329268992051,0.9022762147615164,0.8833870976805757,0.8663531058088,0.8721553220052715,0.9961809660766906,1.0133065569045991,1.0475726026920669,0.9563968385525092,0.8724026719476567,1.0749006445638087,0.9636734038951073,0.8325208640161385,1.0011163598275836,1.089298953481304,0.8955473940954446,0.9163805281688447,1.0683898353154768,1.0298408391597054,0.9012201632971646,0.9672055391423725,0.8665021220686381,0.8509181620079681,0.8129210252054557,0.7971276598177913,0.860112785089423,0.800239880917597,0.7956950039704513,0.8203330817474359,0.8492311472435743,0.7986186244659932,0.8680224648064493,0.9884900170261447,0.925150562085222,0.9539902566990714,0.967566444545586,1.2348657989679768,1.0693673751670472,1.0561016530193459,1.171492714527696,1.368009753347218,1.2810922781242318,1.0929614481113947,0.9300416278877085,0.8949281767243892,1.1270808440319773,1.1294078173889974,1.2146367560353033,1.0498541627013391,1.0122323093045427,0.8575446441872361,0.8137336046331614,0.8870357111748558,0.8106982431393133,0.8086002256480197,0.9001971576965603,1.6149097652084285,0.8327666315407899,0.8259036933660454,0.9614786709208817,1.095923540249666,0.8026372184510238,0.9369005264613488,0.9484730061400762,2.1162554520100163,2.800566965618073,2.891995265678119],[0.9500039027273324,0.7462833966217062,0.6650645860523935,0.5767589549396521,0.5693564311319517,0.5727760427624162,0.4490660403117455,0.4636305167945086,0.42349279870978074,0.40466457836006703,0.4653780859505031,0.5237123400451134,0.4382272920081357,0.46928968058213033,0.5678382714784571,0.5056277759487956,0.5191956148544937,0.5578390109256006,0.6499463743353415,0.5861926143142067,0.7558054983353265,0.7351866186653705,0.7850983061490122,0.9793450212049585,0.841756330988096,0.7090027830424046,0.5465080888354712,0.5092690289608104,0.5058997996604975,0.4795858301295758,0.6168425511907574,0.5346417160925953,0.6774739229690173,0.6567540165228304,0.5433467307952964,0.5257596303940538,0.49169419361323197,0.5102160217366782,0.495499159286634,0.5145906822721472,0.7037378099364923,0.5922985784455639,0.5950887317019093,0.7928790605393717,0.9870796459194577,1.6643472852564962,1.8116090064504209,1.015373802123219,1.2961805828346422,1.7693058216470803,1.2700398082566862,1.1937244938330833,0.8939656874249837,0.7522710472430519,1.262954508029797,0.6779933296888409,0.7389975469619656,0.7767308678407315,0.8710701504905329,1.0195632893568725,0.8420627836353411,0.7981416841076133,0.7247896960521596,0.8515895749577151,0.747219800744437,0.7443286976143906,0.9526582875134975,0.6951289003731316,0.867043967848048,0.8102377752671356,0.9569327900339782,1.2126752635752271,0.9908226533176733,1.101438960274198,0.819366584948165,1.2374778327388476,0.6805327484195336,0.6885571915570302,0.6143714550689613,0.6512309534799942,0.598102624234741,0.6713907776752099,0.9216220912141447,0.45875284737818883,0.6708903840555509,0.46439108545020036,0.5372288430160315,0.6342850820511372,0.5548050939296587,0.7140998692853284,0.6649440017660042,0.9879098235585455,0.8275334431894765,0.7035424872364425,0.6278014784554085,0.7463580638873499,0.6837509567125005,0.6218086564490921,0.5832206904340939,0.8729145133805606,0.5711834259263109,0.6905755760774601,0.4928152439960508,0.5541397668838003,0.6158193224058889,0.6018041489333916,0.868296538713363,0.6455251431836282,0.6880565047377055,0.8594280692786894,0.6227480609126695,0.4667376818951813,0.4254559392126688,0.4331057763860033,0.4433517074232592,0.49672016564123156,0.520737337486902,0.5976807661067579,0.7679290360177685,0.6542306303362332,0.6708497400497807,0.573337278883475,0.6025782177836274,0.47178481743809386,0.4272337377006096,0.4813899287971181,0.6421404708295061,0.5629727139397135,0.5946590028473299,0.5832520552827732,0.6554371664741302,0.6955011271399557,0.6335654438573385,0.6217397565795455,0.625363327295766,0.6361335690444146,0.7518325039166229,0.5980402208352753,0.5280140145189623,0.5373808107587581,0.7191840736747593,0.8641812483243945,0.6572747080894042,0.5251460894181864,0.4829295319981405,0.484896873973471,0.43281151550018876,0.4482285212560552,0.42300466612553195,0.4723965459632577,0.5395770365509641,0.5690040333614357,1.0692499402449112,1.7385789726253376,1.4003996776633159,0.6704049296488521,0.5120948245207649,0.49369536756775967,0.45576071356412157,0.46016541361637153,0.4754759588878804,0.44096222919425476,0.4823886712706991,0.4772786221374788,0.5491921208125393,0.6736821223466828,0.6365627907349476,0.8372393136572011,0.8673926690310795,0.8123679113235023,0.640005866356166,0.5728309821340805,0.5309225648263358,0.4665006066851858,0.41120518696678593,0.44870469904583393,0.4489434349389816,0.6738652297134505,0.42808588495464933,0.5143981801307264,0.6284369784324528,0.4875329663227441,0.5327249514658162,0.5827729486478757,0.5614925902660299,0.5546977638859976,0.6002206576119467,0.7360095958175205,1.3366628586526452,0.9620399605821282,1.1542293899003524,1.0268982105223752,0.8582735545679666,0.7990412015589426,0.6815707239353294,0.7904766910097624,0.7967818479869789,0.7397545499167328,0.7887916303164194,0.7840621578974052,0.7835512757971272,0.7875757350817003,0.7340552860966615,0.8100448915674654,0.8631189689230421,0.8407230841266362,0.9023782592642405,0.9239498334002693,0.9691720544727459,0.917371632619831,0.9862969461072695,1.0582321592934256,1.0172497619153742,1.0148088329932872,1.135602226242427,1.1151258432887545,1.2572100880959074,1.1452943614083078,1.0665562704331413,1.1086432425085915,1.1910330505167253,1.9668193636121498,1.297150795588035,1.3997618038147555,0.9926253436125738,0.9847497771338405,1.0029790167697707,1.0184491597924512,1.0985057256973398,0.8849523441655226,0.8891913682415542,0.9506462456088162,1.1072832256723397,0.8839624687754472,0.9829957386535321,1.1990440619864924,1.0544055769185126,1.3561379113666336,0.9216877273192844,0.8183869195945176,0.8056286155122043,0.8805887511102324,0.9570030153698648,1.1066452617332583,1.0300292189553857,0.9409665994952771,0.9876809058003104,1.1389034518712886,0.99035854147117,0.9503323061662106,1.1524855821815883,1.2368682360315049,1.0672459918266588,1.1224323191115533,1.2734604867483308,1.2626881962748386,1.1239668688259383,1.206696140474177,1.128330040701699,1.0856349870313489,0.9837117752637172,0.9865258437036606,1.1101756732693928,0.982876738223104,0.9354444275653497,1.0185910351282748,1.0341153819534534,0.9030756362974267,1.0149804051652194,1.1373307698177204,1.029487018853218,1.0383937152068345,1.0903816505078237,1.3061165933988927,1.1268440955288495,1.1135345567254935,1.2469586858664206,1.4356746518653352,1.4004656823455734,1.2030458841928962,1.0557162374646873,1.0079639136596272,1.1854060195111122,1.177445573528075,1.26574474698331,1.0647076482379165,1.0651741040946352,0.7936785386621554,0.7319926733902575,0.7640095259917367,0.7568929945252829,0.7109427800871376,0.8416544583378408,1.505703084284235,0.7062323656382061,0.7945486583236581,0.8743843014312025,0.9888821397135024,0.7139571243471474,0.9566758185959482,1.1974394136927746,1.718817644849807,2.3402757912802548,2.4367231525939674],[0.8008798139939054,0.6598936653550853,0.6265533045393096,0.5495418866863204,0.6355608032039637,0.7247006821161102,0.666568313028233,0.6973820142080226,0.6437686556334097,0.5648551913181299,0.5666395413470426,0.6845232172027775,0.5787615372214895,0.5345637040453366,0.5725742195687589,0.5688437544911392,0.5920799018079098,0.5696114844899659,0.6638143952930616,0.6028338902794439,0.5979053555229091,0.5866650190517143,0.7838227442988721,0.8677934453185935,1.0014481183669948,0.8194746436469835,0.6188963197025313,0.5518261534777464,0.5713809501493256,0.6159322523807202,0.5750802943945239,0.6543341568240614,0.7050243259735545,0.6726879829936617,0.622740875342621,0.5986243089432112,0.618367533246809,0.6327825877809143,0.5827173035059723,0.5603963263513811,0.6981315962258787,0.7170615786575626,0.6790797984104588,0.8635438319519803,1.0128340296363874,1.688911240175459,1.8035429405897405,1.1098256758409564,1.325386225538805,1.82245315596715,1.4111550548194294,1.2057291185335175,1.0804853064724662,0.949293355243115,1.4386115111187459,0.7246718385900122,0.7728477051969163,0.7688482798663211,0.8405003020687088,0.9321810417795449,0.7870145443267965,0.7878528207425285,0.6931537344075016,0.8506576737240402,0.6883321357801645,0.6643626971584873,0.8337702035729964,0.6623624873272077,0.7160841336898257,0.7180939604279897,0.8419604561118297,1.0604929167104074,0.8344334976774918,0.9276473456318206,0.6798727558199726,1.029269211918765,0.6599461279911252,0.6429984534773093,0.6133291775160264,0.626228930524434,0.6838545266468091,0.7312013960285492,0.9262324797807636,0.6425788405797748,0.9111481542635963,0.6630636944690306,0.641176034889641,0.719461597279596,0.5983474048734898,0.7053985265199995,0.6480294336057517,0.7144082576694142,0.6189065318320843,0.6035433545921775,0.5959015230416796,0.6331253825890217,0.6315164028161342,0.6862292220090233,0.7252676798181065,1.1327149222008455,0.7638769578107276,0.8888148561786425,0.7287228467806611,0.7910558604904824,0.8000105002711457,0.7805234873986999,1.059370298269876,0.7735177770409338,0.7913876713774162,0.9370349289588868,0.7494933045732721,0.6591179835424599,0.6450843077192753,0.5981981684049391,0.5681888449277057,0.5764060257605065,0.5273433598715591,0.5626928175743552,0.6329573506274533,0.5884210851722659,0.588740847968105,0.517491775215931,0.5689607790459846,0.5715456458641038,0.586426595826734,0.6411309698396206,0.8127734673813212,0.7183867423157427,0.7420464999158249,0.7401116125366713,0.7752306357054705,0.8307662734464509,0.758987626652615,0.7765786745198793,0.7541706109358275,0.7338445765217162,0.8089667546395397,0.6945990407099493,0.6129274054370542,0.5892120378293095,0.6934431954499003,0.7816249718953627,0.6149643933753297,0.5444096316979906,0.5560128921297688,0.5808356434613074,0.5495073903535623,0.5850619931460607,0.6278244718254327,0.6787123566020992,0.7836852006655022,0.800442776569018,1.2085633038245742,1.8721359321487139,1.6383988623107675,0.9096397475774451,0.7317089837470966,0.731714170688765,0.6746953717491415,0.6665538162657202,0.6432294988033664,0.5857397801254111,0.5695387246312786,0.609371162387615,0.6869693201465159,0.6455141499551257,0.6741862742460226,0.8189544044918244,0.8488006618376777,0.8099063600780283,0.6876105943524113,0.6582362213582332,0.6938625634892669,0.6451921091323816,0.6147420473598602,0.6756399467980608,0.656562490199973,0.7751971377021019,0.6325305256155987,0.6842809074025012,0.6212917781563155,0.6808134242040454,0.7017564708797489,0.7420269623156945,0.716918267057137,0.6855744056181075,0.5335656208535643,0.8386471250646578,1.158895750240565,0.9128633724881597,1.121718461439481,0.9884300722851046,0.8268505580472786,0.7490201418736809,0.7335509037818793,0.8503518980133907,0.86527326592454,0.7928844586961588,0.8156129318962079,0.8624335377373591,0.8008315825358244,0.8401453495644474,0.7998640148023014,0.7945141923062726,0.8392816012970925,0.8378226083738465,0.8569272770110635,0.8398678294566474,0.9063270007437665,0.8534800113666265,0.8783148172314634,0.9269443689515363,0.9212185516108066,0.9010731558391193,0.9576572113677974,0.9430077741847485,1.134157714491108,0.9702048935169748,0.9063385326650587,0.9374349965540738,1.01920578191603,1.835780833734011,1.2301053452348256,1.4943743463242107,0.9176135544924879,0.9299062718557498,0.9712775607385808,1.0002883492326329,1.012127410122435,0.8383632748798087,0.8835450885049061,0.9051423520493963,1.0571636203128052,0.8626629641387846,0.9698261269155033,1.1117386615310492,1.0007739764448742,1.350394316061204,0.9149357645056599,0.8874868674040246,0.85729104538425,0.8895309667275982,0.9914350653504511,1.1143058893849325,1.0899297943896487,0.9811856242852252,0.996236022194214,1.1777629681996813,1.0449814502821435,0.9500239059043749,1.1342748300993153,1.2256244153714988,1.0294038944767152,1.0527948154065125,1.2021037012186302,1.1837574516949168,1.016570228987659,1.0853452164351431,1.0152951354116067,0.9919552152366401,0.9339052061771241,0.9165544941218441,0.9827662996356745,0.895331385216567,0.882601760867742,0.899663652097704,0.9091717211251579,0.8260169279034862,0.9182860236980314,1.0104224860483106,0.9225134685803618,0.9593795340088725,0.9903051891401364,1.1798055096295552,1.0278482061442507,0.9988028292064758,1.077614821069939,1.2692528317194576,1.2577603736119984,1.0428147407146442,0.9204936743222764,0.898805766610482,1.091937793015791,1.0786433768316102,1.1388982033229997,0.9895590817308614,1.0120159611564972,0.8140458690909518,0.8024052117171598,0.8599771656635445,0.8197995622117332,0.791217738034908,0.8799634091374734,1.4900851025683621,0.7751006891996974,0.8150956026840686,0.8994296300988124,1.0715671747052922,0.7403630708955211,0.9160475109655172,1.1537246266524517,1.69307321734554,2.4199997571354044,2.517550784936678],[0.47530653290917296,0.3928450046220676,0.38653090747346286,0.470760064263464,0.40192079574404055,0.42242309451226273,0.3691868941902729,0.40574151300931444,0.37198435527313484,0.3320243783754399,0.3728637523440204,0.46653528024999824,0.36441802653759175,0.3808883842382378,0.4644050353584962,0.4247795647969244,0.44705863797197126,0.4754465831331231,0.5993733429493614,0.5172885601788524,0.6179668685350526,0.5986053718461984,0.7441984747143664,0.877900117254014,0.866116068923938,0.7325929196494495,0.5198136319204091,0.4390183807699747,0.448145737636266,0.4533100455757815,0.49736932458517585,0.4832974729661839,0.5861646521952285,0.5608577462595722,0.48359590968789945,0.4713182169758422,0.44478960437745585,0.4920768933466405,0.45447355836700276,0.449037272616537,0.6603164806407614,0.6033117038310576,0.5762442903584722,0.7519378476992544,0.9386027823801252,1.6260798715518414,1.7212746669291805,1.0213094981085347,1.280939944588849,1.7115777261931537,1.2675635377758743,1.0531766341347546,0.877684478062651,0.7447054623125752,1.3274836046312404,0.630130121722535,0.6864158447651966,0.7333700627762144,0.825060285578987,0.9064334974730127,0.7596087781585492,0.7583132545131247,0.6699866799220241,0.8345848625101402,0.6673107916335983,0.6627185664360217,0.8548147826102093,0.6131849375241027,0.7108369490769557,0.7076475638108036,0.8559541492639976,1.1148187757553614,0.8630876322593478,0.9660129551808584,0.6966292390043526,1.1073352835234185,0.6142697770405375,0.589127687335861,0.53066892107104,0.5501263783752837,0.559931241110203,0.6538283242105388,0.9086921665718517,0.44766219329011137,0.6803159554017532,0.4701219912771734,0.5215911230975672,0.5734238020710333,0.4820610902137012,0.6278409427988133,0.5761065783609736,0.7742588030620104,0.6330542432949983,0.5491966670052524,0.5122641166834248,0.5964018539780467,0.5637906360418014,0.5573139775142987,0.5477612572612012,0.8904825222526755,0.5526392431173549,0.6642918522117467,0.467197940222403,0.5310835817472194,0.544400140397561,0.5147312781787469,0.7666704544177166,0.44826424943012716,0.48862275924805876,0.748806064691127,0.44882406434337374,0.369028473789545,0.3559117677385522,0.35867607777453697,0.38899433317539867,0.42864614543322266,0.42802201247045085,0.49731516408769566,0.6120299047823103,0.5205447241240867,0.527328903462203,0.4406404419983678,0.4864996357964708,0.4256160147796534,0.38207355450800334,0.4045272615079291,0.524078269865054,0.4302394296811847,0.42854752636329635,0.4503405306178446,0.4697294489697453,0.5059420767803143,0.4669869301236703,0.5103955005976938,0.5039624133879267,0.5172084055871752,0.6109192134507051,0.4783663765955628,0.4585248059942881,0.45355341714338604,0.6283961828703996,0.7184208888018241,0.5476666017644868,0.44712968382115176,0.4150967598362994,0.4323957051836022,0.381738982921168,0.4061100478905705,0.3762744075535743,0.4319940764607254,0.5010800510186163,0.5642505833512926,1.086229821889431,1.7560912057798874,1.4080463622032164,0.6646143950362028,0.48201885525857296,0.47845239067293527,0.4319014779228628,0.4205496450217061,0.4234360832084639,0.3903623981131938,0.40140709464933944,0.41538003779212235,0.5146580715520422,0.5946247228843257,0.5280157769661095,0.7024394828419112,0.7245696845721127,0.6956403547359654,0.5234752670633804,0.45335281190121174,0.4490911923722604,0.4076208473871583,0.36487737061026215,0.43110224549607057,0.4451180627698045,0.6753268244743236,0.43272301724441786,0.47733643625922795,0.5468395301519724,0.4148724500565407,0.44224750819923825,0.4843229576095958,0.4976531680333042,0.5049802241514671,0.49337232927003244,0.7145604318172398,1.1835810633086044,0.8435274088027679,1.0509688642716506,0.9443581530630494,0.751107881091612,0.7023637547822873,0.5216365740262837,0.5602379607922601,0.5908150461664138,0.4934903025977751,0.5086027379564294,0.566348500953057,0.4883019258270592,0.517517527217379,0.4751701370009141,0.5028221247227641,0.5434658202157817,0.5347508181646664,0.5942458785878298,0.5916130962875951,0.6340372733270331,0.58817726020252,0.6566136480394639,0.696576842388289,0.6708791710758186,0.7088392981041133,0.8012283988665035,0.8055395088458092,0.9828168931952812,0.8359689736293194,0.7058123061405543,0.7636363166971565,0.8503829365712691,1.7824808403130317,1.1323498092623956,1.497743971568864,0.6917108198915517,0.6327055271064063,0.7012638535299827,0.7467788793667696,0.7006803605625048,0.5621533575919605,0.6524928238919486,0.677692219326531,0.8602249539896835,0.617580596437376,0.7899801226079627,0.8669676654814714,0.7825723102510236,1.1711130225690765,0.6341536193787783,0.5710688472896056,0.5903879109150861,0.6554051582815519,0.787129050071442,0.8617167159886582,0.8490951214925084,0.7258183775391028,0.7158653891839915,0.9503222500952956,0.791631843886932,0.681461766523837,0.8863324367120144,0.9803890750523242,0.7592698638370977,0.8149952202294886,0.9849336700373845,0.9325133710608882,0.7984703824895639,0.8690663432089902,0.7734589932586091,0.7394247946095741,0.6649582787106786,0.6404391712985129,0.7274399594335562,0.6283365170534286,0.6458239005478762,0.6420524683787838,0.6779252287801923,0.5874356221796007,0.6877026686810365,0.8313811810077207,0.7514804441188769,0.7277927713691567,0.7677203133022983,1.0430756369163923,0.8857738875639661,0.8513269167051508,0.9707332493974598,1.1942543005655781,1.150093596165142,0.9226733420864763,0.7446073486695701,0.6941889892523704,0.9593757799634214,0.9184866868133983,0.9941557900300698,0.81381534187068,0.7563821244329723,0.5576221558219115,0.4865059998725749,0.5812115927401091,0.5142518985182032,0.4880586154530502,0.6601081379761913,1.459067110653829,0.49893189183394343,0.5619611002733059,0.7328661033436432,0.8566659639449528,0.5004406873472591,0.7353848567248525,0.8006798258082868,2.248992379545691,3.0098083744477457,3.059237851628193],[0.5279237797553277,0.379007449414062,0.403361480768784,0.4645195404749214,0.3911158923752765,0.3990546193153513,0.32847694565305396,0.4088651609050581,0.36401485137902057,0.31564299814980834,0.38455804528653553,0.4902993933675187,0.3684882962204327,0.3717002318789679,0.4953657341788525,0.45615491410149656,0.4257430950878504,0.46564124377864613,0.5505620916658508,0.49022535876748524,0.6184370855985196,0.5916982553962181,0.6998038332219284,0.8403441173905417,0.7207395188981419,0.6268073092209553,0.47695102547062157,0.41514921204534216,0.4367071633644038,0.45162901149007284,0.5386684567741991,0.5135219115049398,0.6474423877081191,0.6082087250742613,0.5247493027803262,0.48582957024529794,0.4768586494352146,0.4776828920429198,0.432823899191507,0.4613704416112314,0.6995085502539775,0.5333365141741708,0.5366733728624025,0.6288083287948255,0.8821841782411598,1.5696831969580474,1.5978641959387405,0.9864596713981512,1.2189982182289734,1.533669829274796,1.10132567580907,0.9290657983983938,0.7324835514454353,0.6097908498651091,1.361674090168546,0.6724606216704908,0.6567874394953246,0.7609972156325627,0.8873119793660432,0.8581604030047653,0.7285222580912294,0.7561088130029829,0.678129886318874,0.8445048999927772,0.6458645539689964,0.6655464407067695,0.8451752334118391,0.6054480961984489,0.7166691235528503,0.6923053240163906,0.8632342867348639,1.1887131757202405,0.8818343143967734,0.9799730171332813,0.7042947529699206,1.1300791090173268,0.6189345350276889,0.6306861555876294,0.5701340332262991,0.5852678112171354,0.5942898265039874,0.6670190356246476,1.015071508762362,0.5185385812129297,0.5956900193617346,0.4663497430275542,0.5168816862869874,0.5805140319625953,0.5050971229557895,0.6768682102595712,0.6070562188351286,0.845273974618349,0.7005751026066771,0.6215789308512768,0.5624203138868565,0.6601788322849667,0.6082249381192096,0.5944432292059783,0.5718753696106238,0.8884679195135884,0.564906813280452,0.6844671167703857,0.48770414299559844,0.5687731398730718,0.5712591168942377,0.5374672649204585,0.8286225997612541,0.4469946874348765,0.49927075686300015,0.7589987704308669,0.44668903136617405,0.35945041646273795,0.3324848824833338,0.3391286144756012,0.36350342949642284,0.39021861156401916,0.40962123282984914,0.4482815616107518,0.5811513058618987,0.5030563141475853,0.4987288113700258,0.4404238456620542,0.45270751618768146,0.3892791631312854,0.33059660561290677,0.34160209050714163,0.49878533586209806,0.40982369464338025,0.40178474958477123,0.4179944533882172,0.42224245947895056,0.47183040742030324,0.4002604526890529,0.5059759100059736,0.44085401837231103,0.44612854010208247,0.6052529276900697,0.42979031532976464,0.4159030682762281,0.41519805166009954,0.5812512670917817,0.6453802993390939,0.5033535008499832,0.4042100947391454,0.36886599653269275,0.4068861787335625,0.34819078987029695,0.39537596359295174,0.37392781140668324,0.4201720152185422,0.49974979367424965,0.5562218135224597,1.1505771692162186,1.7226040679266785,1.3196794679756458,0.6850641200542534,0.5010555951279955,0.5074821606144124,0.43817277275219935,0.45089163393422366,0.39841567281850593,0.38124680972314173,0.37646953960709867,0.37591255478369084,0.4689561490864582,0.5825903872113986,0.4995710034214804,0.6725996202186206,0.7065636311455857,0.6893114749040897,0.4918202493365956,0.41089623930344044,0.39454386822063126,0.3843386038593174,0.36691854408598185,0.45499349625087326,0.4547058239581327,0.7481349245511525,0.459641400145621,0.5184449866279067,0.5896455707582132,0.40938033993875944,0.4143642938939315,0.42200140813577325,0.44248527278387967,0.46271839324788233,0.5025975979985408,0.6884707142088106,1.173954940957514,0.7810049857546552,1.011458210414553,0.8794871524833885,0.6962676370290801,0.6840445437170528,0.47074504747890844,0.49657571985348786,0.5365148100700612,0.45912763853148736,0.4956200071387407,0.5206265570707839,0.4966712048948754,0.5492876629171108,0.48214731003345657,0.5075424889998558,0.5641799776250606,0.5525179320581984,0.5933975364552524,0.5944956926087749,0.6549284200441059,0.5966206882542491,0.6681719468582438,0.7108171181047046,0.682377620565794,0.743515747745295,0.8251670827402058,0.8140835249341936,0.9947855757454782,0.8372446703361947,0.7124916212873909,0.7839120148412627,0.8657394602362973,1.901969761607259,1.1389877513167275,1.522424944143225,0.7348466378307014,0.7193039342169883,0.7875173290154499,0.8059067118831964,0.7376138346637076,0.5837304629024914,0.6791086505902223,0.6693812552842417,0.8424620302502033,0.6020191823240385,0.8075987164387375,0.7978227956221491,0.7569003590317404,1.1088729805621833,0.6334726137564873,0.5666137700491173,0.6282449852995697,0.7000299052288782,0.8602089992403609,0.9424848266196936,0.9483425798615632,0.7982425353466904,0.7920478107023738,1.049147124364825,0.8735737662848516,0.7374890035037148,0.9435793111045797,1.020258873649571,0.792258728861246,0.8517977591679287,1.0207202340688541,0.9382611447223328,0.8225942575836237,0.9034248080361978,0.8089980428324198,0.7883084831724686,0.7169554589216863,0.700238875191192,0.7632056749821476,0.6531492296931624,0.6653356207149427,0.6658162695518218,0.6964477087455285,0.592806334505797,0.682719068254703,0.816291813496034,0.7425216443512108,0.6903128455184292,0.7399843442651829,1.0086850015574698,0.8490171038992375,0.8304323133498962,0.9410725619098,1.161528225621323,1.1418069753965627,0.922710201476713,0.7430963428022404,0.7036269287550863,0.9786764412725732,0.912708817911057,0.9627872939625743,0.8011710554250466,0.7345380443719478,0.5402280210600523,0.47530764346837795,0.5676929794365493,0.5074522604088781,0.5083557034358748,0.7004290095465389,1.5388007725128097,0.49330486421153,0.5845048030455096,0.7713207818758621,0.8771303845199824,0.5260035200866028,0.7490093127238622,0.8425297754709428,2.4302999432588486,3.483692615314556,3.721416308373834],[0.595046113075325,0.44710163332750363,0.4660693133939071,0.5443249611783507,0.4597387574190036,0.4688075267343912,0.42396934865346225,0.4693332650808254,0.443444499473684,0.42548298997133666,0.45687425999912723,0.5209134721698554,0.46004132355768884,0.4757671114657482,0.5822571348071129,0.5487454748164309,0.5405745565201568,0.6004824376080647,0.7095597621048588,0.632608544951104,0.7816245794344322,0.7540800911815712,0.8721296888691616,0.9963488700280099,0.8487505801710683,0.7746056867742329,0.6379914123239652,0.5631922334770179,0.5537546834401215,0.53650499031208,0.647652654090708,0.5672421506246008,0.6995551717903655,0.6970470867921894,0.5983898535257263,0.5809229251726254,0.5418640536135395,0.5813138860630027,0.5707147940368236,0.579388168367431,0.7599655252856284,0.679145995848367,0.6840378571273144,0.7941621539433253,1.000025247649051,1.636573545330872,1.697307226509125,1.0931482922806208,1.3253296357212314,1.6593561090948097,1.2422263444943094,1.0796846129166484,0.8398741286216607,0.7403699316395155,1.3938505619936,0.7718494802462699,0.8056162315245218,0.8569607597894652,0.9465322129815786,0.996730889383679,0.8564565297111499,0.8738954709292186,0.8076246371378616,0.9716700892385097,0.8047793235135969,0.807652945489346,0.963996468439582,0.7193198562280526,0.8145465397394137,0.7814588509550373,0.9490940315381599,1.2248374181132808,0.9597481490208387,1.0765790296110005,0.7996972234628732,1.2444243245651185,0.7334361422448725,0.7152303240739146,0.6638387593584121,0.6905432636403239,0.6555991303360788,0.7431427817639467,1.0207883131116962,0.5526030859226109,0.7350066771812996,0.5549280439862075,0.6104569245036774,0.6529619506279077,0.6084682352385589,0.7437962379124069,0.6955494315848114,0.9706416113046045,0.8019288729666834,0.7102173125076104,0.6419079285251679,0.7228555781856998,0.6797344467870884,0.6296017685652796,0.6039394970554944,0.9251499199581559,0.6138666725845958,0.6999897087533191,0.5375657673461933,0.613567382776402,0.5956645675187081,0.5543030040233974,0.7807208898789624,0.4868471904984114,0.5233878055243174,0.7847395302600692,0.48977959408043986,0.40926175719169233,0.4223876144759591,0.46035224701228067,0.4986675431749939,0.5217924896245448,0.5431292677542359,0.600613577165608,0.7066682223316653,0.6342775032248592,0.6119469571863124,0.5597202197783248,0.6160542027143411,0.52496858715212,0.44997920695523363,0.444690974290776,0.5535725610182499,0.48024227816854265,0.46053018168243337,0.501099149143593,0.49142628473061334,0.5124680091041485,0.4947227967095483,0.567772155417553,0.5463711798826124,0.5699874008559814,0.6412835372304728,0.5308690137039709,0.5653950368311804,0.5641113735600907,0.7349594377443426,0.7976500375226212,0.6369678858349973,0.560601249566733,0.5173390909990266,0.5312580393140393,0.4857044468679486,0.5037657450734385,0.4724553972115459,0.49816442018241874,0.55149615547194,0.6173342524447806,1.1439427236465234,1.7981250409557308,1.4405278727450104,0.739190821485321,0.5520928932826678,0.5678670079381053,0.5004243947166672,0.5103193389003908,0.5100257820363937,0.5006578857996493,0.5009506717339218,0.5209607085011179,0.602065119226653,0.7031496112931342,0.620340418070023,0.7613488949136172,0.7474054599671299,0.7332544170555302,0.564766137899499,0.5397934980427243,0.5307185722372254,0.5102950355584345,0.482281385947418,0.520670660107986,0.5420741063356739,0.7544888927383716,0.552638592230593,0.5571893172375795,0.6394248239432454,0.4837118068538209,0.49552973063070765,0.531909133791934,0.570425504227208,0.604633925878331,0.6520775763324583,0.7999347268893628,1.2955995662529798,0.9020543478926872,1.1068504257415903,1.0596294028011006,0.83262651572022,0.790157919189754,0.5580702623011047,0.5598628240494349,0.5955778133423555,0.5230248198344284,0.5435332916060727,0.5591507220935631,0.5135135095499311,0.5670440704489239,0.507984925275345,0.5372558681827424,0.5778608394262807,0.5737410776448271,0.6341509432775018,0.6230761947281576,0.6645258460033242,0.620637315502574,0.6864823880057249,0.7173479423700705,0.6983953280855734,0.752052423284959,0.8198929353766865,0.8262487661389529,1.0151381356196918,0.8472111245027011,0.7173557382926438,0.7746069097737746,0.8459707938504019,1.9102668134674732,1.1206556893641957,1.522178379624065,0.7366251691821042,0.7170234274661802,0.780033067300909,0.8014344372067579,0.7319432290626701,0.597923658697125,0.6776970155183835,0.7005456848792126,0.8549296926210094,0.6298427435896182,0.896146567796047,0.8295875007473025,0.7715218805085859,1.1785958302896942,0.6427019808987833,0.5793393475105904,0.6407715945065001,0.6989748118451102,0.8565643664464618,0.9351746478781402,0.9486356523277513,0.7871119358919603,0.8039449570395932,1.054959616955282,0.8689715625198997,0.7606612635548804,0.954518157851153,1.0349700041824357,0.7973689174006903,0.8469806750586878,1.018965264076964,0.9415907062781856,0.814998869047349,0.8866482775896457,0.8010339556163147,0.7811990989843568,0.7137216691031109,0.7008269047755092,0.7659809986084728,0.6601833351654063,0.6801539964489082,0.6694988885370731,0.7052159569508721,0.6169173318940838,0.6994789078606092,0.8360273628841355,0.7709817228832521,0.7354690300602655,0.7785970768588286,1.0329550401919185,0.884394892138943,0.8488684092765757,0.9821083186553325,1.2219139078724057,1.1291534245889097,0.9391551656060958,0.7688396782964916,0.7214960816265749,0.9795046953778217,0.9385336857416817,0.9932391459483354,0.851818657524301,0.7551977762550157,0.5720560315090677,0.5177028126090607,0.6022503176857036,0.5333428468051296,0.5165722707195801,0.6714266417669256,1.5425955071453572,0.5262066304300008,0.5829149018994504,0.7642394439765426,0.851212286647329,0.5569625306772812,0.7430800184599481,0.8757536649514698,2.650270438317497,3.6666752988278297,3.8277248846046397],[0.5261873346347624,0.3956103120274031,0.43821347097506386,0.52521028590396,0.3993040998953295,0.3933534821592648,0.2992932104353275,0.39649379854079136,0.33761457594490984,0.300911420077159,0.3719983084429531,0.48858599364272975,0.3797367789660602,0.3755415541303639,0.527018804383802,0.4957271122765591,0.4672210705706858,0.5319655172154585,0.6015721682908033,0.5526418902338858,0.7164324195145214,0.6716710807377948,0.7871856668293021,0.9249924064198773,0.667681785531772,0.6231114245942547,0.5195297030011264,0.44298878675345027,0.4788108537921668,0.4885191752046174,0.6092736138430089,0.5566996411251353,0.7260897180249916,0.6943655468661002,0.5938605808236331,0.545219746568683,0.5286685302888801,0.5273223991477489,0.4838040549285607,0.5212144018300108,0.7614852538482015,0.5595818158895917,0.6034657060131233,0.6218089824468928,0.8805338868229132,1.538975308778208,1.5193504990381248,1.015234312366957,1.2352960055952937,1.4421090575254205,1.075350778659818,0.8902457785910783,0.7211210930948391,0.6179178042465895,1.4648658576850537,0.831225010897725,0.761011455589449,0.8906727618829865,1.0126029333886262,0.9130309754760823,0.7994190097692844,0.8202783836076267,0.7594238738887273,0.940461599089955,0.7314764187739898,0.7336261641622656,0.9398240505153721,0.6905575202267383,0.7962268045417732,0.7374715635909294,0.9597461671047622,1.2945767374501,0.9255614471051741,1.0144347538893388,0.7700224390126255,1.2002906401122868,0.6988476860560071,0.721785538193512,0.6519359374172542,0.6844106364472707,0.6772163587696648,0.7248018621718522,1.149830374953334,0.6354920708476735,0.5755276824514738,0.5235490398205308,0.5752348803749301,0.6522074471090595,0.5753795311237961,0.7513106494031455,0.6980382254412959,0.9186597103973437,0.7909482473212632,0.7160860613026315,0.6348651161566817,0.7268754345714546,0.6690882007218412,0.6365552392513981,0.6134706930231066,0.9351761601893909,0.6241213952975428,0.7182554854500804,0.5372220870901714,0.5933827249951326,0.5824790405257015,0.5424305504108936,0.8196973020912682,0.44244521246526647,0.4999126858251946,0.7930463462263563,0.44924645583057826,0.3538167198551617,0.3244578451721016,0.36997553875182143,0.38872385455772673,0.38981194487230847,0.4230650743911313,0.4609870803595993,0.5802082368988584,0.5252852602367486,0.5006455195726776,0.4522112327995906,0.4691150979879583,0.3860896897910315,0.3351153084370221,0.3244424808464689,0.4543024739777729,0.3961322969932465,0.3848872895887409,0.43584937694010406,0.3988291493327691,0.43406125919304256,0.38812732753587514,0.5218127104992843,0.434607476677364,0.44586578527377396,0.6047647656938355,0.41416155528837983,0.42150343722064026,0.4321928431155462,0.5833532041431684,0.6385499462007312,0.5283828404503298,0.4389179931105538,0.3973772958326483,0.43612259568419326,0.3756959046207062,0.42590272233822773,0.4092923036113933,0.42744036422191284,0.5080915870196805,0.5766913422154143,1.1827952421631978,1.7360309017518771,1.3316715791345908,0.7480021935901392,0.5412561322822919,0.5442771449284252,0.480654100823731,0.5058965833334125,0.426670063399309,0.42565098150825503,0.39848010240603954,0.399540244214657,0.4730588737394413,0.5706981749862904,0.4936901109641986,0.6543660513054538,0.6854342543248999,0.6671015588507057,0.47777579657553415,0.4221055320651133,0.3905656896597324,0.39856395295754754,0.4099775966330158,0.4876047801013122,0.4894379054769008,0.8121800785075104,0.5167415860525277,0.5750712888743198,0.6219950710860058,0.42208206065822634,0.41996423750446377,0.4018169542919156,0.4467889396184206,0.4804431413252576,0.5453821894120396,0.7054957269018174,1.1444996311218245,0.7096987718245468,0.9514695280384862,0.8944555535615523,0.6993320676183762,0.7260355296223255,0.4653292968442116,0.46016920016195456,0.49800313542127894,0.43176128117229273,0.4579382302200619,0.49602931797799327,0.4928496664312425,0.5680282065442478,0.4826023359408414,0.4855143591978603,0.5543199210299559,0.5375973123649349,0.5649951410632417,0.5676028642811586,0.6522660317355462,0.5869497545655586,0.6649162877856362,0.7146330607684768,0.6894084116876599,0.7802052418009202,0.8334756450737745,0.8062844722136995,1.0010800182336939,0.7960255419119671,0.6942750229862114,0.769821096522369,0.847410174590926,1.9995055058849531,1.1408548316756582,1.5830145897092949,0.7561636073165104,0.7528951916835109,0.7998892608019871,0.8620852484968884,0.7018187500375128,0.5830050345330355,0.7039769298344778,0.6712947751444082,0.7940812718194682,0.58311964648447,0.8566063913948222,0.6812896821836,0.6706236116720585,1.063472494555032,0.5869519043928926,0.5428885718402591,0.6627451339893834,0.7501114294257598,0.9245608662411093,0.975943468954955,0.9964672821785737,0.8390379354690429,0.8169108140328198,1.089683860566195,0.891989689517839,0.7381398649632029,0.9476254451526994,1.005869170083515,0.7633343454757268,0.8538064855817096,1.0188974580071146,0.9045756090795475,0.8291485572805678,0.9050062390077938,0.8122371820543499,0.7947855561810019,0.7318086578762337,0.7208050354499549,0.7548511900966935,0.6506216030047717,0.6851883289566493,0.6439076758087745,0.6709906532339129,0.5624287449475076,0.6384852902388242,0.7554616235255669,0.6843882985764803,0.6256532137024736,0.6819323430499141,0.9356179871211501,0.791452834338621,0.7646067980796126,0.8789093273287991,1.135608624237429,1.0348591533070288,0.8702469644767676,0.7169547906770328,0.6748780494502598,0.9374078337909644,0.8586054156573257,0.8888175393982963,0.7441840199105926,0.6699918159920273,0.5267121280397022,0.45186960468888276,0.5502984994039753,0.5118921644381406,0.5092382821970944,0.7179161367770907,1.5668277943010411,0.49248660262042804,0.5917530109128394,0.818069489559911,0.8211020638255345,0.5446114195491837,0.785482705370655,1.0030351344470876,2.9694479279507,4.271638845051043,4.6582300811276705],[0.5431275972716477,0.4311565559178958,0.49278122095992205,0.5590738051708886,0.48324829949964687,0.47318201731975734,0.3850323610066638,0.4559449514639349,0.42025851741223813,0.4098045890136986,0.4657228267607124,0.5575844643056913,0.49513201461684947,0.5030392197282529,0.6287398563801625,0.6158809151981334,0.6073060108642813,0.6805424425630188,0.7412537483920012,0.7016142152095721,0.8932864949674636,0.8435959126006737,1.0371146269251357,1.1352330476589916,0.7841736909788666,0.7610100122481784,0.6803281994192314,0.5898952256150695,0.6179251283591981,0.6045373021941055,0.7370041204936603,0.6663607471002997,0.8529514893640336,0.8302826899193507,0.730021669518631,0.6796759728562376,0.6441788137702407,0.6466307365666445,0.6212801441211695,0.6272037341195202,0.8540944429087005,0.7084367054529893,0.7405246049732656,0.7701671672627909,1.0472431232976414,1.6201354936361452,1.621000619226979,1.132027679511911,1.299733350801619,1.500606568116711,1.129744869338885,1.0224351915202883,0.8487186267495961,0.7261429950173289,1.4800203704883161,0.9559682941365176,0.9196671108196499,1.0150802220872646,1.11567541413015,1.0626742251617034,0.9567212849321423,0.9793428786434142,0.9352152445908861,1.083168955791682,0.8923056427355068,0.8959102988194255,1.092203984479685,0.8200968569613184,0.9143035410541742,0.8496313419995346,1.0257584956584018,1.3357841739646887,1.0244763806933106,1.1656506872642205,0.9014543866665331,1.3439900036197372,0.8692742190311764,0.8902913104248291,0.8153920948531876,0.8345293850607711,0.7956827867504705,0.8320837988602885,1.2217171771838,0.7208966012221034,0.7045645756125912,0.6358742368248395,0.6979951704330697,0.7772737162359837,0.7241154909666679,0.8902066481707172,0.8322341135370893,1.071543050640928,0.9430656460621002,0.8604276964078535,0.7550103688151373,0.8342878131515151,0.7650247283730791,0.7226259755727638,0.6706345398902915,0.9917985001620372,0.6936062037590432,0.7514903446861274,0.6052921706791178,0.6465443696675711,0.6179045807846346,0.5721378165723896,0.7718257017590349,0.4624686098534692,0.5164654526355102,0.7914621916860236,0.46328996985138543,0.41594988549041484,0.4098976701996639,0.45785500525525974,0.5075494576067328,0.5202750571586392,0.5503806491550883,0.5828061335438328,0.7438981741166335,0.6677398438278642,0.6436954674708437,0.5717810802822663,0.5697755973455403,0.5182977670930645,0.4391058202494595,0.43131284611958864,0.5348187171566501,0.4487176006395188,0.4323804295351585,0.47699396388612286,0.46162775156521585,0.4620913189200398,0.46200847047121024,0.553639583631524,0.504867027834829,0.5172607529914578,0.648502065288939,0.49837375299459497,0.5216385373610597,0.532921085478204,0.6930854545496816,0.7826530293480258,0.6501370812210127,0.5556172449696768,0.5412284163848308,0.5719158048397156,0.5012471707612404,0.5448592236674453,0.493072925946427,0.4715548454234249,0.5262338892525916,0.5987660349541692,1.1855791143915606,1.7786849930483337,1.3722237403022142,0.7726097292375248,0.5820205294107578,0.580272826636532,0.5679262583928558,0.5545997084932367,0.5142019823700412,0.55433778032628,0.5262663535532299,0.5452483314558673,0.5630185875267242,0.6511503527456167,0.5786024529179232,0.7362502546075985,0.7200178590314522,0.7102452533535969,0.5482170104277964,0.5070840533230841,0.494831080406124,0.4990235203894784,0.5229843085514243,0.565419675915849,0.5846020711746461,0.8657450115287089,0.6182044754269116,0.6403990175111445,0.6845756033549676,0.5088269465354772,0.5250002071493756,0.506027514433881,0.5268666195944882,0.5925398269061807,0.6690392513936494,0.8143592386204689,1.2180251646062652,0.8118042899389072,1.0265380824800585,1.0140705430779782,0.7510672114009027,0.8068780150286708,0.5507774075987051,0.5197409761398625,0.5465039514317529,0.48560324193776294,0.5054997802142034,0.5381966929345441,0.5039388985345784,0.5611644948388684,0.5003371119208095,0.5210134342835142,0.5768698764087374,0.5689607511240895,0.6155322719590767,0.6002990086077316,0.6662554479007192,0.6209550069100302,0.6882460276649275,0.7335083725354177,0.7133809881956323,0.7913585434238785,0.8368938377150951,0.8170348121482808,1.0196630398738076,0.815523101708176,0.713008184309066,0.7854851547385145,0.834006069754442,2.017458592291171,1.1203767584613078,1.584391140228988,0.7448873147333396,0.7368352579304414,0.7881552177621642,0.8635601271463501,0.6997591928617402,0.583015954392222,0.7050772312700035,0.7046138151854356,0.8105642447143669,0.5999624449173928,0.8721550548827194,0.6938816857186605,0.7139956596463668,1.083784588569928,0.5904246917416374,0.5634947722790868,0.6937447314944117,0.7503301411131131,0.925363131580035,0.9889665997571379,0.9990161896599462,0.8291649490678088,0.8169129434448242,1.0829663796786249,0.878595014393977,0.7613592404845602,0.9552754423259504,1.0069597469224456,0.7675814342282916,0.8576709638834488,1.021831521834539,0.9042963369586862,0.8369495444123228,0.9032385043860194,0.8114803711523761,0.7882599805245716,0.7308891663639789,0.7191011361498536,0.7647126431210891,0.6571759153309018,0.6952908470673488,0.646912708229577,0.6816897844795498,0.5814095341706591,0.6466692428269223,0.7788447808609433,0.7256279630210964,0.6633907620361926,0.7264080538776734,0.9727914258394469,0.8511837975203941,0.8142901250286899,0.9395857628523183,1.1992252016526015,1.0656131066063046,0.9122945019335628,0.7483426863416868,0.7097425666706259,0.9794011699955544,0.9152627286398961,0.95248477909637,0.8109603707347932,0.7096337382145484,0.5833982925397452,0.5014527441317393,0.5749293321397931,0.54488410070235,0.5350173733344298,0.7522677365482189,1.5769661052435848,0.5274336345630933,0.6411825963167371,0.8934056200058819,0.8352959514642895,0.6042405740743869,0.8125046367158537,1.1113553785468662,3.191863448834377,4.528193513280643,4.958691383948208],[0.5562242131045885,0.4283814306536073,0.4713379205663255,0.5556272559959924,0.4270808786174673,0.4212767588501983,0.3426162361806955,0.4575470150717233,0.393578922082952,0.35668515484577934,0.42550419861561223,0.5596188795949906,0.4607084951057558,0.4214618087275793,0.5947346088577669,0.5831719566628385,0.5283771004876278,0.6199990970453965,0.674545364675544,0.6343947717105,0.8310029975451432,0.7746768532158373,0.9510049965010198,1.0507652721724492,0.6682480720786385,0.6596974159965246,0.5919553906076416,0.5121697208619721,0.5569095403997937,0.5667459361456729,0.707714179012492,0.6558687711330509,0.8326576872167524,0.8067672037720443,0.7101493747800104,0.645400625919019,0.6315031821434676,0.6065067790338371,0.5715381928999567,0.6022431757199943,0.8299637771874455,0.63684300889512,0.7008688696063434,0.6696261419727281,0.9379958031513923,1.5221083511895672,1.4696381207568223,1.0732414945373638,1.269235119806493,1.3750390560378356,1.0692497577758817,0.9449049951556819,0.7775707353228263,0.6804542717678099,1.5684403337667459,0.9890586607593855,0.9009576819142051,1.0173901493971578,1.1262773248369344,1.001837825782785,0.9085050827849193,0.9148958142548566,0.8665365584833288,1.0353780729332012,0.8378462162253772,0.8433990900340353,1.0414701751988573,0.7842029407708236,0.8599345939315862,0.8071832951089437,1.0222891662648694,1.384795889492591,1.0072176873942187,1.1169189954442065,0.8640937152050165,1.3168470515882118,0.838447322701078,0.8654065447957076,0.7872026085746521,0.8009894220892857,0.775376052836781,0.8191748557651612,1.249964499613502,0.7734161804562264,0.6347886966317627,0.6177458032231633,0.6650663732730492,0.7628740724520983,0.6909911670010684,0.860994296442398,0.812035038538161,1.0266824787509128,0.9080123616217862,0.8261870692663281,0.7247826212851022,0.8056300045605203,0.764690574106332,0.7158440372121035,0.6804721357889139,1.0201791449241053,0.7095506249809508,0.7816015491808426,0.634303081726483,0.6967045441026395,0.6603272354810122,0.5914840162941932,0.7805421683783704,0.48020928959516523,0.5290924185030327,0.820121539929799,0.47703435809630995,0.4174073938975468,0.3823701342307306,0.43238180291198225,0.4498486968372359,0.4374490893966173,0.46724716602118377,0.488391283932549,0.6351110575263487,0.5937713012554334,0.5545171650690727,0.494978434541082,0.4593291796939666,0.41495405749106185,0.3621091745609552,0.3597539153834136,0.47702583531534787,0.42316941734482827,0.4231200717160091,0.4867700008560935,0.44256103745199105,0.47633489821496433,0.44614300703847726,0.5737146739431933,0.4872314332096373,0.48997169283242387,0.6198401003153801,0.4243933426030348,0.44469384975139287,0.4615772623179128,0.5936297557502952,0.669419049164496,0.5734055960951118,0.483642551397677,0.4697527742804894,0.5200657701091036,0.4425907786417295,0.49348528740569014,0.49186656893058767,0.4695943825492721,0.5620368573177845,0.6310762522621727,1.2127553542280916,1.7791005811636873,1.3652095663294657,0.8241612984796539,0.6172441877093736,0.6341308904526911,0.5767108601277856,0.5782179014925757,0.5058996034816052,0.5254359670388659,0.461215004470346,0.4930433173881895,0.5094198050783021,0.590088634437204,0.5388955552436708,0.6573100769933508,0.6747074536025851,0.6678254116948827,0.5118129281040877,0.45313544531929845,0.4492217238258344,0.481676964826426,0.5316732443417261,0.5947228945560782,0.5949957454248364,0.9030795022160003,0.6414559527128219,0.6807629901966953,0.6846388679873285,0.5183142228218608,0.5179757468657803,0.4700515845690275,0.47119924795136425,0.5338022481094067,0.6275924207886093,0.7869511882154603,1.1412672442672038,0.7220214555882256,0.9476453286024494,0.9561837880284686,0.7216705072936695,0.7804411192981926,0.5085630455375982,0.488206611245533,0.5125658928360338,0.4726803954436261,0.49274785305914737,0.5070927515672736,0.5317148465055677,0.6122015360989106,0.5199056786979647,0.511360897767966,0.6032122571220415,0.5917795997117763,0.5840986062598668,0.5931833081781462,0.6956672971572295,0.6299298068786733,0.6945119536053027,0.7471983291757169,0.7440801194158653,0.8346092697631855,0.8580504249399568,0.811292581907879,1.0213554449239048,0.7955731677209634,0.6987742420935901,0.7825423268214686,0.8193621958683674,2.082290684322596,1.1316770331821375,1.6462067305400525,0.7955072928626846,0.8064948087523375,0.8586236824026052,0.9448524867563243,0.7265799581239781,0.6348830150463115,0.7659234455192098,0.7406403787373097,0.8055770788842151,0.606674596051187,0.9209439992594577,0.6384976435966163,0.6624061704503417,1.0174452200473811,0.5855539158651916,0.5910412880012312,0.7538862847831747,0.8270178596591053,1.0016052452180864,1.0469829572063807,1.0580413735306577,0.8967402808638336,0.8819234943138204,1.1409788473507876,0.9323556334547499,0.8069384554819832,0.9937629266852748,1.0311105168671346,0.7970762825638626,0.8991909169753391,1.0593914106720892,0.929352892209417,0.8778190748560061,0.9410133681145829,0.8426547242558862,0.8402964132990505,0.7857855739542318,0.7764890297581588,0.790622133498203,0.6760723496623369,0.7163619518037088,0.6548325927196995,0.6821494080350016,0.5800365838473851,0.6323589484963203,0.7559841136674431,0.7049262026803977,0.6157456592978986,0.6865101552136954,0.9094048738141123,0.7765980967076677,0.7442506335616208,0.8624865996432509,1.146277820951571,1.0025588724056327,0.8519400613671101,0.7188272147316055,0.6797499445305292,0.9317505190862433,0.8283930924502108,0.8458644964443204,0.7105335271654671,0.6380636534366675,0.5256888438753954,0.48401465646549713,0.554583924846018,0.5485662802614744,0.5627113454491266,0.791637675646948,1.6128631400022255,0.546419338111335,0.6701009759058975,0.9475050461720465,0.8258385222135284,0.6177846645629357,0.8591807578114079,1.2556034663508182,3.409723489275548,4.926940267712491,5.522865079985017],[0.6746652188764529,0.6422123881042645,0.6676131150139699,0.738073026655249,0.6580285390445643,0.6738199373636404,0.6143194600164098,0.7379242703474443,0.6817341964170386,0.6439095317124037,0.6927986169080452,0.8384136705497841,0.7435328580455661,0.673708312147303,0.8221403650854182,0.8355339372612801,0.7793770639309905,0.81543682900499,0.8185829348125567,0.8154335276262721,0.9734446038418523,0.917339048221511,1.091204445824469,1.186968864652172,0.8391743229143954,0.8275976176480992,0.8223501344200465,0.7537217963664228,0.8044020831558181,0.841809419727491,0.9373692711853351,0.913913490958017,1.1036937694143885,1.0608298288642803,0.9805094592284794,0.9060133390273273,0.920483397120421,0.8401214417790918,0.805139266024926,0.8536827124856862,1.0413360078282425,0.8263643962864363,0.9066399334666886,0.8335092430544735,1.0290195154356707,1.4945833404828925,1.4280521976487666,1.3040870302765497,1.3482590172142914,1.310088890964772,1.0116413098555455,1.1177622680380945,0.9554728077879022,0.9269043802761873,1.6567097576065164,1.1936652592332029,1.0801207450991936,1.2004724999695993,1.3044378945341661,1.1309259858356913,1.04927909102116,1.0932114252609755,1.0838406150788416,1.1548522581754392,0.9873302143593168,1.027904899560018,1.1525520582328097,0.9219317047888951,1.0090009199413832,0.9349914528029363,1.169637968430666,1.5235139055887057,1.1132318643573211,1.207928864347694,1.0062910916006789,1.4503053011613338,1.0391332842856398,1.0927553015211762,1.040857784382298,1.0387767897858589,1.0290003805447756,1.0512694210564244,1.6098085578428143,1.1314130832083695,0.7880062703471975,0.8936115237789017,0.8958548028561022,1.0646125816802807,0.9428594695085567,1.100750591673017,1.0258293014496631,1.203619330938116,1.1144172382953246,1.062837099955822,0.9613105241920227,1.0131227543500438,0.975125112800758,0.9719697899292554,0.9517260793591141,1.2496046523353554,0.9923705922723429,1.0699016196932922,0.9369009191287784,1.0076681768042988,0.963054316318836,0.9190759357558604,1.0131039189630686,0.7788144475484621,0.754423809605277,0.9855328267614681,0.720587788285623,0.7378461107691543,0.6958496183541534,0.7343556764722703,0.7174751567086338,0.682485538437371,0.7164997308529766,0.6917215153754335,0.8417152133870828,0.7790721074791331,0.755298051670154,0.7440882609135684,0.6702501647040543,0.6470576976266533,0.6295976518148878,0.6344172178622814,0.6694188872597943,0.6602492929779465,0.6805587208758382,0.7518836541586393,0.6803392724930498,0.7424740273302147,0.7156233186493218,0.8381795990875381,0.7100808879519548,0.7159476843804129,0.8007541835808727,0.6681929608699353,0.6750468990857948,0.7064980992200343,0.7235454041433531,0.7965903608833205,0.75557762144041,0.739216461708343,0.7481036998566765,0.7722577595425498,0.7251013147504785,0.7852452781672042,0.79917005289289,0.7714892406288257,0.8458582696332058,0.9013557463950586,1.466259410285558,1.8682127545793812,1.4263197165536634,1.1065329480517054,0.9164389766940507,0.9513339325592638,0.8913939032376943,0.8993502503663136,0.7963001099680522,0.7993350383312199,0.7479784520090154,0.7423885452662295,0.658330657493122,0.8253654600915105,0.7585845828191214,0.855938726736041,0.8688477199362354,0.8630764703304484,0.7571118700740822,0.7056263445055413,0.7126108368362117,0.7717775397294765,0.847855347110067,0.9118089011612901,0.8985271362514367,1.2288309008741904,0.9315237600105941,0.9600687512873105,1.0227064467746247,0.8256553934713748,0.8198251547001368,0.7796539242448147,0.7584812106915182,0.8075234958722186,0.8580910113161196,0.9100524476728675,1.1637379787024171,0.8175894742175474,1.1377062269192941,0.9837003117930118,0.8349886372949672,0.9985932372297963,0.7056231003260104,0.7277670671871813,0.7049031335158897,0.6778457253784081,0.6491904147989939,0.8097334599976248,0.7393465407255868,0.8232315749273894,0.7487853087975068,0.7053346814977651,0.8084182026438501,0.7985046960947992,0.6923317958791904,0.7455762474254848,0.8782521022473637,0.7866725587132128,0.8287713256130448,0.8953969093208907,0.9042055612571682,0.9270390074825618,0.9690549660597014,0.894568229664029,1.1871904244395273,0.8810441773531938,0.8204110073004192,0.9170627723781003,0.9360449658138388,1.9938176626800264,1.2515749915789212,1.9677318778287731,1.0819782220092051,1.0518110905887583,1.0656870741609563,1.113738758570467,0.938695825441671,0.8513260924042746,0.943056681391347,0.8963845634720176,0.9037479976875148,0.7728846932038363,1.0698218888749778,0.7978686822944187,0.8415810376304634,1.102917387443201,0.713857111554535,0.8277351381643564,0.9479485190228332,1.0082594827511027,1.199731687939628,1.2941667404678538,1.2884418625050225,1.0800274522224507,1.120695769987573,1.352796102830572,1.1543368650136034,1.0171981876482743,1.207777651484917,1.2265918830169387,0.9840995633685244,1.0955349565770363,1.255521048602718,1.101220011288297,1.0412059168861576,1.1233952533140337,1.0326850193343018,1.0498283151625418,1.0034650073617977,1.0039080531587334,0.9715743280418109,0.8648973334882749,0.9269077817514508,0.867405859688666,0.8720582361495489,0.7978666945572933,0.8562015067379714,0.8807464690302881,0.8461661404100077,0.80862613389174,0.8364850311498276,0.9888574141483859,0.877269254474146,0.8297196064747063,0.8972849303749848,1.1041663105212758,1.053902943433009,0.8604522236965607,0.7720702792655542,0.7301376388814458,0.9016162022114241,0.8059859541562917,0.808328857215384,0.765748508813191,0.705962486819031,0.6510044045210351,0.6469913354737882,0.687073586803731,0.6968591528385087,0.8358963600528665,1.106607282136558,1.7116821431272757,0.8024876103526338,0.9279394908273627,1.2027895717668735,1.076487793142708,0.8291397405950804,1.0321992017531787,1.5293701018269177,3.642837980044915,5.2997095437500255,6.0793391059825845],[0.5941043189304981,0.49454992120586966,0.5534179403667819,0.6193824296307407,0.4705164691751212,0.49200448719273987,0.4042167551076198,0.529094341002327,0.45479209873332527,0.41285745056633283,0.472413153525272,0.6420768543161444,0.5322462002514697,0.473530967385812,0.6430196285114707,0.6538433275697132,0.6058182649016323,0.6841855760374331,0.7220386048237984,0.7017782007557892,0.9009180162088413,0.8345474132074504,1.0321610836781436,1.129883846076952,0.7193365606304747,0.7142597170513227,0.6710670995627921,0.5885922966724926,0.6364546767737044,0.647339509699606,0.7758513387236108,0.7312320139229849,0.935266798451751,0.9017866268779992,0.8005274562509411,0.7302410780513824,0.7259173970116175,0.6856220218590346,0.651656141585856,0.6824527684882268,0.8857964701366944,0.704640635529454,0.788651421667302,0.7358376003539088,0.9442815688046422,1.4741718277033373,1.4068029599155472,1.140080142142098,1.301698675449925,1.31954973868827,1.0894414909040813,0.9947893742323956,0.8488524582354217,0.7584389194692517,1.6427390754480231,1.102501148984537,0.9967866686270704,1.135425326024,1.2374402012009835,1.0777755894871532,0.9792362170020766,0.9798198933550643,0.9477120326211937,1.1235563564558517,0.9083979837393708,0.9207957286207322,1.100543958320234,0.8429784738565232,0.919214175717678,0.8485550251867854,1.0982505575019665,1.5042459246602495,1.048795003564649,1.159009296405299,0.9147756047371964,1.3733962620001798,0.9206070689295577,0.9451743150753146,0.8805618726375422,0.8972927345786887,0.8639026482451998,0.8974358875273886,1.3703400069815097,0.9001343714051434,0.671303955170703,0.7076275766310279,0.7420384881980087,0.85889786552298,0.7822964072060269,0.9516984395152787,0.8795160582090588,1.0824745294758866,0.9671883483423792,0.9082939747225851,0.7991111390256609,0.8629168410495736,0.8201412704331663,0.7951277092276725,0.7599062403426838,1.1170218355629513,0.7926561075901506,0.8599973606907441,0.7239251855615814,0.8043172071492216,0.739146276275613,0.6704285069698063,0.7955063289698528,0.5676841451061962,0.5795391142646575,0.849585577568263,0.5272474743126048,0.48235443391667754,0.4526246566599763,0.502931081406397,0.5057986121920017,0.5034573414778826,0.540721760270983,0.5472397345265347,0.7030305302091738,0.6465276678477645,0.6119677865826009,0.5502913462612499,0.504789795822708,0.45959165207292896,0.4184047885221742,0.4260690365550691,0.501336502717107,0.45556830038542345,0.47262491180189153,0.5422899799571497,0.48365780196892894,0.5308070039539412,0.5143133575752162,0.6534361152738365,0.5398432695154117,0.539900790393469,0.6388799973743733,0.473793468227474,0.5024355987989777,0.5234000825054507,0.6146318690789064,0.7015727992470558,0.6336887196597846,0.5600746853679901,0.5597965019909118,0.5980769750748589,0.5244618792709189,0.5711008725799718,0.5788447022328134,0.5410605318352106,0.6482028579715557,0.7071248744555777,1.233937421056654,1.7709783617051362,1.4050280730283362,0.9135323708964367,0.6933058476495815,0.7270614992801059,0.6710092302494413,0.673086397324556,0.5947840346966748,0.6063210244473973,0.5396176406654781,0.569507276986543,0.5559316134486653,0.625492969055477,0.5858147733877015,0.6830056149240414,0.690296588935068,0.6903221078141074,0.5613148380312816,0.5226395084504841,0.5302951455353976,0.5875253504145356,0.6418744391231737,0.6901823941591448,0.6922868888356062,0.9967592149693493,0.745603867480939,0.7712759388492961,0.7815237063193383,0.6110146636163201,0.6098932684462376,0.5694085472388428,0.5628491204472587,0.6363793946931243,0.7062825656598407,0.837413760465424,1.145816947516757,0.7263359554472909,0.9801811873678001,0.9468630901081971,0.7314353336244357,0.8382629385892797,0.5743543308572643,0.5398130259839201,0.5322430628245494,0.5064880831451468,0.5036472888220451,0.566380940279182,0.5744553673145751,0.663773676474637,0.5652149737116449,0.5507473134626055,0.6643277112963387,0.6578952042158214,0.6018591248502642,0.6323842249463721,0.75788312406526,0.6860977424584189,0.7371906254766188,0.7925261224749861,0.8104935387058342,0.8808667373143169,0.8894180277065742,0.8324068555550573,1.0676964251871843,0.7976887983395051,0.7255939392820762,0.8183092510152924,0.8479134939148771,2.138997584378464,1.139904961412691,1.7292232400224061,0.89126155980334,0.8918184457571919,0.9283978163075296,1.0248555275982323,0.7985297591350812,0.699830235921138,0.8151455022172546,0.7991137806493561,0.8204098366043825,0.6516734896480791,0.977620273860588,0.6375043708810728,0.6846006949312979,0.990676976965672,0.570139985949486,0.6448746240835447,0.8215135898711318,0.8969608265192235,1.07925438320731,1.126443289702787,1.1499254990242191,0.9601023882245967,0.9653267372730445,1.2051834969192114,1.007903831822551,0.8857375752224879,1.0707764046098454,1.0957285953007752,0.8620512925329776,0.966412727250481,1.1233017627370876,0.9873322630507386,0.9380750619700872,1.003842427966863,0.9077659837379766,0.9138185356998867,0.8601709030091388,0.854402872658345,0.8519442739702201,0.7302656329052614,0.7615363415152301,0.7121492400595224,0.7361939201533996,0.6340244014805703,0.6762963499210347,0.7647705203824914,0.7392513199212174,0.6588014696772054,0.7166442344369253,0.9201196626540299,0.7976864678813819,0.7423209437110866,0.8474528253930067,1.1465015641253844,0.9675578180356899,0.827918561887413,0.7159696813724449,0.6767943688433345,0.9183370436449626,0.7955183437272652,0.798588359236083,0.6691104676414292,0.6113033273870724,0.5309010411086867,0.4928419470954002,0.5317019370013533,0.572527401221073,0.6412028918600727,0.8860440167153194,1.6322243582246543,0.6254563144712126,0.764788479078149,1.0583203084249706,0.8707498407882557,0.7260297581520447,0.9544407563810258,1.4715314312347043,3.685213486773576,5.318079963406106,6.106969368491497],[0.5046533443752642,0.3889003691143671,0.4402044610425082,0.579668258059047,0.3941152814872132,0.4127082545917586,0.31370296904399086,0.39347145191529087,0.3341982805703806,0.3206226023912163,0.3896260386308019,0.5561679260211247,0.4453629698497767,0.41416644789214035,0.5811866961377343,0.5969101074781814,0.56045001659196,0.6577686970196759,0.7193288672776936,0.6837905521959459,0.8929478780186282,0.8271982869836597,1.0512925438078313,1.1446720346947203,0.7330887736897556,0.7231475236147185,0.6672601128742197,0.5625535589619054,0.5997652898607098,0.590960394820753,0.7364251496454166,0.6719750718397988,0.8727772287377639,0.8571452447818237,0.73842798361039,0.6835861003328313,0.6603201757084995,0.6339638295406608,0.6025737309173138,0.6208361104027318,0.8549608857677932,0.6842745251474615,0.7492630753905378,0.7179285773222126,0.9772389239058038,1.5183439136389534,1.4773652737848564,1.1407117170291075,1.2740546889424968,1.3478162767355417,1.0926976621286921,0.983881377980625,0.8208560121512901,0.719796574558937,1.5562233082337888,1.0336658817611453,0.9499578874353294,1.0715964105393467,1.1745445105433816,1.053626425042149,0.9484323937485721,0.9595618151363746,0.9262485800799073,1.0957068075613587,0.8931404517590367,0.8923547985222544,1.0767687771674908,0.8175912388999437,0.9065038937412293,0.8268619825290526,1.062470516113949,1.4290896573085676,1.00545096625409,1.1304939447766151,0.8911898540931622,1.3457123227305938,0.8815991948148372,0.8974218834618208,0.8307296586208844,0.8546862061866423,0.7965801210099874,0.835774641734648,1.2869722675998188,0.7687563985593794,0.6606691626659822,0.6297095650130464,0.6964946813797742,0.793434863370835,0.7409673617001514,0.9103137954937751,0.839373693437064,1.0682958263216495,0.9372021372397126,0.873498558187308,0.7564405114205313,0.8288547448689606,0.7427619381838664,0.7375085790494043,0.6778319996535805,1.0614917428658381,0.7004138999702652,0.7390606289544915,0.6181728246846706,0.6724921005906057,0.6271154069130039,0.5660266008773337,0.7024749199805561,0.4397149725230012,0.45836316264238697,0.7304284163068735,0.4104857350118617,0.38818351967588915,0.3640754923860855,0.44540849207353095,0.46549367987101015,0.47932783207976304,0.5222066752732196,0.5354593495191649,0.7003836181873992,0.621465800123201,0.5947391871315967,0.5412084406480842,0.499621571731288,0.443375364001373,0.3589058508388531,0.3575308059284301,0.49001528126911476,0.38200878764877355,0.3762494917521087,0.4380472626171744,0.4047882135160527,0.42362655961318946,0.4189335732835728,0.542873467125788,0.4472701206207081,0.44650429578740175,0.5759660033642892,0.42737488565471604,0.46046420233555385,0.49453713473799943,0.6141657090778269,0.7131187250515667,0.6147108579085405,0.5340452147687396,0.5276808326133532,0.5465960399001151,0.4755878450992105,0.5062007540681693,0.49919941378306715,0.4561030346435002,0.5367616294241171,0.6065489100401987,1.1260004041671738,1.767657033947861,1.4632920420420639,0.8165904171578814,0.587060521300636,0.6125197609955604,0.5763760590572892,0.5678325766965107,0.5263585768641685,0.5418017454042041,0.5016440708604415,0.5203097257812233,0.5231707061469077,0.6043324812063666,0.5400730520734823,0.6749700608753428,0.6481545894646402,0.6522203706694554,0.4970034608410164,0.4661726179322293,0.46358374309557704,0.5025272316548843,0.5432000465508154,0.5830413031933372,0.6062194870045587,0.8906027529939584,0.6406634148027233,0.6779571964931098,0.69866905481252,0.5218561971269619,0.5355857603637358,0.48884666888714146,0.4942774804871348,0.5879704175985185,0.6667784578452961,0.8182289344935999,1.1454601042424806,0.7418858140336984,0.9869794015123831,0.9653509286845032,0.6916906194474727,0.7809532707062821,0.5090791033318698,0.48862764699533506,0.49211203977157153,0.44080690590623056,0.43061573255653246,0.5189289486106176,0.47159735329026903,0.5433085977516523,0.4655514571448324,0.45972117594463313,0.5449439440435329,0.5478370074806534,0.5327299784649265,0.5346301411627592,0.6411498944756209,0.5850415327735033,0.6362352985218472,0.6714995498042455,0.688574860915776,0.7738354626971651,0.7654989353683359,0.727599322276896,0.9431392497896495,0.7103784052335593,0.620697492395867,0.6936100015437731,0.7185047520447709,2.075128411257627,1.0415568935641306,1.613452740477642,0.7503708690615759,0.7616073271617577,0.8019414046228148,0.9080900566388415,0.6693727179963747,0.5665025554200092,0.7017586994640755,0.6903805774511774,0.7216742327445925,0.5464764304065337,0.9290971113648974,0.5978449031311648,0.6429973923663563,1.0187125072366723,0.5057966138815023,0.5647941499726473,0.7180302948938752,0.783275485778823,0.9780144610503095,1.006939393135769,1.0424472915862781,0.8529858037691087,0.8447143136574595,1.0982199722785908,0.8945846921381763,0.7759018746792735,0.9568322428880397,0.9912467772475386,0.7570173896714465,0.8447995157745044,1.013780414025529,0.8830224770053875,0.8196068182401268,0.8767350569281495,0.7741843750375237,0.7795300117123779,0.7338745592976016,0.7226059563326239,0.7128016502855574,0.6016641598790359,0.6466902739716464,0.5796652652265,0.610012283827575,0.5208882430294559,0.5604092664090966,0.6630500252926687,0.6535546918379396,0.5908522900413404,0.6416695893408279,0.8487847580201165,0.7468514553717116,0.7042020039783675,0.8502165569101001,1.1635422677944578,0.8981761787249999,0.7887133891235933,0.6541110366561033,0.6118006836821442,0.9057422446882186,0.7782330548580919,0.7972498366534962,0.6904848777738494,0.5892117019648662,0.5031281277048109,0.4453168918410055,0.5053865800376249,0.5080461829773147,0.5062421377595707,0.7539284542288065,1.5863448437835765,0.5103127681528838,0.6422277369713147,0.9707014655050099,0.8021956434388571,0.5891344793180137,0.8228380515371556,1.439898464281287,3.7124982432997937,5.209587032713705,5.956230015043775],[0.47779331201769343,0.37321529806182574,0.4469016699410573,0.5987749567072388,0.3948133620081186,0.40672882897908225,0.3081333037660142,0.35884526835649116,0.31380059900012525,0.30610068569135385,0.3653911182818778,0.500594571467676,0.4087536906586467,0.39397872410702967,0.5430327761733783,0.5431832940957837,0.5164169920831206,0.5932195746676576,0.6437580119666672,0.6082157611078224,0.7934063615217246,0.7323181670706607,0.9127590348671829,1.0279099114425918,0.6715433951774483,0.6597625449882774,0.5997655344785775,0.5102788417731359,0.5441570716448386,0.5315349642139235,0.6556855421747195,0.586690298526723,0.7663124182959385,0.7371658406985663,0.6349952087421606,0.5998872843508476,0.581347979633949,0.5696799023918379,0.542811042633026,0.5607262525348407,0.8129877052264942,0.6201295976441162,0.6747482864589649,0.6569822327183149,0.9129757334464039,1.4935658726300678,1.4368302303935305,1.087394063905524,1.2467325196711658,1.3441936774444982,1.066665087470673,0.9405210632347456,0.7589336338536475,0.6637055038930625,1.4834230570557707,0.9181758197542194,0.8593569852653917,0.9581070366108683,1.0541729178322574,0.9797261520259984,0.8694876953920208,0.8721352594755762,0.821435005459011,0.984243070291047,0.7834809111788478,0.7944776793755425,0.9836006300955906,0.7284070751414217,0.8243609660781736,0.7564038838016147,1.0148463090896958,1.3725565210094886,0.9426495744572386,1.0322885926462557,0.7978102389810943,1.224804490958982,0.7587946448241265,0.7663793613492802,0.7161993427833099,0.747327130050774,0.7055767872972998,0.77297593674342,1.2039850245752097,0.6789998500700952,0.6318898868841845,0.5678625648854918,0.6252715299295524,0.700256395556074,0.6435553595386789,0.7983154339712318,0.7280667808549709,0.9529724775488497,0.8144964592785868,0.7409697617120351,0.6661165182538271,0.7404249890555827,0.6792695179464316,0.6554478499272831,0.6058230325792937,0.9780581356479663,0.6166793278802469,0.6690779447964882,0.5389917793625617,0.6039403154518315,0.5619797617206876,0.53373664507605,0.6574308842969848,0.40903341380090696,0.42595677337041266,0.6974035656689141,0.38089537313205774,0.36844617186529244,0.3478550092942488,0.433689302204809,0.4493204050849766,0.45458112589245214,0.4823813760620217,0.4946428594956298,0.627932163345702,0.5793722183605877,0.5454261853216991,0.5037489217517409,0.4598016177700903,0.42372547710142383,0.35636976682985455,0.3514598185175274,0.4871081299169753,0.3731744215894818,0.362452217763888,0.41324578746221335,0.395288316736226,0.404870365193898,0.3994862485560665,0.5103097453725757,0.43456125607564766,0.43601800667486584,0.5768731039137176,0.4198165748839018,0.4539845219669924,0.4770596868721508,0.5866521826048093,0.6646346579335285,0.5689622300726365,0.4957769887481566,0.47597817431787787,0.5030920634174603,0.44101490719016023,0.46973128706437867,0.4628716584327324,0.43141044744148205,0.49625735695453244,0.57017292444252,1.0467187882779414,1.7419891753439773,1.4968500988861784,0.7381894875179911,0.5293372429617835,0.5473019613374044,0.5166851582404828,0.5236255547693796,0.49353197014853334,0.49512686905422054,0.4649699118236466,0.47337111431858314,0.49735255201723244,0.585845525943715,0.5214529408309988,0.6559547755815969,0.6416265035514584,0.6462647380286328,0.4875902509395248,0.4493727066420505,0.43189068882831555,0.46462034676299824,0.4918576364223112,0.5257234842795967,0.5397946779687324,0.808342971617377,0.5759067468256409,0.6105357772815969,0.6640465712990054,0.4740229127286035,0.4909391198490437,0.45381187230398734,0.4697026958607534,0.5539981832470469,0.6194512525211461,0.7828173777167166,1.125856899414805,0.713181872292567,0.9675280638078654,0.948473387107136,0.6821293662804362,0.7714655893678909,0.4972190901700333,0.47954188421685456,0.4898906183910504,0.431710792900165,0.4177961336604403,0.5160838127060304,0.4474193284402389,0.5072588240475323,0.44417819427250144,0.4450592199169788,0.5191389370181259,0.5302533513365657,0.5250348762625532,0.5225909294263034,0.6167361090617587,0.5736364779633619,0.6268180237086532,0.6496407664101004,0.6731441245594278,0.7601540170658297,0.7373639365818062,0.71227613382986,0.9161853928297551,0.6951395759715876,0.6013043918624396,0.6619478717661333,0.6866845642893802,2.054172729452295,1.0247778454907956,1.5812417117002266,0.7286501001797437,0.716329389364782,0.7508415167441024,0.8555724482939645,0.6317182714657963,0.5370132763796116,0.6742333173366958,0.6763996527105588,0.6987499853946377,0.5229808355176547,0.9258827723433001,0.5897857534639436,0.637640931072951,1.0184309539865073,0.48739309356715316,0.54171155371343,0.6890344802608784,0.7529259945975257,0.938212088567057,0.9425179855431103,0.9908506902454692,0.8058535849287929,0.7854225381512248,1.045086110392168,0.8439325141575484,0.742407500082462,0.918175684912904,0.9574012254998263,0.7247151445662318,0.8025255899644099,0.972756452861253,0.8563414579693716,0.7875883526540008,0.8289168041622839,0.7361969331002487,0.7363335751740586,0.6960785806047617,0.6867096276760047,0.6739817174505487,0.5748742614904289,0.6133769715911358,0.5487599819520277,0.5821568002676955,0.5019366035788192,0.5344771726243066,0.651478222453312,0.6490467934204791,0.5856502007344399,0.6373154783446882,0.854841397029323,0.7538409240899782,0.7010423422256998,0.8501431224133762,1.1638778037690198,0.8729098847834983,0.7777830911103594,0.6419088841188098,0.5999889548542665,0.8935919588153112,0.7629630456875446,0.7794888216275806,0.6877919113637319,0.5713618383323108,0.4978293000964696,0.4317550336079911,0.4867846803173209,0.4828553542302865,0.4801810999706192,0.7300219769296841,1.5454286128230517,0.48940774731940667,0.6305424300533187,0.9686354381978569,0.8041696119286375,0.5952622911158577,0.8161507003890547,1.4599968868293598,3.75307615770374,5.165348236717154,5.927600663702274],[0.5105924056550362,0.41390100297398497,0.4906566850107014,0.6119499406739726,0.4148988617959264,0.4547998817076734,0.36768406737437764,0.44798594149687887,0.38894397305289374,0.36235763463602905,0.4124703673987434,0.5953963764312457,0.4680575952019262,0.4282434474530901,0.5860975613102405,0.6051133131350878,0.5798076167256638,0.6701337184106622,0.7398260117829863,0.6932132627674334,0.8887841132832021,0.821307844372154,1.0161291570956092,1.1283190683645588,0.7456979050029254,0.7442046429885499,0.684340344580466,0.5899918644639471,0.61912257971184,0.6031980752485809,0.7252824135732044,0.6627390126064119,0.8480702412502507,0.8130553499694316,0.7212567332700471,0.6775420497139888,0.6610780475791812,0.643400399485904,0.6211272393028691,0.6350487812854063,0.8717648621252946,0.70035011050884,0.7595764879759914,0.7353944928311595,0.9250203989536671,1.4472111035825448,1.37194866117744,1.132615589971081,1.2929307356645565,1.3058962730688122,1.0774196652313204,0.9802918562989755,0.8420542847676602,0.7173959290091152,1.5510885892162167,1.0326338024192778,0.9629327682243677,1.064121718406103,1.1582944294811972,1.0424077433453571,0.9369605433763658,0.941790955848987,0.9009742447867477,1.0530900969014667,0.8649305194969216,0.8752556376045078,1.0519124410858598,0.8005263459500438,0.898051027721995,0.834237893303419,1.0919160129980972,1.4862861862996604,1.0217605041464157,1.0987009658201365,0.87039289095437,1.301184470685941,0.8467865354921016,0.8380537206859971,0.7963955049861947,0.8302118949464411,0.7832981909435487,0.8466726324255099,1.2848727226416403,0.7794538613013141,0.6694816238747413,0.6399902699482927,0.7014826057249045,0.784607655520683,0.7292020861615819,0.8664664125652567,0.7951730353204082,1.00643246291446,0.8747890273762146,0.8123311028433607,0.729784314010802,0.7898294839579485,0.7197564844772911,0.7300877346611313,0.6899127211766845,1.0864177789717113,0.7031988548668813,0.7541475835145853,0.6393860608748471,0.7046824533862143,0.6524610393032793,0.6155959013382959,0.7104914229659363,0.5162860276708975,0.5141101556610187,0.7368753872055662,0.4668782798023741,0.44542519556595306,0.416706772782323,0.4835395477084631,0.4931241506296983,0.5071212228976164,0.5512481739234605,0.5587189866502913,0.7235703346193991,0.6364708725597806,0.6171737178731491,0.5537145858636044,0.5000169435054338,0.4559618216043374,0.38788325835062454,0.39695923171938424,0.524623400177525,0.4153114193204849,0.432542821404785,0.4870499459553135,0.44236752273816904,0.4759861444426118,0.4785763790991005,0.6117241475187158,0.49818479592002507,0.49438821810575556,0.5912399607784469,0.4602717284548018,0.4852938191051713,0.513997743208978,0.6190262606028539,0.7207214821864582,0.6434527047346511,0.5578832421572262,0.5583809987316497,0.5701736270877898,0.5035644597898756,0.5366674274932737,0.5413494536899242,0.4939573080802813,0.596937876131387,0.6693259779668195,1.093897843277013,1.734566378986546,1.5356234802910498,0.8541214150964274,0.6270503092334455,0.6552714277428252,0.6052952435368213,0.6100874712096672,0.5715510833093242,0.5767720895923454,0.5347422658721334,0.5465391866526752,0.5551489730057845,0.6228698519313255,0.5786196164078505,0.6832999081310421,0.6548093638658061,0.6643348323421286,0.5374843289740537,0.5076968856612255,0.5079112372451575,0.5466263321248971,0.582401566713034,0.6157026134913524,0.6348997965345113,0.8902214444512649,0.6634689302729276,0.7052823372039961,0.7229106130355875,0.5696314316309895,0.5826286685583223,0.5364382829748053,0.5422818550497986,0.6206871476559184,0.6836792686808126,0.848836381234961,1.134295044149459,0.7451310494669809,0.987432125551392,0.9809079628794026,0.7123891424345795,0.8210650009759979,0.5485231670054695,0.5240988101884495,0.5053559854508193,0.4866988560629733,0.4564113431657319,0.5606905735531383,0.5120422797837519,0.5922046808988224,0.5148363300309905,0.49941778047405366,0.5969051149414757,0.6089860776591208,0.5608220885757155,0.5742542798778836,0.6981299587134657,0.6252110197047794,0.654214493846288,0.6908557670787929,0.726834108527771,0.7857415363181076,0.7461441843529482,0.7114866832845187,0.9388153396181349,0.6802633726278511,0.6184812894516413,0.6958908076256943,0.7189282307050621,2.1207332962669776,1.049511716703035,1.6282360575210144,0.8177903778033004,0.8284968413210906,0.8546583920902872,0.9478430010060035,0.7226721937613562,0.6092673476681206,0.7409226246688436,0.7395386301844197,0.7181530722146499,0.5699379368180147,0.9622123440687532,0.6058980833236406,0.662056238932565,1.0189954721578003,0.5185744575891386,0.6244262852566246,0.78255700118726,0.8312575374697737,1.034817454658967,1.0571043510300866,1.096298178258234,0.9008141896628001,0.907046188424587,1.162617979253042,0.9454040154825156,0.8467461910723796,1.0339150252725346,1.0651289131934505,0.8271017204421374,0.9127121556982268,1.0876518871735492,0.9651998297649177,0.8740346226612802,0.9300586455818568,0.8236679859218566,0.8409246616369377,0.7950021285577015,0.7881333771711209,0.7596502975636503,0.6406716845668126,0.6859476448027454,0.6031683894994295,0.6115950152050467,0.5289942788148594,0.5628980571276552,0.6498385956274159,0.651436587243625,0.5864366505001062,0.645878238188712,0.8492597998029254,0.7531086577909026,0.6803396559259091,0.8384068118279439,1.1544755473265487,0.8411513038602487,0.7508269833416833,0.6326683745044303,0.592274567421203,0.8689008136187112,0.7268459421557246,0.7381032139896319,0.6785023560897953,0.5529504409152871,0.5070438512429601,0.4708250586435428,0.509004770937723,0.5402000801637131,0.5687007087866273,0.823251664893807,1.5933480278305896,0.5794278598396246,0.7126047988005052,1.064654578374865,0.8449019111098602,0.6505655320105136,0.8599496763260517,1.6391547501281603,3.9128726189707326,5.438864431187125,6.373703380962862],[0.6486865016161819,0.5776031373092713,0.6738791725481397,0.7471916525994045,0.5775218825204181,0.6123021425698276,0.5049666570786515,0.5473991097017364,0.5328698338726385,0.45108348666476583,0.47761488380136874,0.6073466715145943,0.4833227583300408,0.47998829721214514,0.5841501530830758,0.5684937349786674,0.591203358066187,0.6939389515254,0.7988521360488978,0.7271591882932397,0.8994451140417048,0.8263620877610005,0.9777547644689564,1.1160177519236205,0.7783161546244804,0.792790883180835,0.6977242127181918,0.6205019076363961,0.6246843890877615,0.5763535215306208,0.6747175872921846,0.5722134575746127,0.7070697613492801,0.6904992188907133,0.6164218674598144,0.6410587067300583,0.5952760437673779,0.6289528555900754,0.6131720810892142,0.6215561162881992,0.8975483327721907,0.7210624092614357,0.7819679844581305,0.7360106970451534,0.9594173580865023,1.5015727456149937,1.4068937892661384,1.146423786427122,1.3208472179841064,1.3419921130322996,1.0933837624927012,0.9704809919144395,0.82229776091935,0.725457682094371,1.5354625294353341,0.9869309226734776,0.952109902403234,1.0027312799353985,1.101683794682485,1.0432101673080278,0.941362327397045,0.9341799005105359,0.8782644372017383,1.0529735705666425,0.8682072110485011,0.8701815447614105,1.086461658285595,0.8381719053173093,0.9408799580027468,0.9055371425041239,1.1846836172325073,1.4999036731937716,1.0870444073687302,1.1109014911462562,0.880763772345707,1.2318949914258401,0.8150634313842465,0.7750103580616693,0.7305540147933187,0.7722970698921671,0.6979149762351242,0.7745861972361454,1.2281567500318427,0.7147908466447427,0.659907763479936,0.606848391742848,0.6690276554825378,0.7094662756762197,0.6858401823364784,0.782655070089594,0.741923805726027,0.9087026038844913,0.7782041979291242,0.6833482513016136,0.6407435739470351,0.6931317523908687,0.6564470108109589,0.6209773358683207,0.6166600792690657,0.9958463966442153,0.612157176374325,0.714912801604304,0.5703367204474018,0.6656814694021879,0.6261337723502799,0.6310724081882207,0.7139332935999202,0.5576051932485058,0.5866260188261055,0.7909095711680364,0.5544047576624919,0.5164584734966454,0.500106653218038,0.5481916737393384,0.5435821853334645,0.5614657829208282,0.5936464186719133,0.6012231838195367,0.7601599894341737,0.7070047561975654,0.6826521938487865,0.6134845867346298,0.5596945819428908,0.516209219138745,0.4698492574180776,0.47808726287583936,0.6076198413827147,0.5053331795565912,0.5159711049834461,0.5345275977016406,0.5211289567267132,0.5221767434948631,0.5235036480943064,0.6248722033640923,0.5416799846322503,0.5459132997252494,0.6717443271121776,0.5373221674830868,0.5567113969787898,0.5826304258158564,0.650685432258862,0.7323769261653802,0.6809524936670576,0.5926362267466727,0.5759333395379186,0.5782851387322299,0.5377580335665632,0.5550019315332264,0.5739112454060634,0.5563502962363835,0.6338621300776021,0.7105131710479087,1.040428865040038,1.7363546778393184,1.5818652337338845,0.8119222540894607,0.6100812696585369,0.6390280528592054,0.5767244006005535,0.616797885333659,0.5940414982812185,0.5755976676724558,0.5621277127084306,0.5551046186369695,0.5779493226696854,0.6743126848895231,0.618679465307549,0.7267432414979785,0.7231748156358596,0.7344388405798896,0.5998760802445091,0.5640086610973714,0.5349059175130488,0.550436247160513,0.5649133727280952,0.5880227422776637,0.5871103084158639,0.8296931116215633,0.6179058668416096,0.6640472851355907,0.7140595733291192,0.5660237622962735,0.5808341845922835,0.5454470845344848,0.5609296569387322,0.6262006347126359,0.6924355963286353,0.8442633642617786,1.1441702378606324,0.7661847780036517,1.0030721334358503,1.003488951765278,0.7545164934756379,0.8626097642837811,0.5936442336708875,0.5758126864939808,0.5716524895247093,0.5583659994427878,0.5628335534012667,0.6389802781046211,0.6152235388408684,0.6662722804301486,0.6226654953948673,0.6486322729609766,0.7196682227309772,0.747209175388838,0.7257750469534721,0.7453524902753564,0.8476926119947148,0.8101138020847235,0.8417967283672888,0.8814396411490725,0.9199537845782537,0.9509724975044194,0.9156363213303909,0.8787866423491777,1.0824811387050803,0.8585051026111725,0.7794269082489982,0.8467218313921973,0.8712905849141936,2.1163762016702665,1.1276505998406414,1.6499252590255649,0.9375927558791991,0.8911188320062486,0.885557916000486,0.9365874500126417,0.7998707782939717,0.7082894255718544,0.7851539811526212,0.8104070631553663,0.7721887582658153,0.6502124651245754,1.036996859125973,0.7103269083991028,0.7775802226615837,1.0731546471339926,0.6406590132854951,0.6602262616299037,0.7939978638812129,0.8539816526619878,1.0260683986354018,1.0530779298999988,1.1020348177933361,0.9078699079166181,0.9285807748065648,1.141584861769962,0.9695878764318403,0.9092113204556181,1.0704369677938699,1.100179368806946,0.9166147724490665,0.9769349748478301,1.1428950246540392,1.0705287498359064,1.0124778449887977,1.0352669622136772,0.9580917993884627,0.9380094177178744,0.88069773356588,0.8841830543227507,0.874617194745777,0.7894350161796468,0.7975663904282178,0.7456321077652496,0.7656723453802888,0.6936687921493089,0.7160098177771449,0.8058725079959389,0.7882842730721189,0.726656576767028,0.7847617433061087,0.9798637303472607,0.8851054790448872,0.7935595668003361,0.9188920764700436,1.2008842631181575,0.971976108204839,0.8837568550490543,0.8014274579243148,0.7613652478653989,0.9488101463939761,0.8263740528614946,0.8210863116451088,0.7703112400207656,0.6637388318630245,0.6283158809633321,0.5723721788973738,0.6048603289015255,0.6336434474887014,0.6772912089778153,0.9134600735982471,1.6047734489293273,0.6986264199073742,0.8520736356069537,1.1868278116893385,0.9526966457153517,0.8338774492163489,1.0304071041157423,1.731612191824096,3.943713960624883,5.36060451556933,6.346912538513387],[0.4954020528881191,0.43647874151409527,0.4959500871923116,0.6787469153789973,0.4419033214431054,0.4379857835209601,0.38575634977638446,0.39187675731008254,0.37314272131967274,0.35939447005502606,0.39514560211931565,0.5009491738093579,0.41944047501726334,0.39744199575344785,0.521389197505083,0.5265341727343515,0.5112464657957845,0.5696085167891999,0.6376630317053771,0.601457251363443,0.764174661821745,0.7208692220534877,0.9093713883035057,1.0287001565908047,0.6998915449340344,0.6743102337134165,0.596746192842383,0.512984425031136,0.5302830766519098,0.5141934317140919,0.614044664971784,0.554508241329079,0.7259643734787334,0.6872649076128527,0.5803377306492807,0.5629933441138432,0.5402475027720212,0.5521097458127201,0.532735240450077,0.5404390070662098,0.7426444906020919,0.6233218022106459,0.6460445791124859,0.7157646691569222,0.9598523467009784,1.5456783232629845,1.5599881524699728,1.0645929523078186,1.2494908640463047,1.459034042852928,1.1487548308567772,1.0123044101804426,0.7801282793658831,0.6864825414421365,1.3744861931558374,0.8152189965824752,0.8163898499209515,0.8668109696219791,0.9359262331094336,0.9798285851392526,0.8584612219668502,0.857897476375726,0.7849846743581427,0.9516300068690517,0.7780184062451201,0.7828305858061686,0.950275831981648,0.6967054454012641,0.8044836461019316,0.7242340440467852,0.9397300592916115,1.2447911827208697,0.8796962246280262,1.0109470226080433,0.7419662091476976,1.1571647531669578,0.6907501560241507,0.6859053128180514,0.6397419230689925,0.6930193058715535,0.6331967621561185,0.7223775373888328,1.1167178492860153,0.5838356298633517,0.697053272030447,0.5311127719525943,0.5879377124488218,0.6526184812658415,0.5956345174723903,0.7349910558034355,0.6700458087514753,0.9504847728720528,0.7796205133723524,0.698513437530127,0.6246441798337321,0.7276146216526053,0.6403907519276729,0.6318390158847774,0.5966307423184338,0.95442723455436,0.5849207125562811,0.6419679961549225,0.5292160107235501,0.5611568646487884,0.5301559183330018,0.5237564455130232,0.5986227459959867,0.4563167075392036,0.4623823849401313,0.7309885331731536,0.414921240229936,0.404491408165471,0.39462882090743057,0.4315585436178738,0.45448798545116476,0.46081808604876334,0.49307130084079404,0.5141988378666653,0.641743591121197,0.5852862537662473,0.5463562118819412,0.5109202009359013,0.4802950115981117,0.4206509493239806,0.37154928170768114,0.372006064741703,0.5147623530936037,0.40701462925353205,0.4187645263746674,0.4411739378681801,0.42045310740342223,0.42315573800397926,0.4416299292611726,0.5450103323368085,0.4667985052020695,0.47332146925556806,0.5749571786112613,0.42793838070257867,0.44051619905468975,0.4768894562718507,0.6210550816615309,0.7463794287279347,0.5984392673833249,0.5251905124393149,0.5027277110181163,0.508036656557657,0.445746032439744,0.47452285848681375,0.4669818292427877,0.45556663085945104,0.48935128422025576,0.5541286429598532,0.9332053724470187,1.6997900877314809,1.5387234590956895,0.7021419570346433,0.5224047562335898,0.518899147564956,0.49999908794038017,0.491050540070887,0.4969362546673214,0.47336213956821127,0.4777926289683123,0.48030348487039476,0.5213776741389999,0.5837057562894497,0.5397991347009976,0.6724680091103978,0.6360544127911857,0.619772710733797,0.49532768041901276,0.4615842254785758,0.4583492492840033,0.46206818652326886,0.4794899217873193,0.5110225917249237,0.5267264289747154,0.7509110772368068,0.5570051086515824,0.5836293234384429,0.6583557184378288,0.46956726231033225,0.49416804136106074,0.4657988310797664,0.4985238166860235,0.5462679259570044,0.6142658081491272,0.7916085542951653,1.1712336744207774,0.7825479728715476,1.0065999346571002,1.0370774379874923,0.7486147440605199,0.8166495822866775,0.5458826690170169,0.4987055827044966,0.49544385830377474,0.4462486858538235,0.4367290115869653,0.5202719565521108,0.4487184272170589,0.489911062439977,0.4489231731861183,0.471505745041213,0.5222114719196383,0.5525438425064074,0.5673209059781473,0.5606878624148011,0.6291244064915048,0.6058795598551145,0.662523850561743,0.6723594447993992,0.6984582280959054,0.7785046039703438,0.7535948465360424,0.7364761640410765,0.8794964283783966,0.7169652538623184,0.6215376114011758,0.6636261703585827,0.6821928126482529,1.9512911380872286,1.0130697343026474,1.5090586079846227,0.7012250700667726,0.6654738465169788,0.7108238375358252,0.8026399394005133,0.6015156563582742,0.5157953687465534,0.6448175070158623,0.6818124765913832,0.6919935021932435,0.5087995247959389,0.9024738250543188,0.6235654049234736,0.6593090318225376,1.0677726354458006,0.5093574809607209,0.5284176958965693,0.6586938298155306,0.7209627042651894,0.8931557025588888,0.9137651500229814,0.9646251944454073,0.766567082520606,0.7470583235358522,0.9886132709343668,0.816547514021849,0.720232154352169,0.9015858011686788,0.9575265402801857,0.7299246862039507,0.7827293374313868,0.9607621305311392,0.8689926991317931,0.7899344360463229,0.8143834906162059,0.7310226646211452,0.7049607465281469,0.6725446346703621,0.6615148521156521,0.650321865216638,0.575032552776061,0.6020713451088233,0.5386056854064095,0.5864846816715819,0.5243283781957719,0.5340806827022943,0.6874401592050534,0.6785699181421035,0.6067184205954125,0.6672087277552162,0.910078982248668,0.8078606546924223,0.7331492946975531,0.9502599082190111,1.2436740050748354,0.909916189278287,0.81740414557239,0.6745368843514641,0.6281231974263862,0.8986645828239503,0.7762371847237188,0.813621339876072,0.7160100207490495,0.5951664018138382,0.5298037819464533,0.44435746688705063,0.4930267275172109,0.4808690983476557,0.5082245920711848,0.725725410856333,1.5277655245599635,0.5298849430146388,0.6602760866942191,0.9902196995280762,0.8536532272327014,0.634209943382763,0.8635851510673489,1.3712869903540281,3.6429020358168174,4.821853566056382,5.518841766372041],[0.42856904349582337,0.430566649677699,0.4827052632192358,0.6607072034713172,0.4235954838296324,0.40966954681571527,0.350593129326975,0.3339796987736464,0.3221563783929908,0.3250559847503659,0.3495452252353249,0.44721895797116,0.37546875120218065,0.38214230365372553,0.4960535747680237,0.47875309306411135,0.4973805669949234,0.5461264181880776,0.6516501222329032,0.5987993089250064,0.7399982739622665,0.7173737580912884,0.8692667779027268,1.0023114986242818,0.7652686274049606,0.7185438492317267,0.6034496607257168,0.5136859516012049,0.5119471290581109,0.4778341641294929,0.5577265799112319,0.49980261420397315,0.6531143888693702,0.6055685861231657,0.5130815209997127,0.516757715058244,0.4914285166175073,0.5561144124753796,0.5304677155858395,0.5379150889400017,0.7089110413115487,0.6553131051678037,0.6612586981651539,0.79076788394098,1.002369987464676,1.604653244025567,1.6525766084074565,1.0709394846228981,1.3024219282112153,1.575737960158934,1.239460632694353,1.0937822236431358,0.847358332361952,0.7384391334832214,1.3321204835191094,0.7517282395775678,0.794272566984306,0.8092854462966727,0.8677857701266789,1.0026487438150506,0.855427093361325,0.8263280066130149,0.7384162985076632,0.8933577221523608,0.762759501345205,0.7516479277897604,0.9155680449873247,0.6578357828990804,0.7689078516383004,0.7007955290180851,0.8707300006250444,1.1160915424640363,0.8380282184718765,0.9542894045340989,0.6771509602482323,1.103132402337794,0.6189218997751468,0.6008242808041049,0.5709397303393547,0.6483476203336658,0.5779333294804002,0.7066908821891974,1.0126021095994477,0.5251801469270001,0.7547194297599955,0.5177052059862783,0.5700802026124795,0.5935463978401729,0.5500859305766402,0.6429833320750667,0.6032733016799433,0.9146843110440108,0.7190817386885504,0.6212721258522683,0.5586948321138528,0.6944727198099687,0.5992782032926083,0.5688831190612736,0.5359950567980174,0.8696782414544638,0.513927514287521,0.5766196562207876,0.48376835979077076,0.49071685077831323,0.4774582720239063,0.4746222477211179,0.5298028929461932,0.42477553750192787,0.4099219191180403,0.6785338926621366,0.36491897560173703,0.3761327222870802,0.36523449392356516,0.4062531578344568,0.4341546442160898,0.4487677140379358,0.4891451340650137,0.5285516674446971,0.6377174000757643,0.5826105068474279,0.5455559131956881,0.5081526855045118,0.49436706216651416,0.4127203586406057,0.3514464810464062,0.3558543459380506,0.5130281799807614,0.3814497408997171,0.3879792589132796,0.4232029953344584,0.40015079930178166,0.3945266033919402,0.43392602320576384,0.5169580218990804,0.456507979279722,0.4661835850530731,0.5537671234263023,0.4137360363432535,0.4358067513195077,0.4830634294130303,0.6370464948089324,0.7746496350883801,0.6109563541510594,0.5386960705479833,0.5040259723714332,0.5017288204006564,0.4334293241639623,0.45545760771917715,0.4274416959934551,0.4217848611748416,0.45323728005375613,0.5308423434080272,0.8570098852697001,1.661448132232457,1.549919452009226,0.6296987381439431,0.46658267142769616,0.4679852686852985,0.4347129953095211,0.43621787943910817,0.4819981408367612,0.4569378494442142,0.4749644907916356,0.48938244365972344,0.5523288588980794,0.6054560408979466,0.5541078924938069,0.6954382218899863,0.6458586757615465,0.6237627734284119,0.4926757533721344,0.46317045457136147,0.4546827423685523,0.44800100956890815,0.4494689264936322,0.4730097412476687,0.49039942064030223,0.6844043899673318,0.5308046709413909,0.5367770618262857,0.6359492190347988,0.43416952842742906,0.47144008688424593,0.47289031125346365,0.5117077044280687,0.5639089457598492,0.6233862806871046,0.806108131196281,1.2097165108431385,0.8391326832402712,1.0298455896954881,1.1016915273278178,0.7904248619243173,0.8307639824466229,0.5664223286780657,0.5027426663445069,0.4946136538604933,0.4311804169143992,0.41418826881539406,0.5207412169324187,0.4247629381363865,0.45944881777483415,0.42430063597452067,0.4464675362778186,0.4958934155954806,0.5326446371802837,0.547846239123749,0.5397636394928146,0.6060920349647022,0.5864635072055504,0.6337327325545788,0.649047415573492,0.6825148080415698,0.7340682465100223,0.7202964772825967,0.7189555914804383,0.8689211738997554,0.6758541464136308,0.5799609838839165,0.6261844603277776,0.6479428390428656,1.867221047014583,0.9830936985493843,1.4998882870431052,0.6703345744352139,0.6104047091898271,0.6671345747444991,0.752455762830703,0.5551099466530036,0.4845324654768981,0.6174256019326162,0.6741104686716743,0.6880012025192327,0.4975497791330829,0.9049828285844246,0.6424701613188813,0.6585267486331443,1.0910766977517925,0.48027330111946426,0.5262784472081042,0.6269457391614771,0.6919733262455178,0.8474241378852849,0.8572245784326105,0.9166003582744991,0.7276240453907734,0.7146217269338238,0.9445487068494633,0.7921178130732616,0.6970293793510907,0.8798091464487199,0.9477583161494658,0.721055866677967,0.7591487962964515,0.932922730222379,0.8618720837027762,0.7641359406528553,0.7858701183410417,0.6984073034577142,0.6720404049333573,0.631430170796395,0.6191605233248253,0.5955645268360897,0.5331926473677819,0.5864090161899775,0.5036448137823356,0.5602353790343177,0.5046487095173853,0.5189453778839322,0.6963472374009331,0.674331954705679,0.6062176499696703,0.6738412280333146,0.8967332667779486,0.791739897003103,0.7058391482763344,0.9599739669998171,1.2476746573161543,0.8885588110024913,0.7761523109265365,0.6362707408258923,0.5885898255072335,0.8574603609202308,0.7298096506581723,0.7748497746588117,0.6797203845386453,0.5671248138039596,0.4944967872810995,0.4202873485171981,0.478662349863268,0.4730973914527717,0.4727377449688718,0.6711531608824691,1.4820386007846278,0.5188639216321719,0.6283002275667677,0.9273329202841171,0.8519119680634533,0.5923888836792093,0.8102225919968273,1.3291609212654352,3.5656276286116975,4.562403525501501,5.173420608785404],[0.4161561724744553,0.4427422678173389,0.5158757747086751,0.7005086951297396,0.5263685838980784,0.45064355707853826,0.42515292660479603,0.43417956639396166,0.4162264546572809,0.4877742389797189,0.5546224475207938,0.6515771926586251,0.5903872029244268,0.5827250043042945,0.7624530244525172,0.7219692674959768,0.699371731639335,0.7446663296472977,0.826371357086872,0.7896708893426525,0.8508109154036976,0.8469482857141419,1.0068791333866423,1.1404533397505094,0.9485015330039711,0.8920921076083524,0.7720160447148747,0.7023401627191919,0.7073795161953791,0.6903360610031913,0.8037998315453396,0.7320756135544426,0.9181320743677256,0.8669329984663,0.7541324642569701,0.7443303765120715,0.7146125936034449,0.7608376898483286,0.7245421654937265,0.7370285999388199,0.8121932323571746,0.8348426798026759,0.8592354628944706,1.041445981789997,1.1918221511747198,1.7533712533120152,1.8858488659054167,1.2359172166040011,1.486191462219431,1.817081912286507,1.4505626708366859,1.388686716426712,1.1056196928050954,0.9724710225716598,1.3455545054282312,0.9143640272627739,0.9630427135264308,0.9104445471235929,0.9633024453061944,1.1967504620652443,1.0072162358725112,0.9827545324302666,0.9140050599723101,1.0327806307120013,0.9013821443664058,0.901465876371261,1.0101194602131522,0.8262471516852583,0.8960093086417705,0.8869130248556824,0.8844332395408135,1.0362961975781555,0.9672863973294007,1.1138040704491048,0.8450652167701508,1.2079807623706307,0.8186648147804519,0.806678184693817,0.7844015824409981,0.8535105772571087,0.7318558780049298,0.8783288531617709,1.0581655275659214,0.7188350529977211,0.9762121902994805,0.735469040009017,0.7429098274988917,0.7583978295136474,0.7613592968129896,0.8509709200427573,0.8331155104733751,1.1367466129707036,0.9772715857103675,0.9248194248901056,0.8371560241872061,1.0095157989580779,0.8806744537359379,0.8380073804560031,0.7623281801000488,1.022607713682315,0.7278198050642753,0.7196590754449571,0.6817306488930032,0.6264109371438005,0.6317534031683372,0.6415246263738857,0.6507040140929412,0.5716994510425901,0.5327532211167693,0.738933525037001,0.4767494595844563,0.5237012410475909,0.5005685138993766,0.5407096140475542,0.575534107298409,0.6179186916836734,0.6639939782657038,0.7063660602431124,0.8368692497055198,0.7518631677550114,0.7293220344758818,0.6659909636000796,0.6567848848087303,0.5527204263954004,0.45156840524967556,0.4769796233028491,0.5813800945878241,0.5073073959165455,0.5205235754411147,0.5633821074383297,0.5431241518569507,0.532984930314801,0.5971818423005459,0.629427978448552,0.5958992073997095,0.6056333970291402,0.6249250303910294,0.5520824241576932,0.5722683289372751,0.6606566653848929,0.7869011678188346,0.9295681964092598,0.788268373156023,0.7282700407223125,0.7178280991647732,0.6857498757165091,0.6284098758423088,0.6430190435253547,0.580569706792382,0.5611791154743774,0.591850034752983,0.6655505015111719,0.9089593408806056,1.6956799972128256,1.660333522524546,0.8071680837256027,0.6625818511382022,0.6341564906001064,0.6254922909716996,0.5918995280099313,0.6228992710305152,0.6735395385343714,0.6655969568650719,0.7028712039528305,0.7232422636649791,0.7807634770922711,0.7331107234867408,0.901006508916003,0.8031594232377314,0.7564077482274725,0.6546163678960747,0.6428064870724222,0.6461531324262471,0.6392010626483436,0.6553904738015797,0.6606120075269418,0.6782063553261658,0.8002653704435025,0.7324497631971523,0.7031293538906083,0.8128791064028396,0.6212106722980042,0.6651438594895793,0.6777056743307676,0.7004096648156161,0.770451389266316,0.814304753762354,0.9501844804421116,1.36741667832471,1.039962103650063,1.2062602380506149,1.3097045811467398,0.9579110831327057,0.9664047512457135,0.7364273823978009,0.6876859363376492,0.6423633230778146,0.5762984648089304,0.540251889631327,0.6222997798362627,0.5196059610147618,0.5323667425137539,0.5141723159905425,0.5295749688992595,0.5459215301148224,0.5740670940595342,0.5991496318245094,0.5818230352508589,0.622648781234881,0.5995170833237401,0.6416023655269324,0.6443921855388278,0.6646527890627156,0.7277165185790153,0.7406518291358627,0.7857351127029023,0.902254764851354,0.7434370561164084,0.6186257910173164,0.6350697104969478,0.6676451178314964,1.7888516510330013,1.0148599106565686,1.4698979648695039,0.7037260030235966,0.6377586904036687,0.6903501205587894,0.7596765188577226,0.6159922364725028,0.5668347680226394,0.6770951584254349,0.7477740149979467,0.7401149727769224,0.5931036845030339,0.9778271125264002,0.8053468905124542,0.8001446629918383,1.1839402761500615,0.5854750405588728,0.6575162277720606,0.7160342283587452,0.7296527790328322,0.8878272617007148,0.8923997866549378,0.9662887363320293,0.7662124139397097,0.7216164741919989,0.9381445366986302,0.8173654622114731,0.7175331944815991,0.8779344555517302,0.9558698808625185,0.7350108653640783,0.7521749317077545,0.9167290386099224,0.856733784450772,0.7344368387491077,0.7514861815875874,0.6858221940223849,0.6664478610424394,0.644343331467759,0.6343473399288667,0.6071317475156988,0.5604933821760092,0.6187601166834145,0.5409828796698579,0.5886934188957672,0.5762200797195752,0.6044427490595563,0.7808203885507571,0.7599333003440717,0.7284899591843101,0.8037137548914601,1.0635070033769216,0.9383606028898763,0.8417359211577145,1.1635564716015596,1.364467560273884,0.9649427575736673,0.8768372693240083,0.7079973730012733,0.6503513562615166,0.9404684200035335,0.8056701021144379,0.8615496915749693,0.7564391813323098,0.6289337758622824,0.5584403907404845,0.5126753450921736,0.549338916768641,0.527266368419372,0.53937599852555,0.6952178980475247,1.4610482846165143,0.602138933261993,0.6576107936432035,0.9384116925725324,0.9460705862989772,0.58634413799657,0.7808537732299691,1.2544065218257008,3.4061853175924086,4.2083368436410336,4.736681109361456],[0.42665210701937706,0.4140878124726181,0.43102533050648684,0.6170236596394489,0.4403578092813793,0.3760113518919602,0.33128709321318034,0.33149190252628974,0.3214307837527932,0.31709908517567564,0.3277159969631696,0.42630239818459864,0.3544003720821241,0.37113897453123357,0.4724026926957791,0.44688295573150794,0.49175866696534004,0.5381392406184228,0.6696532559983065,0.6103313439635545,0.738637294988334,0.7259710472857019,0.8982870526280644,1.0358300123780917,0.8479911149408361,0.7708528260360732,0.6216337656142834,0.5127173059116081,0.4889298023343645,0.4536438026154695,0.5551572875475587,0.4689651087405701,0.6312954015175575,0.596878844687998,0.49621056121184853,0.5009303720810319,0.46485742012519193,0.5480379588423329,0.531667153784427,0.5372042800941205,0.6934096240603093,0.678446603076011,0.6935421264351729,0.8762456427474143,1.0704332793894462,1.675879323513193,1.7909876244298102,1.1277566514808415,1.37402030007751,1.7263771545623916,1.336132050131938,1.1869158307083107,0.955143641384295,0.8006534734268768,1.2880601748392304,0.7526390149899976,0.8142732311984018,0.8020658178790538,0.8462758290611392,1.0740578248073496,0.8745096771080684,0.8408045412863542,0.745277063283628,0.8999393729684627,0.7922300970419329,0.7590972305231151,0.9322622614154921,0.6677062139594714,0.7767510310254705,0.7109196817507202,0.83617147119482,1.040627766260387,0.8409156736408486,0.9859948555906675,0.6895392890132357,1.1484597354147978,0.6339166020527021,0.6086374231472427,0.5694123806080126,0.651100485027256,0.5579271539871491,0.6925711424209023,0.9620413854541766,0.4979367886030995,0.76818213573588,0.5028648806475197,0.5566244196283218,0.5651682034794033,0.5437454829252133,0.6356112212258339,0.605654042919306,0.9582029717516334,0.7494887378142253,0.6240724048230579,0.5455378303009594,0.6859576797143337,0.5829215893378489,0.5499063339025249,0.5034777620711326,0.8413118534143215,0.48260515951237487,0.5517744003217061,0.44440669207263056,0.45509472009039387,0.4418511670794176,0.4596513834785266,0.5465308425123342,0.3858654534480467,0.3951578418981397,0.6853541350475091,0.3310185010062076,0.3300652684611108,0.32560566149864034,0.37903474997712355,0.4128820411608622,0.4695040701385595,0.4994326140423845,0.5640365242301565,0.6918346498562109,0.5794170747926766,0.5736762945194973,0.5142844031246863,0.5649105038664459,0.43227741543175874,0.3461078257252139,0.3513297879070012,0.47069322804387353,0.36906831729235046,0.3802347203266191,0.4033101021220363,0.3918558597171443,0.37768757874335185,0.41751843066561106,0.4737934141195559,0.43996434719041994,0.46635819107810794,0.5449298055504775,0.4172289752997601,0.43854574172694494,0.4965584409184955,0.6870498785688661,0.837920649925314,0.641407939233104,0.5424552389266416,0.5154309562492729,0.49916978310667626,0.43199141389008255,0.436177314577015,0.36990989828342435,0.37386222086807314,0.41757200316627513,0.5372523097954968,0.9232087898533285,1.7177689818031712,1.5276129695542826,0.6069605872445643,0.42270954869532656,0.4241655558266643,0.39608653586256387,0.3964027027873533,0.438908887781231,0.4421967015290836,0.4718188356989131,0.49018268352832733,0.5436980807611632,0.6422577019356951,0.5744183298629619,0.7563037094962904,0.6843172963636366,0.6522034332763321,0.5097978666221539,0.48260762423836284,0.45781642431809,0.4257711782496207,0.41553046335331767,0.4339330708136971,0.45606522027156154,0.6469396276383674,0.4965980484320168,0.4828092102657736,0.6403532162885429,0.39750788656697283,0.45321696791849503,0.46497005271714836,0.5079779028873561,0.558646039308174,0.6247266329078287,0.7829829483948492,1.2707094160909398,0.8812682902076528,1.0941751906805215,1.1291754080906917,0.8147410934454311,0.8347945424545342,0.5712676332423948,0.5363353713604582,0.5271725217609268,0.4533866792468987,0.4367328935281579,0.5189114855205159,0.3957585699563014,0.4196493980135785,0.3890867132325234,0.4200997113681404,0.46315368751216474,0.495585420869879,0.5266056939895197,0.5123987065491292,0.5847196960835613,0.554928735669089,0.6061883269761917,0.6363214467351151,0.6589442810238245,0.7150536051102002,0.7349624499087426,0.7324431352747931,0.9067787729373807,0.6900592757138527,0.5826132760132273,0.6294107023050893,0.6777212509102793,1.7973985370408339,1.0195087763809803,1.4781667115650527,0.6226860094970889,0.5870656967416988,0.6712683748431504,0.7269966007824475,0.556445611635359,0.46345374539156675,0.5856909153215784,0.6466574604729665,0.7158352869278403,0.5000183771876676,0.8631914517667082,0.7332880047481016,0.6860172978346296,1.1346609211103078,0.48665879357002645,0.5257388349279203,0.5936265752666966,0.6502467152166101,0.7990950716188162,0.826674436220129,0.8853219554069456,0.6962887540716904,0.6769259343678629,0.8948434496069521,0.7611533618066465,0.6754391530169724,0.8668408989562667,0.9555270908764792,0.7208045901877037,0.7476292342447354,0.9219609947801911,0.8638031027075432,0.7394028872312427,0.7670521744692936,0.6891151121825438,0.6541531699907268,0.5984173612761294,0.5673897995232979,0.5910654850147333,0.5177720856525504,0.557348280615698,0.4939250410836298,0.5487542077401695,0.49314465874072533,0.546871298731101,0.721131616346923,0.6815999742601,0.6313028270046899,0.6832574577723487,0.9437737427883459,0.8225108146018192,0.7321553845350102,0.9791544280089021,1.221017918966041,0.9512194913053325,0.7933302802430663,0.6318218684319465,0.5697525754697731,0.8296931776044981,0.7279251807782882,0.7921387345163595,0.6996556077399834,0.5908316457428786,0.4898569356559168,0.4078250042286797,0.4647230098386978,0.4570100397376957,0.43470614599593826,0.6517627613807054,1.4932423490300424,0.5078873400582099,0.5976463945954964,0.865080543597482,0.8755229492624115,0.5404024054707951,0.7679308333247932,1.1048505624653255,3.248697356355549,4.0432800617176285,4.340195885289942],[0.4244690590141732,0.46570302514754797,0.4923140021701599,0.6500669879038699,0.4841110771142774,0.3985613684499495,0.3811284956349873,0.37924128488906794,0.39439726736568365,0.4093616963039261,0.4174776822603356,0.4787670442425129,0.4467788489432826,0.45522668794401283,0.5614646832389848,0.5063873287308667,0.5694966255967499,0.5873910784792593,0.7251048783574164,0.6715320615462167,0.7671629740432059,0.7699394238562797,0.9197918946824484,1.0660392049108758,0.9871620740946073,0.8528394667668258,0.6907920091964296,0.597054397859974,0.5616587825605536,0.5187553541359539,0.5925949871199561,0.5187109367552831,0.654548102093604,0.6318069757327878,0.5426558538182651,0.5612717007309164,0.5298355163766817,0.6373756715074294,0.6246123969599281,0.6303645240284939,0.7461853678413853,0.7569574521485672,0.7824073328332076,1.0414194713483513,1.1615950875051297,1.7556730326513699,1.957394903710138,1.2235366077772913,1.5107839984244964,1.9601883539993445,1.5343491713394828,1.428007551975318,1.1268954550929635,0.9643285921231144,1.2902461431280916,0.8453059554636961,0.9237947743107602,0.8764659324535914,0.8951208749434054,1.2004510111727096,0.9506779964679197,0.8893968725433017,0.7743930830616751,0.9107322649630288,0.8244254863193604,0.783986979766293,0.9197113536475101,0.6884766304289056,0.7994918530510386,0.769006231287888,0.796740370003607,0.9717336740373915,0.8590931958179023,1.0129272019777094,0.7285924921667573,1.172170984072581,0.677396707309099,0.6465668617923221,0.6228271602292708,0.712986245333005,0.6130095683632482,0.7400119114179075,0.9217874785523528,0.6018247871513178,0.8852061559188539,0.5898475787809192,0.6258255746910384,0.6356260671801361,0.5997507406824317,0.6427806987533112,0.6354894219535924,0.9977575887240338,0.7967655744390857,0.6611654046170323,0.597638796075947,0.7389450078923422,0.6567730591387617,0.6030955464884147,0.549599912028919,0.7998535215165588,0.5215463936379217,0.6048487179096045,0.4991581500175046,0.49677774777660527,0.5324568541488786,0.5220838810854379,0.5671923647732363,0.5126235737631982,0.486753207759597,0.7138774476895561,0.4481139523757282,0.4452853889646242,0.4479036083452849,0.469738080310767,0.5029119110078617,0.5460813107191335,0.5824126495798374,0.6505242793222968,0.7728086722296001,0.6575332599123626,0.6709653395248979,0.5837844753161595,0.6499843184017037,0.5016194824163893,0.4152733612522313,0.44346451982145113,0.5323737831412987,0.4567548170113518,0.45161521932315873,0.529784583671309,0.5045847294875996,0.5057461210203386,0.5586263775163129,0.5636884029823828,0.5801686923340386,0.6249829031223626,0.5937586190964326,0.5257638153640714,0.5293646748775492,0.6037302631624146,0.785101435261748,0.9678797369141546,0.7047102169851857,0.6265360419934995,0.6133942653647718,0.5800683845616188,0.5272218041643641,0.5384156622974468,0.45294353179105534,0.454736781087506,0.4770122252651853,0.553144668771725,0.8263476157242068,1.640394413445264,1.5345026485293256,0.6097968223467953,0.49077981076996435,0.46823533771330655,0.4552983902368513,0.4575397194928576,0.531315395029183,0.5290100472086704,0.5753504520880096,0.6075956458111014,0.6436948050186515,0.7546335514966294,0.678634021457867,0.8394940846770642,0.7720726449892352,0.7203293702878587,0.6044322380430032,0.5918498261811393,0.5740450319591605,0.552071301386873,0.5384488835060848,0.5401677418921784,0.5430276364710115,0.6682482513606127,0.5823121164572069,0.5590682862809131,0.7385071031874915,0.5195919474064732,0.5823888494478144,0.6307639218953783,0.6568253324169222,0.691062612840356,0.7375922555368536,0.8726548709692219,1.4020568951567787,1.0403187565933907,1.219407599270956,1.2556419349919992,0.9262196520380739,0.8957413028589302,0.6987335280239254,0.6828210183816081,0.6415137759636312,0.5522386019509823,0.5209421467425768,0.6137350835038692,0.47123586139622836,0.47547090770638695,0.4678629610795003,0.47749234514483996,0.4904250872275025,0.5239809723271976,0.5734865204932043,0.5626160430948657,0.5763287464646568,0.5679136474262021,0.6234231178126768,0.6377966503891783,0.6466156029238964,0.7001897164518743,0.766767013465734,0.808968221018283,0.963542193069592,0.7791663129851831,0.6455713577200126,0.6800196061521344,0.7638307756195796,1.6849967848558143,1.061060404850946,1.42180800226941,0.6736583769967384,0.588975292936575,0.644680602050637,0.6680968290924356,0.6120624518021204,0.5363013920636174,0.6253294073019936,0.7141653632223832,0.7647036164920953,0.5791185535096447,0.9298471423293735,0.8845249294056423,0.7656382946519036,1.2237644004297485,0.5570519945466803,0.6099474674078534,0.6167703017779081,0.6496852775941251,0.7965741498645698,0.7872752855633178,0.8535126122476038,0.6862137148246806,0.6589051648218561,0.8399983420872471,0.7549233747833354,0.6433149277562259,0.8177980550131166,0.9202355782720291,0.7107431072398956,0.7138712767083286,0.8659520994323353,0.845046360529279,0.7041487489623401,0.719240799123378,0.6484047731970684,0.6228235014548376,0.5720449517975693,0.5547335184837343,0.6036750254560996,0.5451499674808011,0.5715751874323904,0.5448604078624185,0.6068360521841365,0.54443386185096,0.6173085968183858,0.822818481152244,0.7542589690426096,0.7067515800925475,0.7773079659262939,1.0418007265965255,0.9173513128076011,0.8174472559100975,1.1206798143049703,1.2962363981243363,1.0325735267893632,0.8711306446713837,0.70504095416407,0.6336479346275211,0.8820295342641706,0.7819481173864153,0.8655720835049071,0.7444022139471136,0.6407294188488891,0.537713826987611,0.4706987865752802,0.522271352614389,0.49533165013763714,0.49767032970288555,0.6342173126073497,1.4255044487948256,0.5842180372576972,0.6007643163291458,0.8119264564746704,0.9566142231443856,0.5160041708794428,0.7107680602130029,0.9181510357975075,2.869367409130136,3.321905932350335,3.428339521520329],[0.463996900016465,0.448168937558777,0.41459167944442477,0.53455456086493,0.3943643656029461,0.36607655683464274,0.299023068336625,0.3289762069371264,0.3446737814130926,0.28486603153405077,0.314141152275971,0.41363538946441697,0.3126772533430944,0.33842948667417544,0.4419981018648075,0.39451054176343153,0.4444286148290861,0.4697315819891997,0.6306654779127197,0.5553321029986539,0.6826410998265701,0.6722257191253146,0.8278734844842094,0.9702923860250771,0.8986302050500645,0.7674534528033222,0.5720504727907881,0.45955797906872725,0.4281165463522973,0.39738332668940984,0.48755176652171894,0.41284550310543383,0.5762731809719939,0.5328472829927248,0.4204859262442071,0.4389387067161769,0.3967521721649278,0.49655827803560615,0.47533696531170616,0.48066705677472454,0.6373221059266428,0.642504800989522,0.6507741276715879,0.8912086621384404,1.0670357711839895,1.7046057980475868,1.8726030182999431,1.115668654917196,1.3905993946859128,1.8527571982499895,1.399624055019135,1.25508249884251,0.9811201122929913,0.8290230885878679,1.2672916035266155,0.6914817097271088,0.7906423034297219,0.7549255769784935,0.7993293415902613,1.0656382795602939,0.8412221267337299,0.7947268839055186,0.6737934385969926,0.8606308859236548,0.7429586633036727,0.6916473432798249,0.8782507086393035,0.6160749874770922,0.7457717926386747,0.683077279041603,0.7964725397156289,1.0008761637026646,0.8166088324839287,0.9517673674586016,0.646014885740637,1.1087097073212355,0.5813657946827947,0.5429228793351912,0.5027405603563202,0.5858413170018438,0.5008190238217776,0.6495874184837498,0.8893419685023264,0.4211731048571177,0.7531280219360187,0.44198054786378493,0.5009951961633071,0.5175044340934848,0.479452768391428,0.5663190716674187,0.545231539933091,0.9045568620251992,0.6843491895745563,0.5555655943034791,0.49125135804958464,0.6274161782746541,0.544969508946742,0.5274764571155263,0.49129949137341794,0.8181238996974297,0.44496975561497654,0.5840328750207787,0.38919186055959165,0.4035440270465379,0.4298565020767857,0.4586531361233145,0.5645599205147506,0.387609581231699,0.394201999856616,0.684435474269558,0.3482749177316567,0.3058192409752072,0.29739674909702585,0.3347061362858888,0.3598967497943025,0.413439236649814,0.4469273361183119,0.5346005822843799,0.6704002057729054,0.5410706586628264,0.5570018547333947,0.4467439319199321,0.5342437165206508,0.3887681706043395,0.3152647304533716,0.34425356751583247,0.46836530075127714,0.36829475350593477,0.3469651878205461,0.4004869418809189,0.39800238599196347,0.4014495124562598,0.4129156858843349,0.44771606638827144,0.4462965945918532,0.4907602117207272,0.5471876443158509,0.43616284615832257,0.42109986118856624,0.46833735005099114,0.6879706811931257,0.854130277462645,0.600281822381504,0.48604882298403507,0.4552224717293853,0.4246762642948267,0.36509805088392794,0.37815578468854977,0.3097114064386128,0.3652590451585757,0.39027084310117016,0.5287114242147991,0.9672439945707874,1.7477879628808228,1.5479745182862776,0.6038112730727413,0.405628656244932,0.3857248932041895,0.33927665636914106,0.3426359810334979,0.39573707176391576,0.36556143045328826,0.42366536769303104,0.44540720510195697,0.5105117232394205,0.6171881722148937,0.5415220521019062,0.7510756843979692,0.7080599984871756,0.6593729465974455,0.4872351472485493,0.46443674491844006,0.4388832546921057,0.3896576503611283,0.34732641846995427,0.3806353653667986,0.3980091510605882,0.588843304747193,0.40975394321039316,0.4115908755316137,0.595106977146878,0.3624824482411072,0.412163748223225,0.4601964606080472,0.49896833121854545,0.5450389134328,0.5773730221948954,0.7438740929018305,1.289998854215315,0.9109085813750726,1.1118193917826522,1.1199656149240893,0.8152671677352923,0.784642761305981,0.5493618243457812,0.5590968237780157,0.5498274421490132,0.45676752312755764,0.43502376481676713,0.5621400164530431,0.41249841255350544,0.42299774868017204,0.401650255112067,0.41959139562712605,0.4386901709304378,0.47083894878887217,0.5223157212505398,0.5135238844530431,0.5647536129455601,0.5443434259052533,0.5999691423453736,0.6358230838766203,0.6490184696506675,0.6895978125169089,0.7614015802545994,0.7661214323312308,0.9640527333485335,0.7360098034756495,0.6160930134242584,0.6673425370500877,0.7589287488607883,1.7070851118055563,1.072277489692788,1.437941428380221,0.6303912601502539,0.5548657306558573,0.6212162854678456,0.6678268914339824,0.5988426256740015,0.48135737251852295,0.5763973586058073,0.6421199759159151,0.7677576659988781,0.5299869228626838,0.8375846336979419,0.8598860762387861,0.753175795608074,1.1879138922880774,0.5196528457423172,0.5415848501627407,0.5390863582000935,0.5884346820791369,0.7391938859124196,0.7581527742514128,0.808390541732298,0.6453331545432829,0.6365694923212306,0.855982968848311,0.7302221168139096,0.6190682422337074,0.8101829723514689,0.91730790147021,0.6982476995924851,0.7165238170757607,0.8918162786697011,0.8584139402562477,0.7133866428340802,0.738107905053991,0.661884143657439,0.6187647841904722,0.5530397866244121,0.5334598597628559,0.5901036027418496,0.513778772462838,0.5348779049579415,0.516765872220283,0.576359466505795,0.5100263681983421,0.5930971228203393,0.7734637951715049,0.7051543562730408,0.6858763534106249,0.7280478861698954,1.002910917086429,0.8603828394776747,0.7770053683490907,1.0074848861341141,1.2336344888106765,1.0254040655211394,0.8300040718101592,0.6543842305168891,0.5875810462578287,0.8380200422404608,0.7647539293959582,0.8579540653853006,0.7167736212004095,0.6357052504641291,0.4972003458860218,0.40492670568244316,0.47129878524794866,0.47006705418776695,0.4274657559810963,0.6040887835890957,1.456493468633977,0.5051681480818553,0.5367463196338034,0.759103179314884,0.8861661364162272,0.4775600799100861,0.6941253710850221,0.8677939368322105,2.753204861351489,3.293299826891692,3.2459401974185615],[0.43609687569772676,0.47491489971770035,0.5035667656108214,0.6232200725822673,0.497138890995214,0.42152648790380187,0.37567129961930257,0.364524435048268,0.37999589877908163,0.3691066684638983,0.3789315691556971,0.46032911096293794,0.38169252055371866,0.39976835196029786,0.5035661761734244,0.4350314944451311,0.5282333849972737,0.5231289344424493,0.6864038893333642,0.6242388080603367,0.6809109068670305,0.6685330676998673,0.8463448306406272,0.9551595964584417,1.055648390275829,0.8586299248042218,0.6542912663482429,0.5497274905768069,0.5063242595963207,0.4586892502562107,0.5210328508139238,0.4424467812471825,0.5579133795405208,0.5519738265241427,0.46797505522324245,0.49573581803033473,0.4646633313119427,0.5726911603809901,0.5640380329335172,0.5540287863064657,0.6726749112834821,0.7425054135806667,0.7652232256811335,1.0390980024718104,1.1162108718046466,1.719536175665143,1.958533276176445,1.208146208594806,1.456895455616753,1.995728261977109,1.5394123982920151,1.443337054288299,1.1654517258661667,0.9920751545011719,1.2771995465716657,0.8104869600862202,0.9061133132560895,0.826311926720651,0.8449883940924077,1.1676159127056638,0.9123857548641541,0.8318730092968388,0.6928050735123655,0.8462307212794765,0.7447340498062196,0.6995623286204465,0.856660562423851,0.6216581680467028,0.734335880870662,0.7247123299726934,0.7869742556363727,0.9602773072979472,0.8236705620843937,0.9465334439990376,0.6675173444877486,1.0924713850896335,0.6119776609014741,0.5693513575124597,0.5353965445013594,0.6227521132801082,0.5501855588207356,0.6842062096468352,0.8080201442102614,0.5863074580067392,0.8917184242311311,0.5374010708701565,0.5630432308163685,0.585794020076712,0.5251389669244159,0.579691397141263,0.5674081336689404,0.8952513256830844,0.6896584828489019,0.5560478024311118,0.4951110941983868,0.638715698978103,0.5624050347510464,0.5471126201416504,0.5185024999942942,0.8212839424177961,0.4950221172912232,0.621880047846635,0.4623040966251269,0.4553651698959367,0.49147804464358735,0.5054976653047798,0.6015661298909573,0.5078965993245295,0.4814178676487589,0.7134494093383174,0.4507800823060323,0.3942898562045707,0.40208395076746484,0.4218963860637766,0.431793869562429,0.5195670338656451,0.520180544289458,0.5939308277235361,0.7241425345541427,0.5871206405637308,0.613374744528875,0.4996580000835591,0.5938882928852308,0.46315860766982975,0.3858468654995906,0.4497550662662461,0.4887407550987068,0.4792298072377377,0.47783297597867064,0.5059787137266178,0.5321028691975934,0.5418352378992815,0.5711399718098535,0.5543585855603953,0.5754774522496696,0.6331780192414201,0.6449030376931995,0.5691388444581735,0.540035063188591,0.5621608105336375,0.733031488241612,0.9157256474563278,0.6577151046954992,0.5617345593398085,0.5533508230767539,0.5160204357977753,0.4726196345325164,0.47160361905751347,0.4029255399167213,0.4179922227575578,0.44994511374430773,0.5077408170226017,0.8102535792689135,1.647340732218346,1.5299031923387338,0.5600413824111546,0.45700088038284914,0.4136788479636566,0.4175356268765404,0.41626830957794164,0.4777376284655538,0.4637735551597256,0.5278193629495187,0.5536995228253481,0.5966420138773448,0.7012920814685701,0.6413667581696915,0.8384048625877663,0.7925502433958798,0.7392062286155916,0.6053300605953158,0.5807888813267627,0.5619500335978456,0.5067386413363023,0.4656865008852297,0.4612117062764085,0.48098483489110055,0.5626316485092384,0.49108314098287276,0.46708027513989453,0.6392594485592122,0.4537610142044903,0.5160385307457707,0.6015323809059854,0.6198713669832405,0.6355816719876343,0.6188755536243883,0.8003237210560116,1.312833597488489,1.0068634453786687,1.208244877178674,1.1842790238160448,0.9017553193206209,0.8674039797203994,0.6828417830996677,0.7219560045012804,0.6792646728974256,0.5985099104640362,0.5520229550365697,0.6314583921513559,0.49201273787196104,0.4644716471994205,0.47078973856588574,0.5114925112002007,0.5083751962576178,0.5307266095752357,0.5927063556734832,0.5924347057480182,0.5880223613184594,0.5902473294535828,0.6562011806795248,0.6761547123108261,0.6796598069688272,0.7001214444677687,0.7964139361316038,0.8213445697580557,0.9899938126564214,0.823543741691137,0.6805326769668887,0.7257789029702978,0.8181825143022823,1.584989381827996,1.0533254972392458,1.4154556589475513,0.6891250216088592,0.584682595766419,0.6232505554796655,0.6596139611778513,0.6605876589927449,0.5654987704053929,0.636764224596459,0.7701144698019022,0.8774753303061309,0.6452595734389287,0.8858921878428467,0.9601177142858335,0.817041478461775,1.2192017661538541,0.5956431260799965,0.6190003996881579,0.5855969185566317,0.6095459736326321,0.6993162922716363,0.7619765677745809,0.775966282446695,0.6236610625913392,0.6007877038662479,0.7558669899590477,0.6932685451817242,0.5977471172438139,0.7506993873574886,0.8541049391111807,0.6881319097423676,0.6999727401234769,0.8424242912872935,0.8703781773608525,0.7322720961834623,0.7546777637763298,0.6748528949864729,0.6296834077003334,0.5646070941975234,0.5550353212753469,0.6353153109960117,0.5656809328855759,0.5879654384130255,0.6105951736230684,0.6690526060682842,0.5917902408379099,0.7005412204760755,0.8822303268968562,0.8033016844657876,0.7537859250192079,0.8294700134979492,1.0795601931005707,0.9588067620377657,0.8468497043406452,1.1118546709684958,1.2830582583949814,1.0898133400323633,0.8843578281857274,0.7115143489964872,0.6589799124484245,0.8355953918346994,0.788367697112398,0.8984204294656226,0.7645089024924561,0.6904453660259731,0.5698645742468922,0.49353327464788965,0.5278700538191176,0.508042478268811,0.48461663053871534,0.5849900701313664,1.319785129265798,0.5683118106028833,0.5565219486609068,0.7020454862827585,0.915099100666085,0.504494624916286,0.738294738726445,0.738048565414986,2.284136883197766,2.492838374203488,2.368622321877383],[0.7820455770363351,0.8246680175860204,0.7814063990136568,0.7372711722263044,0.6331103774831357,0.5756281963274558,0.5000269054620885,0.5333948571130178,0.5484491071608465,0.5492533375632915,0.5849982298506564,0.639657917558652,0.5761472038058345,0.642455076842573,0.7267275742162147,0.6614176130893771,0.7630842921664979,0.8039946925881585,1.0026309324770635,0.8929422661605111,0.9226732526883498,0.8693294689668808,1.1036292717725342,1.1365857103045292,1.3359830537354616,1.128950816988911,0.882371837706767,0.7826579922363174,0.7446732300874286,0.6742871106070721,0.7401225124498306,0.6723233732369477,0.7330023743355707,0.762211094511038,0.6992980037625731,0.7368257294169815,0.6778118337616906,0.7534013544391738,0.7365940615082799,0.7012082490462112,0.7805158111142967,0.9831891145252682,0.9957421911562592,1.2334042382763661,1.2062750287140307,1.7977194560066436,2.051086074155757,1.2068388150086464,1.5742911156031862,2.1696134390557194,1.707019724450518,1.5941100731653977,1.3575387763567475,1.2030400384758042,1.4735717786781188,1.0197376744262576,1.1117229534677666,1.0234255238726844,1.032224353385016,1.3832909653805487,1.147382458028622,1.1091084093636767,0.9658325991734019,1.1176850897376758,1.0546800725880217,0.9708059182686073,1.1208738839621721,0.9416043993555624,1.0773146865568255,1.0143251600734124,1.106636857618478,1.26484714370584,1.130149383755248,1.2432038637313574,0.9714622487396594,1.4592452976376176,0.9160244097632834,0.8303080301586602,0.7778530490782699,0.8571348184471237,0.7495445134238867,0.8388181508596643,0.8649529921116179,0.7351443795080372,1.0013455520138408,0.711419559913015,0.7552801058570169,0.7653117656314851,0.7716289531237805,0.8310455564835232,0.8178684545197846,0.9980160769200048,0.8821872040545184,0.758852543265876,0.7112399527003403,0.8132799425555746,0.7498021626467996,0.70866076330937,0.6756575644070707,0.9031923713876511,0.6573206721154098,0.7280017629002014,0.5977804615355744,0.5898735204122629,0.6487084316376245,0.6590384101628806,0.7468511491063693,0.6395790908810323,0.6430467941120577,0.8489032801700692,0.6092587683185422,0.5394064621608339,0.5107086266163625,0.5401027293495825,0.608482016327107,0.6758500767583893,0.7347574333420563,0.8514214876888516,1.0146029473556066,0.8804478896353978,0.9154742882317921,0.7428515016938813,0.7865793188831228,0.6172450166140203,0.5335746379135706,0.5546844078553284,0.6287408475767838,0.576522220437117,0.5800613646266648,0.5670139337659353,0.6163868911364542,0.6195656390624976,0.6187800389016741,0.601032935783534,0.6297878675635779,0.6692758910673489,0.7322084746989413,0.6518087739812063,0.6540969718963191,0.7163233602805428,0.9169667296509152,1.109113105954018,0.8750559668698431,0.7562495140660355,0.7483022894143024,0.6943574613577778,0.6401854240502356,0.6215359739823849,0.5389757443244253,0.5496918623279053,0.5785305469598546,0.6362679466323448,0.9469096352485322,1.7312873462175429,1.524391626165725,0.6864260622686331,0.6047048130503501,0.5602374274525664,0.5771921847322785,0.5470866103253781,0.6179678685431875,0.6292827672419056,0.6814474298554005,0.7193437991367053,0.7443316141546265,0.7942910269190276,0.7752313416282393,0.9810281742494329,0.9159857364242386,0.8661180278187182,0.7070647918322689,0.6885197658568076,0.6781461405632324,0.6423126833030524,0.6023773261248203,0.5978039009603336,0.618993287069534,0.685755235256244,0.6448164626912146,0.6139506542416358,0.7565844815234816,0.588134968201576,0.6381818276635332,0.7134939417386563,0.7271332767088544,0.7856592648126163,0.7453145985908824,0.9447803702979038,1.3834606052711786,1.139398372501687,1.3300009435672413,1.183369874805858,0.9557268610137503,0.901142183520754,0.7677955266035243,0.8571486415523676,0.7924989329110217,0.7217926607396326,0.6918680863700609,0.7579337019132427,0.6793498311100299,0.6597589246078935,0.6502043330314353,0.6902379477152832,0.73915561490719,0.752976249624408,0.7403667421349344,0.8063204766541119,0.8619540986287605,0.8392204424501958,0.8680980189371195,0.9366847399134602,0.9615002282613058,0.9590110186017018,1.0696792121169068,1.0817264531823532,1.29348692290816,1.0455927296930985,0.9012081579633495,0.9717860885425769,1.0855989718175731,1.6464221085550386,1.5414445977305968,1.6991129166605503,0.954070989417287,0.839783111869736,0.8366166308965025,0.7819123163147377,0.8929979914085676,0.7509329673880221,0.7788872702830834,0.8308532645654175,0.9232275124836824,0.7624866473999983,1.0093416776727904,1.1368449687606466,0.9683732951860882,1.2820358330793338,0.7391365106905028,0.7469708880764543,0.7470190485460544,0.8127242674564068,0.9343073713425435,0.9090508923006811,0.9280001202216998,0.8420897322876169,0.8406085799171747,0.9828761660190635,0.8973386024694722,0.8564627737057976,0.9945311931571159,1.0930256552576094,0.9573158102468776,1.0064309593144967,1.13466606261487,1.1513795550931931,1.0296251537437129,1.0567931034524365,0.9931222987761886,0.9363601582623626,0.8394921613871003,0.8356024518734874,0.8950490000550474,0.8268583743518122,0.7876037522903405,0.8386473841102261,0.8661230458827502,0.8006802007894057,0.868433491992527,1.026251874874899,0.9396045006856408,0.9468599470676414,1.0124411543406011,1.2757831113424134,1.1123480867860998,1.0276784992061287,1.2092684775207503,1.3088333359692628,1.2144895285072426,1.0306699281129643,0.9404609176584587,0.88020326903231,0.9700270506057761,0.9178111518120946,0.9929378060793769,0.9052929835230619,0.7972206722569946,0.7088809664671248,0.6438833374405422,0.6429678918455553,0.6836084033757458,0.6988128865881312,0.8606741456919068,1.5216913973336745,0.8152241191594783,0.8203216312859901,0.9555537775176327,1.1087873235116659,0.7578304371559127,0.9227323554747634,0.8516101077769248,2.177888765765019,2.146135927186988,2.097366595462966],[0.5186528143261402,0.5459436825012304,0.590273576049152,0.6323260449140626,0.5567168246524473,0.45528728944594454,0.4068759000013924,0.3860082715577471,0.3941378552507236,0.35917937597788124,0.3514141138758244,0.43824941884271695,0.3822764035524764,0.38132939864606147,0.4650709189562081,0.3943970916704549,0.4854419071755216,0.46697135967260595,0.5962980591702927,0.5398096298498641,0.5932467282643827,0.5828606711410516,0.7752235702964326,0.8711221405129257,1.046731058968696,0.7821414987072034,0.5791559036173476,0.5036772146484683,0.46707100407138263,0.4401155544566755,0.47013550117772296,0.4445198273391174,0.49705705754827156,0.484436987341365,0.4336784540067557,0.44986251166507385,0.45090575745007905,0.5365453633232364,0.501016798776507,0.4880615833025554,0.6214811966572061,0.6539562821860823,0.6787723472729525,0.9754084830128947,1.0414356942419265,1.6951736391444763,1.9562664220186383,1.154339044962041,1.4001682485906126,1.9977698795377064,1.5099872241738885,1.4719331009272678,1.1953638098207702,0.9965242040404109,1.2737619461178433,0.7674057311067309,0.8421120078387675,0.8198455372566481,0.8283042292292291,1.1088764495024817,0.8310619447268448,0.7564139249013329,0.6098831903859623,0.730173255400251,0.6350936672528009,0.6287449679433346,0.7503881572904134,0.5589563057302338,0.6906532294633484,0.7026031491466159,0.7862137426436437,0.9589097051950095,0.7980577080895931,0.8986957820561616,0.6190546165244338,1.005786367596129,0.5625223522019158,0.5018306627229694,0.4891928185459941,0.5752323667479904,0.5177957185497962,0.6716044305542082,0.7351618127612198,0.6594626140644846,0.8980147230214506,0.5421591674230785,0.5151094335606028,0.5691901079727194,0.4771822858721041,0.5340304063060697,0.5050460891211145,0.8322170480908971,0.6244965168429751,0.4770122860003147,0.4500300915047109,0.5672255058527063,0.5417481274397111,0.5032366010547926,0.48409333733461535,0.7814741888683668,0.500154081214863,0.6233551495051199,0.46725325840613663,0.5022406771630645,0.5553520510188186,0.5772915351395062,0.6815649766092462,0.5968839508104579,0.568252155531357,0.7328305790458935,0.5271785768570171,0.4637202073781242,0.43931720603336216,0.45108292502701086,0.4368479807802686,0.5134698937826754,0.4975671005617465,0.5511331701544399,0.6556062488787248,0.5398747905247875,0.5711817579546129,0.48802373175685637,0.556615177764974,0.46792610893637354,0.40629200055347675,0.5116962381487791,0.5704406298663093,0.5532472790594656,0.5596307322192257,0.5804311216079978,0.629664049018332,0.6474256559578127,0.6594295640823415,0.6159839960078252,0.6528347562022374,0.7103127725613027,0.7186397242127801,0.6522305446954948,0.57247672008555,0.5645065324942058,0.7064045199555734,0.8644733445508801,0.6157645367611949,0.5307922673529425,0.5268704548343212,0.4900504228699704,0.4618583333748189,0.4629058052191333,0.4242887017807739,0.45587635157979667,0.5079822981572435,0.5147081640272235,0.7996821681979415,1.5977850836712824,1.4539087490908567,0.558514242936132,0.4833066809095923,0.4538370544501449,0.44170762980191697,0.45347112318161165,0.5269012945329397,0.45632881001856834,0.5259421637247288,0.5539131255967721,0.6233863745842823,0.6875257609192427,0.6959324109000284,0.905593150753371,0.8833557964229848,0.825651050938753,0.6756292968543447,0.638903496479993,0.6287916968298306,0.5611275568343929,0.496695810300439,0.5042412890249497,0.49188949898938317,0.5527878603442246,0.510707517224647,0.5015711615344083,0.6258920985848018,0.515991248240085,0.5820635206313256,0.6869912105384797,0.6742145726093374,0.6628086857228048,0.5911232623269084,0.7825396045029227,1.3342412204250766,1.0371504738676705,1.2282087904998198,1.129928737492583,0.920699428871234,0.8675437703495174,0.7315011270677436,0.8454374654427694,0.7877626634206161,0.7034608033861713,0.6599534070968257,0.6983963937158515,0.5818536316474069,0.534280365495142,0.5454165552694608,0.5924118930420966,0.5693975290278263,0.5693680377553243,0.6612237861794653,0.6634348722279586,0.6406306660643712,0.6453219854200041,0.7129006616356265,0.7346308875884848,0.7261532898384392,0.7534892615894933,0.8712911030201784,0.885227693172732,1.0334288168173376,0.8919066922219698,0.7857807278321984,0.8047925228040592,0.9148975836763084,1.5908178794892163,1.0871534003834828,1.3130815754210792,0.7373571735781274,0.641206241378298,0.6614965945835164,0.7261311000593106,0.8027365502562516,0.67195309144929,0.7200509757756027,0.8673864893462904,0.9849763829527376,0.7560676278382745,0.9373259158564974,1.1215844335518506,0.9357565821035485,1.3182347562444017,0.7213463098619927,0.7117240352825834,0.6382683490410267,0.634195033375238,0.68000019452895,0.7315850812121446,0.6971973806693522,0.6251418493788095,0.6180370371070796,0.7067206414235535,0.6465448984938116,0.5932929456322404,0.7420274279545669,0.8493341014920684,0.7170602119970516,0.7294022905355483,0.8441964096416585,0.911262558877993,0.7684181793137015,0.798646651689541,0.7297417280023728,0.692198436182752,0.6139065763405811,0.6181667665851749,0.7374668336968204,0.6439321511892423,0.6434395631674149,0.7095115976410509,0.7622092483380283,0.6717235070739268,0.7992601890561051,0.9848265369052163,0.8608859683589918,0.8527296709435014,0.9196386064194101,1.162960622807966,1.0245940534200177,0.929415088820793,1.1932618424526373,1.3542775937380913,1.144383658125733,0.9569052630645795,0.7866624338159124,0.727845524347023,0.8933751020258868,0.8984023147945166,1.02515811390237,0.8472148754774457,0.80795630447904,0.6481428643525413,0.5998121062306212,0.6297146709587353,0.6049705531087319,0.5237364318310651,0.5549858770809978,1.1925475064366913,0.5850764020549469,0.5614366077748107,0.6213721542069263,0.8493126980782463,0.5100989350478878,0.7213070954862988,0.7381914266053237,1.6307733144075507,1.6723198519220435,1.6472506538616598],[0.6029650337896443,0.5895723226863622,0.6188804471471958,0.569023501561544,0.5680615317963313,0.4444431388136376,0.3761945123786907,0.39192523835468673,0.41312752511037726,0.3861037339718999,0.3950955191797837,0.4675933088561994,0.431864356137298,0.43786391331960267,0.51676025280451,0.441252162632236,0.5726292310475704,0.5815493182227071,0.7387992789938836,0.6831931547250509,0.7259734479725773,0.7249603413147395,0.940456618142823,1.0608371018742613,1.1768675264553285,0.91661707276098,0.7169686001670698,0.6324340908440995,0.5561646706866382,0.5008933964305083,0.5426072036109914,0.46920810382123973,0.541151974804599,0.5260725103660087,0.4981824545610296,0.529780951601784,0.5014936836401995,0.6331560884699073,0.6159914582025038,0.609725509770959,0.7301279212578448,0.7805088993427096,0.8385548574879915,1.1579475469494886,1.1992098133522406,1.772338072025004,2.1146283556945193,1.3295396096995344,1.5442568552227085,2.142981536900139,1.6587417488543248,1.624010693135855,1.3513785242899405,1.0815008017933927,1.2835133680068564,0.9390314996096765,0.9973086121647008,0.9734136734317106,0.9633546229984434,1.2020024097367903,0.9291640611062149,0.8139998453583935,0.6975491510398932,0.812676445397837,0.7510104637365866,0.7058094093630835,0.8151812739862098,0.666642633186964,0.7836679222597822,0.7955475189037041,0.8595744855028814,1.0167339002162996,0.8582829979611141,0.980518726904017,0.6932208116868123,1.0118855955266401,0.6586258395971564,0.6012628652124244,0.5971932148274252,0.6729753710560178,0.5907589165407411,0.6957215000302563,0.8016379287427551,0.7496784890537543,0.9174964962067044,0.6109770886895398,0.5919488614324243,0.6134172996161881,0.5695166498116573,0.575340218101989,0.5921972538413648,0.9049596796624332,0.7151128679079428,0.5428894790365362,0.5129187295628523,0.6289933380957372,0.5965824318395183,0.5454826111443732,0.5157597071302232,0.7829825739160452,0.5034419753888124,0.6225060427887779,0.4566123614890413,0.4968610044151833,0.5473123936225804,0.5836703704792573,0.6626263800073011,0.6063723786508345,0.5527030963107271,0.6863181799631207,0.4914886369005342,0.4781011103558326,0.4339613366564507,0.48260481655634013,0.5063309826402813,0.6116363140916493,0.6131894404341364,0.7189422532674588,0.817805343682719,0.6607810009977664,0.705146349378588,0.5865100093256519,0.6542266685808577,0.5373715377261584,0.43958688886394837,0.5375122968310362,0.5523417058683271,0.5561886070866772,0.5575173014638287,0.5865378080939918,0.670843419850766,0.6822302655257361,0.7327923313544171,0.6541243470941673,0.7071682162120075,0.7401941096439618,0.7531602581897067,0.7361168886308006,0.6883816627922918,0.6894213565671559,0.8903255078999949,1.0745645550299527,0.7957476633795418,0.6873519806404009,0.6815045555947038,0.5965868774388524,0.5780259089591409,0.5323798787653552,0.45300770238305993,0.46604041699185234,0.5000070896115629,0.5254610457419145,0.8046529361046596,1.6004496401961859,1.4490038979586006,0.554595937482977,0.4811002531409298,0.4544038913974815,0.4526579130310286,0.4614430356995643,0.5582279774075684,0.5461691000183716,0.6450850824065003,0.6563919571558635,0.7208740358337862,0.824440169945304,0.8279346311194047,1.046217136987394,0.9821054816317172,0.918583041402473,0.7717075914840745,0.7410575320060858,0.7117093397092037,0.6541053687786593,0.5696809301039419,0.5348874188841505,0.5227268174654579,0.5679602392895252,0.5618628044224843,0.5471445265124765,0.7715268847028531,0.5740085488878667,0.6734208602852193,0.77382942711785,0.7482419541080338,0.7495029246322176,0.7372297446010964,0.9280203414710757,1.4891675949596175,1.1717607537761388,1.3223344325243578,1.1777874457462483,0.9680741549830778,0.9390203998415909,0.8317492817376866,0.9776951808923244,0.8645562878133,0.7639959281327985,0.6956190823687523,0.7278741749978679,0.5942560689054855,0.524856569557744,0.5365593894060017,0.5945035054463645,0.5861308555633001,0.5779432942029328,0.6598251285651614,0.7217137120182655,0.7260540875395933,0.7284477231970752,0.8163761176923188,0.8935135963079869,0.8946207136582581,0.9105786888708526,1.0555577875440942,1.0326260947703025,1.2135351907813732,1.0204393619361687,0.8878791495704006,0.9438253248586388,1.068778045260927,1.5543680882041728,1.2115445724341538,1.3610872131602272,0.8289464794746463,0.711890603177513,0.6880818471225922,0.7340199522885787,0.869880309143931,0.7181729477466016,0.7448798419783773,0.9270237611912432,1.0408379581712652,0.7995458460787486,1.0124076287529316,1.227034249054929,0.9912373700516485,1.3721785918809488,0.7517717524594104,0.7254750530010059,0.6454788797597961,0.6311239275309248,0.6761506123872528,0.7560794623228625,0.6781138306400444,0.6164881327399622,0.6626436680995351,0.7112693147619688,0.6736358642880937,0.6313864549874252,0.7937739898917796,0.9004884025588334,0.7947792113373152,0.8298715916783299,0.9632126405493803,1.0397696453775798,0.9270351852368823,0.9649670278203807,0.8758267629947908,0.8124601246359621,0.6892726119797017,0.7123612680015343,0.8525923762219565,0.7393705939201174,0.7191022952318303,0.8056048163815955,0.8567787518204495,0.7317108032440225,0.9083184670662948,1.0954783572784572,0.941384540233256,0.9211393138540706,1.0376839858789246,1.2217036596929987,1.105977805271705,0.9964772842921769,1.296746762578513,1.3581091736828472,1.2518789845675613,1.015829562247878,0.8471767465546549,0.805289853471756,0.8835890689938001,0.8790698124249638,1.0255959150582536,0.88327028642958,0.8142819778560579,0.6480486120680965,0.61392643760431,0.5637992647354176,0.5943704017798765,0.5065142519316802,0.5430524904022913,1.1276807106606805,0.5828236233673154,0.5832740968461443,0.6033659207355163,0.8308467347846921,0.49926508188908447,0.7084707632183893,0.7881566441989679,1.4614093988939314,1.5459399542188201,1.8022307065381293],[0.5114020540588533,0.5402371451976181,0.644628861572295,0.5926081792070709,0.6292433999837342,0.4599227804853309,0.3635722532336822,0.37268771127090106,0.39256415584079757,0.3262218903768025,0.3327697021941183,0.4336062027816977,0.32896256751936587,0.3167000227429437,0.39897732200328306,0.32531630305821496,0.40602506457663645,0.3775886640870192,0.5222882181960544,0.4557546970909001,0.5358711355546203,0.5444999020227542,0.7991945251393893,0.8817084168481066,1.0872887874738655,0.7536808800763841,0.5263512038638579,0.42774714019302146,0.3932817132243771,0.3585734405211342,0.3860909058401839,0.37873054253628285,0.4153813456727084,0.40753712618261834,0.3768214610335426,0.37685369414057845,0.40237594926791687,0.4804496229967139,0.4366997847383878,0.4525191790944984,0.5763511865885637,0.6005675097867909,0.6478329848881329,0.9539387779741728,1.0031185680185926,1.6524646363198647,1.9968818826775354,1.1522011522710682,1.369523483698776,2.032934083550229,1.5131289960218162,1.5238687447080532,1.2373324902515663,0.9881887235762669,1.245408930430823,0.7839869721383629,0.8459114431011845,0.8112800308254823,0.809196649686481,1.1088104937487013,0.7567806497582922,0.6803624290441417,0.540261335465493,0.6527132314327955,0.5741309337715038,0.5579130209295378,0.6925619633933701,0.46590465541590276,0.6172556688294026,0.6310898815006982,0.7417208446479641,0.9175596245944149,0.7142774249040068,0.821627512649406,0.5522436583815644,0.949603172837561,0.48385763351974254,0.4236034252661956,0.43710143481070357,0.5523128455204561,0.46941012029890633,0.6618174024419234,0.6442275941698684,0.680273856587684,0.8439768865910043,0.4986341097861461,0.4567566820525536,0.5512138254914737,0.39996529280965304,0.4678904751421503,0.41856838583379624,0.792331182452946,0.5782559823347242,0.407676016499528,0.38308671046151827,0.5140978377791736,0.5199321449926333,0.46211644167706917,0.4430310530087596,0.6764627377108856,0.4349608896097033,0.5941410582646777,0.43344917980773534,0.47813997495578353,0.5395664282926015,0.5499658771489422,0.6565986824841241,0.608760294422161,0.5843243101534848,0.7034901387519601,0.5279648187598085,0.44084701031646134,0.401568088161003,0.41290205815518516,0.37755184359094157,0.4358746072837891,0.4386286634397725,0.47831584075864847,0.6015959998236673,0.4384460503413662,0.4753280491313458,0.39327232626953706,0.4615265629810856,0.3541489376954957,0.35203007202069525,0.46120983698891516,0.5638798442705426,0.5251218618157882,0.5268252068296094,0.5654145165843093,0.6100537910920392,0.6421238632261366,0.6699251472724019,0.5876507581697532,0.6481788375961144,0.7364229500296647,0.6987437332817013,0.6164448079168502,0.5325164857271455,0.5094242774459622,0.6152167379018059,0.8098382006818736,0.5282111147607689,0.4437489253944486,0.45997885831784935,0.43327206230723636,0.41435016665036933,0.40892749300759623,0.37655887500804835,0.4066872118590122,0.47311844263149083,0.5101499230717881,0.8113620661939263,1.515319508502272,1.3159847898744792,0.5058173382405793,0.43031727096940803,0.425847304409756,0.3883935275228237,0.4079099967208815,0.49031603144451336,0.4309229371817103,0.4794894202471686,0.5202946618956843,0.5942524754118307,0.7244894292028243,0.7106699578639332,0.9268179947299695,0.9131515584470524,0.8269625801285722,0.6636136535076852,0.5995890204372352,0.6092591708558038,0.5428883300978585,0.48075520295885443,0.4515602673257867,0.4535759611636988,0.514100313797707,0.48937862915705516,0.46349251005746034,0.6389200738010132,0.5004148970822154,0.5675764830321367,0.6984819102998128,0.6666695604287303,0.6621427008489047,0.5888211235730652,0.8340851017677221,1.373806872211897,1.0794875637928323,1.276386447280046,1.1320472750996942,0.9640721205317305,0.8887141384516494,0.7496013922651131,0.9490486017249341,0.8037559675944753,0.730354997609587,0.682001264114495,0.7042384797627346,0.6274612266100825,0.5930241617153575,0.5906896080932514,0.6534624097302144,0.6569297540545576,0.6596454834338255,0.7183558468407643,0.784723034638543,0.7809840631119919,0.7778558115453378,0.8537368415963839,0.9226363039750742,0.9135212444470165,0.9178092321151851,1.069446677485194,1.0554110459606225,1.2306380803484174,1.0320702214721722,0.9301555956709493,0.977953945489894,1.1109804947254014,1.5406406436337718,1.2536425071156503,1.35529503857904,0.8962193229704017,0.7749044890391892,0.7303226343172635,0.7875055553711872,0.9197551998707173,0.7643247438004604,0.8036647378404208,0.9750941946377275,1.0847019878025994,0.8281681051139801,1.0083864695112015,1.2359844731228384,0.970005592258828,1.3055512694369928,0.7633761057885637,0.7194955974721988,0.6547053506054141,0.6716318210590005,0.7269992066022186,0.8021634707911679,0.7234849386160224,0.6665378208278878,0.7231154630721266,0.7719646549661842,0.7227307485601034,0.6990731693120046,0.8321924500263899,0.9290660192761161,0.8400924782023864,0.8712135753648924,0.9935505677552404,1.0708016288417943,0.9526675734238441,0.9844869462686165,0.900095579949402,0.8622138987416902,0.7577277561084185,0.7869465229407653,0.9111303027936023,0.8053570568386906,0.7880301439694753,0.8618191710075087,0.9005141515985464,0.7799946307776396,0.9572042967979486,1.1229693900132665,0.9582080082548676,0.9448681034024331,1.039453380876053,1.2342818344550766,1.1003626156393564,0.9995621490339363,1.264723297675611,1.330215263202521,1.2341565413199616,1.0176590676602235,0.8721317365004952,0.8450906534820121,0.8897600191851478,0.8852072019731447,1.0242983009219546,0.8853881230868664,0.8342955723756532,0.6565792912041352,0.6135663716760835,0.5867776890912899,0.6528998304383336,0.5604991652625309,0.5841934745764626,1.0232183195868885,0.6209552352012533,0.6225583864805452,0.587394300814561,0.788772343152756,0.4971747432684734,0.6730268611039144,0.8197872243696214,1.1977740936921022,1.4272748002374607,2.16198198789908],[0.4208949925760137,0.4621554408939416,0.56391228414557,0.5018014997152448,0.5596536280229153,0.40171032194121215,0.315554213101732,0.32014544259478667,0.3828985512539598,0.3173856244114666,0.31920087261584007,0.40875215242583207,0.33339268440319675,0.3218798526904022,0.4040286453718247,0.33907742531359863,0.434078826997876,0.40916369152232007,0.5467606768052075,0.48950499545823123,0.5608584306854103,0.5608122417628397,0.8638901865068678,0.8990319402780449,1.1401756548206485,0.7887442840163791,0.5666201143259626,0.46830573937708814,0.42473216876511855,0.3787639244850864,0.39844557264616987,0.38106552885144285,0.39951568412006483,0.41876489044449894,0.39761823170887867,0.40924566464724715,0.42466528050703095,0.5146539063605113,0.46909966443370643,0.48203863350970894,0.6079064286893056,0.6360385061663776,0.6834146228794266,0.9677456592899041,0.9931907872119079,1.6535222057190866,1.9892513613503646,1.1535939678864315,1.3688309355523536,2.051159323220269,1.5359452740973927,1.5625075302081144,1.285721145064033,1.0389377633430277,1.2888215176830116,0.8370725393588082,0.8922691518451854,0.8530862801305181,0.847717628889838,1.1317883055153675,0.7818034703674853,0.7099343692412176,0.5547489640131281,0.6595153316340102,0.6012580668188496,0.5775645466407959,0.7166844069654372,0.4915473670139551,0.6289422320738962,0.6381469864590266,0.7506670920837231,0.9329145120352754,0.7049404047628747,0.8095638294993784,0.5582026883304267,0.9452674476376146,0.5266950473904422,0.464118721967579,0.4750288966081596,0.5846565738775884,0.5175690395632359,0.6856129250409794,0.6419354802273072,0.7426364412014531,0.879912310965007,0.5241867765303978,0.4944749758645067,0.5702058221448707,0.44306863152431664,0.48460211582294976,0.4512955534318842,0.7956703058503435,0.5908019174230206,0.4093152415984141,0.3876093094020131,0.5183441960233185,0.5423251451500458,0.45068001596590856,0.41816317641748246,0.6436106818742541,0.3984227221076059,0.5777478360370971,0.42060067481123004,0.4420650930037909,0.5213472989565454,0.5175276790972851,0.5954125043361206,0.5874098548734354,0.5324402837764896,0.6557080019955663,0.4780456220566971,0.41314922655117264,0.3702145638640217,0.4061550098487945,0.38498599726885796,0.45732922715225544,0.46628355901847657,0.5199070147409519,0.6297673243762663,0.4570435404951661,0.4923457913295484,0.42289402194958564,0.47946164983697775,0.3703594802443866,0.3434025741356891,0.44952064249333434,0.5461863189975817,0.4938820730856944,0.5008731686205169,0.5379619913007647,0.5898428696474476,0.6175530115128222,0.6541367910721548,0.5713255429179884,0.6374641062631746,0.73256085917745,0.67762330165725,0.6303056814048293,0.5581810689991805,0.5394946599714933,0.6360818167070177,0.8179884692728171,0.5546913313988121,0.48333464745850563,0.5040576191622783,0.45971609757598736,0.44000355928558044,0.419552221487329,0.36622823801994975,0.38351101977564117,0.4212605131380396,0.45402523239749665,0.703238718206481,1.4362842458038423,1.2686521178473336,0.4534312755116627,0.39929130272260116,0.3898474995301141,0.3656641847702474,0.3890519372722123,0.48849984893215903,0.44743549280259187,0.5046803805635997,0.5493150975079565,0.6111307994943715,0.7371763620456039,0.7211064354580193,0.928762245641575,0.9128451823569974,0.8318197832265032,0.6695880414106199,0.6152449389107559,0.6235735846520896,0.5578599689188979,0.5013684859452915,0.45041952746396635,0.4643566197702001,0.49934326782624444,0.5029405012107393,0.46792228727806373,0.6478064269407202,0.5004714689314784,0.5745064289334754,0.7076750739806035,0.6746453536932128,0.6838969697946838,0.6102724306111049,0.8576503166817652,1.3713589621880966,1.0841790354814618,1.2765317326480379,1.1413482906092158,0.9672209637805987,0.890779865562897,0.7491097317291274,0.934637979214725,0.7894021479368887,0.7098518154041535,0.6373512463187376,0.6693221301332689,0.5547929726645051,0.4861284566095942,0.49721327580508784,0.54454802173421,0.5323797656276071,0.550312180096639,0.6017861631205321,0.647831522509711,0.6259937598985996,0.6463494625332438,0.713771575091366,0.7652380864027594,0.7729648486867982,0.7977175248300733,0.9467639762313687,0.9512111375033635,1.069592094743656,0.9001563873471341,0.7712168465207683,0.8142176022567772,0.9699523683455734,1.4532447586442518,1.178051108996256,1.2336647709258337,0.747647624375359,0.6426350732952285,0.6632740978060371,0.6940673174950247,0.7958548211064931,0.6587425188158113,0.7183376700173117,0.890814062952342,0.9713876479553465,0.7552201106721406,0.9960670281613251,1.179514332927717,0.9253927770846643,1.291934178687032,0.691488517241665,0.7102764387086228,0.619892197456581,0.6184174150919489,0.6820519468267308,0.7340608803065257,0.6783212582954848,0.6089152029817283,0.6132706177884211,0.6578862723855827,0.6527414385058385,0.5943055667542126,0.7137204225365766,0.8182158288827833,0.7184989221730307,0.7284514560487716,0.8399508010003542,0.9490795105858236,0.7887345971375089,0.8006455848609318,0.724679694342561,0.68744800291522,0.6037956646536662,0.6169051226831938,0.718525647483771,0.6336393338390695,0.6299330489918054,0.69222275377107,0.7379887584365881,0.64284958363733,0.8083041535011953,0.9942989657211688,0.8418406891497416,0.8536159688455621,0.9501612948748119,1.1476233897985082,1.0168845048514727,0.8913167135611476,1.2370831841691505,1.32823940516398,1.1091294107952898,0.9269653243983967,0.7628219645525454,0.7416866897553298,0.8218321911109502,0.7621349573214088,0.9114528741991617,0.7677481797766738,0.7180039421603596,0.5813714703848495,0.5558589388870008,0.5399772470776478,0.575831173965074,0.49760554368656945,0.5194817745563958,1.0211983290905084,0.6138199106483582,0.5540134477958268,0.5453502664930469,0.840220309409134,0.4425987972113143,0.6452605428379368,0.6642872835634516,1.2529424113402106,1.3171124765716005,1.966982012693806],[0.3914960747984467,0.45369648869066925,0.5557291904806944,0.5162622571155193,0.516851510927547,0.44449493945843954,0.421589552450202,0.45005432263205175,0.49413150741498024,0.44217216536950465,0.45977163418039035,0.5293576291136526,0.4757187156744713,0.4739334717546039,0.541804924880271,0.46471636262940924,0.4894262754348778,0.4928131612685284,0.600251012546322,0.5429705214008747,0.5817926738854895,0.5752046778312029,0.7857338672097771,0.8708901673866867,1.0783991546207317,0.7657873935465301,0.5414794405441979,0.5040532139059563,0.47905210690620814,0.46291744187714123,0.5312523587602159,0.49767471869696517,0.5558979361580837,0.5341378804811718,0.48391382181931303,0.4804063374444285,0.49264945888922496,0.5662269640995502,0.4710864069017229,0.496294387229258,0.5837936181919469,0.6234166210119414,0.6684026191838623,0.9875013009924514,1.0102030323397522,1.639911695076835,1.966543674845718,1.1628988022579414,1.3730472864481527,1.990048672238422,1.4900232222369107,1.5175108913831559,1.1986454778503126,0.9531631878553569,1.2118017678587092,0.7879971855871473,0.8528438622820865,0.8570933341418474,0.8399898296300591,1.1118880004021474,0.7613052201396249,0.6823530075716816,0.5921160265174644,0.7166796584927159,0.5923864040911555,0.5905165777692332,0.7354926374072677,0.5404320772802593,0.6567634467303722,0.7014296047141463,0.7676174640864286,0.9433494851453886,0.7485654271064467,0.8667442757686968,0.6162467945275454,0.9335383025140125,0.5607023809617963,0.5201783543369679,0.5306220926800255,0.6249244576895057,0.49123830835902765,0.6389789901859944,0.7488845544286976,0.6529225850297259,0.8137254042429685,0.5131058881365704,0.495804663188277,0.5647275437879682,0.5034722987202191,0.5356048674551654,0.5181105775487965,0.8802841241338001,0.7059244026383678,0.5550385228695922,0.5383499763646008,0.6564222261709836,0.6603423561872018,0.5885484366892831,0.550775657519867,0.7397490801714294,0.4838149324723722,0.6394002936179,0.47357046178988343,0.4912786108936078,0.5285618888085086,0.576648989432029,0.6171857939469755,0.5800776350440336,0.5237110966238044,0.6900997371091002,0.4961283884001282,0.46238485677716884,0.43701954576556845,0.42483708274326076,0.4747654304766716,0.5038688491235198,0.5165770224710408,0.5278540774688131,0.6400328731261901,0.5469469127068963,0.5765964940669489,0.5052846170928328,0.532027847196335,0.4416209136599181,0.4346210077700722,0.4383805572822705,0.5245425255093245,0.47426575099521145,0.5103130025235069,0.5023549257472264,0.5747265164649624,0.5918961832870853,0.5852184880885765,0.5236388044454899,0.5540132648304911,0.5934754581182105,0.6301128099396582,0.5716649767917488,0.4931604488457548,0.5072487839181026,0.6472748762007131,0.841478957684039,0.5766367984584274,0.4938649011106723,0.5037436338927295,0.47646906437725345,0.4588465522517515,0.4765766032018277,0.44326234700005174,0.4785572924698118,0.5084292644269274,0.5896838503685469,0.8308683976310699,1.5309443196974015,1.4083221965073256,0.5907794281701769,0.5282124687375402,0.48296758951122043,0.4710850258351496,0.4591147716482922,0.5020227690191676,0.44827364324155156,0.4986834596546709,0.5149996220187084,0.5956713405737605,0.6963789281541303,0.6904319065239168,0.9260053423150415,0.8704587927049072,0.7960832931416464,0.6255661063016004,0.5701643630659141,0.5605405880681283,0.5276645721745424,0.47864130595994153,0.48178837136283215,0.4658689440310532,0.5270309325104351,0.48520050037830065,0.46269233722379033,0.7563159282783753,0.5114725537700966,0.5801076499993054,0.6610663827318446,0.6411283619481402,0.6589155261557805,0.6460307299644902,0.8498402433388631,1.399406109081399,1.0818439017332857,1.2841954922064642,1.1382073449994925,0.9018771897706995,0.8805105807755583,0.7481334157290233,0.8615045043111093,0.7599221528757998,0.6909978671561412,0.6102775880454918,0.6896268613730817,0.5371772803993135,0.4628586176050118,0.48759125089147276,0.5127841470148647,0.4966238395492076,0.5160797100707337,0.5582719658380021,0.5759119283963949,0.5740184554720974,0.5923853203367216,0.6605309623457343,0.7005329497299121,0.7091556001448619,0.7459926234759117,0.8779995505846863,0.8908327825637153,1.0216964380262512,0.8513657064844259,0.7099120350993763,0.750513435818403,0.8752185997032983,1.4508466598738747,1.1241735345111639,1.295851506896147,0.7030202660272058,0.5896122528892621,0.6291422253901745,0.6399652630857641,0.722385662426384,0.6096955423671463,0.6840571487154977,0.8283444485592495,0.9077321545037732,0.6991134176548242,0.9586626865894977,1.0995033640949718,0.8799518250276783,1.2769228478129548,0.6422503867270286,0.6971252644235938,0.6119123891770588,0.6028958572763102,0.6758610521761812,0.7270183184634648,0.7281448705603741,0.6015972582763601,0.5932891388103843,0.6813291828613276,0.681568063228034,0.5735096331082409,0.6952163485749385,0.8124883003321607,0.6632750541551015,0.6648383965678775,0.7928378734373445,0.8705957031937547,0.7236148377996703,0.7358058348713049,0.6734559443810914,0.6249623523885939,0.5541784197347913,0.5635895698105082,0.6461701062942806,0.568817136930838,0.5714776689554271,0.6148326682155,0.6720087828043196,0.5874290140513253,0.7197184276163312,0.9243594625826175,0.7859732358026156,0.7765511262231423,0.8731695798466982,1.0999468471277114,0.9666453018064464,0.8413337153598018,1.1893189055146713,1.3091936191835927,1.0722082495268446,0.8969618222815539,0.7183240558061528,0.6867939400469236,0.8110333118235957,0.7395931328589888,0.875797686799303,0.7205639865147416,0.6733748652405946,0.57138424237077,0.5434064975620759,0.5194498075233048,0.51258060942682,0.5105862396809081,0.5542373035483086,1.190631633732611,0.6707807584609391,0.5361325417055743,0.6406722381216817,0.9910444475252206,0.48962934850648915,0.6573142423341096,0.613531939944904,1.639749506818249,1.5627102944408127,1.7013832571372778],[0.3597846364790129,0.4209692496262994,0.5092802031966732,0.5061697169130702,0.502110303563195,0.3576413429174977,0.2451933384833043,0.24637068494864228,0.3131967471326026,0.2412499617224582,0.25727604573253043,0.34901630398380723,0.25985921277673335,0.27735055324618907,0.37780577104809276,0.2967776450158805,0.39438292845890327,0.37145310596871584,0.5135972923306588,0.44731703276607354,0.4948302061711362,0.48215383744408014,0.7962344248114243,0.8170760194072684,1.0622523883868868,0.731030237893507,0.4944613713616993,0.41297358424017194,0.37259500237797505,0.3251085873103272,0.3689484684364122,0.33067775088736345,0.37949246792711955,0.38820251027562885,0.35289110988585265,0.36252465025640457,0.37243202131836006,0.4531015769194788,0.3862359910256698,0.4099664212903031,0.5491706859827461,0.5672442008369947,0.5984246175045553,0.892028705026097,0.9457070523250583,1.6430421372685342,1.897638450801661,1.0820947669738332,1.304627964497828,1.9216887249962837,1.4328493803165707,1.4243977111821777,1.1560398022520177,0.9335994793294317,1.2257471345752036,0.7159776805439414,0.790325664365543,0.7895140730630712,0.795935500289808,1.0388694853016784,0.7153266321428254,0.6580959357650018,0.5042788112002002,0.6136200037012947,0.5388103124161588,0.5177596747797105,0.6590736300183452,0.45820542916792273,0.6065176252862878,0.6065730044625934,0.7293436753544845,0.9034052503303446,0.6728270845924732,0.7780776216508577,0.5157996630855988,0.9014510359622397,0.48490768171257204,0.4211944909424436,0.42141314932468465,0.5279461661936979,0.4412806582845682,0.6136253899759443,0.6334354310917606,0.6274176290803889,0.80879335132878,0.45290700673341705,0.4192508217330381,0.5209593726047557,0.38478035978177977,0.43054141931201206,0.4129560146069179,0.7785539588270175,0.5656666548916076,0.38696794419285524,0.35633183831623017,0.4998558521523259,0.5195618905635205,0.4249965184386616,0.38041065518232753,0.6045873649708633,0.34536825534262555,0.5146647222864881,0.3480288334339102,0.36108577329863545,0.4419738038520949,0.4624312972184106,0.5139428402178386,0.48621299647916677,0.43948347396677945,0.6213330799787178,0.399558643676034,0.32777472682357717,0.2875616392639602,0.30801255597747323,0.3079579400006585,0.3992821163567807,0.42052086938508154,0.45222795530535653,0.5854295999959325,0.4277151921420043,0.47659071879957204,0.38412359409392133,0.44085962295155595,0.308935993667473,0.2540443877218694,0.33948999036977684,0.46099312993539,0.38804940936579513,0.4112305649656159,0.43107854965712966,0.47944259752438206,0.49542424795018924,0.5166908552336673,0.4669096665129877,0.5085999243121386,0.5984541332947235,0.5731401130039818,0.5099418138466104,0.434673613722056,0.4306594548088875,0.559648142911307,0.730804906404441,0.48065342930989685,0.3983940493476073,0.4157590804962132,0.3786680270983244,0.35144657812951674,0.3512518336040582,0.2878450916265009,0.30208421264503194,0.3459065129075708,0.39236115089750745,0.6515575304925256,1.3814233914993779,1.2871585858453782,0.401092425955579,0.35210472465662196,0.31300602754460904,0.2968496626773898,0.32369978373342273,0.41219558903864484,0.356213364112932,0.4151381518766505,0.4512450538747941,0.5222199561821278,0.6486416160288979,0.6105219774705485,0.8158911590531568,0.7899824985362919,0.7242982494638642,0.5608976779890265,0.5050216356443187,0.5019529983196713,0.44723955735684207,0.4021038045970878,0.38184120556078416,0.3916893707741231,0.4471233534539587,0.41808784643412455,0.3782018750403261,0.6325575389650574,0.4071595778165181,0.47999272789144626,0.5723365780987892,0.5551025402539658,0.5741866492752412,0.5550880897929561,0.7648584203297615,1.3406220066471977,1.0018653598459948,1.1964664820164501,1.0853737929850682,0.8654354141284526,0.8340885492750177,0.6689051915481901,0.7611439968799415,0.6689838550883854,0.5848006525340479,0.5139765644773271,0.6278535278734256,0.4729894219157183,0.4213618548260969,0.4351682104442585,0.47089246364882564,0.4685403936213605,0.5055171795241614,0.5377830240847195,0.5560494346690003,0.5547756669092613,0.5821679516765973,0.6459631586182703,0.6658879803507892,0.6775011898295538,0.7302621401432108,0.8200331418220581,0.8508198144829996,0.9481893865148959,0.7759090505554499,0.6499987589862558,0.6836908132041746,0.7753804602312587,1.4822464222455625,1.0796165966669096,1.3056070492614535,0.6593518620013383,0.5477765171353945,0.6064568995269589,0.6038437458163288,0.6371307347842343,0.5426136836119647,0.6271802896703264,0.7589726061446438,0.825199968558567,0.6146202607519461,0.9090631020832779,0.9899744649956242,0.8024631857081119,1.2237119214571182,0.5629089418790227,0.6145334812397653,0.5577274691930523,0.5871199919585276,0.6721473335608672,0.6863546012936851,0.719245456989001,0.5849133897706347,0.5695839239806638,0.6655082738174833,0.652709957840266,0.5656726564416787,0.687808022054796,0.7958656729912554,0.6556578172115305,0.6380755639599207,0.7639436135806303,0.8340166468606459,0.6833915786819033,0.6773074669329355,0.6176249969010342,0.5732138850333253,0.5277372810493624,0.5246059181511173,0.5762989421191551,0.5256884344038424,0.5366443011013539,0.5516065874532879,0.6092388986150372,0.5448655671999314,0.6592585834797765,0.8527578949156963,0.7477507545732219,0.7315784991776416,0.8350724355641896,1.0628617237992029,0.9372690125666344,0.7981333641776578,1.1335458232597624,1.2890198076236405,0.9795169480178755,0.8437646462460388,0.6858776398264321,0.6663907390490097,0.8389528491436038,0.6973157189319488,0.7946081022585375,0.6764055389298981,0.6154478484648436,0.5118171416197157,0.46914918512255877,0.45296804920172895,0.5016967107567709,0.46236691876033054,0.5268024277785714,1.1150674727740424,0.6254532848294891,0.5566837049398665,0.6073816522760616,0.9432871950695779,0.4255791257359912,0.6226925113794534,0.5735280109674575,1.8142516439227705,1.7395753611079108,1.8110591325724563],[0.35091604027056755,0.4072573615464499,0.46768154631216824,0.508346995700495,0.47407164524419415,0.34618294847245507,0.23074095528696165,0.2807899921543483,0.3441542796677194,0.2471795083147797,0.265046660643881,0.369627332963054,0.26625913645631555,0.26944269135926985,0.3422882973647435,0.2845134225118746,0.33534100992143906,0.3215235444875955,0.44694047835848566,0.3741894219136372,0.43110053503685447,0.4439871768687009,0.6794010866801103,0.7277136394866215,0.9128469416778646,0.6249019770397877,0.4076199557926935,0.32679534390317105,0.3035034004357223,0.29664893544890786,0.3377700961140698,0.32715468997374597,0.3763712472155746,0.3646244150330204,0.31186213665061097,0.3076663943824054,0.3376624990118103,0.37895762909623454,0.3220856187706928,0.3714109604819864,0.5771922789660912,0.4832834030390483,0.47581128673400486,0.738044647776699,0.8967962298143073,1.630327686677137,1.7816696195846784,0.9879981487990166,1.1943761844069307,1.7132155389710455,1.2498232077869647,1.1760546698066288,0.9536450972508969,0.7669618418390464,1.1905939956172733,0.5702259617896948,0.6614626490444561,0.6933512825566106,0.729629488460791,0.9301672124789564,0.6404603258810492,0.600760871326607,0.4602473013883071,0.589757635834738,0.4721620421988023,0.4717070496661506,0.6437300342506537,0.4137759373628991,0.5555864284102516,0.5820674471417627,0.7183117211118842,0.8980842858634488,0.6847221941113657,0.7560573367480201,0.49445162153536115,0.8658978144552583,0.4152901215583326,0.363297108790249,0.3632162095169039,0.472336354445769,0.4023084185156617,0.5713943121462669,0.6897685164600378,0.448885777466457,0.6931296163559444,0.387329751681994,0.36546533826429434,0.4566864902337278,0.3283288178023262,0.4255973663493258,0.3725999566448969,0.7344115392550048,0.5068941043526957,0.3524347577057865,0.3373709331364219,0.4632625167865584,0.47505154452514,0.426477697509942,0.38664967783425785,0.6575161979529924,0.3719890005702542,0.5808134593495644,0.34515650928834873,0.387450852235254,0.4281469439825036,0.4665155442950296,0.5685941164466695,0.4280813033620079,0.41435328405815436,0.6669181990618464,0.3866055287378872,0.3006428879283006,0.24672226663652286,0.279634521992647,0.2868569916955687,0.33133240444815926,0.3546356534941244,0.3707547051132592,0.494226309884226,0.3863728185692867,0.4240813386917895,0.34262099295789855,0.37974215552581486,0.26918229623788675,0.2679621537094443,0.29846065209582934,0.47616457718323063,0.34644577814839916,0.36402191703631376,0.395159502308981,0.41645280344705,0.43716600320888666,0.42955269555497266,0.43655516484391943,0.4422932509603728,0.5323921080003252,0.5618343770930828,0.4316585259358796,0.36789035880150045,0.3551650886045372,0.5139127819196893,0.6487544538004607,0.4150497308088024,0.3188041280603495,0.3202035400631273,0.31132033676096277,0.27586699016834304,0.3004548147574784,0.2623606873906759,0.3364248759085088,0.38077582102410296,0.4709479972992299,0.7927866775767806,1.4903029906585628,1.3351474372395393,0.4619359674058693,0.37045370634709285,0.3425631174524696,0.3009509805704883,0.3254777562361485,0.3634853451810601,0.2926426748882058,0.33324225522123874,0.34909701451285696,0.43435197827986805,0.5783546003178418,0.5287378508643503,0.7343174390543308,0.7438102552055224,0.6832960490332763,0.47846931034064255,0.4260584896160397,0.42688922146513647,0.3874853683725026,0.3217802262874777,0.33651848351136576,0.3544617375228041,0.4779517350714663,0.35033447135827367,0.3475950335992143,0.5933887540386753,0.3470558315300012,0.40089949035319566,0.4703465685214852,0.4625704054868786,0.4579112338470598,0.49524786194227477,0.654579144832059,1.2971022344685577,0.8906934992823584,1.0848009245441619,0.9940678949863133,0.7922953141053558,0.7831371315720944,0.5685587871560048,0.617957287882123,0.5806984456301795,0.48428189058930604,0.4453957566869789,0.5713670541420942,0.42926959949787524,0.41288271022539047,0.4146450396643264,0.45217334609348514,0.4669555801375073,0.5013105202940814,0.5571148968368688,0.5586362290143827,0.5791696788622299,0.5873768374786875,0.6428337409653443,0.6615483794744826,0.6758005651891457,0.7224152928635985,0.7868196533154503,0.8236293256501732,0.9643235371249612,0.7646628393755676,0.638958730753226,0.6850895931607692,0.7777935658704215,1.6021399502116385,1.109919620450672,1.396868595109274,0.6495003221843907,0.5397177920550763,0.6081956068104591,0.6132111093698465,0.6033776946429059,0.5023612145530614,0.5953149378156755,0.6955766167831228,0.8061139579807862,0.5609015519615845,0.8426267850356006,0.9030057208787555,0.7379077254610892,1.1530081316080532,0.5177281246092341,0.5308485209995538,0.5253382120066363,0.588066509595736,0.7021274995806304,0.7003241755024299,0.738249223072606,0.6125075555699068,0.589133989417579,0.7384401616393729,0.6691367035070649,0.5982245530289128,0.7440435386688682,0.8571288782611243,0.6955521804242809,0.683945740810762,0.8167324680190059,0.8559737532144307,0.7015059105074883,0.7067536733213818,0.642068286528753,0.6068403348394489,0.5535918315422105,0.5427518078406178,0.5944125325044457,0.539860055106697,0.5675315889511063,0.5447956934798448,0.605335246610215,0.5401358880342609,0.6238299711859875,0.8199942503394575,0.7270942239290249,0.7040857810083818,0.7722084461859258,1.0221628969737147,0.8874741288830217,0.7735946817211512,1.002229838641601,1.2286613184292001,0.9499492087931826,0.8290805013232468,0.6897451720296334,0.6372348364199761,0.8401999557992825,0.73835569704363,0.8140579734596768,0.6909480555963141,0.6243074757187365,0.48662907886162965,0.4149585106791325,0.469588656113642,0.4989593609080881,0.45653400746671385,0.569689053293398,1.2470972039792876,0.5919326191895217,0.5528723884914338,0.6261868137295006,0.903206252622328,0.4227385062820667,0.6198504499004172,0.6250565913561398,2.0257068723872114,2.0580339961051624,1.8689622088854951],[0.3301838264637259,0.3923182509173432,0.4459945370373315,0.6272763267902903,0.3999888134413184,0.3216281461710971,0.2419022400108404,0.2548637563085369,0.3319954190778088,0.23106386857507624,0.2619207300432141,0.34971521680210743,0.23753605612237766,0.25344157761225533,0.33197387349221297,0.2700544112719836,0.3241334100350533,0.29814782510441035,0.3993245547592404,0.33661285383774703,0.399958842336198,0.4273730722832874,0.6195479891399928,0.6604047426448225,0.8252821448765404,0.561234138427261,0.3622453859707975,0.28271494446075207,0.29617247516459927,0.28208256658427766,0.3266767791116113,0.3113778198789966,0.36754140065505986,0.36059764917353265,0.30151699774612056,0.30147071821205224,0.32499740406347993,0.35453928304129995,0.3090981186387133,0.36416771442459367,0.6033636984307966,0.44369998789117293,0.42782905089403034,0.6510184902249225,0.8768135186054228,1.6387069796107336,1.7104965329092001,0.9633002448026239,1.1775384062119827,1.6236446489163845,1.1748727436056838,1.0946662815434192,0.8546149585573876,0.7068197320456188,1.2016538327506106,0.5344801538962257,0.6011062018879362,0.6560588382350353,0.7188682112031248,0.8742687684187226,0.6205330390323528,0.5716296674827844,0.42593731651029476,0.54780692800575,0.42865400094061124,0.4483426629518778,0.6136495129461857,0.3987826452722701,0.5436565718399344,0.5515860668352481,0.7289208001467812,0.9148681882165279,0.6698316483260718,0.7417755037313836,0.47460732499077013,0.8341688533350444,0.39432009099880255,0.35949616655575656,0.3503755123689125,0.44363965697121666,0.4029142201854552,0.5568446475790106,0.7050218973923374,0.38801354449216474,0.6575635520319771,0.36397435843041426,0.35960885833206724,0.45720906666393957,0.3048906162871083,0.4251602763628242,0.3684639730428878,0.7184679949001553,0.49226829829808627,0.34863096265224763,0.3312933523027587,0.45300142136912397,0.4711306472391246,0.421391586930957,0.3853236409161132,0.6366329848608052,0.35660866409778835,0.5450051864232132,0.31673414124141647,0.3646817718009886,0.3979423914591654,0.42974244813697826,0.520980685464416,0.38683269604545234,0.38159523564193504,0.6577546419918668,0.33214527014295175,0.25557148607274854,0.23340647370334403,0.24375584626512675,0.2451627592961115,0.2719055804730244,0.30088961149329335,0.32661959035486815,0.42776392558871956,0.34147355790789935,0.36965667395518875,0.29201380731855653,0.3159092791448442,0.22344110996282177,0.2351367805128534,0.24249019671517108,0.41308614371426566,0.3062814289231969,0.3110554803022531,0.3468473367477137,0.36140041671872364,0.37194300428851357,0.36378010014988865,0.3976274478362836,0.3845837567391257,0.4579368210810342,0.5289306684320839,0.3670995583040444,0.33151337549614157,0.3230744846477724,0.49120526226138683,0.5660194086186643,0.38906687040522553,0.28993290174888753,0.26994805859972965,0.28428328089266325,0.23789400555712523,0.2756142765099026,0.2313137300223072,0.2997280317211232,0.36108896123617135,0.4383559969126489,0.7126613177908888,1.4379465686755488,1.351727002819846,0.4285505258175764,0.35322785515583743,0.31669207870686544,0.2607743723269389,0.2892430617859708,0.33967543383751553,0.2604716127037864,0.29532435671092966,0.30440439765232913,0.3970873146418592,0.5517796382276262,0.4780773640219234,0.67792254727391,0.6842340173050753,0.6471769567256884,0.4379635776572421,0.37311527999656613,0.367951181615896,0.340698730105117,0.2762071117738438,0.3086632860127626,0.32717379419630377,0.46860414846764203,0.32031814686532356,0.32510302807347113,0.5943458518485695,0.3049288140494939,0.35981832863979635,0.4105025377758668,0.4188630157821781,0.43347007568689955,0.487737493628479,0.6156585958359024,1.2392633431067566,0.8290281238989479,1.031055250189345,0.9674007541792579,0.7410202124091215,0.7486524393613987,0.5066300845892275,0.5250559453342591,0.5221688984871621,0.43261051065299605,0.4084206455419136,0.5300586580295804,0.39211156845907136,0.37772718068078637,0.37399987427680337,0.419297262238618,0.45151238213640355,0.4951144407347448,0.540227243965508,0.5282126607375486,0.5440295024060097,0.5545482391192162,0.6148649971922903,0.6119882203066279,0.6261551440826031,0.704620225841443,0.7228970516567147,0.7567960436668146,0.8702657855614642,0.6950464148808191,0.5815299144109424,0.619168108524433,0.6761620593382441,1.6790178611151927,1.0038927235204056,1.4049404861847883,0.6326533894738038,0.5207886063713397,0.5844373091984645,0.6141729872066474,0.5394320997923304,0.4612466154886115,0.5726673044016535,0.6565040447874961,0.7300953925933885,0.5076229302733348,0.8230014902512909,0.7483475850122644,0.6766526319863385,1.1181282725617026,0.4624705941342275,0.5169623239784856,0.5339020275679784,0.5887812362520762,0.7039326405396613,0.7129320343271673,0.7641636003940249,0.6002749108737477,0.5687013710249114,0.7439416272864253,0.665369086658638,0.5806776520971476,0.7165851714155498,0.8129544374841557,0.6362243011723563,0.6320195373925678,0.7664797777016287,0.7846374306506337,0.6635538615623042,0.6585949767261446,0.5977652278696558,0.5633285187873536,0.5223896312614933,0.5156174701302825,0.5374453871304208,0.4909663453469436,0.5339215115345903,0.49114479517377746,0.5556153542226914,0.49552028466221437,0.5473078296435446,0.7497770082948372,0.6951805606924818,0.6132605970883633,0.690325976254429,0.9175373610266485,0.8128618812008028,0.702050455055918,0.9428312531208592,1.211466517557628,0.877358442026935,0.7811792385525732,0.6449532905564265,0.5921326201773208,0.8542113718602009,0.7046409089494357,0.7530529604633944,0.6708879033580039,0.5628997753554382,0.46389605232975645,0.3671095259008266,0.4310108827899323,0.42441692010383036,0.4182827901990294,0.5685902610064634,1.2770361653507205,0.5653225938529902,0.558142386023954,0.7067240869795506,0.9571472459900809,0.4610496415258579,0.6853997080377326,0.8117814250425642,2.5232043119414618,2.7439249060163076,2.8207517057420963],[0.3509043435670344,0.35648736210477994,0.3858858260802116,0.5629029764707907,0.3810015321696514,0.3168984219378132,0.18922541355111067,0.2621517722171618,0.32153651152384566,0.27394112915795094,0.2982645410812476,0.3834660602582724,0.2942772676043041,0.3022501763243344,0.3593505101301338,0.31865750708648066,0.3614737408984835,0.34574651831153,0.39576562640760005,0.36546734842984735,0.42180421977453664,0.4343505381850058,0.6303298075976312,0.6563464750184983,0.7975045541216405,0.546963360276537,0.36838362486025367,0.3122677433428844,0.33098174317727025,0.31944465936190336,0.3562675163925368,0.34746657345515847,0.39135061259775483,0.3917927821248363,0.3390509932467417,0.33326476029004964,0.3501277010612961,0.36021943146503493,0.3510858405196462,0.397909218002832,0.6835218652088855,0.4364839738328687,0.41628644705662654,0.590917066335535,0.8781863681177918,1.6786609768795073,1.6783989549264768,0.9589793151191156,1.2048088208362746,1.562909449410599,1.1125046800443128,0.9857653821285969,0.8240731538864207,0.6587789170120498,1.2337688061486083,0.5342226287639477,0.5519514098917085,0.628019733437607,0.7389482179742511,0.7772036958702002,0.591721309750693,0.5755241426597706,0.45058647870090596,0.5704138996889871,0.43761791496555663,0.4557134592118075,0.6111367200978821,0.4427014038956039,0.5598639123907321,0.5684448251452368,0.7842367381553177,0.9846266416292524,0.708806833681715,0.7403330513639871,0.5210702605937646,0.8221979002262653,0.42379628439198136,0.4085381346527826,0.3912002810145846,0.44528038928241676,0.44150224730997845,0.554328606595874,0.76068744727101,0.38089350696840474,0.611185401707873,0.3836687134604844,0.38966298342927674,0.4882143581728102,0.3494065040471021,0.47215030518898105,0.39520194727687796,0.6764452226291717,0.4848158395248114,0.3609864665848416,0.3551084211768569,0.4411907768498124,0.45589788542821263,0.4364497628974677,0.4048474996856691,0.6583565233794296,0.3881910176818339,0.5904726691706914,0.3517922001972279,0.4133253395983676,0.4658504476547081,0.4730708704690658,0.6467058988267379,0.39131489086563126,0.4013943141070242,0.6860000365864788,0.3543884104669242,0.2945383539115701,0.23323661083531463,0.2905615382950254,0.27820909294363166,0.3055424331149662,0.33269237175222355,0.3395925410032632,0.41701523975173205,0.3793106021292445,0.3926557128293271,0.33351028012049005,0.3326367354184676,0.27580131572818023,0.28053027332006414,0.30348403173038496,0.43345309934624526,0.33206335609763954,0.34161917948065823,0.38497347197799225,0.38681207623798636,0.42448065319529676,0.39239393058300964,0.4730906542853903,0.42212440711627314,0.47245789464086746,0.5994514404727873,0.42113703149468823,0.3882221183893177,0.3546652689109326,0.4864772527722315,0.5236338431816318,0.3998057602719511,0.3114122661926546,0.30840251251819556,0.3198706918101307,0.28002266868923537,0.2858566027094532,0.26462166917452246,0.3367606051412063,0.39660742562115764,0.43984630034330746,0.801334607887277,1.4767474743254716,1.3054593492975834,0.46057349415719545,0.3624213306763805,0.35826630500423545,0.3017264235696708,0.33252131428568366,0.3594374316477128,0.2723228007615374,0.30071506296809347,0.3193516589886874,0.41982401490677834,0.5567491322375568,0.4990149367824343,0.6844164703169777,0.7302342015776392,0.7000267600534513,0.4854343877590433,0.4076825095142407,0.4098191617886104,0.3737292906824193,0.30297745918444713,0.342728602525995,0.3423212747634614,0.5479430444402144,0.3338823006312366,0.38469984565306004,0.595976771537404,0.3517367494126109,0.3801651981147589,0.42803553746769085,0.43530477705443593,0.43395769003778845,0.4565904099961581,0.5821041149631808,1.1970203625742537,0.7730005030918661,0.9713553985567364,0.8800966271084871,0.7063233240948656,0.7045442048650732,0.4737023457372051,0.5022448191018819,0.5228192561055236,0.4250134548414596,0.41048667965592667,0.5050001775702981,0.3859533811196525,0.3869031259361201,0.3801557342647249,0.40925204335408016,0.44138091379081307,0.4729281751704548,0.5166614710213132,0.502937232081092,0.5332274757174539,0.5274238637258054,0.5870675931376557,0.5891631618266497,0.6065277059621078,0.6980781421069845,0.6952312454191999,0.7319107001665455,0.8806163221987509,0.6957078897990522,0.5792541447175154,0.622428360856489,0.6878250646872553,1.7906468695203634,1.0207448740708043,1.4242150678071732,0.6162187496426209,0.5268119210414801,0.5977517129008162,0.6296691059888984,0.5542393394060434,0.4623087389606543,0.5752674358928102,0.6405845021277139,0.7720352113534149,0.516725294769244,0.78401238028922,0.7448223150056784,0.6633387537395886,1.0919259356996853,0.4796615445805391,0.48084137075180927,0.5126665839312337,0.5821737245640487,0.7047247999997759,0.7143697257038523,0.7483416878843631,0.6134821247756628,0.5595555122754012,0.7544709366258092,0.6496657577663247,0.5767592414144237,0.7254188453654079,0.8250236681733202,0.6440167713285845,0.6396374598216847,0.7759606616727129,0.7816570092885662,0.6547317386074449,0.6584408799367854,0.5906803862946945,0.5565378624531819,0.5158053627373852,0.5038162613972021,0.5413293415313029,0.4859903425840103,0.5285710431680346,0.49049321070662505,0.5513209082660947,0.4914524937474847,0.5504914523120018,0.727842633567483,0.6813214360408625,0.606641754801359,0.6624526022910078,0.8966314316801366,0.7778458289230136,0.7034832790862386,0.8602535226958379,1.1648313124541159,0.8686491224987081,0.7810588248315101,0.6492328928859743,0.5808558098756739,0.8667899289405518,0.7451182835974912,0.7787242504199567,0.6892763048502424,0.5886269497597044,0.4709482119479343,0.38008321248012206,0.4807386633997497,0.44454856406137383,0.41000088023985193,0.5687566663146182,1.3204728020235168,0.5142708416332599,0.5294976264438672,0.6595630643751783,0.8833456030441265,0.4376350920241943,0.6803825505244372,0.7556928405580936,2.4415589847163064,2.6767436221700054,2.561842386878845],[0.40278376291490436,0.38889528501876997,0.4619277469536698,0.6129997293743487,0.4049019447537988,0.3447023908276768,0.1905707641030133,0.2859005735414308,0.30889584297119443,0.28035484927098864,0.33116198420837906,0.399906530650123,0.30782748142424105,0.2952299054986991,0.3855992997422211,0.34602586140951264,0.36586022476170865,0.36416387476610934,0.4164704038708912,0.38038710821830546,0.45645599332821946,0.4530696068217683,0.5747390717259604,0.6452429356209461,0.6913544004349006,0.5103344568643662,0.3675924159745042,0.31775616535405765,0.3438386749474931,0.3406875236527264,0.3874643461643051,0.37447730353317443,0.4250076361373084,0.41860891574415293,0.36552896731378937,0.3652232615076483,0.3478813900902173,0.3748269202417243,0.36963646162999036,0.42875207500574525,0.7344543857391292,0.43254703960367974,0.43037526617761634,0.5309366627592759,0.8195320836881158,1.6147742690886189,1.5252626448898292,0.9537790198889456,1.2237492194352693,1.4328448176650617,1.0245794926339282,0.8851573790191545,0.7160015131742852,0.572117426802024,1.2773589975499011,0.5941296948990461,0.57280947842604,0.6523011773222503,0.7829039955864311,0.7698477487668113,0.6062645419730939,0.6014617371156193,0.471037686696235,0.6277782308518467,0.46263799964812496,0.4754199469379797,0.6499591648601301,0.4683374529497547,0.5692607490988117,0.5676640084604309,0.8052639554425164,1.0356890529887488,0.7387502622978048,0.7429298742546856,0.5432800691818748,0.86895658579252,0.42300253720425746,0.4286371416446572,0.41047793538659677,0.45763537310271835,0.4669905543261998,0.5844616693312786,0.8150540405814247,0.3936074547372396,0.5583426875879905,0.3830222600265416,0.4023219247600604,0.4873229778367814,0.3766041677877834,0.5147446307570415,0.42604385751534246,0.6776240424260281,0.5059847102294438,0.39989264429377247,0.39298353141047804,0.47441149773482344,0.4686422143573078,0.46141789656265864,0.4310427248202644,0.6835609442841369,0.41143076750887714,0.5880273366615213,0.34955641690388806,0.42548251898282163,0.45664546817653584,0.46208409740496775,0.6334278322952399,0.3490035740116837,0.38152441579377233,0.694991082641496,0.3341730933421438,0.26897332976402294,0.22614808307270523,0.3040622090672642,0.2828489611196404,0.280392193824798,0.32086815244176586,0.31444357973571463,0.401561959906209,0.3983496612533278,0.3874491907434912,0.3219511726105417,0.2991759454889522,0.27292565265228397,0.26023743675459526,0.28445744482328067,0.3860734442108761,0.3332335569712452,0.3086020817052156,0.3620068234573294,0.3438362584241182,0.3637332991534972,0.35014946406310804,0.4640213955919143,0.38995377188870467,0.42517277381003665,0.5937719938328079,0.3894695366620549,0.38815034784410457,0.35275606039258905,0.47191881350717063,0.4824800206055167,0.4017554286002241,0.31105796037433747,0.2972926960866941,0.32543560238987557,0.273064315122628,0.32641677331002966,0.27768289779816363,0.3311573277650983,0.3962574966446059,0.47959528809524155,0.8915659347891808,1.5959932906870105,1.361833342669084,0.4940555791671619,0.37228262160500253,0.38629083894579525,0.3235523646989055,0.3477646809445494,0.35512914736176837,0.29750964192729146,0.308517404829959,0.31558154196740124,0.40929600604767846,0.5243610883531782,0.46053185455289114,0.6212052264215218,0.6758171276144053,0.6621708154420198,0.4585447820853758,0.38510747673576556,0.3698897411432587,0.35567976540103946,0.29971095342019594,0.34302978796604144,0.3433881679045301,0.6009567537431125,0.34642890234115503,0.40608827049571145,0.6057407780763159,0.3389370545461578,0.360191154937531,0.37353533373714687,0.4106945863321094,0.4271386119468275,0.46231347775311876,0.584580437851147,1.1285297176716196,0.6913416238437815,0.9026025884709106,0.8253601705141885,0.6578648399146168,0.7070224675998318,0.4249782560432566,0.4322917473236502,0.46226213944157823,0.36651840952165127,0.3778005087575786,0.4550523334192044,0.38306661200608394,0.40817154648970083,0.3795892896314043,0.42514514267936615,0.4805538792947593,0.5056132928059562,0.5340285930995043,0.5235155231071261,0.5804956716209784,0.5678291377484047,0.6228268048209963,0.633761357301451,0.6657259411455413,0.7560013366238962,0.7213834408467783,0.7330860193408358,0.8788756014485405,0.7008092896114356,0.6007542904844011,0.6396723908906752,0.6844982585448319,1.913999050164092,1.0176794791815595,1.5064395495569525,0.6597658478925504,0.5882967984970897,0.650216725732116,0.7142589702772328,0.5610711397936997,0.48210396088961566,0.6032944832277831,0.6362876103323017,0.7327617224325553,0.5172849342969206,0.8182837282858774,0.6305731862444562,0.6361192134146912,1.02202431768356,0.4589051562937187,0.4649506651572768,0.5725341758682345,0.6394096093498216,0.772254043471131,0.8009386913665932,0.8385084936724284,0.6793880760432967,0.6370101838876857,0.853953750732222,0.7182392266998492,0.644399708283258,0.7944831640680498,0.8730906306380228,0.6777808407952213,0.70424168658434,0.8468606819362431,0.8042246882566371,0.7120539117914251,0.7234405762237711,0.6643901948170926,0.6400874650860066,0.5938426515029754,0.5842079279724387,0.6188853873005911,0.547852872509277,0.582299826607948,0.5407727416057946,0.5917880454634483,0.517269056929878,0.5540330699270563,0.7132155595149597,0.6962226715095808,0.5967237128843782,0.6693179182734563,0.8844932476378551,0.7713343022539415,0.719229334693566,0.8449174358563832,1.1654783206850434,0.8628292321957585,0.7949843716825031,0.6624764433954493,0.613527132672759,0.9023880458293866,0.7617798466177266,0.7628899422998878,0.6830012222226279,0.571574841037665,0.48834284957540436,0.3676302507448878,0.4565907568909881,0.42621723540077144,0.4186161076728367,0.6587324379645131,1.4803197873949452,0.4893091401759022,0.6114790380110684,0.8751276699860039,0.9032742968112847,0.5784272426867125,0.8048723779754998,1.1598135358279515,3.205844746906347,3.8046466151382208,4.064712087482326],[0.40148309788314435,0.369185270506905,0.4721189574214045,0.5515886252463402,0.38123690423243856,0.37284823751239615,0.2316449546449844,0.3257557525959443,0.309495561409447,0.3127922239960479,0.35549332066914713,0.4354410948269721,0.3251413901790695,0.32206677156836083,0.41902141497316286,0.37943662044160464,0.38461857653825715,0.3860156488931692,0.42662631608965174,0.39520847749011095,0.4431850423424299,0.4303539872746911,0.6428062748218889,0.6621061979887889,0.756523695622996,0.5486144379196242,0.3812900271999998,0.34218148606747567,0.36774406077736,0.37534070636039013,0.4049684048654027,0.41755153162483793,0.4261696615116813,0.4325316968728153,0.3977391894912358,0.3916137706576674,0.3874971051897635,0.38091899231683324,0.36579640256314466,0.4284282421426704,0.7574927347610847,0.45666090740592347,0.45493779413836927,0.5479081570470115,0.8402177414695646,1.6593059493610294,1.525047556584424,0.9963061274135272,1.2724383971485715,1.4342098338652767,1.0296473795940322,0.850499044172188,0.7685327498962808,0.5978651066027142,1.306320504994183,0.6351339097886619,0.5733061018393634,0.6391746856423322,0.8047878394496184,0.7103291040668778,0.5717884569859686,0.6334030506949379,0.5085223583281082,0.6368333520691386,0.4683839239996787,0.4764908707592107,0.6558368211684439,0.48169525871345,0.5626200836730535,0.5785668534681315,0.8241420385999159,1.0671771761401228,0.7583292218876283,0.7192476198749334,0.5622420326159615,0.8389972600790349,0.4540850347136575,0.4640560715340265,0.44058301033320785,0.4605532588885004,0.49618635924555005,0.5759188079267151,0.809116321664377,0.41332033659150197,0.5390623548784328,0.4221565141093016,0.4223633254034303,0.51244723131939,0.3899511790740818,0.5300368772519298,0.44467710999278126,0.6393051063744248,0.4971567419845011,0.4179433410532127,0.41140042763067003,0.4898561405584001,0.4797658217887141,0.48043774670353223,0.4587006831147604,0.6896627784546264,0.4460104935908536,0.6321549452475038,0.40338286379006294,0.4761819406953133,0.5042889490729926,0.5060016227561792,0.7476626191624949,0.39677378727600826,0.43719616748407797,0.7118509155356221,0.40507803122124547,0.3297151784363197,0.2602698871284407,0.2939947042380275,0.292732841283561,0.287774198957012,0.35037602619087244,0.32957904588675263,0.4045192757382178,0.4242207462553228,0.40021305454772715,0.35044194883801183,0.31515717372435126,0.2931182042608513,0.2762255453938634,0.3117567994953242,0.42992895343689636,0.37736822501361206,0.36993932246024513,0.3919186496916391,0.37603397184584725,0.4410349142581823,0.3755011851400196,0.4667036387850502,0.4077950207505059,0.40896283630011954,0.6048998802554314,0.3974070131908901,0.40416774622461515,0.3563107779738775,0.45939832292196353,0.4499593419065877,0.3911941081413687,0.31393028921500493,0.32342335610893,0.3344290054402703,0.2878446196669219,0.3323195909141418,0.29919375365398465,0.3513152687842615,0.4310883915055728,0.46251826673382607,0.9132515867106223,1.5455476722401809,1.2198071924106213,0.489413802841592,0.39767462490658667,0.40195217741423805,0.36108451398167035,0.38887897572993846,0.3276798222083644,0.28646586672516006,0.2821181855078969,0.31314705105413604,0.42497257707633246,0.5254371007367877,0.44207044659138495,0.5817253153625961,0.6663702054676677,0.6539599246929625,0.4502208390644323,0.36596306961520586,0.36772269586933043,0.35571987372165564,0.30729678543085004,0.3722598041093076,0.37544665041613867,0.6507596114458766,0.34779744946165575,0.4579244775306104,0.5749121795358444,0.3717031650454671,0.38269106079593995,0.4015778492300296,0.4255787324731967,0.4352390099538551,0.4242265850763473,0.6100612145355392,1.0470312767834609,0.6556591206973037,0.8645672499102431,0.7219639984609634,0.6140038919573935,0.6484578207045709,0.4267074542395855,0.42485774257340225,0.46093857005523886,0.39722756038962853,0.4144996213343844,0.47940277062695663,0.41559597958763966,0.4386144651632006,0.4069420823324809,0.45698853049820276,0.5027948154771105,0.5132968604915795,0.5478780496194129,0.5475272763307696,0.591190820275412,0.5846004615908582,0.6435722371706623,0.6527351532511108,0.6796415000963423,0.7971489299667078,0.737024573619989,0.7409224628867885,0.8780720349892227,0.7076310350011626,0.6192122112785592,0.6664707776833347,0.7062341077340969,2.005347738994324,1.0318276537624949,1.4980820540991464,0.6645325347694382,0.6131547016649777,0.6789829881662509,0.7356471604466851,0.6028436876726518,0.5104247746130879,0.6234504461009048,0.6347310070365988,0.7551796201674791,0.538468145663006,0.8233338049631341,0.6289429572971135,0.6634390401404365,1.0238113339214625,0.5222971176717348,0.5048056192521785,0.5972128000326992,0.6582768237197205,0.7784925920726856,0.8345365484819272,0.823133725716102,0.6989433994016376,0.6502565420359464,0.8573843338954914,0.7293008861690004,0.65256223496751,0.7849432178362616,0.8612199897154518,0.6756638532762147,0.7105634811726486,0.849538928160818,0.8074609662078123,0.7238152643126429,0.7341354412503605,0.6714057095424761,0.6540768509230498,0.6123428007202363,0.5955087472955973,0.6428668741676655,0.5727333213887508,0.5882089937786151,0.5643170775228511,0.6110733356974626,0.5230291263630421,0.5560968287050578,0.6994753783167215,0.6812362390716048,0.596530793473609,0.6473850950016778,0.8733889346288127,0.7475459360369867,0.7181951766295745,0.8126294712038856,1.118963781529136,0.8776798201602124,0.7990404410340117,0.677682308322678,0.6455338169363312,0.9316400887085177,0.798428068100363,0.7860679067299003,0.7086388055440733,0.6050232102243831,0.49810571619974503,0.3983545711416786,0.4989795249643571,0.45363873389690784,0.4511129591541891,0.7036011060789369,1.505474150872652,0.49131064363744437,0.6274146485792321,0.874890195068872,0.8940252208361653,0.6073186242204167,0.8320790716956853,1.1345319482359195,3.140280138476712,3.684697497228109,3.8012398712280024],[0.4180880081274992,0.35962179333066435,0.5138742809939321,0.6134618091559385,0.4784837407063463,0.46316388755059923,0.3288760844825119,0.34278416747493756,0.28469891078369675,0.28667246975112104,0.3354385665735639,0.4365434972131859,0.3130822877436895,0.3007834178762181,0.44045606902431245,0.3947021738297142,0.3668430066823648,0.38603086589124835,0.43514421297370554,0.39202649006573154,0.4478379170191057,0.43789575751506626,0.5595823941052563,0.6194015031153285,0.6650950761828345,0.5060686713004892,0.37091995428006774,0.3433168188847287,0.3803345645965564,0.39294099064312443,0.42981172698724696,0.44373399427083116,0.48548931196669337,0.4615116979119286,0.4203424863139699,0.3974733468061672,0.4174416322755972,0.40611097338400465,0.3928105732063771,0.4676416869963411,0.7561814361576749,0.44630690952611773,0.4547546150014178,0.5248939220317917,0.787288942439625,1.597474111226086,1.4490772441088247,0.9250422971029114,1.2740439339321625,1.3944073828994619,1.0020797902468135,0.8750696103786322,0.7020502375663925,0.5633482036150018,1.3660649552645168,0.6798762540679759,0.5825551280657605,0.6643990740224535,0.8570522610834634,0.7247317784272855,0.6039960418984838,0.672544825353817,0.5452482005688165,0.6827893423727864,0.48073847912674067,0.4964721368604399,0.6708275866581744,0.5005413343912675,0.5920859377087702,0.5839250871205748,0.8406843080550233,1.1516701325717187,0.7895239559804462,0.7495814218776106,0.5807484788293298,0.9105084956951017,0.4644786438468509,0.48049334368104346,0.4442622201777732,0.48230345833930766,0.5402620030544553,0.6233855946314085,0.8957520173355934,0.5196265864484904,0.5344802872606998,0.45715028281265024,0.45351549922060136,0.5443601002159792,0.413025186905916,0.5450832846588318,0.470809934794888,0.6622082948314494,0.5237727766234993,0.45734956148497263,0.4430788514571127,0.5238942741195775,0.4960866723987297,0.5051862585343198,0.49133768278097995,0.738883929172696,0.49771302554842334,0.6699243931424929,0.4508990312907717,0.5242856713957562,0.5393198226343459,0.5236699090935387,0.7867868063939765,0.4444236429593913,0.4966806891404371,0.7667442109422493,0.4518826317377127,0.37062012694549296,0.3157476770627383,0.36560376383126136,0.341733663786443,0.3179231441359299,0.37773115096443893,0.3767525787173237,0.4307085310815829,0.41989366603111283,0.398358408367585,0.3346500855943987,0.3719880296987511,0.3528594688583884,0.33718979563701157,0.3721789760760794,0.4923848549980926,0.44838219069488644,0.42789493546300744,0.44730507684459103,0.45654456601497506,0.4859077521534854,0.4411820747062436,0.5077553999621788,0.4889395571115163,0.48703958242263107,0.7003897097688895,0.4958203537261584,0.49034569510809756,0.4272972490411253,0.5334669900871482,0.5147158700207335,0.43702995738489014,0.3707716245328561,0.3297391605154068,0.34702926554933977,0.3192293661256602,0.37941129133506046,0.35550544811968265,0.3890372050530514,0.45318449605939576,0.5002305850798953,1.0666172743938995,1.6565127974463396,1.2234803715247908,0.5660641131101576,0.44221498299140133,0.4627926211148164,0.40651684522713266,0.44311696408244067,0.40504277998549887,0.35642183118867204,0.3769384601068943,0.37322293202495294,0.4777341778743363,0.5803742435304474,0.5265793759215394,0.6554144565762019,0.7363773564416963,0.7298655124219173,0.5427067972528172,0.4554626763138058,0.4233775329854288,0.4187069956171774,0.3768170102554661,0.42801727186975413,0.4214710901545785,0.7223754860311777,0.4222709988505933,0.5267746974598917,0.6098311330937849,0.42257590589197136,0.43887883012981316,0.4568143288635642,0.4842091693742179,0.4898697236830883,0.4785472662496805,0.6897219134172698,1.056685258640707,0.6828277732809972,0.9066405422625259,0.7794256538521498,0.6602950784789499,0.7050086866499713,0.4960393825489447,0.5129162596885073,0.5470672755813238,0.4593629020921101,0.48547347297531296,0.5087690784863,0.49178951928593084,0.5198641576193217,0.47405442847043305,0.5095182804906854,0.5361954390115197,0.53079134532866,0.5842803115619667,0.555031637036982,0.5873876747677448,0.5757378351868951,0.6399286752995664,0.6425506842524247,0.6528971522177371,0.792291071705084,0.7417120513364486,0.7367575641992145,0.8865972763313373,0.7300571949006737,0.6331443319873843,0.674505782092099,0.7185961794713113,2.0575746152580825,1.0495876513196496,1.5640829775931426,0.681570857318909,0.6474791642686499,0.7175060626355013,0.8109157231373965,0.6356540670438781,0.5762466153973884,0.7019993669152329,0.6980880061899377,0.8174215159976003,0.6181344751646934,0.8923756774807303,0.6446774919342553,0.6883079204078324,0.9866496476939698,0.5796352049042293,0.5621052931142912,0.6729309817979306,0.7332384205185631,0.8591471777547331,0.893758841604741,0.8926936848882173,0.7742244923102081,0.7105073399336773,0.9408859768032869,0.793092307468142,0.6837944587143737,0.8322248126267154,0.9022717868103274,0.6808033464132801,0.7300920806522275,0.8839780873072538,0.79690563624266,0.72101961053329,0.7506743847171539,0.6808083300626299,0.6704697154966506,0.638765305251639,0.6266957210067432,0.6537257870069745,0.5811117877513043,0.6387902099170075,0.5803219109503414,0.6181067479004981,0.5467908125331261,0.5801146039047804,0.7072728716832051,0.6885952755025948,0.6150733466683025,0.6761093241818735,0.8855857068268085,0.7567334934024719,0.7316613331995694,0.8174142092725409,1.0940393033681517,0.910695745752088,0.8346015380244584,0.7063289808870339,0.6931390126426694,0.9791353341628659,0.8516121147278105,0.8443451149062217,0.777029437844492,0.6573888107577239,0.5703882395132367,0.47390572884014065,0.5697233296081635,0.5317619263896501,0.4909003050723122,0.7105465341918851,1.5326887700911618,0.48936041217905085,0.6166248947601984,0.8410064486525025,0.8217353745860544,0.6034792803704271,0.8050389808122805,1.228244676067853,3.4130105219663864,4.380118588724005,4.619950317793109],[0.44030622491553567,0.31654825146550103,0.46821259583762964,0.40132579434722504,0.40768936092264757,0.36071862135067884,0.2972044060927323,0.39451304657518554,0.3179342072593925,0.3137771625811125,0.35719038083891663,0.4797610668498861,0.35176471789423985,0.3127285578458039,0.4681213455551143,0.43118737137571017,0.38898298072826,0.4141169460045805,0.42824480218141425,0.42271001398395264,0.4580421087170633,0.44282052750098466,0.6061696652635212,0.6102417300785835,0.6941930640092019,0.515244494793,0.3955408552806791,0.3762417706456277,0.41578165551541896,0.45072434272226924,0.4668856681449898,0.504386093636557,0.5290404645918764,0.5205752336009423,0.48663173526274,0.460362449965944,0.4811580122002398,0.46442401195804894,0.440140606691366,0.5108089314005559,0.8279771264497708,0.46483318882830194,0.4878868273235397,0.5343746891896877,0.8053616002176713,1.647460555882852,1.470311986823845,1.0378777746486492,1.3514537103345357,1.3663043671369162,0.9863461570110742,0.8178801668830192,0.784285621916278,0.5825516130146658,1.3745694420181866,0.755941851049587,0.6078388809985178,0.7018751134677162,0.9186420470861613,0.7288763958311408,0.6071000379601125,0.6798194607084271,0.5725942063034091,0.694221563874417,0.49342548871477926,0.5044927976963466,0.6766956576830274,0.5283828214392586,0.5515694099128365,0.5914705890900775,0.831382526470983,1.1526330272311254,0.798455815545253,0.7294155616353932,0.6024352603516313,0.879287018606246,0.50455112996179,0.5363931040080034,0.5018788133028934,0.5357952453172122,0.6164147760618396,0.6355173752306285,0.9113540704479085,0.569853189246418,0.5290447798943368,0.5159656706068043,0.498636316579213,0.5902187234803853,0.46203507891042395,0.5968170881706002,0.5196413223431839,0.6546120852942684,0.5510298159688334,0.5068471166070088,0.48561523741467816,0.5728255133904699,0.526859460056799,0.5469725029689044,0.5392994181029314,0.7540608691971545,0.5427881377012578,0.681696124183674,0.5109212630267586,0.6013193828446303,0.6133486317316069,0.5756782536137658,0.9192426754424203,0.4943476925818395,0.5262076774715525,0.7819730048425159,0.48123238668045404,0.40151052374072643,0.33886727843833436,0.3618870461835806,0.3257961130373704,0.32092436421853704,0.3708643196672787,0.343664377310496,0.39161186856214075,0.4228644567623842,0.37976650737915757,0.3298834086790006,0.3189008176901931,0.3085899638635715,0.3014443824437798,0.3557950645899843,0.48519037215765737,0.42669995834336777,0.4332032267612503,0.4687008656068416,0.4426185383843415,0.5215599272520011,0.44286154148450885,0.5575567830055765,0.4678456984891304,0.4467061769475517,0.6322196256825454,0.46559056562392986,0.4639339673298645,0.40891904541877144,0.48095458315957695,0.45331163397847074,0.4189328774768968,0.3570969048114531,0.3761074999621465,0.3937093978430879,0.3500331696667564,0.3961275240454302,0.3837755061335174,0.4022325525417353,0.4887590882406431,0.510855729069916,1.092201117213902,1.5337280922372618,1.038529291566744,0.6076752444396307,0.49027394257384294,0.5132635163541925,0.4538927587760401,0.48083088677284225,0.3939693107300172,0.37892802157511707,0.3423691196568252,0.38855257159006984,0.466834423370627,0.5444938988588564,0.49148706906655804,0.5974912298260034,0.7071224714977378,0.6810945677669997,0.5089084982257709,0.41943552377501764,0.41967462635453867,0.4220274805754663,0.4112956879789683,0.4867639047772388,0.4642185832589411,0.7834343362529724,0.472339023944194,0.5709953011805029,0.6280954540343093,0.4574448461605111,0.47448149107541815,0.4828468666899532,0.4987999336396433,0.5135602981595006,0.4807331659582149,0.6744557835897368,1.0278113921183611,0.6557097444650942,0.8755311811118779,0.6754006586064285,0.6046242471260461,0.63878235415983,0.4679771582717564,0.47334085627478584,0.4979542019281794,0.45292150401487025,0.47298972374806636,0.5188921995973245,0.5051453723499546,0.5580845927037336,0.4899553325653716,0.48789246011854653,0.5470883668494662,0.5255522276647718,0.5309216900727511,0.5315057946700718,0.6079802241456955,0.5617891302987963,0.6215262468195968,0.6638833533250685,0.6743997079684076,0.8008854194199061,0.7603308521925669,0.7170902958190628,0.8959863703796122,0.6990619961881221,0.6270851949165164,0.6904522966090465,0.734408186457531,2.1143770865909306,1.0554430031463775,1.5984200898953604,0.7102921963248602,0.6860880667107699,0.7461315856590978,0.8393355521454521,0.6775086071317518,0.595546467696834,0.7144744645180962,0.6943896498908223,0.8162351581803998,0.6156371362665387,0.897073252534474,0.6446295847236299,0.7043962049913539,0.9683914198219229,0.6166514746745485,0.577983642215994,0.6725385428050072,0.7357402721675289,0.8665195504119494,0.92369151363208,0.9085771024938036,0.7997148536200523,0.7378171896933368,0.9699130293718061,0.8166246776416699,0.7028987908339477,0.8548484357639357,0.9195963051799175,0.7043889957604731,0.7652245329271055,0.913308590105874,0.8177153225036233,0.765717592929638,0.800580791023174,0.7270407315213713,0.7116795058488324,0.6762922498343639,0.6660378905129788,0.6942427296709384,0.6047658935187962,0.6634539390188062,0.6052331226135965,0.6287604781281869,0.5499672903701,0.6026871658567831,0.6886283552641513,0.6508439490774414,0.5905383447808956,0.67418287561236,0.8502907339518919,0.7111704669605355,0.6902088652276028,0.754904627188438,0.9865887856601808,0.8699983174078495,0.7619910131282255,0.6488231357754719,0.6563879393130504,0.9415558710491816,0.7903230483002209,0.7587792129999956,0.7103122409967835,0.6263073665441066,0.5253602736666234,0.4848998116535251,0.5620642075781633,0.5286412956174253,0.5059789714519355,0.7188734734072219,1.4704341609714642,0.4908237636795323,0.6041328768925682,0.8095594002305754,0.8596190796002622,0.5392361036172727,0.8097052463284574,1.221199497880782,3.282681530402357,4.272233516619922,4.3982626345973665],[0.6225196458954722,0.4925811730919242,0.6043776268910056,0.5060951144507206,0.49387579544488586,0.4489980736166444,0.3576580570048187,0.4596747235967135,0.3351721833443716,0.3361717621380778,0.4456141838486699,0.556691461781291,0.43996305636761074,0.3780190689171566,0.5880610038519233,0.548176905852683,0.4724251626721189,0.5277295662998794,0.5186504830238661,0.5301119911828882,0.5767488082689682,0.5594069209323362,0.5987879824035829,0.6365611849563767,0.6222972695729364,0.5154016587387724,0.4645569581330639,0.43372306662429727,0.5087336103927405,0.5688551474901378,0.627207819443926,0.6678246149181895,0.7174375245828077,0.7072384972983718,0.657220413482806,0.6010427143402721,0.6348103681836639,0.5908870664969348,0.5401569011335272,0.6218513120485741,0.8960156528653277,0.5365688336802453,0.6094791876868921,0.5951409444638567,0.794236120822217,1.5725855362737051,1.350132001744339,1.0363540553765687,1.388764643202155,1.3240381000355488,1.003578573478289,0.8469630961676021,0.8038443906273297,0.662056670522775,1.5502359548370261,0.9644834743080843,0.7703779186681621,0.871607053185836,1.070834081717101,0.8328828424417284,0.7188867261511444,0.807649082276976,0.727851822986348,0.867486027281821,0.6366547471190213,0.6476065896513891,0.8085558039839915,0.673873919333723,0.69492508355958,0.710712581023848,0.9498794026114401,1.3095724700470293,0.9581812137369345,0.8876386002584049,0.7573457587752337,1.0813035501927362,0.6590328987707187,0.7043985375876546,0.6580470965885269,0.6979043852423654,0.761850759335747,0.767120745225252,1.0916444371571115,0.7760399629553926,0.62834968424688,0.6554813269766985,0.6459984884870695,0.7459887235606343,0.6188298446977821,0.7591805476409503,0.6981825691198704,0.8157257179204812,0.7439535849471052,0.71133050960356,0.6677869780982437,0.7687560299275871,0.7155725870333776,0.7040086628978858,0.6960410260418273,0.911233953094613,0.7115295057611587,0.8146214567500247,0.6660985138095815,0.7539882524563353,0.7559075173605581,0.7062802356851752,1.023993507653332,0.6365366618771959,0.6493460372732397,0.8711052655782173,0.5969750248554727,0.4952667456563651,0.4065696724921516,0.4286909255366193,0.3848540112464506,0.3554909089035002,0.3983845483691654,0.371523661799346,0.44281992286287947,0.4854422588707789,0.4290418766241399,0.3516892521980827,0.34483120556443325,0.34737690739293914,0.3385756215702196,0.39253376696469355,0.5214776022259616,0.48705691008285595,0.5333767136191868,0.5934622550924513,0.5532998794982986,0.6388569971335638,0.5619182178231616,0.6955850232179872,0.5700731666152503,0.5337345424569672,0.6991049297117417,0.529917068936098,0.5115692087756895,0.4686180186734664,0.5191326555904994,0.4931815712691415,0.4536340516860196,0.4067489339810071,0.4320599613587781,0.4652389080659591,0.40847361433686735,0.48102799750358777,0.4794254860849808,0.4734206610218658,0.5859252175324594,0.6025603091725236,1.2505980814283832,1.6035544491353608,1.073157094072469,0.7849738736134282,0.6506534633837344,0.6488526939715545,0.5878271472568285,0.6211619815009802,0.5024047688575674,0.4890378537443119,0.43240966111591056,0.48909535297036855,0.5679854138504148,0.5860195726693652,0.5552549055693324,0.6175798323724362,0.7249031529603142,0.6988671997674705,0.5627027021241151,0.49923316177916766,0.5124877809176616,0.5183372418873031,0.545531259993863,0.6317871661016357,0.5810113135527863,0.9282466689367691,0.6294474587745851,0.7281822361141925,0.6923885740202019,0.5920572234421695,0.5936077413071857,0.5892080352974935,0.5933186398393974,0.6020303229896655,0.5741582045842041,0.7893683480849673,1.020146393913197,0.6759654307994577,0.8974462091206455,0.7674862732375451,0.6979753044646881,0.7426628390320749,0.5712693911522392,0.5964333947539683,0.5917803474303893,0.6090203905840574,0.6071408087279412,0.6651113311234436,0.6782208710987844,0.7451798058908222,0.6470217393772255,0.6177989727781921,0.6853196337159511,0.6571610825749495,0.6230371355400229,0.6500675708712199,0.7309161899806221,0.6799090469683404,0.7365318956555728,0.7845062383218079,0.781004575597402,0.9075659432756222,0.8954453610997692,0.8331073262257815,0.9960330080906542,0.8244761977936216,0.7637948184333745,0.8159467445110788,0.8499189192038699,2.260091917380555,1.1470992404007831,1.679972322552859,0.8580901443769006,0.8948069626124843,0.9300711306070154,1.0253434721235377,0.8523312235777011,0.7409087691818196,0.8617052586720144,0.8232188687795038,0.8925884159849677,0.7414149116486978,1.0325376572798721,0.7444849382896486,0.806183243394735,1.0098547219729563,0.7511276687653664,0.755062672375666,0.8414568065355766,0.9018906934133399,1.0554171296689294,1.1222830910118933,1.0987052260049563,0.9796410705335177,0.9404970002312993,1.189385021757212,1.0051289306590199,0.8525044079131743,1.0144061555717303,1.04687421052481,0.8065977613432898,0.8954336268207711,1.0484150258293787,0.9065186110450844,0.8814681125417348,0.9461816181904312,0.86531596620658,0.8657542527398391,0.8397247815540962,0.8362530215307112,0.8400344515203646,0.7437923544612263,0.8147446450520026,0.7533163611094266,0.758739341307205,0.6723423363058143,0.73190086269725,0.7851461473837377,0.7327566458115975,0.686135226824531,0.7989637025345083,0.9259919109644213,0.7860509819295569,0.7771610950384982,0.8473769178602419,1.0352287911738067,0.9742456478525626,0.8509895670559253,0.7500446590483637,0.7567436581974405,1.0028730579701255,0.8529722844959277,0.8118626715278617,0.7470280964998346,0.709151137571336,0.6003450417489713,0.6059003893187794,0.6361246890728716,0.6304442769914942,0.6446322818021842,0.8206149888364096,1.5262752849535608,0.6152985312036376,0.7102526706891152,0.8953626520424074,0.8932303122483207,0.6382237603471999,0.8871398686549102,1.397299818074963,3.436065885721411,5.214264853246249,5.764886894507499],[0.44539595476359534,0.3227743395048915,0.4821838270685547,0.533419274214838,0.4326439203114189,0.3991223539674808,0.2762827552276578,0.3636819596746052,0.29088828004334744,0.34267121835289516,0.44525344636803715,0.5122258236687164,0.4105469701317949,0.4173501785885519,0.5823839158280724,0.5271925209986732,0.4760876370832372,0.5162472504984922,0.5371604367221838,0.5159554911439513,0.5844581077822459,0.555561989485269,0.6137897971000011,0.7036381781995154,0.6532913326432848,0.5623154989898747,0.49115742182821287,0.45163711004594426,0.4922770561935878,0.514603770446109,0.5870087457916658,0.5770248985393084,0.6306632224697514,0.6109965209027607,0.5595862596419552,0.5323760852064041,0.549490342283627,0.528429927475209,0.5071343038171776,0.5563244257449605,0.8529056808038347,0.5424185437107167,0.5929048944294738,0.5774654828444016,0.798145305674366,1.5295283922978038,1.3277112664975608,1.0288582930502637,1.3174934903734365,1.3117996860558667,0.9695304602124203,0.8425096521708114,0.7329721290443453,0.6137394106501133,1.4991398946356356,0.8896470759374583,0.741757934587561,0.8422136734716494,1.0200107324107985,0.8199007622982171,0.7121089399900384,0.7597915309847934,0.6801423223113957,0.8440950790076279,0.6198212820351608,0.6183028016165585,0.7949480082850576,0.6370447739032128,0.7140849414357942,0.6923838286430443,0.9597706727520818,1.2879879343934708,0.912563067681496,0.8695917151379126,0.7124813526974072,1.0591316560073603,0.6041320414927706,0.6146947224189614,0.5819332198520514,0.6286034055723788,0.6525327429817233,0.7105462237807846,1.0688961281789495,0.6800542709294687,0.5783173626050057,0.5723725625760193,0.5720984302918481,0.6566470596827996,0.5513293707304885,0.682521893223124,0.6255341616676331,0.7881911503470163,0.6753397901086396,0.6183533628955948,0.5986884949828181,0.6945068821283009,0.654598869388768,0.621799779116455,0.6048650164969303,0.8136346806265804,0.5941729190310628,0.6919011060565187,0.5272639520658878,0.6106559441123933,0.606518415111472,0.5679033550886163,0.8230327991560069,0.4454575377745695,0.4761114353795114,0.747290494939353,0.42851415146755867,0.3688690054893358,0.33148144867544327,0.41470050094813765,0.396030627454725,0.40068449883313406,0.42938306471660354,0.4204182784014892,0.49372717593172555,0.52176369295864,0.47726966010142907,0.4131532632125133,0.42777388935645044,0.4202672113573012,0.37907528898602294,0.3902990489812275,0.43776060659471033,0.41207575557612425,0.3938820930411961,0.43590852710045597,0.40969520558314043,0.447632403658827,0.41035509378947954,0.5466213422156572,0.44087340541666414,0.4419865233934305,0.6732814622479018,0.47628895426203555,0.5056054073366334,0.45700482579508145,0.5358796155712803,0.5150012725058545,0.48315347611952897,0.419574149809981,0.4147300510950565,0.4450294654021597,0.3969382942394268,0.437788502949968,0.41498071424019056,0.4115619488443445,0.4730943297262118,0.5330330760720555,1.1859109981769689,1.7372542073420176,1.2216665957753434,0.6668156489380773,0.5386354017457198,0.5378385062346728,0.5023410815938398,0.5313603839798918,0.4411029964049661,0.42880441172209355,0.40688697736434065,0.42040301821620424,0.5017596006244808,0.5488186637906837,0.5043753762982521,0.6026180149834403,0.6865934041443277,0.6847905800453196,0.5159339610732339,0.4408531439525096,0.41646534710628336,0.4455743193264151,0.4471353447693421,0.5205080570986076,0.49878028543650965,0.8513839485007173,0.5315121079226833,0.6160824049768251,0.6413483240677222,0.4576008286208768,0.45604099169022705,0.4490215091725049,0.47880480710031015,0.5253329774489748,0.5274831940743904,0.7414422669465116,1.0256313478538848,0.6203558658561873,0.865549434767825,0.7546130693376478,0.633700289994587,0.7098308489369023,0.4617381512267521,0.47281605401444426,0.4837501917303509,0.4248753073981515,0.43470313766083374,0.4754054846682652,0.47794873243677527,0.538908487665902,0.45853934873807467,0.46701493497191643,0.5434455359229202,0.5264207799829815,0.5393916247152595,0.5344616358377429,0.6181153265813653,0.568473343303698,0.6281093685703951,0.6701885643027635,0.6865830566200499,0.808398856449613,0.7707512237577475,0.724567378839221,0.9143521203413446,0.7051794710483215,0.620346207002369,0.6900173922632042,0.7276573260663145,2.161066893572361,1.0737241782194433,1.6289082726805353,0.7383409717897672,0.7382247158246837,0.784653542306318,0.8972555472318655,0.6802085952033078,0.5826595289464719,0.7133024829361775,0.6985090324546174,0.7753352083397314,0.5870473928141899,0.9172030969337386,0.5814656747726906,0.660582639689388,0.941981919789043,0.5462566062454215,0.5457567212419376,0.6902442902076323,0.7587527139391046,0.91704299454073,0.9747985163108768,0.9774037021136458,0.8207474323260828,0.7997343143958874,1.0569735113393712,0.8579643901810081,0.7358101548009204,0.9173676659899388,0.9575920926047616,0.7185744518149764,0.8061631009531325,0.9729075052513158,0.847678651330258,0.7965278086205889,0.8504321670162185,0.759966879321986,0.7523924313019978,0.7062954031038109,0.7016254038237073,0.7165068143194698,0.6101211394174156,0.671391995126448,0.6045890787358884,0.620117390341274,0.5305670707353762,0.5777699120786651,0.6668803541440724,0.6452279876647327,0.5704271463180334,0.6614636265876809,0.8356403301741575,0.7048144438489212,0.6838417477089903,0.7626317053017014,1.0660026262090088,0.8872694270794405,0.792034139586746,0.6623319521409538,0.6610364580214065,0.9582505390817023,0.7967542426807084,0.7795245301960915,0.6985036436548347,0.595696699233051,0.5147024021716335,0.4443708362581575,0.5143942570630758,0.5091946389802988,0.49228670260427265,0.7460821187636277,1.5536252033652387,0.4596975680756119,0.633235598656696,0.9130394713040572,0.7546418256158862,0.5894034598191847,0.8381289644344635,1.4454327832942806,3.7021386314009894,5.214636331718556,5.8102176354808694],[0.44530099463115974,0.36413938371315735,0.532304980564238,0.5663277174407989,0.44124188366961437,0.4044949131893025,0.2803959286489593,0.38721704031863546,0.26434217297670737,0.27949064634840903,0.3790493203096043,0.4857127218061337,0.3758071272039851,0.3237892813852013,0.5174046465434129,0.47027198520960584,0.4189545113622441,0.47074600134028327,0.48385116857094934,0.4693028785454413,0.5259026336063268,0.5075276066434791,0.566093348342526,0.6158954052322508,0.6115155254847253,0.5038607097695592,0.43795353814164195,0.40915585693264084,0.449133421696862,0.4833287592028115,0.5236578363735099,0.5433631105290984,0.5768930475406253,0.5649169268498536,0.5280532421341775,0.5014068337689032,0.5197404765782293,0.5087856391665216,0.4775440335442664,0.5370408098400478,0.8504018243333893,0.4970275835300019,0.5540869491732504,0.5555350062125257,0.7587386388632942,1.5429415620037457,1.3029034366166312,1.0229110812389584,1.3746746013495525,1.2958417769253052,0.9674415813795522,0.821977801772846,0.7233181569113397,0.5855110015428525,1.49476929448024,0.8774181631527361,0.7030808898054184,0.8049872765676643,1.0051967276529359,0.7927976603213299,0.6756771874237092,0.7358493598039426,0.6262958905969734,0.7764555078811094,0.5588387727627911,0.5711112844889864,0.7581520283183628,0.5970188598605015,0.6230455685105679,0.6345734204967745,0.9118701788511371,1.247903507243826,0.8752420845134313,0.797307110032237,0.6423921874907331,0.9622082929185567,0.5600967614030815,0.5793337756454737,0.5429381165917396,0.5854684348994617,0.6490966245797976,0.6838972563581052,1.0236515928001308,0.6775412801502811,0.5556932032522519,0.5555450906125203,0.5461426230204772,0.6407446950646231,0.5111766046003325,0.6447085647744831,0.57263544751798,0.7045109695705488,0.6088687630118339,0.557603330154395,0.5351907179217709,0.6229452717554176,0.5777966895921978,0.5742778783100244,0.5666201946862103,0.7888585728945765,0.56934997060125,0.6810780601930466,0.521003239491584,0.6204308510695661,0.6249749522537532,0.5861566221211248,0.8546255263034908,0.4677075083790902,0.4905334015229016,0.7528411831643957,0.4503938710135785,0.37946401304514726,0.3286586107116429,0.39460680737799547,0.3441180155041984,0.34276457899134605,0.3841716830641661,0.3709351826409723,0.4485503957608805,0.478109139157586,0.42079407617879766,0.35224235673303117,0.3513176463630182,0.330375388438713,0.3099138938275501,0.35512203532381986,0.42786540471953505,0.423034271325019,0.4025490744066219,0.45710526102634624,0.4239764381564045,0.4645460635961425,0.43147917727952184,0.5712215107769566,0.45318131740362794,0.4468071676494514,0.6632548807518596,0.469498172014259,0.4879486886972563,0.431787871980076,0.485738962677672,0.4533061930676116,0.44064977550831913,0.39166450633577915,0.3880780205910135,0.4099145801008943,0.3653232573439941,0.41592950063813106,0.4123617207684271,0.41144012153131065,0.4911704193335305,0.5390732549353042,1.1711779111016634,1.723726634333801,1.2062240674759777,0.6376158208120738,0.525922621592686,0.5399399405490265,0.4842889982584314,0.5484903174929578,0.4311086755463173,0.40267564780035525,0.37473892993434155,0.3974862909096798,0.4950802002381622,0.536011432995811,0.48470019994694313,0.5703597089146605,0.6672084903570239,0.6662500583927143,0.5144946032848772,0.4439484312145015,0.42046921782945507,0.44465384977554334,0.4433139405759664,0.5204006060714859,0.4885834193474875,0.8353987717255025,0.5246881994508398,0.6207633320293813,0.6272698142376842,0.4758178060513448,0.4771304012195656,0.46475922174799916,0.4839400636613501,0.526593801253915,0.5156789402164017,0.7498048441374356,0.9910810087827637,0.6114019811787756,0.8543709560013328,0.7134748323291727,0.6140127321371653,0.7096202596960546,0.4855819895302711,0.49879468959034173,0.4835189036943579,0.4585538195423977,0.4596160386300704,0.4901425328461313,0.5037147952312248,0.5535446305995755,0.48076513734348814,0.4965132065454499,0.5772640423837333,0.5603265935563517,0.5494254570035597,0.572762111596491,0.6625374334660077,0.6170401449546944,0.6658678260892799,0.7179299471847211,0.7512787326626338,0.8496663155942387,0.7943398340369586,0.7355662619349458,0.9429737501798566,0.7171129464056412,0.6520474321428968,0.7215607970145922,0.753740370067395,2.19406778003391,1.09655269134739,1.6733029011869978,0.7937070099537511,0.7793920889362285,0.8105730984506452,0.9210961997524446,0.71360723892089,0.6143693077355878,0.7299030848734203,0.7346767657600278,0.7910992167341845,0.6158597131932532,0.9392124177260419,0.5956992426755646,0.6826490604768716,0.9444948206950506,0.5603360515394153,0.5698709842267893,0.7149781503316851,0.7742696318836655,0.9213274996517437,0.9775688752975734,0.9756999741511382,0.8278487756405725,0.8184194778812699,1.045609222181054,0.8580486858407854,0.7650561807158998,0.9380623588446707,0.9702802876860999,0.7486393748122121,0.836664963495762,0.9949204664508186,0.8889162509559219,0.8466833176839077,0.8966743184043782,0.8120647627684846,0.7971003209797322,0.743156510107199,0.7420348725248285,0.7633568282505875,0.6592173087246319,0.7077968453607862,0.6452554199757062,0.6632406477318621,0.5737985713530965,0.6109976783745957,0.6849490550895455,0.6779030175061358,0.605782855425781,0.6854938603164074,0.8439611069418468,0.7149094825623172,0.6826693545335434,0.7489534198694496,1.0394617631479386,0.8407440469065464,0.7588441985198561,0.658261143728453,0.6545552223587916,0.90739449105189,0.7585779940373322,0.7279379073079248,0.6830311566865988,0.5707593612105663,0.5194623226048736,0.4651152643496921,0.49826297781940365,0.525801229012821,0.514205867844154,0.774389366800848,1.5462017552039085,0.4774796026358038,0.6836265124270775,0.9904438701721487,0.7406383694356716,0.6461617712870074,0.8915678154170295,1.6841963086500271,3.9462049582070993,5.444495022122222,6.159511729583535],[0.40516145562385747,0.38152514519600883,0.5466231934328514,0.626742988061469,0.47158616993713476,0.44493276839420964,0.2762867486493139,0.35118317322800446,0.24934769640461069,0.26822643885573766,0.36271760940404646,0.4580289855146309,0.34651151259888674,0.3094513113555382,0.4684857141483799,0.4227299280876777,0.3919522440481549,0.4224521333002778,0.44873094935330227,0.42891071367005323,0.4750009108558825,0.4575881155623712,0.5517595228074439,0.5987432469691024,0.6225639215005234,0.4898782601787042,0.3979823865542554,0.3732239545623744,0.4052877525244292,0.43402302768256434,0.45354013680112193,0.47799613669359636,0.5016749005539496,0.49076746065702437,0.45916845234539566,0.4421070564405789,0.4563621438222581,0.45094650900749544,0.43011243049087355,0.48437795195965727,0.8107045547506754,0.46194250173726575,0.4977899739923028,0.5200628186324513,0.765593619965774,1.5597287054505844,1.3421744534078488,0.9833843426241728,1.3297119904737806,1.3263989440062545,0.9809814227757351,0.8238359739792829,0.7097317945730369,0.5704566145973399,1.4265169994965143,0.7615164430595353,0.6259119536114404,0.725881938783486,0.9095597563102628,0.7317249049773591,0.6249262936997634,0.683779614762372,0.5751560950317323,0.7339406284231128,0.5104890904910662,0.518829117231045,0.7121075930675791,0.5493574735693774,0.5830686267619756,0.5865570021139597,0.8516950703588959,1.1511818594927605,0.8014365918380123,0.7476021605347122,0.6018116747135865,0.9088905009063941,0.5096356042034667,0.5082629779835562,0.4791260381390909,0.5242563190400608,0.5739797242350264,0.6225949894942202,0.9461135472380743,0.5539593950899021,0.5413721808793523,0.4946450042677492,0.48969313035203177,0.565680257960853,0.4481106484912839,0.579375011717567,0.5009879155477399,0.6496059443794885,0.5276185703213535,0.4751416515927608,0.46529886771557755,0.5368894413020865,0.4947381104904801,0.5248464359931762,0.5109135923434464,0.7521552090330459,0.5035938651301758,0.6432828790242108,0.46027316771014787,0.5387817733791851,0.547356869899621,0.5473295844037771,0.7749822216425135,0.4312116212577702,0.4700255439988262,0.7320945758312531,0.42164790904834326,0.3496458308248406,0.3053305687611914,0.3761949078911495,0.31668764035653174,0.33393534272859643,0.3581667340618722,0.34974558287810675,0.4100963581401236,0.4457029069367254,0.39945788217816836,0.33368863107572877,0.34393778521816304,0.3346899893960749,0.3150267851449295,0.3503795911356409,0.4578498785626224,0.40338633262594276,0.3898412475490568,0.42753541638840076,0.41326411015833364,0.4507729055588541,0.41668396321347745,0.5405649549159248,0.43754764219075615,0.43681030782948993,0.6651947267991329,0.45931152810902953,0.4818272549361616,0.41849856830720644,0.4811942752205836,0.450147490868765,0.41849627015243746,0.35871968827223405,0.3478376793991196,0.3665754662542093,0.3251899389156838,0.3699075860379154,0.36423327117164483,0.3718441290213238,0.44905508864248833,0.5160128144661066,1.031581026079295,1.6851020168841824,1.3743518113410793,0.5794205341739508,0.4550566472215051,0.47392642123676965,0.4299461051073342,0.4691814271809301,0.40852188355561314,0.36430539532665895,0.35323595308723493,0.3647262113749243,0.47466837125592387,0.5206227035897678,0.48463447723179714,0.579219243355438,0.6696798007408817,0.6669546027003795,0.5075668542600114,0.42598683633309176,0.39716683962051763,0.41066562942290086,0.38831091099876647,0.44715825782601487,0.43463343695258916,0.7429391992560398,0.4438271566518967,0.5404272145024507,0.6099398125341531,0.42883419489269964,0.43604092591497884,0.4281141215116844,0.4597063360383569,0.49095225469292664,0.48451614147313493,0.7291483169543552,1.0147622532103309,0.618830105972772,0.8679604300863422,0.7460794540081039,0.630015571120651,0.7169171711596282,0.48143494637483064,0.4852293803362374,0.4854575300330695,0.44330385199846006,0.45117557204174674,0.5196423309682084,0.5014153897917224,0.5470610574647676,0.4939647202073217,0.5098344374814515,0.5900003837461418,0.588914463379229,0.57901000704275,0.5831455135380943,0.6753143633579649,0.6297660842678672,0.6670430590042089,0.7064660091903356,0.750339801945811,0.8172062014783266,0.751010527568634,0.7217780680984393,0.8922433592557649,0.691269086094842,0.6330894957298063,0.6925198396993992,0.7256175890314802,2.1005603869576945,1.057710991693864,1.6522527378814975,0.7839027992081209,0.7446903507555565,0.7714161473538265,0.8800372310677091,0.6694634643033301,0.5960266691527829,0.7315009896080952,0.7472313896622197,0.7842060119677602,0.6117531696830683,0.9263205824586104,0.5742201610623378,0.6410544103697966,0.9413802955757141,0.536006508333655,0.576007041902625,0.713973456974087,0.7774224103620726,0.9133526315405961,0.9562490640583668,0.9712598376821812,0.8177666373327632,0.7948104676794526,1.0199119318661807,0.852593438148829,0.774064893289243,0.9288872921978294,0.9744859674863556,0.7616302630057733,0.8298166871777868,0.9798817455036949,0.8976880553234793,0.8295784241844614,0.8583011189942654,0.7782543313758296,0.7800960966219382,0.7439260382978908,0.7349770504072356,0.7259730947637802,0.6468509208176852,0.707632601002807,0.6327717742971422,0.6474511172849151,0.5782424772543282,0.5965032228029559,0.6806580105796897,0.6794342188129217,0.6024366412636665,0.6931872212129574,0.8268980020910447,0.7259551315076485,0.6862778875344873,0.764654123725136,1.0908639624324414,0.8147787019919046,0.7515448530909788,0.6596222028270797,0.6445746552490061,0.9073553815967627,0.7670739543978329,0.7450118303689955,0.710650085318872,0.5918022954018558,0.5385559933906088,0.4576067167992779,0.5177993642303362,0.5360986790523229,0.5240936293592972,0.7774138230059929,1.5541760399893434,0.5192692095704149,0.7053265634508356,1.0217590596713388,0.8075681927006785,0.6874099300536013,0.9030562923918007,1.6609171341785125,3.9182521279468876,5.121309287916005,5.899211638582299],[0.40579097589882407,0.3908087375128771,0.5680222693059211,0.5716480831156464,0.45193167867617107,0.41485734205231506,0.23870019496400305,0.3882716184409498,0.3057917338341642,0.31450321525233904,0.3589116057840093,0.49081383259040895,0.35013760218127293,0.32147559362001754,0.4324336682810251,0.407323635004573,0.3920563456320226,0.4015580900992106,0.41569340683370987,0.4174296119396353,0.43716866799880855,0.4371461977329956,0.6511095453545019,0.5961870494654704,0.7006878825912642,0.5056697698443489,0.38095203204721345,0.3757475846838733,0.4163057277016026,0.42696621782089855,0.42663499341925304,0.46885630517411203,0.4910034682888379,0.4776770229369774,0.46263849129404067,0.4339682067853582,0.4576388533403066,0.44550420740465313,0.4274353599574902,0.4939662293027823,0.8119140027099138,0.4726107641776036,0.48825824424089964,0.5426419193350092,0.8068349777108432,1.6448769150461826,1.4307016557973835,1.0433097888992604,1.345686252183801,1.3363009008490006,0.9483522433383189,0.789348449758618,0.7575701740098043,0.5803656852859426,1.3271587395399242,0.7348628526340237,0.6195696776845286,0.6892111785561357,0.9059402441473976,0.7229265352420736,0.600169799215766,0.69165313793735,0.5718455305910347,0.662268241667983,0.4731230408237089,0.4997281225343479,0.6472564076676346,0.5101649099724862,0.5336749243004475,0.5652972332566577,0.7942151219791495,1.085664297726054,0.7644224138913336,0.679069414643567,0.5825750188614259,0.8057714064176348,0.48240069399422264,0.5108573255113285,0.4817506836317367,0.5147357640030141,0.5827886451081293,0.6194711212243601,0.8625766854346012,0.5378180338284622,0.5184966106185972,0.4988517948292443,0.4869036678729663,0.5776829824940831,0.4386864280577314,0.5528946281889283,0.476088129826731,0.6051464947528166,0.49330215985706305,0.44628308598600536,0.4370832600945863,0.5037352600532374,0.48110033824967713,0.5153421385084214,0.5052296240984485,0.7290047573119822,0.5319996563055077,0.6912494584539766,0.4830650847545253,0.5632863183221081,0.579724140032185,0.5743151920181543,0.8358066164941687,0.44457728532781543,0.4691972660336422,0.7317597341228078,0.44757720511721993,0.3889247187813886,0.31994136486236735,0.3467710114720946,0.3254144038750763,0.32015066823805005,0.36802673644032974,0.33156278380850135,0.38683277059343707,0.42472335292486174,0.38102563718912247,0.33798216590167524,0.320654857356171,0.3019778913329111,0.29425975750922384,0.3309087559701531,0.4555680939064435,0.4341342102499408,0.4070975963731307,0.44492743379540783,0.4205216425732493,0.47954961433232707,0.42049549759164284,0.5267623015987093,0.4345562848464817,0.41725543861477016,0.6560837342526248,0.4554497525986155,0.4673586354245579,0.39844114702681604,0.46517176366234575,0.43352698001265855,0.4052796864355408,0.3561312585073773,0.36553070625966216,0.38482787164242727,0.34259698095682517,0.39887751068557553,0.36920596433627906,0.40065129728080867,0.4930571067710709,0.5186012633804098,0.9503212128710853,1.4883566058939055,1.127430424774278,0.5410211086151399,0.4766126222156059,0.49247214520657706,0.44096158268427416,0.4845338727751981,0.3713930872603289,0.3708864460313817,0.33846853349181805,0.3668553562433603,0.44923368494083443,0.5441643421947753,0.46644177688118593,0.5762137751053609,0.6763042145117609,0.6706138936241488,0.501883057761325,0.4049648527904383,0.38373952298711667,0.4034301672884017,0.39791575783232747,0.46671252733847896,0.44530624223037824,0.7574943402864442,0.446934422288363,0.5542184863517254,0.6361003651055951,0.436297123335189,0.4469383520393417,0.4453547593454043,0.4676324546633504,0.4801411556426464,0.45074710259410883,0.6745545542938296,0.9819831364697179,0.6033992430072617,0.854190137804545,0.6375237119581445,0.5884297354931779,0.6724202726968203,0.4620121981434793,0.48268195984230317,0.48436186809994025,0.46553967805264823,0.461410075370156,0.5248640257629321,0.4993390289976051,0.5279611375542782,0.49139388706179754,0.514680555778692,0.588902932318563,0.5875230155213007,0.5916336202553694,0.5919719850389531,0.6655784418473124,0.6341580370067494,0.6691825305046367,0.6975558827622361,0.7382413402848991,0.8167947119010054,0.7322780518659933,0.7144730383345058,0.8723822964675542,0.693915189968223,0.6364939780347412,0.6895840725878178,0.7269106492594789,2.1120562874226665,1.0588344131565726,1.6156140307151883,0.7695225148802821,0.7291531882000541,0.7658777068748571,0.8474511189194015,0.6753298152362889,0.594327898062964,0.7170619952969776,0.7280571534587963,0.782623466806322,0.609693353325846,0.9149205250101221,0.610434651938014,0.6798942627017859,0.9643931595097509,0.562498901727561,0.5806015727870749,0.7020643964312397,0.7589265175083072,0.867059761317705,0.9096595045744087,0.9150393857033862,0.789893623819327,0.7497567445166183,0.9500135360483855,0.8013357575497984,0.7434642687133702,0.8768545090115792,0.9309147468975613,0.7394802022472231,0.7916587856336914,0.9156590460655978,0.8528466345586427,0.794322548163886,0.8091240801557954,0.749508100484616,0.7464110023701654,0.7122297312270521,0.7043174259661805,0.7059697123568005,0.6419946617433357,0.6909659335679311,0.6325017212397449,0.6503448981486473,0.589965852252359,0.6112775471703782,0.6895179052292173,0.6918986769680943,0.6203246086929188,0.7076631353226245,0.8341799652175169,0.7279978683353725,0.6815173338959127,0.750649267614222,1.0674892518150705,0.7870388816991822,0.7406809392806233,0.6632875982692661,0.6701213658658658,0.932549923920677,0.7628869134126992,0.7287371698325799,0.7048849542537803,0.6096264520813075,0.5514728865988204,0.4716090626932984,0.5307353069236205,0.5465135150567682,0.5167255004675831,0.7818617918722979,1.5589064635237662,0.515677237635252,0.6999075286423861,1.0034907913299225,0.8664451916252901,0.678584211318027,0.8791147079342193,1.617674025545293,3.721341551246074,4.595249746409695,5.141629969661722],[0.3969871798629464,0.38741945046934556,0.4529045486098094,0.5597925481621527,0.3740591208667985,0.30096012540576284,0.15838484442722808,0.26928917501287775,0.23410808771738256,0.28160293650751317,0.2981095673534586,0.40064190907413066,0.2820607285467712,0.2897503724870328,0.3541170339597557,0.32589001312070837,0.3413288741113598,0.3441485880668118,0.378941466313052,0.3499468131453155,0.37034939907002995,0.37482176113549937,0.6490895597845916,0.6019886681544628,0.7281378421804696,0.49910613792502817,0.3397266074765701,0.31952309615567087,0.3321436395344076,0.3288022551743572,0.3427950621609075,0.3557016643121711,0.3558329931888471,0.36175083203878394,0.35145369540581023,0.33542272299250325,0.351873392995073,0.351052743815044,0.3237683110510607,0.3854641570433065,0.7441505949320903,0.42313042698980163,0.41699789067377674,0.5162515175028319,0.8056791508887172,1.6562069933010874,1.4877074373529198,0.9765486485085375,1.2930342302694355,1.4026085992203134,0.9903575325636401,0.8371998231974728,0.7320312447787152,0.5609715378058914,1.2643853681110684,0.6040370261109954,0.5651591949156326,0.6047044666259619,0.794258132486648,0.6918733980369842,0.5456343527016935,0.6066006204803102,0.47924854824644597,0.5610000446167246,0.4136785926909915,0.4381626408164981,0.6115105215188911,0.44367791953976066,0.5007681264153019,0.5421176240606659,0.7558984866730402,1.015662520500314,0.7247983904141461,0.6369718673613551,0.5161363762594914,0.739368730089191,0.4051161115566545,0.40787850823680794,0.3875964795427171,0.4251242723962288,0.4659263507056612,0.5502499844627441,0.7758999940116192,0.38856569182731554,0.4998162244807231,0.39321328997514965,0.38534907315278677,0.4844135225556411,0.34217390223387384,0.46423065849331135,0.3807661871587971,0.5756536281799435,0.4119044313740508,0.332655710928118,0.32769303678378564,0.3882062203225666,0.40209132003533155,0.416884896735119,0.3988712338121763,0.6532070460365759,0.40081085659127436,0.5909762769351788,0.3496459232527597,0.4167844345074743,0.466651945724776,0.4659856141291748,0.6866497528401543,0.3529544166744868,0.3846342105603565,0.6988066205232276,0.33747153259326335,0.26913656866163066,0.2097151024784799,0.2704214277513478,0.2650818517739063,0.26776899099890017,0.35144677579901334,0.3170675327408919,0.39290071564352624,0.41361958019390743,0.379255411955268,0.3423812699625969,0.29825225736710387,0.2734205542569367,0.2519233362119879,0.26847301414242164,0.37804491975788623,0.3293584546395776,0.30511455493368117,0.35743767250104674,0.33041725209874023,0.37312110036197993,0.3457361375847259,0.46083998459948056,0.3870041562213408,0.39862615222896713,0.6110538562731879,0.39541776692550457,0.4133593460757191,0.33598520800851467,0.4416106476118098,0.422998222843756,0.3630799603427379,0.29601895290265756,0.29705798370513753,0.2990413445123975,0.261850400046288,0.30535393713800063,0.25608135782892394,0.32636443488146916,0.37794976689145504,0.4071209477265945,0.7941972014187403,1.4035283957337514,1.1895211821898484,0.43325619264079246,0.35130098535716886,0.3570919455473835,0.3104255618185932,0.35163880468558384,0.2993476517342005,0.267013684593572,0.2717952465156937,0.2846558661720502,0.41298209043631023,0.49915635117118895,0.4293911366044207,0.5625650288302533,0.6600823302553774,0.647719354829774,0.4467629967391875,0.3570047131730336,0.34765458096769203,0.3400515412078765,0.2814670252959287,0.33378120880362766,0.3308541978180695,0.6083183790452958,0.3125377635141097,0.416860234920741,0.5559760894860506,0.32179779415630555,0.34187124877796826,0.3684657708076575,0.4038647662172461,0.4134263837093412,0.3967664878757945,0.6000288331986248,1.032493324159158,0.6352243342762266,0.841096586622565,0.7230738480344762,0.6190952143764955,0.6690582522414296,0.41088658622834096,0.4033669330136431,0.4234524988823439,0.3536226771374938,0.35818623123424775,0.43557537791061957,0.38231452789920034,0.42340507866141386,0.379557127019722,0.4067887324458681,0.4790724749649334,0.5029130404488968,0.5142660459243403,0.49597374532235927,0.5726370149535246,0.5453934616119253,0.5820142687980975,0.6044995259824015,0.6566061736351798,0.7473071391551922,0.6697790884411278,0.6708643555924214,0.820880252829795,0.6290868415822144,0.5429751823588103,0.5990862369497011,0.6240366169988868,1.9828665135525618,1.008740546042246,1.5333646051354166,0.6642299150809168,0.5966138453614498,0.6605891861716213,0.7549094385268965,0.5564015935592407,0.4870819723129603,0.6334441275201583,0.664213585519484,0.7280075842166048,0.5208526535586159,0.832345834442834,0.5668902566124007,0.5857526807030101,0.950918314106591,0.4411816091302141,0.45943779186996914,0.5928777278394497,0.6651031418006008,0.7749556525501203,0.801314770923725,0.8189638431543623,0.6850407286405159,0.6409275276427198,0.8420063764989083,0.7035955368970994,0.6528065814263276,0.8103325103898381,0.8838281570679735,0.6779931995351782,0.7062607386296536,0.8441754337615935,0.7979700659931499,0.7046809722613813,0.717962066078776,0.6513194808849627,0.6341769533932303,0.5992112058871926,0.5952331708019135,0.598549617081696,0.5313546361138979,0.5967159407289385,0.5104654015384643,0.5432751849412317,0.49566508277517507,0.5113712812612347,0.6364769229717111,0.6275080479168698,0.5456163171671523,0.6424705257001669,0.7974268477397662,0.6934414102727957,0.6425036169551256,0.756185637729379,1.1197890410791334,0.7402231013219479,0.7060712559904602,0.6133086411657287,0.5920858466905574,0.8913602297576271,0.712743478750632,0.682590970963512,0.640076586964502,0.52258619470452,0.46664249808725966,0.3714728818767972,0.46852876224192236,0.4553097804211159,0.4125018340037952,0.662712483601436,1.4557895784997958,0.4708549524297965,0.6197307420403648,0.877585452349086,0.9044207725621256,0.5796674877624253,0.7884745048009761,1.3702431275612408,3.303349657096908,3.9272262270403546,4.376901350809849],[0.3932371482002361,0.3990502210881372,0.4348250492284479,0.6477773645987285,0.3627803701482738,0.26507097943112146,0.15421686595264633,0.23454183681101928,0.2964545260982929,0.2589303036591006,0.25237704389781873,0.38881880481109066,0.27785361311333473,0.2860129374555067,0.3343453706726753,0.31294885453018223,0.3433364079697194,0.3253923223055981,0.3732713964135358,0.3449654746006141,0.3800993171339993,0.39228282397484,0.6325622111670717,0.5893470294463454,0.7337988774946608,0.47955404538451274,0.33426587556863735,0.2919653254029673,0.32214728335603815,0.3087818830459067,0.34073324397863985,0.33723961831661525,0.35449306761121774,0.3655244756068964,0.3308111433238885,0.31919098531512596,0.34935524329196715,0.34871918130136714,0.32550804034417524,0.40024135104833336,0.7365608450392733,0.4036975791108249,0.3972397914246306,0.5109104989360157,0.852716440868565,1.7125932681301421,1.5977185773370834,0.9572191207572508,1.2822100517310566,1.4798470629334484,1.0431243158866996,0.8991831478985315,0.7753253352718045,0.6004826622228814,1.242575060869624,0.5521919586600104,0.5353056236074444,0.6006889905972075,0.7435915267514858,0.7087822324309889,0.5439849134569549,0.5693027502713305,0.44066337343913403,0.5341253489665596,0.40111430128195497,0.4187716910651753,0.5681575968897424,0.4320075920285077,0.5220901384356244,0.5529345574055882,0.7484189258961609,0.9679004791612226,0.7009587194245007,0.6681905370758286,0.5139125438812633,0.7517904836450743,0.4018232572829574,0.3821803469117791,0.38072765231580163,0.42068387781509414,0.4546246874739705,0.5644627421102711,0.7378114464643749,0.3625723022132148,0.5765874318204268,0.38125560318775326,0.3836770740626412,0.49685315393283747,0.32966881338907617,0.46482910866000543,0.36823962745036226,0.6332833200153708,0.43557335753756216,0.3227517414127076,0.3149153417038541,0.3764291290758432,0.4131264549587826,0.40245727906487855,0.3662123186971751,0.5915487058341261,0.35124397895583015,0.5559969193661768,0.33733133991724457,0.3760849832332037,0.44930289024088,0.46071530344090916,0.5915198072390379,0.3601022929461808,0.3615985476503951,0.67088851119219,0.3189385540674377,0.2653927047606755,0.21123685409178145,0.28063715335433426,0.25942009873653954,0.26274340738243135,0.3353179544258333,0.322576814993656,0.3830296792414297,0.3743404897470725,0.37936053622449606,0.3355501244043818,0.29694174197169465,0.2574227805265962,0.2341161803519682,0.2634404959199137,0.40246107840676004,0.29949071372593583,0.28706827373276544,0.35669811250661976,0.32597290051010874,0.3604896132470282,0.34595554951512814,0.4523049737239371,0.38624522151953306,0.4283094594993743,0.5782090633812349,0.38206471103573497,0.3986783496285514,0.3372517872890997,0.4661445070316817,0.45534093509933304,0.37097039284606037,0.29433736503568037,0.29025404771472385,0.29265511169065106,0.25035343626383016,0.2753612331668414,0.24804348419938255,0.31510011157533185,0.3658200684094741,0.4049130009087157,0.7024887172254295,1.3205923222209126,1.2201253502089624,0.40587509389196386,0.326428892924488,0.3205962270389628,0.28908886170455733,0.322918610456723,0.32754634134904964,0.25612722679811945,0.2706244721011715,0.2971473299822527,0.41396507256079046,0.5086849631960759,0.44115407882908436,0.5845314067835385,0.6612155378176264,0.646485055193253,0.4396813431753292,0.3676594443468431,0.3646903831323778,0.3398395245330687,0.28801431552873663,0.3246069618742126,0.3305905821026085,0.5377238922244802,0.3139923188247742,0.3724201835557388,0.5672227540634486,0.32367445532775607,0.3376082954389086,0.37314814040617683,0.40525488253909425,0.41184723877041185,0.43636070313914027,0.5802246246137677,1.126782713708576,0.6996776535510192,0.8737744708115193,0.8299300552912386,0.6684119500688911,0.6949823295207839,0.42523699225811484,0.412211301623013,0.4362077748304495,0.3504995592689239,0.34252775924194256,0.47300231351401845,0.36479137462012257,0.39875383532014774,0.37122587141781466,0.38120664331588133,0.4418482736915288,0.48848845105129834,0.4960999808671367,0.47082778748707826,0.5303785582327378,0.5202106362352783,0.5588020907265696,0.5677253927259474,0.6165544867110375,0.7052046078495502,0.64624688925938,0.6673133960995665,0.8004883369640154,0.606592478200734,0.5123024957959496,0.5556766867117864,0.5835819661032378,1.8557013539051346,0.9695222855336493,1.46289790959981,0.6356235727193988,0.5551281668523645,0.6125862331711349,0.6852399413706283,0.5148744323464204,0.4397627859652755,0.5751216259026982,0.6313507554734266,0.6867256026317853,0.4716581063613213,0.8195546743591166,0.5987444701399068,0.587813930316619,1.0171652251631516,0.4034144799950439,0.45791504944453415,0.5466999423455071,0.6200455191995078,0.7286259694726237,0.7389876998811123,0.7780347263457507,0.6231189227638356,0.5934010494167756,0.7786977245087949,0.6679850610552713,0.6098110622746474,0.7570937681543211,0.836929156180165,0.6440555669720682,0.6519719601512379,0.7759219349123578,0.7567539381085725,0.6558505551641725,0.6536357736681626,0.5969913724123246,0.5762390200840193,0.5460478233809469,0.5484872712854665,0.5371700900003579,0.47830076006872707,0.5360945591861949,0.4524958776260376,0.5029318316603156,0.4541015280226515,0.4727572499869282,0.621947918492112,0.6126998887111993,0.5413652904921327,0.6175370769149977,0.8051649205220839,0.7106364557466283,0.6457125013266835,0.830755643074414,1.1896725412085873,0.7456604369084223,0.7000566639889773,0.5997738876901424,0.5645982149444836,0.87703197854249,0.6868346924721325,0.6694558297588503,0.6296452363166296,0.48743931134388485,0.43190730411480543,0.3356710179327709,0.43721122914777766,0.42275027589958947,0.40207121152056446,0.5947919536687277,1.3243857607790803,0.5239891718651056,0.5812267098791221,0.787324387138088,0.9611555188520755,0.5174673791988487,0.7226603012478255,1.161928194678779,2.9363339583319457,3.4187916741719264,3.8777503979361136],[0.35954333495338275,0.35585200375711346,0.3601079328643713,0.5723808148061645,0.354311746739984,0.25846390316678247,0.24531617812192205,0.27569806359516486,0.3044023825168555,0.26013274146748466,0.26662450016195033,0.40268625122858526,0.28515474211270064,0.27548927754448393,0.33061099501659524,0.30348784272812807,0.3439449467137873,0.3265635861877633,0.39404382651414194,0.3550898722708468,0.37836928416386983,0.38569521120581973,0.7247125516867782,0.6504199942903153,0.8571896530553773,0.5460384576001895,0.37296737614128755,0.32676742186172536,0.34745039212047396,0.31581825301525784,0.335724705223703,0.334840761990386,0.35698074756723946,0.3712610003190164,0.3496063750993927,0.33070758329308986,0.35911961063051223,0.3504686976444186,0.3403673869333686,0.3995979913318493,0.6675980472267969,0.43229563821618233,0.40431162994751224,0.5843004215968748,0.8465800000317504,1.7083281962743784,1.6721298766761366,0.9277455268185288,1.2340793549539197,1.5979115817821319,1.1427680272206695,1.0422309911706895,0.8916255286893002,0.6920276834616971,1.2113373788743802,0.538305257879268,0.5500766953947815,0.6290267780937592,0.7478684063188699,0.7518904809035768,0.5574119411943973,0.5785799995384716,0.4506641676520929,0.5301365785690776,0.41204489877475764,0.43674738453191153,0.5708854481980649,0.4273998015005873,0.5413533864883932,0.560434681097446,0.743618411041463,0.9526897366200379,0.6983258583773947,0.7038952498823439,0.5049908260781242,0.7822372615008404,0.43283447205496445,0.38936842814037925,0.4011564122898573,0.44331354106568616,0.46426809818243353,0.5652368469330066,0.6837356891194017,0.4281507217198682,0.6188695900590742,0.4045356184978521,0.3899313369343788,0.5017345316242408,0.3509285413664322,0.4630695864347444,0.3705175000903191,0.6481630066607381,0.4396290529199174,0.3166149301019389,0.3128013267468315,0.39416431423583026,0.4238288028681489,0.4144744774589509,0.37753058362828934,0.5978894499060732,0.37446439028492945,0.5823635281961821,0.3706659457450794,0.42995328653680387,0.4956583311092741,0.5043655633919167,0.6771439161535245,0.45159376411571095,0.4522126771549416,0.6992374629392981,0.4242373271384059,0.36066301684104524,0.28660138420986403,0.3195668858642394,0.2817345714743103,0.3134936664592059,0.36178039616659297,0.3694723931867129,0.4106033238991395,0.3572591916843417,0.36379374121826036,0.3240062040934221,0.3247961407757787,0.2835357905142014,0.27372511952137835,0.3613303506413489,0.4603069464211327,0.4056237768764206,0.41900649728967915,0.43671729399331694,0.4330732192337912,0.4654056748157894,0.44878274040131566,0.4905842607769522,0.4900000610202175,0.532691813881386,0.639741198376936,0.4661824768642366,0.42887509672519547,0.3866218605963595,0.5046778789775028,0.5437700737559777,0.40656710080632685,0.3421228700289503,0.35006785123828055,0.3314266043423402,0.3096736631657368,0.3222447395782257,0.28471840766001894,0.34641016524451135,0.41828077575747213,0.40466459068537597,0.749181713330745,1.3351305020446669,1.1395775996861925,0.4178187126455941,0.34774248765528804,0.3503762923680008,0.3179357538826842,0.35257154951877584,0.36280813771243675,0.3269467772348489,0.33718099195887896,0.3659693842351606,0.4586258439164222,0.5786621000049584,0.5051390408822863,0.6722294033368188,0.7186265982021592,0.7066013103563835,0.5087471446226828,0.4449018674495374,0.47144113659539716,0.43326797796436456,0.36713666343010376,0.3860772065940745,0.3791582663510772,0.5515692252684016,0.3781087123198489,0.4303764842399355,0.5999315032930074,0.3971471452849232,0.4346160034267481,0.4979802163831066,0.4921721702596894,0.48796083225918996,0.46510427407374405,0.6139080280115634,1.1627183051487664,0.7887925475989283,0.9481988161937781,0.8300785905434305,0.70180715271691,0.6848166461010212,0.48540625293552797,0.5230963943795651,0.5403562906198556,0.43836280113915443,0.4289719362040141,0.5117513539291284,0.37153026058636524,0.367752554392074,0.36442945875681476,0.38805918194884326,0.4039178577360614,0.4428012637500545,0.4829869877020902,0.4657828032517202,0.49682871775351434,0.4946539299748101,0.5449976907815968,0.5505867836759532,0.5889928760935923,0.6698214205012245,0.6480668982454446,0.6849956588889528,0.818594971031277,0.6335575284788382,0.5242148358578661,0.5647498391435507,0.6313628381563132,1.7594632669566268,0.9820219486134554,1.386924515394286,0.5903577178438437,0.5060830182400825,0.5837420811440591,0.6176596449112576,0.5393201966610688,0.4332168788815556,0.5468604810001763,0.6190458838239172,0.7457167065417719,0.5095204583875086,0.7946119924183306,0.7356653160585528,0.6688714768719384,1.1158322250484276,0.5093540121020507,0.4945375348942516,0.4993633466259876,0.5497527599129205,0.6778442618072668,0.6952507931114204,0.7174616924174441,0.5881616422513991,0.5226659526103239,0.698357636702935,0.6163000184006822,0.5341862827382575,0.6819842412415213,0.7903326566023636,0.6086083367577552,0.5965882039003971,0.7307817483419438,0.7616253681551507,0.6203580717852205,0.6145913200535531,0.5595066746730767,0.5229663058698122,0.47606725079296136,0.4699276263670634,0.49940678202812994,0.4461998499335897,0.4919314873435979,0.4495307481830241,0.5107375002497005,0.46161948677532627,0.5231473411904274,0.6909846317689157,0.6535734281522694,0.5930857934172724,0.6438862175339748,0.870366999375436,0.7620033151690843,0.6895733557039738,0.8439093703464631,1.1663920324056045,0.8221099024415006,0.7347876846133021,0.6078483560980451,0.542989531899215,0.8757842817373608,0.732907524372343,0.7534675319025701,0.6912382420458566,0.5889973150524452,0.4740024047410334,0.3965391703747388,0.5049057858863716,0.4192248170103084,0.4060665808526052,0.5167271597025238,1.2042366536804672,0.5272098546613985,0.4941594591408849,0.5950132509323948,0.8726375393060279,0.3947065204692836,0.6324995615587362,0.7133272932660011,2.1440871776823966,2.293898500854929,2.1677678867983556],[0.395361077078033,0.47261973573354416,0.5736196262475477,0.5801991198924615,0.525947565777474,0.34008032595912313,0.2197804461081382,0.2426975491964002,0.31349896650796694,0.2650356971109138,0.27440287577850464,0.3607843482520169,0.29068684553947366,0.3102690564684653,0.37163075948794305,0.312735746315046,0.35848678233369197,0.35088625401047224,0.4617360275780911,0.3992550730710475,0.4172964381820597,0.4242619426712895,0.8075910291047368,0.7377337103839777,0.9786460949018458,0.6364735088419197,0.4027060333083915,0.3847721883664443,0.37533280535161695,0.3229043525161908,0.3561905615716017,0.33851126687930677,0.3774199594941465,0.3914901456429042,0.36731384900638564,0.35305749608671844,0.3910803617973011,0.3987099570602184,0.33827082251101037,0.4013305656529917,0.5826699800360657,0.46443099377019836,0.45798913477062886,0.7200502608528754,0.9132407952539321,1.693887518536158,1.79614095629145,0.9607909568042059,1.1742438405389626,1.7003192069483828,1.2266686770778745,1.2558540243123233,0.99275534962265,0.8067220017989423,1.1672682504327188,0.5951802902750792,0.6646301059593075,0.6899405829245406,0.7517470086020897,0.8993387227777828,0.6282624277619437,0.6329222600178421,0.47049684880090137,0.5498036751696159,0.4670165491498868,0.459582902223481,0.5691664879886753,0.43229938232804704,0.5712380823175982,0.5675835239600928,0.7032418611099811,0.8855699962323514,0.6397921008186054,0.7134559366971829,0.4930549102498186,0.7900340620731462,0.4680370625665059,0.4063181410874475,0.42471775182683247,0.5064191075174596,0.43695443919566024,0.5946660862147028,0.623097560175002,0.5410308330820841,0.7045218352561664,0.42182076654425354,0.3778239458710516,0.5260429210969744,0.37247724229574775,0.44007539999131656,0.38803511530556234,0.707929713731751,0.4915819732882993,0.3522481970386918,0.3408463358824625,0.4305745649849272,0.4818595288689948,0.41000845516169737,0.3821982588392521,0.5855346550825192,0.3857059512897146,0.5499962648741583,0.3644995126784337,0.38118687266848056,0.45075980841626984,0.4700185229076473,0.5455924509178242,0.48747201074007424,0.4493579421920376,0.637814072661741,0.41216208409507527,0.3424975414438853,0.29452894663784956,0.3146874328407574,0.31555620749595314,0.3684289923733108,0.4432918269007551,0.41582435831461956,0.5144177883738199,0.401682312970607,0.44173965051289416,0.3844387367192527,0.39492023913550645,0.31945730496266567,0.26889216077725336,0.34718440911144083,0.4461789160415449,0.39541437253002537,0.40989745295601726,0.429187684655001,0.46692381380440795,0.48083054222374183,0.4757864901932903,0.4507836380342498,0.48487066694174824,0.5799381472584767,0.5878909819955878,0.4793447718457739,0.38222189194494244,0.3705033472673665,0.506857808717809,0.6168360536025957,0.4181924042425775,0.35702853443546084,0.3626516023789883,0.34575956692281207,0.3306234691852883,0.3505330748431871,0.30347532069565386,0.30589597656248396,0.33522449698204776,0.3499450327252291,0.6038200838184832,1.2688717643594065,1.169961194330739,0.3866924320669729,0.35538272994264347,0.3145500642375648,0.3266397899526796,0.3503486195709227,0.4034421209414013,0.3481610106601279,0.40663235945420495,0.4156516030305352,0.4720654494536117,0.6294538820918232,0.5513007655607919,0.7353230344075823,0.7521862929694405,0.7132579962910475,0.518399424379987,0.4708843400756539,0.4839430539973863,0.44862290147359224,0.3957623397504532,0.37954846900888417,0.3881046252986957,0.48486184012961986,0.39871817283620903,0.38500398385826806,0.6475001552141896,0.39481239866089524,0.44492914281088236,0.5207666739310909,0.5104296980554981,0.512604186287032,0.5185077625064176,0.6903659680822604,1.2527664354699166,0.8860505178236796,1.0759490305339747,0.9679842770095356,0.8016788789124935,0.789807201762116,0.5906040947731207,0.6318493546528602,0.6093370595591713,0.535218483343283,0.4801640167455777,0.6062301964605122,0.4663261060034808,0.44488088166591294,0.45483928982149696,0.48327603992736035,0.4989360372945735,0.5432830069271439,0.5809778107463694,0.5769532105044956,0.589687251041007,0.621474394041102,0.6767656605256418,0.683492406397352,0.6985283120667457,0.7781630194690615,0.8218594815697927,0.8577666638314922,0.9366613297490259,0.7512487948397428,0.6336627188481934,0.6771977701329468,0.7201481646474783,1.6047554618214706,1.0443509421840014,1.3653606001831795,0.6668434792677762,0.5613699705219652,0.6068773699184448,0.6255102437980022,0.5984186896834718,0.5272032505902663,0.629577717565875,0.726786372978736,0.7843269538890886,0.577706191704371,0.8543823193800829,0.8522044905556166,0.7365425808911509,1.166538209039429,0.5234237085443433,0.5784665466314295,0.5615054916461297,0.6039083979853632,0.6847403362777903,0.7126967420991605,0.743687934910869,0.6065353163813182,0.5983902651761577,0.6860393166814283,0.6676115956489584,0.6021757805319561,0.709295766623806,0.8065877865903577,0.6791446124679085,0.6663666373158813,0.7679469480831697,0.8250487961624433,0.7057708981187234,0.6919369864936504,0.6472872507611762,0.6061494084998963,0.5649383275942566,0.560629034138007,0.5856711884432967,0.5448212038807144,0.5708909865760586,0.5380756070158356,0.5947245661829872,0.5374658862573319,0.606170534664562,0.795074486033918,0.7278202415783517,0.6725726984106539,0.7584016824692291,0.9788149101959946,0.8601840553366938,0.7430340171219237,1.028383072561289,1.2860136240194042,0.8983819467252889,0.824587006019952,0.7022001724126821,0.6926040142929638,0.9284857730446038,0.722837660015503,0.756804557731315,0.6627418764604347,0.5909556452412257,0.503008867226569,0.45310107745294004,0.4736121716353637,0.5199851286480563,0.4850664938444118,0.556273306723931,1.0672097318662392,0.6464949514119637,0.6011606506861734,0.6226662881630919,0.9449520931180695,0.4518090218397671,0.6306875605864534,0.6535013850188434,1.9187330334937032,1.9687623610183944,2.0484618078795553],[0.41233419302952395,0.49191386941911514,0.5596723553646692,0.5357476975864585,0.5171040144156509,0.37236593762180753,0.27008929650057745,0.2728970166793626,0.33375590630632535,0.2992436615405105,0.321469142418385,0.4009684090096914,0.3094064272133331,0.3365108523979034,0.3861430602126051,0.3313644318139693,0.4142713672056242,0.38273086519410704,0.5005200006284929,0.43632598345752555,0.463579279119083,0.4369670059522062,0.8215160128933712,0.7864495801062835,1.0150448822826148,0.6993866298774681,0.4615181004313217,0.39990689985763034,0.3825266511308174,0.3556517717903609,0.3673915948437001,0.36480852380792345,0.3925336562691746,0.40000752061540285,0.3751473746286008,0.36948938960469563,0.3755513906349444,0.3939888952806474,0.34266565593934534,0.380419986353546,0.5830184449062582,0.5184633308939663,0.49734705423727615,0.7617347490287706,0.9267607833667131,1.6917932908459954,1.8037096893207827,0.9888754153125261,1.2132154415603122,1.768075299747613,1.2691168248403752,1.2495355001280164,1.016263915544542,0.8238912200312843,1.1923320018962384,0.6025410511954523,0.6742074872003624,0.6922281288279137,0.749788687538443,0.8942392551392547,0.6384533871742581,0.6596588316123658,0.5067399086193493,0.5945768890757152,0.49968671669900677,0.485147606070709,0.6582608133829759,0.4738095313693707,0.6024875310595535,0.6101240483187957,0.7805755327141373,0.9504979147861831,0.7148273437879643,0.7491210322749232,0.5437243955260376,0.8469348799484908,0.48998961491658083,0.42187703667328424,0.4192084500864114,0.4979778136490541,0.44990553501591674,0.5847476886649504,0.6305385210540754,0.5183137397563415,0.6992608190284934,0.42761396505600363,0.38319933526393535,0.5338488618190156,0.38653779181204195,0.4802805965149506,0.4077689465688132,0.6778836774789572,0.47738444894663096,0.3696951660059809,0.3667131716023425,0.45514973865392083,0.4846519054663352,0.44367636825432016,0.404856268645569,0.6271971474115917,0.3949779458460904,0.5319605086550411,0.34610846852909916,0.3699565314600603,0.46034093609841253,0.4764288873053413,0.619786996911802,0.4889222716422089,0.4782410093941878,0.7006059062657545,0.441927586521533,0.34767745743177225,0.2912872488941243,0.32079200143419717,0.335765158306882,0.39194454385727934,0.44393788959298885,0.4482934982152232,0.5558863755643417,0.44474816255869104,0.4753765169226586,0.408974943771065,0.4489403391676185,0.34626774128138427,0.283739709496599,0.37310016931383466,0.4826135801829387,0.39545717867958863,0.4208464923089661,0.4283676596097962,0.4890639724680787,0.5069573075178015,0.4838764654243245,0.4567995275145382,0.48890158298426745,0.5673680124160112,0.6168892314110703,0.4737318074415424,0.41186639805339337,0.3953168052740249,0.5354534221155209,0.6580512531075657,0.44370393278152415,0.3721808999296247,0.3918957182147557,0.36215898962056153,0.3398620500387669,0.3595512635666625,0.28208019915740146,0.31714662793652504,0.36748050772842655,0.37709820122812093,0.6910743167900336,1.377903022653663,1.2214228902795734,0.4181022744170721,0.358311146891294,0.3096128475973137,0.3293609162774498,0.3236684679391641,0.3881422395193814,0.3514287307129286,0.4034056958743432,0.41210332683170464,0.4715552923855167,0.6329224077131007,0.5534709755359306,0.75607287072932,0.7829537339017448,0.7352220772098316,0.5280391966541769,0.4648476901919548,0.48421591977650275,0.4461124384676927,0.390712272154293,0.37205392225144324,0.3876359405436848,0.49522157178327736,0.39017790425758386,0.38858431880361033,0.6142440488344741,0.3856698244400343,0.43793843877494715,0.5172147261828826,0.50693336161842,0.5124796445625059,0.48584940822378125,0.6665000631916731,1.238413099888761,0.885252131421499,1.06364738267728,0.9374513250952443,0.7861389215277319,0.7625354478437292,0.5909136812774596,0.6863989799904564,0.6606782102541189,0.5814180815174238,0.5346439931064909,0.6258051173226628,0.5146877401987359,0.486263632513312,0.49513799027838173,0.5319970200661958,0.5486516696057794,0.5773394840427717,0.6086120132311302,0.6160019411763312,0.6305330226216527,0.6433872920778188,0.6943489868570313,0.7130030785478532,0.7308290539700945,0.7833769219875962,0.8400534615376426,0.8653767016928808,1.0067733295707255,0.79354315261741,0.677622684752025,0.7102805949232505,0.7922774055170725,1.6132783964956998,1.1421047279547534,1.4005673423449332,0.680099480207121,0.5782942094585108,0.6397680261388494,0.6440950106235173,0.6483518121028155,0.5650223806807279,0.6762149190269034,0.7653497198262699,0.8712183258319003,0.6539062457814141,0.8735775553478884,0.9477229203015018,0.78948343100449,1.15545290386864,0.5924448166083918,0.6012035007774216,0.5883105222746189,0.6403957923481188,0.7406334018805253,0.7322511500770609,0.7597730325975497,0.660084398622141,0.6292924504961497,0.7297607980270066,0.6921066600568272,0.6445617685741363,0.7590816639501486,0.8582282133274617,0.7342165902582461,0.723958580479641,0.8322564070558921,0.8839825956554765,0.7483958194179784,0.7488469174832016,0.6913452942783407,0.6536901568848554,0.614337462018607,0.6034149289428948,0.6447055620476498,0.5996145261084364,0.6252792558914066,0.5984735742414385,0.6415045721040826,0.5970054351116288,0.6746886646158713,0.8456135649914502,0.7645887991465012,0.7481329067923245,0.8021942972238327,1.0437365923314628,0.9003948897555114,0.7836153487447821,0.9824152719261288,1.2104193461984636,0.9298733343159292,0.8331582519035368,0.7201256078912928,0.6865207535918446,0.8686032951620505,0.7533226140420161,0.8201279067745174,0.7339743962825757,0.6685290447390231,0.5624237409264813,0.5036969958664603,0.524183613351151,0.5685628008930276,0.5238197846961143,0.5964993865217917,1.1601585779311219,0.6556737692039072,0.6049072697415426,0.6288764584821384,0.915035385283528,0.4861382152764496,0.6236297415422751,0.5954601741005168,1.6500837347315205,1.6404440235295847,1.5544463367660928],[0.3907296013487507,0.4294559439526604,0.5166372036514639,0.4305897024149757,0.4809043426962362,0.367250327560592,0.23398956042119345,0.24895531939546667,0.33955492028524575,0.24087745842467473,0.2780846415185965,0.388720884131936,0.24758984985417093,0.2732010784042199,0.3489275553592937,0.2808466868951508,0.35273746358486535,0.33789229951823657,0.48560178366984474,0.41011288594824125,0.4458938137553146,0.42451499653876934,0.8313742275760592,0.8085717213555103,1.0612905047172445,0.7032604709332957,0.4674010681709552,0.3889877644137522,0.35613937031008674,0.30277355121763955,0.33332859750156013,0.32394823138783924,0.37054986639924875,0.3718323248764571,0.3373244381685208,0.3327010781212348,0.3589544947123674,0.40605015748046475,0.3494844586035612,0.3922333612748819,0.5628454720824312,0.5231270224017288,0.5266932943056506,0.8142692562946859,0.9481021530239707,1.6880888932168756,1.8951664900588328,1.03521599890844,1.2383612543127756,1.8631490941161604,1.346909829227678,1.3847286640726573,1.1112109968770594,0.9030344241369918,1.2134444686626464,0.6749198401097701,0.7415352798271322,0.7302184038884886,0.7723106526334931,0.9702864296205228,0.6728803808298278,0.6324443857284539,0.47390650356315484,0.5699920345766742,0.48273213553873734,0.4814513908272619,0.6253747668857567,0.42999364179659594,0.584533734360472,0.5772363244138573,0.7238313680909437,0.9040446744152136,0.6595657102990441,0.7515529745731037,0.4846940688072165,0.8345797675795077,0.4542505435642115,0.37527799034133985,0.39379317290279164,0.4963704164000285,0.43784574001395804,0.6059685719995497,0.6345914387445597,0.578701195142365,0.7537402851630713,0.4412743815119947,0.3875460043481656,0.512178959625215,0.35881052951202685,0.42371277084973685,0.370193110580121,0.7091177505820925,0.4900503102624924,0.34454403820208657,0.3321810926981276,0.4575931941375901,0.4805568080507007,0.41928426265431684,0.3837806785215535,0.6229323590339335,0.3784899378951997,0.5636455078227042,0.3409978957294905,0.3840836279897498,0.46780001354601414,0.48680516361133713,0.610720375215234,0.5256143304901086,0.48804230200831045,0.6572191229392865,0.43412997318633917,0.3514296409161629,0.2641033855774522,0.3028272498654461,0.2786549835283458,0.3829962396286981,0.4119499579812668,0.44841149891485194,0.5605955099522318,0.39361349938305157,0.453636868679732,0.36408967219947874,0.4151834937014695,0.2962856908766916,0.22843991141734302,0.3667421060365639,0.47257283166866887,0.42859821405217685,0.46015955823545673,0.4618870552033012,0.5669001278289204,0.5844721686907668,0.587993762452459,0.496538681637283,0.5704122221353611,0.6318435259845083,0.6634518194373276,0.5675572018534971,0.46253948607972895,0.43182897339646725,0.5718190832887804,0.719839797522706,0.4772775528039065,0.3976560091410654,0.4159819028458818,0.3525910998259383,0.3383188146417812,0.3182205937451016,0.268460036724442,0.2879443400903984,0.35428019235843644,0.37292591395553043,0.6837098315156038,1.3826449918611832,1.228264628265655,0.41275404484192457,0.34870441517149525,0.31029431151418596,0.29746735162713905,0.32415322161669724,0.408045466844654,0.35644237498396625,0.44463994645558697,0.4624550152945928,0.5452399134093766,0.6980046223255474,0.6545701383961718,0.8605854389591414,0.8620414953323395,0.8102333916171739,0.623283905235233,0.5597544792901897,0.5590530615904804,0.4952959771431757,0.41825126147678693,0.38349898802938276,0.3717325340147625,0.465156913823077,0.40940654815031036,0.39856104086506733,0.6392700027614168,0.43360527060625925,0.5145404400051522,0.6303932590175414,0.6044265368979356,0.5971227953623925,0.5287623024308278,0.7349798405812127,1.2794512980348436,0.9890417194434901,1.1731648718989578,1.0351448400828829,0.8733407291055386,0.8319304576290679,0.6976322496019375,0.8366244290745433,0.759869464151127,0.6941027215003654,0.6337582207041929,0.672105766563137,0.548735159708367,0.4634100682914337,0.4881155790835759,0.5411950156162494,0.5177104863793252,0.5314181951170402,0.5724505111364248,0.5901232177807817,0.5864571283003511,0.6034617345590126,0.6621414421553483,0.6988664638177059,0.71620058417915,0.7462043538374064,0.8502810080310257,0.861633514101349,0.9892264765554699,0.8073914532908197,0.684103092765809,0.7266059983097811,0.8288587035021454,1.4794917666778176,1.1134254712382734,1.34301147310601,0.7147385935657887,0.598584499562045,0.6356152149715881,0.6482984762183105,0.7339501266761956,0.6207069572619072,0.7155310667736758,0.8492941991951362,0.9616113039218371,0.7499319064070997,0.935630120858824,1.0768871996359872,0.8829462421747807,1.2544492156467242,0.6814070552952524,0.6818271642854253,0.623109639402379,0.6258080374229215,0.6837569145132788,0.7139429508240666,0.6982511558875388,0.6114547897423164,0.5800765126357946,0.6684993305461557,0.6484669849925663,0.5774277284652238,0.6961005377092465,0.8089517101473809,0.6898481123176018,0.6800853047264626,0.8046604674757202,0.8832388969086317,0.7261272832328872,0.7303170241406903,0.6643409037662762,0.6212452219617407,0.5655841281958905,0.5666822549621827,0.6305552521239017,0.5715378946783158,0.6028208977871735,0.6212064456588104,0.6701485550300876,0.6166832864295746,0.7441594552358258,0.8971277636440927,0.8045652363081461,0.8089752239077105,0.8696349294383717,1.0988080706685506,0.9643484007001676,0.8550998617359221,1.0937532517636797,1.268515684084796,1.0115502259741869,0.8554472873615339,0.7057338451348014,0.6795412852896203,0.7931259942805926,0.774403503225716,0.9051085810068815,0.8124171401992923,0.7196064694787985,0.5981741148790588,0.553347519094919,0.5305882663019531,0.5465771612109442,0.4944532129725331,0.5386223832325017,1.0705163942996487,0.6344547161806943,0.5542487289343289,0.5690214488106364,0.8816954959192861,0.4320523642902342,0.5965024353875928,0.5821239984580708,1.3312694790300539,1.347295319372485,1.693575055434706],[0.39255136714322925,0.4287619667505756,0.5198844169642708,0.470758761440212,0.4885679968391643,0.4050583487116279,0.33021120459934467,0.3416157911024635,0.36644533976878685,0.3036945072810526,0.3168588225222971,0.40465186397308667,0.3132845872487818,0.3219388973166334,0.37845306805427703,0.31584838277224,0.3985480481608195,0.3620882156019885,0.5225158639423224,0.443012731641579,0.48377375893057784,0.4849186276521748,0.7727117374969938,0.8232048173590077,1.0384887265786638,0.7143795857771673,0.4800509401779503,0.406938560199221,0.3824335213431346,0.35442226319043524,0.36711222272531596,0.359759006556409,0.4042978111775998,0.38396397640187213,0.3601660435354537,0.3661383112522154,0.3989227679321018,0.42984660434183,0.3882938059249935,0.42604893391495186,0.5715951984653903,0.5486055996750361,0.5566072317828705,0.8625614255119084,0.9885392640167927,1.6826599822756203,1.9267145475260194,1.0799868838899913,1.2753864727268045,1.893229811293236,1.3728573408031273,1.4070977129935038,1.0968298780211247,0.8979539168340877,1.206529481327961,0.6849293404499213,0.7608815170958031,0.7243868837393165,0.7719190667545491,1.0212948800151174,0.7140788279529162,0.6606501371430942,0.5165427639688912,0.5943340304320508,0.523098910236511,0.534561752508569,0.6781676828056383,0.456398368604221,0.6028885221876921,0.621335914081121,0.7309247949826703,0.9247259603621631,0.7158484030623875,0.7873989994864252,0.5258944285275384,0.9100744439656725,0.4621519096692511,0.4104705031801051,0.4257556178563682,0.5180029202883878,0.45931284970305736,0.6055196616848265,0.6897192202381086,0.5631919093844435,0.7555667012504597,0.4553430107489073,0.40615844997749384,0.5460177911036066,0.38796534621347545,0.4498110725014538,0.3870042341718284,0.7339315075751187,0.5142140441823442,0.3747946501214337,0.36122315940647587,0.4622968382704597,0.48247422269063167,0.4310180405688049,0.41787299234637637,0.6981106227056851,0.431495765389927,0.6258662889290002,0.4131619037576865,0.44063695643687456,0.5003117577319893,0.5289639138183242,0.6695618659718866,0.5424528422171291,0.5178942013071907,0.706799494450519,0.486100386303989,0.4087987128857067,0.3518717737772406,0.34397222467707006,0.354036940569574,0.41188183978049225,0.43732115777162,0.45912519378655486,0.5900271271593195,0.4454080323220118,0.48345035219954535,0.41689209556573126,0.4624584511266311,0.3595163859015472,0.31701124244464557,0.39216592697960734,0.4828657152742267,0.456358856247258,0.4837232371568123,0.4813765486135783,0.5704602380834238,0.592460297449309,0.5836136563262548,0.5030728419684167,0.5655372497182195,0.6155942613074646,0.669150944217642,0.5597028251872314,0.45282481704245425,0.44187022199403425,0.5908985244270332,0.7518629458920811,0.5011538339202473,0.420534310436543,0.42626409671619647,0.38525263937385246,0.3694371651773459,0.3810249369009469,0.34316252489104976,0.37457337281353986,0.42907158319169825,0.45129420897605943,0.7769100851467445,1.4780830911174518,1.2843768680642607,0.4866738481932089,0.42425223618723656,0.39032350192486676,0.3683932216937218,0.4005767071848973,0.42299200039845725,0.3898938515326854,0.4574118088434602,0.4713667827892297,0.5476603294977642,0.7010964841175166,0.656141765307341,0.8759237323327703,0.8673917137456462,0.8106122559488894,0.620189323923996,0.5495072104343267,0.5398408611262828,0.4849650161381051,0.4178373883994058,0.40781967598808055,0.40088276881221396,0.5088530863987231,0.41672771412088805,0.42348829602904725,0.6809689850059992,0.4586939226227878,0.5191279154546096,0.6200842912042859,0.5987899509365708,0.5937906160578478,0.55765200965983,0.748689889058246,1.3069330460992836,0.9999344401790381,1.1991372628569517,1.0434573188332208,0.8812033898428029,0.8381275504448984,0.6991831679406417,0.8390023185242611,0.7548640622997685,0.698691860157298,0.6505650473598862,0.6790200730397354,0.5778309835989771,0.512404445603801,0.5245894409434936,0.5844355292538076,0.5727584043489482,0.5767839164905274,0.6155372672587275,0.6387767924631172,0.6485146547252828,0.643016120534858,0.7025212424938333,0.7530812650100209,0.7610624858441167,0.7593430210012545,0.8981946219500113,0.8960740609817633,1.0828850881634744,0.875638639425258,0.7544334877560291,0.7991124450605221,0.9430480606260053,1.517201305740317,1.1897224645442492,1.3744603713782708,0.7724635775700608,0.6593491598255261,0.6772280391774487,0.690993233978568,0.806332888791024,0.6738741514115183,0.7616556156212706,0.885363075396677,1.0160316911592258,0.7853117122882725,0.9341967836846854,1.1473427988122549,0.9206213829840675,1.2587326306274542,0.7157596505651577,0.6902738257930322,0.6375463987061651,0.6525988276595478,0.710963550305605,0.7596580573769353,0.712632506315103,0.646009025244577,0.633003424490714,0.7240076668222066,0.6773419755364569,0.62116115356924,0.7417275148109892,0.8514119698507101,0.7336042512226647,0.7503415223749657,0.8825230113666208,0.9588325684186237,0.7903635808720746,0.8168126236967508,0.7416405162671349,0.706403399636489,0.6297606630263967,0.6342514490756285,0.72652371373023,0.6470441950388663,0.6617713414913441,0.6966511411532179,0.7382271005698653,0.6617769346786376,0.8024403491741705,0.9636965696117288,0.8451413490674364,0.8558568162459763,0.9119966316958132,1.1486082994069982,0.9889205672380545,0.8975335940437439,1.113711430061619,1.256568014104293,1.104166142237383,0.901407122956037,0.7452937458134936,0.7070238464174451,0.8004589492054469,0.8277745419782829,0.9691890202015154,0.8360901841005457,0.7633570499137272,0.6121889296045897,0.5720788277567386,0.5609369417989816,0.5668620707057608,0.5380777964348676,0.5737867899410576,1.107122626867273,0.6497218785317046,0.5513922426780089,0.5978450826402194,0.8729990129576345,0.457784792189222,0.6593913819661544,0.744105327326458,1.2775293673228716,1.375494270518383,1.8719980059023356],[0.4198075323375296,0.45500444243298127,0.5877360139373993,0.5281103889848185,0.5598175238402068,0.4621046147604704,0.4145867970273455,0.3756668288512882,0.3630757346056431,0.32379430530237213,0.3178868389984104,0.4244839167224657,0.36820814726685736,0.3512034971816102,0.3990054140254612,0.37192194342494334,0.47620175676771836,0.4435532320780196,0.5798621003600016,0.5231962250038327,0.5054220593351835,0.45514177050672633,0.9668693061369507,0.9024450967657677,1.1773617694983411,0.7991297984809869,0.5879067843231925,0.524119347733405,0.490744678224253,0.45938856355007157,0.41210038671395566,0.446629159599131,0.45015829436515303,0.47703357426436954,0.48568531231388035,0.47087750276507795,0.5271240089239332,0.5311736664681813,0.4831058460527955,0.48702201914545545,0.6316800789766153,0.6337813740278396,0.6605598182264364,0.9460656228101948,1.0367379899929705,1.7370672249511827,1.9802222216505185,1.1519722585705128,1.3042649607121408,1.9664651164669307,1.4858815567257513,1.5686902485646743,1.302798575494471,1.0743820350908286,1.358617335755995,0.848111140530104,0.8852496275775146,0.8740398938850432,0.9061329497566513,1.0295084852220728,0.745823659654616,0.7199292859603984,0.5639388693137657,0.6060928054579289,0.5518402584746347,0.551560678383078,0.6314612563453926,0.5229434476993393,0.6146661329275181,0.6298824659101891,0.7370213639184404,0.9079229800137819,0.7031316565803711,0.7769163190898035,0.5279215295810606,0.8809212878983795,0.5799920697318215,0.5065094939755267,0.5280632346959883,0.5956793778179996,0.5894827328523444,0.706629671825271,0.7305888407165805,0.7922739570060774,0.9105671043078862,0.6185542168986525,0.5243465138159319,0.6562418399304814,0.5039614720962938,0.5406912010224678,0.47487084667852464,0.7077145992560058,0.49545877693687485,0.38630600351652594,0.3743728978432509,0.44178841425747745,0.46574060967905473,0.46742876614675277,0.46943967567291806,0.7670202353448332,0.5145041077678131,0.7024781891171687,0.5390274196941724,0.5927325532655882,0.663041250848665,0.6555136610164413,0.8079624127967061,0.7529869160459004,0.7079477160419476,0.7357712379592303,0.613692817882895,0.5607811010624683,0.486825128837043,0.5029889927833139,0.44401958493855204,0.5284626994626135,0.5487190727868642,0.5467377263314188,0.6223611263110284,0.4893309009816403,0.5222911022452423,0.4558478860616692,0.5051175281767485,0.4348788440390888,0.37738378632262093,0.5687042681586906,0.6592694746638724,0.6566646839774004,0.7052196132589958,0.7060996314669254,0.7998653036713441,0.8393514586685553,0.84122947695997,0.7540036287613969,0.8141535176431994,0.836886235603034,0.8246637319680384,0.7518419516851151,0.6159539588278334,0.5832212330300716,0.6691705587684667,0.8081949764674256,0.5664355099551678,0.5339199857550249,0.5696870725111591,0.49437976746836876,0.5001996320008877,0.4887148053054425,0.4791968230274974,0.45197968731942895,0.5329651474023878,0.4305150485496953,0.7102527855089698,1.3728743298936237,1.2727692210854948,0.5304544428314335,0.4947884793044342,0.47743782674969165,0.48621488922083944,0.5369396280942309,0.6060197751141183,0.5406836059486874,0.6137814203977348,0.6350758823574805,0.702554644492337,0.7696727872758374,0.7902159120322219,0.9525880676371726,0.9635759872964924,0.9123742347490311,0.7818712587810118,0.746468389477055,0.7873841663265457,0.7235971733020495,0.6457196954500808,0.6022964443775894,0.5644437383277038,0.6134410252485201,0.6164508698606466,0.623770222167887,0.6759598518308597,0.6701475159333907,0.7563852117836989,0.8670583802387278,0.8016665010388602,0.773850174910308,0.59013852112263,0.8071750017909018,1.271910473321161,1.0575379942359089,1.2198254487222937,1.0440189629886711,0.9463983170766036,0.8863785007136907,0.8293277472628039,1.055008442452697,0.9561128479736548,0.8982382308865038,0.8614297706368839,0.8341019672409826,0.7622907824300689,0.672407960314534,0.6825427914557266,0.7447333309220249,0.7085696140561846,0.6826441688614598,0.7625297161523784,0.7858432005430311,0.7429871978717704,0.736702446938468,0.8051425058013892,0.8515326295305091,0.8301168431642129,0.8437541478835151,0.9985730555643167,0.9831656230514398,1.1261231668065732,0.9784696517503688,0.8941257980332263,0.917709750580808,1.0728579479403961,1.5092321517044498,1.2391966835088626,1.23316710722983,0.8793494380072608,0.8076828882286583,0.8200065215699679,0.8836830163401415,1.002187960658522,0.8569883532180144,0.9112218088083436,1.0552350760011018,1.1731244195529669,0.9550585253390269,1.0800185867603884,1.3165582165495326,1.071994390213767,1.4129196211119448,0.9281180969892101,0.9171190384418769,0.8151917427760459,0.7839789382313418,0.8021974845033594,0.8780404204665472,0.7521590733541011,0.7580872530680957,0.7338005910135214,0.7413013197836942,0.725112221549798,0.6893191942129689,0.7699691530327307,0.842234894113087,0.7785163966996981,0.8026359899608261,0.8905869972782738,0.9893851886543455,0.8696913763267135,0.8989889118315417,0.8280602657820108,0.8154344301803401,0.7438388493208604,0.7661020101413729,0.8636561271425139,0.7813321494133664,0.7822601237488065,0.8439945173041568,0.8736102311028503,0.8024120298259577,0.9474630511559282,1.080519806010944,0.9486206264503221,0.9991740861495384,1.0330497962277014,1.2206559485388113,1.076765303256385,1.002057925226766,1.2008413664164475,1.3479179740708331,1.1669805946073009,0.9977261468041047,0.8661284831292727,0.8393879695223907,0.8983444002057275,0.9752448529458688,1.1297588351927197,0.9993091833576079,0.9505187217427093,0.7975762618250294,0.7751945973292379,0.7371923866614104,0.7038819840920536,0.6107786892793551,0.5927261409303307,0.9360945753480628,0.6365370233760056,0.5829607650787746,0.5210399451402273,0.7004377912489773,0.44200819902758826,0.6817146429132444,0.9669705407220638,0.9505912885675636,1.7520852201782515,2.962204186401327],[0.4155078416360586,0.440816569802632,0.5757113055498276,0.5068695935150483,0.5644241474532249,0.44412469123338816,0.3883256040093382,0.34768881800808343,0.34646406328647017,0.30951472344038217,0.30987402458134927,0.40049286526347017,0.3504474504955801,0.3632989271982295,0.41831625277790846,0.37058818460815784,0.47316377264686543,0.46015187843147254,0.6259276186267886,0.5710404623550877,0.5744626669338194,0.5283820796870231,0.9701640287670015,0.9630484318073995,1.2245403165512962,0.8531938185781935,0.6386491967886073,0.5610275408144545,0.4976226057751164,0.44989880199047094,0.42063154947953163,0.4291446173748808,0.4434004437987327,0.45753691656391354,0.4678899758564776,0.4736682017202892,0.5186926902682256,0.5710788063196265,0.5294757582047286,0.5386787478149846,0.6682795856723086,0.689278422924237,0.7413754281023246,1.0680792993909602,1.1010940695149167,1.7230381983550453,2.036086225390431,1.2437169112953712,1.3743504716166732,2.0405695049429062,1.560462225882168,1.653058507267892,1.355709403947344,1.1112852050671995,1.3701146674135662,0.9069281947584001,0.9553197222326483,0.9329583840708336,0.9540756008255808,1.0895210111796854,0.790636882095972,0.7277097028631067,0.5909708623269178,0.6628758357614188,0.6056189867013322,0.5976100104816047,0.6679240781081573,0.538925430337962,0.6499923971922231,0.6507507219139536,0.7248679000414309,0.9023282353866375,0.7151196011673775,0.8080035472354721,0.5461551372654727,0.9200065490275744,0.5752695995125324,0.4972107342519241,0.5278025607179354,0.6179856581158102,0.5753890756882651,0.7051014049067524,0.7453061280346686,0.8260192199359767,0.9449699249224096,0.6235902995457389,0.5384867684939116,0.6322884240847473,0.5121271717518115,0.5248142775443777,0.46318405982804095,0.7605627899325486,0.5321285604454447,0.4002407949851393,0.38118854671756014,0.4591821914103016,0.4821058676290532,0.44890501887172224,0.4351872856696234,0.7316365645043577,0.483711745642597,0.6642216543014718,0.5035405984361875,0.5644124382233008,0.6593623040216124,0.6588397155303913,0.8096624464798268,0.774080270288468,0.7229592943256902,0.7390432762106728,0.6068149137844502,0.5564490413456618,0.46551146899095275,0.5051007500844772,0.4357275983764839,0.5555743081776877,0.581925440540479,0.6072970512923195,0.7019373966406285,0.5293724107636849,0.5787987258344804,0.49519745123659065,0.560526133457794,0.4600735511592118,0.3794012921821652,0.5690625461123182,0.6536055192900805,0.6596040659250286,0.716221129850721,0.7202347077474966,0.8428854630666546,0.8833186694585587,0.899541487519239,0.7850730084815802,0.8550490807899753,0.8553069827317871,0.86950587503391,0.7958270862147935,0.6722938756402266,0.6338058301901075,0.7468453835354133,0.9166980435676378,0.6368530822699576,0.5902767276154544,0.6102656726052728,0.5131107478329138,0.5178654684584817,0.4825372711561976,0.46738260246242314,0.43409406308818876,0.4950343105027145,0.41616729749435244,0.7255520385522792,1.4106492537776354,1.2646555087203286,0.4957730301955304,0.4544966459595077,0.43880884003786097,0.45399693232023186,0.5301122622049281,0.6197539577522152,0.5473160980664583,0.6475319248736905,0.6702455064598566,0.7521595652808083,0.831069419231203,0.873716760985572,1.0569507060232797,1.0485278348949976,0.9861167397143178,0.8556215109691085,0.7990394024786833,0.8175849819922711,0.742995360029679,0.6573920301072579,0.5997301965172739,0.5537450806508393,0.6027821121365913,0.6268401005303765,0.6210637633188023,0.7268457119909412,0.6807806392402074,0.7892138824987831,0.9212051680568439,0.855301540799214,0.8270452426623655,0.6563206049253374,0.8869054501049832,1.3434802057761535,1.1334669936941812,1.325720062822716,1.1024626262735766,1.0167089050992635,0.9603718626994825,0.9152475200933388,1.177813546621814,1.044428052673243,0.9796069907611932,0.9270308546256103,0.8706037162116707,0.8094099381883016,0.7054576991577407,0.7084922439134177,0.7897694551916503,0.7563969129819047,0.7148520626707584,0.8008679077642258,0.8477615628318275,0.8004061204593376,0.7736639770643743,0.860518181145396,0.9291403806645385,0.8931713937852604,0.8973601973846577,1.0750443696754193,1.0455204657920816,1.2298992838611256,1.0931543513612758,1.0026704521365761,1.0300164391623272,1.2000599724245673,1.5246298672411833,1.3233585042595362,1.27405388642196,0.9845879033993561,0.8975866531624316,0.8686216635745617,0.9513623011209497,1.0947719558335327,0.9290067962585836,0.9719322437079609,1.1423438642269828,1.253556993420285,1.0301197294237276,1.1639158571248331,1.4332996067538473,1.1664123705536455,1.4655954942261311,0.9962671998904273,0.9731641090654065,0.8700001459364552,0.8239604868243898,0.8282550237695702,0.9047006892273142,0.7551625343289274,0.7756355078927168,0.7809439599204071,0.77094614751441,0.7305577055852805,0.7254567121035371,0.8180270036937248,0.8861603758480999,0.8248731514517927,0.8726936721353716,0.96290888043531,1.0521184585256096,0.9472696615854018,1.0014912867588779,0.9228449156064632,0.908828577596952,0.8142731829921361,0.8569603366209564,0.9720932991474668,0.8650957688481726,0.8639055221992615,0.9574551709104321,0.978940989372217,0.8838143681435432,1.0638933773137067,1.2092752752332607,1.0399250718444075,1.0957549758025171,1.1584988416128377,1.3231598616728517,1.1852235980693382,1.1080291799762045,1.3345983492342788,1.422381035880139,1.3059241134254707,1.0819930635254884,0.935411525536655,0.8858267246172069,0.9503590182540192,1.0295841950959495,1.2217341357184548,1.0919100941995663,1.0178099369607017,0.8368994331431936,0.8125709474233982,0.7473527232361606,0.7153701005816495,0.615174959780659,0.6010302458575486,0.9317464224767281,0.6359351252819742,0.5792759273489788,0.508178115475288,0.7036608957927266,0.42027415245674093,0.6649372749336284,1.0399523748581438,0.9603543322448885,1.8788513375237805,3.2596784257211464],[0.41422684923674885,0.4226811504778461,0.5303682074215557,0.4657819964222467,0.5135332800915599,0.4335560313283258,0.3795014567631056,0.3525164756967049,0.3501946518603842,0.30396593310561,0.3226473050464163,0.40741776630433735,0.3107224475673324,0.32421425253634023,0.3757202082646596,0.32645990872074054,0.4130820455065943,0.37854887769082407,0.5311679929976845,0.4613895451612152,0.478115994910145,0.4483522342948248,0.8679390376258775,0.8615613796056892,1.1209464675566387,0.7554454079785581,0.5278304691492502,0.44608301710462606,0.41509750290700215,0.38133761700771146,0.3593400328764703,0.3841080942465004,0.3924754268794045,0.4070249003798801,0.4049345084740686,0.3900923484731592,0.4387325250809013,0.4521925305983703,0.4157722502699211,0.4495303362015011,0.6004037903386006,0.5869850055853766,0.596083249492439,0.9055856103061191,1.0096287174747354,1.7177295186184094,1.9578429004528057,1.125430705475347,1.294690012186348,1.933579384172082,1.4358102877510932,1.4884743094394672,1.216561567210298,0.9825439756173315,1.2789487988619157,0.7583260663337843,0.8296178433674792,0.7746807705091312,0.8215119253102344,0.9935675401489111,0.70287175498486,0.6796045507881924,0.5240065662631213,0.5911089734130124,0.5183343311698222,0.5239175003205968,0.6599605109179246,0.4749653670377723,0.5933711149117951,0.6198418981508999,0.7376900259232824,0.9272669527784243,0.7195568883356923,0.7770339013819578,0.527238535777616,0.8944007314703676,0.4930218771481551,0.43096135353134574,0.44286976305830644,0.5223398889508533,0.515239713406306,0.6709633412902563,0.6506889907494551,0.6694995478760719,0.8210176460920148,0.5344927235714662,0.4476011566111699,0.5864069583486098,0.4163236682292016,0.4907053920369671,0.41005735347959094,0.696718798999676,0.4745097639906241,0.3459454764035974,0.3438062183439068,0.4281398787653256,0.44331401145112287,0.4458718116419929,0.44729264714956546,0.7399489158571646,0.45800799528890823,0.6493479901880999,0.46837943434287094,0.5380420964039875,0.6160301230755815,0.6064400525715703,0.817413687716969,0.6877562517054867,0.6626982940256226,0.7226530213970485,0.5743429154058433,0.49781241718917835,0.40773914921667576,0.4223142673413627,0.37358843519398927,0.45690583346085345,0.48309129827037234,0.4948395689222275,0.602578526312231,0.44553273940640103,0.47943681211398553,0.41650099134084345,0.47160805352376167,0.3808412954997101,0.3293327381522627,0.4894134032048854,0.5880913490833277,0.583297291027538,0.6590798487529655,0.6514759186851694,0.7673122374877436,0.8194967369357271,0.7997681473064558,0.7010390965299033,0.7548022481330573,0.7591166923852928,0.7785841295080036,0.6827553625042166,0.5614661923555688,0.5215096053111539,0.6440560710113511,0.7901644284260442,0.5328617635420873,0.47448691655704245,0.49755177083528707,0.4227149496292465,0.42518313333625934,0.42438335898700064,0.39849863711170086,0.38485566149039346,0.47080918612565575,0.4430622336505887,0.807444353099419,1.462518354359015,1.2247411246416646,0.519324549481982,0.4452417479370337,0.4228287552924613,0.40489353416683227,0.4549876765715731,0.5285572369222856,0.46324761211773835,0.5336594851637725,0.5492616520700926,0.6472709393721251,0.7421904369985891,0.752528015743224,0.9389537118673136,0.942595900014619,0.8887364043988046,0.7377663791061088,0.6773556528309667,0.713741263626962,0.6439575792699117,0.5511628495138859,0.524600532966876,0.49093072985724745,0.5624620784051112,0.5203943786626725,0.5525583812715865,0.6558001487185191,0.5983034635804794,0.6897855318372056,0.8172422637229768,0.7540507545584458,0.7275171838591169,0.5673927304874409,0.7791242176423369,1.2759858388237848,1.0316773586078118,1.208466398219639,0.9879670464012315,0.898483793032285,0.8437259174494899,0.8048997833057099,1.049294805522503,0.9441828428774897,0.8947191433398235,0.8745985368342076,0.8259273518812946,0.7798488081795356,0.6804052507006286,0.6820506461014536,0.7682830136186236,0.7436527220509567,0.6949107151316135,0.7833447479557809,0.8238247367352344,0.7892458038401083,0.7476733472293308,0.824438111933812,0.8940215778818021,0.876626920912941,0.8459275041676443,1.008498092123847,0.9783315213840637,1.1839588793642055,1.055020936124261,0.9642758505722966,0.9904452851780354,1.1676462122099092,1.5322903924492657,1.3422483305628439,1.3290068229185528,0.9793956637395104,0.8940777541958675,0.8824808880673805,0.9455186363983047,1.091467123922608,0.906434740060992,0.9421056627495833,1.0829796471482378,1.2175769822047875,0.9955804078668059,1.1001289106800922,1.4047820751138809,1.1478405416466075,1.4304970656615463,0.9749179536366512,0.9158419829969635,0.8210954696281161,0.7969790517832243,0.7983384556809419,0.9115593872201538,0.7430242325363301,0.7622250089415562,0.7710727459548584,0.803424507294246,0.7369177695356357,0.7258035638117907,0.8360479547805884,0.9098035223457517,0.8315102537096342,0.8858863785661374,0.9916055770420922,1.0715999664176483,0.9456787657981826,1.0110783177388156,0.9172202819435014,0.9036356839554162,0.8008887310631798,0.8303032601867909,0.9502449376128405,0.8455008514577763,0.8360999469634494,0.926249385804569,0.9411847349783404,0.8697756202129081,1.0338493668250104,1.1461897541304331,1.0241581851712787,1.0953507459872491,1.128548729115558,1.3033453639452677,1.1509583661693807,1.0866085317058605,1.2536734236359406,1.3744196887970352,1.308034462755559,1.0743671484705717,0.9271862120594873,0.8696759804926865,1.0048303114599668,1.072258641601734,1.2442669565295572,1.0895168411992093,1.0186042055220448,0.8025859148472548,0.7695841957870712,0.7157944390666989,0.6724509669715546,0.5908651603705569,0.5978007969552535,0.9124541371119522,0.6120930080595562,0.567842145332491,0.5201330540463094,0.6499643623991073,0.4159148097843756,0.6586174663785798,1.1830587807860515,0.9733555977506886,2.0721731785258064,3.5743195368115757],[0.3336126703081151,0.3634186068787388,0.45315207951347075,0.424977131374865,0.46648684389764755,0.3962474015038799,0.3708986131597,0.3779796377917154,0.4139067102599013,0.40404325151277215,0.4515167316683114,0.47426258686997885,0.4202340139926691,0.4440588474605901,0.49792955739984773,0.43058358035732786,0.4666448533831204,0.44860119492437206,0.5750508461488886,0.5062271786538826,0.5631302984969715,0.5605701867641153,0.7909850503027702,0.8712336022605054,1.0452371151609416,0.73821765528133,0.5338032128647047,0.4635431496845073,0.4417669785684184,0.4303910813983971,0.48022149014712834,0.44645687172081155,0.49547673635223327,0.48301763439997664,0.442264990532674,0.4413536281669812,0.4686124721685446,0.4720678395929199,0.442789776158664,0.46441117689063477,0.6288287535136977,0.588601252558049,0.6027042173490998,0.8997903645542465,1.0460786606192771,1.7185472957740138,1.981674990468359,1.1319790447601243,1.3223642536153106,1.9357288655774887,1.4212700234552968,1.4428338466172927,1.1248583441193738,0.9197953774969168,1.2208662969197237,0.7137016371915763,0.7913987685797594,0.727307665956697,0.7786995472579815,1.0486740494628783,0.762281039456585,0.7060713448657193,0.5992650228595038,0.6651074359898606,0.6053793930288001,0.604074232456776,0.7740800985549482,0.5430492542904052,0.6899372508247157,0.7013020237210195,0.8217130858845026,1.0176374102048489,0.8196749443542684,0.8553670918818359,0.6390155168908955,1.004757492815588,0.5289000053203932,0.5067358521162189,0.5035926538896711,0.5775213754502418,0.5032695646148947,0.624559244366426,0.6764689051430265,0.5727889585978574,0.7672029911028012,0.477677550529614,0.4562328238616149,0.6008053048529944,0.4576682885512326,0.5455096305135272,0.478016721739585,0.7882318315521335,0.6097097831802684,0.49046412128333955,0.47891828265157915,0.5730679679885984,0.5830763425704133,0.5213924051473048,0.5122078856616364,0.7503142748824212,0.5019440220183711,0.6620148076497823,0.45835607407337337,0.4741190876295573,0.5365418961437315,0.5393245578470074,0.7181297171222836,0.5648432588280136,0.5511055343560677,0.7118254229168608,0.5132242083605388,0.43487307753256754,0.3784453109815311,0.3901339412117464,0.426991088622838,0.45885235932845175,0.489993679275705,0.5076502186226357,0.6408975323620855,0.5222225039257906,0.550518053562154,0.4911311404504313,0.5007867131300747,0.41877289780942556,0.37676235146716625,0.4315634451343749,0.514869695378286,0.4895084253841078,0.5399263157714921,0.5342295178656892,0.6411349519585121,0.6824031595574304,0.6619774155793969,0.5609202175234875,0.6272885989489794,0.6517790678547303,0.7097962956260291,0.598311652925681,0.49985242910505917,0.4846147302983667,0.630386352781539,0.8018153278602795,0.5404594052090421,0.47020419284564496,0.46723513485371054,0.4302592821039382,0.41623114501762826,0.43185445022640656,0.3750818013096365,0.4010976966951238,0.4531014841380033,0.5049847757023284,0.8514024642906803,1.530405428108855,1.280619047844413,0.5474154002276822,0.4866811060602336,0.42178199151236057,0.42232821918663205,0.4177930946747984,0.4574672755453404,0.42561148229075635,0.4897463872428521,0.5018946052641088,0.581731537471908,0.7171083571851291,0.703230080281741,0.9295978336620655,0.9178469705074204,0.8526934512323735,0.6695860819385246,0.5843909884082801,0.5840149900634407,0.5266831769105078,0.4478253117171392,0.44732497848567615,0.44087700434907073,0.5562936805531925,0.43467650197981783,0.46420632571810694,0.6875751033494286,0.49391277518054477,0.5700991981045807,0.6879642903193129,0.6508592643799321,0.6380035181641608,0.5789830211269367,0.7769455287136621,1.328349378980581,1.0172747787716823,1.2115723463895485,1.030423133108241,0.8849322434854406,0.837138596980006,0.7418292378956164,0.9380499340844056,0.8343291372734001,0.763124640321667,0.7284810540928802,0.7207435658354128,0.6339843975140734,0.5405553133855552,0.5528773569199645,0.6325587490005171,0.609392837379025,0.5780535347992926,0.667011577246794,0.7014072066637899,0.6785654947619234,0.6470502169688517,0.7315352647298552,0.7967375365479871,0.7775623476657821,0.752842468638168,0.9364966499587457,0.9173871937728629,1.1296047776254952,0.9869379081986982,0.8699508675630092,0.9044461213733207,1.0796169888201386,1.5347045312801804,1.27052515511832,1.320992756674109,0.8567015742316456,0.754635903522368,0.7516459202124322,0.7985816039927928,0.9373025564304701,0.7619818253011491,0.8130105123091875,0.9510807717669136,1.1006223295125679,0.8645579137930172,0.9925368322596527,1.2724998959483749,1.0161322249312301,1.3336312464723634,0.8216759304590836,0.7678614590274455,0.6835934374638324,0.6766931129114987,0.6998560877234655,0.7859705088786678,0.6807173888281043,0.6530915351843041,0.6450703785125724,0.72648478653277,0.6553025921782673,0.6188817076919481,0.7551377083993315,0.8567601128182427,0.7438793362330807,0.7922050449006919,0.9231579147257912,0.9944607503570398,0.8502556107344493,0.9135284469217114,0.8183856144508487,0.7870595568746745,0.6761056240071852,0.6936944795896866,0.8256850182602884,0.7206840396320785,0.7145645859379013,0.808623862376228,0.8381888360613413,0.7461898917042202,0.919228906214794,1.0705990441979576,0.9289849945105726,0.9635782336824875,1.0222297080403586,1.224325612962901,1.0764214490021118,1.0015101873312033,1.2090370628540357,1.3268487408076364,1.2676426197138266,0.9988572948084059,0.8341345074158271,0.7747753554357465,0.8946730333741809,0.9573471586355555,1.1227682293672951,0.9619058993424732,0.8888504570663084,0.6844985791508115,0.6332662325185855,0.610642851568345,0.5852636414491518,0.5308105210174591,0.5472619968517313,1.0641671180145131,0.6110932474505061,0.5028361730194286,0.5083376132016996,0.7822003357022744,0.38174946189945674,0.6229751283257701,0.9236264188685821,0.9626450862358026,1.514876051464202,2.5598343815273297],[0.3267402568003087,0.35198906391352974,0.45466090320438046,0.41015056326653376,0.48927093364469343,0.43477698015330246,0.39651755572919606,0.3597718441329739,0.38034300261215737,0.3589246216688438,0.3719529486972762,0.4288738071733752,0.36105559130053444,0.38898453420681806,0.43101772146736733,0.38567543010065874,0.4608045050333236,0.4326423869810699,0.563203817843507,0.4952701023152688,0.506250677860746,0.4781095768217052,0.8672960724872047,0.8543178515266706,1.1019829704205248,0.775524740975749,0.5476712413676905,0.48255343058088396,0.4548643822023858,0.43216862699118247,0.40603921124105513,0.4359470965924571,0.4313218804554481,0.4565318959925895,0.4515108530362222,0.4434151650386635,0.4617632778254675,0.4630074008297684,0.427383878960025,0.4554404242760621,0.6335497272603556,0.59057321037424,0.568530891881047,0.8498600668696085,1.0070705362847343,1.7464610288388003,1.9200340567519194,1.0785311731956502,1.2764944764596469,1.8762329295058247,1.3751925688838984,1.3895807976325996,1.1417906823714579,0.9390993211964116,1.2721253101010865,0.6997828794271723,0.7565880931421397,0.7221523592803197,0.7897652668617743,0.9481580304517593,0.6950056350045982,0.7251346325131572,0.5609586000542032,0.6310184458994872,0.5492160536535469,0.5530713688317433,0.7024941088490052,0.5193966657125264,0.6365148336235247,0.6421051349538662,0.776301691974142,0.9629703257031579,0.7434067516589796,0.7963506441903829,0.5680770906523781,0.9211117037669656,0.535653541648013,0.4740105777362715,0.4803797757004758,0.5404205349635673,0.5354212190025034,0.6686850067121526,0.6595469368343042,0.606947798305507,0.801630828659755,0.5329198658854974,0.4677431671712903,0.6164917065460966,0.4594237038339582,0.5519906300952994,0.45351039296849094,0.6770025288709318,0.48748602301389965,0.3939766672241748,0.3913978532355887,0.4475605100188567,0.4743359538825353,0.46630715512557924,0.4721853777970798,0.7451696890619881,0.478959488080236,0.6528137348528665,0.4818481819681502,0.5312112995027342,0.5920151897670617,0.5852593939140582,0.7995987369392064,0.6123460910560504,0.599969832236366,0.7158549781661963,0.548256568343769,0.48025406726807707,0.4101458985309894,0.42359347003253206,0.419803778479441,0.4833950120694255,0.5149284144750952,0.5175749645067487,0.6183858969913205,0.5014709749560875,0.5216588392580862,0.4695831530028083,0.5043389341849221,0.4296599987289229,0.3807171631337003,0.49034131435714284,0.564260976456698,0.5479840311788186,0.6010722633395869,0.5960025426801443,0.6849614196036701,0.728422451828298,0.6983359768269788,0.6238185527716272,0.6799501382547961,0.6973525369704877,0.7317687994228196,0.6396178583253996,0.5424778098649318,0.5198309816161332,0.6446406389264987,0.7599969676709867,0.5406085483885177,0.48550240331496325,0.5017583264731317,0.4514527725479156,0.44562623681259794,0.4513182693184332,0.40799236643089404,0.4014669209705319,0.46217521604085665,0.45614739424295586,0.814936723243363,1.4636844828626379,1.2153048170113734,0.5232215184403788,0.458233488110233,0.4251014557972173,0.42574288540589417,0.44770430316021803,0.5072944143613616,0.4662751013607204,0.5247435301886308,0.5365085759935068,0.6119089314007675,0.7219347526348787,0.6886264414029781,0.8688902224261664,0.8842155015882004,0.843853164892882,0.6746723408307435,0.6243261975931683,0.6558454397267618,0.5979806857578019,0.5168903974655955,0.5016322127985953,0.4814045747587639,0.5685065965777342,0.49123337543568407,0.5270014346605535,0.6422907938349305,0.5567736569062078,0.6180562290414968,0.7214275515384072,0.6884549206782393,0.6721082588315737,0.5447504279943013,0.7377488199489471,1.2342568877605344,0.971109302179983,1.1574880074716487,0.9513371242794573,0.8328868528094319,0.7696182796724695,0.7107107425754199,0.9075078694533202,0.8366895413411813,0.7701786557420978,0.7494609463967215,0.7398529800343369,0.6536458002783525,0.5769741301427712,0.5898876658605917,0.6573259282972563,0.6294595226590103,0.6019853675382737,0.6924737358642076,0.702734269741078,0.6842537696150371,0.6555713156840309,0.7233808678716217,0.7788314683188259,0.7786823974040832,0.7479331441881996,0.8986795662207108,0.8748781628041208,1.0904662528745972,0.9154183767314525,0.8204089707897239,0.8477756782446265,1.0129938113854053,1.5360508554330776,1.2523240432597487,1.350720752045469,0.8344358395453819,0.7540398062713434,0.7663310979574772,0.7954608349486231,0.9216493509731168,0.7551378611401904,0.8087396309767453,0.9116370063290976,1.0708687154188206,0.8510844238824589,0.9658328436721643,1.2244354295574689,0.9985117845453351,1.3241724924556868,0.8382878847199559,0.7843754503641696,0.6960684422776524,0.6907517772779478,0.7207959959675698,0.8161186985662233,0.6950175896108479,0.6838774315153845,0.667749120317578,0.7447670969020238,0.6779313512089478,0.6420393018366671,0.7683572330669712,0.8643493578777538,0.7581345690695032,0.7945557200756296,0.9186121323970563,0.9953054071621298,0.8398456417952003,0.8888899047356821,0.8044134068781005,0.7757833133128883,0.6828736019123509,0.6907691113767988,0.7959670328408758,0.7098114913268684,0.7056220379352222,0.7747177860097444,0.8052301510903623,0.7402179286496512,0.8761124878487526,1.0097209552659043,0.900304500479282,0.9490204039514408,0.9736025127454189,1.1783402775663732,1.027752905432338,0.973686522777394,1.1029686416964564,1.2654070051918702,1.1887085320657105,0.9742846835357907,0.8279197796258926,0.7856317470180482,0.9513995420723509,1.007338052422081,1.127744146208389,0.9801986365213347,0.9125485891813603,0.7207716092357482,0.67198603769644,0.6690065272485782,0.6064030055412073,0.5434936911237415,0.5436940512490323,0.9759788507449512,0.5898764949748586,0.5036986069587215,0.4737044516255439,0.671273104784444,0.36159817904882746,0.6151550166478069,0.9918901172066329,0.8779338674702025,1.6774715157402702,2.7964518037492643],[0.3897279254390582,0.42323025641918677,0.5180962219025624,0.5498554554174118,0.5736160964951394,0.5454108921225286,0.5084624703097408,0.44382733282970926,0.43325129397057605,0.4146249278744499,0.39711539657936357,0.46439544743175176,0.4148890613737624,0.41256961391235536,0.45190794144727564,0.42782956843409853,0.49324877855344595,0.45918901632526277,0.5529674570597369,0.5032150685223327,0.5131834314374927,0.49717061449150046,0.8533744370474357,0.8239760842465459,1.061431550261958,0.751451791250955,0.5486431214971573,0.5036360351585912,0.5026705941353509,0.4887962928334119,0.4305597740696011,0.48827731716293693,0.46527442469356617,0.48245859961458437,0.49915482604075284,0.48682370612966247,0.5285338666508643,0.49634552585096825,0.4795897507828908,0.5271497423799293,0.688018968651845,0.608706058301602,0.5709130491991973,0.807652853845543,1.0008125225797175,1.770855147997218,1.8809098787160776,1.0466211564252543,1.3145945500269298,1.8821715083262702,1.3522043011409492,1.3824426169671795,1.1142697234386358,0.9507856913343203,1.2647396231660513,0.7088292785690332,0.770663253118394,0.6866942016095728,0.7675088228033278,0.9682074526072805,0.7195782527792453,0.7688995041171104,0.602428990388765,0.6261097245572004,0.5594994124843874,0.5809414017783077,0.7093364017367236,0.537017288575429,0.6242126948987414,0.642636099182252,0.7807446591327261,0.9754530687477141,0.7519932612837871,0.7849645526779043,0.5882951026170044,0.9209307247480609,0.5450210084882827,0.507592649713199,0.5249214762813466,0.5837675220125628,0.5879601454082868,0.7512423474534605,0.7065631248255974,0.6457797996697847,0.8381004899181452,0.6030525619505946,0.5218107416317717,0.6801817782178896,0.4970025771398363,0.585985415052006,0.4818133559010904,0.6698743825499551,0.487516558916468,0.4070364848027252,0.40633129191879547,0.4359027250595685,0.47099454497593496,0.4897856772185199,0.5052417815113749,0.7783165705731985,0.5357247329381394,0.7052569689523028,0.5683687588919766,0.6099855712011341,0.6809232399558399,0.6697219111086885,0.8372880733764777,0.683225226070665,0.6830643324813731,0.8198603565359925,0.6464654235635486,0.5742560291946492,0.51282813807515,0.5008592402629021,0.4854792442881946,0.5121809850821251,0.5394162627284776,0.5181327967114915,0.593551270691964,0.506123670992632,0.5024587069800602,0.47318863346660384,0.5091204891727357,0.4729697936734596,0.45682120408247345,0.5535517721446196,0.580701627702814,0.6345914881967838,0.6780665481212236,0.6790223339662045,0.7487679777709708,0.785410556568787,0.7545587759469603,0.6917067824251594,0.7341853122866744,0.7644647824562848,0.7975766078341853,0.66890584132819,0.5715550266365115,0.5539472505525035,0.6429358239605332,0.7276920201711837,0.5568366876538252,0.5168547679857121,0.5304233381978957,0.5062086943769558,0.5050749263885099,0.5232817140707122,0.500733521431377,0.4878062411021523,0.5375151860774826,0.508961578607496,0.8332422737450067,1.4654313782926227,1.2523805693583883,0.5725094533400765,0.5287819182624052,0.5024449864756713,0.5077657174355122,0.5333135304472683,0.5851738853424161,0.5377480623192934,0.5829053987826492,0.5957618463847074,0.6770416357166839,0.7974329649448986,0.7227649020285559,0.8728926916012995,0.9036879384469605,0.8746992204261523,0.7166562807487367,0.6593063340236187,0.702530110479785,0.6544668097920875,0.5920992241407299,0.5853001178244868,0.5582231305137646,0.6408728184480651,0.5721287759007286,0.6124945208864208,0.6896577497419374,0.6320155730563205,0.6795387315412769,0.7789569594930258,0.7489097256926859,0.728021845219882,0.6150989954844097,0.773529912903773,1.2304706754805932,0.9855999185119282,1.1539015664296701,1.0667388984842618,0.9230339676845619,0.882644770099674,0.7719434976184177,0.8983467217565108,0.863066243670129,0.8173706243297645,0.7964076775754019,0.8013877987759207,0.7270522428012857,0.6643410971387974,0.6919895767286351,0.7392694918490436,0.7013006186700378,0.6824203206395895,0.7675218779083547,0.7482176420459395,0.6974261211834298,0.6911794174737164,0.7576454065245269,0.7554292660380058,0.7357776775703584,0.7441705103231125,0.8349459973852328,0.8579331701218549,1.0187873389801356,0.8724656495341315,0.8021520119328714,0.8098880154107098,0.905125590258945,1.6028552997229786,1.1177213565117827,1.4276358585478561,0.8348449771013297,0.7377975386721034,0.758688802846579,0.82805288709005,0.8702011932914667,0.7906844966047348,0.8918403445512219,0.9735681358377465,1.1387458112986126,0.9203783266243092,0.9479349271902925,1.1375072376132656,0.9685321669920876,1.2880026477880924,0.8454685141667146,0.8137863261945752,0.7765021046676716,0.7686152773594522,0.7777492646377366,0.8491422292449773,0.7583725184193859,0.7309743615409745,0.6894534790715224,0.7668868253932178,0.7016843360934398,0.6699323859725346,0.7591905053416298,0.8478123585622719,0.7359743948591159,0.7433193751813734,0.853798351082305,0.9127972530219445,0.7732044382966201,0.8020750952060152,0.7340265078025192,0.725905453219652,0.6939571711594756,0.6994896152553101,0.7688159745133116,0.7209209916921894,0.7663757005644689,0.7805960676634875,0.8175611519732761,0.7770392594373315,0.884308068586344,0.9861162753374721,0.9151996672869186,0.9119811066474343,0.9260040661021803,1.1417572945246472,1.0026577871328937,0.9524131986943936,1.0504549128132392,1.2501702197165325,1.1388405607595644,0.9625126434360813,0.8297128183184492,0.8010900545013769,0.9926147696557232,1.0212472582416796,1.0934898677860552,0.9948672108037879,0.9345668587293496,0.7829234755326742,0.7394081960300765,0.7521923131681924,0.6957317137843583,0.6450628225265742,0.6229377043151447,0.9387518072103512,0.669390185111875,0.5730263709630219,0.517308003075476,0.7267457300942816,0.4494104681649391,0.6935037241167089,0.798020982856487,1.0824919736483902,1.4396004301075926,1.872096343188962],[0.5991033893733068,0.5533593585445209,0.6483630744311054,0.5521438047460948,0.7259515401570323,0.5949669185420191,0.6238658077918081,0.5614147649369907,0.5906532876362953,0.6189742120491829,0.5982074696771116,0.6309870309809985,0.6197257926715478,0.6346127857016792,0.6459882515950338,0.644960219764946,0.6438719283786459,0.6543730309465183,0.7080471146163051,0.6942003638369976,0.7498007293267115,0.7908660517709002,0.9761184075041281,0.9526430843102938,1.0890385275456222,0.8427043604164814,0.7000792661753988,0.7026627262527546,0.6788792900739267,0.6365177361067116,0.6311975394284814,0.6415291941122205,0.6009686858272703,0.6370529776336654,0.6638122384916576,0.6575566897954181,0.680514133057843,0.6750811197305204,0.6755055562095477,0.7530528146254704,0.9174561515432702,0.7281628242816824,0.6981942403628038,0.8894614423095022,1.207810344490822,2.0129295341949764,2.0883722296626055,1.2274596730279888,1.4723091013256284,1.8653460894006733,1.345195903627695,1.4301232463870204,1.0755301464047584,0.9259115828166266,1.1980221496885533,0.8032468747926911,0.8712379160359035,0.79407745345062,0.8941271564004313,1.0414819987833812,0.8859371294240325,0.9250868264142856,0.7624049318571349,0.7568312079563306,0.7603444600676675,0.7594802225543015,0.8210757593861304,0.6991235949006211,0.7712544529784691,0.8104318974088706,0.959826945698742,1.1341241814145564,0.9037952011109299,0.8929382707715743,0.7807327119696039,0.9959480025365096,0.7030403742771792,0.7055417190084292,0.7356274274164705,0.782599184718257,0.6595938231067829,0.8663872536769347,0.7119028407563245,0.734046560284091,0.8210140686412575,0.6708589562204641,0.6453482197433714,0.8285535117711924,0.7004896703461085,0.7482477888483228,0.6652138505912932,0.8558451177388601,0.6777253214331571,0.6077397041350181,0.6118243747106185,0.6222740670374952,0.657828636707929,0.6294698829300763,0.6034697721620279,0.7268554840286415,0.6271827295082233,0.6677728236024456,0.651780849238008,0.6815812346313623,0.7229585305571127,0.7218723146687337,0.8335130422542981,0.7078573953115431,0.6893013525775956,0.7390640519284566,0.6521184099038053,0.6515346943677437,0.6215489848026072,0.6614098693239898,0.6660928946802899,0.6781324208227844,0.7914237436368667,0.7006644444947492,0.7491282114777809,0.7235423348788216,0.6860928753894233,0.6932471339926993,0.7101281106078292,0.6838207239982051,0.6593326845410359,0.6781281059369513,0.6627855803115849,0.6774210300346662,0.6934007788394047,0.6868584883028126,0.7523467017338844,0.7789618453390558,0.7748205238507097,0.6948942399035548,0.755905118958292,0.8208601481902377,0.8452724306213771,0.7584733156250445,0.7356434517398135,0.7107832073302136,0.8055233415301044,0.8702459657256356,0.7366778233740519,0.7056750506097884,0.6852554941836785,0.67940664527436,0.6791152458270373,0.6530670480496851,0.6239633828566816,0.6210685764378922,0.5787387765044557,0.6115726167725303,0.8634432233498532,1.3671801284900735,1.0835178016737224,0.6117565375128269,0.5890527918717648,0.5939293977326394,0.6298467166453966,0.6421256402270127,0.6612429877464802,0.6685972999854785,0.7233417490759911,0.708944152575047,0.7514551696460569,0.95637362925796,0.8298353397871532,0.9824454602693492,0.988948325626684,0.9910823631522644,0.787965858014175,0.7491211593801186,0.7535217408301325,0.7236196167453856,0.6790248395156461,0.6499624134711911,0.6489754696583893,0.731424980952522,0.6715268800020274,0.6975709976766702,0.8785053581339329,0.6827094680122331,0.7152436103581482,0.7978078605492815,0.8163548587591247,0.8194735991782287,0.8386302161842245,0.9196641909864987,1.4692460326608534,1.1248237859542485,1.2741011565725862,1.0710610095511852,0.9556010799635447,0.9400967498546534,0.8185621188779042,0.9157394982789473,0.8659643543547385,0.8245555362146799,0.7763363851394245,0.7990260417114085,0.7256182733669803,0.7075151117937344,0.7066558821764696,0.7379857166433066,0.747318922611164,0.7542184108266522,0.7752738107581062,0.8146180761377667,0.8548794606679996,0.8468215625968919,0.9036305055209201,0.9596683511016048,0.9727755913180115,0.9865510424143784,1.0759088953501983,1.0308355231807609,1.2360119427808716,0.9387493722366879,0.8794949612545766,0.9353842007390757,1.037145204210271,1.6932002211237887,1.228300579830193,1.315924615831941,0.8235660469960701,0.7578981170930233,0.8079789704537178,0.8344109637264734,0.8657534139686817,0.7882062350181723,0.9189815857532613,0.9646002462264008,1.1175631061308613,0.9021163380563805,0.9203063878611369,1.1175909115386826,0.9074181917342999,1.1164856629771767,0.7683917758863485,0.8114064377053529,0.8104551459434822,0.8317862088073738,0.881454234234707,0.9139815537968861,0.8511054055581075,0.8379186379385151,0.8212228803186954,0.8752215293283894,0.8029132132582998,0.8162377667648889,0.9150013902772219,0.9948268817319236,0.9251828711397363,0.9434147729995136,1.0336361835875412,1.1080214709754337,0.990196129587062,1.002220204471636,0.9134872641523677,0.8899042993304503,0.8398777210987047,0.8151180437292406,0.8837013308495397,0.8168905444283435,0.814714934890934,0.8094014803581029,0.8436737361084601,0.7645516370890074,0.8754170202323868,1.0012071344024551,0.8856134144148597,0.8921442969256227,0.9196929005815813,1.1246156860168635,0.9686927529995526,0.9088456895007779,0.9917096950214179,1.198141775820178,1.125521848016491,0.9387233957460818,0.8472476982624298,0.8496213964921641,0.9231276689089087,0.9312899097562218,0.9945300873496347,0.9178362473119912,0.8633549700905236,0.7620227261499599,0.7362187156977126,0.7336907101821273,0.7292533483860874,0.6864513149879624,0.7087680531580045,0.8824157201446035,0.7268898862763296,0.7005933140980545,0.6620945086901621,0.7837812425321594,0.5713429938326555,0.7323021115776,0.9628541993980879,0.9839455210091103,1.8881893379029113,2.829452373104899],[0.43804511250991107,0.4567719835326423,0.5327747042492211,0.38830191532998615,0.4705049172002796,0.4937591112600119,0.4530709174610927,0.4183012482285561,0.4233993268481668,0.4056394977434205,0.4027659322802908,0.4978303883875274,0.4150467555172361,0.41915277640681364,0.4556904754204413,0.4506969183659014,0.47986602251099736,0.4624842997520821,0.5026890899629829,0.49557196037151724,0.51921241696081,0.5106889815489899,0.8490381051453867,0.7970948546089043,0.9762821838804596,0.6872696431455809,0.49062466310474884,0.47897216447294594,0.47614515754172554,0.4630359497910469,0.4471077033089685,0.47873005252223116,0.47592808250008883,0.4983973352604618,0.484485709267236,0.4678665983854445,0.48307917906431036,0.47734025235592187,0.44254375013076963,0.5114449151600093,0.7403492613903888,0.5351569779306607,0.5037140643721162,0.6805829629730624,0.9908937852423318,1.8428586118695787,1.8518856447775607,1.0641187092546471,1.322978172847861,1.6894179464132462,1.1947309629345395,1.194447893253192,0.9985218831021664,0.809503351221987,1.2378802336040773,0.654315038372705,0.6670034231170079,0.6725695640546264,0.8080672631534866,0.8180046385364033,0.6482998936749428,0.7192254416894673,0.5456887871634176,0.6069576927604711,0.5315084423443782,0.5510382857665654,0.6581370103938848,0.540429854354999,0.6169814683220607,0.6468142026852083,0.8243373138990139,1.0175020571233304,0.7658528053718686,0.7487646490888175,0.5748632807109357,0.8168542670477233,0.5220584110261549,0.5273096681642468,0.5271840784737202,0.5195500477939952,0.5500471599820662,0.6692552592113341,0.7093610560076776,0.5552962843627848,0.6751798507077934,0.5295840987004815,0.4833136362159976,0.6487381749435058,0.49174392323393573,0.5623247734239689,0.48184915308713366,0.6479105264223163,0.4882542038358124,0.42997653933314256,0.43782667035910666,0.47874942810909316,0.5050035535117462,0.512355691182338,0.504336816216235,0.7603283942549739,0.5363045206620238,0.7188355793774684,0.5418287266026227,0.6104784137914403,0.6483082329502491,0.6467138797172567,0.8795034915000877,0.6326497143610713,0.6341942997666893,0.7592286542318942,0.589660147315615,0.5190663354042148,0.44992208814721457,0.44649580749910023,0.4325350687083519,0.4462774338590117,0.5242731938973855,0.4580832983174403,0.5187823208150439,0.5006658473678727,0.5036717354716367,0.47454392105865967,0.4766879267342869,0.4393305192951811,0.4175912603829628,0.48976123585332987,0.5877239478615554,0.5664134992412948,0.6102559267113911,0.6118009281220697,0.6442484547053219,0.6893232864160953,0.6443625632716331,0.6289504650507005,0.6458637411390498,0.672718621778148,0.69847125278101,0.5999135808054256,0.5345260487728505,0.5019846163376985,0.5674188062977094,0.5960918234469484,0.5027252728348819,0.45804351148468414,0.45702564903813875,0.4390288868953022,0.4316293662888498,0.44019150040261484,0.45002509550458075,0.45544458071428245,0.5355636811441293,0.48123318446315166,0.7693781925056874,1.3327241236665222,1.1307406239381395,0.5493529221706622,0.5007359569999198,0.4993175404200999,0.48081569225221354,0.5144152987381807,0.5083571764090142,0.45337099431557976,0.4850865620692617,0.496820274602179,0.5729147613041929,0.7301038950848445,0.6161337285395703,0.778776474090262,0.8433151440195276,0.8037379131889438,0.6057269562665591,0.5790606327504332,0.6111027543088892,0.5850999212613017,0.5167894910768095,0.5259431663286324,0.5174860289503443,0.6487277156120226,0.5032780917688043,0.5851374126805591,0.6739201772377774,0.5723484001401631,0.6138568792582703,0.6762172508109694,0.6478293826559902,0.6067579548417301,0.5199186615771828,0.6596832337320432,1.158825947469776,0.8589218312483742,1.018568015087991,0.8364410749902078,0.7538372340136212,0.7351429745556437,0.6283709953626977,0.7242607674705543,0.7150742368742288,0.674365527040428,0.6952658398899495,0.7192543536160664,0.6725349949187304,0.6309810848651326,0.6344405533384854,0.6938840099542782,0.6862100244119907,0.6681436566089558,0.7520013976402165,0.7526220100903404,0.7246112267082337,0.7193044938412549,0.7684281743097569,0.7515769189789357,0.7314763355760463,0.773106839222142,0.8051453772176357,0.8563200586273441,0.9543303606464137,0.8378793467271133,0.79480804991418,0.814662804599609,0.8935668873742855,1.7793983650856238,1.115721714018608,1.4518652979678024,0.8491479627704328,0.754071242234638,0.7839296988848949,0.8388527096315727,0.8437624518051763,0.7701806089736021,0.8677008157089116,0.9193094298596529,1.0740005955708403,0.8578953703014048,0.8948891500578398,1.0240750765763533,0.8783979158627091,1.2146845602107161,0.7972683277097519,0.7268986692588503,0.7324301212421431,0.7731544598516532,0.7976845876645963,0.8776309266908725,0.7170757425187237,0.747127454126519,0.6935709171370997,0.7592073422707574,0.705206631506489,0.6710878095870612,0.7531935976329084,0.8200843491250244,0.745323923432211,0.7591172322721714,0.8318709826791074,0.8948811194880059,0.7842024534879559,0.8004958570722114,0.7321211222871258,0.7492865100219565,0.7160921917196502,0.7225447158265822,0.7786408035310127,0.7347618441488144,0.7547211425811413,0.754225567887004,0.7858619397687148,0.738513763568366,0.8181651524567297,0.9245219761175337,0.8687216788839204,0.8448213242829273,0.8700294249068568,1.0805624821951996,0.9263661769558013,0.9020125026016398,0.9591289930008017,1.1955710865444527,1.058322138454337,0.9194622956125437,0.8120827451604737,0.7758667312037764,0.9975721348333123,0.9408558442853612,0.9630061280633014,0.8824652820064313,0.8582208728446047,0.704134041951952,0.6480404733347989,0.6648809083787662,0.6140340277281502,0.5794950916922612,0.6096340274172365,0.9784997610501919,0.626053467155791,0.5685836196285359,0.5156591092243222,0.6668770710705872,0.4038032707164034,0.7592601160696258,0.7951284383661507,1.0280990204571425,1.4802553551392776,1.762719853984021],[0.2686999208958639,0.21830681020608347,0.2866626524503418,0.2837508639434668,0.3191385668075339,0.43221175362496017,0.40559312388985996,0.3743549804771282,0.39652014819511067,0.4048365806382855,0.4107794599624947,0.516316401460246,0.4015498755178008,0.4047022460844829,0.4501538684138098,0.43734569403794343,0.47658380237831227,0.4603678242151143,0.5113280852517669,0.48002218628982035,0.47179823025452694,0.43914486362197314,0.8658406243954005,0.7512591639315747,0.9483078885505623,0.6562105851462647,0.48005979063950166,0.4638744181792233,0.4677970705682507,0.4586391056809245,0.4263083028873649,0.48259706452228285,0.4904732317382861,0.5111869287594887,0.48948275445358463,0.4507028564734183,0.4640698561370919,0.44711995749792854,0.3970083759957102,0.45700732702489977,0.7274867236435768,0.5312015318602726,0.4902938109313896,0.6332954698077305,0.8737681965977184,1.7317808410820639,1.6656873830953713,0.9889819086971411,1.2524843740000862,1.5757198003251263,1.1344623832071195,1.0344137686658772,0.9683503794168934,0.7517961247716378,1.270135031760094,0.6386812002941107,0.6234309479142495,0.6818504804163613,0.8537079263977495,0.7397755671880277,0.6149105827923447,0.6791147096709323,0.5499321184719023,0.6124141783016919,0.5055941405977971,0.5203131032779279,0.6533948813164799,0.5532320538776553,0.5934321003308217,0.6170352445017085,0.811150338602417,1.0034078254442829,0.7332065286294541,0.7158500820537887,0.5580607841298186,0.7678602310024835,0.5298089902216999,0.5210792765825846,0.500045601346419,0.5217868122645458,0.5772307029550479,0.6128459604288046,0.7075873163198112,0.50875585805783,0.6516987184720332,0.5238199601582778,0.4670990540198743,0.6069940432956795,0.46872280481755785,0.5759389455053691,0.47722504136980937,0.5818713083933956,0.4655902159788319,0.43114750866492285,0.43260941702752803,0.4809026404726539,0.4874325684693191,0.5191814942343089,0.5089106794192247,0.7497853890453462,0.5193482798087956,0.704743676803145,0.515193964055972,0.5825133573767576,0.59819133007184,0.5733097057535821,0.8808197040761024,0.529149527138884,0.5317382923595411,0.7292162182210055,0.5176879225060235,0.4470076355954879,0.4010540300819332,0.39935528335811504,0.4231759472313757,0.437773281150784,0.4924575895722489,0.457991629021007,0.511862019768665,0.49341996108565295,0.5172525194630486,0.47881184470225496,0.46207910718246953,0.43263235988605037,0.4050865641136728,0.4338837295465302,0.574476449089254,0.46962785740107177,0.5170024076436059,0.5251970800366678,0.5028244246699973,0.5833565159574253,0.5199343891665382,0.5622099971904454,0.5525339002680884,0.5539967461060922,0.6028195182901701,0.4763365520622929,0.45791563511674077,0.4305448410231397,0.5198721049570947,0.5364713504480809,0.47312698063352504,0.4167605195561941,0.4540692374834825,0.42472823807071663,0.4095817084438273,0.4238007870710642,0.4156135307075976,0.42416228899601344,0.5096220429327748,0.43727852721037364,0.7692366768752799,1.2955111926853073,1.0622008666537184,0.5256740965301437,0.47882549491743803,0.48229281754724096,0.45902478372093863,0.4663952799551193,0.4505732160522845,0.4203707907997083,0.4111136592234265,0.443950470073785,0.5277866034823483,0.5617690911860789,0.4935374828843555,0.6289797120152498,0.707109948252709,0.6795132855097062,0.49095259270553443,0.45525378166367597,0.5477484332010264,0.5355644707632368,0.4736876737108798,0.48649032033495726,0.49399139342910275,0.6487844851635327,0.47002598498231735,0.5430908905472158,0.5593342842538792,0.4976666283640681,0.5207544394522939,0.5775939811036099,0.5729898224570007,0.5635677051355263,0.4440405168675081,0.6426767910764051,1.062386443528174,0.7458371375185575,0.8614373910186712,0.6822172308083849,0.6110949467203003,0.5600153680311233,0.4896106342293438,0.5355261203996636,0.5487785098540156,0.46767716530173425,0.4799834734485676,0.5575774203283066,0.4403622086350501,0.4704980745830928,0.4582543503205193,0.43845146906199944,0.44807640133655086,0.464525609701942,0.4859564578697265,0.48867588358388353,0.5488250079569928,0.5101696612878397,0.536930471015474,0.5565076797531481,0.5876979256352792,0.6622913890249592,0.6157837110650325,0.6397586163341945,0.8444196193034406,0.6316405739791812,0.5276047093683228,0.5872723978657151,0.6761622331963283,1.838377938501109,1.0154014281356527,1.4263584001849101,0.6488752203134021,0.5881652603501268,0.6613414557238166,0.6881266141781287,0.6335629543486506,0.5018920241880609,0.593477156182621,0.6195810136441292,0.791182136547651,0.5492500585083843,0.7728878593946087,0.7739129517506615,0.7050469237218558,1.1193113351185395,0.6256765926727977,0.5629622236287062,0.5224925643266981,0.5705452652679718,0.6774954567092434,0.7722192133112833,0.6795089568781524,0.6342420002175079,0.5730983060020576,0.7369837208834894,0.6458480229801424,0.5724891103147525,0.7120176269427655,0.8144733862092095,0.6642392504939274,0.6463506755546162,0.7841417501679704,0.8221168654942805,0.6537791242093156,0.6639291192741611,0.6021399384881639,0.5813304604935097,0.5399089687148614,0.5264872486162168,0.5738103611713001,0.5050310769678262,0.5383112989684874,0.5022869301293578,0.5388907734503428,0.4906703403011638,0.5545294663986475,0.664233534296047,0.624608703062052,0.6092423441887717,0.6332865128475259,0.8857540376921818,0.7282371202842582,0.6891104074740069,0.7386661836253154,1.0155835523413943,0.852859734063021,0.7165652378543013,0.6016432149463551,0.5613276955902605,0.9135422196902804,0.7865488768754954,0.7783574026543367,0.7015912156494196,0.6611037626661612,0.48998906834841405,0.47778277856307133,0.5961421374879058,0.4840979017376768,0.46100768921096746,0.51020154472327,1.0688541623175394,0.5195355429226381,0.45829528122956453,0.4720539804548093,0.6377883029384596,0.327393343298733,0.6659578808398579,0.5543405111252123,1.3302815146745546,1.6490140055259481,1.1585188351080438],[0.3395753321671627,0.2658965536126813,0.3319199103822829,0.33046528995183416,0.3612225189529154,0.37635078037456193,0.33297113545049406,0.40886347074322077,0.3736538182811784,0.3597693364561459,0.37772106767480224,0.49311597125574563,0.3660918133378576,0.3530666260042352,0.43775669043770715,0.407001395953997,0.41195852581205855,0.40289648898683145,0.4412038725943856,0.41080461172091043,0.4360509715173811,0.4249324496892729,0.7282550228954188,0.6838756864368477,0.8542288434589029,0.5957242702940037,0.4113171060332483,0.3818456755457713,0.4074227929650132,0.42245552658471475,0.4294016288222937,0.46857410381061254,0.4728831272812401,0.4810145427029168,0.46075601162966007,0.42563281329239966,0.45934203822723446,0.418176622764502,0.3732302930383406,0.44330893149349804,0.7220214280074656,0.4730578706574381,0.4473655715833438,0.5744792466678538,0.8551386793094039,1.7101442340146722,1.6429220460989757,0.9953470737860707,1.2614833010154853,1.5409177674612133,1.1010588741788112,0.955516442707268,0.8964291749906061,0.6737795666734884,1.2555346790590962,0.5985502601314091,0.556528787037423,0.6376006821554843,0.8014932443492631,0.7197001761466792,0.5793621062606915,0.6492409013245833,0.5091380704436441,0.6163811614404631,0.4767955549318541,0.471585348306637,0.6407621528225438,0.5061559530764633,0.5653707017634808,0.5909516580198712,0.8202830394860998,1.0477552784174378,0.7462110553494636,0.7257941596730931,0.5421563089377516,0.7941889307229245,0.48167950072073995,0.4861319499638614,0.46310224147246776,0.482374429617444,0.549643950897967,0.6077206051035777,0.7573108609403923,0.4778632361056772,0.597718220030732,0.49132183921181016,0.45566031567554965,0.5767548523276609,0.4251417735461131,0.5624728174695528,0.4657339562471383,0.6129016653149607,0.4885157672327358,0.42724138917596893,0.4318661620542352,0.4886513110628306,0.4812075745307888,0.5184343005210361,0.511972399702179,0.7445810645967703,0.5172698641323381,0.6767397872234642,0.5090450777402473,0.6103557975317206,0.6099759447370623,0.595517573320466,0.9097502406705373,0.5128252054516249,0.5296111651337216,0.7260045131624617,0.511647053008587,0.4330798843588662,0.3539609335245283,0.34476564579285557,0.34781990225283493,0.35207771646934166,0.392650023058947,0.38148274334186305,0.4279715314664903,0.4213931395394551,0.4135035488708314,0.37696031915226025,0.3722677105878222,0.33786341830779754,0.32672527896038006,0.36704980118015873,0.522280941644474,0.4422424221426548,0.4921039736835164,0.5041867713315474,0.4892588620500679,0.5737422352081137,0.49051244677900596,0.5306586447781249,0.5075336465539494,0.49273372899457224,0.6098904487088,0.4457717250241612,0.42156698648789775,0.3848728446093395,0.49584313657120177,0.5104628366248437,0.4205135355796869,0.35064907936424583,0.3830693948653666,0.3802415391347787,0.3540494899851044,0.3775028713518574,0.3761190782219085,0.4132430289191714,0.5261630982088592,0.522015778288549,0.9380666042329476,1.4645761538230606,1.1083520229244908,0.5717400416594131,0.4847638963612565,0.5130368826459166,0.4454732644987706,0.45353988332748985,0.4060640305296418,0.36819356242063983,0.3258936253002589,0.3767267683970538,0.4624886229663717,0.5372857750816074,0.46304737955298475,0.6228836087680152,0.7000124516610196,0.6697835321263634,0.47503264057279265,0.4052278853961232,0.4678327276753694,0.4544982525535792,0.4163288754440552,0.47740943979779277,0.4696983969711634,0.6893857959612348,0.4485253655436473,0.5375563290437102,0.5870896895794718,0.47142599755559883,0.501003752838634,0.5382199171849665,0.5157902962230889,0.514328610788835,0.44542923785136224,0.6140464332234153,1.0851978440591203,0.73208429680786,0.8753102327635992,0.693826442988294,0.6315517704249608,0.6138091552093061,0.4846937668077008,0.5395201054174937,0.5529538255690107,0.4850811176142783,0.5165258285942328,0.5678534583694806,0.5036790810153544,0.5210058612685732,0.48945051081212854,0.5094883044353012,0.545362494328264,0.5417518896472077,0.5828897228540832,0.5942121934287389,0.621995161237255,0.593117294954729,0.6630742032085374,0.6569889752924412,0.6559271929901298,0.7441597648114024,0.7335005659180353,0.7621822774898322,0.9017069054029156,0.749673800991014,0.6510634737531411,0.7108003337792446,0.7777007767729681,1.8992094988224884,1.0852064801547208,1.4966401071577617,0.7126087232618088,0.6391263396011269,0.7247618432792722,0.7713466994090373,0.6814751169311926,0.5945632184817261,0.7061028462053527,0.7144734680494459,0.8828969989459167,0.6527005826493418,0.8474024075001318,0.8030721380398279,0.7375880688555753,1.093016259203068,0.6520936499723738,0.571048951374016,0.5956574299054006,0.6745852603666286,0.7571297976895212,0.8157470467419488,0.7686810459391701,0.713908491294778,0.6563817958044862,0.8207830758784868,0.730187347683938,0.6426298055957856,0.7790270785099747,0.873468808258086,0.7120302369832611,0.732177961741862,0.8677775473257917,0.8791404153368633,0.748550001533824,0.7780546979615792,0.6731137648787505,0.6731564288915803,0.6317412091496696,0.6130998321351856,0.6637793223770744,0.6047152214691841,0.6404444792664542,0.6152819146836197,0.6512279943615908,0.5827703505908676,0.6669801381014234,0.7730240687274527,0.7221275574633663,0.6808269699216091,0.7188578980185653,0.95535723546839,0.803350176327464,0.7669333546330229,0.8241489561483527,1.0596223816974353,0.9861202097068079,0.8305746577212735,0.7046590809344909,0.6754080167962195,0.9558937024904427,0.850986230684328,0.851591288306839,0.7572966619620138,0.7139114916091616,0.5310142580077758,0.4957256177519427,0.5751749266426314,0.5011159214636698,0.4915041383725458,0.6123576473586313,1.227236835380511,0.5347884410248714,0.5202122594457602,0.6004141097863405,0.7887543465746144,0.4716378740763365,0.7097387030008585,0.6388801153204866,1.6022827139905098,1.9329899084302085,1.5829951000125413],[0.4694918227669003,0.31895691892394173,0.38551304946884557,0.32315522973617644,0.4477208618043683,0.474540207300039,0.4944999517586337,0.6132217081082615,0.5322399407496037,0.5181603422182905,0.5211954716489618,0.6605199626988264,0.5503176007759464,0.49624589018769333,0.6000012459788837,0.5892672186937479,0.5722951222827105,0.572871960322512,0.5609361312643868,0.5860160359617834,0.5960179120361305,0.596913987035907,0.8209554765522122,0.7573804179197381,0.879816665716557,0.6737661338818576,0.5725007708636872,0.5557022819884406,0.5865613241198242,0.6310919592212302,0.6135277110417316,0.6644611723563595,0.6706900178869581,0.6758800557990223,0.6730755233605291,0.6397231466103824,0.6741455259782766,0.6390210382596875,0.6084677448589818,0.6633162484772761,0.8919829611595187,0.6369751327346059,0.6388397181907083,0.6862113569940725,0.9235328049450179,1.7633047100121382,1.6358968312300686,1.1387166637122696,1.3998086232903844,1.4811145972237398,1.0872342275885782,0.8934348415481683,0.967924863691878,0.7499275268783163,1.3685002260355508,0.8464428482576506,0.7401963595377088,0.8193769410202006,1.0076777074973666,0.8618249681544656,0.7523274948710927,0.783038467375286,0.7005502602268154,0.7451909523548123,0.6325129813046065,0.6408909583462931,0.7684274967288879,0.6524809969363135,0.6334159525511416,0.6976335819454141,0.8828648732673484,1.1552368867911067,0.8569194198839284,0.7899164169782296,0.6870628233956291,0.8833600336311376,0.6509186818670167,0.6843801254424636,0.6744755863259516,0.6971204036734608,0.7812482296333395,0.7848444910563777,0.964334985572611,0.7141336939926736,0.6929303960671731,0.7069734121272386,0.6725291790003918,0.7362523601302927,0.6339702392275453,0.7476047208904395,0.6668909093443807,0.7354304436897008,0.6505203877254813,0.6313878916688507,0.6181886090265638,0.6595904381783118,0.6147631518970265,0.6782709587088898,0.6777015756162741,0.8627503303055635,0.7121957193610495,0.8118282493820832,0.7189426427421755,0.7820683026727078,0.7788807967722047,0.7410703191231315,1.0768186252526493,0.637267759994079,0.6269707375299165,0.8140831546308143,0.6317503953005953,0.6209049655729881,0.5674095432100463,0.5434056876900242,0.526116923398161,0.5020641757047678,0.5377011929077787,0.506518540029868,0.5278390131742277,0.5552691594704771,0.5069331703374036,0.4903443181378326,0.4689277021636191,0.47258389402414674,0.4861898792021401,0.5203844167395565,0.6592824479442743,0.5778405325629321,0.5934927452359612,0.6137576909012316,0.5531537981175118,0.6638135586268176,0.5730767674454476,0.6594344665848653,0.5825361118383702,0.5386878910187465,0.6591481890877344,0.5532299661885677,0.571718973033888,0.5459496935549547,0.5889364003007914,0.6125345369174191,0.5700267190848051,0.527624439354778,0.5786879738394595,0.593912330047013,0.5590288099774774,0.5942584256270358,0.5938789498959437,0.6148943170633917,0.7066655362577606,0.6948203074752975,1.1067946982522376,1.4236876009438153,0.9981919288606478,0.7578531908902594,0.6778845215654062,0.7194973997912842,0.6576293769393428,0.6619141693053626,0.5702026020934108,0.5900403721265116,0.5027817463219807,0.5680033208670284,0.591128499286214,0.6076405500292034,0.5618595158715329,0.6744502199145493,0.7539840064822236,0.7322099189967546,0.5748341121387839,0.5190113250609907,0.5712036967792953,0.6024288074963192,0.6083551238915349,0.6875572305659371,0.6672009848579443,0.926272844271772,0.6630469288543309,0.7572103895784339,0.7681979129817178,0.6381134541360264,0.6502358638944613,0.6545000523470705,0.6387387582314268,0.6795880199791954,0.614923940366218,0.733335480154098,1.0769741287115866,0.7557963384371453,0.8862354967673629,0.6377206767482915,0.6164578220484244,0.6197131682470415,0.5401750000860535,0.56807671850952,0.5634281254621749,0.5362311739243906,0.53259994663866,0.5991316445022409,0.5354617223532495,0.5971358022786458,0.5553736131614401,0.4890139799732618,0.5372088519060338,0.5234721949975794,0.5343961717018867,0.5143399666092305,0.5772631764623702,0.5152760570937522,0.598489809424348,0.6393436005656529,0.6223656818950858,0.7833653335882372,0.7936322972829758,0.743289802239511,0.8977609927786315,0.7035033494506148,0.6122791486654146,0.6784978998347516,0.7313490232211483,2.0474608187095735,1.051833675882737,1.5199049517875447,0.6730862880595575,0.6727922934630013,0.7920022563308533,0.832006289011175,0.7037013617657599,0.5919000353831716,0.7165142816995037,0.6693769278538951,0.8328652098616506,0.6312714748094984,0.8769627991090673,0.7453028416462352,0.750612691838433,1.0186420450144824,0.6842253734438937,0.6244755339330493,0.6349920065648367,0.7073393766651656,0.8121741950637393,0.8924961924375611,0.8727133917701195,0.8127063807558772,0.7435993781464822,0.9276394009849368,0.8419637695577057,0.6871446598590032,0.8389642229611917,0.9339597176831753,0.7153207129504682,0.747550847109094,0.8930477491189326,0.8567591844369099,0.7352266627885378,0.7862975205185999,0.6981513998228617,0.6840285981786347,0.6486584168082553,0.6348949173796815,0.6702177711215921,0.5733005767506576,0.6177773208584596,0.5852271758112176,0.612737371520446,0.5455897878512413,0.6198137408692292,0.6860853499335557,0.6441968092606692,0.6324634886358781,0.6871782149071827,0.8757054504461117,0.7099245831741565,0.7008531205138057,0.7511869686875307,0.9657567684334778,0.9155860190831839,0.7811499506316897,0.6413488565671313,0.6832675730747542,0.9860623095146003,0.8256352929928538,0.7931054557339338,0.7204233928488859,0.7019712896564354,0.5493847253169378,0.5630800466837306,0.6386483720445615,0.5778418084999569,0.5857011970524701,0.7074209496444082,1.3167534519724549,0.6105048939408309,0.539383247233694,0.7100586669891498,0.9867836702387748,0.4556304599792675,0.6209216683734746,0.6624406971542546,1.5206500564157854,2.268840521681902,2.1711641395839605],[0.4869212064285345,0.3448236103690191,0.4095933494104642,0.3447407816982481,0.4574323403446406,0.45711121219152456,0.4335468090682992,0.5513429962805075,0.4568078948379697,0.429212495626411,0.46333633750910597,0.6169415937426938,0.4894804961090391,0.4203887788421334,0.5742799953814327,0.5528076641605362,0.5010978911847481,0.5155314939829209,0.5030599942917774,0.5339752914565961,0.5594218529624644,0.5693901683883165,0.6892378481950855,0.6821263764838791,0.7623439863722884,0.5810008069914521,0.49726820287296775,0.47961273508007357,0.5258403025919994,0.572331846281612,0.5858149985924649,0.6407448862525075,0.6737639474713084,0.6656925019310842,0.6418704717010131,0.5871334776633226,0.6323160536414388,0.5812639364600636,0.5659173154459785,0.6382257821466697,0.898363995979555,0.5647177269991991,0.5968069369171489,0.6311777910942175,0.8945289691163462,1.7299804810265507,1.599504517053863,1.1031338693030532,1.3750369876134276,1.4296496899166842,1.0133505228308528,0.8600234021263392,0.8748182168235904,0.6735371762107675,1.3431300601572247,0.8208325291196553,0.6972837918112958,0.7951556398961755,0.9948786902293323,0.839543660319303,0.7248729187463928,0.7516928990512906,0.6685704397223591,0.7187823285042269,0.5887479555334257,0.602384256641725,0.7509922710958378,0.6313500986538314,0.6177288817263046,0.6660542639120547,0.8822387653207345,1.1638471442981497,0.8599035306692722,0.806282355329658,0.6833892167528116,0.9288010548123211,0.6185514406738147,0.6766596108201295,0.6464760811189433,0.6647307214077348,0.7485749731774641,0.7678878716516171,0.9816706674240313,0.7031813576302507,0.6327073768327159,0.6558490049750404,0.6254650430971709,0.7209841329836977,0.5898795380780798,0.7298103978124294,0.6491890114184431,0.7578589707994597,0.6736832346479383,0.6510150918689434,0.6204914029581498,0.6760274548755363,0.6275248025725174,0.6767235847247127,0.6768323360446985,0.856755232057636,0.7071910169465172,0.7934735147885127,0.688924618954735,0.7605661103033104,0.7501944798119908,0.7190940594252787,1.1039587544604517,0.6308332389175986,0.6124548833453642,0.8113103431440696,0.5939795578966046,0.5756658131973034,0.49513582697126574,0.4759470589427756,0.438023055397439,0.41228262648573233,0.45523981915987094,0.4228268737944704,0.45466692805451003,0.4863928577473421,0.43729443164743464,0.4179604325775266,0.39094224273838835,0.39565952304597707,0.40230598613047697,0.44668602958070314,0.5995183101350289,0.5242430713424463,0.5466889893163122,0.5801097621828966,0.5373143789723218,0.6613841703789205,0.5499936478474919,0.6486398233210129,0.53269405044062,0.4846932235782828,0.6417153894688933,0.520553874472285,0.527714630536744,0.48279134553467307,0.5304233148638747,0.5424516860246926,0.48851121183596086,0.45250522527132,0.48164533342937166,0.5202448704842605,0.4744309158384589,0.5241917823035239,0.5372320284789619,0.5568028368862162,0.6691672652865905,0.6653876854642952,1.2108551455289815,1.4397768220733986,0.9865987083005782,0.7790561174886197,0.6605043234018702,0.6970857696774941,0.6118552021134055,0.6511898925957456,0.5093750020789786,0.5197624799243338,0.44037078611519376,0.4941496652746157,0.5079990756312366,0.5972787474208401,0.5345524601754978,0.6712319471933857,0.7563862517287434,0.7366671831514168,0.5522686370343898,0.47096268563454363,0.49917871268815633,0.5343751681717942,0.5567447809751577,0.6596135319602033,0.6243027231388174,0.9429638126196406,0.6394008983423237,0.7308528042595893,0.7688946271619077,0.6035285957159379,0.6208157020863305,0.6150057348770951,0.5982111835407877,0.6155427684832793,0.5834506984607837,0.667500454971025,1.0631106747754275,0.6929445640119573,0.8726865086650741,0.5996712750714518,0.5945920639581397,0.6378947892582371,0.5288140272446117,0.587409838628744,0.5698864666921154,0.5570358384198134,0.5558492976961339,0.6339444210407363,0.6027951492011224,0.6730561545201599,0.5962723012241928,0.5559463127937987,0.6327035991680748,0.6019716834279291,0.5865448134995119,0.5904552162474452,0.6714182927862412,0.5991437393765725,0.6826158412005608,0.7099510588067416,0.6604540710705111,0.8159893063309773,0.8801527121987138,0.8406725560510467,0.9934454602210504,0.814253414840214,0.7217665967973065,0.7730928229670128,0.8409248819131324,2.0399460649287144,1.1557718427083428,1.5777558115119048,0.7686312288666365,0.7960377521877695,0.8821496940984486,0.9228297030827571,0.8097684157085694,0.7036362408751308,0.8135604838262951,0.76012297777508,0.9045652958032998,0.7178220791870721,0.9181390869529827,0.8275218025617134,0.8286765603290985,0.9766207480474752,0.7051728590691645,0.6772877244214567,0.7298690797567299,0.8073036559544944,0.9172609149842895,1.0133807166151487,1.0131407430314565,0.9316082497880316,0.8952203109907064,1.0966827422800522,0.9773046782846723,0.8073614289400234,0.9955317474349323,1.0847286930723115,0.8265471651050116,0.8969331055880649,1.0494515962197775,0.9686059155216158,0.8209918591866184,0.903932842671555,0.8101921456001103,0.8193678294226358,0.7873573744637419,0.770006796836457,0.7894071446347416,0.6860001437689266,0.7199335217234769,0.7108901902082297,0.7283504227701021,0.6446248875540765,0.7289670594381658,0.7998728877209355,0.7380397700692817,0.7268772992497747,0.8110432113375101,0.9990879546597311,0.7961173456963412,0.7906335405015632,0.8598578803394836,1.014671542489592,1.06805523110993,0.885296709065846,0.7387411950981049,0.7603464256711567,1.0399861835018693,0.894637403404128,0.8787582929224312,0.7695346164262039,0.7512059090114342,0.5882212075197943,0.5746479642099184,0.6120142241844404,0.5810041966491135,0.6175398515667772,0.7947839136236657,1.3577856338451142,0.5984199723688621,0.6123071259888209,0.7723896237016092,0.978493649527294,0.47719782507569025,0.6790322324641271,0.9408607219702569,1.704968558799882,2.755108440666198,3.4201246256412516],[0.51028799751541,0.3119965837942769,0.40221293558440424,0.3424793137712607,0.40673765797388495,0.3825560056794373,0.35521435304055554,0.4537780962676088,0.3839936537227247,0.37232866812581605,0.4165291563721991,0.5222697911108494,0.41740735240364835,0.36585026614966926,0.5202616978530458,0.47290458828206144,0.45438853837799703,0.4726379215368711,0.4923200742286726,0.47821192273484286,0.5275898606528249,0.5139059129602613,0.664158388851844,0.6861472149427438,0.7532912757554192,0.583355907218385,0.45646593734085716,0.4349131747133462,0.47092423314866116,0.48194341019064224,0.5162370203210864,0.5453845639079591,0.5790055306568554,0.5751117488745754,0.5373019229137476,0.49906916909001847,0.522215741262292,0.5081188773548794,0.4673721608678098,0.5452340304620842,0.8191726805652578,0.5283455944046977,0.5389620593640733,0.5844150508344136,0.8336514503226283,1.6441729713050117,1.508557025405986,1.035904130122764,1.291777528805227,1.4327866811504026,1.0501304682675643,0.8357461188274884,0.8299616636667998,0.637554411059922,1.3911060922452883,0.7577407220683005,0.6288747440671332,0.7451650103121752,0.9273124982019862,0.7757738623447358,0.650914015960291,0.6801846727701775,0.5877304109555676,0.719790231552006,0.5427508812866386,0.538546173731978,0.7312605033831546,0.5871845589301361,0.6100888652376978,0.6270284215933191,0.8704256373276362,1.1557406259337488,0.8149824195635144,0.7931976813415528,0.6391473406687946,0.9272795928053374,0.5422585863428326,0.5734539805470639,0.5396282206828577,0.5614505508156472,0.6351076134771712,0.665075070922853,0.9438767904663917,0.6043798485709567,0.5747425634370129,0.5500182928711984,0.537728592596903,0.5976522148760118,0.49859557686426176,0.6264264167544698,0.5609601225363579,0.7105099401059355,0.6066875555159433,0.5597806207106818,0.5379072551833967,0.6150953680319767,0.5726149841564795,0.5906874444107703,0.5841633779643376,0.7832836197624464,0.5923488880203116,0.7310450508789301,0.5566916504539641,0.6472238498844682,0.6585610407704579,0.6342365815182971,1.007106039691197,0.5533979300819434,0.5641067300424187,0.7808784847281005,0.5188236510805101,0.4575843443862945,0.39682191559393964,0.4028849162428606,0.3901735803202273,0.39247329675351045,0.417605615841612,0.4170411695855628,0.44667638742752835,0.4657246653092007,0.43548365668131317,0.4000727393237905,0.39758214325010566,0.37841379822744764,0.37251572626068385,0.4172107553693486,0.5482864525578314,0.47772729804990705,0.5004041584204102,0.526733398538801,0.5007256821448656,0.5901839143327705,0.5019968655966955,0.5973389353562271,0.5247207258887664,0.49284688623392137,0.6452483376029758,0.4858478223304568,0.484846259120314,0.4445391757371415,0.5305733661724291,0.530357829364635,0.4623676689020816,0.41226209353827864,0.4342454591358238,0.4437312077759669,0.4078949757907199,0.4532010549145087,0.436740575496683,0.4520003049711287,0.5706467011004305,0.5659721895239316,1.1339206250900273,1.5023404256424164,1.0289950389793756,0.6644677078860904,0.5479617188588469,0.5712166548437143,0.49449880017476106,0.5286696615245888,0.44944018057123764,0.43880756588081365,0.39399752867380483,0.44354970108967495,0.5198272522675671,0.5677339996828177,0.5077516329296379,0.6292774572607626,0.7166436320543084,0.6969695927143496,0.5147114028302214,0.45291773138488034,0.4779336042003696,0.48817192654032465,0.4572895667762158,0.5382398265337808,0.5099333423215605,0.8225728524112647,0.5199901594215778,0.6027793529754333,0.6468710228888815,0.5215550984115936,0.538862386985041,0.5458365608287764,0.5339787469795038,0.5588921126996625,0.5019880727553895,0.6934345520356552,1.0523649251546845,0.6948764841265088,0.8600975298494294,0.6634261566810381,0.603263046624796,0.6043857313836465,0.5052163746342326,0.5363566367903939,0.5547168879463912,0.5153123674976073,0.5296215056042624,0.5744874772327547,0.5424394928522096,0.61078896561612,0.5410097129553226,0.5075323918377638,0.5461142380940842,0.530284069029949,0.563752644686549,0.5438262154112371,0.6026344650116067,0.5518147662250539,0.6301607390721948,0.6522440128966135,0.6194098149582411,0.7725423754892357,0.7991877970124278,0.7704131700739251,0.9455199974299702,0.7584862610503902,0.6519361070615262,0.7075009299088945,0.7729707703432002,2.0352524470231863,1.0894087201958693,1.5454721779705802,0.7047698343299403,0.7280437994078739,0.8147404276234148,0.8719559917913078,0.7466294114858042,0.6019488077706475,0.7122268005827244,0.6759115447588938,0.8287615646527962,0.6190610596907069,0.871595498656629,0.7719881626707984,0.793589824807349,1.04814516238553,0.6935911510952285,0.6219500817264785,0.6461452970531096,0.72247793460054,0.8606610337923328,0.9633886934176479,0.9266008201628235,0.8303443320415437,0.79364946210573,1.0104352954912779,0.8913543691867107,0.7167469033456931,0.9028917442504074,0.9860935086462895,0.7310534085238488,0.7930033433073067,0.9523005893427199,0.859184589591943,0.7523177647744108,0.8216335509251605,0.733271198091152,0.7307372629315615,0.6894045814640766,0.6797605441012378,0.7142864448096616,0.612750881025612,0.6533685636814225,0.6278014190218124,0.6533502938961153,0.5734279336852872,0.656256384055678,0.734046441702629,0.6870822366470819,0.6747589292301198,0.7287351414366985,0.9392653374042766,0.7610837010572389,0.7602237219852779,0.8278185171333355,1.0265665521709273,1.0163065551737192,0.8529896339220204,0.7068779092071419,0.7124261051907728,1.016133734729278,0.8758991142048814,0.8611551318883462,0.7627681804126124,0.7283924446728692,0.5562699640475542,0.540080267973195,0.6184973918355365,0.5649958748520089,0.5252809774742826,0.671022188767646,1.440450976823447,0.5164117900475047,0.5287018317170256,0.6856092913819464,0.9107897033432272,0.4376223399170924,0.6747395969285559,0.7683965980623767,2.2624314229781484,3.397435549954001,3.7749193046126854],[0.47266600250684004,0.28300615910197013,0.35105680115773236,0.35845981893558443,0.3542660891113135,0.3404394764273631,0.26232300718418694,0.34994980611237625,0.31362917697099807,0.2961883701252127,0.348874608263444,0.45403862451838034,0.3182442556871823,0.3001760072018553,0.4371332402634183,0.3911097719573381,0.3605575223591397,0.37753256748983427,0.39564145179392146,0.38977753316678937,0.453252242482536,0.4407386665657141,0.6037456126656388,0.6440224677491884,0.7311340505628845,0.5275439227411414,0.36445502460923257,0.33585447185489153,0.3646460073533531,0.3831051873726822,0.43580687559787373,0.43837286817199816,0.4910578711769676,0.481135425026792,0.4372640788736765,0.4054248806923625,0.40904451766878697,0.3911833833302155,0.36741925870253267,0.4471412051831926,0.7522967453578542,0.4239903974044049,0.42482785264882317,0.5296960126878273,0.8362852268787488,1.663289179727562,1.5686418481201085,0.995119249467716,1.2614006590957376,1.462441482117274,1.0251378608981048,0.849958890915791,0.756881186194488,0.5768330774085354,1.29240155500857,0.6355450297581778,0.5524000980301159,0.650857482032932,0.8400069130364772,0.7067841372289689,0.5763433954639804,0.6441736089072808,0.5076510108890655,0.64399976047715,0.4636342994681222,0.4710250575393857,0.6591072989064986,0.4963970171421091,0.5605868655910929,0.5722948157209865,0.8098283580572022,1.0884159073166517,0.7636114551009057,0.7462475308066222,0.5794337862094295,0.8842113864244424,0.4547406090237879,0.4838769124036847,0.447533162834987,0.47379472250805815,0.5310530991580666,0.5740545979734851,0.8580218422987679,0.4624391108419486,0.5015239983995109,0.4235355449409983,0.4303354832479659,0.5363890306682237,0.4046820311149181,0.558138788080415,0.4710636440092913,0.6799152300850856,0.5367716614216648,0.4719094088770159,0.4568868519244922,0.5520440657572557,0.5194927686583443,0.5228436591281869,0.5032217658936546,0.7195809118695611,0.4971066258136865,0.6509955475193547,0.43338432050997355,0.5280750064279841,0.5492501455509263,0.5267882917121014,0.8607941697371081,0.4364547775947244,0.46607593096435285,0.7191223169728406,0.4217156402091079,0.3473956426820133,0.2813662358620138,0.2976027924492068,0.28847861892899257,0.2959984445313919,0.34742473243701366,0.3481953989410207,0.40443796045486075,0.3942992867558529,0.38412518476260593,0.338550451958427,0.3414279422238321,0.2966837910620203,0.2767868991850944,0.32018856128676954,0.4562255358888642,0.389860189405698,0.3978107268196364,0.4149447453365127,0.415922960240324,0.49566394559569155,0.4090287018147986,0.4691320294003158,0.43731164586391746,0.4275387108899211,0.5955383730495936,0.41325904269731756,0.41264838622714006,0.3574359867100102,0.4852778917575327,0.4881824952357966,0.3959659770609332,0.32024808480709865,0.31496418088090233,0.3334899783585668,0.2971809249751237,0.3433222276724274,0.3134954232456185,0.3629659749749854,0.44295767324223984,0.4789550504107074,1.0257503522367988,1.523202210688518,1.0648856655833816,0.5415677651866881,0.43887788857516646,0.4416028717136617,0.3890904545118408,0.42719259075976396,0.33579804297632343,0.3038645039648882,0.3015953239941414,0.3142709764354818,0.41728510668223767,0.5316233175837445,0.4472675157880304,0.6080003445708364,0.690734234599269,0.671376172582292,0.45575251506535097,0.37319575890567364,0.38071192087577543,0.3712445177891943,0.3362345458818827,0.412212040900834,0.4006353254870346,0.7409605418387325,0.39034048754763656,0.49796438637789087,0.5987912483686337,0.3984404082749372,0.4199335342804584,0.4396751294716836,0.4449029573536637,0.447916720212767,0.4279639637141858,0.5869735561605013,1.0739832634193651,0.6712106298584454,0.8620727604863885,0.6703764211728096,0.5939284678873489,0.5992224027444653,0.4315796313306793,0.4788797334004807,0.5073731140171585,0.4323200902981832,0.4554681150316337,0.5020602588143113,0.4513696405863731,0.49666715032769937,0.4427431851141591,0.45664864131085253,0.49017967099583487,0.475254837739657,0.5335548465330782,0.5276284569478902,0.5768303070911935,0.5320243797311665,0.6158514329356152,0.6317136985026149,0.6116157934765968,0.7379103952919741,0.7552913611995933,0.7491043645107567,0.9162551768511715,0.7446254754401875,0.6339012993872255,0.6894097629288378,0.7543331859681215,1.952796993344997,1.071454760290053,1.520330724735559,0.6768764107301972,0.6466504294118778,0.7254729270757186,0.7772975214229862,0.6739579052614844,0.553542340576693,0.6561907807110708,0.643966016183505,0.8152392367729476,0.5752114742759857,0.8124415311044287,0.7334408413788822,0.7208300698849391,1.0310595174143284,0.6048868176944053,0.5259612595422459,0.5818372888103297,0.6580640203372129,0.7817360882430024,0.8636507213020428,0.8348193209232528,0.7404158709864069,0.6950441149215455,0.9137151318111079,0.7852910114783335,0.6575432121696739,0.8308998719700095,0.9260244828932876,0.6994841958595424,0.7496943534625214,0.9096092814281697,0.8562178526839669,0.7315179836478205,0.7815884178681787,0.6963666898905447,0.6799840988690784,0.631317727342843,0.6171366261266414,0.6688441833291825,0.5731747156282552,0.614294708562448,0.5884834270640051,0.6249870278272736,0.5388463847506312,0.6162772959179696,0.7294400665449825,0.680454919570193,0.6461065816881485,0.6915994274940059,0.9343882842999988,0.7609247274099327,0.7476844639434905,0.8255832222874451,1.0433066356015084,0.9851202356466477,0.8393649314458175,0.6928199467643874,0.6740531971293467,0.9856387547315056,0.859176396044452,0.8595396020772543,0.7579672990234986,0.691414469578614,0.5107970451742707,0.44389213939994376,0.5262490674834555,0.4671690748788053,0.433610872167786,0.6312516899176838,1.3923375636882733,0.4423732359150883,0.4927397080883682,0.6549508724959928,0.8163307273685073,0.42714545397409165,0.6833450281005253,0.729274037457841,2.2470407493346456,2.961576924831255,2.946142106131294],[0.4448407993136046,0.2864026741044119,0.3456894852786816,0.36259960701683003,0.34820141161200885,0.34253114903219,0.2527036684576083,0.33361760665103707,0.2851349859957051,0.26071160599262516,0.32789540161008385,0.4420598489629911,0.2970458253133313,0.2746481254841826,0.4238148982292759,0.3700479733570014,0.330423429360517,0.35458651706129385,0.40223366816564976,0.37737711065723045,0.4593376740860093,0.4433188848810673,0.5672624884751118,0.6591057067576961,0.7214305510483333,0.5332416593770386,0.35815307429714593,0.32400441485873166,0.34490658115936307,0.3651826690051004,0.4316233483043914,0.42914101240790975,0.49514586796200466,0.4741740128847392,0.4204655006878396,0.3827885063927894,0.39374943634356663,0.37426627305093946,0.34637874550476855,0.4199062084405211,0.6979956685172815,0.4198416721888723,0.41058600724740013,0.5353176759743323,0.820102295061097,1.6242644186789532,1.5652465262564885,0.9645420044999343,1.2242240531394755,1.4894461982423752,1.0374754555488825,0.8725197259933125,0.7144917404683366,0.5588593197361416,1.2833678788577612,0.5913093939621615,0.5370969301390577,0.6415886859357888,0.8194327829557654,0.7178668642604914,0.584124278998638,0.6499862471222353,0.5273757463484382,0.6541298221418875,0.46513291990124045,0.4860575335227806,0.6717381975098191,0.4777020727013624,0.5724146342019434,0.5807597562251606,0.8213438493863155,1.1138965112247308,0.7772168710122318,0.7684601946638328,0.5834792881220204,0.9430688621110862,0.45877980110052313,0.4831205213764848,0.44044505646596455,0.4608279525191303,0.5151488798589763,0.5658967730157727,0.8660483941745444,0.44275738985860735,0.5046296947538554,0.39530157984815345,0.4137340808763251,0.5304210943716181,0.39296197176662784,0.5511576365543186,0.4671879480232968,0.708586669753157,0.5481577610262827,0.47626765812187816,0.4489918677626068,0.5485401314165019,0.5253697582810407,0.5083932489533823,0.49092601681562226,0.735912786561888,0.4899441800988794,0.6384191589496465,0.42256008913317655,0.5192272947918906,0.5401618072743362,0.5156544739074626,0.8462666888109958,0.4318441474056353,0.46464545979223904,0.7241706042661201,0.42092379333618934,0.33300935297409945,0.2667168348424852,0.2933123518664301,0.2725423185525378,0.2765036094880794,0.3506210383717697,0.3383723365221981,0.42641842496588306,0.39825595430395977,0.3828561542758982,0.32790918051773343,0.3499430987040101,0.28066674338114306,0.26276018782607746,0.30653395949555967,0.451043175095342,0.38530086347130704,0.3957847991939002,0.41484457476549413,0.42123886013954454,0.49347839147866635,0.41124099150980226,0.4699960756625167,0.44146606233766333,0.44219955231035724,0.6076683511733277,0.4099031472742824,0.38768151551146973,0.3438004659367704,0.48440574142338655,0.5052780287116578,0.3916080078398199,0.30793998213273954,0.28465425049872395,0.30773233403853223,0.26349325736776946,0.33040945606279976,0.2996035943722388,0.35488166018437245,0.43605939776575997,0.4753354792505811,1.0554171145876545,1.5754911151248443,1.1149804618096504,0.5558223396980077,0.43122807246601763,0.43355831219676483,0.3778125055933841,0.4071865993135815,0.3305112078698402,0.28417486366515954,0.29227075377222184,0.29501023605436316,0.4096840220558992,0.5370414095925833,0.459957055120694,0.6308443413232739,0.7049308598169445,0.6817392601551321,0.46342513790859174,0.3756352350059914,0.37617587645498013,0.35371221733088637,0.3123156856999031,0.3934225790506221,0.3858888600770457,0.7209796230734794,0.3770722987746543,0.480791123642582,0.5875748356263516,0.3813767684327375,0.40283466592039635,0.43160056511911893,0.4426598164072643,0.43485457920227233,0.42034604052025126,0.5903808927459885,1.0942493546329346,0.6949491616688636,0.9063351493190893,0.730674790159727,0.6298359781458223,0.6300966871007717,0.4483853464955282,0.49862961415971724,0.5255323577386862,0.4413367133990378,0.46686154302532357,0.5048621423787202,0.46882755898860556,0.5076434815647038,0.4502581544073824,0.4733811805769361,0.5142148960645071,0.4958955787430436,0.5576005491789396,0.5543302958737174,0.6043473901067069,0.5534721700392629,0.6370347771833715,0.6619076580365563,0.6330817258985492,0.7281585805559573,0.7835347954025025,0.7775402625367988,0.941413996895389,0.7816871514597721,0.6704110698540156,0.7276475623614257,0.8070426677000202,1.911808138263417,1.101987503252804,1.5145732292948206,0.6996411169007368,0.6696204333102509,0.7417250044727163,0.7925261708278932,0.7071705661478311,0.5791731594652265,0.6753007888470658,0.6672365634701185,0.844357397818409,0.6023086040830208,0.8073301304098857,0.7681862928554795,0.7268437815180845,1.0458772563484284,0.6137360137146082,0.5339979844057164,0.5856483505409024,0.6698232990367321,0.7901775225950807,0.8837358229241614,0.8519970711568379,0.753682109010948,0.7180881801645218,0.9374749951035707,0.7997973516300798,0.6751917323356085,0.8593311017006888,0.9513106460339089,0.727668437495761,0.7876930541241591,0.9442366094749725,0.8898731392861401,0.764989478971429,0.829311469175183,0.7415344246206854,0.7210717333960691,0.6612225404117411,0.6456679588620227,0.7116627323249671,0.6071990473845966,0.639587927592792,0.6288688532589193,0.6625097532892888,0.5630581416261521,0.6479490418985696,0.7699532788186734,0.7046120431719105,0.6667388759005679,0.7197923352916493,0.9713187946922646,0.799930337993016,0.7811093891157856,0.8597476011075482,1.0751457328562246,1.058827791210555,0.8664584001364375,0.7165428032350907,0.6884331862505475,0.9774256313400339,0.8777954059531624,0.894651219957995,0.7635405470911133,0.7112570087326848,0.5135080905054475,0.4473176911696651,0.5241119675547312,0.46554158187539474,0.44076325585780407,0.6335013259079159,1.4091808613394783,0.44584207348867916,0.5047404467138356,0.6563123259398063,0.8154144730612722,0.4356263178067419,0.6860671124986375,0.7491073737699677,2.126072926079684,2.9445116332515338,3.0794416713781763],[0.42501504053378925,0.2977970452015171,0.36321375402844674,0.44886213616705534,0.3712794662829849,0.34569478618588595,0.25235106717640965,0.3462748364329574,0.30698149974360717,0.27583284227919025,0.327709971816915,0.4316127709002417,0.3109933420713495,0.28789026898114806,0.41910398986996583,0.3704151674765684,0.3383427458537084,0.36926922350461483,0.4255507119533005,0.3943537855120099,0.49554791576901375,0.481454620857189,0.5451171578232175,0.6856543340073972,0.6761271376751286,0.5221323333348449,0.3752798024230688,0.3290619165388848,0.34993397240900037,0.3696378019425235,0.4300687390905797,0.4284814488173232,0.48414093281836607,0.46952529960900125,0.4144460715413333,0.387961091491956,0.3968397929101658,0.3914485628236381,0.3770791697433563,0.43226068816005664,0.7217655073371012,0.4271194470333697,0.43386057821806917,0.5403235565511348,0.8333640984995713,1.6051695509870563,1.560183395564146,0.9640882352855706,1.2151274947565571,1.467318757493491,1.0320630536982083,0.8797943924396975,0.6907063309048939,0.5444896188948273,1.2977735362099254,0.5944259503222571,0.5603053377580511,0.669232976379977,0.8156859106225172,0.7503966864403743,0.6048374514134601,0.6521077976578716,0.5414421940250703,0.6711364177048085,0.48483196048159366,0.5055738096589133,0.7112795401928531,0.496329610278196,0.5925836039785904,0.5930625724484501,0.8175245805812729,1.1003093584779278,0.7815376827350831,0.8008279115869116,0.5928540964529059,0.9748669878727481,0.477429832590428,0.4874862745449813,0.4433275375400507,0.47892382403467076,0.5100509306835826,0.5855523564856315,0.8838645038717502,0.4381242865814448,0.539475606004278,0.39470183985366725,0.42384440250682526,0.5069158607036088,0.3980622567178887,0.5565524832951294,0.46475834272261213,0.713490937482689,0.5433268808947394,0.46457950945804594,0.44200422953605917,0.5334416148320665,0.5119661465356771,0.49581575973551095,0.482338038006314,0.7563494845604491,0.4830723642116326,0.632924169266348,0.4197207044275121,0.5070696754629378,0.5140354411466093,0.5039568923519081,0.7747124598318328,0.39790784805480717,0.4414791923351817,0.7499123281380906,0.40640414184956725,0.3166463138638431,0.27536634550217515,0.30193544934650757,0.2807781721426892,0.30806565456425433,0.34664013496340673,0.35165277008232476,0.45152381677460823,0.40412863123928155,0.39939755632294466,0.3479911662079313,0.37268339708946885,0.30141015731008663,0.26033443472094425,0.2947125688284228,0.4301832701463912,0.35492793793032057,0.3551789126271987,0.4000880369532316,0.39182853831131087,0.4425686802830595,0.3817634119030173,0.4756360150652322,0.4211301177853035,0.43829202323374394,0.6076003770962315,0.38876258447435014,0.37603206025267716,0.3460777198299295,0.49868701449891617,0.5215850620238491,0.4058170413473367,0.32086592336345676,0.29434653678619177,0.3382834875411595,0.28143459784510727,0.3530462291844829,0.3159665152151555,0.3630062057851092,0.45449659073625753,0.5177261588514135,1.0711950836098794,1.6984515220866834,1.2716718020411193,0.5757634253632027,0.4320261815477697,0.4314232550263133,0.3890896458839582,0.410808835388996,0.3526383079479824,0.31714486535761566,0.31138774088145144,0.3180906342533788,0.4088797625716932,0.532934762238791,0.4637950226121867,0.6323738336514466,0.6884161251159446,0.6675628436631134,0.4528165300182025,0.37210016881489605,0.36388353169498255,0.3495876592557809,0.32136640388315024,0.385705790074529,0.38870641531376066,0.6844555473749836,0.3803432877074702,0.45652819001734635,0.5985124032484248,0.37200267780807467,0.3893765184815371,0.39227163923111336,0.41104783952124835,0.42016357228778856,0.47261897949942006,0.6019226869307045,1.1511344971434834,0.7294124112431473,0.925865791206669,0.8189190664862287,0.6724680916944523,0.6882044553211402,0.436729994157632,0.45696453455191155,0.49377883255582766,0.40319079110395156,0.4237794908958401,0.49419781344639324,0.4272432296893388,0.47957711940090164,0.42514690606988326,0.4379335154874371,0.47991082859115414,0.4770065688453805,0.5176685334559646,0.5095556404252854,0.5722536150780144,0.5224247726568021,0.586057042840713,0.6155388721508783,0.6132089758602634,0.6916259713017671,0.7206871052562546,0.7210318676589321,0.9178855525997923,0.725494388873319,0.6034677233700604,0.6664433253163997,0.7396763811429272,1.9086436417263977,1.0598955817062716,1.5301474285969934,0.6652059067789292,0.6245442582725893,0.6966985308352177,0.7554585368019813,0.6302581193001178,0.5127896019683479,0.6255715783786703,0.6249490309489321,0.7868005862278789,0.5432259110596458,0.8014674895254468,0.7096814888166354,0.6739293487001612,1.046050786577667,0.5455553504336133,0.4991993666837926,0.5707650120438724,0.6419206127181627,0.7888010641703104,0.8413988343210885,0.8428645154990612,0.7179156504762744,0.6822414543861188,0.9111417417150338,0.7759502783246625,0.6584615528465141,0.8381852439270223,0.9270380478420878,0.6997924691274655,0.7482281107853807,0.9114182044921322,0.8480377086853537,0.7299011668980199,0.7809183736609401,0.6892322897884137,0.6649223089612679,0.615132805992397,0.5972416942312705,0.6459961351779046,0.5514593923019696,0.6055406114146051,0.559986213475013,0.5982882222688125,0.5184331754735525,0.5815753489629264,0.7189069376513988,0.6583886849761236,0.6099175938957828,0.6630671604100309,0.9226219396846275,0.7582971999558967,0.7240070631456537,0.8152550735051564,1.0642076857393272,0.9745608454388713,0.8068116762399431,0.6578417667949065,0.6113233505580866,0.9073928199780799,0.8013035068357935,0.8265661777277009,0.719734155375388,0.6417332725000081,0.48491956548323245,0.415931762108962,0.5110349282568871,0.46639234947749114,0.45063487480068615,0.6431725670503174,1.481381473270374,0.45856390489535054,0.5301515731323813,0.7275756715863085,0.8354129443132999,0.4819829791674086,0.7159150127457703,0.8261378502761934,2.6835686680806825,3.4972860898503524,3.5249714166424253],[0.4047452054382003,0.32510216966371563,0.37650863454461264,0.47278182538258456,0.373326440188152,0.33756931301069987,0.22531720583722378,0.29960619361112184,0.2714223666291991,0.24547658193373767,0.30462200430438413,0.39652579449230335,0.26806722859923365,0.2615564863094954,0.3861823300306727,0.32923076480373986,0.32304024983204505,0.338189175947891,0.39927385102873486,0.36460977513247234,0.43967628302357264,0.4308262432550767,0.5581007152942963,0.6491270890564096,0.7129639549709695,0.5217725519014087,0.34298197669656144,0.30042749281951636,0.32354911068763026,0.32963887694207783,0.38855332419528565,0.3834177608026027,0.43709917921536906,0.4203808706271652,0.3646987314879517,0.34418068637777127,0.35049220650089336,0.34784866015383165,0.3288396798565357,0.39792605569188144,0.687237516731886,0.40579261650940535,0.3949489655355283,0.5288824329023145,0.8151817759559199,1.6147404590532395,1.566026283255755,0.9455716965734371,1.20870583019703,1.4869794429165566,1.0435546530638566,0.8924053822760419,0.7161258184553384,0.560480157077126,1.262749962994681,0.5503367902930398,0.5358228167335667,0.6154147785214686,0.7681665388924874,0.7270730782851593,0.5768738590423734,0.623248051806448,0.491915412241569,0.6306994282889761,0.4523447696083582,0.46312291116242804,0.6595455951211912,0.4646314433278338,0.5628611032381579,0.5709878609181606,0.801800348752124,1.0656860102487342,0.7541257233948027,0.7579303362307515,0.5563943754415509,0.9242785941752131,0.43130173817078393,0.4334459410697663,0.3983392394246934,0.4308802593196784,0.4698296142852663,0.5609770253670942,0.8250946045434264,0.38601130188284616,0.5292006404182372,0.362379446061008,0.3837543084111398,0.48762806349607213,0.3593726551357827,0.5060880580482363,0.42213427818165156,0.6801486713704993,0.502200518992841,0.4085254525622141,0.3941064804018589,0.4866978355535744,0.4788333361906528,0.46263665116222963,0.44290085202418705,0.7192013844225007,0.4388968825027845,0.6114436203131991,0.3833174194530298,0.46378526697261446,0.4841494454927774,0.481267448509026,0.7402072865805557,0.38632661951931824,0.43148877676453296,0.7372942401867687,0.3932801685207603,0.2972962844163485,0.2412194699496093,0.2691529727255961,0.2507542046737848,0.27208987429829046,0.3236182608488368,0.3348170537897309,0.41198918029347964,0.37658398395835907,0.3674872555511692,0.312217420825745,0.3432427434124575,0.27600634644290656,0.24259860280900455,0.28298185677807797,0.42273705217164037,0.34905458004589895,0.35061649237371745,0.389115972990487,0.38600157054782697,0.4387331776234111,0.3801244515103694,0.45522048332162757,0.41764709449562487,0.4361421297263951,0.5953980967501594,0.3804403372309987,0.36597299725459315,0.33070655414101496,0.48301438663763735,0.5013971885483585,0.3815075340139574,0.2956930446488297,0.2674251568961073,0.29294394942245894,0.24201880545596313,0.312997676532853,0.2683644603016359,0.32539339600964323,0.41395607213572283,0.47033003700696513,0.9898878756307645,1.642072559419937,1.2710234874380983,0.518778460793118,0.3848106497440676,0.38849114628154563,0.3398370078090841,0.3635313069672129,0.33283084337631125,0.271933472881618,0.2812542608467308,0.2895787846036873,0.3997386767303403,0.5265503781590052,0.4528847090540871,0.6205647427880863,0.6836470010310713,0.6582740280920207,0.44498224678766546,0.36059171858101696,0.3582761347968585,0.33817491965753793,0.2853228744010684,0.34951455556506855,0.3590111581251999,0.6464369081399755,0.3374742235551504,0.4245518124538323,0.580035520157478,0.3497426660384369,0.3684662981820087,0.3915607125401141,0.4083727759671547,0.4100325998317098,0.4338627650832883,0.5811982492965916,1.1231654378938898,0.7169452556646686,0.9117159540485302,0.8030479230216209,0.6692578328627423,0.6826257451811795,0.4343743701950131,0.45695254652595635,0.49149386907827397,0.39964387929096923,0.42185187271541014,0.4990532585537725,0.4204881151895053,0.46196274249020297,0.4190531124463498,0.4370588130147084,0.47351388366929986,0.4757537637457294,0.5270337786225572,0.5087650978959787,0.5639476271222248,0.5239668581676584,0.581056733148466,0.6069304706080981,0.6144911810117757,0.6926857924726366,0.7001298888214148,0.7124659683722436,0.9086858600034607,0.711163773389014,0.5930331449624963,0.6503177298521639,0.7190810187049836,1.8888753784362156,1.0492121063499094,1.5280052820755716,0.6537297924503102,0.5945354440831873,0.6669413325059713,0.72113857259338,0.6028233925827952,0.4910049869624192,0.6048818210340883,0.6124248342860467,0.77022353119212,0.533671066965804,0.8018375754772472,0.7185102092323954,0.6806512748510479,1.062182736304478,0.5451120590536093,0.49343410720801767,0.5479239728103839,0.6171922051746617,0.7589902663316523,0.8037730161600433,0.8085177187013174,0.6841187160412576,0.6485774071522286,0.870568911314233,0.7441997873380406,0.6309818335534625,0.8045304010999155,0.8984283511794681,0.6822247021658233,0.7181603867972646,0.8773785059155522,0.8293755076334461,0.7092649326016573,0.745290215485483,0.6644522018874688,0.6326393341393312,0.5877708333615408,0.5712725703651521,0.6170721297101777,0.5366767390684294,0.595495744098744,0.5430001641198232,0.586082378499579,0.5165479400395385,0.5712785347966053,0.7162199929770549,0.6626154401440824,0.60997397321509,0.6625940223902805,0.9143979952517246,0.7601659990934267,0.7178740040957974,0.803920546891607,1.0649633395647529,0.9419003787924288,0.7935668345275376,0.655632633760518,0.6034180280814138,0.9088807407758834,0.7972291087187643,0.8180183108855708,0.7272714418456457,0.6443944785951666,0.4910741178303191,0.4088452501294086,0.5051731960980566,0.4662190808565949,0.4422304389864469,0.6334549513414477,1.4488476817115008,0.4610083737387186,0.531760326873328,0.7185259125480957,0.8325140009761969,0.48312730495045414,0.7107424912552573,0.8284168860821416,2.6896229465707533,3.311797836342352,3.215067700694566],[0.3747106862187963,0.37746928171069144,0.4078129889534658,0.5048955177867499,0.4017524646553865,0.3353492478296021,0.23861351955984328,0.3117259668853215,0.3010005855462316,0.26328534520575675,0.30761039873044066,0.3755325831378191,0.2829492796329922,0.2863047357817269,0.3739674461570884,0.32519565208507134,0.35488835059844187,0.35912560172032354,0.4261392890353443,0.39082866468959676,0.4863777127279427,0.48073867091178857,0.5802026230412801,0.7029381255219623,0.7428442505344094,0.5640802643432269,0.3953714246304642,0.34030654544589317,0.34493872609019544,0.333075523219111,0.40650461819631434,0.35432954533759686,0.4382078402111165,0.42310491107829085,0.36095020113543347,0.35112785930642165,0.3499928232576514,0.37136900426310127,0.33767544401770205,0.3839647281149852,0.657208291782973,0.4426740659912968,0.42577293418840095,0.5780262011956072,0.8291597908598138,1.5924663473456488,1.590786584950231,0.9688454266695556,1.2080222504826545,1.5320529098959053,1.0942477475972792,0.9414108852414724,0.7549738322685267,0.5997298364101484,1.2332232601902393,0.5427183480127267,0.5746570023291757,0.6335285550364462,0.7339660900322694,0.8097529119065724,0.6186244677435795,0.6415524637075436,0.5118413070458591,0.6430843783976196,0.49344347908861486,0.5008696073470189,0.7001430971069802,0.4701442706220951,0.5737816335348614,0.5905782692769151,0.7995140271671888,1.0469768864098876,0.7637186399586025,0.786156160962288,0.5694232649675578,0.9500287205370376,0.45593365587044377,0.43223438640068723,0.41350115263667964,0.4604161579240088,0.4610864261566481,0.5854500010506885,0.8327382941215989,0.36599051163334434,0.5694616853150264,0.36681913982665487,0.39495310615313345,0.4988125070876829,0.36936095717242334,0.49827945884362856,0.4400979793251561,0.7312638187818521,0.5276218506475688,0.40736445850784236,0.38535289834758296,0.48737253582716417,0.4673134076169262,0.45315569216360596,0.4206383823279306,0.7354197813549812,0.4154466625345181,0.5961797349133832,0.379417792125165,0.47276276047547133,0.4705144497968332,0.47431487467817457,0.6535185868869616,0.36617205595438057,0.4026445080327881,0.6900121195102956,0.3516043440228529,0.27892769790548666,0.24980986935369895,0.29388515773289114,0.281320397080828,0.3225216278717631,0.35225062266279283,0.3720981639368978,0.4518363711379016,0.41210082129605885,0.405228476745037,0.35386310182954755,0.3995853708092673,0.3197055259848205,0.2764115036379221,0.289820468471092,0.41019466115765335,0.3288959317174979,0.32965888370686863,0.3751476167559792,0.36067887334787946,0.39180549253971564,0.3668551399305763,0.45846767409193967,0.4093668517188956,0.46208992567350693,0.5790346998751438,0.39640567249172387,0.3772442486941438,0.3575925979299904,0.5073146781569283,0.5536079780735128,0.41988642234736495,0.3360141261966298,0.30395773709891966,0.32887838440327793,0.2770594861196208,0.3211289369901152,0.2950681796534313,0.3514665071560348,0.4151183397427562,0.5042264030077087,0.9457775525716083,1.6679642944456283,1.4015194503773063,0.5265178734837741,0.3783247458994846,0.3964923757857679,0.3309352483150136,0.36216391948411525,0.3576661317329323,0.2940391134704353,0.3111944536881199,0.31391541536335593,0.4133731687282667,0.5602923936025637,0.47986910423743784,0.658064103081544,0.7000253616681326,0.6718553441541633,0.4628650749411645,0.39890705769377355,0.36836981564810567,0.3444188834063688,0.2897984511896767,0.3631977606940222,0.36758788941689136,0.6189585712565113,0.35108606165264394,0.40034185632027586,0.5994453850508951,0.3542040733074705,0.36268879398849085,0.38066296003527467,0.40014123010955477,0.41014688945380146,0.4632349855567646,0.5712052435870072,1.177135002628783,0.770332542766025,0.9731599986621022,0.9122073746238883,0.7178546865665008,0.7267982208216389,0.4565577238635627,0.4652908689808529,0.48717765500426774,0.38623489850777476,0.3895342395146217,0.4733117762760431,0.3868389381363204,0.4259689928996202,0.3933794380704226,0.4124887894869661,0.46485568822452605,0.483031033339339,0.5144156961629125,0.50900019607022,0.5719963422062465,0.540923088351508,0.5928123652805325,0.618454266130442,0.6382476051017527,0.7023396232739587,0.7174520583002513,0.7354724773538523,0.9207577122791055,0.7128299779242114,0.5812970287233237,0.6511357310243095,0.7154009805508149,1.8264232053059035,1.0619915840018341,1.5033192290814377,0.6390409251989193,0.5726935617236363,0.6330335797162489,0.6883979907260234,0.5628217145384408,0.4673658882808061,0.5938737816913279,0.6239957230064572,0.7590139149099846,0.5084630657650425,0.793924509948201,0.7090120848799538,0.642681607441066,1.0489531747738734,0.4643060072082554,0.4541261544215217,0.5322534339704479,0.6176267790312865,0.755589142393218,0.7841734207826432,0.8089226262198581,0.6640026846606609,0.637873951228259,0.8475126335089368,0.718692736331034,0.6347557871118518,0.8058678117897686,0.8990796373908118,0.6932329317251481,0.7181750035201127,0.8696242337498794,0.8342917814141563,0.7141828478125809,0.7427361939349676,0.6641670012169784,0.6301739062544397,0.5770256728236324,0.567162673743607,0.6112594874638586,0.5301021884145697,0.5781440686944074,0.5169573422543301,0.5679582860325856,0.4979907100488982,0.5478707906662922,0.7246379085264023,0.669596625595177,0.6049802745894604,0.6634755240281993,0.912268904041731,0.7720902650467627,0.7012948412503361,0.8298512786777714,1.1144088366288467,0.9016573325222933,0.7883305182815606,0.6457107284958599,0.5804632087140184,0.8697250410556395,0.7439188450484223,0.7782350403179578,0.6839004375593786,0.585522958240405,0.46296963432180527,0.37352011747842,0.46853368086254943,0.45481151352120736,0.418744606675004,0.6126609413079019,1.4341456254501268,0.47158771481683287,0.5445480200883884,0.742179159381266,0.8345089465852753,0.4929272890777452,0.7234207681417628,0.8932262376261292,2.823342756720984,3.3579753523547966,3.3183089006491437],[0.33517397802842885,0.39270920830216993,0.4131199517208018,0.5283345963643163,0.3754052981849125,0.28893166640867934,0.20763048265346176,0.27260548294255466,0.3115713571241056,0.2521720479317326,0.30062245184305625,0.38975083187437076,0.27588610660798885,0.28713434892212497,0.36874215808718513,0.3177925232446068,0.37512085537724693,0.3594880935710133,0.47434164453344774,0.41008482019944476,0.4630967604977393,0.45811405320276477,0.6302731649428707,0.7311487238914057,0.8518320444690998,0.6347927910202183,0.4123142294606645,0.34322937202296644,0.33834552674440493,0.3319673286290457,0.38883761877957695,0.3559897346105837,0.4398536272119353,0.4342249360411603,0.3497148318372465,0.35201718909148216,0.34348746296157107,0.3936010154247388,0.3398918433062782,0.36341262092170784,0.5776670497353693,0.49736444809305264,0.47096087068047215,0.6894073069134612,0.8728235478175802,1.6023942716005535,1.6834868376445282,0.9631971428700489,1.1919385458504046,1.641410409308961,1.1992462700987427,1.0802490569525631,0.8598149907751552,0.7077727306187401,1.2163226122943094,0.537653773435747,0.6143867206966285,0.6596266297335206,0.7265695883904557,0.8678742331067841,0.6485162958923042,0.6358714188594061,0.5082209557034644,0.662170390286149,0.5046672425402706,0.5193265405528171,0.6975528665060963,0.4786256008953479,0.5908983995962447,0.6169343568603867,0.7593854932883308,0.9720031521222545,0.7571028539329033,0.8051959730975837,0.5603813902978823,0.9420316134400617,0.47112566345061063,0.43219171156224023,0.3929511872276846,0.45410334996542073,0.4532063103540897,0.5490076139047828,0.7608459614137564,0.3735415636529906,0.6532001288169894,0.374166910332413,0.3941814729304246,0.48902999461756136,0.36996820526081986,0.47238137698392824,0.44434193394306576,0.7166634951445942,0.5175333969387228,0.394991398177477,0.3726704849531659,0.48070375205178856,0.4631541866540802,0.4691898999952277,0.44881824113465524,0.7619174162153843,0.43034576824279275,0.5882708887191594,0.36509863211894783,0.4010787902679186,0.4248280666275345,0.4466248893398686,0.6006524699682194,0.35972529793795743,0.3657857916251455,0.6789779950777954,0.3258129815062121,0.2538185679192018,0.23201993658626915,0.2671134629817067,0.2778665951884792,0.31473768916459655,0.3369111858108495,0.3742775446503523,0.48409772580090554,0.4245584365015377,0.4203104190939583,0.3544571659212846,0.3950613117834174,0.2882776344964146,0.26362401393910195,0.27100651172358986,0.4073570410356989,0.323649821198167,0.3132575527446985,0.3570965212893687,0.36070130243421544,0.3837593686273989,0.3651454254051465,0.4264507761380308,0.393008271885067,0.4522482659530825,0.5456086081713748,0.3791058773926613,0.34462180619905836,0.3487591130767753,0.5188766592003586,0.6006824861930564,0.42640380163256536,0.32691282924111886,0.3058000821077166,0.3234585780714643,0.26963061823018436,0.32730833879692295,0.2624798816432219,0.3313942486764163,0.38982314881205193,0.47190720600285607,0.8368796375707506,1.6231019625941678,1.4392284700152147,0.509759226969006,0.38872886027802583,0.35820640160646955,0.32255753902211465,0.3074000761438634,0.35040195154756626,0.2931807679618665,0.31699240216001207,0.3290163018406974,0.41095542360991033,0.5465724349225113,0.4753801179891665,0.6820748334727728,0.6924200758012734,0.6545639638418007,0.4426545630420126,0.3844764256064635,0.37872354557127424,0.344005387204613,0.2886432724711093,0.3359455085520889,0.35145669934207324,0.5293255714430211,0.33269566388948807,0.3566623796461339,0.5727950117684064,0.31580049563507784,0.3560384789530279,0.40638145554871385,0.42428343029242344,0.43734919297045155,0.4559663849387049,0.6148618840552764,1.2027720115699756,0.7999107134783384,1.0220664959474786,0.9370640419750768,0.7208227578241403,0.7220873452531368,0.4851024467704795,0.5210385490023469,0.5235339220948763,0.4210488723699693,0.40108259292557097,0.49737348449003466,0.3727096458728837,0.36745487426183526,0.35767075265928183,0.40672487031543175,0.436487573282346,0.4647736574027651,0.5255004896129448,0.5191373763542744,0.5480207298834612,0.5402336431961641,0.6075728874206704,0.6236900964256347,0.6349595879819809,0.6998883926407211,0.7347702095619912,0.7600095299691642,0.9286658370051535,0.7213835068755808,0.599618695795817,0.6507095075665249,0.7272503647060125,1.7082468373534068,1.0505573615852883,1.4592661841356198,0.6357551749215266,0.5382776048624055,0.596707037826652,0.6196392756403054,0.5619613366296247,0.4592573042429064,0.5743009343140143,0.6423082093421365,0.7702197424660074,0.5186102427019902,0.789614376186811,0.7855621080087121,0.6870941426606928,1.0922646985827178,0.4761457903438904,0.48079724237597127,0.5090664590970343,0.5807723813417867,0.7049773968012699,0.7324175552780958,0.7585438844658647,0.611490016148187,0.5757916948790999,0.7756673097946202,0.6643512903394365,0.5873418736888494,0.7559794380090237,0.8577202951209348,0.6678524116766159,0.6758545741393553,0.8270179334241012,0.8212153067775022,0.6860185289356919,0.704705309908071,0.6374808858558244,0.5961676158346386,0.5370286823318509,0.5300712809732265,0.5806897986928476,0.5141821662754343,0.5486107476882608,0.510670939368593,0.5688064862945869,0.505723707988134,0.5682817661502747,0.7518393104715521,0.6942509935770329,0.64575405428314,0.7022500614005385,0.961043344906745,0.8273722220179539,0.7382959737003186,0.9111880756179761,1.1638747986132243,0.9271318997640834,0.8025186697119792,0.6492240213099368,0.5809648431600988,0.8409804266675979,0.7351939047299876,0.7949881023206804,0.6891248338296415,0.5942099159333349,0.4581849043948815,0.36309640386231,0.45073551431998476,0.41814995213667455,0.3852793669372057,0.5710047038308544,1.3671114729129328,0.48565453232436756,0.529012534821018,0.7039045960497753,0.8815644979836829,0.4571565746798951,0.6835221290273291,0.7974580444640499,2.5707647847725514,2.9051291826399543,2.783138972707272],[0.39489978942924364,0.4394680565573777,0.46148138649874576,0.6353598828030675,0.4231437126207663,0.37494700719602386,0.31672143381512124,0.3191374069741297,0.3498234001685013,0.2906734254324378,0.29488592997777396,0.37575379610838566,0.28905485397539094,0.2897215102167291,0.37191059165920726,0.31758613823185255,0.38438390371035625,0.3601185847748588,0.46972084382647766,0.414398027641285,0.4570917445899671,0.4699543727324112,0.6373643270968877,0.7293492722760426,0.8469585845865681,0.6350130048803205,0.4412519186865617,0.36607364504696016,0.356173661504204,0.34969679192351505,0.3750215254111276,0.34728611233318063,0.43708544083873313,0.420717434856465,0.35932665392073954,0.35983609827596946,0.3675121948623531,0.4296010664238328,0.3733746675988422,0.3956551003540745,0.5838055804425416,0.5270576756883897,0.5067056975747687,0.7168888117949926,0.8828021338689742,1.5966674998540393,1.669986166818035,0.9893476711541087,1.20335843981685,1.6311333370467822,1.224071326759362,1.1048000553594466,0.8886105885536234,0.7395741639158095,1.2299670084385366,0.5632452323535508,0.651022845690772,0.6806626802141675,0.7334657610858423,0.8947796403349224,0.6713868327091072,0.6459555664428545,0.5007055461029971,0.6536870926236309,0.5165139807755024,0.5142674898757555,0.6769047470590857,0.4724156665936711,0.5826795329922826,0.5972183025895895,0.742164272565664,0.9340172978064082,0.7117773161332108,0.7883066651112096,0.5251638906105924,0.9060163806828878,0.4591669840445588,0.41147882874979724,0.39213110946461677,0.48242474978571154,0.46769400035927666,0.5827815038228896,0.7776979009552261,0.42739731750002485,0.6957257320361361,0.41792615186344567,0.4248526586096621,0.4949934680940127,0.37806317657166894,0.45900430375686146,0.4331659638414997,0.735715424534121,0.5162725089780552,0.383177382961714,0.356450915352457,0.48646290146056287,0.4778179185420988,0.4609956666938548,0.44398187718762455,0.7223383150276141,0.429850542465026,0.5864369558339702,0.3788613517180741,0.41277060343863015,0.43826274884569427,0.45114350911479234,0.5695680408351931,0.413924517381114,0.40653173120916786,0.6944060113682794,0.34327543928938375,0.3139844320008652,0.31247406069753564,0.3306078147733824,0.33043397724325146,0.3623753835047462,0.37070885503842627,0.38527006804450326,0.47475982571413133,0.42835088645893826,0.4123568117528518,0.3762305370307518,0.41072854289221594,0.33470666826976864,0.31736199732722736,0.3210916157523011,0.4416409407016759,0.35771286298568017,0.3623586356547449,0.39768557756631445,0.38040619953689847,0.397629583439376,0.39733779990025236,0.4661305443293195,0.4195045546580029,0.46747079141316206,0.5472162983082101,0.3802737397026958,0.3591987717100051,0.3830381069653379,0.52309543734844,0.6012928041936816,0.4418883101655072,0.35983342354930725,0.3385849296737151,0.3507109718834438,0.309442473707375,0.3700342774599991,0.32261362847063485,0.35229936200835493,0.4217356682970419,0.49637171088749954,0.7656779093562172,1.5512669134758712,1.4883289190206708,0.5270481406561555,0.41151233412951727,0.3757137210421628,0.3353665572347549,0.34463487054856223,0.41058290321004254,0.34533351463065326,0.3558662193016107,0.363080650079213,0.43196603360389896,0.5645924719278668,0.4864894992253765,0.6782868140274024,0.6718745907850417,0.6378157890403264,0.46066976638452894,0.4052244034385383,0.39824475137889,0.38382678170122825,0.3427019336083996,0.37411244762302853,0.390470873038379,0.5330515494731425,0.3927877912667089,0.38770790348983325,0.6057306463986025,0.3532304497815434,0.3964177936377874,0.4336123972631888,0.4541001300632211,0.4614712587124578,0.4907466013579606,0.6450489269955966,1.1841636018159252,0.7951532083002962,1.0325312935120459,0.981360764488685,0.7329325885851163,0.7489089886639985,0.5116641994307041,0.5081344485853282,0.5099881117829459,0.43225381225575216,0.4367295274698986,0.5308873807174898,0.4080408829767449,0.4070671328854043,0.3986296608557873,0.44225738551823546,0.4724607504485105,0.5113180284699498,0.5492048719583279,0.5336611392893915,0.554260459396348,0.5564545686634927,0.6114062294635718,0.6163330027803089,0.6358519817524523,0.7097631270908668,0.7189820027443535,0.7463989609721129,0.8913952193414895,0.7003046191376244,0.5832306044973427,0.6297275316439871,0.688136689499375,1.737613588665737,0.9989615298290442,1.4362977280638867,0.6574537539941913,0.5536045213231998,0.6119253833714947,0.6380996688549345,0.5509875784623463,0.47163160004556215,0.5769642020179107,0.6527357513054715,0.7243831607577188,0.5204358412956963,0.848484215324504,0.7302592367751839,0.6803570632541679,1.138716338954787,0.4927109248769552,0.5183223763237067,0.5422610401491343,0.5996958772927511,0.7334392135019131,0.7552525921151726,0.8189842020205178,0.6422117544278575,0.6047300866666989,0.8012478424247297,0.7049824658839278,0.6002824453305082,0.7497351567724669,0.8394622002339193,0.6573007295205026,0.6627391374884642,0.7949273875015065,0.7913260002924574,0.6776787060559438,0.6807130900467291,0.6221891300478727,0.5890736436682344,0.545460115465061,0.5325120788790935,0.5557501846356501,0.5068839648546297,0.5395140102068806,0.5018339680662144,0.566522965014276,0.500532242412735,0.5457713854167554,0.7423354961389288,0.6998718045292415,0.6149023152874987,0.6832722759978092,0.9145316336482527,0.8124646057740825,0.7078076846840933,0.9432866121364958,1.2029670583308245,0.8982012870652794,0.788978768494911,0.6442496638663284,0.5816332647902843,0.8452426124985342,0.7090422717131952,0.7590983294428937,0.6900500783249979,0.5649037042757763,0.482545088463955,0.4011567452540097,0.4748829898541212,0.4503599466370318,0.42819375279331534,0.6170560547561157,1.3833044391507765,0.5531472485354476,0.6059200495391965,0.8009602964118132,0.9715882622688924,0.5138661389196727,0.7256825471896694,0.9690974633633527,2.854943248787369,3.2617610008546802,3.431090654157283],[0.37938792167678514,0.41116660182318304,0.4613610744010915,0.6069806172405763,0.4473242522266271,0.3705430731163468,0.3365402719954644,0.3241382227031754,0.37646795850524434,0.3580001203593702,0.35954868184783867,0.41892867880599427,0.36264533161282625,0.3800137526707113,0.4890562918508973,0.4010318102570916,0.4587083385423846,0.436350485815668,0.5615354299441574,0.5010336569315811,0.5391151255996289,0.5436009031363641,0.7189230787619971,0.8058776395551439,0.9629074082214898,0.7243347057670492,0.5354700113289586,0.4500207833654106,0.4228055332974344,0.40996209531599387,0.4767754627705653,0.42064958765938604,0.5302214307165811,0.5212069705126915,0.443207390761055,0.43679770998612744,0.41943543091826596,0.5080357631439243,0.46401579963125195,0.4450650530594162,0.5889670726058468,0.6117365492606011,0.6195876714997017,0.8759240412789662,0.9562618520353758,1.6156406907129248,1.797582156951072,1.0639245121675716,1.2817629594168465,1.8117217141855402,1.3861119424459196,1.2829788283996324,1.0628374619578214,0.8934032400591566,1.2636110980752349,0.6835297578797058,0.7771241099649012,0.7963279924940102,0.8015923787777315,1.0363876901036222,0.7579875433838793,0.7081856458889728,0.5752808075561416,0.7106667348370578,0.5969222756604539,0.5810094699118753,0.7324373355721168,0.5266218528988004,0.628171664451715,0.6677411286595801,0.7320108838107363,0.9080576235785057,0.7401202203851375,0.8537215311547113,0.5724721689053583,0.9531339679893327,0.5405237882432911,0.5005240527496083,0.4804771409088351,0.5745971310028051,0.5011128613686721,0.6248317353658451,0.7641231610752209,0.569172142009541,0.8364638408768164,0.4967840426208377,0.4889715569131932,0.5352819255732033,0.45960865048818283,0.5255309385299661,0.5087997569264217,0.8525357618428755,0.6563511358566045,0.5092106687385622,0.46882443668760637,0.6206692031113905,0.604112638148299,0.5301638868584441,0.49559294994102926,0.7210233353860485,0.4660669463868944,0.5765289408930744,0.4184244526413425,0.4262186759654105,0.4680258396966167,0.4798107152465981,0.5332896156552691,0.4574919227509559,0.4135684520385558,0.6587100903961364,0.3679283418775422,0.3467716028785821,0.3435523132025544,0.35557344592558227,0.3781728197562141,0.4422398365955559,0.441825645227024,0.46371195060993553,0.5886531572007825,0.5000128665479826,0.5304930618842777,0.4594844283575116,0.506162583238762,0.39324292106297914,0.343297462579634,0.3684089232802368,0.49791981002067415,0.3834475534146028,0.38926463178505,0.4639204798745839,0.4229694053417053,0.4436917414804897,0.4744428223095519,0.49468220548456543,0.49087149906038346,0.5566730547560877,0.5282753207735725,0.4479864248442181,0.41464590944629365,0.44178823877352796,0.5867146422504552,0.7386626487377249,0.5132098980612823,0.42737681757403123,0.4261232524759689,0.43007798642493505,0.3899355255012742,0.4241357592032952,0.35718178563083014,0.37946290513769165,0.426451311675789,0.48529689990640645,0.7282262763458827,1.5243699327212834,1.4961091863584763,0.527847164233804,0.44337885498965796,0.38917233531380274,0.37134695886884955,0.3691225987319833,0.4587421538245569,0.4086376551314003,0.4196982746221513,0.44987732588159923,0.5062887600572329,0.5882529973192033,0.5309621377043404,0.7145111317822381,0.6758363103688113,0.6231470201041784,0.4846960990142555,0.4687597305441097,0.4696121644334216,0.43687043776839923,0.4157585103023945,0.4441977948220329,0.47021328897916104,0.5442465197776032,0.46789350490941795,0.4290973374044473,0.584781185100238,0.4010518893139283,0.45434172475427603,0.5240397159669944,0.5211214178493289,0.5345118467058557,0.5372586661898548,0.7193438416312548,1.271828952296989,0.9113694024592729,1.1018742666197079,1.1101479084331958,0.8300749592763538,0.7919063938436757,0.5868229716799659,0.6083956663814446,0.5660936848822797,0.47926042197108826,0.4361850877885019,0.5469365408478437,0.3960335283561936,0.3855471251494813,0.38170003127565283,0.4166265107710021,0.42147907187421807,0.4653459318133654,0.5529223477916617,0.5433211065497432,0.532778256437918,0.550088387652757,0.6221953904540177,0.6193048172572633,0.620880622723198,0.70137543581683,0.759512981862118,0.8094117819865748,0.9060000382072483,0.7504974681663927,0.6217271230804453,0.6492054040884673,0.7209190142142606,1.6666861919085727,1.0208192352851426,1.3163308857438383,0.6130584454471754,0.5307261357388638,0.599236019840943,0.6249766989303974,0.5712946854973556,0.48240407597016227,0.5575699688853801,0.6675400232550522,0.7279426878862225,0.5200600496820498,0.8946192682333888,0.8483406655108188,0.7387119581509144,1.2120697932409112,0.5004732521913285,0.5410973665681523,0.5237619579222375,0.5717005223823105,0.6934950057840455,0.7113577640605461,0.763352323098281,0.5982650422609993,0.5769928067952238,0.7442439556367613,0.6662860487094513,0.5685010874784199,0.7261538153094136,0.830931947752978,0.6445141164241256,0.6329841418795572,0.7735960086256852,0.8033784074869834,0.6519428190654545,0.6525919985154462,0.5919430375825985,0.5547244571204263,0.503630583280079,0.4972984695768065,0.5513619075134079,0.4977789438611798,0.5025089945227796,0.5086880897671275,0.5817644453059204,0.5055748008361246,0.586043814933771,0.8035063157442643,0.7368950836429388,0.6768263755719678,0.7700821864065377,1.0020061439841024,0.8921142792047918,0.776683666049103,1.1039002150789898,1.3175846112604788,0.9648918939463943,0.8515361393540035,0.6891764583406735,0.6346600394120125,0.8917839860637601,0.749065701697178,0.8208507794859631,0.6774828163709562,0.5949020036532932,0.4671065309507777,0.4015602898520272,0.4618308435231968,0.4473428989150804,0.4025435791700602,0.5167200704143026,1.2803329411456006,0.5150294143887316,0.523464257376803,0.6732131831694832,0.9095282348188232,0.4389654508544078,0.6538288747452456,0.7958079655707733,2.5272359251555025,2.7854326757175185,2.8620206221380315],[0.3807750298776749,0.438380881861261,0.5043079903786383,0.6335320182983895,0.4711448337833362,0.42817257903818123,0.42660315281248146,0.4292989530280363,0.4485397882362705,0.47654163912853387,0.5094786070227519,0.5569319666474299,0.5182137852990176,0.5300475892306554,0.657393615354793,0.5691616965746826,0.5597307589605037,0.5438418246326358,0.6285048241854025,0.5907741745693281,0.5934990694988,0.5983245210691923,0.7153224639658494,0.8408929647225873,0.9385961799523033,0.7516346771543035,0.5940716028413386,0.5286213794258666,0.5322170195304272,0.5398145896725252,0.6219556577974693,0.5663393245586025,0.6963344783935228,0.6678503714431963,0.5842409132649471,0.5598546491279285,0.5552227869366894,0.6020382061694304,0.5520169130856276,0.5394276091289563,0.6445490534446272,0.6613769117403204,0.6685274738938557,0.9067666412516748,1.0018656227861247,1.6452642237064852,1.806426692819372,1.0903536728704992,1.3200223598090297,1.7824496228236444,1.4038571986298247,1.3007296211104724,1.0644175495211738,0.9271497264035906,1.2979923742027077,0.7338018361875291,0.8090256402035182,0.8238460284066155,0.8271150876981749,1.0849214999350645,0.8149422826535022,0.7811565507790006,0.6566281333502463,0.783556991886182,0.6597779838571706,0.6586669413161642,0.7833381332495098,0.5991057431059338,0.6848704551905777,0.7363649971504442,0.761010105082911,0.9130872577227381,0.7801847472639357,0.8989260902264079,0.6439059143492745,1.013484349743787,0.6276074102341378,0.5993966945712639,0.5804759905280105,0.6585340373783937,0.5831487377133706,0.7042945022248652,0.8446387173659847,0.6387579609501183,0.9130273341474752,0.5926718813280252,0.5749935650578506,0.6197116054640134,0.56466756171955,0.6282377627882131,0.6293691911065772,0.9541070168638478,0.7778701492898444,0.6744279957201721,0.6276569440275873,0.7886111154861671,0.7532465561915875,0.6824426497074886,0.6474391864303399,0.8295759055201221,0.617018691017454,0.6678138027987441,0.5429941951136583,0.5634110849313255,0.5598459193358123,0.5616829050449349,0.5627815230608791,0.5036094739993693,0.4446210358027768,0.6897007954093634,0.42372149023845124,0.4421374813165188,0.4568251163207632,0.4363464289987328,0.4786982098708248,0.506021162630826,0.5076771083981403,0.5092550592319097,0.6330674301921546,0.5771564268764044,0.596076179289086,0.5465441158645794,0.5529893724609006,0.4313601811828272,0.39282687046122466,0.36972321551629395,0.5161271354941778,0.42999705565660556,0.43158433173390076,0.5155674847636845,0.4530103763687105,0.46108596864985546,0.49766911026615673,0.5478317542853163,0.5124210503053128,0.5510275021138927,0.5185069687613202,0.4270252273448803,0.4074453786149528,0.47705882557128126,0.6154462131652326,0.7547009227526931,0.5690999652480576,0.5099429729996662,0.5065628395779975,0.5159416973021095,0.47692661223910965,0.5354900091256959,0.4930575969069115,0.4943485039114492,0.52743780764112,0.5876595422474743,0.7510693856332942,1.5285379562701447,1.5939257170702452,0.6793074805699666,0.5901051814788908,0.5351389492559735,0.5236702719711016,0.5016268488148028,0.5653239404956565,0.5178552490864871,0.49644182568313444,0.5395782342312291,0.5738387760336758,0.6102777996186406,0.5675484805410791,0.7330101130549441,0.6781464207549959,0.6292298240644668,0.5072542152290721,0.4885989311098426,0.5084172056012216,0.5131338888748496,0.519042345604969,0.5535420748663793,0.5670223140899753,0.6232870540253455,0.5775429631351537,0.5509240135141253,0.6608550235999551,0.5069679881779158,0.5418359501458906,0.5695195191567402,0.5774706828205389,0.5939406241378979,0.619182590102427,0.7713788906752473,1.2554434683871505,0.92120059103568,1.1220995613473772,1.2006571545470215,0.871660363241068,0.8396715539893896,0.6377714924086526,0.6023784790597337,0.5753470782983656,0.5046129257611499,0.4816654014047555,0.5932946546085689,0.462911533827994,0.4715902825800978,0.4615547674616624,0.4846316254789662,0.5057753973140233,0.5513772567353415,0.5825688289610785,0.5613881242388131,0.5793076937018143,0.586113049325796,0.634896608862921,0.6295560036119965,0.6543050203857936,0.7201191319020003,0.73397985206167,0.7788293177378074,0.8826974025934339,0.7139353164529049,0.6041609556771448,0.627189970068395,0.6803931060956457,1.6953061615725782,0.9910775069608051,1.372419464645645,0.6694440706401794,0.5784532832455316,0.6334927185381185,0.6637993412655585,0.5785673729356546,0.5266841405285567,0.6171333150112677,0.7254459522840032,0.7239803665139067,0.5552258894453783,0.949338478421451,0.7716505282089545,0.732051732121641,1.172378383727418,0.5096660157874752,0.6254290522271175,0.6301301344781389,0.6601234245775103,0.7923212941699374,0.7872763474679675,0.8824245385968701,0.6856721997584266,0.6581309922826956,0.8652798433165568,0.7623567353871323,0.654403436453298,0.7998573645609051,0.8800301376954454,0.684762046845476,0.6858092581121987,0.8189811313926925,0.8141991650457194,0.6990853422701837,0.6919938995343383,0.6330863300359995,0.6019344541060844,0.5744943050766546,0.5602105937594033,0.5678813450703158,0.5257497063041765,0.5539508509887098,0.515787482017401,0.5849283231014545,0.5316963805152658,0.5578931934401853,0.7812346840910086,0.7241296809761248,0.6560318044372425,0.7567661929529518,0.9614927901502557,0.8594059522162193,0.7291662806598577,1.0904710055824474,1.302210659711861,0.8876387553745185,0.8119463574871351,0.6692588635670947,0.6276811185939508,0.8865240462589534,0.7216459512440946,0.7732709033362428,0.701047168235527,0.5836270757983693,0.5183051089464324,0.45034359129094864,0.5033851174979912,0.485716150713928,0.4932926374312523,0.6319385808550243,1.3435085003093281,0.6077963619208114,0.6362360210225159,0.848336527495567,1.0105684782091486,0.556883538111842,0.7418444228220531,1.1028201142632188,2.991272550132728,3.45586045297857,3.8491325856589023],[0.580024328251122,0.5809870952768805,0.6001875219369834,0.7398823055157774,0.5824463237736676,0.5093878103610437,0.5060079602417302,0.4973675822675304,0.48625253916944466,0.5902594851629125,0.6275939704973973,0.6692581716593977,0.7417990821599696,0.7479383229748497,0.931268895169062,0.876761907655577,0.924288588642653,0.999732131761042,1.1120076380438983,1.0674490294219685,1.0804449991604586,1.074448026561342,1.1593633719559844,1.1973379088273226,1.2506520102795569,1.1340100479087538,1.005731051288316,0.9773617091559412,0.9560839947117401,0.888288449343461,1.0102518601310797,0.8657600908674586,1.006328169282377,1.0409814012644403,0.9538762899209122,0.9735215571109468,0.9194486135637134,1.0343489588846582,0.9730280961210174,0.9635564001410355,1.035322550578351,1.0825147014513572,1.1105130400124823,1.3072877745951494,1.4003388891146589,1.9233323801541204,2.179272514088457,1.452241103485332,1.6731052331649154,2.0789852388990515,1.709117288248452,1.7339460084797136,1.3949571771346327,1.2966862417764464,1.509177061794838,1.1949124902008326,1.2348264827483713,1.1286595941725794,1.169914061791289,1.5059027633111581,1.2764172076510907,1.252524676461025,1.1228269574668257,1.2541208969376139,1.1646522312651257,1.1100410307124637,1.1800219338358513,1.0666513977504295,1.1357411128869017,1.1598726957467647,1.138391627411256,1.2409941748495585,1.1697224516957003,1.3168824961319014,1.0772122616325615,1.3589703688758377,1.0888681820706618,1.0346463946250692,1.023496745070553,1.0984445889705086,0.974982105030868,1.0788335525103558,1.0728046190226983,1.0242482126894588,1.2558871384229586,0.9702766105971546,0.995304172510691,0.9882530390491422,1.0079584719855235,1.045275139557756,1.0535064589635692,1.314966639635022,1.1601225550137466,1.047088052214217,0.9533583800458092,1.056368537695329,0.965608755735139,0.8993615324659296,0.8026457017920202,0.9286862835052262,0.8095614339253989,0.7804556239288737,0.8041617930453984,0.7592917023228961,0.7900743595109663,0.7484933765552776,0.7362328839677799,0.7256750947131683,0.620160608308348,0.7914655035612124,0.570392178815411,0.6399430851908565,0.6217604523775846,0.664180597553556,0.7417548603517307,0.8348859540723208,0.9261108060691006,0.9377679448258931,1.147307096487281,1.0502948881093346,1.0565377653029009,0.8867109158071853,0.8696039710988261,0.6781149332398723,0.5493301714614721,0.5740590701699333,0.5715249635688981,0.610526005441598,0.6370473301961213,0.7133345823948466,0.6808410581556555,0.6928860008439385,0.7578398846877883,0.787867262001729,0.7663698074829624,0.7852614786129545,0.7385055394352442,0.7149563222090529,0.6922557750217393,0.782360565588757,0.9268817292047637,1.2036072035437309,1.0141458176847122,0.9046232458246399,0.9483683797881667,0.9047295744414144,0.8494781391139423,0.8340508511223086,0.7486736720013568,0.6775729128241361,0.6511754772548146,0.6617789920817044,0.8142994929685824,1.5461823220204176,1.613027625337307,0.7779348532100405,0.7239922227028038,0.6919727892149813,0.7702086140708502,0.7455236869240734,0.8282891670540471,0.8787653237905363,0.8575930488726046,0.9316239974610102,0.8708675256321124,0.8447796215320202,0.8334944826247134,0.9708092748645099,0.8757067058359618,0.8249366733012022,0.7751343419712555,0.7878530163740441,0.8438561315230826,0.850909473567944,0.8661131167322602,0.8449784227064631,0.8642642155269988,0.9055452860346715,0.9314401134823289,0.8816754630903941,0.9432168224008723,0.7860121866564035,0.8269702648651124,0.8709997933461666,0.8894283524920229,0.9395862666237818,0.9803878087706331,1.0999513033258188,1.4997854802244974,1.2069358328336908,1.367045876781528,1.44671393432208,1.0636267779577064,1.019629228725406,0.8723327118356027,0.8430989142634054,0.8002673799759974,0.7269631540951107,0.694287800070733,0.7499773939292228,0.6316103587705566,0.6050291182369641,0.5951273539752894,0.6354295360403605,0.6230377834532334,0.6436906527988351,0.7088041107512361,0.6950665000059428,0.6644163779583646,0.686114152666928,0.7554948608191612,0.7428557400550181,0.7291604116298589,0.8206260954349504,0.8746160668124233,0.9352823303837426,1.0362005607927456,0.8909638605109605,0.7657015623620617,0.7687695004471257,0.8337218136368673,1.7167431339725394,1.0920669527873297,1.3724066341668062,0.7720356594568489,0.7127913568890084,0.7560911447128914,0.7795703042668922,0.7543252705186431,0.7086716825962845,0.7446597040636126,0.8555360479281063,0.844662996511345,0.7275800319801862,1.1012797119542825,0.981443507371656,0.9063202121233063,1.3149308338629437,0.7033415462794702,0.8093031350947475,0.7736589973832988,0.7639640776609485,0.8792281351593345,0.877614073646984,0.9820505668610832,0.7955579676413642,0.7462274930174223,0.9196594979555488,0.835576293093776,0.7279377009769549,0.8320429750963211,0.9072670652191912,0.7373509247765059,0.7312775292547644,0.8433493626116304,0.8573144623961204,0.7629744595466784,0.7547681109629747,0.7181529404953391,0.6869376393856736,0.6645898732256679,0.6528454390496664,0.658065756461092,0.6319775276659825,0.6668107376458731,0.6552105652101662,0.7149859544345927,0.6815397281932034,0.7370898701007395,0.899197227581255,0.8482854287988518,0.8240903551133459,0.9146825546045501,1.1262107390645162,1.035681267697568,0.9272220698876051,1.3136647559710308,1.4532857024614352,1.1124578940893315,0.9996020595801397,0.8298208249740898,0.7766823627709823,0.9959002176253171,0.8684658744135118,0.9348950367139063,0.8464498021667046,0.7432524613867244,0.6662252467450085,0.6303399183959013,0.6559594988016734,0.6117832259486612,0.5877242005084904,0.6891867674487415,1.3732288139584434,0.6797183180557765,0.6798549224286049,0.841260120186324,1.0531851028635835,0.5779777287695785,0.7558720645767727,0.984680525283156,2.871066746953681,3.2456446711479923,3.568682194095942],[0.786027609047597,0.8667457083379305,0.9583122658094131,1.1182032276111065,0.9319852318751216,0.8107934294980077,0.8491564444862522,0.9382090210548119,0.9029215880762889,1.026335066131685,1.1623574267527639,1.2443587070491133,1.2961856334617938,1.2755287501543164,1.5912352143832662,1.5259143727171884,1.4588173015343833,1.5495591228626815,1.466517264653711,1.419675278861583,1.3327654431313307,1.2980574834951069,1.3137310796513868,1.2408459049919809,1.2848762130004294,1.2360289106257698,1.2104996387879943,1.2919873270920115,1.4292427384803692,1.4537070253667048,1.6672032553323102,1.5275350945416637,1.6869684805248304,1.6932912072430115,1.5634234656387402,1.5272344397675408,1.4631292052551368,1.4263571748038362,1.2841419660205995,1.2403973563397326,1.2201091384829168,1.2913267852248764,1.2966887165917156,1.3966472804056838,1.4653841824284102,1.938661737882215,2.189022857779767,1.4733455857329643,1.7421894934489275,2.1139947093592673,1.788098736845835,1.8547369075649711,1.5367302903954887,1.5258417971556881,1.7030162939967364,1.4154060130805801,1.416498250240271,1.3034536596698927,1.3890811242422625,1.6804478989893223,1.5313749530484397,1.5884017711842586,1.5715053745104257,1.5487103957175188,1.4615953026876038,1.4732694829419761,1.570002736758123,1.5501599524977188,1.6061333527979669,1.75020526353889,1.7138656640469816,1.8721591878006765,1.7420017327532789,1.7577956783245186,1.638620757986678,1.8456937960886148,1.5737975596499565,1.6027460180339521,1.5400144283589468,1.5380586194481243,1.4454304391110855,1.462299536938523,1.5560439073392245,1.3699829558208196,1.555054258327788,1.3810705977541895,1.4068243124968207,1.4887733348662038,1.5282952317207061,1.6544227753291263,1.6900748631305427,1.9082022959463194,1.8475800131904014,1.7946654336193835,1.706482461086416,1.8214946691425242,1.7118193262355852,1.6095881433726733,1.463218027514074,1.540093893616865,1.4526316680331302,1.2972567492420943,1.377545592751072,1.2301935291061596,1.2055883815697783,1.1505721102893494,1.1433827393761704,1.1002910371979324,0.9957528825160271,1.1327041687870625,0.9637223301733459,1.015388649491932,1.0089918398203896,1.0036042179036315,1.098183742002719,1.0660687700727243,1.2036407432475473,1.0724404940439203,1.3280833512854548,1.4646585275878417,1.399251856585249,1.2444141413777159,0.9982950030092049,0.9163269503901719,0.8557948127467508,0.8967784849064906,0.8553495224253219,0.9587095536770566,0.999888285935403,1.0619572199828538,0.9938002406879299,1.0252614537337739,1.0733809539670016,1.083937962170438,1.05651652599129,1.060631815684679,1.045488011894288,0.9918719086245549,0.9792687019746618,1.0395076127755385,1.035159949575745,1.1856551720194892,1.0985582596950392,1.1051410098095198,1.1718183188807152,1.2479811707227904,1.164570251310114,1.2311972028910927,1.155195279869991,1.1052059002464873,1.0771382437466306,1.0997291916037197,1.2056654267053324,1.7644690958752702,1.9619888694260412,1.359419879266955,1.3027201137415887,1.2010230710241343,1.3113202598994893,1.1737655383179406,1.1484055274453873,1.2412622582454438,1.1032695414073483,1.1922439019993667,1.104668722597174,1.0572325990812037,1.0695527863231002,1.1545097043200105,1.1001657635240347,1.0498189309250991,1.0459629686115235,1.0395368369420204,1.0857766734650875,1.1317889662349179,1.223004834981779,1.2605583816008963,1.3353510221813336,1.3911912376697961,1.3331211283320668,1.275042225225578,1.2347211454575844,1.1563638297216257,1.1433182645159918,1.154021314390639,1.1363668777761582,1.1894338950163048,1.203846524303944,1.2706930680446973,1.523034735668699,1.3089388841691374,1.458180653857073,1.6455285680662004,1.3131189024023402,1.2771053967292225,1.1346672536188667,1.108540166082136,1.0266681634838233,1.0016814834639083,1.0118693245979589,0.9863523288711045,0.9652718638238621,0.9511761194946471,0.9484726919541178,0.9882041711329883,0.9741294950872902,0.9799257044623604,1.065214400373399,1.0345413442940181,0.9996024823731616,1.014206276268449,1.0822311245080651,1.057190433861612,1.0362860332504649,1.1257538336130284,1.178329344171884,1.2583162072106562,1.2394067028991091,1.2803738315065076,1.1259221784117075,1.125479791392419,1.1347545487744053,1.8010228626864793,1.295659844615265,1.5182844763639707,1.070417889414134,1.0097289438629955,1.031705538580665,1.0793803742568477,1.0317989503646583,1.0095762380079532,1.057926527130904,1.1516039455104485,1.1078736471791095,1.0185482778761497,1.2276110418934645,1.2140626841472009,1.1948380834425012,1.476767963616351,1.0247823969585383,1.073377282434071,1.0775029634140083,1.074779857771051,1.184638570158028,1.219013488654606,1.3014067202196271,1.1052571887678952,1.0608945630194442,1.2216623470128862,1.148164274090557,1.0310954547517774,1.1207590683206048,1.1765551616258443,1.0170632010115217,1.0227176743284763,1.1052143384112696,1.0854182566051738,1.0556651889661008,1.0340352630534981,1.0195605520627908,1.0116416621727493,0.9995568454919534,0.9892685952442336,1.0127335407190645,0.9819713345128819,0.9988907117629642,1.0266840084308673,1.0910599733935278,1.0628694448003357,1.064288526984797,1.240597596321655,1.2459840385001553,1.1793439591116115,1.28044398533711,1.5287949072417308,1.4595895284687332,1.3531566621149818,1.7880937694222037,1.9265963500866155,1.5050819418865686,1.4433761532463976,1.2321504164738721,1.1603747025453264,1.4553626808466371,1.331427126536652,1.4026929072382188,1.2288368911655625,1.0862088667308005,1.0002908057637232,0.9505662616568601,0.9771266789991158,0.9140149090588655,0.9525814712429654,1.00438680314114,1.5103755023980658,0.9823166521929051,0.9863436437949085,1.1568090023949429,1.2711535602685937,0.92074804436861,1.0850223027544796,1.3304207157509378,3.1662081848353623,3.660514479217445,4.341542564565126],[0.6246819701610344,0.6674862069894055,0.7926630036440157,0.8320630762651654,0.7875792248236381,0.8091586716537192,0.8542380206652016,0.9221034292608459,0.9043510769178242,0.978547111662085,1.0666431610142482,1.1342509502294564,1.0951659677515302,1.087313729720219,1.246959222247071,1.1729644345831123,1.1081683635945003,1.0661402347667996,0.9929023775394197,0.9865762417262065,0.9149515469999493,0.9071378155462436,0.9908255806729,1.1059117045225675,1.0499693821369536,0.9763120284352195,0.9148316557135758,0.955750301197884,1.034747437749872,1.0994841737792314,1.1942677044678431,1.1573175658127144,1.2983168492871642,1.2208457041018763,1.129596793545879,1.0769464863796778,1.1026812095941632,1.0682994684100036,0.9847358261713318,0.9745369988305794,0.9654296924764744,1.0014919990246411,1.0220406556686015,1.1841851525034601,1.2516750281186912,1.7823826615569849,1.9494296118013352,1.3201314905079717,1.579140597337985,1.930546539959754,1.5954795782819056,1.5805199091897928,1.2919702420860315,1.1819367768159832,1.4327657681333943,1.0608961235411491,1.0962299214895754,1.0557492560501438,1.0766289703844458,1.349437981374482,1.10618902953331,1.1033747384503678,1.0585636383405561,1.0548042965408229,0.9744761157526393,1.0172710596213137,1.0535301959244219,0.9990695871790399,0.9939413968361014,1.1634018291497707,1.0205963397607345,1.1023801690515007,1.1243567023999064,1.1712263504870564,1.046650218222471,1.349422425129865,1.024475860771327,1.0415306464877072,1.0384985198310952,1.0576825464988753,1.0291456239584504,1.1133559910861064,1.2874802999324855,1.0809258087197677,1.2654893621541983,1.0740324730394168,1.023571143516783,1.0921933699441735,1.0333938403920175,1.1378912672496255,1.1176909436207334,1.3761933005520446,1.2893327498202964,1.281674128286081,1.230813048897668,1.3455877774132687,1.284634897792651,1.255378456466035,1.2059700340490607,1.3559861478981459,1.1814325331692184,1.1672690716063403,1.1353050574904078,1.0937043371695292,1.0636840776445295,1.0673038205652865,1.0608641121695817,1.0039135512842634,0.9173173067645474,1.0491921665414141,0.9107501048448184,0.9485841799744649,0.9589773142116133,0.8994285225933432,0.958410780795283,0.9204664231870525,0.9466950545165066,0.8537575427193975,0.9431310894416847,1.0219102785553433,0.9910966857999607,0.9845253364593077,0.8720379843554086,0.8183060645910171,0.8008131424579381,0.776972282048599,0.7809104015178433,0.8615358847549315,0.9017075158254164,0.9433810929311314,0.8761666150032484,0.9013365629284048,0.9327238455589273,0.9952465195174787,0.9181312399645755,0.929306059452257,0.881691979503957,0.8121833777683406,0.7704479585320161,0.8575747585411448,0.85213358225021,1.02030231910716,0.9064901797400583,0.9158190522581273,0.9381945767347953,0.9879258113948122,0.9586387071397874,1.0664229972551111,1.031244781999182,1.053014157997182,1.0722975041635652,1.1030394373161112,1.2244222821498911,1.8641997199257927,1.9132519662960932,1.2409921723852884,1.1554306101648613,1.1175721036652728,1.115419306013799,1.051652183850435,1.000250451336895,1.0298113631301165,0.9273451768834909,0.9799429905138727,0.9404780268721982,0.9162467925540773,0.9099708616369739,1.014270219797712,0.9450207095323518,0.8979326896683851,0.8839458231122047,0.8816831287825853,0.9494297519494231,0.9811584158917447,1.0346078384088897,1.0708085133158554,1.1064370925698912,1.1821700285437151,1.1132863035834974,1.0988048146562228,1.0834321967610951,1.0150592972931325,1.006444876452345,0.9923289299118505,0.9881675682057453,0.9971812174628718,1.0121836059937697,1.118451474359161,1.4561563108339046,1.1989973822240982,1.3511645878985563,1.4810468310347342,1.1350351863605515,1.133680786714702,0.9797388709193218,0.9314958363721821,0.8842506031189526,0.8630967637630604,0.8728383609647578,0.8974893636610696,0.8550214943275158,0.8778091709328485,0.857424432555021,0.8472124675717506,0.8801190054349513,0.9106161446819206,0.8838043847432404,0.8706620679115878,0.9297873446153182,0.8950322924949735,0.8924635080662209,0.9048051375772472,0.9403354837728054,0.9376052737026929,0.9195888277492046,0.9648857689786365,1.0535375233663096,0.9337295633149739,0.8609566650994707,0.8819292788107372,0.9086991540843794,1.8370977838687506,1.1408051927004934,1.5205906788076906,0.9369251828068451,0.9369239735856025,1.0000126498934618,1.0361947355947139,0.9073480044277573,0.8720216379033995,0.9736749816690112,1.029306363714174,0.9510955619556736,0.8709978726005893,1.1540959344213155,0.9795942092140083,0.9512773955809443,1.3012547989820753,0.8600137925849055,0.9902835489860331,1.0271520309021969,1.030159863954593,1.1654995515550177,1.209067300304903,1.2823590473677218,1.0878091380845576,1.0365821590322448,1.2156521665034814,1.1352909047742374,1.021689799559832,1.1339817097749247,1.2043703799720833,1.0234944757711804,1.027328603454338,1.1394553821083722,1.0928525796068054,1.0033949223371688,1.0055400541949642,0.958764393571151,0.9633571185478865,0.9598340274901047,0.9304130211931861,0.9016319403272015,0.8638087734012401,0.896999067513241,0.8355707339198732,0.8504422144192915,0.8443437396171621,0.8322085339588037,0.9709153459555868,0.9452824014963899,0.9062339987611906,0.9800368301800851,1.1660194143529496,1.0706588149286216,0.9654706455150446,1.306483389446963,1.4897572642892731,1.0738004713744338,1.0057769769560871,0.9034748400102725,0.8560451360767262,1.0481445432253607,0.9472384705340648,0.9832971536388833,0.9097523755331463,0.8445099814162471,0.8267644587614851,0.8325657263412566,0.872025517765726,0.836691229109799,0.9198704431182848,1.0117454647091435,1.6171312331293022,0.961125379753318,0.9829675458613255,1.216234848619081,1.2578072977787118,0.9061450215834264,1.0614147858299305,1.4544408591693632,3.3848823968797097,4.0538694185340525,4.640278065436172],[0.3983874315153758,0.4428461570211955,0.4942882296031606,0.6503724939828136,0.4865526535000584,0.42403774085063944,0.4043900625879478,0.41435199207503015,0.4112803015894845,0.45459168562514074,0.5155494239609111,0.5871341123631836,0.5421933498859446,0.5477648058006551,0.7081529574175872,0.6325748183570137,0.6289680128522289,0.6553177475581851,0.7494805378449813,0.7030358782689935,0.7536563504385154,0.7456604390587336,0.8874768836246439,1.0150193946279191,0.9477139918002054,0.8311272808225992,0.6771603920045705,0.6155838099347793,0.6149329149695142,0.6043703655061478,0.7226765126429343,0.6236426968403157,0.8078913789531342,0.7735659403058917,0.6639074236098212,0.6568913510598938,0.6229494568580247,0.6849371163500652,0.6415144902872565,0.6419606897378483,0.7234147188723571,0.7622046353045805,0.7856802977625743,1.0143350294957894,1.1465588563887734,1.7288974377198814,1.9025345711474286,1.2136159189413331,1.4488049479509795,1.8482806203481161,1.467119601569286,1.401269807059251,1.1013121111457358,0.956028979360356,1.2876939912883445,0.8367687871382476,0.8986556868972958,0.8512276414443603,0.880768988230612,1.188554382913526,0.9355707081575846,0.9102166672640456,0.8127671575561201,0.9367532095274193,0.8177573759022513,0.8056099001858934,0.90457350395024,0.7153515763128512,0.8012189514220981,0.8317206317816707,0.8047524255244061,0.9635374106644998,0.8909375137296374,1.0223272000433594,0.7686537587324601,1.1747071268105869,0.7346922368026237,0.7060663137746778,0.6901021224807413,0.7597072515967097,0.6489732257860842,0.7720789832770609,0.9646194748538602,0.6688113279291747,0.9326390452867133,0.6453947189939717,0.6589664303426784,0.6961098523345423,0.6678310824435391,0.7445283644138065,0.7273847715298057,1.0601014574269072,0.8938511045177893,0.8116830969184919,0.7338576721577936,0.8820277051850606,0.7987718418578463,0.7340584086555109,0.6671815310264136,0.8968525305054852,0.6274741871943357,0.6601397130024638,0.5906868766023272,0.5749413643003874,0.5717705383348537,0.5727655241841954,0.5787188805751889,0.5154518805304575,0.4714228196280174,0.6950495885262453,0.4255703432352684,0.45736020224683743,0.46742349440849734,0.4625397038276257,0.500099073603845,0.5436850079566238,0.5835176069637071,0.6086971534343077,0.7765962292504862,0.6926004092144609,0.6783274324839198,0.5918111039309254,0.6082516965046945,0.4625286014452954,0.3838807074120389,0.383210872787133,0.49063271693186766,0.4473780194457119,0.46271976978491386,0.5152625468894564,0.49081470748457745,0.48242393776710735,0.5414912803212503,0.5784046280926258,0.5424665548736324,0.55972123808431,0.5557107975476905,0.4687526055016718,0.46317025242379406,0.5488551455561853,0.6976320714817874,0.8974232238202745,0.6877640273965371,0.607587871302833,0.6109879281122417,0.5893876948930837,0.5390827395792256,0.5727287763327554,0.5170105511987136,0.5181985004723463,0.5332582002979847,0.6233698157734389,0.8367400620306646,1.652541564242563,1.6329298183406205,0.7233333709039443,0.5959820792066992,0.5566955854332913,0.5502484145438242,0.5265940490154527,0.5615389714026158,0.5759138925139593,0.5654793325300765,0.6071561032476395,0.612525822807908,0.6812793858047633,0.6326429145736594,0.8145578789708023,0.733217904835923,0.6770308893267605,0.5792505657829831,0.5501030873841791,0.559337340441377,0.5586315905827925,0.5686721949259158,0.5815138504994831,0.5992945237887871,0.7166986221853041,0.6405294238087346,0.6122754517883479,0.7501350478627528,0.5390227063369054,0.5794077719216213,0.6062906717062037,0.6279276064580619,0.6744003181853858,0.7212794489258841,0.8530408453541624,1.3179102776639682,0.981180111264509,1.1827005076966752,1.2553831555494526,0.8857962104170825,0.8770980001106298,0.6829262003109392,0.6604992952622268,0.6176738097454668,0.5308284617828019,0.5001457819604086,0.591748073564285,0.46736900478112064,0.4818583787522723,0.46725719910468294,0.482306322632982,0.5104987752425126,0.5507362495643761,0.5666358652910778,0.5633971390302103,0.5980587350300266,0.5892233202987317,0.6401975577159672,0.6445000310022003,0.6669350905321906,0.7279622725433396,0.7527750066292435,0.7914001312008456,0.9193855614996914,0.741854578339881,0.6162161080885491,0.6411076194174166,0.6912089867154877,1.720444348487131,1.006774786736174,1.4271128525809813,0.6845883411368374,0.6117076539362026,0.6581816057114313,0.6878613542355536,0.5679403713836796,0.5161991648333869,0.6197238449945864,0.716516792301433,0.7230010622268729,0.5477544380712155,0.9320578213961815,0.774466986260023,0.7288008153956409,1.167569843583018,0.5195000492474023,0.6314419245554982,0.6606027880590759,0.6789975726869605,0.829220631986125,0.8363009111100713,0.9309024095668219,0.7157627569878502,0.6768558263316523,0.9033980015522448,0.7916288165726366,0.682089341791704,0.8451495800652268,0.9307775795657972,0.718315281208502,0.7236317962785839,0.8781275440035522,0.8479431321394355,0.7293703997752529,0.737979104984057,0.6601395829764768,0.636591875189125,0.601807620633267,0.5816041561002698,0.5952053539524907,0.5454995577877871,0.5710750335701481,0.525758387483352,0.5828510855452113,0.5349515571310747,0.5734185402876635,0.779459921523881,0.7348601762116119,0.6784700804973735,0.7707135631684813,1.0176140849853943,0.8952201112832898,0.7771352880158904,1.1308996731047876,1.3283677898889628,0.9499171925132632,0.8423522918565453,0.679329462387503,0.6290576786182359,0.8805789098904895,0.7412200775539647,0.8072173844266863,0.7151372881555557,0.5988911117021071,0.5255217848255225,0.46271355660042107,0.5037849912831031,0.4918908634097889,0.505133137239551,0.6610580908379731,1.4245243760758624,0.5985387420814445,0.6378610008230476,0.8824001235096643,0.9744532557593213,0.5570443581965258,0.7530995288554595,1.1376297343633162,3.1702541469939063,3.75631147018944,4.128482450494878],[0.39414692929921796,0.4281773802475182,0.47132083278771353,0.6159811527904587,0.45115735175644045,0.39796165123631916,0.33108523045875476,0.31965738466785537,0.3269591167610605,0.3125522390974804,0.3313941731995911,0.41706321501699123,0.34863507886610956,0.36022312723635425,0.46855009491085375,0.40408768069917156,0.4391213157802527,0.45471771961487384,0.5887649911077879,0.5304469941755325,0.6283870464502487,0.6252597590803027,0.7580133537173548,0.9164616761607229,0.8404367188473088,0.7179193468843849,0.5555179448998785,0.4567151514306234,0.43569751668482976,0.416919713035253,0.47316478779713966,0.408825567992216,0.5594629508611186,0.5084368585005967,0.432442191741631,0.4387574346754438,0.4245584513687735,0.5072329097015011,0.4734797920332941,0.48324386864671975,0.6294144579092098,0.613404091581787,0.6133708570539382,0.824719889209299,0.9899108991784545,1.6391314840681255,1.7483832761549565,1.0574374968024505,1.325506681382216,1.730240525226978,1.3168011216612032,1.1973819569354256,0.9546957614936729,0.7993851238383162,1.2469510970366096,0.6692074873454397,0.7496476987412899,0.7351797360821472,0.7763655509771948,1.0334552236962653,0.7994514595777159,0.7597580980935273,0.6444776619014614,0.7882813467195385,0.6739151710951593,0.6638245432740524,0.8111869577113188,0.5577039044878839,0.6983562952674102,0.642664263621745,0.7709225467887594,0.9545252593235933,0.7528610561608224,0.8830955985565319,0.6028751991740838,1.0503718409231084,0.5372774402107791,0.5092995791879271,0.48783136645849823,0.5847756465023674,0.4984047981107094,0.6715002135080818,0.8944952819484893,0.4661638712774374,0.7690345795132832,0.47635063861554217,0.5033635509827196,0.5255119350814089,0.4701724694568857,0.5317655394912518,0.5125416328727969,0.8760171092306893,0.6618601718173632,0.526369026472647,0.4820399652361087,0.6350898049993026,0.5867232788137403,0.5283753946426089,0.4933599975093441,0.7989167309809363,0.45429077980773835,0.5688050773424745,0.4221207097641096,0.4286047330985837,0.43772265438562696,0.46244345597371755,0.5111319176126726,0.41896132586490137,0.4052578998020581,0.6560414897158221,0.3428290226963013,0.341713017117271,0.35702833094906,0.3568263646721185,0.4001459869457909,0.4192391943568702,0.4413583487787198,0.49162017700941824,0.612296527909833,0.5201864632938061,0.5217976785921136,0.4723143721907278,0.5034990927690047,0.38687060697237025,0.3030452946768937,0.30724048216191113,0.4719804184249007,0.3731745062072882,0.3791016842157249,0.4166315622467299,0.40293801049535083,0.39184186561341383,0.4254758367286143,0.46946416672624874,0.44403591037910084,0.47428646784489553,0.5081198356548975,0.3886977569689623,0.38832343520330487,0.45174670592574484,0.619356558011398,0.7610973262267329,0.577982890609747,0.47889088068185426,0.45348490621268256,0.4448550080526131,0.3834508119876344,0.4086731882590405,0.360550564211365,0.40102774528985,0.4361600000459404,0.5594335821739445,0.8444440665256467,1.6556265569927804,1.5711548219513058,0.6000014669564221,0.4370353342777387,0.4189548145866416,0.3693714822914189,0.37790548253590184,0.4360001294322949,0.41485484948382007,0.43309158747026005,0.45679749856884627,0.5264901474232125,0.6060527779562884,0.5423251470773819,0.720314000939295,0.6702089893433956,0.6298730326349923,0.48462204858496627,0.4527151345666897,0.43692476232731664,0.41932668819839286,0.39967797949891143,0.42545896754069845,0.4324990468820006,0.585183082298883,0.474607928915882,0.45696944541027085,0.6309715495865897,0.4024341208108668,0.4520189870269682,0.4818768768081568,0.5138111093950594,0.5475541974884811,0.593771377945883,0.7426092826430981,1.2469152743144694,0.8768318628512215,1.0878554314704678,1.142671791678119,0.8265077469751563,0.8300807078336367,0.57736769995354,0.5447606992586721,0.532182547806375,0.45649226795342335,0.4430937609174143,0.5366871506116441,0.42647615656562815,0.4394114258970137,0.4204581688558127,0.45446357206305027,0.48919761567477815,0.5267429763131521,0.5535131079521091,0.5484854243487896,0.5920917389957389,0.584078374531848,0.632623197067375,0.645247506716372,0.6708886843434477,0.727767210294976,0.7364242757008524,0.7592771653499006,0.914202656779819,0.7068072405178374,0.5973229952388518,0.6354090992486982,0.6794789566043375,1.7641968829221966,1.0005872035027223,1.44820373755742,0.6572180467470414,0.5819235340928806,0.6333894809525896,0.684203008822931,0.5611246512562393,0.4895759578467256,0.5935691967566723,0.6785074162519515,0.7257256897499403,0.5172694078935587,0.8796852048048499,0.7336636086681029,0.6976141481636687,1.1397290893724996,0.48539272666061906,0.5499520912517821,0.5988155881890054,0.6451138943730929,0.7914523011756424,0.8057132301529147,0.8732999138805286,0.6858849702665267,0.6604377524913667,0.8620236096555889,0.7540567933131004,0.6583830605446112,0.828387937807349,0.9168138700303038,0.708087384473791,0.718632444146588,0.881230110803299,0.8481473282651733,0.7312843957335722,0.7442844267514306,0.6687355239262457,0.633531270433676,0.5899994425835602,0.5695883511291175,0.5859726784699513,0.5327209727881603,0.5649634938255109,0.505686204082301,0.564278388011271,0.5124156768104317,0.5447820017384409,0.7400878865873126,0.6980111767990365,0.6401959311509503,0.7068988179781742,0.9321872374455997,0.8142817852473496,0.712060513261727,0.9994884362792746,1.2530345178641673,0.8959720578425212,0.7884066922004681,0.6521427596540176,0.5958201397401466,0.8422774168659481,0.7136669478022418,0.7703038933584845,0.6852211621525465,0.5776580533247916,0.504211896438574,0.4192386704341583,0.4789468051484123,0.47405696238643147,0.4597616000091565,0.6380580833001576,1.4102656998731131,0.5506689059281504,0.6209420930881367,0.8597199445932994,0.926616068491404,0.5567282811908488,0.7580500882376722,1.1446982120193703,3.1976834609551585,3.8217939442290927,4.147708538575045],[0.359765041733817,0.40877960139716396,0.43760727853727477,0.5747673187887274,0.4226184395966669,0.3363289526949181,0.2926068068286008,0.2923544644874038,0.3262930960358581,0.3149553998933021,0.3314917049217179,0.40352560977420554,0.34219007205421453,0.3541021575808923,0.48002364820815363,0.3950220045858972,0.46064044795363257,0.45537084591634663,0.6163344092668729,0.5471790726198698,0.6044036094975835,0.6031770879108039,0.7475568569152895,0.882620613811545,0.942393011992552,0.7620669304450256,0.5643923542437506,0.46882309655186355,0.4318033825419364,0.4086905603649479,0.48582948678471205,0.40398724123843677,0.5464324105724484,0.5215305072100013,0.4372587877542775,0.4413512099011015,0.4218867165586267,0.5194302458959338,0.4774203300579547,0.4757236339340832,0.6036790058162956,0.6494377453219706,0.6577864183334275,0.9203989745381301,1.023179851251348,1.6710713316045847,1.839599909498538,1.1166454359212123,1.3822483966924404,1.8632501324098483,1.433560695653885,1.304557509218653,1.05572432639151,0.8812465987503296,1.2425646515303008,0.7102247162146025,0.8072263214140444,0.7644372512816142,0.7854362455316963,1.0863981888059882,0.8159512240172179,0.7681511377028973,0.6368330889627452,0.7849663091160144,0.6662090941017106,0.64404414246972,0.7947468003654111,0.5602628218102351,0.6753538591470379,0.6827357192084723,0.7556561292224113,0.928611717570395,0.7809637192395817,0.8921473016219542,0.6190996869924277,1.044125077439242,0.5624179722030984,0.5143493508199013,0.49800601153285506,0.5920361984087967,0.4945890615661127,0.6522505338924214,0.8054651965492717,0.5102537868628696,0.8103414056699287,0.4799691867376605,0.4979329053768711,0.5416983026132219,0.4762709771019301,0.539932687998735,0.5145740200522574,0.8743065239214546,0.6674125573116608,0.5317002615583258,0.47911198082740014,0.637497325978034,0.5811126115043624,0.5220206132313947,0.4754041086159895,0.7535596521340867,0.44410230281545005,0.5574687445865428,0.4080300517424121,0.408364127761122,0.43851041807055785,0.46270685585774823,0.5325610028188812,0.4459815973308505,0.4161196674492883,0.6693929252237748,0.3561416140015572,0.3298937014704397,0.33438018733886427,0.35292386225376854,0.3812949030596962,0.4506691642408897,0.4586132530200687,0.5120093669216507,0.6379760599541571,0.533561105178361,0.5565066913429709,0.46302452456878546,0.5380512263111116,0.40100641441666834,0.3257609616787074,0.3464022632804495,0.4599179360005002,0.37558246555712105,0.3799947502124286,0.4373410311157655,0.41992456059083283,0.42562693433977566,0.4633175686924167,0.48708043167061155,0.4753165316337069,0.5277300971295283,0.5347656648970006,0.44549559722118054,0.4265603495394028,0.47906276015928584,0.6619895021255217,0.8297428894167699,0.5818283304473104,0.48195672063245104,0.4635598351783697,0.4487181160112305,0.39725792768253293,0.4239203168371355,0.346475271054418,0.3625366411413592,0.40557456267827585,0.4878873000978009,0.7730859192028506,1.6037090725286691,1.520137562181521,0.5365510443567333,0.4176646411057889,0.38010268876599923,0.35385992639604996,0.35828170856507474,0.4467609113374354,0.4204946606947803,0.44172000432496134,0.467742594933571,0.5196178867273155,0.6187452466020216,0.5485311470371736,0.7427631209852796,0.6955416767177444,0.6389419245585747,0.49993764937470137,0.48706349879591415,0.4718366651234525,0.4410613034454499,0.41018479151039094,0.4248499369471729,0.4332051353119345,0.5405217747766835,0.46534537017097766,0.4350520136926537,0.6185506377917444,0.3993552044498595,0.45984161193041434,0.5187308159651316,0.5362503494849112,0.5567009580519426,0.5729488119765934,0.7387835942309378,1.2706714360515678,0.9175445510139175,1.1136305054455873,1.1439210746716613,0.8315109689185269,0.8160869935755707,0.6087969747118084,0.6057010077060261,0.5721022291306618,0.4763214231347918,0.45058279542045343,0.5439915371797954,0.40279164718265054,0.4048633501853694,0.39644666837592923,0.42638612562125505,0.45535913216324364,0.4986531968731079,0.5414673026981135,0.5320199402585158,0.5544182410673545,0.5529632342379406,0.6084905857114961,0.6214341733928035,0.6304678464846702,0.6892975685990324,0.739405048258167,0.7868995114890521,0.9292370958399321,0.7400514410133744,0.6130932006234086,0.6491808709939301,0.7246112539327693,1.686181870245353,1.0242487702381295,1.3960746126960972,0.641509239683056,0.5470323961404332,0.6078520629049405,0.6187429908829936,0.5681304176883983,0.47642309228389185,0.5731359569707082,0.6699193540624915,0.7403284465732658,0.5274326482859966,0.8769618620038264,0.827752602327987,0.7229943244261526,1.192183248137263,0.49697281091555806,0.5441455504752076,0.5474601011780089,0.5935257232666246,0.7334811611489623,0.7476839873971197,0.8032583121387431,0.63369022209101,0.6024060879313348,0.8047045102161774,0.6977821774705422,0.599408784873143,0.7610650274583841,0.8588645511887943,0.6654732643954278,0.667068223962868,0.8141538875214027,0.8194974578140619,0.680130408780839,0.6914719999483775,0.6190340567666244,0.5886330272518889,0.5348497276427246,0.5252182365946861,0.5632413283718605,0.5093121566410794,0.5357332053111804,0.512798727168036,0.5754163547481286,0.5060345753960137,0.5791911421719176,0.7868071144720381,0.7146811947976128,0.6513393570838775,0.7340228810784828,0.9769745019417078,0.8608967190189754,0.7509797450432921,1.056514063023707,1.2636513877639284,0.9586300545805706,0.8213631250935198,0.6652513740826208,0.6030400907863979,0.8371336933301644,0.7229162494692621,0.8038937349551755,0.6796593247795845,0.5830412959993178,0.4742889696524642,0.3956898506365433,0.4651352765974153,0.43603283746381094,0.42336746443091705,0.5826422736011881,1.3567949726137751,0.5316573122696207,0.5621292033409139,0.7590641046458854,0.9243153842814902,0.4758922672362705,0.6884094894318451,0.8812898501506983,2.7903585484853144,3.1658209677481484,3.2531192318853472],[0.36688263013760275,0.39104336757952174,0.3935401530359145,0.5323502696394536,0.36181848940310446,0.33287045458254894,0.26714752318483614,0.2814912197199202,0.28697820652404343,0.2540278412676096,0.2752923869760736,0.37184074321717003,0.28614092673480307,0.31092224172166727,0.4131974754336788,0.3545769678561456,0.4028029043303835,0.4280831988963505,0.564204031736755,0.49139781652942116,0.5687682131389967,0.5613647078688372,0.6988632067553893,0.8535188570941452,0.8541068274799246,0.7016793492132716,0.5038880450900798,0.404051701112584,0.39069670937306644,0.3672971634251303,0.44130651552929245,0.37220442213856025,0.5043586043633103,0.47620953431265967,0.38784008920493124,0.40046922913022015,0.36394314802633204,0.44807686918238687,0.4118086106169897,0.4164795569913655,0.604640574810715,0.5762868114009037,0.5636796668678655,0.7826460740866376,0.9439475056649104,1.612699417767687,1.71650499223082,1.0345073970781755,1.272780798296787,1.7092673126450726,1.2929430755343505,1.1283066088304146,0.9137989029509487,0.7611836094875339,1.2456736415448304,0.6033775022211194,0.694724548129301,0.7103881945226136,0.7563685946803933,0.9415904597413632,0.7367612441139726,0.7024339536335246,0.595013469395025,0.7739245521769209,0.6185389473124576,0.5933576773286977,0.7845563090036665,0.5501818176938327,0.6670565137802416,0.6599291379582496,0.7957976750085225,0.9964497492361911,0.7884804780847874,0.8733073311947914,0.6071409058109704,1.024178787153831,0.5291349448355999,0.4920707897303956,0.4471881265445236,0.5179412475168584,0.46890355742186773,0.5990076461636483,0.8358848256629133,0.3996991350470225,0.711182617816008,0.42096462970919063,0.44921847824361566,0.5030840714621622,0.4319493901209074,0.5203239994958181,0.5091898152559808,0.7982699211231744,0.6002653310274155,0.473762872975664,0.4300555100096695,0.5605962865924436,0.5025037619208674,0.4863455495577935,0.4569115130918118,0.7998269924399427,0.4360602617424998,0.5695387722677763,0.3658840225530215,0.3978882090092877,0.41049325962761923,0.43976653708768454,0.5533076279394522,0.3706999972375552,0.3780746115455204,0.6670157860524806,0.3212188598121412,0.2781802530785347,0.2849584500330818,0.2941768878711447,0.3265275981372772,0.36150712537346175,0.3810161848047373,0.4330891633923064,0.5617944605018405,0.4772340916290827,0.48073442437155994,0.4063890929725904,0.4562323532619854,0.35150215879663727,0.2829606378646464,0.2826187584872317,0.46066287945093015,0.3219049780988285,0.32347355568400954,0.3662273747103097,0.34918605025728594,0.3638770530437211,0.35168595485949855,0.42277804384728773,0.38599460525662893,0.42584251072766305,0.5136063488450502,0.3520830539467618,0.3534151094254965,0.38824325325362613,0.5764594854706767,0.6986221034191977,0.5038074017109911,0.3967841857655077,0.3684531060459471,0.3810514732471596,0.3119303538991555,0.35458878964977064,0.2935692084219852,0.3479733167834038,0.39224744121462596,0.4924348709114237,0.8697062586912621,1.679205865847504,1.5324948773319396,0.5507797561519058,0.3822906621479352,0.36878722649280604,0.32800493884753845,0.3299526808454995,0.3760366724949941,0.32980697971089057,0.34671789140271514,0.36855985328871493,0.4491250613367981,0.5441594806602162,0.4734717930884786,0.6701001388632702,0.6477201053219154,0.6095573905726278,0.4207180335169249,0.37839605307420965,0.36641721611173506,0.34077155547471216,0.30810294569448593,0.3652302720779728,0.3898122209279715,0.5566887538064242,0.38532573998044317,0.37995311342008176,0.5423818925103371,0.3327901806936789,0.37364645197182844,0.4126655397360259,0.45088484226709574,0.4759472309533811,0.5000763830601409,0.6817338127933404,1.2076044148664986,0.8139664222477626,1.032744653978223,1.010980458659204,0.7446531354993815,0.7397860296578416,0.4932988713697706,0.49265547658908077,0.49406735828596454,0.4121637824090527,0.3962995642694971,0.5275539045835825,0.375982732779179,0.3957816645825684,0.3738621789343748,0.39408799092152497,0.42526100345896284,0.459214573796849,0.49382066067915636,0.4906213020885497,0.5327379502333426,0.5195383029222842,0.5736939791298988,0.596839073954066,0.6160877832925001,0.6688033394710714,0.7059412417666074,0.7320377883076044,0.9146197881584262,0.6905448290703585,0.5677896513934493,0.6172987018061487,0.6945163368372415,1.740075585152728,1.0335411918344675,1.456290818591416,0.6135935158632527,0.5360366239904224,0.5953537870396585,0.6365580711453132,0.5568861209960154,0.4402354255351592,0.5451378153048264,0.6095817674600542,0.7192640092685951,0.48351903421052517,0.8387809801977634,0.7665025940623587,0.6843735974398135,1.1477915631040851,0.47774155056864526,0.5181214365218553,0.5316011187002614,0.5796819138164813,0.731856865449537,0.7549130462850645,0.8053897598996574,0.6316939945518998,0.6160789775961115,0.8368081045945344,0.7172410228999128,0.6007542490728055,0.7820503720146781,0.8791169069439697,0.6648984615139424,0.6791148955337661,0.8420665631685658,0.811079946128083,0.6777504490624784,0.7018796393980703,0.629311295871416,0.5914209953776295,0.5291610272123742,0.5156340452661345,0.5549608774070678,0.4882537128127795,0.5254142613474073,0.47614832337363067,0.5362302920177069,0.47437210013444236,0.5318379177880722,0.7200873135682672,0.6597415214400426,0.6135346240805205,0.6687275215636399,0.9388066479949254,0.7986290265568289,0.7127694317511254,0.9299795399757964,1.1831909234066942,0.9328292647741322,0.7788326674914431,0.6131589936024423,0.5453930951341908,0.8280828202693036,0.7126675622770204,0.7808125983747443,0.684594401159366,0.5859807947865355,0.46127758772952704,0.37501220467605156,0.45672057440931957,0.4332326841279605,0.4131268108062172,0.5973443339217549,1.4287512543982184,0.4897863598376671,0.5403221385089997,0.7749952829640198,0.8953407664751792,0.4760931750287995,0.6963842636913935,0.9320449027503172,2.9273667808533164,3.4768349271096954,3.5395299671557807],[0.39694830932106406,0.4305997176582371,0.4430624537097286,0.526867965253091,0.40841375652724815,0.3566586988061221,0.2840098629613304,0.300844478806452,0.32872281261825015,0.30997938458823376,0.32684976417498324,0.3913589233539054,0.3221198703708613,0.35977449409936724,0.427796614637313,0.368465264463424,0.4605164584244685,0.4472096050111576,0.5926283038613138,0.5294310802562423,0.5781990004660507,0.5699275956954971,0.7346000040364705,0.8379672399190021,0.9807833314397897,0.7706882400645128,0.5508337900956699,0.46294007661175124,0.43161244348303707,0.39474683091352986,0.44551119679360374,0.3861781549139485,0.4823011507368397,0.4775100871694416,0.4053084996952867,0.41869742743613186,0.38340734891171246,0.4938795699843059,0.44190279300937185,0.42909771546899533,0.5886084977620076,0.6245061886727874,0.624879464993276,0.894923869805504,0.9900559262635158,1.6600055080441112,1.8248502786152836,1.0895738053764852,1.3161327177225908,1.8333884838299244,1.3875163678089646,1.2617241020375431,1.0352342203869123,0.8581276155620403,1.2160916526855643,0.6781251887944596,0.7809033705955155,0.750588348137807,0.7930692765889698,1.0069489353066359,0.7683983487242713,0.7450252660277208,0.5992752191467452,0.7600544730565553,0.6364053204033799,0.6221655502646671,0.7703655191542677,0.5598581086311865,0.6852154225337134,0.6813568648723007,0.8078207164891106,0.9899444871300479,0.7861997075242163,0.8737513185072814,0.6194634485146794,1.0084204196620776,0.5507006838298831,0.4893268861103788,0.46177787236594897,0.5288665415257167,0.47627343540493333,0.6053573674602378,0.7458518872848647,0.4914860148855897,0.7776153493572375,0.4480793092101245,0.4703074531899655,0.5040126067043539,0.43981429291280494,0.5191263799294594,0.49943433536540127,0.797931996655006,0.5940169158424164,0.4413708945713947,0.40006322189849547,0.5303866741228994,0.5042415865856946,0.48149754250917304,0.4557987836534048,0.7619656615856185,0.45447473800742666,0.6043105817910714,0.3924316399419196,0.4027250465058764,0.44453727926793923,0.4672378196114197,0.6066300122357305,0.4202009025429795,0.40474084138348243,0.6927799152379199,0.37753815115975553,0.3143750825149085,0.308612062526164,0.3420252546940259,0.36645756929130074,0.42580357116833495,0.45402706985260866,0.49018115420460984,0.630372387315952,0.5202001209270115,0.5300204911502383,0.44893826956759897,0.507759623595426,0.388909835060398,0.3260156969262374,0.36108923350557187,0.46320090269881126,0.3794876293059666,0.3738671709223785,0.4185292108689784,0.4297831857125676,0.45170657440334316,0.4437944140607863,0.4781065191308105,0.47334182323091606,0.534514791500902,0.5663382301949483,0.459532316657717,0.4417737650910543,0.4384612867826031,0.6178797923354644,0.7366537761924228,0.5400912531159786,0.44454548928534215,0.4340381873546307,0.4237775636529763,0.38093178261512656,0.4045135374444336,0.32801573039489285,0.36706351024742623,0.40823913728003663,0.4641522016048511,0.8034398150324811,1.6036192988012548,1.4613020570602422,0.5114742638088059,0.40190748235582646,0.36354911059525763,0.3473869831110408,0.35189733736334833,0.4121422231817585,0.38360353384510215,0.4228904277602848,0.43897668511925925,0.48011997201768913,0.5804978398749473,0.5045178545824787,0.7128972370490441,0.6882832769442447,0.6434074224224146,0.47771567788034097,0.4601980123932434,0.45849028062447944,0.43110615373192057,0.37682355943087853,0.38448679823572496,0.4077158956366245,0.5314440776978925,0.4115826926370535,0.3877888014007689,0.5791103763465595,0.3746659154029322,0.42451825490908396,0.49152206923774533,0.4928953504992796,0.515739944191526,0.5092386221304573,0.6865527240522576,1.232798053957104,0.8759760609127112,1.094632822335188,0.9982612749494877,0.7767668331760064,0.7554379056626557,0.5561581428791582,0.6158195810973162,0.5868493312309385,0.4872081604300484,0.4498110676170612,0.555300099956881,0.40175689354897687,0.38542535665137445,0.3915396665736436,0.4207268450381493,0.4289088914484263,0.4560609232290159,0.5229037583180048,0.5186630425687417,0.5465524997003313,0.5400776073116659,0.6007118095811277,0.6342647452504643,0.6545540998454726,0.6792786746532798,0.7617832530024508,0.7864163409083035,0.9609776654432685,0.74928301195134,0.6165873600973919,0.6691222405041575,0.7687669188535103,1.6455281634402217,1.0859989635996459,1.4079968777708174,0.6220873727125397,0.5356693053873928,0.5971042027120036,0.6140079105464556,0.6020889179887952,0.4781750539590692,0.5566446458979323,0.6489127741379493,0.7836388219494977,0.5352272482525334,0.8257827438892117,0.888185097698706,0.7446067054727827,1.1898275247386418,0.5330752988327081,0.5398371689570205,0.5079888342400678,0.5470593095716041,0.674287102906915,0.7148452251781118,0.720948597180052,0.5893313932901938,0.564941127290526,0.7468757869128911,0.6575333781214172,0.5645472365607984,0.73632880930773,0.8464539527299471,0.669594530134201,0.6837989339705056,0.8432072193658657,0.8627906581109299,0.7082127440403351,0.7311808300086435,0.6460857762973867,0.5942384405304664,0.5220567156396506,0.5112489868734166,0.5880255473847653,0.5006479598706974,0.5224228497037885,0.513570233761487,0.5765549800711066,0.5006309782361952,0.5905913062104773,0.781712129125234,0.7034561927820036,0.6841630383158296,0.7418688576875608,1.0335996053801808,0.8760495662476637,0.7811580689496724,1.004216291305947,1.215043518136961,0.9794001311606363,0.8190250214204883,0.6554955623959131,0.5897353393901635,0.8201687893091393,0.7435210287019474,0.8277328590577844,0.7016595144803534,0.6306349159839482,0.48439325044476467,0.41247493281033865,0.4836681400469573,0.4557192457923946,0.41222795340141016,0.5347019483274104,1.3357802422296976,0.5084314809412823,0.5112257486696086,0.6621553767286922,0.8780895127701023,0.43071313811698714,0.6631866715584613,0.7133680612504492,2.283003449361101,2.4958124741598215,2.295416144491433],[0.36000272249556153,0.3812222390258762,0.39215113973467697,0.4413872976049864,0.39795796341794,0.37980528775470834,0.3250901130083878,0.3896226485093149,0.40767598892928775,0.3429035552179312,0.37900553213829113,0.45870932796644226,0.3448551118129853,0.35700597848798366,0.43162300511190843,0.38504116934747035,0.4229589544354696,0.4002826107388493,0.501043638363867,0.4472994967345385,0.48003300837840723,0.46851539582981244,0.6784456741583532,0.7405190677485504,0.9205407483359774,0.6809550378041933,0.4610630339502192,0.4003884154039917,0.39305998534911385,0.3990597611048223,0.4372060789613971,0.4479439735170041,0.4938577770099139,0.4850784510333998,0.41753422365828297,0.40892214751165346,0.4072378129874877,0.433971087456203,0.3798276435110733,0.391107364256414,0.5810742395890949,0.5448916696623155,0.5123035214926256,0.7331043609495246,0.8887937628527705,1.6268937195063113,1.7263234450799976,0.9897104816851621,1.2183274832554976,1.7081148698293187,1.2507185310106623,1.1399383389012954,0.9239215581491322,0.7620962796314614,1.229715134352837,0.564891612698606,0.6457538254129119,0.6870661947565417,0.7519043284983667,0.8804755551217167,0.6558373232626113,0.6593590681183499,0.5306767054420404,0.671124864039766,0.5274316726741041,0.5358689867120711,0.7034054742909726,0.5110572855116892,0.6173008565856719,0.6321259496943544,0.7794309007734523,1.0003936550076868,0.7673488786347076,0.8140270619405562,0.5755414329394779,0.9555882147292878,0.5073658613653917,0.47268632726602067,0.4417270525358358,0.49059607290839086,0.49164943444649717,0.5907951325159271,0.7488717405709511,0.435267155365814,0.6937843293624699,0.4400817066078542,0.4434279159470383,0.5400191697043931,0.42580553261475274,0.5395600404628781,0.4810113644399277,0.7193565048109227,0.5323856402217056,0.4445439080452663,0.4294736678855888,0.5164398630734569,0.49813523469863524,0.5225395131541365,0.5098248927958885,0.8014530350238758,0.49542707058887586,0.6472531709589628,0.4417826015532877,0.4906968452382659,0.5128313525776449,0.5186084042751445,0.6899501386573987,0.4337441629133139,0.43808481742594685,0.6979979967883758,0.4216710580503009,0.35891408139208547,0.3326060637001686,0.33602518143854776,0.3456645744851407,0.3646331763777836,0.39485319179620243,0.42181689574974823,0.5080113924580464,0.4600967124148791,0.46197503182689087,0.3948193033146246,0.43861002627494255,0.34206612168882555,0.32554897694634094,0.36319357696364457,0.4675615129291813,0.4108402849500037,0.40606432442595913,0.4394762094567285,0.44540955563157464,0.4825109920835825,0.4544156211594206,0.48172411761261275,0.47664017510763634,0.5298029804377236,0.5924468337337065,0.45680638190314016,0.41720603373118953,0.4021755607253642,0.5551798491954245,0.6413082615514635,0.45784581060843355,0.37413819043617863,0.36984555582951517,0.3759471622169177,0.3409425373451905,0.3792056398153958,0.3422105177292626,0.42997206261952736,0.4916593747312811,0.5369981059306957,0.9254618205232802,1.6449842729667046,1.3723578666244751,0.5629288165546286,0.46264178750131413,0.4525346233695419,0.4049047833329146,0.39888102349640236,0.397273087485723,0.34402727092356805,0.36319855492000913,0.3817973056423467,0.46462241149320116,0.56898670328044,0.5070289182410335,0.7037572628192357,0.7199221070779827,0.6803460897270943,0.48561099371061023,0.44022232394850214,0.4615091404510751,0.4160521820809442,0.35753479932161286,0.4144253364164874,0.4220744804438129,0.5917140032583711,0.3894368366045703,0.42811059377051136,0.5662944815681618,0.40466363626893315,0.42588148136801623,0.48632208147252765,0.48897110138384636,0.4967499790379005,0.4517973229372178,0.6322723924806003,1.200201805563194,0.8309891180898625,1.0445393564307184,0.901961539573301,0.7238568065118725,0.6941592875592171,0.5128013014538068,0.5982927818799422,0.5888401337297257,0.4841721242408118,0.46746460853689115,0.5468477197541314,0.4343537044608629,0.44513139512688277,0.4292803292799488,0.46124928410612387,0.4840259879935459,0.5001533656856131,0.5465965138450116,0.5534034761270772,0.5953250184713756,0.56494256170887,0.6218652668942629,0.6538726894716519,0.6655213164671427,0.6822184607654096,0.7519524110990556,0.7719446095641452,0.9647422292790951,0.7621017686913216,0.6421662676354881,0.6994142063966876,0.8047068701747058,1.6802557747794786,1.0985174701831812,1.4515577442710814,0.6673999314532744,0.5772286152156536,0.6423110280301751,0.6684099788277051,0.647285858237138,0.5314041016215523,0.6212623491204251,0.6849134699220595,0.8596855583868075,0.596899241899716,0.8040388567591489,0.8783757474633331,0.752331016636596,1.133029400949973,0.5542864337678852,0.5349233955209918,0.5360771605205035,0.5984727492684607,0.7100040580057715,0.7631121626929767,0.7417913125364316,0.6434106874020018,0.6333626412404102,0.8049409924234279,0.7022285274041974,0.6254357383484095,0.8020249179700525,0.9106446525738838,0.7270026245958893,0.7414524221285369,0.8926483394913259,0.9106897324695141,0.7436468305765926,0.7782815446372083,0.7013119303943898,0.66451949449536,0.5931817423703885,0.576576203353351,0.6556126713159743,0.5689578936792276,0.5860412944104677,0.581302619250919,0.6322019792719764,0.5602454674547691,0.6546381326308511,0.7938228764098889,0.7326687268894703,0.7135316979197521,0.7520245943689334,1.0164141496299797,0.8603921421936122,0.7952848402742343,0.9237577210854201,1.152736348537326,1.0144860671353106,0.8318913018101793,0.6831105515145652,0.6156656724877123,0.8454674177096646,0.8017177072679261,0.8726333005616974,0.7486577565839734,0.6734686872988034,0.5100446182854665,0.42756959470310146,0.5097857516177671,0.46404298478015654,0.4382186024727022,0.5744026278593778,1.3307526569339023,0.5106793398303335,0.5184962876035344,0.6376773222684371,0.8333296417106325,0.4460114506607753,0.6831881257974786,0.694124345549585,1.9674114625332604,2.224185385408515,1.9580147413690885],[0.36359193921904326,0.35908072808505964,0.3901911037025533,0.4489946911863403,0.38769485582911106,0.341083412463801,0.2606893404677069,0.3424442322933079,0.32150676830634384,0.2803005908304196,0.3328974287823307,0.4226848769896235,0.3054815235691488,0.29756931873721065,0.4016584945620429,0.34812719245711404,0.35279597918415534,0.3552875289099463,0.4603090152832558,0.40748659064493864,0.48738716430886586,0.48325518323778294,0.5927650014165478,0.7303368987733805,0.7751639548985089,0.5928392675267946,0.40252007035541565,0.3451347175807025,0.3408719500148258,0.35559198633841316,0.4115505133582508,0.40052495297420254,0.5014176214907579,0.47107791745484656,0.3868406802009797,0.360481575851817,0.36275365021476874,0.37960837917846746,0.35452213421773093,0.3965278745709932,0.618241852691744,0.46234660674104094,0.4420546081973755,0.619766899239657,0.84444998641442,1.5916036353914103,1.6369517263982163,0.9552980655443417,1.188521056452472,1.5859241999749725,1.1492885777192419,0.9855810652605318,0.7908762530476544,0.6361343864785497,1.2654453987754097,0.5556748640181982,0.5801642475636364,0.6737994994844534,0.7704393988960314,0.8322871294671154,0.6261164056472706,0.6461010852165343,0.5230926398339057,0.7109973175541139,0.5181988055346977,0.5134107362324635,0.7228094255358192,0.4935745751502243,0.6105843036222208,0.6024362060769833,0.7841857500195841,1.0461633438984295,0.7744456844102202,0.8376778919736775,0.5746172862357964,0.9812100678552121,0.4732903743831543,0.46034401462510915,0.42372879868131397,0.4549732368789726,0.48562934676115815,0.5674381773382126,0.8446127095025673,0.3904990168046704,0.592054576009572,0.37280855405343266,0.40239174038363384,0.5071922448328157,0.3714012832976533,0.5267174437014596,0.4559992366841364,0.7347830089334996,0.5454365174536088,0.4530917949890972,0.4229442862752707,0.5324983296120486,0.49795998429702587,0.4982132189674341,0.4744239140445142,0.7730202799871023,0.4651724610634034,0.6372848500596181,0.40021652468369706,0.48912373695743316,0.5033242771678957,0.50358851355824,0.7160807451201266,0.41238033676360364,0.44355492535861957,0.7343097561371833,0.4116327127684702,0.3210985920440789,0.2786075309706918,0.29568704798201795,0.29817349822702927,0.3357244314116254,0.35346383196644043,0.38369202637765987,0.48474254638046804,0.43756460241920087,0.4259083343479226,0.36357359393342836,0.4112384397943942,0.3183559936140758,0.28755557718353947,0.3134137638527994,0.4508036459023012,0.38862188743704607,0.39426526173388177,0.42199364870739275,0.4225560206059384,0.46566051052308594,0.41415968211117943,0.4708219586444243,0.45098114036406645,0.48612195139862074,0.6087039036669243,0.43296138730174805,0.38919514353280854,0.36985236482210343,0.5365451622899065,0.6084705745200488,0.4270535052431802,0.34129371463795716,0.31447945359219426,0.3385680770716577,0.2913538705022793,0.3466460001088437,0.31107151950116074,0.38071799706426823,0.44645350936383704,0.5083784785152721,1.0023872619304348,1.6878657258620862,1.3504401813006348,0.5661758609783728,0.4172880532158497,0.42032065641608035,0.36664565924835846,0.38210641214851226,0.3807774759786172,0.3142251572629292,0.3274650478866737,0.3418964727730011,0.44240011405854607,0.5663486143180134,0.5029853951022605,0.677437180159429,0.713254865119513,0.6781212756479704,0.481189445485405,0.40951915504739517,0.4106643329719313,0.38845675959050746,0.31588730013567645,0.3821589879423562,0.3909534018159082,0.6400402678898409,0.36775670756451273,0.42951719966794805,0.5936473829410949,0.3832594003779706,0.4041920769992769,0.44389532155511646,0.4520877583825022,0.44325009433776486,0.45607421741308946,0.6063714207809008,1.1765803073429404,0.7826665111629966,1.0032913839740913,0.8936806634792134,0.7210988311378917,0.7061221245313133,0.4834903549564454,0.535312749499815,0.5549334924103683,0.45784549002869374,0.46575800658283667,0.524157357614453,0.44577735868357543,0.4555657054279362,0.42703289402440836,0.47348568518853923,0.5023595437912954,0.4978627625121859,0.5746850123046628,0.5722418954518459,0.610256780685604,0.5747427993653442,0.6528619397202801,0.6805354990923276,0.6657346589756322,0.7228314953373145,0.7855337847620607,0.795846123312505,0.9714098287059405,0.7933908054984824,0.6842653153169589,0.7330699625360187,0.8262186368564362,1.7737860367086502,1.1253105979536284,1.515998289061429,0.6967459854809337,0.6266645512628748,0.6834775607876337,0.7315090666087245,0.6712806352954291,0.5544618883646432,0.6369630641539518,0.676217056039231,0.8482280956417892,0.5887561971600763,0.80600454619945,0.8339981776965627,0.7378226146981264,1.1092948535250835,0.5761228875870299,0.5221407962993764,0.5536958870149084,0.6212225381281113,0.7333281484400377,0.8100564420038167,0.7922561409018872,0.6722412327495683,0.6620751895725663,0.8689391890172665,0.7375836040630286,0.6415278450848856,0.8292180207461172,0.9276523902170704,0.7230628825078602,0.7623601898602297,0.9225763521486605,0.8878418934668966,0.7661930978103361,0.8128400437143793,0.7333783683856007,0.690424544837454,0.6199963639319406,0.6087312780147093,0.6853835272270791,0.5988118474206978,0.6304463944207002,0.6101560956961114,0.6607581115967115,0.5842349889152539,0.6611024755858275,0.7991667922487771,0.7418976117298866,0.7021085215492586,0.7470855114424276,1.0106614750102234,0.8561534009146141,0.8093680138443483,0.9215750846645915,1.158789440332084,1.0377867510094467,0.8724091907757251,0.7249078922291894,0.6650502192913281,0.9112982339221799,0.8513384747910715,0.9040450412042486,0.771007007476526,0.7006767792854482,0.5228000083755368,0.4286404324032447,0.5253866076885031,0.4634523379656518,0.43162032869076283,0.6157594395428573,1.4437592843407392,0.47503652804282437,0.5243242722176251,0.681864800405453,0.8242374846447053,0.4601311378316605,0.709018414040359,0.7438938714418004,2.344435992512372,2.8986154562282045,2.7722119775302696],[0.3364018427346822,0.31168089488899003,0.34358754203010006,0.3624038080292872,0.3457540474736138,0.34862969649988024,0.26891531975775534,0.3428548279613466,0.30731570880344833,0.2583812137699149,0.3114037192224335,0.42135818291543364,0.2775197468802584,0.267915204600886,0.38574314476894966,0.3322555534253249,0.3350737012796373,0.33177780106979576,0.4040957473228776,0.36731573978255055,0.4310753611149937,0.42149623340147957,0.602513294821846,0.6689972251306995,0.8155086210917629,0.5830381227605852,0.3659567639207901,0.32272077776960834,0.3295291401992075,0.34047478669105957,0.3899620468793676,0.38978114447770473,0.45060479868539627,0.43599262155358304,0.38156274901663906,0.34689403009112885,0.366094987384893,0.36112166626269665,0.32167547892799614,0.38269755336157485,0.6399047426155007,0.42608123645110413,0.387892508807252,0.5842147282691039,0.8187049922188818,1.6246739277433973,1.6202321603991443,0.9473019827152208,1.2020053846185301,1.5770901391474719,1.0966698031247784,0.9540993104488747,0.7792323045089019,0.6158719365170413,1.2155668148743202,0.5192094111376713,0.5386585540286845,0.6123360951029648,0.7601868368871726,0.7460803412985804,0.5665347753026398,0.6323592224079294,0.4940640157635388,0.6225451252889183,0.44947714610160483,0.46603960044319276,0.6561340830941257,0.4501071748018811,0.549994836345553,0.5600234109717827,0.7880555380616127,1.0510456644674466,0.7327830941326239,0.7519462334094353,0.5418927507347822,0.9076762062361827,0.43516011153867573,0.4321254616930417,0.40742719852128073,0.42773701927228314,0.470126934476552,0.5535328764460626,0.7865242309971331,0.3851404230960606,0.5376989785582664,0.3796669525710396,0.38401317654181477,0.511359775216114,0.3647421337668838,0.5052147248685839,0.4226631316483508,0.673616744880088,0.49283269241054123,0.40671739600056983,0.39413684961127493,0.49411422023579865,0.47548577860416036,0.4806536347851481,0.461005889922459,0.72277142626349,0.4720672293662008,0.6246677121098394,0.40263846560011324,0.5005334138193039,0.5251315273523479,0.5160398898031415,0.8113876601760016,0.4314209541000905,0.45275286135934983,0.7180806645498374,0.42563647065186344,0.34569477125193937,0.28189731828276654,0.293654281181004,0.28237740288259017,0.2917712611007024,0.35229999851464405,0.35333103771363755,0.4419353384227334,0.3941923483239868,0.3834024851064267,0.3303358768631987,0.3653079707202268,0.2937408725018997,0.27721743260441334,0.3143227250255416,0.44143503567356135,0.3957644059734202,0.4067749378527709,0.4161073967507972,0.4391934164895456,0.5039558972539591,0.43318871738481873,0.4637608660374393,0.4554756763985366,0.47051145483267176,0.6090517474636,0.43180619527192093,0.40889160095327526,0.35711834352973765,0.5047188050491509,0.5361113530911585,0.39867345945143084,0.3144461019870056,0.2943423642742801,0.29775806285917256,0.268477420666275,0.3255864763859637,0.2972670138681122,0.3608967955184815,0.4366867709756198,0.48646256769822466,0.9846583330258594,1.5731964080671954,1.1679566607205503,0.530473453314636,0.41949338884205956,0.4256977254238134,0.3650638093476911,0.3980826667247046,0.34518600493746365,0.2886333373087133,0.3032184162770127,0.30861012360489826,0.416391790208703,0.5678768910957014,0.4731357675719842,0.654887823149221,0.710266162455781,0.6841962587770767,0.4722424955292079,0.3949722613842226,0.41022954411507057,0.3829617166039576,0.3134011009512152,0.3837619235648969,0.377666661091152,0.6622509574226755,0.35480372321834425,0.4484061175987848,0.6075025687285569,0.39123022870351537,0.4181391538182563,0.46512876832425437,0.4671343694708247,0.4540959899492513,0.4222890646594946,0.5684225056169602,1.1244379947303613,0.7402494026696316,0.9499904134202379,0.7656828609005677,0.6528153661814061,0.6444477673031463,0.46634994460723095,0.5405771712181109,0.5535215675559547,0.4722880303205492,0.4785461410584702,0.5227704474652932,0.4655814514674887,0.47245315343400685,0.44060934543701774,0.48345822585288745,0.5238101193107727,0.5101139051959812,0.5704209985950881,0.5828017104934492,0.6296827366828363,0.5785643717782133,0.6539614079091669,0.6850121350482592,0.6684384525155956,0.7196855947961965,0.7818233816947076,0.790452562573724,0.9689034915062298,0.7931349681797433,0.6891374039235646,0.7448107024237007,0.8388796682567099,1.7824033075895531,1.1451164348040446,1.530606704285427,0.7130361921958158,0.6429075156788471,0.7041586713201884,0.7372627919480462,0.6936296850294175,0.58861173012172,0.6848994512639337,0.7014477531555385,0.88634382522669,0.6358339868839341,0.7932918055614804,0.8356304133968362,0.7354803574534121,1.06346346844553,0.5974078512426851,0.5294633101025961,0.5731874323826891,0.6509123798069809,0.7431568653605276,0.8415861587413619,0.79673252860205,0.7043076210518087,0.67866132165408,0.8716416801660265,0.7572500090662995,0.659056328752267,0.8429649968451611,0.9446692944073138,0.7471371897525977,0.7897137467957811,0.9473601481491746,0.9254661682197661,0.7861580537415783,0.838174468473121,0.7567439869448707,0.7254762752445334,0.6538959189133537,0.635361302584102,0.7149336785886256,0.6246378323467522,0.6501183093412416,0.6376786393028807,0.6761867225527399,0.5939638119757027,0.6845906567517129,0.7923850244681196,0.7379808005503699,0.703280608190496,0.7425246745062863,0.9990207808565504,0.8282110357467151,0.8059651688665788,0.8822834365716761,1.111180967979446,1.0565154825039347,0.8705740248745166,0.7243293630331842,0.6781375318009769,0.9419817270101002,0.8734024233667705,0.9099796752666807,0.7716922545693647,0.7109216817857655,0.5197121398909506,0.444259966455008,0.5169310568301483,0.45677510657919285,0.45132333647507517,0.6320377889109386,1.3387828669865631,0.49134116343229955,0.5252541480888742,0.6405399557705023,0.805524307266267,0.43635478177408477,0.7007888403805485,0.711716725141927,1.8521525901073823,2.313343695174393,2.2102689754314193],[0.30511745363763376,0.34769446715735425,0.38145700735800026,0.3585528948069567,0.37176321401811663,0.3654772381577942,0.27255010812108044,0.35873153826751447,0.310689552053615,0.26540286681349934,0.3246243525656272,0.44140547213250625,0.2981161738773722,0.28747693249663003,0.3972655775967636,0.34788612601942887,0.368851262928348,0.3728047893624372,0.4734201511147624,0.40630779157383373,0.4572232368304197,0.4413547656112884,0.6287498546561279,0.7110229560524913,0.8423129109118355,0.6291354100306622,0.4004506251298274,0.33978347053173785,0.3495407200928774,0.36642424462053463,0.41505662321259457,0.41859008066252773,0.500162589222049,0.48494256967890803,0.41126102865492187,0.3808290368146241,0.37374687432187514,0.3947051586195704,0.34267628073670725,0.37776849441700605,0.6115186122898203,0.48504153546840806,0.44642002897712435,0.6361307202744835,0.8386669030227157,1.599759975795896,1.6448875075833902,0.9641314952594313,1.1911192881116532,1.6190071071888625,1.1520639526705845,0.972600148733978,0.8146648672111522,0.6564770141949917,1.2670130242794244,0.5462413158349383,0.5727721153247896,0.6465783864549399,0.766762179501963,0.7797517307885459,0.6148995320163663,0.6376176087104835,0.5164336307562747,0.7032352872336,0.5123701960508485,0.5011094138037756,0.6977294179844541,0.5061883696771805,0.5947166988709395,0.60850016377145,0.8033513339959459,1.0533991043732482,0.76883143136455,0.8169926901038925,0.5713220590045358,0.9534911303307613,0.4910173681142304,0.468592369635395,0.4318731868258398,0.45786699075037446,0.5007032709877666,0.5597109846180673,0.8278376592909127,0.4007434714470825,0.5865933429114243,0.3950243826354306,0.4151250836884464,0.5165212256205177,0.39130811594423975,0.5386262905623526,0.47591619768453086,0.6940651097994738,0.5245330837350834,0.4478620578610773,0.4248398236797259,0.5256683903546078,0.49592888539096186,0.5023572493511556,0.4900962821026737,0.7949560692190337,0.503351382046765,0.6445946705483686,0.42567282267654044,0.517174202622154,0.5409126718450966,0.5257538784519421,0.8266631263193642,0.4467432046913098,0.46965898347038754,0.717929071845953,0.43101363935900733,0.34989401447557394,0.2919704624009829,0.31085178561069754,0.29757195889344545,0.3279328256485309,0.34667102647488546,0.3899208832556214,0.47499201854591877,0.4248735217116269,0.417536400221056,0.3450856225929447,0.4014177464588719,0.3193571718473181,0.29403293509512946,0.33472763645603343,0.4651758095014983,0.4088583772682212,0.4164753635294797,0.42824424004451195,0.45688271012272225,0.5103460162433869,0.44592313942071016,0.4827978017071697,0.4694526857746114,0.4873963468808211,0.6229077042880358,0.4534681158932678,0.4119050425285115,0.37365776816229745,0.5325802143923732,0.5939692464629445,0.43184768449164473,0.3301085805453088,0.3145513263076885,0.31986814276798436,0.2811090407716902,0.3344992997967206,0.3249211567901619,0.3875827105686769,0.4649944634892558,0.5086804016821392,1.0451311925553648,1.6354963351604535,1.2592095488081012,0.5895279109823082,0.4370262180280807,0.44733514916773803,0.38557900816436286,0.4084132803972441,0.36301009584909927,0.2979386789307079,0.3181629076927176,0.325404323709212,0.4354398182163446,0.5658552780347883,0.4894395139031785,0.6897298556262706,0.7328766172988436,0.6982586568247602,0.49035701384538016,0.4177867001439246,0.4277073485872229,0.383206164191443,0.319208608758819,0.39804706760258207,0.39133729949592716,0.6694996936053174,0.365156241384877,0.4590320760654277,0.5752894964697496,0.3966075248896511,0.4199067245621669,0.46533385039416936,0.4691434406877266,0.4477661332130874,0.4024541320275155,0.5971550589429903,1.1327305689609,0.7595148642281419,0.9862085895871557,0.798554532561817,0.6674725326233358,0.6466828644330207,0.4899558682948018,0.5836216733721358,0.5877269020184477,0.5035841598780358,0.5132766928567973,0.5460368035780726,0.5043287505659173,0.5113874302981334,0.46865551211571355,0.5245930891750142,0.5795755612439257,0.5559062146075908,0.6043419117479408,0.6381175454878059,0.6897072316764024,0.6274317158615436,0.7110110753900105,0.759124436820105,0.7269031505516276,0.7592892976781986,0.8632884003426909,0.8653310099927239,1.05467913264526,0.8918495162492955,0.7704083950781173,0.839817389130413,0.9351562566002283,1.7561578291258257,1.2407266363076612,1.5859542287974588,0.7709669639389112,0.7007158571891609,0.7417469355285048,0.7791469219146984,0.7495792435827723,0.648778317047265,0.7305687131845789,0.7614592792204792,0.9586570377892019,0.6915620193059742,0.7964630221542854,0.9022872181781895,0.7698008653511645,1.071100634652987,0.6195065809274239,0.5598292622407544,0.6058413114305977,0.6863694699308318,0.7783112443160981,0.8840898618062824,0.8395308133857564,0.7450758232404358,0.7357845579553722,0.9323274468919295,0.8019180210862996,0.7078060230461165,0.9044556356237085,1.0029062360817516,0.7973843646934236,0.8631686132878756,1.0240815122157547,0.9948405732989927,0.8554401886281671,0.9260691641675018,0.8461321465806926,0.806925843825931,0.7226771482120257,0.7088300927187773,0.8028701216225409,0.6951975433974144,0.7168225813823833,0.7208561031033416,0.75644034791086,0.6641828992460608,0.7645407703131728,0.8688461608507436,0.8074754272449911,0.7778789245503851,0.8299191946744405,1.0756963846231165,0.9097436363482834,0.8769302801946995,0.9646488538797696,1.1580904688127107,1.1435030370916568,0.9304454727961411,0.7729789930757146,0.72242976508407,0.9502779115749475,0.9002077452764736,0.9589015441621555,0.8084601226409598,0.7414816431510294,0.5448775513792986,0.46451401238403206,0.5387469918856833,0.4826920404031168,0.46908969488614294,0.6523919244560566,1.3744261220657477,0.4895422381609251,0.542107936162132,0.6530476899561298,0.824449651107406,0.4416024211909078,0.7004239869058654,0.7747449874942779,1.7726790006602609,2.378514817064423,2.4727297433909947],[0.3253432380568278,0.4066209582276353,0.4294415084296726,0.33314060729823697,0.4530552611406357,0.4557677094731663,0.3856793865665383,0.41461685492781236,0.42271334282729783,0.41961014815341835,0.442768112089054,0.5335697029496705,0.42413498669107635,0.4417054462975664,0.4960636827691393,0.44929650916543507,0.47191605482491944,0.4770173711770448,0.5867578617133525,0.5097273218114882,0.5202865706525678,0.4999731647549087,0.780520760937604,0.8056625588537424,0.9897438660390713,0.7562004028042679,0.5345278724413645,0.4881804236083099,0.4658388387885008,0.46200845763943,0.5066727115377431,0.5034604475733664,0.5266527198326714,0.5271962436987908,0.4895836574296598,0.48544463366012736,0.4731849752748398,0.4800322250049658,0.4208925127658338,0.4396901598263212,0.6963545590452331,0.5776790371607432,0.5140674265262302,0.7414570342285065,0.9588078332097945,1.7295647954672695,1.793583114842593,1.0799982209367422,1.2769053416106648,1.683994261235178,1.1860080914438178,1.112180845888751,0.9336985870462289,0.7576174926845143,1.2008134834041666,0.5921686740765665,0.6731499113375533,0.6476431385473329,0.765348676073663,0.8216047603509732,0.6423998284513069,0.7455524347445113,0.6099369550989592,0.7045440056681117,0.5886618106511894,0.5733768905689886,0.7374328900934086,0.590780698770173,0.6523499765289545,0.6672233698923082,0.8270015323347047,1.0748333970460635,0.805613776903068,0.8308037306019507,0.6061084489676857,0.870406693795782,0.5594840544237734,0.5420673544090931,0.5217209445067498,0.5363964043353753,0.5503300913822473,0.6440561000377165,0.7836067895597348,0.45070555565661,0.6555742836472207,0.4972217894946694,0.4721624487200924,0.6130511458657292,0.5016786153701431,0.5806825712613203,0.5579729811040677,0.7153767728807261,0.5673376573449835,0.4921459568297838,0.4852365679409813,0.5547788924062123,0.5351260849977285,0.5525415828130108,0.5424613976905817,0.7904006816778344,0.5411262157251256,0.6386721618072195,0.49403044131559526,0.5635372566094218,0.5905934397842206,0.5753049247453483,0.8632867425547108,0.4846832717835585,0.5001621707659935,0.7029540231031692,0.47465404931464805,0.4425473299515779,0.3895602790730972,0.4047695542378381,0.4314745264740293,0.4582991978267661,0.5170666099372796,0.5052115215433561,0.6037663115010129,0.5534031795117496,0.5425759970937425,0.504757246643636,0.5230313026312818,0.4668589645044011,0.4143534741257773,0.4271910400482731,0.5156732366078164,0.4684033636746319,0.4733393559431924,0.4662067367631441,0.5270619052899881,0.5751490198496735,0.5182489050947403,0.5115094739009849,0.5106756609548523,0.5240418499647794,0.6685187751704509,0.5288444568248588,0.4988943065697886,0.4595975552491006,0.6029147933754102,0.6495683322822379,0.5334909525117502,0.4514526562692339,0.4505566033623778,0.43974368104582245,0.4243142159791984,0.4320421555954523,0.3997128140697137,0.44965573635202366,0.492440728493257,0.5456257744175987,1.0357679202832644,1.566520843492074,1.1686757172803544,0.5976330749256182,0.4968080969647932,0.49075223755889646,0.4574996495591286,0.46346569943103577,0.4219232355043021,0.41273033649916996,0.4282726310519604,0.4354193969884807,0.5110817502650588,0.6530987123735787,0.5667343025509054,0.7556550690209162,0.7941771474688606,0.7653431286120123,0.5545511334907391,0.48937423631793153,0.5111869955231472,0.4601891281092089,0.4079805893224435,0.44707488918357347,0.4494292455425749,0.6734413070443034,0.41931960766932325,0.511074769828728,0.6378746283980707,0.45502100138070084,0.487741020537618,0.5648246430458842,0.5671164297254399,0.5660781684710583,0.4797835915824673,0.6244706215945424,1.151031821998588,0.8210691462624725,1.013417305560442,0.8252698309705467,0.7061454362563748,0.693071877774376,0.5454096506885824,0.6652195961896513,0.6471031072114313,0.587256765255695,0.5863581913557717,0.603550502099243,0.5870455724002575,0.5798251637136638,0.5361742122461213,0.6072797228473398,0.6672276345233381,0.6309498094192856,0.6493483185259459,0.72633670363461,0.7934324358817157,0.7009754312370063,0.7786033164117778,0.8603412608394344,0.8368702956492163,0.8116017710375097,0.952454448925302,0.9483568243875652,1.1532379517684779,0.9932374493000315,0.863586033741714,0.9669193234346224,1.0923560673273427,1.7121718075792096,1.4152764060731433,1.6798767122605855,0.9146536679940639,0.8190710283803493,0.8292011344242699,0.8554520697399655,0.858096818134823,0.7800260116130646,0.8533165272007694,0.8905868865512546,1.0774367405136043,0.8145161507379948,0.8590775235343864,1.0479607772503747,0.8514227832976864,1.0694364363125046,0.6851533744434949,0.616444239549081,0.6719965799980819,0.7612424844710315,0.8246509379229553,0.9612445570772136,0.8609330990228905,0.7999494493392891,0.8047972283403684,0.9644613146096153,0.8380478364919574,0.7781559863561658,0.9705828514721381,1.0618953356996088,0.8897391293918636,0.9808905679407613,1.1301829040701505,1.1174588278317759,0.9939310851032263,1.0728933263034932,0.9658983067839728,0.9401138022751779,0.8355172766437742,0.8251316823231152,0.9318451998847141,0.8060223455809647,0.8304468065430725,0.840567699937405,0.8609206080473779,0.7810113310456799,0.9071065702294737,0.9651966571936514,0.9175321220433608,0.8903688583145499,0.9307025068846144,1.194936776947679,0.9930119987128806,0.9502311119105299,1.0435738863963206,1.1959038553790255,1.2238955939785248,0.9965432993223178,0.843646181069743,0.7867963724170361,0.9937920207331438,0.9498228388544697,1.015946216679443,0.8669427871773173,0.7805671359018214,0.6000487938542556,0.5280336639277514,0.567824388421661,0.5249559692115752,0.528965954334112,0.6839419204514434,1.2182154480514003,0.5587794259026616,0.5750325714647528,0.6272293317519508,0.800594893403015,0.45683045533586786,0.693904068990483,0.9668401639762417,1.2249798557663847,1.7970894403307294,2.492369395764822],[0.2998127289539195,0.4913586649177399,0.5304565494579501,0.47043111230702883,0.5555857081109074,0.5960055218656556,0.5354596538240609,0.5169954061647258,0.48573027131222535,0.4683525126176142,0.47282929635876325,0.5638748039596007,0.4745270893607757,0.45227770143814705,0.5207424132920621,0.49926991755241834,0.4453087053509198,0.4583459814367898,0.48556678279415233,0.48527773075532055,0.549891967670458,0.5814465278120906,0.7119442295480922,0.7372786270109427,0.8643570400610947,0.6354647761187209,0.4868736842367719,0.48095215096545063,0.4801809620068636,0.49421697095351474,0.5204731902419127,0.528645140879922,0.5390803620327058,0.5381768596046943,0.5218981980208603,0.5019060482025337,0.5318941183654745,0.50212130719355,0.5268956734356999,0.6122762501394337,0.8529046686966738,0.5228984654410243,0.4908240142437836,0.6708779121225688,0.9962015128784756,1.8343096930816845,1.8261264917657838,1.0980884503643824,1.3699448756453192,1.5910026940974336,1.042787791781902,1.0467450951929331,0.7615430663448229,0.6141188805184846,1.0594893685674078,0.5617111917079739,0.6227627568238507,0.6299250038415358,0.7953472043018638,0.8071440072615204,0.6758836539312306,0.7494373148805871,0.6061426915017599,0.5889178894453735,0.5278222384061574,0.5712370696191237,0.6991953212512845,0.534356705909396,0.6229824178481081,0.6498521884038514,0.8672773542256447,1.1258037293188405,0.8141159468970861,0.7764698192995974,0.6415659827967736,0.8976425985184211,0.5304027707325506,0.555517703581744,0.561377140932075,0.5673458051503937,0.5786184009135855,0.6953875297305356,0.7981136937196419,0.5432957883114473,0.5890655808056043,0.5305875366167703,0.5089133604453128,0.6749836726599481,0.5177923679968556,0.619193348237947,0.5355540502610384,0.7233105118994607,0.5822048376773693,0.5209739202478407,0.5213791878021385,0.5680671455074118,0.5734021219753167,0.5696255814587455,0.572416314378854,0.7385465955066157,0.6072095084463084,0.6838269720536941,0.5744874404264918,0.6579526707010679,0.6875849901086425,0.6591667373341548,0.943432628270413,0.5489698336599783,0.5576143057093368,0.7390137825632769,0.5656326753273841,0.5624139834422093,0.49299401736482557,0.48506625579884166,0.45453464034136554,0.42563907666715955,0.5652529487572393,0.4461276882276715,0.533353059758225,0.5277047374821591,0.4787908933193298,0.47876172204323425,0.4671636967847447,0.44600091135330316,0.4624387590729765,0.47613557589471284,0.5702683001742531,0.5241393509122695,0.5260881886033536,0.5297148195129491,0.5931247967783487,0.6545989284627897,0.5643666621409028,0.561555017244017,0.5309591542338946,0.5437887976165078,0.7085246241038209,0.5633064159605803,0.5475362053039097,0.4955186226947928,0.5658107945625601,0.6112183972965136,0.4949295383640823,0.4704989842646739,0.42979547833181786,0.46466816486566287,0.4577201707211714,0.4807657860078003,0.4893856428581391,0.5250538761089849,0.5662833808892421,0.6118239132460445,1.0323927309832106,1.457432352782308,0.9824362020946237,0.650900415065624,0.5712517051513669,0.5945348649470291,0.5369437176145611,0.5850923212064669,0.48508331396364957,0.47588134395809967,0.49873553958055095,0.48189484437876756,0.5103553633063626,0.760229348197917,0.6376153151137863,0.8169742561998412,0.8641866368444943,0.8424254594521511,0.6201385784166553,0.5156975219013888,0.5043938917647324,0.5132369553231129,0.4863387467153178,0.5624310092681049,0.5340616563011094,0.8285963753685265,0.5252237422726624,0.6483280056796903,0.8509482766438282,0.545264673758852,0.5731345182708597,0.6175735492095977,0.637654139440573,0.6247089693698131,0.6471191756887928,0.6355534773158396,1.2458962337600945,0.8524791364498957,1.0506221975368732,0.757180642374984,0.7413616411700635,0.7960921958507123,0.6187359806454343,0.7093512994591082,0.6794650986587327,0.6582234827091363,0.6420898460557887,0.6959178329593034,0.6530300041516232,0.6242914168026344,0.6100436603606684,0.6753326037632615,0.709227324858998,0.6687717809012115,0.7145831195390152,0.7439037942823807,0.7723868580255584,0.703546545787164,0.79018048639326,0.8143301820568372,0.7854980824436922,0.8024810006821589,0.9080899007894436,0.9405944016003444,1.0781530207569172,0.9694969984349998,0.8662991628447347,0.9055048169357481,1.012475431517466,1.7125168151704178,1.340244915268557,1.6534359510542649,0.885641316580871,0.8032661110624096,0.8389425905418096,0.8638041608411992,0.8552859559838386,0.8370799473802133,0.9230862285772037,0.9492817866910706,1.1591042603495372,0.9248008553624706,0.9444400295727585,1.0650507839234247,0.8672858532686959,0.9939897884318959,0.7108896943908898,0.6645534076446294,0.7478098024994534,0.8095835008245208,0.8333222259765783,0.9560747150960862,0.8681502476586419,0.8273253163892834,0.8044375140663221,0.9517874203966912,0.8316377259597343,0.7777388370436998,0.935460355277307,1.0176387308218358,0.8648520402766063,0.9248759014539661,1.058982041916747,1.071009791034406,0.9129102498982733,0.9771999934366667,0.8998651185993217,0.8837045571830033,0.8157364900057471,0.7982559616480265,0.8752253850705018,0.799215754065694,0.8436267177127085,0.8418660580405951,0.8695867339933899,0.8236349246457403,0.9238819985379007,0.9722130288599039,0.9329225701539943,0.9177757483034968,0.9523669545019493,1.1555220355719404,1.000271025838636,0.9956466911974144,1.0599017961875836,1.1716051117803221,1.2187215931492312,1.035482746901494,0.882522701536566,0.8706853693631975,1.1103296694554798,1.0321734589015465,1.0604263397615812,0.9433633858765934,0.8342489430110995,0.6985362080947347,0.601291196596963,0.5729851346692519,0.5743291162251171,0.6277876700335051,0.7522441639797361,1.068819988223904,0.6471945172362799,0.6314633360358232,0.645774082116281,0.7951908543811405,0.5535423393263669,0.6714141071585863,1.225742626677835,1.0471700617323239,1.9944221159088937,3.0518500247526683],[0.40752587929427514,0.5180592196405014,0.5836687942193864,0.4026316303893014,0.5365922478944892,0.5109234521410797,0.43762073427034853,0.43091106139544083,0.40467416345533413,0.38315352098622546,0.37894839256675267,0.4782358742154669,0.38492665158924333,0.38708920302448163,0.44005267812000953,0.42048536972148004,0.431445128147868,0.42823708691746787,0.5115131119765846,0.46854454931006534,0.500488159045546,0.4912781673955814,0.7923551940375763,0.7975967531444357,0.991541007995551,0.7089282188337055,0.5011811065944121,0.4543316002472478,0.44324319034345877,0.4401722404203888,0.44014975546229246,0.4749611856352225,0.4593771079848331,0.48457087149912703,0.4627119391157027,0.45374229981378456,0.4562329975232045,0.44794314132540114,0.42201139164800056,0.48154983206101687,0.7289903970618354,0.5301281993893888,0.47920176348273125,0.7028182656094368,0.986859108168481,1.809301684578227,1.8857670599859169,1.0715740321522786,1.309966083115591,1.7230212393441824,1.2099029236966523,1.1931970717339417,0.9782973272087594,0.7549105422323444,1.1817094705611244,0.5894752074705323,0.640055019380559,0.6356296005411174,0.7643856730415723,0.81974089697384,0.6460524065703253,0.7132891328655356,0.5517959959753965,0.616455244559711,0.5198115615716904,0.5282832227561659,0.6771200262607957,0.5231436668881413,0.6156035909457812,0.642518067183781,0.8007773915418397,1.0357346014253528,0.7715063856573736,0.7883684305640484,0.5685008476404805,0.8800025809016834,0.5095614821436004,0.49645814172596203,0.4971800105168603,0.5203129484291729,0.5282135259439756,0.6370853447301095,0.6834139663366362,0.5024280346613629,0.6666494852113911,0.48532265946058695,0.4441976399805931,0.6162120473112354,0.47093395049888936,0.5651636711827268,0.4844294148860605,0.6492810088396805,0.49613429349247334,0.4248172689950064,0.43031492024493984,0.4750896771195504,0.47836117073823275,0.49884336150302916,0.49881257499694714,0.7227760971866497,0.5191903173434521,0.6624545119645981,0.5010265002397315,0.592914986198692,0.6212216857971732,0.6026554320680748,0.9340196604508403,0.5637882647181169,0.5664434504499444,0.7219100125704302,0.5295516771690012,0.5014037502340698,0.42563068910319063,0.4313223098565632,0.40930928825508084,0.4377347965725907,0.49830612898582866,0.45818845623929416,0.5428851438056286,0.4926401031349568,0.49964448323484906,0.44597185952142093,0.47416127741472386,0.42326985247548277,0.4008455791188638,0.4704646608103528,0.6140369566950833,0.5264464919000199,0.5796658550585415,0.562824047853423,0.6485740635173548,0.7157546703988491,0.6400064160946113,0.6092206158344367,0.6151499824825201,0.6200766972695393,0.7181579482657054,0.5907603336163316,0.5169768437278076,0.47179161648574897,0.5890988213424666,0.6565321245190948,0.4988271580237088,0.4456446465154474,0.45642624274732013,0.43490646153186613,0.4280848621028647,0.42315626285625224,0.4250854146164827,0.4502656099741358,0.5132583083602096,0.5328118074647735,0.9375960596895224,1.4488703905827824,1.052526838624796,0.5673936864534008,0.4860548540621879,0.4981221267192158,0.4613871847296659,0.4970069005602882,0.46872088297461445,0.42230855452285426,0.47045642246600433,0.47394113109317043,0.5620650440947196,0.6912368998414795,0.6391289871274525,0.8127810440352424,0.8510439146566796,0.820457162321993,0.6156727333060672,0.5560541820931959,0.5924641625118008,0.5595143120948078,0.4717615745740579,0.49273520539622545,0.47609384370265256,0.6821064473545808,0.45903279306973016,0.5655217455532807,0.6988578361149241,0.531129569291964,0.5907323450928543,0.6606937837287804,0.655442875583904,0.6226116631417487,0.5415193599179713,0.6758835079084938,1.2345630597585124,0.8969680631299968,1.0797382363380572,0.8284102217429624,0.7422157953048516,0.7188836491645253,0.6608361027354934,0.8040271638820289,0.7511870139321712,0.7102181614945139,0.7118278632340288,0.7247572290919762,0.6684729725835509,0.641556534796586,0.6218818412763187,0.6822459605066145,0.6937861381713744,0.6644601620733467,0.7190409342412246,0.7419081114575891,0.7813201641960406,0.7083181976519287,0.7586112812013314,0.8338802859757952,0.8425976151184387,0.7669602463214592,0.8924434171103022,0.904317102185975,1.1021637509157096,0.9841405800569044,0.8607964097760946,0.9147097564803148,1.0591862905318592,1.5892227623207085,1.3494784787290803,1.556603128192898,0.9023851605848461,0.8386544986423085,0.8643353999739735,0.8682354814942016,0.9386511701877224,0.8178750186930085,0.8836478818056132,0.9534494060609622,1.1386170592989913,0.9080901487890236,0.903843553496161,1.1544151899074613,0.9499370062258122,1.141380618557303,0.7974337321428704,0.7313350861235598,0.7339828530545163,0.7547013158541216,0.789021321826736,0.9744418446765138,0.8324675232862131,0.8172683769386428,0.8074459782873061,0.9297572090320986,0.8114718888863368,0.7708076787904443,0.9430241896776186,1.0388937205214634,0.8940684198073618,0.9401169888754375,1.0909262560577957,1.1281568455518984,0.944828661158162,1.011480286363473,0.9359790276154579,0.9047210759175397,0.8044930118325343,0.7996087637759568,0.9012925820805431,0.7946753855053094,0.8102443239505444,0.8540637597795624,0.874083613354212,0.8270196509231742,0.9416491572774957,1.0000871829060332,0.944828542429219,0.9711493720917994,0.9937070031585294,1.1964686167548089,1.0213561370217776,1.0163229145901795,1.0923829180046865,1.2208016446784002,1.2576740170849918,1.0462072413692987,0.8890360544366832,0.862389267243239,1.1039997508544575,1.0648218638740046,1.1320777939483302,1.0035483707358266,0.9016686405080279,0.7232650293944949,0.6593046486373915,0.6540607198218151,0.6064763863246065,0.5879256699664287,0.6835959227728118,1.0572665856805261,0.6080169480244474,0.6107287365512304,0.6329487177007435,0.7349475690948623,0.48250788065247213,0.6605113261582272,1.3459088366005196,1.1463815622823588,2.333778413481554,3.7760130333116835],[0.6415783793456342,0.7261759272514793,0.8124830190817082,0.6101088826653559,0.7112334099999053,0.6731019062103261,0.6136165595970122,0.6128574985572897,0.5336092385374813,0.5052424366018091,0.49109378549427507,0.5781274444244725,0.5247447359357844,0.48343291955135953,0.538822066162603,0.5435893554317177,0.5168957675714471,0.5105953125467237,0.5492207968139505,0.5478034032977627,0.5851341199526982,0.600375060505932,0.8531387289762343,0.8450164413760938,0.9996914936951674,0.7262357722174111,0.5881659932585932,0.5575157595579482,0.5449505706514138,0.5624154501314502,0.5471044999872563,0.6082030825077597,0.5914752421544097,0.60000320245065,0.5913789796400151,0.5730338030453767,0.5908230224644546,0.5677608010187031,0.5883483759012327,0.679763248088965,0.8968929438799482,0.6122771720666563,0.5826157366230964,0.7662356298569926,1.109314074213433,1.9512066228152405,1.9938233539952452,1.18298993490939,1.4497816838744206,1.743062196351779,1.2319514004332845,1.2568367789629311,1.0227380289531962,0.7962794244752659,1.170840071768365,0.6872535334504533,0.7340876693102666,0.6849074300042854,0.809392697765479,0.885395777161579,0.7464038980272764,0.8303421276868596,0.652159293181879,0.6574401614000793,0.6047826197265996,0.6155988454882587,0.703247841053629,0.5755755552538246,0.6372184574081832,0.6649534508960459,0.8385601441120103,1.0703399372321112,0.7975629709327695,0.7970511417737585,0.6385301998172369,0.8977995127521876,0.5895766661065182,0.5995086184230296,0.6271118537256262,0.640841407793699,0.6275311124483488,0.7538241503082049,0.7798375840705484,0.6450594970081466,0.7554938909982293,0.6181806601424409,0.5743829642828149,0.7391582390812661,0.6017592684563186,0.6748715576961352,0.5685165776891947,0.7125349825853584,0.5746866995899984,0.5560053714753393,0.55451212662499,0.5883153376210849,0.5838205962561586,0.6261889309569523,0.6330868158694688,0.7804139949174138,0.6705265475742778,0.7991346869103727,0.6647514849064048,0.7610046521897202,0.7977978014704181,0.76879869805047,1.0799208923325196,0.7740437812552893,0.7803052491570556,0.8669028406040051,0.7224691845482488,0.6891141409482376,0.6064379593736735,0.6023065321272428,0.5408316189438973,0.5386287828116699,0.6056393958852712,0.531084611209452,0.5827906815308356,0.5432272942714461,0.531860306013357,0.5031124534718737,0.5275394849084992,0.5151084862486515,0.5333284191722171,0.6255915460747348,0.7641867648243444,0.6985480226372017,0.7725314145260948,0.7646045832483677,0.8438630720872098,0.9057315423323025,0.826028815705004,0.8075072189910979,0.7985743194661127,0.8007433610458918,0.8974937738271005,0.7535473326856578,0.668651699851266,0.6292448217586695,0.6856071119572944,0.7423595355489055,0.6099066704593353,0.5834728769616964,0.5774660358786452,0.5662605837157314,0.5660014544757831,0.572378737673675,0.6051907410716728,0.618493339526752,0.6826761272123019,0.6820750852715561,1.042602630544604,1.426196213739785,0.9886662148567036,0.7143934152826878,0.6425127467687822,0.6628214869640342,0.622356936440707,0.6892074978963618,0.6451480191669362,0.5906213737190261,0.6343363225457325,0.640736029945748,0.7200746193724202,0.8781451798728417,0.8156594296334594,0.9581361118131803,0.9982380472378855,0.9628217698828683,0.7944016752028136,0.7295122536879038,0.7552182335132914,0.7244171611261095,0.6531078061592587,0.6680700490304206,0.6371529055768954,0.8502761850510302,0.6357439889575079,0.7481194079340121,0.879152532066891,0.7118414769866899,0.788085338339994,0.8428804901046214,0.8372517921873495,0.7868254625593154,0.7358714141938525,0.8169315050305461,1.3831795639992555,1.0301998577405975,1.1988015101250813,0.9634056978118731,0.9137095541522671,0.9120077048623911,0.8590784654661178,0.9761811588562433,0.9102877790339303,0.9279434151505671,0.9236148432860972,0.9144588778047248,0.9080602014364065,0.8758602486898407,0.8442781522207978,0.9140138908424633,0.9275130558684912,0.8840114385225644,0.9254117933302257,0.9669060820170527,0.9837963678301069,0.9066039144710565,0.96114942932096,1.0267360331412032,1.012650097844916,0.945513198261254,1.06174612347884,1.1029624256231714,1.246318606585397,1.1955947951276016,1.0799713315298454,1.1166603112728803,1.25020432708508,1.6525913698181134,1.5150188414916772,1.7108776396403391,1.1114656819201283,1.0659711150620927,1.0833908439714408,1.09744977960714,1.1443971726629516,1.0793769580453523,1.1392149645370884,1.1855546270463528,1.3593072214162103,1.1598771511837012,1.093256824331025,1.297426964180016,1.111445583881207,1.1835029431611481,0.9737833358355136,0.9276472077347544,0.9820831659963346,0.988968165537534,0.9817578476981971,1.1758933718696354,1.0216664321983302,1.0311289717865244,1.016849440833285,1.1180081657409708,0.9729743616319625,0.9731208191996208,1.1132077506346287,1.1791533211550345,1.0668665408940308,1.1202541350563615,1.24178734222627,1.2627268319503804,1.1217623507408365,1.1814929736154915,1.1339529310744954,1.1117302314361655,1.0190748853532727,1.025503118762647,1.1037953663055373,1.0154750821520928,1.0491930475969373,1.0859976391404043,1.1004513915220575,1.0757760184140301,1.174461955214151,1.208521493337692,1.1591358896487234,1.1651738666817482,1.213000813340829,1.354579918262582,1.2053160424130276,1.215684331174515,1.2951399310344416,1.3778429278970499,1.4138468338074819,1.2371570104017178,1.0965616700759586,1.0607956392084474,1.2959086262758377,1.232032345145703,1.2896319847944522,1.1890675781253097,1.0688916522093062,0.9112505108023252,0.8644058256093574,0.8062228186252084,0.7919211484849098,0.7943597280130197,0.8930056388669846,1.0716002318606053,0.7853454493753419,0.8118137915605859,0.8382301338987174,0.8351178422298227,0.6996589725430415,0.8005790488926605,1.6805620120455562,1.798963447127564,3.2329066951814296,5.09647549971841],[0.45525469675145935,0.6527942374045977,0.8237993751565783,0.7032854704409207,0.7678119306917047,0.6710564165218367,0.6246717646692951,0.5947638450363156,0.5384886405035473,0.5523508024201615,0.5178077715996467,0.5770717027201344,0.5719074205442252,0.55725404902514,0.5922144855179121,0.5978362513794891,0.5952736829981216,0.6003320877111517,0.6442073735367447,0.6319890035805853,0.6790540320735816,0.6956322662553476,0.9640137553963029,0.9292340781900927,1.0702372903292507,0.8031528135307985,0.6846294857655848,0.6522284736492154,0.6308850248546813,0.6099762755159018,0.6056836223084893,0.6258787555447567,0.5934945292380721,0.618999420782743,0.6367307955663194,0.6306152106085796,0.6350415769399947,0.6454328933318288,0.6474378106391768,0.7352809804950107,0.9593936362888309,0.7078368554846137,0.6791784353931543,0.8343817847977943,1.2108971427320592,2.046200416819969,2.103378177914803,1.2630923875939102,1.5045909798663357,1.7919276856819253,1.3005465209819862,1.3264523721446961,1.1139398859987095,0.877027176231622,1.2317533653635562,0.7667997516338961,0.8142559932930414,0.7427614985628731,0.8346732290261247,0.9606883065110448,0.8146199150414852,0.8767942097100976,0.6880223103099514,0.7160609259754345,0.6860117901235504,0.6826957986748489,0.7638712800896349,0.6564045444697846,0.7219084634451947,0.745637672214218,0.9131326128609654,1.1084031050002752,0.861699160508025,0.8666414702581471,0.6936469121698742,0.900200647684116,0.6568321439827126,0.6488668322703193,0.6741603197432583,0.6949897639433553,0.6876774200056156,0.8154134301099197,0.7774014442582041,0.7159811969327998,0.8334826281251505,0.6889883832308695,0.6408586813246583,0.7887530867209814,0.6577408058030425,0.706092251361411,0.6247439748440289,0.7709128985744305,0.6216438771896198,0.5656807359747973,0.5738291141705034,0.5793478486151176,0.5844999157625707,0.6221821292026517,0.6200086473364522,0.7548752542904753,0.6495614363065015,0.7550515170204992,0.6577780896968701,0.7426964776910204,0.7996664537466962,0.7762334014972271,1.057564766513563,0.7824525908574064,0.7850437785223651,0.8637858499260754,0.7205011646165991,0.7130803648619984,0.6298621961616803,0.6669814075725831,0.6125470574552748,0.6324747958765699,0.6997684873384676,0.6290776913438983,0.6747833508581401,0.6277434623218379,0.6160593673278222,0.5930870802620051,0.6217341541045545,0.6022092221188297,0.6034343261518623,0.7012774803910466,0.8161087233772885,0.7280709573178853,0.8058535745949917,0.79315482053485,0.8738009426475045,0.9267671188094102,0.867046652782048,0.8396091192962662,0.8492802689860205,0.8619237636870127,0.9264652201691304,0.8232696906723455,0.7397444503544494,0.7060589881959559,0.7602208149437361,0.8126740845977594,0.7034742544845127,0.6726762379765604,0.6732439417010021,0.6472443839419685,0.6467362140764846,0.6234574437539491,0.6386332538354645,0.6222392244190577,0.6524235806350346,0.6439030998232821,0.944555064418899,1.3548480242637555,0.994056162137615,0.6594748300763276,0.6233629274271684,0.6299970031032158,0.6286546486814274,0.7007684351031532,0.7027745329447275,0.660725527408172,0.7119155888049838,0.7124743825468505,0.783141742211665,0.9426735073878065,0.8664880228966567,1.0036780085047623,1.0373353039459559,1.0036547223704784,0.8466273851542704,0.800209128552541,0.8258194015718427,0.791612218419095,0.7165246583794471,0.6968654763728184,0.6778744486804767,0.8254232478083292,0.6837037780853591,0.75764266885518,0.8737503358079652,0.7485714271717643,0.8294842667627509,0.8867767530735344,0.8790365160371614,0.8424308349797157,0.7933479547502914,0.8885672923270447,1.4478527254817293,1.0919587221140745,1.2404725140384585,1.0216931348994838,0.9571084414769192,0.9430657472963145,0.8910753315214253,1.0165858915118948,0.9456280986733215,0.9492028362485555,0.9409488516102498,0.9357367149968393,0.9131024613465987,0.853937742053089,0.8510552652734571,0.9075875769246483,0.8958984593767816,0.8600978698860153,0.9246127168991216,0.9341305517253374,0.9377461199989761,0.8833343975182129,0.9235928781200224,0.9825282438498737,0.9963180088396705,0.925469521497667,1.0148640590182776,1.0218611395037749,1.2074637720190982,1.0737296047275087,0.9957351895760326,1.0173439305289913,1.1634424226981641,1.600143328169872,1.3879038471017182,1.5336832334569364,1.0408716643650118,0.9973736852277247,1.0184423977619643,1.0391944314825046,1.118672196054323,1.0187379204565992,1.0925276282455854,1.1456823673909182,1.3195165729969054,1.131531838809088,1.0776069398359198,1.310951112890806,1.1090316983256279,1.2514995924702996,0.9971315362035132,0.9555667675469509,0.9571786270809977,0.9419312954391406,0.92382358941593,1.1009204013961522,0.9475484824725546,0.9800411819335102,0.9525539090107548,1.0074972389118997,0.9059786120258202,0.9098019310464701,1.0269530288170512,1.0853374150815813,1.0074312294156016,1.04695839367566,1.1466304853696834,1.1947119044503223,1.0633190891227358,1.1180074365768418,1.055014016593565,1.037935979698065,0.9555013144844866,0.9530469091164567,1.0237743670824933,0.9574841226831095,0.9835138559813903,1.0097122017422284,1.021692317821247,1.0182743146678084,1.102262189243513,1.1420088698244957,1.0937222774998108,1.1240840253467903,1.1452835781060446,1.2789725666936749,1.1424145934137881,1.1592345125843493,1.188183246597784,1.3083465274159496,1.3253311825119156,1.1784910647019309,1.051183508852675,1.04262477985842,1.2842471856881392,1.228600997778456,1.2784307989365369,1.1908806156128993,1.0822027190169203,0.9233562879101587,0.8932474241247543,0.8465109124233665,0.814929628259004,0.7861394864825775,0.8218113189067022,0.9540841740194103,0.7644309603213074,0.7828286119698779,0.79194768413042,0.7496040162882585,0.6596417657631828,0.7637065900369291,1.6185845025626844,1.7946874251583311,3.3756420117959034,5.26912006535025],[0.37322053333490385,0.5962455715486213,0.6893011241563645,0.5880060739068311,0.6592290202740317,0.6343050382740365,0.591800464016861,0.5560132079490819,0.5295271973211039,0.541127213346537,0.5251523058304247,0.5796194013042256,0.5480734374485468,0.5474658481745577,0.5884615373034523,0.5779923286677883,0.5565102795512626,0.5599123775471265,0.5908316032766547,0.5772923089574467,0.6236344170946988,0.6380485987177762,0.876700553996574,0.8589735542312708,0.9819034316109447,0.7275259703859182,0.6000719675193152,0.5902160084396809,0.5791968976456767,0.5671846311298007,0.5865976806229112,0.5971497992363765,0.5767619467556719,0.595260417956546,0.5932719352607958,0.5839410432219234,0.5769169661304061,0.5779021824383369,0.5914850486524921,0.666133874927243,0.9107864566928127,0.6215806136694116,0.5894348003315274,0.7646235436871316,1.1432836271024405,1.9897386421036274,1.9918315567433673,1.193244618668309,1.4665042314773187,1.6904977702444801,1.1854408818963735,1.2123863789679188,0.9785788435113641,0.7524445173720489,1.1587061469088702,0.6684500048760157,0.7238709848988191,0.6780102698836261,0.7988577147249335,0.8737429959963625,0.7461961507246487,0.8394725779359324,0.6608651056000462,0.6738167071248682,0.622469127774649,0.6251263289018373,0.7168044673238286,0.6100342407051378,0.6828416605804492,0.7136591166396488,0.899538094203765,1.10517017069917,0.8422124509667133,0.8226445117851038,0.6690490449008293,0.871186795204996,0.6076817185064347,0.617313502016287,0.6310402602039007,0.636010487933341,0.620303918364646,0.7338280209537147,0.7437844731419624,0.6016235947194822,0.71980176236414,0.597356379200436,0.5685113568608141,0.7242959571020001,0.6052535462590388,0.6766394635674947,0.5993430598946103,0.7696039714453543,0.619568332266868,0.5704672000676475,0.5775959304799485,0.6041079697944512,0.6066869065106653,0.621734586470796,0.6130065318259705,0.7438610259380658,0.6213523919312908,0.7214229557529691,0.5979561614848242,0.6688608307794708,0.7142866854247186,0.6854160282177558,0.9767387561263243,0.647790111615536,0.651245185680017,0.7755867727346235,0.6311441663122922,0.6283644481691748,0.563371352922917,0.5931363131812655,0.5586984728017342,0.5542073330178665,0.6439401776441461,0.5513801076488354,0.6046479666875828,0.5815607830804439,0.5623563476775262,0.5444435718159222,0.5587171340932044,0.5531482702587069,0.5568489931544385,0.6193087240882236,0.7268409887754844,0.6382788297133296,0.6800536492497385,0.6658014953120429,0.7268984959479714,0.772734433571804,0.7123512015212469,0.7092388623572962,0.7090951081881423,0.7327163625301093,0.8373104998947467,0.7220067851387137,0.6737928986649907,0.6310722605145449,0.7023117047337417,0.7433179054210606,0.625398396806387,0.5941850290805282,0.5752932811202159,0.5716869966808042,0.5688510709177279,0.5556423885732974,0.5651946603353126,0.5805818104216589,0.5924075453864763,0.6089686978201105,0.9156063229693064,1.3557671868722962,0.9979951221360565,0.6200062633402825,0.587214606976844,0.5763631232075762,0.5752289977571624,0.6187965731674047,0.6010063509579745,0.5641020551486052,0.6183657841342185,0.609670958989554,0.6784288422091987,0.859924141639105,0.7650806217240408,0.9238725756631678,0.9611746570732556,0.9427539066158596,0.7425665551905893,0.687053337725916,0.6982524914841561,0.6772314178337223,0.6043704472774424,0.604111236911542,0.5945598843918872,0.7791728879063574,0.5845325844789993,0.6814404799157241,0.8364770490499569,0.6357946310940217,0.6939225961344676,0.7561559709450076,0.7697853210006703,0.7386962846246535,0.7093799215218118,0.7774917137179062,1.358361681046981,0.9816591441050174,1.1554745764980159,0.8972126081491317,0.842006265854056,0.844882851095405,0.7495938649091607,0.8347855567604572,0.7907201022227528,0.7708897001573477,0.7507961777342412,0.7691286140752557,0.7103596130932361,0.6866297145072069,0.6826522355384396,0.7228580709123951,0.7180430968043857,0.6996810503205892,0.7588380929124972,0.753898801946558,0.7753884351578051,0.7302047807289577,0.7657049145938761,0.8058111210961698,0.8434615221887309,0.7763208212340107,0.8547213689938097,0.8840675297663778,1.0661877307833556,0.9238049721921044,0.8200943329303644,0.8517281540662192,0.9762068046642386,1.629010590338927,1.2633763823089719,1.5263629102441225,0.863540231814725,0.804960304785733,0.8546777242466174,0.8645702855687625,0.8904780622513508,0.8199835113638637,0.9160950656632408,0.9475867380177845,1.1311871224709749,0.9342833032522806,0.9128659810920718,1.1012801253220215,0.9201613737400366,1.0730038903746868,0.7861459141803281,0.7638729721222204,0.7842710165898363,0.7938230929389917,0.8109536877239218,0.9532946814274597,0.8211741512230698,0.8340911293840892,0.7986717559816365,0.9040299750878033,0.8032632829377873,0.7712055560506155,0.9087102858035485,1.0006704507208863,0.8863848149287109,0.8988128431285515,1.0212000977881757,1.096995078461412,0.9059899006170695,0.9491773492259532,0.8751452848911321,0.8608288284639348,0.7843639565992662,0.7744163336861851,0.8479815954560193,0.7778987991922601,0.8054534509588981,0.8124678907880484,0.838092124718722,0.8218627597423875,0.9127260699453004,0.9570238513181576,0.9257453990108052,0.948308270578532,0.9550970396948618,1.145177561886527,1.0037884333916636,0.9990462483279027,1.0223404939514,1.1578508405876062,1.176546056769483,1.0195479219631298,0.8890660063037071,0.8927761455195169,1.1414422430399773,1.0749583286598332,1.0954337170446047,1.0062920868090952,0.8973789033342479,0.7752582721864707,0.7195965432691794,0.7236317871919116,0.6807813606070451,0.6650303036179536,0.7078977623726781,0.9656706643852648,0.6872787371369492,0.6572395466157003,0.6590037848050336,0.7179446479309571,0.5704579414987769,0.6707459946867663,1.4028431412631621,1.3258273679107102,2.682819417941703,4.083439597099446],[0.3084363101988566,0.4237023903254264,0.5394563247226704,0.4056772989372892,0.5328000390759327,0.49369966554267186,0.43718066412454015,0.42272230496743995,0.42372135206350503,0.41620952440744596,0.4056688538180169,0.4859961008719481,0.41582757276616594,0.42748563743349804,0.47915171037181087,0.4547873125019806,0.44422424706803093,0.4459834636822162,0.509909097178116,0.47380510199814935,0.5222770592696355,0.5225302035092501,0.8218020754063208,0.7969569657993478,0.9793686422599581,0.6861091407116587,0.49837048870470596,0.4676619181078804,0.45795240679762234,0.44439347786190775,0.47179329872377956,0.4914023918486819,0.4757395328168035,0.49629016200850795,0.4855816294047521,0.46465204737353105,0.4747537281657111,0.4568873924669767,0.43992451487434414,0.5112694084110329,0.7568075593991258,0.5303684483409538,0.4868136797304957,0.7060758513119055,1.0361610617400336,1.8730155855699173,1.9364086417520123,1.102500797474892,1.3440143767858896,1.725945362549454,1.212205701320498,1.2125132150628035,0.9838048705014673,0.7584486284956236,1.168267224698737,0.6056692281041985,0.6651902325409303,0.643083624904556,0.762034298038775,0.8404655018345933,0.6569316746042299,0.7329650544879067,0.5584178253661726,0.6011198918197668,0.5248473729627059,0.5370922147588918,0.6622631051018198,0.5191918590381107,0.6149543678832224,0.6566545558900221,0.8316055333512684,1.0445330669206048,0.7927433245315068,0.7844710271063371,0.5974755889079241,0.8698343413181227,0.5203309459103671,0.5139031586763148,0.5172515369590687,0.5357481096553299,0.5268851236835971,0.6490238822125067,0.643335653426036,0.5163836352335587,0.6727514232780974,0.48775437576196606,0.451919263620874,0.6396107120728216,0.4885186768102784,0.5798163888502498,0.4972273399360735,0.6987462403475522,0.5267883482499454,0.44831438572784815,0.4562409721616661,0.5007667655128294,0.5123951878598737,0.5204183503940845,0.5093610132952636,0.7053858035053563,0.519332119939555,0.6500834600700892,0.4980561020241933,0.5672491653864195,0.6089353969304628,0.5922685787066392,0.8815160388075062,0.5638020911229535,0.5667354584868345,0.7021315711620381,0.5284669900208359,0.4975047778825922,0.4223156222026937,0.438120299144265,0.42486286540369506,0.4446464537948759,0.5328580699134596,0.45010421859247235,0.5448055682912953,0.49335508979056447,0.4866798333076288,0.4542902450209894,0.47159238260380304,0.42951581027825564,0.4175330752134904,0.4677460228493845,0.5915602839162479,0.5065331814597277,0.5682310762108109,0.5591108130690247,0.6324025370144919,0.6936613561823302,0.6339366335327326,0.6033370447505121,0.6159412048843341,0.6368609553102204,0.7151623754637068,0.5901354943728495,0.5131953836735379,0.4734892286599267,0.5740431258917691,0.6475322946905947,0.5011036520324521,0.45173941029093373,0.45529088163580367,0.4460870425324666,0.4379954158480447,0.4271627516040995,0.4251924866053259,0.443239029128162,0.4904414608924897,0.5142156588238415,0.8747856975427432,1.4082516831689496,1.0519454556334145,0.5394787658030379,0.48349379621015276,0.475575102808862,0.4664498031867951,0.4902078593301049,0.47281908429706093,0.44142141160877374,0.47919578611418534,0.4807609089319566,0.5637332029638432,0.7248870478577345,0.6386093793192712,0.8152217053357904,0.8574304091426865,0.8222856401274402,0.6182922551256056,0.5643393911295828,0.6024546237527512,0.5614684688523346,0.4799468956393821,0.4869898593532634,0.48349241438283763,0.6431948868711834,0.465322538083591,0.559270622682442,0.6944747975894474,0.5291397530676825,0.5851215161733982,0.6592549018969004,0.6535850046083466,0.6295343093231273,0.5721483231764466,0.6898818190648616,1.2685439543981056,0.9177797655137683,1.0905216974880834,0.8533776984986383,0.7660368046177505,0.752383900947169,0.6645765507838551,0.799660862251324,0.7485106265564423,0.7065280405679539,0.696912895988554,0.7159747744186759,0.654987265608589,0.613939023963583,0.6060488385912323,0.6625421055343662,0.6644915987496504,0.6377071188567252,0.7050533221271685,0.7195076387784521,0.7404650201285552,0.6928769456710556,0.7461325050467542,0.8013797385870121,0.8216906304699297,0.764936049213541,0.872888905218043,0.8693303546264972,1.084272340925979,0.894683694458314,0.8115516610770646,0.8471482878431491,0.9803315144795299,1.5962341688752997,1.2383398129227075,1.4336183839021488,0.8412443701312996,0.7742505129792316,0.8065334012455162,0.8177982612959155,0.8907541457539317,0.7673329882472055,0.84968374025082,0.909773517650224,1.0952822418832078,0.8721122426809983,0.889121099002201,1.134563734046017,0.9233112105454037,1.1574774635633036,0.7846446667757349,0.7310006963320768,0.7114324299228755,0.7268267434769303,0.755799925905399,0.8938650858581192,0.7597251526504887,0.7593645562794064,0.7450933868486741,0.8451616210425921,0.7472490813152037,0.7184759123089127,0.8610092092737629,0.9576582950952625,0.8402494400091053,0.8630043813599979,0.988032092257345,1.0624359322592771,0.8836514162442788,0.9325845915680628,0.8553440592753471,0.8329529283315303,0.7459597201679515,0.7414024617822417,0.835890496993215,0.7509268768712928,0.7561816128149109,0.7882000013662429,0.8118076859000567,0.7649070060410412,0.8776829398169895,0.9555791623063258,0.8818964790512304,0.9147901270664139,0.927856241592177,1.1303270420139044,0.9668551184712622,0.9425596047858668,0.9874537511930079,1.1548012649823198,1.1648054847142104,0.9651403053844967,0.8292849775926363,0.8146898547881997,1.0313039930689947,1.0128424356032628,1.0685595556011385,0.9486052782047534,0.8764345649625341,0.6939162843566853,0.6413919947192734,0.6423733606261808,0.5988580843141184,0.5740150697893409,0.618033478773593,0.9593348471002751,0.6020992780531892,0.5689867180309022,0.5555939361101003,0.662209330039376,0.4410802125170458,0.6338887129066823,1.2127168256729572,0.9908698192085366,2.194627212345885,3.4910566199053705],[0.3076625860586502,0.3406705592402322,0.39997999875364154,0.30108568975251,0.4349665577344752,0.4380775501836403,0.38499120967010686,0.3913286269696136,0.38305416863677333,0.36840715458565537,0.37264724171890223,0.46861577773311913,0.3658373699707624,0.37262312623201604,0.43560810218820273,0.4020978220845183,0.39713770544005506,0.39867475289523,0.4681697724409151,0.4198222267229705,0.4713521935815012,0.47446723888679887,0.7491416060405711,0.7361791843447376,0.9186305408720535,0.648044007212988,0.4369953561486795,0.4096257336342599,0.4079592183418487,0.40295578366209783,0.4285111254365541,0.4422545693014152,0.4506161930555162,0.45812416255174004,0.4408494076127616,0.4107077556873466,0.43640745119583635,0.39915290679105825,0.37690185675622984,0.4524272411399866,0.6993737490563666,0.4859785854791893,0.43930843108460416,0.6492175068187961,0.944429381483451,1.7649981663976737,1.8004337336240872,1.0297129496646236,1.2807933456142664,1.6596112003896615,1.1432489423536651,1.1149607792493672,0.8992128611946593,0.7037192295769731,1.154620946955506,0.5374611556368605,0.5889033489474038,0.5888839427187053,0.7232259036147034,0.7915945066222547,0.6163785531702533,0.6934212173798882,0.5158326182406299,0.5802125402561644,0.4827981863451189,0.49479975764793876,0.6558237839553628,0.49569637486850576,0.5942192460013572,0.6179090058815865,0.8234899234450902,1.053777897644791,0.7649884071354462,0.7753920814446426,0.5657694460708961,0.85875990223232,0.4833005899115362,0.47177882975682706,0.45670560990493,0.46648744844553697,0.5010584686313881,0.6086552011123693,0.6921374926854237,0.4447482623867384,0.6097661162322169,0.44913885801533077,0.40855681946117667,0.5868605960747518,0.4223143120110906,0.5493267929446144,0.46053393015589533,0.659258144543071,0.49587475270348774,0.4158703013707664,0.4203949749161923,0.48305359915195567,0.4880126471583131,0.5026494689731446,0.49336948374601963,0.724852898193365,0.49445627830907624,0.6526521279156535,0.47717798618495455,0.5462480566855528,0.5792332723457432,0.5685992125160195,0.8525263395145615,0.5039013345575744,0.5135776841645049,0.6997811263298235,0.4893616556096586,0.44804707553791967,0.370918622191056,0.3733662673623526,0.37276956999822614,0.38455062563003717,0.46768725208370027,0.4114076767659434,0.500883773396978,0.46260996733345056,0.4436104572934348,0.40985530628393424,0.42796980331891515,0.37583199355925284,0.364740897023248,0.40054042827210234,0.5057337033561642,0.45411738058342105,0.4893266357634276,0.4831365596466052,0.538847000365609,0.601738502385027,0.5249593549084807,0.5171938583227208,0.5131720613348655,0.5265789321682959,0.6468862524082869,0.500535689920118,0.4600343322932088,0.4274766666304326,0.5454849636970746,0.600802388993573,0.4625318097854162,0.39310084295929165,0.38008113881292643,0.3819444377371913,0.3708260358261662,0.3866559946228116,0.37411310160173755,0.41071621113007606,0.4726195635988471,0.5031791581553381,0.905158096213385,1.472715684477868,1.1165552733121873,0.5367660038281715,0.46232637508256025,0.4571213891933733,0.42874665054101346,0.43831157060470405,0.4089576095762623,0.3741902858242923,0.4025390773724605,0.408602288403269,0.4856529662583245,0.6667880361120334,0.5600628802255312,0.750767661882567,0.7990652638122417,0.7655923033406703,0.5453082939357284,0.46368472069100847,0.4944580068957233,0.46937344324654395,0.4029446184698714,0.4389536775921096,0.4326580551119206,0.6356672271391959,0.4087541964212341,0.5091151660688159,0.6736959995277005,0.4668295804934317,0.5113393151156318,0.5653753051120015,0.5505066006233952,0.5399233568332745,0.5013748775267725,0.6096298126683558,1.1828529509052248,0.832434210815771,1.0177103664604101,0.7855165214574312,0.7003023145671115,0.694282816887594,0.5556792131933304,0.6681899876618368,0.6450054171438214,0.5989628879795664,0.5927030309912646,0.6238294332414382,0.5616911198627154,0.5320266404818212,0.521566644899609,0.5783759306117768,0.598096737060512,0.5784109283883713,0.6346673859416048,0.6460539084838913,0.6749893090999284,0.6301032963294015,0.6933609830874298,0.7238718539675613,0.7235059891097324,0.7209065216044583,0.8038690315404695,0.8238247310082083,1.0176418128844555,0.8309935440367069,0.736986275868716,0.7791431109373693,0.8905154686174697,1.680460086742512,1.183681620204315,1.4831891594639235,0.7617676461894162,0.6861200977732556,0.7397399884950484,0.7638286765906787,0.7782800420017055,0.6845443985332799,0.7825166979137492,0.8220563888304832,1.0136271137840411,0.7778927121970224,0.832347285833524,0.994778850244359,0.8179999881624272,1.0933484292402766,0.6809111173749514,0.6242413690477603,0.6410868551706342,0.6844710059758129,0.7340065883843344,0.8439976956792311,0.7501734979830975,0.7159796156650367,0.6840234352944459,0.8276599777659229,0.7295003817987004,0.6716774228679847,0.8249658542553181,0.9303760672351735,0.7769227293155062,0.8043886082459817,0.9441114176866888,0.99023106635545,0.8101368344787513,0.8518835743102017,0.77422020044743,0.7514817238862563,0.684254664596206,0.6709168003538146,0.7503292984416716,0.672794261764333,0.6920708353290316,0.7010615543387528,0.7351991028037222,0.6800535832148416,0.7795238428607836,0.8646406299552832,0.8076803237548354,0.8056341714397497,0.8273649262733543,1.0613110119163296,0.8989483091217779,0.8757003568673268,0.9288505148695891,1.1270413080928567,1.1001305492755193,0.9102747602527977,0.7705116754832367,0.7393103414064467,0.9777543970278565,0.9396162992854414,0.9848760824923773,0.8626864122203679,0.7915991667777167,0.6253573874198234,0.5438388905970988,0.5709335437486839,0.5233391467803017,0.5216628066133985,0.6079075674688283,1.0870343624764953,0.5731728805797508,0.5257678451069338,0.5366962479245891,0.7346519957934161,0.40496125964648994,0.6347174988925748,0.9301334987154907,0.9367811736702945,1.6102240664129985,2.1794640550764877],[0.2910453907280431,0.3543471640119287,0.4117260765661674,0.34859663198703317,0.4795090351792335,0.44442375253820093,0.3825988021236903,0.38888673150949105,0.3802688999357346,0.351614423181936,0.35399262864133096,0.44579150807373336,0.34382648840234004,0.358171434278627,0.410954905664574,0.37102023953856955,0.4215021508589159,0.40120442069373224,0.5280611761674606,0.45089087988163,0.4795655844957761,0.459383095362652,0.7686094277306484,0.7770428548511015,1.0018999092930867,0.7293764255007055,0.4981379334184001,0.4477866062351808,0.4206155969998169,0.4124721774982069,0.4094166147800097,0.4367669244476766,0.46288534342088244,0.4558809944985113,0.42411232878111127,0.40869440076223307,0.4304209225826431,0.4326235650309511,0.4003038358448732,0.43019603891811,0.6274864570844135,0.5602386668392607,0.508140458327496,0.7492269054551517,0.9332090725817722,1.691526958354471,1.802215018767293,1.029108463941617,1.2498790334287924,1.7541327229178132,1.2552802579424567,1.2025220669809913,0.9970634990573221,0.8187916781193673,1.236248109297249,0.594088100324646,0.6705426757128241,0.6540885898758501,0.746607852024335,0.8829998997282602,0.6580199138655817,0.7119445014524751,0.5474483198356161,0.6426728220405322,0.5225082475090357,0.535860117091834,0.6956596190094628,0.5143989442389137,0.6240456000371117,0.6311629369115607,0.7782112612038348,1.0285465774867344,0.7709393223557386,0.8228795872098686,0.565271414707138,0.9204088397665833,0.5032244700181848,0.4688707467421841,0.45087385729369267,0.4764231954649048,0.5137187289084235,0.614935526983244,0.7167012081532544,0.4758396395428301,0.711669391320996,0.4768734258264598,0.44132582822808936,0.5749886956685618,0.4219232869137231,0.5314776965800958,0.46739342215888263,0.6694136727189406,0.494811712656795,0.4010750702926497,0.3954507586996997,0.4774978074695028,0.47395391807479964,0.4904724556845692,0.48181309297166297,0.7500020186404188,0.48648539161263016,0.6428341566978528,0.46973252550553796,0.5410690835615511,0.5840796370393879,0.5753328703249074,0.8221428827258931,0.5334802144010888,0.54318605577079,0.7174850857401669,0.5084469318983156,0.4601843107617639,0.3932889578043777,0.4056065068395379,0.41127903893726575,0.4534234088083566,0.46588533949916167,0.5041352999734885,0.574539359147521,0.4921974166217386,0.5020583184852074,0.4403457641358974,0.49306404142435184,0.4354934348198846,0.3931363234482473,0.455105947513308,0.548245461626914,0.5124994695661761,0.5338142172325893,0.5216755960122527,0.5880796734890446,0.6362759223020189,0.5864567341345646,0.5578451273468648,0.5769059093145918,0.5890678960990134,0.6956105739610312,0.5761805521213119,0.5361506785379629,0.5050843756922979,0.6431145435074088,0.7115132664173988,0.5444163126771377,0.4615508493875612,0.45562698566534005,0.42278847034488093,0.41529829743498814,0.42149095024728617,0.3947547580499362,0.4293402027556076,0.4889388673681193,0.5047593656039817,0.9339974703653415,1.5642915232127117,1.2126509876732225,0.5394065081988297,0.4536558929003589,0.45768146035722346,0.42585343995308833,0.43753122813712914,0.457656717431477,0.41240126951060535,0.46081806519020135,0.47228007279096,0.5631293472382218,0.6756427563581017,0.6165293009180717,0.7990579105477271,0.8252669806646823,0.7985285103168381,0.6094645297840757,0.5443279423619802,0.5670294495195249,0.5155045175693701,0.4327728731094436,0.4514699163369475,0.4421117270925272,0.6105779439366844,0.42719505430885274,0.5000403708818003,0.6370189557288236,0.4982404320416838,0.5358659823402276,0.6160984436782448,0.5986861831555309,0.5938099571422334,0.49275506463487107,0.6658379474922205,1.1715889763665732,0.8776189848642671,1.081246343528308,0.8865570780176358,0.744047178366096,0.7019003210050292,0.5960096441202951,0.7384285397093346,0.7122782733927854,0.6400227014612782,0.635878918969836,0.6484421974202927,0.5830888585381714,0.5484267390832259,0.5423095781393101,0.6019676805656355,0.6106413728753023,0.5887016442008511,0.6618278704572085,0.6659635610048624,0.682473714041021,0.6398003967886935,0.7031916883977797,0.7381548070082036,0.7295458133650368,0.7187389812978373,0.8251005106413576,0.8393796380876762,1.0482733383205716,0.8688104461518584,0.7649888773125949,0.8081255896490119,0.9285536459744207,1.6357160362792476,1.2129321405627889,1.4882127662112272,0.7795713730413645,0.6993683016102878,0.7418293091824811,0.7668795516684495,0.8042671254051054,0.6960496423254238,0.7812005856294607,0.8365605947404231,1.0319360195207494,0.7880245834530955,0.8492012969769226,1.0583814508208644,0.8812488881925697,1.182921947726389,0.7261412977702543,0.6614121340038321,0.6535518501655727,0.6906223434015673,0.7482814499260143,0.8411643822405397,0.7661679850266722,0.7221642654790391,0.6938296612765175,0.8524449689326353,0.7408138205775671,0.6787581552107878,0.8444683360520865,0.9493244971717921,0.7839651631151959,0.8266854792847222,0.9797885025968163,1.0071393982045516,0.8322767091111529,0.8886784464087013,0.8042494426106985,0.7765385692897453,0.6933827763983391,0.684355965417598,0.7755109068063786,0.6901429867152183,0.7008189701309504,0.7300811754566877,0.7641764321600663,0.701037635590775,0.8145973558058905,0.9155374293913494,0.8405944079633717,0.8538976893511875,0.8766097932387037,1.1109274356477548,0.9469017583110344,0.9165866702371485,0.9945976116188543,1.1899450360734214,1.163739495396175,0.9442756855376851,0.7914799853509096,0.7549029785427035,0.9791464424131661,0.973848678022733,1.0525555392509296,0.9071626076996746,0.8371912596421385,0.6530236606327595,0.5817070843845968,0.6408937636995864,0.5565856027216795,0.5272566659385463,0.6218102801626184,1.1756218380947492,0.5718328421606559,0.537156825485432,0.5782655838063518,0.7842955640528024,0.4282832348406456,0.6443482353379512,0.8805121793744112,1.177614193098813,1.6337952829473088,2.1023916182297064],[0.3047676276074159,0.34408525221876773,0.38733401814899593,0.3721299890116899,0.43256622848864607,0.36787815431964704,0.29894140601389374,0.34045056062674217,0.333667165656726,0.2931436348737132,0.30978296459575927,0.41638847146616714,0.28517510078207847,0.29886137881052127,0.37199697690882516,0.3106800390361287,0.35994127447913477,0.33407174997027683,0.46690508981166223,0.40049772237730313,0.459063264857616,0.4503504858719999,0.6625804663745744,0.7403677822912257,0.9303868964726268,0.6712906649077106,0.43811177694699516,0.375444673136,0.3372201653566496,0.34187962248320075,0.3891040226321803,0.3791376669905778,0.4544592326940135,0.42738562348539144,0.36268221287601204,0.34331951861971605,0.36316653257617415,0.38759473474223216,0.35863882810871467,0.39933400804837976,0.5753116991691252,0.529667876351261,0.4896942496132988,0.7360380445751272,0.8791641186487313,1.604678164217089,1.7398849539762784,0.9861017518995527,1.2013124639661108,1.7270066534236008,1.2284702348630392,1.1366163203985187,0.9076406775475682,0.7458995662499303,1.1972783575525792,0.5536934075649036,0.6488552174905973,0.6453408923617003,0.7216947028529098,0.8887896074265523,0.6345964466224229,0.6526392783684325,0.5071690129898985,0.628847314483113,0.5031415862040254,0.5123369773291111,0.6934741400921413,0.4534087939456806,0.5929832448084194,0.6010855700154789,0.7540146201709961,1.0072071496811597,0.7629789481087889,0.8192670330248604,0.5524787978050224,0.9636043947865675,0.4551787022988914,0.40926591269806095,0.3920824084037672,0.44295757498847294,0.45373068323403287,0.5885446995023647,0.7509054862185894,0.416207808230584,0.6613609934923058,0.40741155833108067,0.4008751069880548,0.4996593090188287,0.3652079790667339,0.4915517422518408,0.4264962138539332,0.7351889407922282,0.5271464497161134,0.40920043336280953,0.38549098111417646,0.500548502413655,0.4783781888400462,0.471862409810578,0.4476628694956302,0.7279551052461418,0.4493086578380627,0.6184539539138235,0.3993482885040673,0.47409698437955017,0.5254731865259802,0.530493362471784,0.7532306737095503,0.4906494290139193,0.5059648133999843,0.724636137697225,0.46609196177945383,0.3915281953640036,0.32035468375234805,0.33448086174367236,0.3328019907473348,0.38172015802982084,0.40423570589769736,0.4433217861929912,0.5416720379119869,0.4436633796216429,0.4655906080544577,0.39389116363630977,0.4643722677441929,0.3696890717451918,0.3162126989233021,0.382739074630139,0.48825175278483124,0.44940287140482765,0.463379008039079,0.4603041462656789,0.5201475566013598,0.5585529954319206,0.510995351805772,0.4987128128478647,0.5104860463512031,0.5407206400268523,0.6575810930481627,0.5147389244552697,0.4644420840345647,0.4345951442759409,0.600148806117722,0.7040526855131408,0.49771539674914916,0.3937530512007001,0.38775849714972604,0.36299670502269227,0.34227086591332895,0.3794181524768922,0.3179350540389715,0.3724283056932007,0.4407713558810774,0.48995954089869165,0.9618612427713717,1.604628752359696,1.2509144410972513,0.5186501501524674,0.40055558568404037,0.40631008760688864,0.3659567679760259,0.37793954961456055,0.39486393703948913,0.34322019706925894,0.3948322523568231,0.4009164129239295,0.48630669286666384,0.6397120580165443,0.5530837307013426,0.761453332297741,0.7856256638399445,0.737294746319168,0.5516831565718076,0.4862536770370195,0.48580521099520596,0.43084273040307497,0.35611744264845135,0.3920531977262893,0.3841927205105342,0.5941426023833131,0.36898326992322705,0.4406160876570514,0.6245065196610102,0.4188163736013289,0.4508138462892288,0.5289604904016132,0.5210637028136709,0.5057916720992381,0.4636316965607257,0.6208491739984342,1.1986359134764073,0.8519491778002537,1.0646516401417176,0.8938550916176121,0.7404636824248502,0.7080096290727126,0.5570303160195228,0.6969963064434325,0.676295905508514,0.5907363033619154,0.5793031858815514,0.5963718483061383,0.52916186844735,0.505350210357574,0.4892359634164378,0.5534618800630859,0.57200870445643,0.5565274694905997,0.6202415208890565,0.635504141227389,0.6629546221700819,0.6185915320437453,0.6846652488834156,0.7243357245023565,0.7137788683380089,0.7086893083042957,0.8185698380200537,0.8349149771947307,1.0420072608852826,0.8677965636375489,0.7502856215934112,0.7997749149426636,0.9191333981306765,1.6374600761135643,1.203485485151298,1.4845956973299836,0.7573769754843771,0.6703165764712484,0.7119394135596547,0.7316446755016007,0.7649893685294681,0.6475134482182876,0.7325428848475735,0.7911152868171346,0.9814743530089295,0.7281941110680412,0.8145619786924844,1.0244273226286627,0.849122729140624,1.1662377721450516,0.6702715424107886,0.6042442481067415,0.6104495345848896,0.6628978831109571,0.737275490451827,0.8226290495824502,0.7670636512221978,0.7003810927216427,0.6780409627555888,0.8484389736366688,0.7375270989814344,0.6638919139934564,0.8397116846147373,0.9487665197238264,0.7687009879545871,0.813977632108102,0.9737959508932389,0.9874312761417873,0.818152515890456,0.877347430629787,0.7895561113106059,0.7565109502478101,0.6728935993782642,0.6619077895365785,0.7556044634111202,0.6644960381425639,0.6746886674412621,0.703994597513828,0.742980827190009,0.6667163939253334,0.7835463638949502,0.8974345674118233,0.8237440382068127,0.8244965890778575,0.8588267034616534,1.109023763143178,0.9492091972589354,0.9043072569805014,1.0120684049963296,1.1984883203043644,1.1626954292983678,0.9291823559965638,0.7723446158769692,0.7229805167399634,0.9174665212136187,0.9165950217125246,1.006227757785116,0.8555796107625734,0.7832867790127069,0.6003946445699312,0.5152817300886823,0.5825024411063646,0.5146083493747722,0.4897071993053889,0.6153360345688559,1.2726131413158022,0.5439086996648752,0.5301804047631634,0.6070564808397166,0.8115910994419241,0.42926547336528353,0.651783448403094,0.7824480077045609,1.4782573529117313,1.8249783372235537,1.9624242312852487],[0.3110915719634332,0.3524011969108465,0.3754930015404282,0.39290416268931644,0.3894215437699573,0.338850647995826,0.26242078789513706,0.3252545613878078,0.3115096690620952,0.25723391528209744,0.29477098179397543,0.3956513307231594,0.2713072698059973,0.2938182824612887,0.3886814192085361,0.32465522659146623,0.3646675236315238,0.35729800643882265,0.4979771556615197,0.41877002450909556,0.4945021721777659,0.48315196711108643,0.642782230851247,0.766602419584311,0.893579557043021,0.6707022706362745,0.4318516015351918,0.3586751834686528,0.3343302233080033,0.3298432357412975,0.4155399046598141,0.37386080953403333,0.48136855981792054,0.45315467385613406,0.3650965167889081,0.34433424213292824,0.34263629153017633,0.3867764393082928,0.34506271808942035,0.3741214716512729,0.5520800656590177,0.5166749106088109,0.4875558910120992,0.7448320996841372,0.8818900058883493,1.5866320886483591,1.7237606389605327,0.9914935181600194,1.2065287678674739,1.7203146868360286,1.2500207351230952,1.1231469648987829,0.8852179967469068,0.7284033089494232,1.2206777230627648,0.5373514522463928,0.6256934649848639,0.6579346637710984,0.7223423119183607,0.886919815734591,0.6602333431388624,0.65530873448901,0.5295475207963372,0.6941179250991816,0.5457508371998648,0.5399092117006878,0.7260823267460342,0.48913458923314823,0.6247969826268832,0.6261392749305641,0.776863871795013,1.0254317389674021,0.7901009274721804,0.8655622947031842,0.5816628446806675,1.0198140760341894,0.4756707683588396,0.4467860859496058,0.3948562076605971,0.44583075635726777,0.4432092756188512,0.5585212471008418,0.7932390956306772,0.3841944252463704,0.6438029805756045,0.3658813827532442,0.3935751754041893,0.474842413326142,0.36086329064468947,0.4990854915402428,0.45212797848719666,0.7856637980325544,0.5762829051283304,0.45333149785312415,0.41553047171100155,0.5406474074931881,0.5071468038622119,0.4834174070425007,0.4524756713909274,0.7445420808212624,0.4473734570307122,0.6133827527229642,0.3801474848357968,0.45524551087888737,0.49460373776102673,0.505272243192391,0.7196016272112878,0.43062479938941406,0.4438942677678495,0.7129421071167871,0.4108745322952714,0.32569389901719836,0.27391214689090587,0.3069604633184254,0.3060926414487615,0.3613154937769326,0.36872431661485355,0.43768037643482427,0.5371549383706535,0.44777455971934943,0.4660721695722872,0.37443046825209114,0.4674246917154398,0.3500350037434202,0.3004935545945433,0.3518476650080554,0.4521450209756505,0.41448417096606754,0.4191401620500568,0.4336319292587502,0.46659011782003085,0.5036694676440141,0.4613108047195201,0.47089149321605295,0.478196677080996,0.5125469615005487,0.6052130688566233,0.47414148909710474,0.4258413742670529,0.410144177101164,0.5932682933514334,0.6909665186705988,0.47973105049899983,0.3747573536125142,0.34778624245037865,0.33060735838956595,0.297092912204933,0.341972639497834,0.2918870324711737,0.36869317803917917,0.42242171207725904,0.505948585945585,1.0012176172634684,1.6761932916499518,1.3184023173074109,0.5425002099379839,0.39633505214816417,0.4008383614453968,0.3453709619687215,0.36045388064990413,0.3695771066372534,0.3069178213590526,0.3582514212153349,0.3584192764546171,0.46028135565493594,0.5843129704636411,0.5206338800354048,0.729726729888716,0.7408072144566151,0.6957452514501355,0.504790602402364,0.45061913182822655,0.4365793841697143,0.3774080653113976,0.30615364983662635,0.36314517240897976,0.36428046881449766,0.6003714099145397,0.34780076574002744,0.3952851881372282,0.5917346454335449,0.3816405655845246,0.4147921607925623,0.47733225064807516,0.48307010627144176,0.469890665841601,0.4385758030828838,0.6202884051037695,1.1905085914237243,0.8286287158731799,1.057359365539913,0.9045880132504035,0.7338461509128779,0.6940896029818628,0.5216673794065585,0.6305159897134186,0.6178063630292006,0.523524935158831,0.5188465673501464,0.5635317261799339,0.4663268099600515,0.45449558343751517,0.4386891455539025,0.49552985781631415,0.5236289067908755,0.5159503423758707,0.5833824121377589,0.5954430812803041,0.6351449976416395,0.5915948852078102,0.6616462038852549,0.7013262301594284,0.6925405209385946,0.6997105800719603,0.8003934845785132,0.8097555437163826,1.0203071274154,0.8368551168533163,0.7127796803413795,0.7657236805479894,0.8748210528048191,1.6586823721866875,1.1713099669093898,1.4925314586305876,0.7192685674950693,0.632664666565291,0.6819709609652875,0.7066473797345193,0.7149289941911329,0.5848631702194148,0.6666053965262219,0.7259399619803206,0.910158548640231,0.6501508122491384,0.7977652725827842,0.9626099175402032,0.8095900150728212,1.1744560674260813,0.615292413327958,0.5552158149136535,0.5554507299430175,0.6156676336253453,0.7149561008678674,0.8016279466495168,0.7625557807259866,0.6646883035695211,0.6562635662920892,0.8452883268564519,0.7204000571405599,0.6402916741081311,0.834650051851063,0.9436075531675006,0.7444579082988392,0.7954812525096006,0.9625086428153233,0.9579413116919698,0.8016342301779289,0.8603476270813556,0.7710082686549139,0.7279753030928251,0.6393772541141806,0.6248170674179431,0.7180255291574665,0.6222557800082374,0.6295073990890308,0.6530574633223317,0.6974892709318751,0.6126551774248691,0.7201348655467176,0.8555246913815339,0.7785936514776053,0.7728225784122277,0.8076897080634518,1.0659241316375256,0.9150311803868125,0.8624499767495477,0.9901342821802581,1.192719900387839,1.1331666014679067,0.8967765524620128,0.7400229252234866,0.6837121484049417,0.8891285539391978,0.8803294823066212,0.9706501459536834,0.8115552745412696,0.741689250406378,0.5551678623264135,0.46431856362080653,0.5410972727504652,0.47458275274851314,0.44062372623259743,0.6040283727987371,1.357798631275211,0.5047759556725433,0.5172746028754799,0.6486913264406213,0.8254484267635609,0.4286885813011844,0.6747943226652641,0.7148245950654983,1.8848208350411166,2.2523956031352097,2.138537083733211],[0.33070957051052713,0.38981171240508145,0.4205695700974704,0.4851848620080005,0.4244660222917541,0.3932612060425721,0.3254291399224805,0.35404608460642145,0.3752349237899586,0.3659938120585106,0.3892418433170732,0.4623281713569755,0.38799348925477545,0.41600964160030807,0.49343776933530337,0.4313323239911087,0.4958832605640369,0.4970712424948807,0.6449660160076975,0.5633792795016789,0.6240514833873194,0.6083802727536692,0.7604317852953049,0.8855019053778315,0.9621502621452156,0.7750407934241967,0.5584443393014639,0.4814109588553783,0.46518408297019587,0.44825612291713,0.4937601735488247,0.45782103261355467,0.5429064845811241,0.5274204151420737,0.4604223601315491,0.46474287470789033,0.4444152506916362,0.49782242306300606,0.4617381362368679,0.45704606458518726,0.5876395781374438,0.6417329675268963,0.629921627354113,0.8795840489022353,0.9643538435919436,1.64607929090009,1.8321924889281218,1.0082198497590924,1.324747232708398,1.8736983963579394,1.3977862882649998,1.2814307270264442,1.0127794423244079,0.8627232918929191,1.2852354996453526,0.6511593308535978,0.7500301768252912,0.7519197046923578,0.7955630692938508,1.0315630657132573,0.8309084583268335,0.7887887509642392,0.6617763232208942,0.8241634795045798,0.6964745083539924,0.67362733071855,0.8326904031742544,0.6163678246997762,0.7450331397385421,0.729569438769585,0.822945890192259,1.039990878129688,0.8591498055745475,0.9736719110650947,0.692820690715617,1.1591650831065736,0.5988841215969095,0.5482533573527587,0.5002511579546643,0.5777228364425588,0.5252902932178526,0.655443899757229,0.7669942664041056,0.4731507438134646,0.7735350587003518,0.4720588257592055,0.5060644998836695,0.5785620211681435,0.48420371918377375,0.5927239345011289,0.5432441213765673,0.8160652524010907,0.6450838693772435,0.5241729960782838,0.48125822525280976,0.6073620651535663,0.5566305422109185,0.5312055196916494,0.514071484377443,0.8257619043069152,0.5010822008870378,0.6236539413093288,0.4401034689461163,0.48246785424126354,0.5175911554975976,0.513691685679049,0.6536583934745057,0.45329967268182264,0.453372697305738,0.7202965545111645,0.4283422107174822,0.36513159469753037,0.3447987934672551,0.35509503839658196,0.4103378439576827,0.47374746688894276,0.47192306053715166,0.5688789663513677,0.6888652176018706,0.5854653464094894,0.6089458268409347,0.49029259558466237,0.5714913132137228,0.44059871568604364,0.3608391194157639,0.39962096605419317,0.48493708856439166,0.4331036255626034,0.426059362460216,0.4571086213072101,0.47133461730561854,0.4890616667907925,0.5024959674342578,0.49883223557310974,0.5243666809914439,0.5792311945438211,0.6256681549016082,0.5101197194392074,0.46853736443458355,0.49975923868634076,0.6953481788843707,0.8502344973244118,0.6050367171511408,0.4970573024688208,0.4724245190612636,0.4594202233880794,0.4084765625144895,0.4444256059518947,0.36760452520068126,0.427127639363684,0.4618217138244763,0.5278416807271266,0.960890051934425,1.731350634652734,1.444110501731372,0.5890647185504427,0.4630532995669576,0.4477031902050057,0.4209563891625805,0.3962511747141952,0.4497930634692684,0.42443271710175084,0.4586004141887476,0.4797113204575625,0.5565949374386984,0.6254082486972719,0.5930732397085732,0.7912006722764741,0.7861861980464623,0.7404133916683859,0.5663084609156168,0.517376293964401,0.5110027464115252,0.4583489797944921,0.4085097749865734,0.4298423228951003,0.4405285359610775,0.5806960708162269,0.44220152463905177,0.44226503775167164,0.5978810584480563,0.42942688076076996,0.4687517205583209,0.5419194129764849,0.5545112528953515,0.5643231140151509,0.5519801335965948,0.7426478128064596,1.289921535712817,0.9548762076224531,1.1400263254028777,1.061601760773591,0.8472571336471193,0.8014029035696476,0.6098969933840047,0.6544355636667247,0.6259564937141953,0.5394029432430277,0.5106570380263327,0.5532666884670822,0.4514008405534661,0.45143447674992043,0.437663440521911,0.48134309589205443,0.5094727687493009,0.5192595772267442,0.5563866439158841,0.5685312944003441,0.6207265446813305,0.5836687529837955,0.6342642731141815,0.6777638991270373,0.6863133812226546,0.6788647743018545,0.767711982650392,0.7850100941594034,1.0017264004428386,0.7871834285154,0.665635812379586,0.7206430149413782,0.8402216851210994,1.6232720352568777,1.156190853303134,1.4742685886836049,0.6904582313764922,0.5877927815102841,0.6537404317401766,0.6721420470072923,0.6612331654684676,0.5526544386623091,0.6721567543702036,0.7317868736963589,0.8914384812646886,0.6393223041662759,0.813214446060237,0.9440404069014657,0.7825088697253738,1.154835502360455,0.5733314436077385,0.5517910084318266,0.5693284794977721,0.6348990714252387,0.7386554254699027,0.7834037545838636,0.7679549334422292,0.6667168208641893,0.6407416673221766,0.8201530613194682,0.7087005419770255,0.631732947472732,0.8165279087931531,0.9268718408672332,0.7371712097718129,0.7776350233568229,0.9437138611585145,0.9474935257998565,0.789444507677289,0.8384914610004648,0.7374103992575123,0.6969981651392299,0.6125637954469415,0.5937506113219341,0.6704344138993106,0.5842864276263605,0.599575296431757,0.6054520330632313,0.6511578970348868,0.5736358152310456,0.6740847653242137,0.8319875704889155,0.7443751098125553,0.7348031207039679,0.7776223740854055,1.0541086189203221,0.8900353468927571,0.8187169501692735,0.9804359396875912,1.1804030600852158,1.0686816112872013,0.8335050930987646,0.689542582739086,0.6373215076460398,0.804781107117077,0.8071273968679927,0.9057912075867841,0.76479703972347,0.6981488412788898,0.5401268827129778,0.45369949427788775,0.534378521180924,0.48010794960894576,0.4661192694731598,0.6240923620023422,1.363796194311298,0.5393139678894242,0.5541895737948069,0.7132595880457389,0.8610265813140211,0.48816863002696526,0.7042821596308646,0.7191493934666083,2.0938414250668766,2.379641918017209,2.2098546668452195],[0.3944715423278235,0.4068454013643282,0.43584346380613964,0.5131691458317076,0.4643181914615543,0.4031781230931192,0.34237002167190556,0.3753602544823206,0.3854820444148256,0.3353810196309449,0.3520484032006932,0.45592479904823163,0.3585004777826475,0.3677837681441666,0.45099814739475824,0.4036046682371293,0.43423332090839706,0.4474315798612524,0.5755467410499269,0.5074186569491181,0.616994962199253,0.6048533414055232,0.7231743279277973,0.8628695800032306,0.8311290317343271,0.6917589598257643,0.5134149576317156,0.4296773706483623,0.4239747059982449,0.41696975416248516,0.48875045198068007,0.4360451351614545,0.5548882349166882,0.5214095633587694,0.44134746889888854,0.4348541064362498,0.4173570985469903,0.47246893153071606,0.4391291843002796,0.4486847648623311,0.6220229732996133,0.5818315963121398,0.5753530420624476,0.7671053087731475,0.9294662972883218,1.6115367407133523,1.7230262448164477,1.0169818870323786,1.270436199394445,1.7230147124544326,1.266490874157756,1.1070091627140335,0.8714423853755747,0.7245398444688071,1.25686328786052,0.6062789799686884,0.6962431278696446,0.7370227927658702,0.7982390582226363,0.9538599666870089,0.7643461214993849,0.7301021466237928,0.6322829794529816,0.8084723935233181,0.6502288708167681,0.6414760520928255,0.8203008211080264,0.5743749750665981,0.7039268739790217,0.6907650796232067,0.8209188255518857,1.063630637345044,0.8477563158415093,0.9493567055706948,0.6724309954867854,1.1188571448681697,0.5652786511750527,0.5384536521413436,0.4882638643702252,0.5533492517289404,0.5262168172652346,0.6477793484211191,0.8873861083551565,0.4225876518588352,0.6856284513721211,0.44502039892757284,0.49973175021521005,0.5386285028689687,0.45084510970591346,0.5820017709282055,0.5358491493568138,0.8622584472087119,0.6574500468234178,0.5268222963750752,0.47923416898521315,0.606777412439885,0.5509891508337186,0.5375112469626815,0.5098292674416588,0.841529243813149,0.49444427925864587,0.6258635630104772,0.4267691695677485,0.491129394322954,0.5222699125364842,0.5372201599781936,0.6709262787286795,0.4261386013464595,0.4462915993942099,0.7302283856063493,0.4194362601479437,0.3634173218538908,0.3470652618793887,0.3591592283790704,0.3770391411273513,0.41039726268970933,0.41904142595777283,0.4814897006167818,0.593498385131619,0.5201238276768897,0.5211337177413468,0.43783390564443087,0.5058072735519498,0.40442298326670056,0.36396392364615837,0.37188972688451843,0.49425095770608135,0.41901934799839835,0.41241299813821775,0.45210751666023496,0.45398144718770855,0.476154770628873,0.4629215581101105,0.49182362312236605,0.478316430190739,0.5208516142156605,0.5746003875986967,0.44046032246107064,0.42219185787408253,0.45273251119294466,0.6364607389215297,0.7415822004084084,0.5422507738966904,0.44020094373439694,0.4050561242037733,0.43047937274333764,0.3632812753525984,0.40766711249768156,0.3693660689921089,0.4331244030441975,0.4575936987138752,0.5580363941757444,1.0344675779884767,1.7848295706510895,1.4802202021663629,0.6223564896984718,0.452428622324599,0.4499098589689558,0.4068383030863389,0.4181710143266182,0.41663420398318946,0.3874271153592151,0.40161763809703427,0.4062773494947909,0.49317902475127756,0.6009925748129534,0.5279710311438095,0.704300281633271,0.7101302975808402,0.6672827215524267,0.4982272516149016,0.46157570885763277,0.4473705720048717,0.41515962357256303,0.3719991159422614,0.4280220973449898,0.43386840634330776,0.6408432599312051,0.4325086473988592,0.4682298029399087,0.606194297931667,0.41201877326094777,0.4426333903152471,0.4877178188867944,0.500260615604031,0.5003385123305086,0.5271161074789865,0.6787436933270333,1.2489822175848335,0.859359632126849,1.0455975244333544,1.0251570225567874,0.7840955988186898,0.7764188329112903,0.5580098879753627,0.5615054455455086,0.5696658480997215,0.5023896737256589,0.48824922717890923,0.5733378129952424,0.4770760873032081,0.4924198934533114,0.46870084062275114,0.5069235788430818,0.5284322943437799,0.5412020911530168,0.5978832730711894,0.5932387270436297,0.6352009040167023,0.609937413387294,0.6701424107995128,0.6923461397182538,0.6905437221329591,0.7229908064664757,0.7809691451380218,0.7969229024976406,0.9952062281658929,0.7853703037046396,0.6816153703402889,0.7313213047423687,0.8172554429946625,1.7435057414223474,1.1061882160975598,1.4888366067698675,0.6786032589395158,0.6041527503292075,0.6715903160064675,0.7294887179610166,0.6514832800901498,0.5601866690308093,0.6590754857348513,0.715959043484959,0.870927134245814,0.6160405495284735,0.824110445346038,0.8791309037199033,0.7867711433955135,1.1537624343786217,0.5790142764929314,0.5484442124336357,0.5899588155138197,0.6537029407498499,0.7682333884190238,0.814533293562377,0.827373770350203,0.6980562182878851,0.6761617958719901,0.8655836795512766,0.7430826753876841,0.663996291891976,0.8399887901488189,0.9377764197146001,0.7381402496156366,0.7742925622088835,0.9344849968361187,0.9101432087449436,0.7806754815257326,0.818069805302544,0.7352654908149142,0.6976377636344876,0.6334567299843559,0.6148894960864547,0.6778910593998987,0.6049883584274469,0.6339836818702888,0.6114229349997483,0.6624784266652055,0.5959670816605979,0.6670878927502397,0.8102714428959231,0.7610394601486559,0.7354631315365202,0.7778548062263125,1.0403530521048836,0.8882219690801957,0.823836368967585,0.9673641948656779,1.1930515954460006,1.0601194291339258,0.8612897593393055,0.718806733695717,0.6644374935773831,0.880248008395515,0.829174089543578,0.9041824011213418,0.7756813510268312,0.7184921880287325,0.5681929343590034,0.47043964185994475,0.5402004889299793,0.5286943629502123,0.4869965310583141,0.6602363596210606,1.4324319599231066,0.532248948737892,0.5771638450852113,0.7640096015776775,0.8786594296183564,0.523274871587625,0.7388802454133058,0.8233530667585571,2.560562620764255,3.085081349288979,2.967371728778204],[0.36658636237889153,0.4084748506483554,0.45875607183661377,0.546997063626061,0.527296231728785,0.43129206865810127,0.41453598328721714,0.4311510859891573,0.46391488399370573,0.47823443586348496,0.5157877274496322,0.5883433471483631,0.513542289065171,0.548085567873843,0.623244248707242,0.5878934503695945,0.6320837818430847,0.6560057540610649,0.8093844941010631,0.7272256987808006,0.8253207646214639,0.8157200143354743,0.9080209714662786,1.0230864191294418,1.0042970019689115,0.8768305623737888,0.7156394232663152,0.6310081504985136,0.6106590107293377,0.5804102398405655,0.6628968634860612,0.5866408691843021,0.7294403399565981,0.6921742053974624,0.6125736582091829,0.6166732051237781,0.5742202656836255,0.6469976123348755,0.6412335206505557,0.6327620112263691,0.7347081153729598,0.8077135640625113,0.8085833037755077,1.0329929290925488,1.074612175438347,1.713718673412637,1.886898096758288,1.1299707395670813,1.465531545403848,1.9570919675449756,1.5356924582810583,1.3219332092312337,1.0924993732648898,0.9468981055268271,1.3913486910950594,0.8205424659040392,0.91146295467127,0.9391430433153704,0.9625093315465871,1.1611124543479197,0.9684915818491036,0.9038221522658607,0.8184567718413999,1.0127325751352614,0.8896198611359288,0.8523107945237252,1.0066458433408947,0.7930657504381784,0.8807455986339021,0.8818617170587105,0.9408506248102336,1.1355468020445534,1.0116786662304784,1.138519728712541,0.835480353165903,1.2670067866309722,0.7549740409102706,0.7069889272674514,0.6502378618128166,0.7232206356978935,0.6737648314450209,0.7584466974861854,0.8633410484141312,0.6043314619437602,0.8792281518825686,0.6129482661417245,0.6605526356464769,0.6991404586340886,0.6275805707211823,0.7208908989326618,0.7155783593348439,1.0075712132092143,0.8175890994928154,0.7014311562673817,0.6412309689512279,0.7669733841786834,0.6884218793323925,0.6834954241977411,0.6404461875023684,0.9146169706241938,0.6255410719567477,0.7068134328165725,0.5500526836793168,0.588706931845022,0.5752643397326509,0.56362096832466,0.6688990957415454,0.5170245684083541,0.5180878820352899,0.7712599697507654,0.4808086361594008,0.4552294572848818,0.4505577778761606,0.48932580947680154,0.5213923025064716,0.5976420162747123,0.6069756865017304,0.706551574422598,0.8278432012150947,0.6994232001368637,0.7032871613087345,0.5882537561698913,0.7047023673710973,0.5636507837454978,0.4841955812676235,0.5062337016163824,0.5803808498943899,0.5233616395573272,0.5144120164801521,0.5472399216002035,0.5515527592808032,0.5784724751192708,0.5980596950711449,0.6112683471214934,0.6224088271906417,0.6662485078751481,0.6779413556550266,0.6260192259436355,0.6114883130226617,0.6351901359071377,0.8380743245294136,0.9901945048232406,0.7842365695632112,0.6668536894511026,0.6358563031983288,0.6243911104738157,0.5627104765106928,0.5612838645550601,0.4855799840227997,0.5271870615792257,0.5337705016804999,0.6139436797504474,1.052112659610333,1.8292967133407398,1.5353353969771046,0.6989822614260289,0.5517075392715631,0.5451006375350891,0.5274013092858929,0.4975862729542578,0.5692255269508697,0.5597424161062798,0.5920197720429674,0.6183536742151379,0.6943264205510686,0.7076364988443048,0.6813925023609708,0.8546121958302618,0.8247376310861162,0.7909020402534583,0.6469768861608441,0.6408542591218627,0.6323485089667525,0.5962474009600723,0.5449615324208221,0.558511971494356,0.5810780453212951,0.6877590128018807,0.5895624102468612,0.5925679833754525,0.6716027217408457,0.5309789128671386,0.5769367394298677,0.6422818896719803,0.663836350771662,0.7082371902462253,0.7089662656909549,0.8890695952813934,1.3987308431615197,1.0450444282115776,1.209715366860286,1.1313404417898274,0.9151978246413074,0.861183290342265,0.6678127042563092,0.6892374068176093,0.6670777451320026,0.5975459923834445,0.5809025256872177,0.6068837192111288,0.5077629259910501,0.49875385822589413,0.479002138937519,0.5391131011314304,0.544200220678754,0.5496005299632766,0.6112997546824044,0.6175991242200078,0.6457419975307889,0.6186164417480856,0.6788247048556029,0.7200532392480417,0.719187604115124,0.7237349914582114,0.8150590165210408,0.8164256575809705,1.0272766686207242,0.8322406319956761,0.7135302522026639,0.7539901473640251,0.868600528085082,1.672020058980774,1.1510217180147975,1.4630070399098862,0.7022272776862171,0.6272407987035886,0.6923506317922294,0.7099412296188686,0.6881359328171657,0.580254321376126,0.6687946423888944,0.7486140605039083,0.9156724933482866,0.666458496743752,0.8897105697998542,0.9745757593314807,0.8418688085447698,1.2117425756668274,0.6438095400994281,0.6184652993690269,0.6166488827450199,0.644185742760035,0.7489387707190842,0.8142381367500486,0.842733246660424,0.7036185834740235,0.6734595272101483,0.8890969301407139,0.7605709869777242,0.6659007953444551,0.851605819135449,0.9544813947500905,0.7567880875051418,0.8018198966687834,0.9757122375675822,0.9635884558569103,0.817199369229586,0.868422267563794,0.7772970502515072,0.7282503256327557,0.6369849828275235,0.624475597444055,0.7108467951509737,0.6282445642336894,0.6340778511104567,0.650402922662119,0.7028726829614503,0.6249013620524695,0.7177822502189358,0.8800098934611016,0.810300892159835,0.7950200266819774,0.847277233218595,1.1082188947524483,0.9563021782887242,0.8838839803076387,1.046618251987567,1.2352712270273996,1.117111019561372,0.8857635659161767,0.7455482291873086,0.6873874522798301,0.8624911136786686,0.8707141792380252,0.9603667761956,0.8261026677822726,0.7620014197552101,0.6147576420302893,0.5196936112297851,0.589910868240204,0.5207371516620289,0.4989501653183575,0.6690117068810055,1.4550868580965368,0.5549177133615655,0.5797753390319689,0.7569117604596123,0.8774405426523961,0.5204887043287184,0.732662192305813,0.7959562446596311,2.35515675750824,2.819962173895269,2.6344206974050643],[0.3990380296636488,0.4195027588538825,0.428719585391825,0.4414649215538697,0.415047558986495,0.39692531463989683,0.3070985740390815,0.3654596073498525,0.35714912330197546,0.30508158497027754,0.35017787867874184,0.45404147692049274,0.33017897663408846,0.3565331446683397,0.4586034563955621,0.4007642422317297,0.4268608681460968,0.4471770926871743,0.5775692922739474,0.49638734481694186,0.6177289145310025,0.6074681776621607,0.71853653849142,0.8772163557828939,0.8537159072915822,0.6937702787173907,0.4864192366846617,0.4137388176158388,0.4053639922010142,0.3843543526693442,0.5009966653722926,0.43569687752455627,0.576729452648172,0.5451947523596502,0.44717884710293576,0.4270963857213923,0.40368833831078915,0.4428341040866631,0.4043251190285369,0.4221528255618804,0.594524800733418,0.5663184667300367,0.5598900081946483,0.7974380468599872,0.9491684892045598,1.6395064948856297,1.7965623161609618,0.9989111781647085,1.287263203831582,1.8002088950752435,1.3111616415482,1.1729605532895588,0.8900573497999467,0.7444538447273419,1.2470921778861337,0.600161160056083,0.6871541714082313,0.724979821814549,0.7939612709078524,0.9686440676792027,0.7816289250555373,0.7445945015928643,0.631226734262953,0.8211067830810559,0.6648642598968195,0.6434351623656227,0.8255994573374891,0.587394110048861,0.718268386477509,0.7112104365863503,0.8397820054526491,1.075533568125191,0.8831384326123108,0.9795951769099661,0.6896796426445257,1.138415220699339,0.568883442438345,0.5447594267568524,0.4832538869748433,0.5460136600240495,0.5100228845663553,0.6111873165075505,0.8759253422557522,0.39493696993724253,0.6438597076083017,0.40670906475654006,0.4605768434054991,0.5388405082307598,0.4396964718437784,0.5955792501153785,0.5497723479056772,0.8860076297882581,0.6844986640679592,0.5761507873257554,0.5184722802717329,0.6508715223649933,0.5917287526487297,0.5604743695261236,0.5154167617851678,0.8263848098577053,0.5049996621732878,0.6262496679647143,0.42330231103353816,0.48363392283345913,0.5211848871881335,0.5259963950623885,0.7009365288810024,0.4274306202134114,0.4581201171431836,0.7300079596077327,0.4261819720265056,0.33551282821991346,0.3105188415820981,0.3182487589385197,0.349524228978537,0.4042185760990918,0.41080464404455114,0.5143384437998729,0.6289147975168282,0.523874645780431,0.5371544110054592,0.4325532027148361,0.5218999243460871,0.3802878745095597,0.32205336663627726,0.3551302442783834,0.44491165281664785,0.40093144550294546,0.4044079299262752,0.42086581727717726,0.4689000100714412,0.4909134115967513,0.4672710229005686,0.4543006373892935,0.4833080493376485,0.525000781180377,0.622158312795416,0.4865599194137956,0.44737737429665975,0.46152589872585525,0.6788777743604645,0.8106322801540699,0.5629391721656628,0.44434679932910054,0.39640651088741163,0.3896785971602798,0.3342859259198065,0.3803747744167781,0.32843958910845733,0.41527625783150235,0.44979022899486626,0.5592043521738191,1.0833827958894764,1.7652385368254695,1.390882937025066,0.6255521845860034,0.4530340208285564,0.4540418707763262,0.3854626203923961,0.39073052007776937,0.3812357615368187,0.35771931766262083,0.39127556836046745,0.3897152640842476,0.4895784341021383,0.6169113244248214,0.5584958277755991,0.772690138628877,0.7815354035751382,0.7340541269672156,0.5406827699492611,0.4739578432709509,0.43745639797634595,0.3802639729525333,0.31866567648553074,0.38219812453268076,0.38692972150689997,0.6391751804597532,0.37243571462142455,0.4339937028390289,0.6037142624085816,0.38896578522802755,0.4272860982615931,0.4771434774793572,0.4878043791123139,0.4917432497198333,0.5097778011282416,0.6720647687238314,1.2683058714249633,0.9024057693185425,1.1026454539173935,1.0023197618096833,0.8019958455874328,0.7587091083044736,0.5678074664045389,0.6440881729379658,0.6307488160250146,0.5363238609836587,0.5322647959499022,0.5813824845549874,0.5026176524917625,0.5063121625170057,0.47650854962327316,0.5321454177512833,0.5779395375501437,0.5702712974352636,0.6099054048632999,0.6283275224968993,0.6931121074211025,0.6406763990262555,0.7060542182798788,0.7675105728834233,0.7613102920822923,0.7528901828859869,0.8630760850022439,0.8442438742600112,1.0809100141710528,0.8794554781147151,0.7623742068740808,0.8134128855868651,0.9099907793015211,1.641582212898892,1.2047447396292508,1.5668645460628807,0.7657224448915899,0.6814645931124188,0.7110232251130627,0.7258991510017684,0.7306696603972755,0.6197951069351967,0.7044965652571189,0.7616210894973944,0.9484264507169565,0.6833327352997978,0.7980183068685955,0.9688434568476769,0.8080564416453164,1.1545810759967727,0.6210492234386437,0.5736689336029792,0.5911261196182739,0.6613497574897151,0.7635979206317415,0.850717297136328,0.8221691211879611,0.710551551191112,0.7087551285381049,0.9145431666788766,0.7733136253943018,0.7042808681826594,0.9016109507867143,1.0066076667815675,0.7942034702473988,0.8640622809702624,1.0421709938013206,1.0187709840226695,0.8724101622373299,0.9342976981642536,0.8467234502740156,0.7966816574072154,0.7067538738927309,0.6876055735916654,0.7766365705390692,0.6771402152321093,0.685611352926158,0.7023653933052666,0.743367675057468,0.6411147931396445,0.7480964748261895,0.8930377683648194,0.8066325014616327,0.7788017341109369,0.8268194697522142,1.0848709033160988,0.9323644261405161,0.8767888148324037,1.015789231227527,1.2013989769967837,1.1748949021953823,0.9154475920248963,0.7589664112798461,0.7091240434127515,0.8881733434832367,0.8859439052931648,0.9902545443718949,0.8171655956937873,0.7525645357448291,0.5686017255781316,0.47593377645867124,0.5581323256346312,0.5125988133752158,0.5086264950696768,0.6827905610502492,1.4278287464435477,0.5556860387789803,0.5929209193357465,0.7601702786974105,0.8881885254649903,0.5084036851231855,0.7422622323594805,0.7923530756861474,2.079764930351982,2.542981719871059,2.4288545355102036],[0.3523622072106162,0.3879306888498866,0.424005507373218,0.49973091520923857,0.49542310331304307,0.427791765241212,0.3802969815914758,0.3587423051006569,0.38090698289664343,0.4052627859916486,0.40765063794848894,0.4681017027719184,0.42337344944728095,0.467841333796008,0.5297303516612685,0.4698234799734339,0.5918005938940197,0.5948704650704374,0.7846841390084733,0.6885645436086054,0.7548006864635777,0.7363925437588585,0.8826995781208422,1.0211591270046418,1.1036686924600607,0.9220356144890438,0.7046658362124312,0.6227281776815524,0.5680257432118078,0.5117905703046172,0.5469953839808364,0.48065490406019656,0.5788477014987611,0.5770080862477102,0.5013384936614933,0.5258251724889696,0.4974520253606275,0.5873461623247735,0.5886273229882711,0.5757612190742747,0.685931391010052,0.775840633862153,0.7702398942924213,1.0192900083149574,1.0871007769781926,1.757952919367058,1.96734599639676,1.0806515697955001,1.468248941912269,2.0714235699546695,1.5779221536849364,1.4254658727308671,1.175624549064771,1.0195686289758803,1.3940871245368496,0.7916662187427673,0.8789371755835421,0.856876798636725,0.8850334102317361,1.1320879093821654,0.9358306932932755,0.8834688086621033,0.755411533436976,0.9344868708649674,0.8197651262055162,0.7739548851199919,0.9342761486876204,0.7163854539038594,0.8522508082710873,0.8067904836276598,0.9092550366132015,1.102584603450139,0.9341765332773336,1.0731123493649244,0.7657973386235265,1.202883322148163,0.6802650647416937,0.6034048516932785,0.5653598629342144,0.6438074848238634,0.5925041709847115,0.7217932319983219,0.779422968171908,0.592810765376695,0.8977404630432714,0.5758370602643401,0.5924523053561619,0.6323704706003405,0.5483510721141349,0.6392849881171381,0.596873517810978,0.8666692501731474,0.6915432020065647,0.5719528654070359,0.5200599194803355,0.641056082036515,0.5783293262646133,0.55326778469041,0.5131711880916909,0.81273133746438,0.5154048241930776,0.627738944087034,0.468271644918438,0.5034828151242291,0.5498995649220308,0.533285221031085,0.6800159858802065,0.5365520560308162,0.5255726237781225,0.7479122945877895,0.48334106874253163,0.43342136455571056,0.41967325307527403,0.47527842662213815,0.5137655224868589,0.6261847495343279,0.6153861796865068,0.7514216980168402,0.8450500245200234,0.7083735004738951,0.7381482048431373,0.603532365993507,0.7295073830894415,0.586526020622851,0.4728710527420682,0.5605245930534678,0.5822528471031252,0.5571136834341914,0.5371454646741537,0.5670124019386128,0.6163740420937834,0.6272858783047845,0.6652426087275234,0.6132397105125995,0.6915057629442491,0.7378765256133929,0.7635489094692215,0.708287306218256,0.6809864909481642,0.6850815872438255,0.9037476054364938,1.0649662828231987,0.798579707950165,0.6697092147967679,0.6428523668030329,0.5816289915734846,0.5422839248330124,0.5281161571675601,0.4379066168154725,0.44481655183764796,0.46966093977565204,0.5066043019772872,0.9696710934094923,1.7156310322201687,1.4030159269446483,0.5802577466256624,0.4642670579768899,0.440160895500544,0.4423009977772357,0.41712391498546464,0.5540994314767482,0.52674394179924,0.6135537066020189,0.6415219478843966,0.7272654735696675,0.7476635732772413,0.7580861894634012,0.9407639822286971,0.9323671344056412,0.8942197030345751,0.7383815901769974,0.7080470959706779,0.6832656527999743,0.6105085972670713,0.5275222400167073,0.49885831137935704,0.5042313793198039,0.5758497468634122,0.5393486342613031,0.5173421708136903,0.6245863440821569,0.5341593518308323,0.5946235155732101,0.7000480731438821,0.7048090405457295,0.7186505585498265,0.6548258581925706,0.8800323630773084,1.356640306641724,1.0916148087423827,1.2553208118136019,1.1941606821098716,0.9733228335057856,0.8697252666573596,0.7337906504406339,0.8271026592492824,0.7857951727969199,0.6699242712310405,0.6453693586437442,0.6223261237858645,0.5408796840073458,0.5036169635125,0.5005073535726021,0.5596025233499584,0.5593876286982411,0.5514681542147613,0.6370613905190337,0.6333164473951626,0.6530831829886337,0.611231439916192,0.6794860023663216,0.7292595931554172,0.724060641750836,0.7019685512271534,0.8257288268376592,0.8369741427837523,1.0558022415384867,0.8776717714576677,0.7545762659801756,0.8001342005386263,0.9234595256790277,1.5907599213947623,1.1933964308485523,1.4663680489446331,0.7430549552318891,0.6429706680421691,0.6879297635939042,0.7224371021940801,0.7579817765639776,0.6457786600935033,0.7363716438363433,0.8241223528166765,1.0095407776188945,0.7570513639082324,0.8679012533076543,1.0709753308883905,0.8742044803675227,1.2337297630363175,0.7063806681349882,0.642578389581796,0.6296326226944085,0.6584898920953706,0.730717362601559,0.8031857621541081,0.7618976337916565,0.6751914813772801,0.6702384919661366,0.8416599782162025,0.7315698502509804,0.6521871645575631,0.8531860610991319,0.9690571691641455,0.7695715930165256,0.8252579987494781,0.9999046589511158,0.9997570765945963,0.8379702708558059,0.9045580022597995,0.7994742335178374,0.7549095045967248,0.6558946070221598,0.649600234467704,0.7526766734627889,0.6496089085518493,0.662723120340488,0.6991184823863862,0.7380010947109628,0.6573633133678669,0.7874209546391787,0.9406250341260055,0.8330388316422501,0.8273683204064032,0.8771739697528546,1.1267314454050659,0.9748219252352417,0.9178482877749476,1.0907923557938586,1.2636976584676651,1.1908958757971913,0.9374337970260203,0.7706489788641191,0.7170185138201647,0.8943784165244332,0.9288037506791754,1.0568095114230758,0.8970183196054743,0.822248124752512,0.6426697834247538,0.5690852355407172,0.6477279023308502,0.5433936272230809,0.4820312200744316,0.6043786043458248,1.334618816166167,0.5336290336441217,0.5377722791592946,0.6560600260133763,0.8132176013244284,0.46158004540155384,0.6899840477647724,0.7577790913516338,1.8124682975851907,2.15199441557314,2.117464044594262],[0.759274626894459,0.872264071359991,0.902796005453489,0.9373157398920061,0.8655836238048366,0.7944456013793044,0.7443627845478435,0.7975462116077332,0.7560275909684636,0.6886423677875443,0.6792238056201895,0.7462442581787405,0.6773773171684441,0.6448791610085493,0.6879833946385631,0.6708891109541166,0.6704633978189709,0.6370320486596357,0.659413775383668,0.6629480299086499,0.7431759815338652,0.7486004114486227,0.7656548022505699,0.9068682406722389,0.9794522873527924,0.7781422146733559,0.656174579129262,0.6581810799848218,0.6682669153015042,0.6825302547447457,0.7018642691191429,0.706658211619867,0.7647048777580364,0.711977031141468,0.6833030893306687,0.6562922532904659,0.7116822484372617,0.6851546697562562,0.693819245898779,0.7761461840414884,0.8166784059515241,0.7055506468568197,0.7053139857527996,0.8850615178942715,0.9262939769571343,1.5571592499789968,1.7074175468748658,0.95620140533009,1.2316325447806624,1.7338002143202211,1.2421114222676608,1.2172016789169104,0.8669980813170656,0.7978880580507327,1.268585004432955,0.7405321546648175,0.7874913749775522,0.8992106686450605,0.9622768230875489,1.067118391931851,0.8693399012589206,0.8172987716238844,0.7545353695879093,0.8242750007538772,0.7274266961395954,0.7868459808999013,0.8766651128236097,0.6649179533821524,0.8057339822898357,0.7864322809670463,0.8994735248760043,1.0958548903448282,0.9130785760309592,0.9947447445584114,0.7900871829649282,1.218928000416021,0.6915871671535991,0.6831128500964393,0.6756905331800318,0.7383290174859533,0.7548417489703679,0.8463108380652784,1.0777199436327163,0.7383574951564642,0.7486549882885857,0.6896795613959968,0.7059334742861502,0.7782423516492255,0.6636803680170721,0.7552418875602085,0.6785497093458115,0.9951902080975009,0.8118116683633355,0.7161046279060256,0.7025976693728732,0.7642462522527813,0.7536852442258483,0.7727491975628211,0.7700206096019492,0.8761817531189146,0.7901298520902753,0.9373157324240924,0.7712895447685792,0.832534455606784,0.8910747805058274,0.9009569400267491,1.0094388951331887,0.8585652715286451,0.8721851164107155,1.0781553925991116,0.8761936323786041,0.8020573481573401,0.7352829990031926,0.7393689792599364,0.6857829087854634,0.6865702137854617,0.6885550382933073,0.6967694113005382,0.7643003736998247,0.6818205022364128,0.7029737128152929,0.658335737390587,0.7351677007077863,0.6675354579294412,0.7016065389899123,0.7313699137200238,0.8172432066792499,0.8090416221864111,0.819964480145432,0.841127200438619,0.8364526964704244,0.8404214609021211,0.8389165098732795,0.8553824794811631,0.848248368395051,0.8992246353517425,0.9410485969304256,0.796605842229986,0.7417044436435092,0.7464685612932492,0.8103310227630376,0.8974224390099443,0.7168074957219366,0.7020630973513192,0.6845459139705528,0.67588524544525,0.6698957239845573,0.7454622909712825,0.7364321170374375,0.7678158511214034,0.8139377934763805,0.8670549357413668,1.2524083860537676,1.7203897906558216,1.2485081443655992,0.8529951556215727,0.784936798530341,0.8301529678024212,0.7667697636367864,0.799487492566595,0.7634685405727896,0.7096726194982947,0.7422658399432112,0.7112486510876493,0.7934842608573152,0.9524993623238422,0.900178469635147,1.0772803405889062,1.0905852409204995,1.0440963039036038,0.889535358897579,0.8100593134808005,0.7707104356392263,0.7665264100538678,0.7284286895243733,0.7861972469407528,0.746158443517978,0.9784690484717606,0.7432708224616742,0.8340380042799559,1.0847193805978514,0.8243139913191095,0.8350880652150025,0.8175357597412858,0.8138109274254302,0.7904988550759061,0.8783157904535495,0.8947376175725947,1.5039412785378938,1.10833522871842,1.3286704355840457,1.1125209329588768,1.0604822984854463,1.073589723764245,0.9255925954013112,0.9716619109894775,0.939901235422742,0.9100689008132832,0.8876739863121471,0.887269404320375,0.9023330673473005,0.908976053861688,0.8843532078027355,0.9139057431238126,0.9556914995787592,0.9576515872517495,0.9323647071624312,0.9964761524771472,1.0595929926086516,1.0019927791018672,1.01913009883543,1.0809208953953375,1.098426624146025,1.048464276418578,1.129606547929761,1.1499138408112823,1.3314503386089873,1.1745399692908265,1.0556213638710314,1.1507260114307036,1.2838008292425491,1.7114923629606997,1.5967832138827507,1.8113553971572343,1.1610029772739627,1.0603843970358335,1.0775962459416737,1.0777995453818103,1.0857008539266422,1.0222321820406677,1.0973981839531268,1.1216983813969283,1.2364665589856476,1.0450394885379255,1.1156575829610687,1.2921926857775679,1.081504862398247,1.260536581797994,0.936748753681557,0.8991998686036636,0.9634581678138364,1.0523429011747054,1.1118832214822896,1.1951226619688091,1.121143308238927,1.0577635437726953,1.0565089374205172,1.1884644634353074,1.1138099021716852,1.0620004403676977,1.1976437934835873,1.2779102488774758,1.1512223201553207,1.2093543065114847,1.3265833409473673,1.3228525801141784,1.2089034057156163,1.2573725774769686,1.1630357950771477,1.1538528026575894,1.0777119660352108,1.0642978204619846,1.1273226824345643,1.0393727638137642,1.0684759389518868,1.0553216652988582,1.071620484013959,1.0245250018956022,1.128953699229822,1.1596265787912514,1.1497281856657573,1.1266283108617543,1.1474635562863762,1.3919135936997789,1.2293880480011194,1.1516168580026973,1.2684990662992637,1.3693148076683541,1.381215718905359,1.1597936388545802,1.071023937137119,1.0265705251479411,1.0752500974848926,1.073429366543432,1.149533566075149,1.0364469330615762,0.96389798615173,0.8749174974743436,0.830899448256635,0.8567003170358223,0.8680248105334427,0.9083322600759502,1.0378433481875002,1.621435215138545,0.9870195342445794,0.9611412242771852,1.025719055779133,1.1490671350807422,0.9131218923643681,1.033252684980592,1.0487490078624557,1.765053796675679,1.9717623202220258,2.3777520009095308],[0.38574738085431604,0.41523654748970557,0.46748972944011435,0.44856613141744045,0.4571331068165783,0.3987610644098929,0.31112835442105263,0.3276601968810622,0.3364133995167188,0.3037791656505208,0.31229239384653895,0.39570930000908544,0.3104582813462523,0.33197284432208607,0.4143794917307938,0.34842347637932575,0.4213871538748827,0.41131126086339675,0.5543789099709145,0.4886388631661407,0.553389896016787,0.5438589072467876,0.7344890960755737,0.8290464845985636,1.0066200536600238,0.75132524598305,0.5196907704985906,0.4420052036900948,0.4011320313776975,0.3720650057872403,0.421736469388965,0.3846301179580188,0.43788378522710997,0.439892336674445,0.3756377741248743,0.3903180179296457,0.3796391149791283,0.4576371064231603,0.41040930479939175,0.41619983290997065,0.582021753168709,0.5872104444446202,0.5823839798244272,0.8685226438556517,0.993994571694495,1.6809179506726144,1.8942772438365116,1.0843424909208177,1.3116140589735397,1.8867331943317593,1.3853291543738464,1.3283219388483674,1.059221803210161,0.86660430964674,1.226987187643667,0.6387631783573122,0.7261813534501289,0.7115551364475544,0.7571539118801422,0.9797952484307453,0.7536813451701753,0.7320259871601702,0.577796461420495,0.7207476336979005,0.6008909714689598,0.5835738622966284,0.7444028974197358,0.5288476406433087,0.6752225201107217,0.6616954701728819,0.7939388071137417,0.9926044000530299,0.7945838174137094,0.8833851704088361,0.6081188205557928,1.0093339412693525,0.5308209187112374,0.4722151057397658,0.44585921151564284,0.5022254111814816,0.46450879229531505,0.6190693573321648,0.6810791837331414,0.4851770850809,0.7505960773362848,0.4409892159707791,0.4417826865343123,0.5242017501899748,0.4215161015573313,0.5102710334413931,0.46944331541382417,0.7687756897745173,0.5604049389907472,0.4276592389893116,0.3976995451213657,0.5184054321783774,0.4945126712615371,0.454154168539048,0.42498400446061035,0.7239377162598147,0.4502372169436407,0.6055340330967771,0.39899134780430245,0.442726964080103,0.47768053892527795,0.49881524103290303,0.6861890827727293,0.48453809918357466,0.4789736993828709,0.6975858620651778,0.441146786050426,0.3801617293165206,0.33167082609825005,0.36139903838877974,0.36650740232719786,0.43791910975695686,0.4496245716849241,0.5051735643103341,0.6192791871684696,0.49142328400214585,0.522057211033434,0.43848264121467506,0.5036657649142728,0.3973559065893329,0.3422806729232279,0.41764007531537123,0.5080232717514828,0.44604290175984224,0.45947385215046177,0.460674774671781,0.5264101109166587,0.557765678329789,0.5414276524172602,0.4850728245926058,0.5362148868603795,0.580774119039317,0.654575854613916,0.5413183371061312,0.4788767276806206,0.46624173123385326,0.6366074277299939,0.7801108428418936,0.5483457738528246,0.4511898445339586,0.4463107129139669,0.4097985824585724,0.38056889454251847,0.39294507882482416,0.3270339501213983,0.3669184086214701,0.4398474106771519,0.47593361617612473,0.8760729539710053,1.6072093407873538,1.3174803445993812,0.4995506036804528,0.3999280346124761,0.39476416124908464,0.36153015740109584,0.36891187356793803,0.4254569546540798,0.36887851408992944,0.44077928699846475,0.45611598405329434,0.5341855725134043,0.6313940099901196,0.6087862098433681,0.8291263664148193,0.8206252008181998,0.770663940393246,0.5830171919720658,0.5192181392281304,0.5172226840615817,0.45804565530125285,0.3807855613993898,0.385320642650521,0.3947010301890458,0.5292197524279798,0.39604408957521153,0.40626412732943806,0.6053220894320892,0.419971731882081,0.4821844883955195,0.5670588892221803,0.5587836823573921,0.5718333767916155,0.5217266965669843,0.7074600930645963,1.2979625131273216,0.9679725162706165,1.1620505033891932,0.9960022110622301,0.8101125339921432,0.7634685755872657,0.621213854850839,0.7582093938692567,0.7045693138965914,0.6230079830751162,0.5927070055716139,0.625897288800616,0.5126425986653328,0.4718204091944865,0.4779948151990892,0.5199836067118094,0.5196939476523961,0.5200347234466837,0.5836071482002798,0.5949698235447988,0.6199128300512537,0.5921930955230497,0.6373394949523921,0.6936554578358339,0.7033649375603042,0.6804769671931209,0.8077339756997441,0.8134932111505391,1.0186671186571927,0.8409433237932195,0.7102012099045103,0.7627804395147113,0.8948248425353342,1.54960928011203,1.1672018491303862,1.4043436919659125,0.7217414287917048,0.623134739911312,0.6628482418089044,0.6771893652833574,0.7543895356013074,0.6085657462526564,0.6952306162557217,0.7822040812438477,0.9517616820860632,0.7141415223880637,0.855410973432843,1.0634707463776834,0.855567208293625,1.2237122218872787,0.6625093885740185,0.6278294099582356,0.5818096593778356,0.6021739919222483,0.6738460047520533,0.759671528659946,0.6968182886342418,0.6212847874264199,0.6109861925239823,0.7666275697067753,0.6766121345990348,0.6021658757163886,0.7843909326222349,0.903873150662689,0.7434448847174443,0.768368988169283,0.9245416171497141,0.9694382824821913,0.7891181568610317,0.8429231836298179,0.7441275897601305,0.7068920753884611,0.6053821192569457,0.6041942066609062,0.7108429948082556,0.6122211900440259,0.6175251340835569,0.6614226648903406,0.6994430210131044,0.6133108203217364,0.7513584349178015,0.9137894063568637,0.7987458415642231,0.8055282949192997,0.8516371303346126,1.106680613363368,0.9401271796856335,0.8732557147581128,1.0484732143723505,1.2150044347198434,1.1400816864065313,0.8873787311106647,0.7279166578502397,0.6702823658364837,0.8276260994857442,0.8573016648787384,0.97928907792255,0.8272005154809727,0.7537986190908923,0.589608130819058,0.5185021027739348,0.5654334963269728,0.5202304085208235,0.4674175450496126,0.5600857681076625,1.241987191837032,0.545493536849422,0.5200779952280499,0.5935537832846959,0.8059578485911705,0.4269989447678159,0.6540422112425939,0.7905318607687517,1.434907084249768,1.6019658505880412,1.8259499387139597],[0.5052291213262824,0.5088237879380522,0.5588241087504172,0.4613005392177671,0.508750434749754,0.4551680418713512,0.3658509600782319,0.39694461379296925,0.3929256638367703,0.33620532178499796,0.34525686493363794,0.43829768451099854,0.3365365421492275,0.34569492962705883,0.4273741516723556,0.3680013776007376,0.4201511817455067,0.4085940635890849,0.5646562024420547,0.4932206765571095,0.5470531405545159,0.5352121211826182,0.7713890247841751,0.8549645333248662,1.0627688160134572,0.7752753591948303,0.544783565591514,0.46171463229298015,0.4146634829927802,0.3780958350435224,0.42795274802548144,0.4016884607980382,0.45994389050034323,0.45029320462784805,0.3870120311362379,0.3984444193155977,0.39433520879237854,0.45342931057667324,0.4219548828819123,0.43444029886415775,0.5872829024297403,0.5965541473524233,0.5954794514199356,0.8999850220658248,1.0084615508148471,1.689867425926849,1.9283195416650525,1.1017902387051792,1.316827797329025,1.9341245318824423,1.4200994449932614,1.3878261200634554,1.1180785595416438,0.9045849347995293,1.239152465322005,0.6723958399426225,0.7627672684626092,0.7158121520176589,0.7725743535617627,1.0005055962651972,0.7552539652078798,0.7316535112195975,0.5670669545718826,0.7133934445154212,0.5914289977598197,0.5692205626561855,0.7354619038843795,0.5293878715923998,0.6801183776922171,0.6627106561509483,0.7961859940680583,0.9977064386244991,0.7962521293105331,0.8853005516092156,0.6026178952630014,1.0043157258153925,0.5307493164887032,0.4745210105639142,0.44880294986815394,0.4996466908244798,0.4812954043245474,0.6370125476057403,0.6579481683756707,0.5405930059217284,0.7756829289705817,0.4671590588718423,0.4398570609629457,0.5403436017999128,0.426555004096019,0.5255649684873015,0.4743898992786434,0.7719993594890814,0.5699995070487989,0.44659266241669604,0.4167812335201574,0.5476807554029909,0.5193484969112504,0.4855002665679673,0.46330068582831613,0.7384799297586488,0.4862986051986684,0.6293373507722041,0.4357191211721701,0.49570789434825213,0.5432131926578508,0.5517644269791117,0.7625987194016157,0.5746633481574182,0.5697981157356926,0.7153151714882783,0.514814330723045,0.434128960500753,0.37679396879736843,0.4023015071399748,0.38834023912191457,0.4599282861769517,0.4721882748364493,0.5333556094148324,0.6354357768260976,0.4972440743495006,0.5300359467432467,0.45059709457233377,0.5284845998357041,0.42007753155673344,0.37840652476751396,0.4695433310514382,0.5735549090500569,0.5239569522862654,0.5513062440578411,0.544997680817955,0.6313181479481446,0.680142999454115,0.6505393393564773,0.5628213951526475,0.6234767312784757,0.6538004357338398,0.7166582297374827,0.6140657115599645,0.5401230783363001,0.5116720071654732,0.6713515905706245,0.8110473294928002,0.5678932162324686,0.4832668993280704,0.48137391054703504,0.4264369303516396,0.40732553813967026,0.4131530653788371,0.37536638160796465,0.3946262430319683,0.4817771994335472,0.5239715750174745,0.9447316886891738,1.613892050995285,1.2632510282920053,0.5472359660384075,0.4353713556007242,0.43789331585091207,0.39617651337713217,0.4225195878663291,0.4762965577380707,0.40933162370123233,0.4896747214155729,0.5013300258132548,0.5845223771537709,0.6931336306775732,0.6795995634407421,0.8834601587244947,0.8894506269711483,0.8282686195286931,0.6490197251961846,0.5894486576665282,0.5946314543409481,0.5297108400888831,0.44382070959394604,0.43073096608711114,0.4333210038375286,0.5593521692527081,0.43841924483138434,0.45577334065453257,0.6196321710798673,0.4928230557951041,0.5614739116887847,0.6610880632412725,0.6381124144806564,0.6325968867137141,0.5415695858522052,0.7394294657356585,1.2848923206002976,1.0121831240456522,1.2103751904665536,1.0066692825052503,0.8677095910387311,0.8064048247225752,0.702809615707643,0.8935297959833064,0.8104856888991236,0.7418853163422998,0.7257306739239505,0.7095197884631314,0.6549454625773202,0.6063498301527013,0.5960431583033083,0.6516694569323939,0.6727394001535186,0.6567434180021983,0.7098074077204898,0.7404653909479068,0.7790651752953228,0.7324095583164403,0.7754336668298086,0.8605727346218751,0.8709459105100135,0.8085354022325085,0.9462175757928081,0.9171561389945931,1.1485314212485223,0.9754408690748827,0.880511386611055,0.925092599151836,1.0751680737512115,1.5375103168542872,1.3052139334352875,1.433573394709126,0.8839949969064128,0.8051911676138457,0.8125200151906723,0.8400475987794486,0.937869747849667,0.7893917604228178,0.8620393272658846,0.9513185469368303,1.1206681526554967,0.8763737831181763,0.9298368068277983,1.2294404669050076,0.9781365245037428,1.2762317413540476,0.8096387683214102,0.7467525278670408,0.7131472705856482,0.7402198502769212,0.7753623918471911,0.892217385391082,0.7854112657904285,0.7492972113023458,0.7636084559215313,0.880634874386037,0.7866913762133496,0.742655572852528,0.9406970082920414,1.0521256669327084,0.9027641323127287,0.9508570860404787,1.114301691513446,1.1529970933262017,0.9807304315051861,1.0480000477378648,0.927091926934204,0.8958243904402331,0.780138890713405,0.782778732054101,0.8846377877896829,0.7772660292013358,0.7715561162606213,0.8339577457953076,0.8547485505475506,0.765433735420965,0.922915376373799,1.0479515507853494,0.9251436469665932,0.9500660821558337,1.0069974647489832,1.2288745747972314,1.060589631363083,1.000682727189843,1.160886939966865,1.2885506945615641,1.2695478196871586,0.9931339691559542,0.8420981205274651,0.8005268997270287,0.9294497758423405,0.9782443249259928,1.1215720732719046,0.9674384314381211,0.8886365690448371,0.7009377669170058,0.6396878166943372,0.6456702089308766,0.6128588554508841,0.5560052269209567,0.6387042235107034,1.1915142197957576,0.6042591816998164,0.605779318492065,0.6623044150972849,0.7928258575182451,0.512000640452777,0.6991282439225518,1.0669070981695146,1.1427553396998966,1.6283493455955504,2.5959313088139546],[0.43771410940740113,0.4925359065978543,0.5594488741243925,0.43285634391001687,0.5351710547942703,0.4617012957784181,0.3672999861781409,0.3798241599796797,0.36929380680908186,0.3206950086272249,0.32577770777397963,0.43504330980595374,0.3089686016571024,0.32592147999637916,0.39175727317147124,0.33623521568755105,0.39950303692200906,0.3830434178704156,0.5429464540399275,0.465357370709105,0.5084424585037188,0.48705008666334715,0.7857484568750907,0.84861409203591,1.0817459126591347,0.7736997206500726,0.537808920206631,0.45161409731721397,0.3945811534592392,0.36442325869725245,0.3992397340737212,0.3828712403171934,0.4436955233676106,0.4227852514037331,0.3730238601672068,0.3795134263815873,0.3848955544789702,0.43033534812879376,0.3983015646197264,0.422764138331646,0.5817895837914348,0.5842103868295832,0.5729107097489239,0.889410251311886,0.9923480414441901,1.6813714839079241,1.9161332943555307,1.1072494747261712,1.3068780877608808,1.9333602730408117,1.4160986471213883,1.3843320208297838,1.1359738233814114,0.9085425691728052,1.2361038595579126,0.663792748780009,0.7675626242978747,0.6942558633618605,0.7538511038615131,0.9715384236081308,0.7267895907538159,0.6838618458170826,0.524479624060061,0.6623166440114411,0.5493180866496257,0.5232699712960767,0.7000376690358399,0.49215417186925786,0.6438958073972062,0.6289955144759336,0.7663885221420731,0.982598042998413,0.7694496650039586,0.8489989179394992,0.5640949309802555,0.9523462991474152,0.4852991456112487,0.43153356115212477,0.41827071114692416,0.46633900545113427,0.47832145310463836,0.6060186414523456,0.6934212897682791,0.5221518839000164,0.7656079992315683,0.46459244951791945,0.42461733365374976,0.526814804318343,0.4008413405224748,0.4979671863157814,0.4560853733668835,0.7537131779482342,0.5425303618751008,0.41405207847323977,0.3938559378387696,0.5152483613494157,0.49124759402114837,0.491941328335973,0.46738092268365816,0.7395403481011209,0.4522950028800919,0.6096285046940382,0.44069436980456206,0.5210321265397055,0.5664332472617272,0.5751357959772131,0.8382602117318583,0.616941823884526,0.6092034191747315,0.6949057516160295,0.5326409279327174,0.46857591041062235,0.384852923290163,0.41839978310722153,0.3769368528295424,0.4561607820875872,0.4680008795735462,0.5358831572857906,0.616643321370038,0.46049586966086425,0.5018007447996051,0.41537491661960013,0.5209075642446385,0.4206513683504853,0.36817606919972645,0.49469302043667324,0.5989629669894394,0.5585032049115153,0.6001099690665924,0.5754892420977448,0.6968114132598435,0.7471419629598167,0.7011188005963311,0.6295386474043984,0.6685096552915444,0.6771359648273918,0.7341187226299561,0.6490777092578068,0.5788409353306044,0.5487108226128945,0.7008945984259369,0.8197086105816418,0.5701613945609487,0.48969807454469616,0.48530186184066326,0.4050881252750175,0.4042959757232701,0.39077924734878705,0.37596886310743344,0.39526045993079023,0.47556418390323474,0.49882429045990206,0.9722036773719556,1.5841128962898952,1.232062033293727,0.5474438781889158,0.423045265685454,0.4248800152219941,0.38526164079471586,0.4181575830193702,0.4788544334864874,0.4105255703827116,0.4998429502417908,0.5077563635878612,0.6134797768570728,0.7241598918796948,0.71484455389022,0.921741633428026,0.9328507221971399,0.8696673687729466,0.6919339616817848,0.6312751049017772,0.6426409872554087,0.568462850532015,0.46645298084222103,0.44281184177703864,0.43730520409825463,0.5709816088948335,0.4378552579966169,0.4868338177972554,0.6288448172152468,0.5171796907819257,0.5987469600480186,0.7111327809887452,0.6831163612578101,0.655494941820331,0.5156693017006625,0.7255971037493258,1.2518493359011977,0.9806896497130418,1.1895677431908034,0.9564981559593874,0.8535087828223653,0.7923827954186019,0.7238472236248694,0.9510407911375943,0.8653773876835793,0.801729650023187,0.7993362451765329,0.776396825928557,0.7290927644119269,0.6600329418165477,0.6486307650100953,0.7282692942603958,0.7335364448041395,0.6972641524310463,0.7660639067568636,0.7981181897531617,0.824298641319686,0.7626865322097633,0.817772068477383,0.898620046455647,0.8979583410783983,0.8385579830243294,0.9703250723841779,0.9310454063629839,1.1741245758968755,1.0447558107740014,0.9495825387005147,0.9861733076951879,1.15242646351489,1.5627317122466848,1.3681901924217896,1.452168673236975,0.9677726500069738,0.8943967293629475,0.9002944616828472,0.9257860739621018,1.0641747459847903,0.868567736542345,0.9036157703117235,1.0104714191732498,1.1778921246054295,0.9346228858898809,0.9904510902499168,1.3219133542552344,1.0768027083682572,1.3471326688791292,0.9071990546358839,0.8335175116074846,0.764421454002983,0.7722089585383105,0.7915683436897263,0.9604505602385132,0.8023955399773285,0.7926676507176931,0.8269874299952372,0.9192294455449885,0.8117010712806304,0.7885587438931803,0.9823467787502074,1.084563413227098,0.9378142134421815,0.9915534330401021,1.150526814253296,1.1804402164601668,1.0160233706961248,1.0896952943770926,0.9928111673023547,0.961496744644395,0.8397959480331327,0.8521926202967687,0.9643160496310894,0.8440332998048297,0.8295585145973332,0.919642451209173,0.9326222090056785,0.8553141277601887,1.0149109589948366,1.1195268700080574,1.0032954342679121,1.0542896485839617,1.1063723419526525,1.3061350891928263,1.1333675856761967,1.0898317171020384,1.2497484995285824,1.353765366875916,1.3526419366136675,1.0708591712333029,0.9036379342985779,0.8549407488237187,1.0365346011406986,1.081962488693617,1.2300652526482945,1.0750102673017965,0.9919630547887536,0.7711752054765763,0.7134077775034604,0.6778676488981676,0.6450333493440783,0.5869514350899889,0.6779747369596472,1.1323615328061019,0.6217384769099442,0.618151315357888,0.6358889643693006,0.7830629007944588,0.4869325262621996,0.6656599662200096,1.1588614295275066,1.0048247926821423,1.9132885004175126,3.1768190752403362],[0.3853582432185414,0.46339418995580717,0.5280361522861456,0.43062355748165776,0.53756147643572,0.48184258437466354,0.41502361406336913,0.42035866933303134,0.41925883894632443,0.39149866208131484,0.3960888320396244,0.49673610878946833,0.38196905709444146,0.384425526851645,0.4263067996756085,0.39576428455525114,0.4513894569895047,0.43010444163222294,0.5570224493345868,0.4982871248267588,0.5057183394933638,0.48261039563609553,0.7977969193089545,0.8405217100251771,1.0712828450462186,0.7746701807041063,0.5566187954745963,0.4889332437627356,0.44531161743301195,0.4245627300408742,0.44588907437553493,0.4446066248579344,0.49113581874006085,0.47039025849033383,0.4258166924309372,0.43747013352797787,0.44097360150406284,0.46132125678525254,0.43393194275087504,0.4534727247932123,0.6308311090340859,0.6025979774148028,0.5709538672285384,0.8494667343402175,0.9840770853290561,1.6966720251294274,1.8833785025985925,1.1025186932427753,1.2819428957748875,1.8654459560642225,1.3571002323218273,1.30728751094216,1.0867544423624498,0.889392827430201,1.2278757190699305,0.6468688627658863,0.7561760763180498,0.6880575673669984,0.7645624958922346,0.9077500710983547,0.7019486313944636,0.6887249744673969,0.537098072427857,0.6532622517898871,0.5590480869215815,0.5339117228759382,0.6814120427181506,0.5232579889322261,0.63185513108635,0.6364616025522515,0.7673337322239719,0.9682900866786713,0.7657423466499012,0.8285877329179853,0.5610473163566891,0.9127771041793047,0.5051981153666792,0.46175096791902503,0.4501939335648255,0.48185126919102006,0.5352917860463656,0.6290585554192849,0.7452221347796344,0.5211409787350308,0.7617200561404742,0.502207629244316,0.45741727623422224,0.5844954510805036,0.4506651101821509,0.5350853755754781,0.49634992608009804,0.7470383700934009,0.5569495265494494,0.4486972200296029,0.436371688297004,0.5298099283767095,0.5032258430851534,0.5369849460124183,0.5124956092694006,0.7567270058325755,0.4919851418664409,0.6230283865351189,0.4822083093564727,0.5606885265266814,0.6073756483459941,0.6022068011781675,0.8663462852133473,0.610129807410113,0.6064343951676971,0.7254904145156151,0.5443007935732048,0.5040671013390027,0.4367691000218454,0.4574035462285698,0.42961758038864395,0.4932711975708237,0.5102340420753648,0.5284923331189179,0.6017205563575607,0.5067439818233983,0.5262167311873126,0.46235809866037636,0.5385997323514451,0.46618227248175265,0.4155222645131813,0.5165878527786018,0.6121927292358429,0.564699339933161,0.6042596718918626,0.5824357470289545,0.6870825019865983,0.7349173870729904,0.6880824896610209,0.6404585358534057,0.6569176192963284,0.653041694017885,0.7306751375377091,0.6421142448994763,0.575992864815319,0.5430870847242416,0.6729018652096839,0.7768780372102131,0.5772111065132122,0.5031328090667683,0.5095147027590801,0.4518451246584626,0.4514990568124205,0.43939997001439574,0.4256936246584095,0.4485225550832084,0.5066837759496562,0.523193827103454,0.9861354397098923,1.5661641265033466,1.217903702461453,0.5730049364858096,0.46461605776061216,0.4712097756658012,0.4455818982261088,0.46535715612299927,0.5062182066882052,0.4509587084316033,0.5139751203551678,0.5279411739152967,0.6170745752128156,0.7157657141680895,0.6900570544559625,0.8767958559257892,0.8947136242391868,0.8462490257929896,0.6791321640112552,0.6197066480916952,0.6440168508158384,0.5725609940942995,0.4902799764963018,0.4889471944624439,0.4796333471047973,0.6099324953742129,0.46690609342177675,0.5399412376955193,0.6601457856452035,0.5418496814714733,0.6096594524730207,0.7113637775928414,0.6882218916490493,0.6487013882368434,0.5010632940188731,0.6917422691465901,1.2087267535414241,0.945155013545755,1.1296987789852353,0.9137750098279811,0.8060241172429913,0.7472053935849419,0.6941927400883957,0.89925511386207,0.8400598242833146,0.7553493998403089,0.753356203716722,0.758746990085242,0.6871974902613477,0.6306582296370755,0.631393117290799,0.6906369905497155,0.6846190630582133,0.6543396065675451,0.7279186716473887,0.7467983966739614,0.7673605245123084,0.7122800487484738,0.768686421990487,0.8259338703769074,0.8225671307973647,0.7716622073616992,0.895773995708809,0.9098864148476768,1.115778273795119,1.0014523179050427,0.8873291131305933,0.9198410958595153,1.061762527331368,1.5879729711019106,1.3104959689381046,1.4494928657610493,0.8857652901248981,0.8286317201680651,0.8429887052680866,0.8629837534691548,0.9689201702849887,0.795551443015066,0.8412199257619631,0.9332935607294676,1.1080202826911438,0.8756958622751285,0.9436096511475734,1.227375872946741,1.017125886848312,1.2969411742022892,0.8572589101949705,0.7809510067246248,0.7174466734627697,0.7306690731122976,0.7635255943451722,0.9283561313231157,0.804784918090459,0.7747471370425949,0.7782940487004368,0.8982107314923223,0.7974648262458952,0.7469549139548052,0.9302190686545335,1.034746305456468,0.8840109690507633,0.9276327568959525,1.08071922492238,1.1147350633888458,0.9387194477187495,1.0075747223742957,0.9160610808101161,0.8867881686045396,0.7794943047385874,0.785593934780273,0.8939832137704891,0.7865405780631843,0.7806763855206348,0.8576122581817535,0.8764927136889785,0.8073439162100208,0.9569501630965809,1.0625947113693086,0.9681833831203897,1.0069757288096979,1.056595845536417,1.2564385768008837,1.0913919686494526,1.0582854749546502,1.1954286742261815,1.3254116855061167,1.3349966858557434,1.0758718658613942,0.8936206529120806,0.844747052297183,1.0599489205357429,1.0819030228821969,1.2038510658055743,1.0325074564737136,0.9500616097230953,0.7480023991656697,0.6923501732734008,0.6841629079550168,0.6409304698047796,0.5816379886637758,0.657956085134641,1.1394560949353956,0.6146305217385933,0.5880820771138118,0.6098132653055238,0.7970537502108055,0.466756789856757,0.6417513438268959,1.1177657032387966,0.9806156139010572,1.8375186979784957,2.9826156787378486],[0.5197125693842193,0.508490267123974,0.5231568709917345,0.44073569324767387,0.5305015837804843,0.5278084551536216,0.4616040343890621,0.5207324591029061,0.5093262610414878,0.47092641418098247,0.4933190715700656,0.5802653788812825,0.47072561156672427,0.4866419746273738,0.5469438135999881,0.5112667407458774,0.5250157635643912,0.5189131737291097,0.6268760206085534,0.5635347163371014,0.6054076975288843,0.5844925405269066,0.7861225201950016,0.8601638948505425,1.0022905599383556,0.7682840845814429,0.5850473952774451,0.5142991818722062,0.5128817837866366,0.5112275368311421,0.5497175794186319,0.5449708602664082,0.6117786332355355,0.5850296865614867,0.5349115258793326,0.5305032451613684,0.5045282733645404,0.5299588400332009,0.5046441932175424,0.5351873159711643,0.7119257364007565,0.6466396199588977,0.6172807517847513,0.8353074922424214,0.9914912751224084,1.6757658617993163,1.8029402558255812,1.0992941752308591,1.2691490252273163,1.770500871198664,1.2928235247578124,1.1703583132134718,0.9887735648291394,0.8369387532487272,1.2964353152531085,0.6838663906211947,0.7466736487506145,0.7646230197758568,0.8564029123454507,0.9153521963523373,0.7300546005324985,0.7254984860761009,0.6174201258902516,0.7657629931251584,0.6435703730921748,0.6282141205814088,0.7707034000263987,0.612839698424234,0.7182424781054471,0.7258407279659277,0.8431713723429802,1.0557533484263748,0.8608546932093704,0.9340241757092779,0.6526007582801365,1.0012835738159571,0.5883499775241381,0.5789474962013046,0.5353537927772055,0.5593573628551692,0.6140201691227815,0.6610509194714738,0.9099046048724784,0.5217831249622054,0.7375008316457129,0.5481089802867293,0.5342872697941149,0.6104162565390141,0.5240018449958305,0.6368538380329799,0.5978999414737939,0.8086032541182258,0.6559358870109028,0.5867655425698795,0.5683152596906333,0.6488151122736896,0.6191863834042862,0.6327779854736505,0.6156201986858161,0.8417690168675097,0.5884469451866423,0.7240548017353711,0.5585738224995677,0.614888786729084,0.6474118177475192,0.6345727210171803,0.9366808131541494,0.6082910491628365,0.6182750012458285,0.7672966805402651,0.5601362624377895,0.5197706607837533,0.4755690554452065,0.4874201171893505,0.47332136960518434,0.5137985069357596,0.5101227764215425,0.5416985417533601,0.6257476256216069,0.5570292036824466,0.5890770706371085,0.5033859336333958,0.5630932367901631,0.500556280358256,0.4676111656081257,0.5115068706661883,0.621395508785481,0.561871998743082,0.593331540161552,0.5824329360729251,0.651734749140564,0.706103147133233,0.6441556666634587,0.6362523652810386,0.6256456619163494,0.6231212451382978,0.7231454030398005,0.6169114754884605,0.5610658605863899,0.5429218558562886,0.6666628846755397,0.7343658081649579,0.6072855162212201,0.5186818426897452,0.514666573377739,0.4919166890786516,0.4741182630323995,0.47299847501288617,0.48663964289449557,0.5349306351946,0.5815593278903297,0.6065587184397946,1.123917547262213,1.5981923844344437,1.2369004616934958,0.6671926258414989,0.5501805122066111,0.5414190427917736,0.5126156207371924,0.5319597192148207,0.5175708778029405,0.47082327452914974,0.4984513447455052,0.5104613710667436,0.6129579436565952,0.7059460983758763,0.6605834312410496,0.8358582922188221,0.8603629830655991,0.8194234470709113,0.6428635979548334,0.5964245142471355,0.6167341472559041,0.560612115928452,0.5004425768481306,0.5229205977018992,0.5277347861051944,0.7259519556193587,0.49331344811409966,0.5878373822736438,0.6652466728716151,0.5589799657330451,0.5968366900346239,0.6624857694260523,0.646465404090647,0.6169013517774046,0.5342389780459726,0.7203310302846361,1.2184748600572026,0.9053814535863073,1.0922933208746055,0.8786944557729127,0.7658892851235132,0.7103267016876206,0.643377479214798,0.8160521859253056,0.7864898333389604,0.6993619009248748,0.7181275152438981,0.7398400518451591,0.6991458894340665,0.6861781840644483,0.6612873162963396,0.7071301284974945,0.7359208637156002,0.7020906119221504,0.7521182963675801,0.7844460177552436,0.8193571833171345,0.7538757859321437,0.8163483762453422,0.8670359778103321,0.8447306322623361,0.8105203522011166,0.929538521003861,0.9587125100094354,1.1422674482309951,1.0520942726222429,0.9295576672496888,0.9730252589079138,1.0765366399173024,1.7197016955796893,1.318098369990553,1.5582292618667963,0.9246651840665815,0.8794162479219159,0.88642263449123,0.9167326383336155,0.9885622363284821,0.8172002438941347,0.8528801970501239,0.9209419825612541,1.1069719096381831,0.865061407238193,0.9199817342106421,1.1787313913247914,1.0145254790258043,1.2566873598824662,0.8493318201111232,0.7618822441808186,0.7212884171854334,0.7733186613645553,0.8396354645996362,1.0097408951875826,0.9079450828978319,0.8471760765571965,0.872704404225506,1.020287128116519,0.9004626856873398,0.8220557979037154,1.0286046581581798,1.1279512816398476,0.9409976232074484,0.9964242598782633,1.1554169431633368,1.158444012349343,0.9806451304497883,1.070423567014292,0.9757398483482222,0.9469913237319296,0.8482473254456525,0.8525046992836295,0.9625967181736186,0.8480965845789177,0.8493692836352241,0.9118009641830948,0.9264162709875124,0.8391599974728561,0.9780563463171217,1.0778016337146514,0.9928725469664925,1.0182245758756099,1.0788719802086173,1.2746704760410095,1.1010887795196453,1.073590045813051,1.2050836030045255,1.328043201046789,1.3744168931994751,1.1161885133329306,0.9303393784497896,0.8764030899194468,1.1169543574321141,1.1059825431293857,1.2020626219521517,1.0251740662089677,0.9613556893770447,0.7294116342666573,0.6793959691997339,0.6888564750760536,0.6563120412150869,0.6061620649979776,0.7035679737675788,1.2321027207715973,0.6109728706919283,0.6111071824076844,0.6764100539522828,0.8995906433273507,0.5134907218476741,0.6780476268116761,1.15979451706176,1.164190920849404,2.0051041709661774,2.946165024174583],[0.589190854744906,0.4913447811551691,0.47945326675616684,0.4640190923547869,0.4777155848550553,0.49334636897313794,0.4162043007810744,0.4730829533147777,0.4099342885618639,0.3657339226381592,0.40541812415422074,0.5094338395341179,0.38231668505737726,0.3778380952603229,0.471560088442848,0.431875498770739,0.43192293934756165,0.442693292883467,0.542108065033932,0.48046831192945505,0.5362252714302568,0.5111541926376946,0.6921003162650602,0.7869380622002589,0.8933764001153486,0.6828996393569579,0.4869113024467464,0.428087358444889,0.430634959179976,0.44556625052466914,0.49756619331802426,0.4835590236631038,0.5664879469170655,0.5437610704557239,0.4771477839466987,0.4597160736542161,0.4480329753274308,0.46549359219497355,0.418308158326435,0.44680311245086646,0.6575648099452456,0.5609005677708022,0.5296682177282345,0.7273662818649593,0.9071651842641931,1.6465522894611158,1.723002085143112,1.0066464177796408,1.2557326032979579,1.7210774510084776,1.2350451266070785,1.072521339005013,0.9000354461991514,0.732260140656601,1.2763010945639206,0.5824234580090921,0.6230570231337617,0.6961954755073194,0.8243418878518542,0.8076271768857443,0.6777880565012961,0.6925149206402776,0.5890337095245424,0.7316476913096192,0.5773733488311659,0.578260580449093,0.7295015955528531,0.5614868909923485,0.6737342280439534,0.6535752004480836,0.8426587988251787,1.0796300609792544,0.8189576962210424,0.8784001275424754,0.620522291509464,1.0142025668729049,0.5421498100324535,0.5379916963921673,0.4952350162646289,0.5153068574547072,0.5749306615103981,0.6293600291018975,0.8779370095057397,0.46850022815626463,0.6683015619229611,0.49538766542518375,0.4761344068173375,0.577097847926111,0.4585252280787739,0.6051236240066917,0.5449958251575157,0.762747080869567,0.6155487669463725,0.5395304429535017,0.5102750208727064,0.6018230643508484,0.5782130797109347,0.5720017440954888,0.5649265329420362,0.8487043246094261,0.565466224612272,0.737637928252019,0.5224003858957046,0.6148825395877275,0.6388214215663593,0.6209123047137453,0.951197078072666,0.5904213518627792,0.6095298665444581,0.7755911333979988,0.5510687585477577,0.4689824536566899,0.42612240734849605,0.4103496173105149,0.390090482648197,0.4328967661810217,0.4255074467842483,0.4707780449896674,0.5539852705829156,0.48431963262361166,0.49031107585790173,0.41693866001623214,0.48867499449601215,0.4314426372194384,0.39734239437333524,0.46127559826433023,0.6009938848893673,0.5358585580890544,0.57340091075358,0.5676476517330824,0.6190849402411086,0.6836098082530395,0.6106927593303856,0.60783646836169,0.6058148733930057,0.5947914233790902,0.7007680878641724,0.5510526750295083,0.5078443301920169,0.4794062056284406,0.6209162925923679,0.6744480753818588,0.5247339037971503,0.43275790163749334,0.4236057156990312,0.4132679135748145,0.3872859635132863,0.41251078657027457,0.4319222695531979,0.4865411227774712,0.5671006288461246,0.5783250570962778,1.1186507290969547,1.6182292412274037,1.23913422828888,0.6697432109624307,0.519817729397402,0.5290436991930074,0.4606760399050568,0.4959603079695626,0.47079533274521235,0.39035927355832734,0.4248136912968483,0.43263882476445253,0.573058581188341,0.6372018543978819,0.5962957314430379,0.7683513388437526,0.8024859402008796,0.7763318421899448,0.5951714631432726,0.5302179060797062,0.5611871412793497,0.5145190822135123,0.4419732477728644,0.49295873501987847,0.4761301545654502,0.7170653174153491,0.45639280740208327,0.5425586825833021,0.5960613300213321,0.5217960060856938,0.5548795563375455,0.6154210616536714,0.6034342166024929,0.5823556191135367,0.4787409314772104,0.6998174219637221,1.1638714065314357,0.8524414850243999,1.0382117105150817,0.8385841534243808,0.7327143005658462,0.6682397383688501,0.6037883866482955,0.7439297763694807,0.7363166685095153,0.6624369759020642,0.7026736503005094,0.7151975772604716,0.6971391627884452,0.6979475485949579,0.6614920356846011,0.7101270923330166,0.7299158831571039,0.6945488648081095,0.7721408585657862,0.788344076837272,0.7961107229907813,0.7509197333260996,0.8339012787808421,0.8569607397160732,0.8053882713139489,0.8332321440663215,0.9548088876275107,0.9841159635573066,1.0939793581894102,1.0463138935960792,0.9240704727399058,0.9552532709618824,1.0475404863496416,1.7793564311541508,1.2731679137962792,1.523866157636651,0.9064980031543162,0.8545862506165051,0.8607464732694333,0.9112521577269722,0.9742429905845165,0.7952821151085114,0.8250109607908639,0.8758532663853875,1.0575588133746479,0.8250762405149199,0.9173428042954558,1.1082854387785728,0.9939824009160068,1.2661864797630005,0.8655435160007325,0.754478535629893,0.7116770521106462,0.7700703542451978,0.8480322826394696,0.9978765801827403,0.9116890433657048,0.8376282624626664,0.8476172346408323,1.0228299381609887,0.902174724073515,0.7944721152454032,0.9925592202602477,1.0845813681708065,0.8835233603512422,0.9510264961251194,1.0995605193772122,1.0835503987769668,0.9390386962542927,1.0391088088235891,0.9456920977364566,0.9194236684023228,0.8309719336093827,0.8353509331161271,0.9400435794406198,0.8358490512126613,0.8278370859455835,0.8881779603528616,0.9074013877777207,0.8182306639975914,0.9472227904209156,1.0519419452991978,0.9657801163128553,0.9788801123393196,1.0237241638156347,1.2556832114935763,1.0747969940174251,1.0581832983545547,1.1807149399787373,1.3381194080332228,1.3751178832982796,1.148308932489068,0.9544179183740996,0.9104305915414977,1.1763295804374976,1.13697489498991,1.2159168918701835,1.0163664184712755,0.9747135336438678,0.7225930736568165,0.6627694003881623,0.6947682480874441,0.6417444878179985,0.5825858868405988,0.6666788105305274,1.2888345656816904,0.5673457708819887,0.5854858223097865,0.6599181065050633,0.8842760527919605,0.49328313161108533,0.6981933780780811,1.1252463464649323,1.3084088478236604,2.1309158756665205,2.792477723304093],[0.7674617916366793,0.7436888825326073,0.7255556893704743,0.7864860766299104,0.7125996823953518,0.685650618234001,0.6478782169002073,0.5912273999926397,0.5645120108314586,0.6016461012549938,0.6274157486783907,0.6538144161410075,0.6016194918895474,0.6384060655246674,0.6862261578658863,0.6315266513090749,0.6596657387846092,0.6918310661345758,0.8083378832394139,0.7542409459509386,0.8026904467716822,0.7742613936722575,0.93167862564081,1.014434266406436,1.131949859713208,0.9412635954385339,0.7646736070296166,0.743581372612861,0.6716134059992539,0.6092441098652612,0.6745263498319571,0.6157801203808139,0.674979659767761,0.6779783629569234,0.6295256285528069,0.6448505585783476,0.6130827434780446,0.6620155679749905,0.6650685315092613,0.6617259711387998,0.7646887357669379,0.7975890422241966,0.7618178461966388,1.0148338367335934,1.078410975794417,1.7394291868495857,1.8198006260565593,1.1074929806135412,1.406321620156225,1.9387877551385446,1.4068638973657466,1.3378639626611903,1.0390189788078048,0.8787891512488173,1.1906847458460812,0.6857144965237237,0.8067979654793908,0.8541710401836166,1.0122689587292122,0.9370281572514861,0.9132088190336711,0.9220909849181476,0.8052117075177752,0.8862991984983166,0.81015075012114,0.818104359692564,0.8846719978062461,0.8063277984607373,0.8971768549786505,0.8802394880648035,1.0461033777299944,1.2578353542274272,1.0193493913676355,1.0379009672197312,0.8393925466181165,1.1823738837889373,0.7603107676287834,0.7233177739505221,0.6863304795582823,0.6912980033401936,0.7107202301918822,0.7720460080580224,0.8266471967501285,0.6424313712429358,0.8094464874286936,0.6398267654415699,0.6346350716869769,0.7365553421163251,0.6622415412476047,0.7481018730552759,0.7068638522923115,0.8846440902333124,0.7640923187670676,0.7003973562202283,0.6755530182231614,0.765910316078385,0.7558409032426924,0.6766026892117326,0.660419204925622,0.86633071065017,0.6652593537300081,0.7205029024790107,0.6022608460337137,0.6930041844991555,0.7528139790085294,0.7349586431594164,1.0665052475841375,0.8089174823374058,0.8218175154593385,0.8970248769967999,0.7403655653824008,0.6767646464038192,0.6335071282037278,0.6690249218167776,0.6643270626382947,0.7580833600184954,0.7918416340219588,0.8177089256026575,0.8868488272010432,0.7853417587295611,0.7945193998977921,0.752561275457095,0.8569673818534389,0.7673768993807512,0.6899833701077369,0.7646132433278038,0.8323246916097375,0.8070079600097287,0.8210580240605323,0.7734932250977641,0.8797170709344609,0.9073333638297072,0.8886081591430602,0.8256654265353603,0.877144637674734,0.858085567955401,0.9855879970059032,0.8767181353104175,0.8700315906835928,0.8080860617492808,0.960204878436556,1.0088778089658874,0.8588691321275502,0.7834024444206577,0.7368769853921641,0.6857495440263268,0.687369516040803,0.6673007930113977,0.6215079830597019,0.632061378600461,0.6692969477452977,0.6270483477130627,1.0677225941551558,1.5381455151349515,1.1316296576808047,0.6961823381303038,0.6120548582926424,0.6305638604591985,0.59536038847359,0.6211264582632466,0.6885907813139359,0.6412754771740351,0.7468722457288106,0.7222538656405965,0.8280909551473435,0.9454521983809367,0.9123331406323992,1.0853054597707859,1.100290050911002,1.094754775430333,0.9346720784409411,0.8520124700070578,0.828395551723685,0.7500752909052657,0.661158626285095,0.6423493520929087,0.6145142826080352,0.7750276680074215,0.6323138820863285,0.6899000878192039,0.8214236349815379,0.7092785117923157,0.7814077620198966,0.8579237052803593,0.8682642261325326,0.8471962883217303,0.770992423745356,0.9211079690729689,1.3505684771788347,1.1132864367110331,1.3145699297933608,1.0026084024845854,0.9844237650123839,0.9291074549880829,0.9152336991553798,1.02611622885162,1.0061768167064407,0.971772992137729,1.003280940065415,0.8757908753652309,0.9473717653603309,0.8882874510617348,0.8377307140313104,0.9660295667676146,0.9804397748576,0.8901242451698378,1.0135760746723854,1.0522549817519906,1.0050136821735907,0.9478217376481196,1.0719355510242545,1.0839392076721102,0.966685232116295,1.0433554581925697,1.2183609392917456,1.2653446479952504,1.3186676018401313,1.3890240677340893,1.2321909251872865,1.271756024446536,1.4052076186773284,1.8474078618607048,1.5176478836352931,1.5609008722999727,1.1851853935294738,1.1237228964145132,1.1224499800283867,1.1651205812896086,1.2480122255296187,1.1067184194085973,1.119220384375013,1.2081011419435503,1.380170811398714,1.1508447915341076,1.163238488227341,1.3992105227730478,1.2585402219850084,1.3957234508194576,1.1232764814043257,0.9716304447864368,0.9841683942661923,1.0249442494542989,1.011997732509887,1.173492006298884,1.0342774585462196,1.0259628775448355,1.0314644286184864,1.1215002164724313,1.0020676603838805,0.9567839466742567,1.1214017274250059,1.1695306863157324,1.0259430592540735,1.1431878293802422,1.2497817312435526,1.223505113010316,1.148696430071672,1.2778326149239907,1.1829401896836447,1.179178022382184,1.0689867622904057,1.107367603817403,1.2359796948267996,1.1081618852948478,1.073311846208979,1.199076436823719,1.214544974174561,1.118324512671847,1.2976816428742812,1.3595762964571583,1.3042084997319316,1.2620697157927048,1.3449809602057807,1.604362882475298,1.4399450117006445,1.4090679801681956,1.5616435053627662,1.6527808439197962,1.7762951523110582,1.4826091362568445,1.2762413677606355,1.20311489147892,1.4478191387172323,1.4141854072685953,1.5258360107795477,1.3191673651483131,1.2402779264554191,1.0060763120777156,0.9065119218530668,0.8833616730558027,0.804758483283396,0.726940376510429,0.80445670488138,1.3034269906110785,0.7352842176110583,0.765800932954668,0.7805730283175821,0.8893499467365461,0.6748376439927513,0.8498176312353839,1.5144091934715422,1.1844503107548736,2.1518997184520847,3.4864740250308883],[0.923926008648,0.8666011926088089,0.8643785714560321,0.8655989032143264,0.8719092691641617,0.9035176259756862,0.9047379228992769,0.9874124852966979,0.9083508708537474,0.8700915053647226,0.8866590921330214,1.000260751475274,0.9070308648140437,0.8458229678359132,0.8921693409555317,0.8997387647986018,0.9038503314087329,0.8902947854995285,0.910730019766586,0.9129515077992832,0.8779072832810062,0.8817595186308324,1.0866385411677562,1.0614186399716876,1.2529531973469845,1.0222456162098357,0.907189772026313,0.9072797556660938,0.9210995501396901,0.9479587002265832,0.9289105277816159,0.9907848455913275,1.0145858571007633,1.0131010670167002,0.9897867250167761,0.9382188190411203,0.9740370643491855,0.9383855646445521,0.8973254509637669,0.9268878631218429,0.9008232228767326,0.9806091876594673,0.9425133862856243,1.0862110797417912,1.0046083867507423,1.593295523254592,1.6147690496779197,1.1429013316430394,1.3293900226069484,1.8107555069971746,1.4573775122355754,1.3778969832924697,1.2370594361337857,1.1076255807601456,1.536663903217587,1.0319060143748064,1.020114613965657,1.1320238754147511,1.2568164262091497,1.1190410790057386,1.050620806806066,1.0682322045774622,1.0006686018534652,1.1034380467280829,0.9712488597513699,0.9908060639881356,0.9440378736052585,0.9385052248155967,0.9672758038701341,0.9595313380968782,1.0536328711143945,1.2976716853116874,1.0755857120092005,1.1256768508066641,0.961765734870273,1.3040673838534436,0.9705915485925382,0.9792241477049185,0.9773451137196528,0.9838884388683541,1.046587612511079,1.0211629961484419,1.1647064895775638,0.961812288146974,1.0439097897991445,0.9533922560153423,0.9636844558789964,1.0382917696362262,0.9675811009986942,1.04889610620057,0.9449458840155756,1.045140023008362,0.964808919662426,0.9386157720812148,0.9327879403333396,0.9698985387286091,0.9498115731344238,0.9905476846228854,1.004341496283442,1.2252727049001086,1.0515849717618746,1.161281786790371,1.0398110305060126,1.122128323477761,1.1320426909926424,1.0916156100033279,1.3666001399899723,1.1011637754067405,1.090257959460091,1.166501648019162,1.0622393723311137,0.9905461869089175,0.9307887687268325,0.9015958477634932,0.8752167571943343,0.8894845082573636,0.878559997026294,0.8985659887999158,0.9146074852412488,0.8962922787438803,0.8820746964300858,0.853383580258877,0.8658629447664694,0.8535044097122333,0.8578888679126381,0.9099217988497404,1.0456627292239342,1.012865532825334,1.0436432866508194,1.0397616976249344,1.024331894410404,1.0636705432746147,1.0333070555684758,1.0563266557486928,1.0476781923598963,1.0359308703436585,1.0665627880382795,0.9851225326068663,0.9246657119895223,0.9041095583075452,0.9500565178020931,0.9851955129157084,0.9206313106014201,0.8983988642421292,0.9187384559477361,0.8978626673071168,0.8865219198382938,0.948127696674599,0.9506889347430074,0.964324877343588,1.065913144593745,1.0330452970489656,1.2757209588716336,1.7054943568570335,1.434095249876548,1.0946996767372716,1.013179390287107,1.0710086394271165,1.0102074045684994,0.9801601753293442,0.9534734061924982,0.9227814883390225,0.9138731154519806,0.9409520252566445,0.9802475980217865,1.0160768932739634,0.9848149453634655,1.1020827000179685,1.1447334861029936,1.1149970176130564,1.0069697853093162,0.97895669864884,0.9965175843169186,0.9859741199475937,0.9566789498341063,1.0271740652859351,0.984721175459229,1.1613911631595655,0.9809836413547433,1.0633331982625722,1.0682396688540279,1.0349283026140426,1.0451653392960045,1.0540423787988036,1.0262741604519388,0.9992783438421242,0.9257937062259772,1.0600644635418102,1.3395247309611,1.1517232909554187,1.26248319948336,1.0531106517102462,1.0526873220801518,0.9975535636717192,1.0159289282616732,1.075067075760594,1.0609440053179793,1.0355159877898954,1.0322522789656678,1.007966100262614,1.0439871161582803,1.0813627881850423,1.0182037350487538,1.010932117461859,1.0672997671305977,1.0433491139489408,1.0226311221355617,1.0418911146509526,1.1090999278178992,1.0398383003362062,1.052785343110265,1.070085036829185,1.068272999456071,1.0574799384684188,1.1042815439721911,1.1303498606403926,1.2191622187807272,1.1594450324315435,1.0902076768176439,1.149829528067764,1.2520901827490645,1.8006594703989698,1.492582110581213,1.6059384308493143,1.1706813143521564,1.1630373448631763,1.242086144770996,1.2412832910186944,1.2053625579978213,1.114676014213485,1.181721281491331,1.1785509826706413,1.287681850533032,1.1154487149455596,1.170422624603628,1.2802475489614085,1.1608241359200524,1.2914532688364864,1.0958849268315431,1.0882393653344606,1.1147584304510672,1.1874889799580401,1.2226145639359152,1.3165095147215506,1.260001025862106,1.2509000628419706,1.216107771044587,1.3274262864948998,1.2697034313130457,1.158604953011672,1.3017033626473515,1.3575095019392434,1.2133521577399797,1.2805693049959397,1.3689746761780635,1.3759287854507751,1.2319631706883865,1.314866697890874,1.2201721460832275,1.2386823874567525,1.1756926319891152,1.162668882132218,1.2137780638826416,1.11941911649777,1.100107867107349,1.1322893875420788,1.128479834243106,1.067111785996884,1.17909302487574,1.1988636015356129,1.1565051461753981,1.1567700066883897,1.1929572978292224,1.4129386423128294,1.2122593638213273,1.1792447263052028,1.2818212255961932,1.3086803142515824,1.4681103800085342,1.208963571644704,1.1219105378742549,1.1057900772442413,1.2393654184437772,1.2007187247346673,1.221531707142485,1.1327851580639472,1.1262219870109211,1.0172643117863567,1.0105519361475008,1.0312412285482229,1.001276297161247,1.01457004310799,1.07268296024606,1.544590306212457,1.0568912360402265,1.0254211388417434,1.1200849517315574,1.205463520537324,0.9649969565670431,1.0855669966057608,1.9411519098493546,1.6385781249005777,2.6124952120121896,4.0608606743928775],[0.8160270943956568,0.8474818055114898,0.8528151029562043,0.7782013145704958,0.8580934903304358,0.7798455511861371,0.7075172908274825,0.7666822957007947,0.6804182596120454,0.6217157051232179,0.6133574912942189,0.7150372009035795,0.6331806039073028,0.5897651059244744,0.6242253371625229,0.6302045476881322,0.6427885657398336,0.6277393863634618,0.6499146222353177,0.6736353049166913,0.7019780284504837,0.7118953787110015,0.839270989938599,0.9269210993046761,1.0040554316458599,0.7990008014861679,0.7156086772299519,0.6731000221998157,0.6532200046839268,0.6778968640367717,0.6631072034834461,0.700910267631216,0.7233895207364818,0.7096818585295251,0.7002551769826852,0.6765995276077416,0.7132962981708109,0.7117060055887976,0.7158884985789086,0.7579832949316809,0.9611652006921328,0.7429270650682727,0.7316440264058897,0.9115130812295721,1.1492851798618744,1.8639936037336564,1.9461337251550102,1.2688611851731946,1.39375193697477,1.7402947839023712,1.3315486802172953,1.2526549898770134,1.091809422534105,0.8994721853445871,1.3264992848760218,0.8235464886789956,0.8202249420160909,0.9083547500893767,1.029718513731686,0.9281418467868411,0.8420022562440999,0.8403636745614368,0.7333414832008706,0.8019348476079141,0.7019070887797625,0.7108621342149695,0.8012507619334115,0.6885245089828854,0.7693494123572495,0.7404423781280711,0.9268506290005012,1.0988604995594586,0.8629317951887056,0.8903303768568448,0.7140902221608655,0.9838539529533424,0.6836418797273388,0.7128586834682225,0.7159779699061517,0.7363856237556583,0.7633589324960228,0.8190593088600627,1.003933416892758,0.7751351948431296,0.8206627668232392,0.7346145146348543,0.7116364248266657,0.7887520304786416,0.6943558173062271,0.7820332420430463,0.6763128238497438,0.8089371323032488,0.707342895503828,0.6511947593074184,0.6501624426737012,0.6947083942832023,0.6879830025054327,0.7039915046665463,0.7250410891803781,0.9433155073650225,0.7656438178085754,0.9038243489348667,0.7758874948359141,0.9065799587619379,0.9537966524418056,0.918511619149489,1.2569171756402033,0.9269269212172772,0.9195201309888872,1.0189516804534366,0.8646262505383399,0.8287019661563452,0.7402642617947651,0.7324833575846784,0.6619407609674413,0.676464751208912,0.6972533290127105,0.6481366131159031,0.7021216523249854,0.6886485619796414,0.664565677446416,0.6596292333576381,0.6626492199333248,0.668213725856652,0.684527068683067,0.7606737918816731,0.9150281364745051,0.8091594737807329,0.8829817316305311,0.8710514109696709,0.9462315770670178,1.0148700662361576,0.9247368603095253,0.8968678619944699,0.8891055015520262,0.8070781649786498,0.9619982357713164,0.8256533797970306,0.7589387207174241,0.7236248073207138,0.7414582820899315,0.8041311664679647,0.7205999372861004,0.6971742951268604,0.6980136462822956,0.6890619548503006,0.6830526754864865,0.6889819305637929,0.734957705752422,0.7375240402945278,0.8455121057522011,0.8225682312085371,1.2317090015230192,1.6299773608544406,1.2200408814789738,0.8687135859149123,0.7596355069109589,0.8202086968895244,0.7491269584385717,0.8164397220842098,0.7472624552186541,0.6940463702278458,0.7009049065655988,0.708596749723873,0.7646143624744804,0.8383806367115297,0.867725772948185,1.0190218539420322,1.0615433880725857,1.022754479450514,0.8658231171597218,0.7872394395377882,0.7888641550401413,0.7678683857636837,0.7420642939198745,0.816566526725883,0.75052110189878,0.9948915731752096,0.754822874824974,0.8778522214445853,0.9620310148033431,0.8386159392413182,0.8973839286041204,0.9164575988087889,0.8834460676812992,0.8396191434095912,0.7918643757831024,0.8801078228085009,1.3917313966654117,1.0971099470296874,1.2545872289695144,0.9465735687230172,0.9529812272795538,0.9444858871705061,0.9216764969372666,1.068242654823965,1.0310382324163736,0.9996304653339182,1.0042810762201955,1.0157350277721378,0.998036068921453,1.01143559062788,0.9613531639116148,0.9906998708017719,1.038150452215793,1.0039547377105469,1.0031431042743437,1.0252748787987238,1.0946473377195818,1.0025953598199575,1.0171403043794138,1.076587108837164,1.074620927287388,1.0165126997698357,1.0998401596945289,1.1273916729224225,1.2761848071149233,1.219422730604835,1.1083324128525194,1.1881736549280624,1.3386859299787428,1.7439388188999734,1.6261137886777561,1.6822488738799533,1.2049111667268586,1.1983130654975138,1.2236838564234171,1.2164924029705195,1.2453812360742824,1.0916175238521102,1.134693154126469,1.1620160031435591,1.2597895398674694,1.076941870947407,1.1560118870727087,1.3356257462841552,1.2509460957218534,1.3415943331222597,1.092003553276258,1.0473920109168038,1.0550766317128386,1.1318031847190182,1.1933577675522475,1.2533794528775775,1.2111912074875117,1.1874370351298336,1.20133876749695,1.311637107402244,1.1934810026195533,1.1428001633591556,1.3223171082678187,1.388544458569159,1.2333535493916163,1.3100417286975368,1.4251102785493734,1.4443131040388089,1.2760464206727844,1.3773876901899944,1.2530103199205018,1.2592035726145434,1.1669114688909352,1.1623358535089412,1.2263548229907866,1.108190027363812,1.1021033297927358,1.145305361455078,1.1533510847241166,1.0886648792016762,1.1853537261334348,1.2534933757758826,1.2034609740145965,1.2518345096729675,1.290994947893878,1.4843043403557372,1.2592908393425986,1.2150931298598957,1.3646995391546737,1.3518324715937022,1.453884418101745,1.2274892892615925,1.1400545066211427,1.1075049749776662,1.2788359565010947,1.2351049482675296,1.2759608303202967,1.1815574437222789,1.1528540081273317,0.9827348932803093,0.9816351490894285,0.972826518704467,0.9425771786683905,0.9388151350338476,1.0521169081892718,1.4696181065373568,0.9291576634548996,0.9556222975558496,1.0304184101994873,1.1344939342797093,0.8712087503399706,1.0256826976596316,1.7570755799649214,1.5661962564048217,2.701484774208258,4.293416526266506],[1.060572728198288,1.0460096162849108,1.0534043004122216,0.8901272738242942,0.939823718302374,0.971858773948806,0.8997075317364959,0.969103234215189,0.8583783839459722,0.7771462881729215,0.7889452365651455,0.9309770701458585,0.8170352959527502,0.7413152931939682,0.772466735748718,0.810047553655627,0.8221447400224138,0.7958435546871011,0.8361158786239749,0.8272733159348875,0.7877875156004726,0.7566683590398525,1.1123929559646197,1.0778994311355283,1.331224864632979,1.0439581373228053,0.8625341240764088,0.8428058201280456,0.8404353545518564,0.8781398613186181,0.8226222592852975,0.9103339263956224,0.9208295876621991,0.9228584377776718,0.9060657253757625,0.8560579403558333,0.9146884789775235,0.8599132751521711,0.834113844514958,0.8552504624399869,0.8462997672912674,0.9124335842585793,0.8859671190675006,1.084187913722453,1.072261485293542,1.712456451908226,1.8411803105081013,1.2298873180879177,1.3936011000909936,1.9551968692313795,1.553849937122168,1.5085740015648326,1.341606103897747,1.1460416975132806,1.4725706559368863,0.9650425460333062,0.9874946008942239,1.073616348907173,1.1671016367943736,1.0772162995999628,0.965312791481268,1.015925739152304,0.9245130029746403,0.9603265405265553,0.8542526039789111,0.8938443239328386,0.8717895678115057,0.8462171009674442,0.8837233331590899,0.8881629239097307,0.9607409461836034,1.125453200766461,0.9783976381196641,1.0085423053074998,0.8673488049283121,1.2100186111663696,0.889070268782277,0.8890936216468056,0.8953105416326241,0.9032865942403101,0.9853150895204188,0.9866047432349919,1.121054635368844,1.0064819131568665,1.047687581955426,0.9319814409103632,0.8848923360007664,1.0040537089866735,0.8752525852426577,0.9329353650754508,0.8436542876630168,0.9172447374663033,0.8379608077341452,0.828514853862839,0.8216007803638574,0.8425897108795167,0.8195770124636025,0.9208301996430682,0.956446302000628,1.214445821153012,1.0059571068862183,1.1840178815656255,1.0267457585419064,1.148495735851637,1.188917686803361,1.1466378545164015,1.4223263940782815,1.1979799068088897,1.1841828588440362,1.2377264084890156,1.1140874738352566,1.0310580737308015,0.9361826477194919,0.8820700380062851,0.8105542281622814,0.8315065345570307,0.8352673853339675,0.8243249405250201,0.8459084144529467,0.8111931522166566,0.7996851177745095,0.7794893594471436,0.8163911552638609,0.79430416984567,0.8005731613920467,0.913797997521745,1.1044020406255552,1.0461959310912718,1.1131859774642976,1.1081167639732858,1.1599858927276046,1.2374598655746891,1.1597383139920798,1.1319261889762884,1.1110152898032748,1.0623202472801727,1.1171687144134566,0.9822103250517618,0.8874558659208845,0.8608766555485353,0.8885772795024579,0.958659802662498,0.8424969791024861,0.8323891433752588,0.8699679927271629,0.8421912635095467,0.8366350820202165,0.8898227250121507,0.9389172150756685,0.93785565325616,1.091422042989401,1.0489105034740187,1.2902206696498197,1.7626152624915028,1.4732911099616168,1.1036879842218554,1.0065686815162707,1.0652779197341868,0.9883571994334294,1.003331674573532,0.9630690722501063,0.896415332434273,0.8814491359316471,0.906709336547701,0.9729258004555515,0.975931042734723,1.0069048156462446,1.113333180530961,1.1483106119753053,1.1199610402121851,1.0181562664972086,0.9804050579292449,1.0372761888986624,1.020929488090823,0.9756463509790556,1.0442329144350426,0.9823197592628921,1.1365984214405604,0.9865762923551556,1.0809746364995372,1.098784820559649,1.0900311989786045,1.12063909651942,1.1562446384124476,1.1025862548245913,1.0261245988556909,0.8558086127231336,1.0044948773570817,1.2663493454303008,1.1639850461863162,1.3121109838442069,1.1021323726491539,1.0854839280493507,1.0631581657201628,1.1205613034485604,1.2649073077272397,1.2188637593250815,1.2229277743141294,1.231543359871089,1.2109125444302486,1.2677685815691546,1.2898751628580525,1.201668970756985,1.2370488546191012,1.3206435648665613,1.2806769721052014,1.2238454805146362,1.2911437965989327,1.4083336908190172,1.2755258333542847,1.2866998798276195,1.38883423567252,1.3951755387209364,1.2955990611969463,1.3740425730226398,1.35261649828799,1.511542569690369,1.407213427134529,1.3568249153728655,1.4614286950785609,1.5996430307962435,1.8729203754769255,1.8400399458275936,1.8539885486234027,1.5121145470766078,1.5016886761535826,1.5069773321241242,1.5063225494761348,1.5096576338585999,1.3970008546722321,1.4354236643513856,1.4677279383161321,1.5388738523730265,1.3552229782940053,1.3763648669671722,1.5673975123487642,1.405835258478117,1.497994206285746,1.3157355826792172,1.2837697835959636,1.3250892921679225,1.421494103525804,1.4639727182512847,1.57843453037855,1.4828159680441948,1.4539057514815419,1.4990071867724504,1.573466743966456,1.4653846201054181,1.4439769357426269,1.6060594689996526,1.6468898912336776,1.5276393736790124,1.6302255758948692,1.7350785720557627,1.7406824304046542,1.6183109559306657,1.7183616420567913,1.5790207234234646,1.5904875851093805,1.4867321309382597,1.474323908934913,1.532023431337134,1.4089306661003909,1.3819840360042626,1.4252614861795574,1.4152747812143769,1.3248614191008614,1.449892816697361,1.4570749922184196,1.3888934650024238,1.4179483516181632,1.456688418294813,1.6302523222960883,1.4201351974920364,1.3803970936225938,1.5016050243571861,1.4853885342272712,1.637119476253405,1.369323124031369,1.325980730137738,1.3124967986963596,1.38944934218959,1.3573647905184563,1.4169098262709612,1.319550514446316,1.3259780706622382,1.1821956910854734,1.180111903507726,1.1396764231015966,1.1392402503355945,1.1708764281007138,1.2731376071196785,1.5371159986379297,1.1538949103623621,1.216251780298252,1.2907121254072957,1.2336867533087512,1.0834931359776672,1.3158297404347847,2.185234038188603,2.0898357247383736,3.361878165210391,5.213009255467933],[0.6256297055901813,0.650829825911684,0.6737295291489074,0.562636772804138,0.6705809304783391,0.7290265313759209,0.6668389407596442,0.7260533154038741,0.7340577179596043,0.6894381176812627,0.726645586493086,0.8277562400903484,0.7001922878623333,0.6887678096132644,0.7338669931672885,0.7160535389246236,0.6827950514593978,0.6854446744838204,0.7286572499104828,0.691450296203745,0.6918661410930941,0.6594322713785219,0.9578154237633987,0.9639096045763538,1.158065118751174,0.9097586457292506,0.7079659453429511,0.6846353403946921,0.6829796785323947,0.7106087232969154,0.7515764252272557,0.7674229803550479,0.8033116103318402,0.7880688835988264,0.7491176562144545,0.7204523662472927,0.7238234404325042,0.6907770717281713,0.6203923675477276,0.6202240399909339,0.7977605415881442,0.7328594691330936,0.6917738418417653,0.913609584880749,1.087264357161892,1.7972398975435424,1.9385471207636158,1.213033884858312,1.3467629499228406,1.8328076287125445,1.3547152235176048,1.3130373994750828,1.1338353228517315,0.923859106226868,1.2430736227220331,0.7398862939924028,0.8236727267202519,0.8183840305417431,0.9156996284232733,0.9237574924501879,0.8241231424819683,0.9171494245703942,0.8126633314042581,0.7971814072005787,0.7413134372380337,0.7616503322470952,0.8280033056182293,0.7512723000245655,0.8235556666218771,0.8162060702758459,0.9465140191608833,1.1740036684110728,0.9176493906454402,0.9421170823470206,0.7798811746730737,1.016376870186809,0.7555801910225292,0.7812575041228199,0.7637318841776155,0.7569953974612782,0.738698833828058,0.7996363387802455,0.9045511786513255,0.6890897346863755,0.8292663555054036,0.7001723795463498,0.6674768536846595,0.8363678150498697,0.7415607362952493,0.828204081670237,0.7714594454258858,0.8971693352706599,0.8197213074011656,0.768609380084479,0.7544495078379176,0.8163973540943877,0.8049865945857193,0.8092693620399458,0.8120651505863922,1.0033398897020092,0.8254973033963814,0.8612381270200047,0.7766759760909527,0.8258332816211901,0.8253831299750668,0.788458410338959,1.0676620011284497,0.735174043870278,0.7350007618662031,0.8689900911359232,0.7111604056659231,0.7047128549095439,0.6661155827368916,0.6425892080457223,0.6526644963212289,0.6436725080390537,0.7166096639453465,0.6460808964162189,0.7517802142400688,0.71061446929817,0.7082637579644411,0.6835566953463487,0.6682275638506517,0.6408479440834443,0.6240082843790297,0.6391057717627655,0.7744176857344415,0.6767446735267798,0.7329628881134086,0.7142465623768112,0.7804887617235036,0.8559517178188719,0.7645416696619207,0.7420971614757821,0.7301594330304719,0.6929258494563304,0.7713822457440498,0.6946804071217733,0.6374015052586627,0.612287208705854,0.6939940492058124,0.7709793585013416,0.6672684811882634,0.6220691050352654,0.634626670182799,0.6388775454552116,0.6277335152638177,0.6474827146305623,0.6705649852019233,0.7158648134448636,0.7849119468068149,0.8412899944377931,1.2199024986224243,1.672401560864841,1.307100405703673,0.8887182939094,0.7974074190803223,0.7900646456050726,0.7469893203609463,0.7331533473150723,0.6754806542220709,0.6240427208870792,0.61887261376971,0.6344032188135015,0.6809827965364978,0.7494646833204361,0.7169746459277422,0.8609675500772386,0.8858825929494641,0.8631351412390159,0.7029309700580018,0.6696928951546058,0.7110551283521415,0.6853011828992605,0.6619619977805935,0.699304599737806,0.7087156312634454,0.8830006354998748,0.6617805969516091,0.7509581521805992,0.7953347854472371,0.6981860754377538,0.7339489137652114,0.7996442166475416,0.774421910217618,0.7497614344092837,0.6287050054152822,0.7801008771583164,1.2324469357936538,0.9915422360479604,1.1416250407985262,0.8904200241792375,0.8017640420763243,0.7726835746481966,0.74649665486665,0.9188830875181363,0.8670191633809095,0.8250126776308645,0.8260716623314526,0.8727913662859317,0.8131957183382331,0.8297891887567301,0.7938839116695479,0.811179597656407,0.8572665710592352,0.841706192136359,0.83053821561087,0.8621191076470849,0.9605855369586455,0.8650788030099273,0.8800155340205614,0.9850784049171366,1.0071165154672952,0.9073342865125411,1.0120081505669585,0.9995928937354528,1.2415739676253201,1.0957018416818436,0.986067664156975,1.068245162461803,1.2381034609706674,1.6808860509611456,1.5343210707426018,1.6095307135751658,1.0545375174423934,1.0128272707809727,1.0120884107873271,1.0377956763539014,1.0997550732979084,0.94215079471877,0.9876899458390704,1.0531185826779983,1.1889510895542463,0.960881488452843,1.0011331742233351,1.2695007709349917,1.065828286706175,1.2524301643116929,0.9271396383059791,0.868479212720485,0.8556302933920859,0.9128578396293378,0.980219707432188,1.1035567183400352,1.018525405822309,0.9700394278570001,1.012903809249099,1.1471898838605687,1.0333702701309513,0.9733779797120945,1.1848944226779436,1.2868487085821523,1.123880005892101,1.1762593018761611,1.3346132757275841,1.3596960209697626,1.1671275684026312,1.2439656001719281,1.1196420610409805,1.0995196021633564,0.9968829301664431,0.9825161871957776,1.0739126662084884,0.954456492859494,0.9537335715003491,1.0034430857110088,1.0097025686373828,0.9282877031153631,1.0527476184270443,1.1651064150614148,1.0469015749642518,1.0742746773791059,1.1468446564962809,1.356442976199054,1.1302972166440297,1.0906700166684304,1.2573384282348872,1.3008154264881295,1.346159867389551,1.1215704080144633,0.9802024771170597,0.946811242179159,1.136982147606012,1.1156188054444347,1.200190030415025,1.0626632553178004,1.0021667680501587,0.8104960776543491,0.8002520965578619,0.7977932651523447,0.7804409441945531,0.7897098894770165,0.8992009766077009,1.2314385215046384,0.8019038860740824,0.8210480509808862,0.8892032405688769,1.0402982902920896,0.7498085750284598,0.8693891591639772,1.450162549747271,1.3128282683058525,2.4997157916702117,4.004310842507471],[0.9600587055962844,0.9805258024860866,1.0314990161515536,0.8362216779765097,0.9429931139658718,0.952083419106729,0.8548199514739109,0.9096287106180674,0.8520728719477116,0.7940644933520331,0.7895933444426068,0.8907913443204478,0.8125064629260019,0.7651613786548457,0.8119265554964249,0.8205755630495242,0.7567190703254462,0.7381802955722302,0.7143980271648098,0.7234326469959409,0.7473172905993148,0.7681850940697457,0.9403711626759066,0.9450360742920629,1.1204843128040145,0.8729481390582202,0.7374891858979906,0.727540973972717,0.7485154690019808,0.7967676109032967,0.8195894348743481,0.8664612190737789,0.8652854325394103,0.8440370150226469,0.8381284557582441,0.7889794389675766,0.8450335881723158,0.7760790981217087,0.7518905751999087,0.8037759928315018,0.9566380086644773,0.7706822294840153,0.7375381668555854,0.8974770852885645,1.1721425514512398,1.897024707957409,2.061407524844896,1.2651839656178578,1.4109069836487889,1.8235879988657255,1.3360520155445985,1.3623850831928535,1.1581192570620544,0.9724393672479273,1.2710438499960917,0.8516923136641638,0.9250037412087407,0.7932995418754258,0.8595534233092866,1.0444569509808326,0.8822458500632384,0.9700537571459898,0.8529018466787115,0.8102593199242727,0.7855379425117403,0.7992064688825307,0.8817324589405148,0.7689411619026496,0.8261954477072624,0.8585695747979067,0.9826659683553832,1.1560963502152994,0.9640669471817457,0.9661270735069898,0.8336448295963403,1.0204182032640785,0.7895901550199286,0.82801049936848,0.8390215202241943,0.8530708945510541,0.844462519191476,0.9925966125944828,0.9378703239308034,0.8593863121761165,0.9383913097475143,0.8402676550116026,0.7757342010733224,0.9764423354208965,0.8145899766912672,0.9114812505467557,0.8329122570607598,1.0104029428770147,0.882418885734966,0.8302378758641936,0.8263823054858781,0.8629344449713321,0.8559132879358246,0.9038830145039128,0.9074529273056757,1.0565183228847501,0.9407391404222363,0.9669838743740543,0.9373978582561799,0.9753603586554253,0.9647631400033094,0.9621167336167196,1.21553314145981,0.9513776905020891,0.9653447642725513,1.0645619490048122,0.9357753643867682,0.8899371003785216,0.8408875066719486,0.79987289822452,0.7765821772183851,0.7199885969075327,0.7733439151241922,0.6665617171598883,0.7707909575506865,0.7411681327263129,0.7155810446205209,0.730256757079856,0.7041093632401261,0.7143457059320671,0.7622666274834329,0.7686446397518782,0.9019610954709925,0.8178062026524086,0.9051076076329462,0.902250426344515,0.9457631348007475,1.0293259120674685,0.9445917699911127,0.929536197167475,0.887449651126972,0.8734650962060273,0.9125043095128202,0.804957016302644,0.7225322861548469,0.7028753312087153,0.7182849779700339,0.8308910371812865,0.7080061890583405,0.7018994896374064,0.7138319975861717,0.7563981025707824,0.7501651072707067,0.786130429173991,0.8266626732490706,0.8686998278113048,0.9300074145195625,1.023924004422612,1.3829587303125852,1.7172377055889783,1.3104210613983933,1.0111898600708569,0.9329204940459306,0.9446077430733922,0.8977568430700186,0.9079808628005176,0.8253270802837899,0.7859699480714445,0.7506728844328414,0.7715719864650806,0.8006885020224761,0.9054960555145594,0.8501286834758071,0.9669703543479111,0.994829999055207,0.9541240144169298,0.8362558657201825,0.7872905730600727,0.8554694179328708,0.8497899505378688,0.835736453869913,0.8568853225620752,0.8706981702228865,0.9807498795191295,0.8468707193860273,0.9017619215657573,0.9633272966581727,0.8632556541082278,0.8955654379712511,0.95232634321053,0.9194746267834781,0.8816649927617366,0.8314259768890064,0.9372940047028705,1.4246998097432848,1.1228196215960782,1.2651842834663065,1.0803743998803546,1.0261874664284338,1.0370981587171935,0.9498745638385937,1.0774869338044286,1.0124710952209344,1.0165871687850936,1.010591235651865,1.0786919999628564,1.0589507079987936,1.0789378111886085,1.0404181758685416,1.0468715380629379,1.1225649867084924,1.1222981924943354,1.0678758437362492,1.1191442799232822,1.2523548099713007,1.1649596190308953,1.1640364292111685,1.295241253601916,1.348093139852472,1.2217747488904187,1.2936827512459674,1.207958401683991,1.5261824033439764,1.2013045660130406,1.1718121077588886,1.269771633997072,1.3910894630971313,1.7882154015312681,1.6655824204704466,1.769106955045205,1.2750258835908854,1.2358477740578349,1.2365256629531398,1.2323008496737509,1.2770910529456927,1.1832858955036407,1.240326778951064,1.2656467476572593,1.395726875092323,1.196787126709508,1.1624712388858558,1.3926471803864267,1.1579944435288294,1.313791102483859,1.0818398262076694,1.0657313640251027,1.093939937627335,1.1310186611779933,1.1821106833352786,1.3493121043077443,1.2619776321856326,1.2198900960426218,1.2845787676097324,1.4024227949157653,1.2585920825254369,1.2633152545628437,1.4435253207746344,1.5389926775362381,1.405785959287305,1.4432446897424662,1.5932024385291492,1.611554705778374,1.4612916555849358,1.5035451095277295,1.401482957828579,1.3731278005205279,1.27414526796378,1.2479245429248014,1.3125936156681048,1.2095346107219707,1.202799756376277,1.2129612543112243,1.2036062111776742,1.137096402329998,1.2192059295743585,1.3030769432537688,1.1595681247218963,1.1819902331290886,1.2397370067491567,1.3837826523811476,1.1737303979956275,1.1468138483968666,1.2458159183012874,1.2961754034506936,1.336373450824501,1.138407823884268,1.0985432310033547,1.1310521074207764,1.1745107451676726,1.1670121074131992,1.2280949324061607,1.1591685606225695,1.109831730556585,0.9892874563444141,0.9957953113430372,0.9436620959459565,1.0137423733401474,1.054016065999269,1.1376024326961,1.2294652957585404,1.0523977108874394,1.1014238275686048,1.1175689572866234,1.1187888211403174,1.0247799090873912,1.06911729651383,1.4964544065499756,1.5899615129318405,2.89237364493754,4.543409632893661],[0.942020304013356,0.9333189094405805,0.9707628143249741,0.8433695876814833,0.9041405272350116,0.8913600803885063,0.770081967606364,0.8188803049368464,0.7762212703751967,0.7151760948462276,0.7134448853162593,0.824358075527302,0.7217711856375577,0.6899762308932194,0.7451256736955988,0.7447634519657378,0.70563367281561,0.6608946599160123,0.6640880229354432,0.6421829415193318,0.6688316796633696,0.7053524360063829,0.86100797354974,0.8525556525047712,1.0360815368531042,0.7646505447377818,0.654983125403104,0.6185602315577001,0.6864907212785172,0.7307322195114849,0.7390524569785583,0.7835283665009989,0.7582523023113832,0.7619692651886935,0.7521964660747731,0.70961198892285,0.7760676818451868,0.6916244976163548,0.6845634082778258,0.7516730096942243,0.910678740517115,0.700903283844992,0.646185005849485,0.7623163435172158,1.1165710079835895,1.8942880270089741,2.056768709854985,1.1601482972401786,1.3562221239130943,1.8206633472295957,1.303911834329722,1.335392174336682,1.117947948335416,0.9735926312745887,1.3041763035315703,0.8268862036243413,0.8805129418814088,0.7008952700486191,0.7636799703235717,1.0945239190019391,0.83090007371137,0.8660950530050787,0.7474746130431276,0.725283634199978,0.7084024544120897,0.7155955790707843,0.8521174786655916,0.6968737478741547,0.761811387451659,0.8169447002730894,0.9076818207727431,1.070171544911626,0.9051359790860718,0.9345393456079822,0.7703513773859201,1.0241531489447593,0.6867624440849202,0.7329517329000675,0.7341571627398147,0.7648500933693594,0.8135487880174372,1.0099632625089165,0.8377895922688492,0.817229112699909,0.9222285625424519,0.7982072287238678,0.7241711790495049,0.9188818367732992,0.7046063888617704,0.8243183627723495,0.7572117403388855,0.9566591792087266,0.8184591104544487,0.7526139924451508,0.7543383404983866,0.7937164679148504,0.7905201032943591,0.8222855174659047,0.8332332843216661,1.0156623066162,0.8429850190159534,0.9273375182332099,0.8621322073196664,0.9087824313024251,0.9098570651428598,0.8910926098676527,1.086509555156378,0.9195390186265026,0.9345657370858849,0.9949620814097526,0.8719769006101276,0.7934548383834512,0.7571564406511831,0.720298252728081,0.6971229164959946,0.6344045621680032,0.6442507526610789,0.5838582949281482,0.6942942968006129,0.6400939467496961,0.633289406884326,0.6490238658624259,0.6130799013187975,0.6262120162101383,0.6799594748967639,0.6906951985554862,0.8168368531504325,0.7598400918379054,0.8652305328809048,0.8687594832697144,0.9158941815782257,0.9906823398439407,0.940513277753611,0.9053698416153505,0.8907026889102041,0.9158419910679477,0.9031855861806207,0.7786440253768381,0.6626984462080079,0.6335992413308831,0.6638626189928231,0.7963911706601976,0.638489836715179,0.6274787405136683,0.6442539879465965,0.6857723172527732,0.6765522852322828,0.7245630964622217,0.7377949803155127,0.7712266475223841,0.8340543640135895,0.9287710863019556,1.294341764692031,1.6610085982559903,1.3070312004555276,0.9342934622040988,0.8458682646034831,0.8487489087858947,0.8093714191024335,0.8047199473079295,0.7784790714659411,0.7364320174354042,0.6985335837358512,0.7248149474115123,0.7843328033526322,0.8894145661494465,0.8302268717006942,0.9638114920711925,1.0042459673439863,0.947944093544262,0.8231899185292751,0.7672005530339238,0.8533497014939905,0.8289060009534227,0.7897430663658179,0.8039564783533415,0.8098090855132735,0.8658649753242046,0.7978682690785659,0.846393543839731,0.8729052398936737,0.8270536704501761,0.8662806101590922,0.9500683764363043,0.8988001005637322,0.8616110652060759,0.8000436922519081,0.9376606137880358,1.426238078330344,1.1124674244288342,1.2338041178131127,1.1405177302806289,1.0599119154267347,1.0512425541925552,0.9507722597756484,1.0909010839746713,1.0229038095638538,1.0144362863781522,0.9978606509225841,1.0264834091159047,1.0315668100246078,1.0370397760454961,1.0045325076662082,1.0256993028773596,1.0874894371294863,1.0883623330371277,1.056807847436422,1.116400313879715,1.2126609983628747,1.1556600865646884,1.1606241646894824,1.2740648685997675,1.3295481814565215,1.237646411611487,1.308911934782169,1.2041929309191177,1.4762881297604942,1.177620182585918,1.1552087497826937,1.227642068026607,1.3222308859828287,1.7283413140368589,1.5191256721320792,1.6076497072787748,1.2205976340680815,1.144693473300938,1.1448010480539967,1.1686286593398756,1.2540493225311784,1.1314116521910067,1.1877770545657458,1.2318570192861495,1.3783942510868539,1.1789000551063051,1.146540489151044,1.389055367928885,1.1649507872710927,1.3339571468422367,1.0727341297036679,1.0504146240920271,1.0591970094782228,1.0901381127401648,1.1324242038717913,1.2769959705997525,1.1735652357574258,1.1381784150691288,1.2152504144241867,1.3066654215097453,1.164262376256235,1.1958674602937782,1.3434671834341776,1.4355249618550365,1.3341844387774902,1.3520543595634058,1.488056465495419,1.5230239314819463,1.390324879866692,1.4313381719843834,1.3224119817622597,1.300043353306396,1.2156172023598972,1.1866795688749079,1.258200558245179,1.1655383678700795,1.1545971987224677,1.165361746338484,1.1588683364777719,1.0934534049850213,1.1930382149724348,1.2693279314614896,1.144989863798332,1.1735877005192012,1.191261351690966,1.3464427667913244,1.159499458236122,1.1291717101644037,1.201594427818664,1.29861320988277,1.3307636145256863,1.1309852840516674,1.0912409557959386,1.1334001722510174,1.1555630317075671,1.1609137948237225,1.244507216663679,1.1718389508354716,1.118335569184901,0.9550347671150528,0.960939093175516,0.9224781485400482,0.9858658865635588,0.9712040337933843,1.04834610019878,1.0579095976906563,0.9500413603338345,1.0248696723746664,1.0024947625755523,0.9446150560465228,0.9349437534440075,0.9910216337188887,1.445884566409933,1.4457004597750795,2.753844952149083,4.374260324879497],[0.809356485881991,0.8038821445024524,0.8811861369623456,0.6594971639050733,0.6937015264923388,0.6735029456080434,0.5482638337401422,0.5714897528489273,0.5172426299369082,0.45393229280698894,0.45945117131314595,0.5726917557006,0.4557212624477106,0.43718979737187313,0.47730944608471465,0.4577507888816258,0.5074664053363939,0.4725851424410915,0.5915703551449077,0.5168693157023384,0.5087161643198546,0.48161359380459406,0.9258472027353616,0.9048271345208151,1.1306514140475117,0.7689101033508251,0.5506497518632292,0.5044696604001807,0.5089597275542068,0.5177799475895911,0.48699553428091197,0.5460350094540982,0.5347236644903762,0.5434952477871577,0.5377182414835354,0.498119866673627,0.5812650118644499,0.5107777738916288,0.48884429040131167,0.5465329554246676,0.6677278596640448,0.5848147512053308,0.5912163227085552,0.8866316492600969,1.0337161482130417,1.7442054851275226,1.9546631960126997,1.1362712388622629,1.2933738116192548,1.907675164854551,1.403285850592643,1.4699282407935095,1.2055724911656809,0.9621732286684612,1.2664427553899893,0.7744225374078451,0.8272365470145872,0.7968846011514427,0.8555990051629145,0.943320011616676,0.682176991445396,0.6971953181424786,0.5562919741872998,0.6083302338146757,0.5296658132156262,0.5411941477933473,0.6668550548280956,0.5419911395763767,0.6422510769082895,0.6473356868169462,0.784128187626906,0.9716091207558326,0.7405409535870114,0.801217825575212,0.5675802728539978,0.8964136354815624,0.5409332002313177,0.5197212227273985,0.5270611828359515,0.5837130356186357,0.6207711072087093,0.7614533376079854,0.6951532376424342,0.7062186255914262,0.8312126624184509,0.6108740921630131,0.5255182290341356,0.7313459367411742,0.5053439081449767,0.5925906883544557,0.5181580252672254,0.7420914688948216,0.5781598026242808,0.4902919452610029,0.4945226768632726,0.5629648736458092,0.5684054923686692,0.5846570147930061,0.5999763251545249,0.8576275035157113,0.6291963237042906,0.7739288132319816,0.67758763929533,0.7675327860903638,0.7924119262737707,0.7917764597972577,0.9855323202617702,0.9014647807686483,0.8973360551920586,0.8726993587643537,0.7689491414373669,0.6667718733113491,0.5735830351847421,0.5331247594457091,0.4675496452791008,0.4970066061788044,0.5502374206190322,0.5580651961043801,0.6478388588055657,0.5240701584161285,0.5639892785206271,0.5115953658634671,0.546754451039168,0.4618287251803121,0.4441988512501793,0.548650900110271,0.6843678879589473,0.6752646528831306,0.8065235715885439,0.8050794892394572,0.9058055352061543,1.0012340803304534,0.9349363510790644,0.8637514079299454,0.847496027914489,0.836856583511913,0.8609972560010152,0.7115648263944189,0.5991687857923931,0.5690263842254373,0.7023215339438779,0.8355302085555603,0.5797495319558357,0.5338142497079503,0.549320144907846,0.49995583343481476,0.503458398622433,0.5245530338071742,0.5457225187227622,0.5518416570401762,0.6625489266754213,0.6772383791846552,1.0443620457012326,1.4901615367070173,1.2016543266393502,0.7104874348903625,0.6113911039099061,0.6358226785389008,0.5981964852009027,0.6366095403725202,0.6333353347182897,0.5686658034999514,0.6007067230484705,0.6173024017534191,0.705155934907465,0.8150984629874629,0.7972327875635897,0.9602683698551074,0.9787341932401743,0.9109683618990208,0.7820074048596592,0.7178949536762836,0.7865016366504937,0.7439221661485327,0.6729784066369074,0.6527083306526017,0.6098470764398052,0.6833885108871555,0.6430727331499959,0.7153794344070603,0.7708145662484727,0.7425477788605723,0.8315253415340864,0.9264877008450294,0.8442022334628935,0.8012220069999834,0.6563352562474776,0.8513451402037929,1.3403384678650143,1.096942939721485,1.2265480978761876,1.0338652451456771,0.9819009604653113,0.9621201314864277,0.9409314264637549,1.1716944075588869,1.0649284127949676,1.0854906064208047,1.0790629745656088,1.0642103844903688,1.1078729796287807,1.0621850819440495,1.0155187516301463,1.106545374086568,1.1655521208173563,1.1153608298223279,1.1081158399157474,1.2165808251178385,1.287855481413716,1.1982640606815047,1.26431661883373,1.405117482956993,1.3873159137589106,1.3274379085791177,1.4784899421775364,1.3918814517970406,1.6608704855302396,1.3917414878720007,1.3567565906197256,1.4403942238612135,1.5365891340675721,1.9013951043269397,1.6461579494052319,1.7494533351301957,1.3540044849711839,1.2973568567492288,1.2330765713577194,1.3200270722591776,1.405439190240516,1.2736306766481684,1.338504838292476,1.4287548693438823,1.5715036019362472,1.3207967154792832,1.2657142423317085,1.5300991760960905,1.2970048868313924,1.4283663641333064,1.176030043666374,1.1294871744166164,1.1369765911747294,1.1628993577746234,1.1673202533329643,1.3456522758692242,1.1448286426010466,1.1375592481680956,1.2632055966225824,1.2974823067407106,1.1412091412391157,1.2116830612665868,1.3572059023167322,1.4044784911740043,1.3465636414442783,1.4162959082885982,1.5284925875964945,1.5363924498404773,1.4786285741424658,1.53794592743217,1.4522985300392168,1.4288926729389704,1.3078111384862017,1.3340956312333783,1.4405616727119692,1.3116448903940727,1.307136961715233,1.354922716398362,1.3518490637775535,1.2369006881346336,1.3794466079139927,1.476885372990042,1.2987224320303425,1.304941241137911,1.360874971881012,1.4761504737669346,1.2887958522456149,1.2524968008501745,1.3383477089248539,1.4172085846712934,1.4516361296124836,1.2493320990520922,1.19847500007666,1.1610466010302103,1.1964890320333705,1.2150575878722618,1.3406739147954443,1.2357059857620942,1.1985615312500266,0.9790740748655289,0.9809919452285315,0.8573584504248567,0.94512866890132,0.9250183209717885,1.007029740081082,0.951727793488767,0.8508080028447447,0.9725416214966003,0.9267926129904672,0.7387569416655376,0.7651379176034258,0.9294165543354862,1.4747422800923697,1.5575481824412107,3.0385057961021813,4.758519161518948],[0.8766843237260097,0.9297614884723581,1.0547620447670516,0.8184352671068853,0.8364278960974229,0.7701982859522691,0.6417893321551734,0.653220082065419,0.5638912604636378,0.47625957863423124,0.47691955939314995,0.6034670372445461,0.5067300994533147,0.46377737304542993,0.5106450316729819,0.49637018008248984,0.5357677730573106,0.5054700489893552,0.624579198796845,0.5602363730819517,0.54731251003426,0.5138645268628023,0.9956816626278104,0.9349976067740947,1.1987642477283316,0.8064908342779386,0.6239159996448108,0.5695137061921772,0.5705167199923465,0.5908826417594599,0.508873379683682,0.6001436878291437,0.576038094091578,0.5833380480761755,0.6142454720219765,0.5725207243528228,0.6844971660580019,0.6105977212745343,0.5830614732864119,0.6516371359101742,0.7374454590216075,0.6696963560817165,0.7095261105612709,0.9672982456110906,1.084792669454711,1.7740299633941259,2.033291532418139,1.2144534365308486,1.3631063985580412,2.046301388951535,1.5685894858103258,1.717865754155939,1.4230101768749737,1.1702471675204988,1.4504694634333186,0.9695968237887039,0.975556773329612,0.9197930565269056,0.9596883871756722,1.0969075825937533,0.797407125416659,0.7716207726727881,0.6088097776796587,0.6321334467611435,0.5932315639337169,0.594052155221566,0.7100682453026996,0.5836594201986302,0.6679468204104406,0.6971745601660743,0.8088394172694121,0.9878463046822032,0.7935642050431602,0.8396512281550705,0.5858749022293921,0.9126588488794148,0.624322264137044,0.581744820578582,0.61948425046583,0.6760090858848784,0.7477245953091248,0.9076988798084461,0.8584732833877444,0.9652389538526258,1.0366869626826392,0.7777632288555965,0.6457943097694093,0.8246590467528694,0.5872699616568969,0.6392248668852172,0.5746695474241508,0.7673530135352826,0.5748916257250525,0.49619643440137035,0.49854596039607985,0.5407794852981438,0.5539840223212016,0.6072426055527129,0.6334417928538892,0.9399354502380973,0.7100569190800203,0.931574269867011,0.8142007010702076,0.9364272985477423,0.9910405315075917,1.006550542925254,1.1685214415765826,1.2049941434812508,1.1741957982993123,1.0623514253274817,0.9699474166671378,0.8529331040530238,0.7245386399707876,0.6663409533806257,0.5460218478504759,0.5812668621958164,0.5777768439146386,0.5877832953035815,0.6747551077714836,0.5236263858218456,0.5534707860946156,0.507028519280273,0.5434989935913582,0.4889141348635401,0.49705244448860975,0.6946435691999209,0.8532249750338614,0.9145000321662279,1.0608985665728283,1.0700600417664798,1.1949233556498833,1.3039202921462323,1.2407243626469167,1.14268650126428,1.1208902538455872,1.0839492496531957,1.0866570480388578,0.9115928296595742,0.7030830335941981,0.6733722475425841,0.7166733720584652,0.854381186744698,0.6029847968700834,0.5949710666539177,0.6575982499858268,0.594393019635029,0.6048643364957953,0.6293173440678259,0.695909982622306,0.6715178719217121,0.8325975973070914,0.7088547971397802,1.0089323160330186,1.4775730204493676,1.315753740919729,0.7766319404830889,0.708495448705694,0.7731032670904305,0.7144338653489056,0.8161322799637922,0.8189588860765062,0.7122397197917768,0.7549134963641899,0.8023366526354426,0.8869315230566429,0.9232525884677423,1.007273006908458,1.1317645078215197,1.164662964498888,1.080514763887692,1.0042427896695583,0.9351642016285864,1.0161513061406178,0.9679963600536886,0.8868859270277284,0.8553836578199704,0.7727185237717608,0.8230214879059372,0.8560363067454959,0.92829070207811,0.8740052884225902,0.9869649061693698,1.1042794284459354,1.1982536938869455,1.082116622005116,1.0021330871923355,0.7745384325966449,0.9652435788797338,1.3740654050773167,1.2412272678272602,1.3737965751847083,1.224731016508206,1.202697033521585,1.1907513175153255,1.2182765882069357,1.5068276413702923,1.368905471238997,1.4228536359770152,1.4279520346750336,1.3479481777559505,1.4316248585651181,1.3456233262239723,1.2850005075674986,1.4173975671541317,1.4512996796759543,1.360806244578281,1.3854522102730613,1.5055858934578696,1.4902682096308852,1.3970629750905066,1.4862687838245365,1.5689614829513103,1.4878748503202672,1.4836483063362491,1.6408580408324287,1.6330614163517145,1.7896728541771445,1.7194519884236004,1.6780433483569541,1.7235756605886998,1.8254627498964735,1.9880022370600552,1.902155174555262,1.8304523613918238,1.6476252184508307,1.6245457044243288,1.5384090389054725,1.6639320411451957,1.753239259453392,1.6007428048302386,1.6516160260793638,1.7452124170816603,1.8524972386079355,1.6359511568662872,1.6134145201991352,1.8641581252898836,1.6536222571410621,1.7565954194908078,1.5353534699276576,1.4904143069838116,1.4742727208671218,1.479571657587613,1.4720680334147898,1.6096960999412186,1.366856825564834,1.4032406442025318,1.4957145432604737,1.4498464856987483,1.34500749514467,1.4106876179724832,1.4889454426219044,1.4755802281760708,1.4629938273022705,1.5552816133557856,1.5954903834480632,1.5961776520981237,1.6036048896701918,1.6767453227411229,1.6322291574005523,1.6447700353899277,1.5433135595132772,1.6078485320223599,1.7104380129854524,1.5892973717664267,1.5871424577561486,1.6567813340063748,1.65516885180959,1.5471175736735407,1.6930709861310596,1.7465271831392362,1.6171709357848527,1.6600632033544584,1.694364979937993,1.7800302554393972,1.6248529200274962,1.577449357345845,1.6754874004422415,1.7329529459923114,1.7711545942109943,1.5776451774815277,1.509822051187445,1.3889105346992883,1.432872001738339,1.4684850390916282,1.6395671661087003,1.5224407858832927,1.5188936609090016,1.2697268594718785,1.2743395725328246,1.091526917760214,1.1717531563517052,1.1348177074058132,1.2066216075050666,1.0883964838984235,0.9993019428587341,1.1467132592181821,1.0844094408215017,0.8058553781076073,0.8840374986340954,1.1161434403819963,1.7197717837494917,1.804316328480238,3.3564379269585376,5.201336332784004],[0.6829943280384797,0.7415194036934584,0.8584054360525387,0.7606761742280129,0.7417395793116879,0.6872697972900202,0.6359893562238714,0.6154551360868988,0.5990063298786629,0.5767600666680722,0.5750826090363113,0.6612837635970664,0.5927284761893811,0.5917451941458415,0.6116237239218305,0.5959081969968073,0.6607833206826236,0.6347554332237758,0.717952607435958,0.6526840944287603,0.6393053555217493,0.6431480821689651,0.986487289553121,0.9167388316914432,1.1326287706743345,0.7999238093511302,0.6901015603528761,0.6563007892853612,0.6704525789825556,0.6641831305894248,0.6138336139782312,0.6703473536713522,0.6398162466835032,0.6708474873323249,0.6908225622810202,0.6657754054132033,0.7377633903160058,0.6828690791331455,0.6496968959309978,0.6901977453720456,0.8497088926186797,0.7130833890712897,0.7267190791982994,0.9003284881949205,1.1683075688740296,1.9428214762921068,2.146990672638196,1.1887026166335544,1.3785023041393178,2.029325173582139,1.5342169005979582,1.6765592524503412,1.4070780734059385,1.1998229858120901,1.4672100610239365,1.0011096265902195,0.9969849917648071,0.9090397791361513,0.9571029443606246,1.1553781885231034,0.8713182420451928,0.8631490029578928,0.7015138001254996,0.7071082203004774,0.7089021858187983,0.6818540951439073,0.8083312060274724,0.692259061029303,0.7862217037465316,0.764448918648955,0.9081428032636082,1.0429572788597758,0.8555050563873391,0.926444618717196,0.6805111322575268,0.9889985742620238,0.7055670761400811,0.6748626415363773,0.6923405035794614,0.7584374266014713,0.7955587608015223,0.9300722730861429,0.8619746006669177,0.9607836295622697,1.0474191474963663,0.8003312402932761,0.7013824626267713,0.8699331640839445,0.676502683534795,0.7301788380695432,0.6815680762375773,0.8492729018848159,0.6821867207965451,0.6130165033050847,0.6129488555993321,0.64364745007347,0.6399207620679755,0.6697823212755674,0.6733499636823769,0.9405460517439864,0.7125645338966108,0.8882322641645045,0.7742847941567422,0.854367806790898,0.9077502284584896,0.8974338148602884,1.0608234463667827,1.0623961392693728,1.024722829847303,0.9510012557162049,0.8786039296345578,0.7905858917248721,0.7079899394075967,0.6859037763301052,0.6399342547466457,0.6659571550768614,0.6601931413266249,0.6798559264649502,0.7433437537955356,0.6436481696495611,0.6651044381199135,0.6363709714517671,0.6384327868276817,0.6102994805854994,0.5988203885082442,0.712254449750385,0.8030940751505347,0.8622600398199796,0.9726409058321547,0.9753286072705728,1.0729232826761028,1.1562080532932693,1.1155471888437338,1.025203116773046,1.0449180389050916,1.045631712236843,1.01752051739706,0.9007925425822189,0.7505006436695262,0.7273087174131282,0.7950910761415321,0.9369904702405458,0.7003619039396675,0.6800362784808992,0.7185029578087251,0.6626099392072595,0.6668575948048383,0.6705588762857678,0.6866104619568754,0.6636379624825465,0.766935158544484,0.6427514685070652,0.85513357810012,1.3928273576283812,1.3439254832418142,0.7347489761901216,0.709920794687708,0.7173856637017016,0.7099488624120032,0.7671744039984854,0.8067018037425756,0.7436063439520948,0.7892269767279698,0.8210619492196628,0.8715903805629257,0.9631261341063542,0.9600915809136845,1.0765562458398763,1.1071835844127214,1.0443072293961007,0.9576424382371065,0.9198782171978245,0.9959207963575589,0.9439774710954183,0.8742491176469623,0.8235670076813381,0.7734394516762717,0.7854835300755542,0.841180068786746,0.8788587623745426,0.8178866855206632,0.9167770384476334,1.0137719314910225,1.1159176059943419,1.017211234254566,0.9672288652586639,0.7834119948118454,0.9607423125092284,1.413868692430681,1.2103149396840294,1.3138892793123418,1.1802352084787826,1.1208031001751888,1.075348964965537,1.0616801341939563,1.3424809399707869,1.220019148492004,1.2357974778040766,1.2348251742971583,1.1728018510647615,1.1824999092806712,1.077568685288704,1.052391783570249,1.1547306610033699,1.1355062881162805,1.0626715390882335,1.133772595835554,1.1897616685684356,1.124309414856271,1.0716326303778858,1.142665455810923,1.1754372081393643,1.1084199543220508,1.115304614108449,1.2735249183780957,1.2687574280534837,1.369379212482337,1.3709697268386105,1.3434355567845375,1.3297657955447506,1.4662113974657431,1.62447430815074,1.5859075287288684,1.3322818484283812,1.320989697966234,1.2908873213957663,1.272537501453769,1.353112769515412,1.5062149534507918,1.3087724924231128,1.3090971369345872,1.440548757208347,1.514436696812292,1.3452641146753268,1.442161710951308,1.704096981833072,1.456450011119606,1.6894329643128936,1.3425629972086937,1.31754466238072,1.2142732245416514,1.1906104253578125,1.181194950754197,1.2825967192113377,1.0972160895045118,1.1495178625149074,1.1419412159696125,1.0944401678302214,1.0680947791242978,1.0708715251029375,1.1058849816676557,1.1065826919293493,1.0933417720407583,1.1501648590211109,1.1780440494202022,1.2324200416626347,1.198859940146973,1.2629107673235982,1.2285716993195783,1.245421165995379,1.1663670606787622,1.2116867038986896,1.3040348988302386,1.2179118453811448,1.2108675236172939,1.2973015088268387,1.3032668055508576,1.2294181559346813,1.343026802778584,1.400713108191415,1.3186319726612739,1.3988237596286865,1.4130518227612152,1.5244353374239161,1.398550723338697,1.3541288828472955,1.4899274653851244,1.5926927483647702,1.5528701267622513,1.3577206675116504,1.2554820524004966,1.186941524583043,1.2601027689395936,1.3167644910770238,1.4899341033336388,1.3602608791976263,1.3310019533496795,1.120180350784062,1.1071590423135722,0.9984588673746594,1.013886506163705,0.9415809416157016,0.9489217151407622,0.9936022315566433,0.8587753248004625,0.9009997288649141,0.832191116462343,0.7115524404334795,0.7032483092337168,0.9706011146973608,1.5799988264749485,1.5891113194259998,2.99968019649932,4.765395208505525],[0.6932072833599392,0.7548695907454399,0.8546993768479757,0.7238066247918853,0.6944724468059467,0.6247614161090158,0.5391184780068622,0.5252743084242562,0.46551493964845914,0.39473720942429796,0.3805567844687888,0.5088578524728791,0.4443569743360274,0.39609380889984813,0.4527206253353717,0.44323631884026493,0.49243392262626595,0.46584563725777123,0.5782500944939872,0.5374457054368302,0.5281459469493799,0.5162503388904884,0.9723761624341558,0.9075228282980182,1.1576677547900838,0.7612602660762403,0.6007556165555729,0.5485861551782636,0.524087176159836,0.5221754359930397,0.47204329388080946,0.522780458940729,0.5377921426605154,0.534135639941804,0.557129662492222,0.5202754149422475,0.6155313826844787,0.5901622360840433,0.5555224654237917,0.5932780671363489,0.7040749885852979,0.6509113600044933,0.7199492902096942,0.9871456405363154,1.099856359649805,1.778927526473256,2.0936829922112197,1.2216104007742739,1.340671707777923,2.007888732223698,1.5428842355480026,1.7114146516203042,1.4100306723888056,1.167613379479293,1.4322104791236143,0.9881874863933084,0.9956168322368936,0.9659667542743615,0.9912003161317143,1.1075800000096407,0.7980890828832531,0.736207513232466,0.5683645586762024,0.6010527343860214,0.5758182965753169,0.5523370417368074,0.6353909093558345,0.5228677520270448,0.6107414622729325,0.6330854602781335,0.7388188794272118,0.9273732386479926,0.7093766968050058,0.7893088931521908,0.5269374468612648,0.8641602499402068,0.5964184553414542,0.5467755797231262,0.5723976544287783,0.6590580365156837,0.674120015714997,0.7908834155387773,0.8410924792765813,0.9807727465201374,1.0121771106138908,0.7161865868313809,0.583694731065933,0.7360847128787406,0.5545208668367839,0.5685848127769374,0.5158518365058198,0.7727878239000147,0.5557401951145629,0.45010920265372173,0.43633041788844623,0.5073359922340333,0.5148918669290722,0.5345608148373653,0.5506659483608448,0.8702701083669567,0.6335723406018109,0.8514250487749555,0.6758787099369756,0.783108356241039,0.8811575514020459,0.8684181003586878,1.0432314142163215,1.041108509543223,0.9948115990667284,0.9394899783997825,0.8444482372037478,0.7468147464933969,0.6315746386585236,0.6107323094804046,0.49437683132965826,0.5489938558892098,0.5618471875992614,0.5523440743151702,0.6415567911172051,0.4926719696639305,0.5269497772834784,0.46668807888311403,0.4840277325967378,0.44983463771111015,0.44115221259982446,0.6438807558018347,0.8209109894897415,0.8167402226128726,0.9293337286427583,0.9412915512150749,1.0525683706522677,1.1274971630160415,1.0920315128509568,1.0009683868525576,1.012120044265302,0.9779226294943232,0.9868606497756292,0.8528908438065037,0.6630496752318342,0.632290841566973,0.6725650331075248,0.8637929723567461,0.5918698611704512,0.5768486813999081,0.6283295840919808,0.5568908545571045,0.5680812816765146,0.5756906450831767,0.6086873087261478,0.5833017731778067,0.7114833991251012,0.5416990520143738,0.743352340455403,1.357782403406805,1.3355560839684664,0.6607900705813889,0.6260437975784632,0.6614718520266558,0.6185293935901037,0.7199034929212331,0.7404742183322317,0.6474671607779828,0.7026108446532099,0.7477414856544854,0.803261654579605,0.853864604608894,0.939665001067216,1.0751938676987645,1.1068879940138303,1.015209695599439,0.9408319115806284,0.865260327119959,0.9273466513674359,0.8740418016070807,0.8062032744874144,0.7733829987579258,0.6966469847016838,0.7727523439949229,0.7800963959420291,0.8220858809107342,0.7973633436019764,0.8704355479191809,0.9791201302366566,1.0787640528832392,0.971744755309064,0.9093175356072004,0.7036581534636238,0.9451912351509487,1.3846145810603858,1.1785079350934489,1.3226430125995257,1.123826305536333,1.0924334983463873,1.0563908049162563,1.0515197086331811,1.3833643604743253,1.2293974040726015,1.2200729488713407,1.2045317950662764,1.1412091156057853,1.141971284001832,1.0390251667381911,1.0103438741193078,1.1090969790035325,1.0973131262404763,1.0286480917683132,1.0907862878493073,1.1584100441766503,1.0949867246019527,1.046861101986119,1.12440806922727,1.1663747271700395,1.0909461631421211,1.1118965255568438,1.2817886576553303,1.278974864821711,1.3922237540131688,1.3700133371749659,1.3313611607879625,1.3267771410741065,1.4812153473021006,1.592870692520801,1.5635024319215998,1.3127317115935722,1.2937153098221403,1.2558957350736273,1.2355857561307846,1.3162474589259763,1.4441701307535886,1.2790488809695282,1.2970262167426572,1.4566970631362985,1.522802027607072,1.331966069133366,1.4471782916566798,1.6944652572008694,1.425104644202904,1.6552812536587067,1.2973939973255042,1.2986391966393986,1.1911793122414513,1.1577511187796743,1.1397601381571971,1.236576564845085,1.0617016444203633,1.1021176656232083,1.1190779476937425,1.0551897889235535,1.0280137486275382,1.0373622567971386,1.069967692328845,1.0654220129290863,1.0580950987102968,1.1228479028631189,1.144404196515633,1.2055879777575247,1.1788463655219952,1.2449642324984607,1.2108242378123633,1.227587437778403,1.1416780602072283,1.2008337277982435,1.2929117437763844,1.1920117761807343,1.1877707363968106,1.284635858813776,1.2947422228577414,1.200448775120051,1.3380387464098569,1.4595707773383524,1.2916322495943537,1.3359263477971426,1.4008735238957033,1.4864564008072951,1.3873018289298578,1.3231062937030547,1.5372110427264072,1.5829411334861212,1.5289315485180284,1.326140494084038,1.2156128102743335,1.157854341872222,1.1919524225127687,1.2255711060987886,1.4140579131290008,1.308916169125704,1.2708913141254166,1.0867143194382995,1.078042813281039,0.9585109573883602,0.9744415235301723,0.9036572841181941,0.919574950331084,1.043380847720909,0.861248306170235,0.8860162268342355,0.8190400192315713,0.7982768349851931,0.7135161629154687,0.9699811282052838,1.485437450195027,1.4787850276126748,2.817178986865898,4.506638510989649],[0.6537601771476123,0.6850090749661506,0.8129683518234211,0.6503664983964628,0.6876709440688284,0.5865245646463392,0.5455265802858166,0.5390344812931669,0.49451186381460505,0.4197737863844084,0.40352560776303853,0.529419134298915,0.47360006215952005,0.4124586751002147,0.4698075162080951,0.4624809242938272,0.5029094897177978,0.49031040489536504,0.6009238241369986,0.57759627823861,0.5796427339070065,0.5424515785150908,1.0820279045778578,0.9924004080829838,1.2314381666127012,0.8081702456039969,0.6302712744527282,0.589376600469241,0.5573291934990847,0.5483328162575882,0.49420727322473645,0.552457734307998,0.5634580158452778,0.5704909361517035,0.6034618815998437,0.5659673238261678,0.6585792456122257,0.6368434748669061,0.5930626170652807,0.6389099226255985,0.7043558550509406,0.6897833326701035,0.7760937098152771,1.0496274434330275,1.1118200921208967,1.7672595067261976,2.0974322957256195,1.2557463259502395,1.3552461620070833,2.034571754389855,1.5899560933790338,1.8058606926893248,1.4804469264797546,1.2042917045184924,1.4556182077754294,1.0631156806510746,1.0635549386956773,1.0571537201668428,1.077532585556588,1.139737097908217,0.8323931725396394,0.7915734339821566,0.6336908838852706,0.6255736903035662,0.6158006309873612,0.6077849288967955,0.6481133581174928,0.548270385679931,0.6267115987326508,0.6233757195165074,0.7281502061137076,0.9267474172632778,0.6806404713345433,0.7847346524594231,0.5584773875867739,0.8826543211021538,0.6485285781892853,0.5977233348849842,0.6368024365913062,0.7345988886845635,0.7177825556825598,0.8243687493891809,0.8850845502989323,1.0778187217961779,1.0409708776535986,0.7560001888968859,0.6244073500407973,0.766707111777146,0.6112118360784454,0.6116340916320829,0.5437379267403899,0.7885960547210493,0.588302842636015,0.47165337330338936,0.45570375877235403,0.5165901936869948,0.5502595533159037,0.5569206473563851,0.5736310910415274,0.8522591557255181,0.6597988314958909,0.8405408701816577,0.7088845903703449,0.7957177434239191,0.8951276909063921,0.8891137211953097,1.0416839419356436,1.0569198309192347,0.9905040591959374,0.9488265608663881,0.8546638274441314,0.7764034199069694,0.6519807137819006,0.6242018080931508,0.5131771506039832,0.5596019692381733,0.6064039886453467,0.5730760437764647,0.6567539975006157,0.5296983697280149,0.5473699873747669,0.49286321098927305,0.49704586223741687,0.4695844910441391,0.4499578560576817,0.6447132662904168,0.7864813526979656,0.8146872299727296,0.9306794109879724,0.9425294874427197,1.0716434521984235,1.1350893620930858,1.1064722138095082,1.0109143290633396,1.0253639144743563,0.9761806008131376,0.9998057051903503,0.8626913325423371,0.6856464122010753,0.6617627096174443,0.6829303425046636,0.8846643554299772,0.61930015393682,0.6111671692793017,0.6669780521159239,0.5926968707318966,0.6043010784666175,0.6128988766865001,0.6418182534949993,0.5956735524634624,0.7163667787763193,0.5590025112112034,0.7220119645736934,1.3238677525573448,1.2840054160244996,0.6725828387915171,0.6490192644913791,0.6790386123730299,0.6443492270731246,0.7473105060017581,0.7657983334976509,0.6853252344487544,0.7384904301733156,0.7864082056994299,0.8574110029286973,0.9045436141387224,0.9935692625163319,1.1309641374759642,1.1465773708018903,1.0616705009318916,0.9835464952980304,0.8943717417794284,0.9494700020854614,0.8966865773207573,0.8387029259700467,0.7992881702630441,0.7290846569594127,0.7990893141958849,0.8161845930667494,0.8434165975371594,0.8810165327745075,0.8917487144240978,0.9976027261542436,1.118912183608324,1.0167513429740302,0.9656409872763614,0.7660657219906227,0.997904224273046,1.3855890202669907,1.225151479087621,1.3875582263101487,1.1531921599811499,1.1328163472077313,1.1048423418815516,1.10090280278347,1.4198278085235143,1.2539445207203017,1.2444176285392092,1.1953131446805791,1.1310179688391633,1.0987148797570516,0.9808474942478006,0.9653933653777562,1.0361844215615865,1.0018873148446916,0.9342018599653881,0.9889331236507861,1.0398350175919828,0.9587022661955974,0.9212834538258088,0.9866126187619428,1.024875164799053,0.9437141240244623,0.9640484579008864,1.170254152378106,1.1758710209386871,1.2489813930110232,1.2336045875802522,1.1871154802925898,1.1747147531867135,1.333553243888114,1.4944856950192718,1.455236051699056,1.202418742311919,1.18498697574539,1.1513910002036871,1.1568100061176152,1.2352841032814836,1.323743334487036,1.2016037705886335,1.245701922901165,1.3991881838798383,1.4448261534296316,1.2888784773025639,1.4431351357788618,1.6431616803072862,1.3715878582358765,1.6214751761464066,1.2483013678289963,1.2816877454854745,1.1809210159827621,1.1103243175354602,1.1034650691059473,1.1475541228768937,1.0306104795236177,1.0460938396478097,1.0083363435749044,0.952268570948649,0.9622172649834496,0.929026415318617,0.9342351463094376,0.9315510661311234,0.9209375586254304,0.9721497465288749,0.9896556557996656,1.080074898416753,1.0356432389444268,1.0879345936957743,1.0505757264518154,1.0828476262967694,1.0038817764113606,1.0682759041484449,1.139315172914862,1.0466577944349051,1.0734282511996345,1.15462777004019,1.1695265658730998,1.0966559177283561,1.2399388448068498,1.341345508946608,1.1874285727968004,1.2418948191414532,1.3196593345250704,1.4098216607785183,1.3145058470491446,1.2274582834948615,1.5353229131330834,1.5725167470762962,1.3798081989043067,1.2261414055974378,1.0919537181989856,1.0572035892179705,1.1048331704042795,1.0974414948677873,1.3074064642720642,1.2238203255298485,1.1719127031012504,1.071680736622849,1.0646295757012656,0.9378429289210375,0.9557661026049703,0.8879341869191507,0.8586559091374714,0.9766538497162283,0.8898025769727133,0.8233284586149645,0.7674928856615597,0.8762996400017354,0.6864064680359715,0.9409733219869868,1.2788838029379093,1.4330892118167746,2.5427396342290036,4.102575181375497],[0.617601044722545,0.6842094656847798,0.7993434486788941,0.7118675401341862,0.7060349141433001,0.6101273501566833,0.5570756347824627,0.5335247091167551,0.5088566282198573,0.44192830020571167,0.42336738338985785,0.5398273212426733,0.4891829332349699,0.4407309127330057,0.5080635389572853,0.48868854515048366,0.5388099495695958,0.5225271178024663,0.6477627441113983,0.5945143365650376,0.5853166029503,0.5433944009369323,1.00316458701284,0.9488986553211759,1.2110518424795471,0.8117473040008691,0.6433226539082425,0.6017490040671921,0.573687583339442,0.5573594585379189,0.5218085040305183,0.565155542057983,0.5661257998357452,0.5853885795826305,0.6007845336119366,0.583645252306315,0.6554352822175763,0.6565072381547168,0.5994700298469945,0.6146767392629903,0.6947912339796303,0.6886908106612076,0.7655333887988343,1.0556171664749836,1.1073289693429438,1.7375976044575148,2.0945865836872946,1.260014603077416,1.3826273859562632,2.053297267267647,1.582600912865262,1.773064819403761,1.423620887376863,1.167677753611801,1.4199149127184398,1.004622732743872,1.0184859107194002,1.011290227974685,1.0211709507427935,1.1463173310203403,0.8304268391730455,0.7753991978965669,0.6428814741055565,0.6512814120603003,0.6165518708810286,0.6243487868574328,0.6796417283218725,0.5722028738330203,0.6701111592722835,0.6627989462574119,0.7321537688071039,0.9235223058419441,0.7063371664361164,0.8216426605166655,0.5853017679773347,0.9268487944363567,0.6541887579905465,0.6027123380150788,0.6356665511410439,0.7212545861231036,0.6819792732627787,0.77991416366155,0.8655787578861381,1.0250428487203445,1.0470055277562609,0.7363596885216853,0.6251929393984755,0.7415639832061323,0.6117826527838534,0.6093870430668018,0.5678122522409299,0.8378747752294656,0.6455747002055326,0.516363696271835,0.49687311245632365,0.5701595894897984,0.5885751708096962,0.5656363056126703,0.5842353327742408,0.8479784130948556,0.624528792184707,0.8145045199611354,0.6620810127180865,0.7249068783002074,0.8118363402955228,0.8111720038528858,0.9289609440679166,0.9592351288933544,0.889856467445978,0.8646066823903892,0.7815036092027084,0.7213481777062687,0.638346467530994,0.6203090777623184,0.5325254081268678,0.5881545576621349,0.6159333939042487,0.6026510732051137,0.677245767365132,0.5593104615701295,0.5917051264405256,0.5370459255658371,0.5514936679078726,0.5045101315944703,0.4733563550599709,0.6572690199472336,0.7818032068495299,0.7793069307490461,0.8601166822078306,0.8543652640981846,0.9720369934705182,1.0120859398468967,0.9894611154253355,0.9016187072616084,0.9321705968648862,0.9176829706158256,0.9525037344342141,0.8517398835219134,0.6954056002321903,0.66524353853992,0.7161410244537265,0.9035814173349228,0.6422244527458711,0.6182798217982248,0.6544031680380469,0.5957348285868447,0.6025429701183566,0.5981383593530564,0.6167229963581458,0.5800696160719438,0.6744253494040275,0.5439081105721042,0.6989941903337478,1.3682574693244796,1.3806704443952147,0.6627273041547109,0.6455725968826173,0.6316829612659608,0.624785109140394,0.698134594098818,0.7265168080338771,0.6466501989418637,0.714102587348513,0.7519053415638899,0.8164481871694237,0.8465461099485193,0.9279869561520031,1.0944608900684119,1.0862744440114929,1.0166093708045914,0.9171630180155391,0.8526244191584533,0.8814579501178672,0.8311342047248186,0.7779424902791019,0.7423105015462306,0.6812466347796257,0.7244224022154455,0.7603127663023742,0.751532275250779,0.8462269380079731,0.8115444182073417,0.9098195631410709,1.0166736598707047,0.9389831331658155,0.9053740105131323,0.7417924008800816,0.9789711701275077,1.4042757672294564,1.2006662016443503,1.3866020930165364,1.1662790397033354,1.0754367597499779,1.0353484756422284,1.0057874042985742,1.280002903478832,1.1445212549873633,1.119492887382366,1.0643330592396072,1.0296627301274721,0.9645561125909407,0.8618416366825589,0.8584452687408539,0.9107411988868752,0.8744671402032597,0.839933639840017,0.8979164058210419,0.9289667551459662,0.8545600955557543,0.8485926143858942,0.9106172252166593,0.9399888280008426,0.8896949296428134,0.9224380158166784,1.0910374501982603,1.0993670007767946,1.1724431010263756,1.1205041609717863,1.0526080473525683,1.0534982801863033,1.2127208318934575,1.474375998481299,1.3560599827539521,1.1411288198044993,1.0185447801623948,0.9874843409197964,1.0118354000918968,1.077267681444557,1.1702468058356532,1.0530537562238094,1.0941956493518448,1.2353174557748725,1.2842108638477754,1.1347223540652658,1.325699601040742,1.4961010357412146,1.2358157301831107,1.5481665175851749,1.1005495605313458,1.1677544790419567,1.0390678168621044,0.9784085276233431,0.9858352499974283,1.0142165776411585,0.9380272934436179,0.9350693203697408,0.8845652470938645,0.8630901615237473,0.8755555043191035,0.8283433355231755,0.8524668485924031,0.8834649581265124,0.8465040288727228,0.8744954413340482,0.9235363276240041,1.0270412321265174,0.9436959239583067,0.971566856262913,0.9326032715173068,0.9499964453008827,0.8780211556859444,0.9256298545055474,1.003093311007119,0.9170700975672136,0.9215722451354452,0.9978833734133578,1.026457781940737,0.9533349671164711,1.0817776835215105,1.2063941410167036,1.0591352010783586,1.106540207002583,1.1769122047877165,1.3036453035570401,1.1958388256414056,1.0951217488445915,1.4563820878738143,1.5190794575989752,1.272893213502441,1.1343724431328932,0.9921409235785603,0.9674998022705106,1.0149280825600473,1.0012531945359846,1.1697769397030824,1.054032406937743,1.0390753377299604,0.9625638575594245,0.9578334207636953,0.8864571617964121,0.8750769832136078,0.8009540669618095,0.7649082813128244,1.0358640133973336,0.8329996998253711,0.7546118367166029,0.7137623088117069,0.9165355358875097,0.6738258096115147,0.8888671105454972,1.0801087703216188,1.183517234775832,1.8948491671089522,3.1646766782402755],[0.5801140770119095,0.608389234941127,0.7229066935415487,0.5775385940826032,0.5790568643636786,0.46863161706938056,0.3912611709984871,0.39483740241411286,0.4090330682713734,0.3247022841999658,0.3258696624046871,0.4325757495277418,0.3655339274538541,0.3453238433450324,0.4336589710613854,0.3755637087555234,0.40781536799895907,0.4226987619616398,0.55657401703972,0.49488915508024994,0.5641328584251464,0.5997341522576669,0.9375742360480045,0.9325212357784525,1.110217606367011,0.709381004121067,0.525222177131758,0.47895483727483446,0.4479285903173797,0.39911954530477356,0.4338700831659105,0.415403999951233,0.4401624163467949,0.45480193359909177,0.45764355551523256,0.45507092096766955,0.5147387613281466,0.5697071344294008,0.4903178587998289,0.572953641573815,0.6414584139014016,0.5964328501076448,0.6918929585015183,0.996583912095356,1.1351076782931555,1.7590798551777973,2.18476718307172,1.281214505153376,1.4001868838156248,2.035528792307986,1.5795376249119384,1.770109784813754,1.3911925537664873,1.0727036682442694,1.3038294613229626,1.0041758885545595,1.0077803406507875,0.9320374988177046,0.9408217234478072,1.20742767481674,0.8126759433848324,0.7146619084776726,0.5737495076611631,0.6063673646479905,0.5986007493298446,0.5576575526700712,0.6931757742064629,0.48541067096764473,0.6112907473620084,0.6249528176396917,0.7274971106633799,0.9688908686426513,0.6858100261533064,0.7938559513520256,0.5442906619305747,0.8852970468577764,0.5529089157387888,0.5059956849654338,0.5490963718023479,0.6793730659261397,0.551795663079358,0.7234358598087898,0.7401920065086316,0.9334977435956465,0.8923288510389741,0.5729668648586348,0.5057027599814059,0.6121197715121006,0.49584290251446916,0.4908089647717742,0.47819653823124425,0.8530431426459697,0.6428754393126183,0.4521195182799568,0.4257768074628462,0.5371369034929414,0.5749357085282313,0.4641035749167315,0.4523393669565641,0.6805969772052183,0.47018452382966874,0.6525358509415692,0.4985834554754396,0.5685869541641492,0.667075016668643,0.6849028994565854,0.8026366642954226,0.8298223750966964,0.7552391590971127,0.7434579348585709,0.6451485293457696,0.5581738786684529,0.45765514815373354,0.4277170679377483,0.380442130111209,0.41706281985957727,0.4853736260443485,0.49334869837898565,0.6231291059817453,0.4757516805791538,0.5026288483040863,0.43980033269941926,0.42702537873992524,0.36623187675600366,0.331764183844173,0.4363080765208339,0.6085500958264672,0.5887695565358017,0.692149562368355,0.6904816330940049,0.8367664916127822,0.8892506420624833,0.8652798679272584,0.7519363547199732,0.7714238716961527,0.7351427528126607,0.772749607367769,0.6722325638923258,0.5247315920672442,0.5094070143513827,0.5881470804477322,0.8434861629049517,0.5395750871637706,0.48899008095671515,0.5222159489785475,0.4447779235638644,0.4464413631697022,0.44232515934634814,0.44129782809724555,0.4181200433912034,0.5093062699983072,0.44312332263598414,0.6270091292649981,1.3081156204700035,1.2399853273952919,0.5128047740460357,0.4861672551206492,0.47753779940282287,0.46325340856577135,0.5418982224478948,0.5596221764287667,0.4927660167022127,0.555784614553777,0.6118474992528999,0.729806066034946,0.8118897949438935,0.84594773597419,1.0592958391285616,1.0202369378083134,0.9034916617735631,0.7892931491490338,0.6889109876067386,0.7032247997679021,0.6533462511645345,0.6061310586159131,0.5767040449573863,0.5163130714909443,0.5832725421950249,0.5962873014489904,0.6150700954454594,0.8277323066251333,0.6587365494595135,0.7744671848874999,0.9016139791852861,0.8108358445785764,0.8152937909114677,0.7401160767437086,1.1134628012123657,1.5080945010018,1.2464502635100208,1.4476863438949763,1.152048855233419,1.0599674318287857,1.0190551304357687,1.0050489888152991,1.2861420098651128,1.0691469376919678,1.0583406333510739,0.9611725882993453,0.9390135802921369,0.8654572241259457,0.7505206556699161,0.7385207326764754,0.7947975442095915,0.7724923973344153,0.7277813541182572,0.768065717075482,0.8450320341629406,0.7828328264224883,0.779717976622618,0.866830714709416,0.9232800521237613,0.8558096291057748,0.9080335929864146,1.1269024558116212,1.1152603245066117,1.2041476453561315,1.1523296873244437,1.0486170704451527,1.0612703216619819,1.2098625663455884,1.3938274608333985,1.3687049651455683,1.166059149738333,1.0223352807291228,0.9603486047706072,0.9436870516703678,1.015194329538053,1.1265177557325579,0.9903511537537525,1.026019665857119,1.2081284365917366,1.2226438695444555,1.0648818526079447,1.3259206900640124,1.4810455075870004,1.1944536977115903,1.4258380117990455,0.9948087477625916,1.0762134999357371,0.9578405476576133,0.8870096331361647,0.8969454911218874,0.9292483568936459,0.848728573755787,0.8177586426163339,0.8157395492659175,0.7670468091980298,0.7886894768563895,0.7396078232249083,0.766464560523716,0.7987854022638928,0.7640455900716029,0.8062449926372113,0.8594324441111689,0.983244806353701,0.9121425139172581,0.9537609370414355,0.9195931956928276,0.919210009842451,0.8070145084308655,0.878024294348461,0.9830050818920314,0.8609118229268913,0.8630136975969983,0.9760800238569239,1.0066913532213628,0.8887931274375902,1.0677673640824454,1.2167267977339578,1.0204759130999272,1.0473398344428382,1.2249668937501883,1.3299550025175617,1.2163907513322827,1.0688386078468073,1.5655436921878,1.516583068003049,1.3236412564423523,1.1317055161530891,0.9352767236686542,0.918834325170896,0.9902357993002414,0.8542440644916686,1.038413588299911,0.9106915583743406,0.8898291096155847,0.8226072652094848,0.8302330244351543,0.7016679077409324,0.7665048248740979,0.6930648371800698,0.6601199450185787,0.8970021896126786,0.7678532216007194,0.6695567975254981,0.6196291812430247,0.8757295873132087,0.5776091687289933,0.8324121962539559,1.0216951883194145,1.2302930555395755,2.0253099855186254,3.4313134347506273],[0.5424270524805317,0.565781220659403,0.6508867888559328,0.5365315983404692,0.5409039246868339,0.43784584754971595,0.3562964693204771,0.37073521742529275,0.4343730507104179,0.35869636254526727,0.36932664244693586,0.4352308357892179,0.38557812753876763,0.39085348887962257,0.4864904164602283,0.4123884753747202,0.41023787630388114,0.4490574659051552,0.5790949000086788,0.4990558818733219,0.6038277459414172,0.6928095378143536,0.8340980951143312,0.8832064007932742,1.0147457089807626,0.6659298447284023,0.5134523287451059,0.47437794249384907,0.4509475840833618,0.3861857160666335,0.4729613122251287,0.3964234495104511,0.43545372262328114,0.449353630857301,0.4313740699186752,0.45107125408188464,0.47152326536769473,0.5801680360510101,0.4829343276798965,0.5828116924094088,0.6456099383621364,0.5843055705549679,0.6470139369715291,0.9410743203362331,1.1470177889456292,1.7516391471002726,2.172364044377044,1.2496101119535077,1.3770768416159993,1.97643946422182,1.5076997915713677,1.6629266483138665,1.2777893485946454,0.975747666972107,1.183275438998298,0.932675974173821,0.9417400064414302,0.8226460905310161,0.8410921167225159,1.256021268697289,0.8510683282785424,0.7289955512259197,0.6122584836075963,0.6776878696059258,0.6640843266185888,0.605378687364958,0.7738336226502476,0.5185578072711268,0.6555521354648559,0.6721815143261366,0.7641198523606126,1.017861669552356,0.7318895295050738,0.8375573207018169,0.5861339206701517,0.923986087807831,0.5481756419530875,0.5100047050957768,0.5526368119705908,0.7061407760008896,0.5072727532082582,0.7177304365979482,0.6915654851240685,0.7918167093147359,0.8185833877378644,0.4979139921454135,0.4928109374275745,0.5514600322885992,0.4892606370874895,0.4900117467135802,0.5131195684336839,0.9314970864107034,0.7101232054952817,0.5021051117339328,0.47262383157206844,0.6003870277215158,0.6393742765801931,0.46260456180762294,0.4254874285212441,0.6136979471006403,0.4115142724452558,0.5847349054447284,0.4247233076989693,0.442573731158903,0.5311598119694849,0.5677231447753774,0.656449320465668,0.675507289450145,0.5962115085408508,0.6566738005399491,0.5201800336241077,0.43605900000664843,0.37660620778161125,0.3551689616253148,0.3811770341134325,0.40219254413501765,0.46830138563090123,0.497179956425059,0.6373786119194489,0.4980815325030538,0.5297285730721026,0.47001878599067537,0.44575787392228355,0.38432005516523293,0.35207666980624697,0.35721049398688337,0.5527160616733546,0.4656208948350324,0.5497969053536619,0.5270616220914252,0.662432178468004,0.6993368399768045,0.6867338999213992,0.559625059792759,0.5953413970261977,0.609984298163519,0.6306647583222857,0.5635440148080957,0.4513744203914577,0.4553100988928694,0.5682006953023225,0.8270195337243568,0.5405482877779431,0.47188763763417274,0.4862809625718644,0.4290892808217804,0.4114786317473204,0.4077114700675235,0.3718181629013224,0.3814922802998453,0.40468128011526,0.443604852304456,0.6252263813052862,1.343710828558978,1.2496911309197238,0.4679408106674666,0.4298363221008494,0.39490840728620397,0.398972567579917,0.4327090532687857,0.46746357920092385,0.4277168839393021,0.4895066325091251,0.5377459473896813,0.6632835821061184,0.7772410376759343,0.744185540763696,0.9886803035273358,0.9170897804925511,0.7966925736423628,0.6530326492917172,0.56931670698807,0.5636230384989775,0.519697065115066,0.4801873001840941,0.4512357547969769,0.4253202237037231,0.4875641834833563,0.4911027010361278,0.4772055379498085,0.8065425693665612,0.5179335026277656,0.6279148339183752,0.7425786227110759,0.6776509265972281,0.7292703879238916,0.769143868788328,1.1574258699652322,1.5933014916371078,1.2461789430206913,1.4443776530788606,1.2100721685991067,1.0288768585142853,0.9851040216662434,0.9358481661637169,1.1232651911540275,0.9188022435334453,0.880516925314733,0.7711260852438208,0.798743608811181,0.677449702709641,0.5799197525695454,0.5813953123243282,0.6183293757002385,0.6052795430619446,0.5986187306897324,0.6338967340009176,0.7029790665827914,0.6495158091916363,0.6772183211341803,0.7673522113491715,0.8162183298310718,0.7692690276587694,0.8270989148706105,1.033031356604267,1.0389876064429149,1.1083553857066213,1.038674530937031,0.9104559793828847,0.9252408199023191,1.0767212624402192,1.3697772988676709,1.2619164792512205,1.1238370907757966,0.8376956718228107,0.7509273699782236,0.7597620911760055,0.807202801496347,0.9082519502970064,0.7883208155158847,0.8338750305552937,1.0159813865047587,1.0278297201915272,0.8622198261998334,1.175708219964594,1.306900053082074,1.0290904142055919,1.318215940605501,0.789026680523624,0.8991521134193557,0.7735032111404069,0.7231440045623058,0.7696092822617973,0.7690169532705682,0.7512203746306053,0.6758285448793161,0.6645072644742244,0.6624978612575582,0.6914586094510499,0.6144879342029971,0.6724802735908071,0.7461104239946561,0.6754972339321982,0.6926642145314604,0.7697193592362609,0.8952617211658139,0.8046563593156631,0.8235985464381272,0.7692421941604284,0.7485910473736171,0.6428881473291446,0.6951442272455809,0.8048612992343025,0.7013449398827485,0.6868539924717563,0.7926125093425639,0.8427622289659119,0.7130623661155462,0.8891337321463106,1.08463407518914,0.8877772784181717,0.8894635100898208,1.0768824965212327,1.2290495851443777,1.1076843401270262,0.9512511061940503,1.4808181554127267,1.4675258750185394,1.2311029395257655,1.0555544080400805,0.8386516306629054,0.8288947970322101,0.9359437076303742,0.7594123277323507,0.9120187594128906,0.7226131147435183,0.709169880230346,0.6494143208911906,0.6613677108593792,0.573508516585401,0.6490819536005509,0.5789828731215756,0.5595923472931342,0.9460910966287245,0.7214198541159114,0.6051704125099759,0.5921974219098783,0.9409127938127567,0.5227217080502735,0.7547448913232212,0.8127440792341063,1.2607165525698985,1.4981905821932537,2.6507701382781135],[0.4578407380787289,0.4930502095051347,0.609292080187472,0.4969060163806655,0.5374477963336771,0.42666274384859953,0.346422461527301,0.362079857975805,0.4069203672928549,0.32368493396910136,0.32609647582574197,0.41825828402274556,0.36410734296857017,0.34455381686593767,0.43614238286369633,0.3771211975684198,0.3997618856492573,0.4160447198691888,0.5635877784537865,0.49750070875792646,0.546458212898862,0.5545902596202454,0.9167271706648621,0.8985939716325527,1.115340038844628,0.7223471531165155,0.527194136060668,0.4720754716058655,0.43897788014300504,0.38003069327390493,0.4325452922516665,0.39422888033051356,0.42200553380018807,0.44104084988937636,0.4351422203456908,0.44402316234971545,0.4845670968100461,0.5504919353390988,0.47065760893881053,0.5344554028680634,0.6272041876323181,0.5883858908435164,0.6637394568401986,0.9706976958954139,1.087432631407182,1.7250494170406618,2.0955413050315324,1.220876533519139,1.3501012862747819,1.9975932311846516,1.518125258078427,1.6704791497433098,1.3100845486653487,1.0345230864778296,1.2644433003228368,0.9201066805217532,0.9441646902582495,0.8810003007140996,0.8932122904028433,1.1590853497040035,0.7922263112195912,0.7038399553312001,0.5655684390545549,0.6060432398747018,0.5817836195659815,0.5525649224457753,0.6770269558079196,0.4867413733487703,0.6188644912560544,0.6122746832704468,0.7076855731642605,0.9384856926380551,0.6643157123351107,0.7889700247043052,0.5308574385198185,0.8785407674486364,0.5428606463764545,0.493249574382793,0.5294174388611742,0.6605913396243759,0.523728114656234,0.6956098785592248,0.7161918891177927,0.8369931238476291,0.8730180471431505,0.5437016033754949,0.4885115763340138,0.5765448891510127,0.4853241716173248,0.4829898427614586,0.4779845914686089,0.8563861223693185,0.644790062722014,0.4513949066985879,0.4243675648757984,0.5378661943137641,0.5819329936736118,0.443076903637257,0.4176457522632658,0.6190313288493131,0.4210316948112262,0.606360844672271,0.44604285915861885,0.4696582133298802,0.5624949755224,0.5835301827331763,0.6726476597476502,0.6825767201469447,0.6017122713837907,0.6711804900212808,0.5299544396899891,0.46019425596895547,0.39254082105087007,0.3861185130221016,0.3693544147921872,0.4138822288437454,0.48022958476663996,0.4942451438910435,0.6179448194502342,0.4700504839967025,0.5072767974089591,0.43640097226378133,0.42818191182653065,0.36614619246287444,0.3276295321231703,0.39744157154676485,0.5632560598768737,0.4972598264221742,0.5694171882754484,0.5585348559151927,0.6766404506372261,0.7088207742562767,0.7092346843268515,0.6000813602993094,0.6474710059590058,0.6692290248131246,0.6826166071606732,0.6240057789645431,0.5022853523778144,0.4905000787445936,0.5940453005320805,0.8185048473037418,0.5368868210737949,0.47755460581643583,0.5024108643512653,0.43720894944096383,0.4284928902344202,0.4165727529044296,0.3924377032427772,0.38137935006282725,0.41769390775715853,0.4357862215288756,0.6217621020103408,1.3110783189168427,1.215898650905497,0.4643658801346763,0.4395874191680946,0.40816667614170127,0.41441272260847156,0.4634440949139124,0.5061916185340689,0.45156728911123223,0.5278460528979507,0.5745380441349262,0.6644348764288546,0.7573462132283252,0.7579205490758391,0.9759604486911541,0.9359737047945415,0.8454728216823278,0.6974952438352835,0.632240323769554,0.6318882043905028,0.5775264562169476,0.5350187684215035,0.49654160309807827,0.4660711803161932,0.5214001330808913,0.5334702872574515,0.5167766703243966,0.7702812524711286,0.5545893001680197,0.6596570216629479,0.7755622523785208,0.7127539600316171,0.736146377102806,0.6930143666354552,1.0013187015624732,1.4469294646715345,1.1589675464563842,1.3511929674261514,1.159453084031795,0.9995464592549541,0.9493738187094543,0.8772968998182488,1.0731218244109355,0.9023011407051252,0.8489396472517518,0.736162157908351,0.7776554812678043,0.6331935753060022,0.5515910874262592,0.5593568129519207,0.5717494624744394,0.5534059144349941,0.5646432251143683,0.5890240840426817,0.6375797285953198,0.5908601517710336,0.6286963013908521,0.7125072510502186,0.7541806317913953,0.7197756438619688,0.788271080328461,0.977468454501469,0.9940128850576991,1.051173698832463,0.9336273128701627,0.8023461055923854,0.8166517646662773,0.9625784401564371,1.3635513771720933,1.1874641751381518,1.1391668390175111,0.7531592696202839,0.6705363513110021,0.709747033049558,0.7450161687502241,0.8222408347506216,0.7207048240541034,0.784763159144085,0.9507879624274418,0.9687137213945313,0.8042476471186001,1.1118217811556554,1.2279072553753547,0.9672935947452334,1.3217226406372475,0.7392258607737281,0.8654141673438375,0.7361651189556271,0.6907091609555803,0.7470407457218246,0.7384250345803491,0.7436048577905566,0.6551678946781906,0.6250943350960478,0.6435459238651066,0.6732691094464708,0.5865597314109023,0.6457020591656663,0.7357152595221391,0.6467804814928159,0.6436473065383436,0.732519359426726,0.8521598572775,0.7387218872061092,0.738499611923702,0.681506251413478,0.6594933236729721,0.5827039012035109,0.6182398944424916,0.7003068118576397,0.6205735438630259,0.6167813000040728,0.6916875152773679,0.742435380940647,0.6407755469459047,0.8005226284710303,0.9944578606340967,0.8220224909962631,0.8309477380227599,0.9848072538393706,1.156941624437777,1.034074215128731,0.8785418684336649,1.3632624667595674,1.4108717542913987,1.1177112090520873,0.9816409324232521,0.7800809713264837,0.7821123424521269,0.9176063164233423,0.7157802013539476,0.8501338061606399,0.6857173376730785,0.6609375657424801,0.6239767986449148,0.6415065609055239,0.5779397379008886,0.634078529049794,0.5658216317039184,0.5383044103343613,0.9360147271684208,0.7110542694825535,0.5868622166225103,0.5753021940074767,0.93886376847359,0.4895075281112199,0.6856847287673211,0.6663519750433933,1.2781035401537346,1.3953308613778161,2.363537588489542],[0.48407721766549994,0.4934174341637004,0.6426977324020725,0.46622634476492464,0.5168567179073749,0.4541206532640114,0.39415319959976003,0.4019341443544484,0.4359251665077968,0.36193234417449954,0.36028636229249544,0.4541812577716849,0.4228936030907663,0.38798580565347257,0.4689880251114784,0.4294303774346876,0.45585668170489674,0.49183345727996236,0.6268710183160967,0.5717281778070578,0.6176248067496242,0.6097331757770056,1.0970233661390094,1.0290879844285827,1.2120937117152646,0.7974069678393481,0.6128465315852261,0.5569853654847223,0.524016469182677,0.45781139018600653,0.4828679153808378,0.4597838007123059,0.478302151188093,0.5076547342806157,0.5194257568957154,0.5161612905489005,0.5792014830468216,0.6408621953079932,0.5717113565348289,0.6383932918110051,0.7076201818687067,0.6710108449444133,0.7780689560023653,1.0543777768144593,1.1412420687391083,1.763680133676169,2.161173210877829,1.3051306543097956,1.4062603033548204,2.0643044524140315,1.6206525940073166,1.8338993854353518,1.4734983705690394,1.1610196776435182,1.3851195286786577,1.0983989584859735,1.0918635171644568,1.0236760097421893,1.0406904032703572,1.2222210101279722,0.8760322802943011,0.8028357362601837,0.6501405334694532,0.6516657693858638,0.6536102907579681,0.6192551655306284,0.6814510991716896,0.5499415889355432,0.6446694330145156,0.6397938401382277,0.7422885266030728,0.9537415606299557,0.68623631102366,0.8062104768173632,0.5761933391950201,0.8944534499581488,0.643225632475238,0.5839201449017206,0.6203689504603157,0.7495609076860872,0.629536508155014,0.7950288885409348,0.7927607584672618,1.009150547446549,0.9499123552279034,0.6492585979603954,0.5781735944213036,0.669825053324565,0.5764769456868163,0.5588024186246084,0.5409730657706492,0.863663503916882,0.6624007528262367,0.4913521920339122,0.4705647715072775,0.5612279416311515,0.6125249873455956,0.4851415745153957,0.4563696121637463,0.6299361063904615,0.4856323523404347,0.6498432011409174,0.5282640351744902,0.5628382321030145,0.6616597695128446,0.6772813060307216,0.7672133236464844,0.8055797177285942,0.6923909229621155,0.7120733540196046,0.6117119289776007,0.5518390912746215,0.45008273479852934,0.4445401896529937,0.4251535595413155,0.4803616314893309,0.564017957644953,0.5721766914636184,0.6915874636086975,0.5396799331206164,0.564334887235781,0.486074637436417,0.47486765542301973,0.42114146865186686,0.3706845011014096,0.4375725232514261,0.5908631070174991,0.5605447901471524,0.6604871931773789,0.6577168194070779,0.7928964343250756,0.8393869310495748,0.8359986688721301,0.7278728511491531,0.7669000058299728,0.7351253689566563,0.7441285091759219,0.6977252678342143,0.5791129016573435,0.5787560903103466,0.6647604662539618,0.9069356405038482,0.6160752051561088,0.5710816487342086,0.6068311452917675,0.5217212435556715,0.5162954327251554,0.4876444696403885,0.4735080785266854,0.4453610903618892,0.4769445867615407,0.45106028452088526,0.5923376987906516,1.2253607796971338,1.139445194322408,0.4965190562665299,0.49484424511647956,0.4772456215209156,0.49400202175125824,0.560139670733647,0.5904994125570097,0.5468680986398342,0.6261473053604024,0.6842906457021146,0.7750348831646569,0.8463327367986069,0.8870893879105929,1.0850885017172593,1.0389560514442917,0.9435391814202776,0.8204492661848772,0.7403311153850374,0.7503418268612809,0.699349760294813,0.6574061732534981,0.6021851603861016,0.5598817589893619,0.6181607552575829,0.6542466708085051,0.6361121616149136,0.8426330280813984,0.6725171677773507,0.7879459213254194,0.9219200847102833,0.8412497101192858,0.868074746573436,0.7864879114701032,1.1245232785223533,1.481445098551318,1.2584939280250775,1.4521564850810915,1.187978836673475,1.0807669362621017,1.033543923483638,1.0029143057739172,1.2441934024884322,1.0283565128299743,0.991903309046561,0.8510748282652261,0.8732951419808431,0.7343856750942082,0.6392207055233182,0.6394309879703318,0.6227648288809534,0.5960390332826733,0.5995881691607355,0.5948561594171876,0.6360284979941334,0.6058894410790641,0.6522302707329036,0.7295822359821005,0.7804063185801506,0.7369586723882252,0.8259808628157463,1.0435190484712462,1.0431786882636744,1.0785241500184783,0.9697548668462149,0.8211330624719859,0.8330306356017406,0.9781876740383482,1.284616067014946,1.2265672491983652,1.1029820349155979,0.8083137169599859,0.7405213365575632,0.7693355765137572,0.8286349856498249,0.901286246322304,0.7994010260914464,0.86733881386123,1.0376692685609985,1.0178565016419296,0.8964263473815316,1.2356366106319043,1.3283272436108897,1.041599188883912,1.348927503638856,0.8333026200645338,0.9977056658180007,0.8512745686933567,0.7592618587115615,0.8240753094753934,0.8007427421447055,0.8052487745102512,0.7210845114433495,0.6874053145039609,0.6770827740713784,0.7353861925489517,0.6130813117484665,0.6378839671559089,0.7122869075151917,0.6417315477487651,0.6415480053010092,0.7130764809582759,0.8484698347626646,0.746675577143956,0.7533105140667736,0.7110122136389181,0.6904418945788788,0.6084305271037819,0.6652887600955353,0.7210743825937758,0.6350117980041908,0.6484515826154069,0.7201951713283101,0.7648162275324968,0.6643496476091978,0.8406545516661081,1.0167579624347278,0.8155705390080484,0.8458215792028577,1.0471182183389438,1.181371560436663,1.0591814000472506,0.8717061616191493,1.4461472132949629,1.4079510212718462,1.1284136158132758,1.0143775533916797,0.7869743992640982,0.8260263150260025,0.9883151389282393,0.6953650426527664,0.7919303223592663,0.6551462097394599,0.6529769521225067,0.6854777018970444,0.7351508586145998,0.6270450061159735,0.6962583121406015,0.629929086649857,0.5680984770115458,0.8505995460565461,0.776391199046056,0.6221811286389458,0.585883418432811,0.940881704734386,0.5304252205782127,0.7143459495270499,0.7054191265609877,1.203731611108465,1.6836188806322614,2.8727710560585478],[0.4827722922120325,0.4965375567382384,0.6277871305533417,0.4692437744575293,0.5334892637511686,0.43964497783629314,0.38833424173040415,0.4121979698026873,0.45296439750515655,0.3901208958762611,0.3887532271543459,0.45677852664285146,0.4354486290941415,0.4163099386150199,0.5041563978321181,0.44850303155381044,0.43735693870358777,0.4910310817578917,0.6055087741894816,0.5617821203159575,0.6576823376028167,0.7420293953363105,0.9810431514800612,0.9968712551096939,1.1028663631627313,0.7340012771558393,0.5634947829479835,0.5245030562235626,0.501127099650361,0.4302485371391672,0.5053350468809719,0.43752511458547505,0.46273164243702924,0.49539203055202474,0.48696573809121985,0.5034607123487025,0.5343207883188381,0.6452831757595285,0.5541324379531046,0.6865627374926947,0.6972534111685739,0.656576379927544,0.7529088380330626,1.0363965776680941,1.2144734717529304,1.7819735518416138,2.2408627239859342,1.3420630114614467,1.4498599182132201,2.0347014037731754,1.6103824437347034,1.7862587895622937,1.395948473065277,1.0487757743036783,1.2541209332652656,1.0838364083960992,1.0799917292274763,0.9379517714601793,0.9623135357101471,1.327756549671746,0.9308768285111058,0.8173698827200538,0.6776485675761921,0.7177880669580272,0.732117140300779,0.6510509079936875,0.7823916009686793,0.5580742599037244,0.6487051224209687,0.6771924921166027,0.7743196375351447,1.0317669335825714,0.709615571777865,0.8089551140203424,0.6075639318024257,0.9262112518721285,0.6138427329502404,0.5768746295007204,0.6298848887208477,0.7886895921962773,0.5736779132618155,0.7949280420664009,0.7092546020007654,0.9032814523819431,0.8369619869751185,0.5576285707693852,0.5531801636788413,0.609722594692508,0.5564468086368034,0.5481686899619647,0.555706508244294,0.9486459026111481,0.7284514288792223,0.528120950836075,0.5001556265761988,0.6059059482795695,0.6604991188748821,0.48474957819382763,0.4412032212859968,0.5523405621702965,0.4445902923507501,0.5723100646844331,0.4982618217940649,0.5106309865052419,0.6000938216964901,0.6500473561340632,0.7129533087805408,0.739276971681797,0.643596158011206,0.6719213021630432,0.5740077589933309,0.49452858819325607,0.4063153338365094,0.38567285108026067,0.4304141463678889,0.4381986249193008,0.5135706587127798,0.5351639446628781,0.6675268641773613,0.5402789723641184,0.558337833183488,0.4912798124675773,0.4703441217934108,0.4288486138963342,0.3974402986419682,0.3644649537183778,0.5858973313990582,0.4952459239181348,0.5940104939914804,0.5646279792153562,0.7048091053665814,0.7466331510754194,0.7293503026422006,0.6122534274119433,0.6292114423515225,0.5950796224345241,0.6256017034057773,0.5645727898423334,0.4587002531002316,0.48787238050341053,0.5931782914690398,0.8746308087528408,0.5913312053179921,0.5219570795306393,0.548638434506411,0.47300499650492545,0.4600708385631181,0.45528922047197173,0.4343761165242252,0.436499450152064,0.4201226336236185,0.4907524158587862,0.6183991099559216,1.2574844628759945,1.1241031803586252,0.45625069083967457,0.44689496283551283,0.43621289955311326,0.4645752169897418,0.5040171781794262,0.5143699065333263,0.4890568680882364,0.541313517247341,0.6067860700591946,0.7601302310321154,0.8516635729099783,0.8145007349129708,1.0542785523261111,0.9651704882186903,0.8123292749202187,0.6937665314181355,0.6055477732801956,0.6057149315318255,0.5733845386568545,0.5457048081076293,0.5142799668819784,0.49336108872296003,0.5506805585662267,0.5626729241118962,0.5565203067927948,0.8888623371600062,0.5888704686750336,0.6980747358017779,0.8137238135745977,0.7448077748190524,0.819824830048352,0.8614752650863544,1.3287724451422631,1.6575530713102211,1.350613952263663,1.5477459458663267,1.2549438764219074,1.0975616693353167,1.041131445366451,1.0551072366430028,1.2298091511258278,0.9688204640961025,0.9408852250157534,0.7911650384172377,0.8410352790184032,0.6978904581672983,0.6127302376867546,0.6118651732549493,0.591555035860445,0.578374829891313,0.5855396602335582,0.5824117896245684,0.6324342873878508,0.5998354987202168,0.6486860491769829,0.7332805740870643,0.7839968364204651,0.7358529423198884,0.8202833279033928,1.0445055816767073,1.0459453700166927,1.0894325048541043,1.0046210772699926,0.8435686788614828,0.8586829617985995,1.0042568786357835,1.293489568463941,1.2560480131974883,1.1199079083605232,0.8245099847529698,0.7413241862902155,0.7447463242861395,0.8078854638246228,0.885999031540549,0.782892866787091,0.8327184587633109,1.0182070400795002,0.9762509860819442,0.861624700817034,1.2570771500961024,1.3230950594374526,1.0326714732536162,1.2814038064275246,0.778659415100739,0.9405126481832461,0.8125790902313004,0.7340886567863318,0.8167013376045478,0.7787983822867475,0.8094841133935976,0.6967849339626087,0.6819080453159074,0.670128458746907,0.7322195774888963,0.6051075127659751,0.6338309816685423,0.7181004326965803,0.6388685796787673,0.6344355112642844,0.7089744326051101,0.8459985426842404,0.745151479485671,0.7554763374013586,0.7140611617405306,0.689524731760225,0.5987609031469849,0.6644928304386056,0.7260995232651382,0.6357933176366696,0.6422154043783682,0.7300385404473018,0.7807465027155374,0.6611384797457193,0.8555011833051748,1.0478807487847535,0.8289542532585282,0.8414304875019413,1.0940663506652566,1.2147679109326033,1.0917088071967733,0.8937603082516323,1.5237516283402224,1.422479914414571,1.169987604625823,1.0364101033235145,0.8024671660971607,0.8289790925012165,0.9917628462479601,0.7130995961499932,0.7904622665302259,0.6130089532763633,0.6159649385743085,0.6356892820106289,0.684446950733963,0.5690879754729146,0.6721580548262948,0.610467719175212,0.5539395519871977,0.8771821395177682,0.7827060867896877,0.6185576160931754,0.5949676703475648,0.9871655830516288,0.5214365172553083,0.7077203866432044,0.6785611645748477,1.2662827563315258,1.5628371952052074,2.7555170321176194],[0.48849465477825843,0.5236683758914593,0.6847587810273155,0.5283445506865729,0.6336424001669593,0.5371744645282309,0.48571725190451986,0.5149073480357583,0.5324000580373067,0.4585304539849904,0.44438134657838635,0.5087028789900748,0.48623192725723735,0.45199165183329565,0.5309171524958239,0.4838499922314172,0.45656680966205243,0.4997485907974273,0.6015313754542229,0.5512512296805222,0.6290029362288163,0.6980201198072881,0.9576031274150186,0.953187503546356,1.0912249430718168,0.7257050157146213,0.5560454580802148,0.5266206333214658,0.5152886856334619,0.46262336334515014,0.5243928911255591,0.47353434030780234,0.4974313412267197,0.5128269139780728,0.5074707907872297,0.5168201052855459,0.5565825239726383,0.6514188283155044,0.5511316255551121,0.6726979578991381,0.6843918042188168,0.6397206165338855,0.7175102404342752,1.0003676855614416,1.1615407897489045,1.7502458140190729,2.1786847639625577,1.282340511249114,1.3955864618437444,1.989942088933359,1.5438049655064985,1.6992597064401802,1.3142778500684988,1.007882137933393,1.206114612793576,1.00911943975514,1.0195551619783485,0.8902913677249449,0.9095825324210308,1.2932359676745886,0.9008878801250911,0.7962560918282363,0.6612002173396975,0.6867741920085205,0.6958845080317575,0.636025107578748,0.7615645088638345,0.551045630613449,0.6432016926036367,0.6785820552555389,0.7709138272361865,1.021772788990211,0.7100626634113995,0.8090230245261382,0.6060133516986446,0.9231755962998611,0.6054280732792456,0.5737324555922925,0.6259891489057123,0.7766300239441413,0.5696453866734302,0.7878033412173917,0.7132048925983182,0.8278233823554533,0.8094925139825385,0.5514997015049069,0.5537996545385108,0.6155371885717625,0.5553591325821825,0.5575692217648685,0.5619055893690555,0.945082114026892,0.7331190052511678,0.547842143429306,0.5276632677042461,0.6293893468596913,0.6974146797879197,0.5223613604488523,0.481752137830362,0.552475300066222,0.48147591612428414,0.5897812168872273,0.542519902360898,0.5514399369413558,0.6135335832765609,0.6872007055336364,0.7242986220001029,0.7193859357648253,0.652127586541264,0.7200616068530001,0.6114209118304134,0.535332873958037,0.4680952405071156,0.4389116823652594,0.477352553546806,0.46220268178567353,0.5201245722705974,0.5345479335070015,0.6624350917406174,0.5424207916935408,0.5662824378150874,0.5019854563869436,0.48082984733961026,0.47402920204064963,0.4851459154040955,0.4258958254560751,0.6701904871063898,0.5425054326739586,0.6256229506059169,0.5563308165533483,0.6834853414453803,0.7011058128285538,0.6778485740857128,0.573082343505329,0.5900766908658396,0.5823927631275768,0.6175676535901187,0.5649720685145448,0.4719419355075268,0.49710444250706476,0.5958078601975912,0.8618273487753249,0.581447202826595,0.522768230201444,0.5430709192847454,0.4900704968098732,0.47983031002698406,0.49531272381464825,0.4858456811563257,0.5147494004352811,0.480396425454482,0.6043642315357417,0.7102276755564046,1.2985201823487067,1.1195737147448972,0.5047123771524339,0.48957666792787646,0.4993461053181033,0.5152110553225239,0.5356380469425064,0.5448409320904721,0.5082301805167387,0.5450528957552394,0.5996584151857655,0.7426765508229745,0.8367493391999071,0.7815781786490505,1.0152337029137146,0.9309785895942903,0.7892964709518762,0.6582739881828547,0.5850644929470399,0.5767574696400276,0.5555987140810627,0.5380227062197376,0.5257783534246362,0.513969702238844,0.5725550621053628,0.5543926094411689,0.5490984002076725,0.9197390941865765,0.5887301331090872,0.6765112305803963,0.7487765658420771,0.7070896632432295,0.7819002736115733,0.8535322363549201,1.2617633814968376,1.6351494618836193,1.302039385614386,1.497263107840155,1.2867661453113401,1.071106760743142,1.0406266299157456,1.0282384834088298,1.107654413001082,0.9111325816636479,0.8715161654216921,0.7267657809017528,0.8547467436525297,0.6779193012271172,0.6463649141913514,0.6540594476527738,0.5981874961317943,0.6049093552007863,0.6416444134976949,0.6180111475950412,0.6447714895526401,0.633110759668745,0.6869951803525993,0.7615516059937082,0.7901691755033982,0.7495984055655048,0.8457750602308434,1.0238438608458866,1.0504545275357964,1.0650371948501125,0.9397592599299364,0.781940527583959,0.7881491454214666,0.8956502800657482,1.3133778761500077,1.208098999036044,1.2582812941357304,0.8008907176980129,0.677018937356699,0.7177074899485881,0.7225073675763891,0.7592321971237389,0.6995026495901324,0.7819576301426858,0.9311753849413398,0.8777792855672062,0.7653439408495457,1.1651432606778387,1.177002490771629,0.9511554473418115,1.2298389650748909,0.6794222374559379,0.8762716480603219,0.7719861050857729,0.7468656162479271,0.848591180924459,0.7976970095550522,0.8833271957985923,0.7378139512951492,0.7194370628167615,0.7534162294696237,0.8014840140296876,0.680003881787117,0.7195678622467023,0.8190844303523034,0.7114652574009024,0.6873704161736969,0.7647597777270142,0.8581675866437808,0.7470771386300369,0.7299022097603028,0.6958334537439714,0.6554933144526164,0.6159451085717772,0.6505986297680161,0.6625003087860734,0.6265417321725233,0.6254592657893007,0.6647870943584551,0.7124814697065018,0.6270498076123473,0.7819021679742908,0.9817777014611496,0.8133239448417351,0.7966920257107774,1.037645939385596,1.191766247152404,1.0642405580966396,0.8655893138879923,1.4293893244469398,1.3910978436725518,1.1018049460294537,1.0127265636244893,0.8202949203898213,0.8606329754590485,1.0545587089529638,0.7597581118849761,0.7744891934870785,0.6237641876007229,0.5839833041654957,0.6174468052998358,0.6804763548424403,0.5963861363727707,0.7108586194420383,0.6711389124829062,0.6423273245747615,0.9981942725160573,0.8613366827997504,0.7146398796659715,0.7163706108253924,1.112423202598034,0.581534095274104,0.6884467442721575,0.6241600190076875,1.52616809750565,1.4317051763652746,2.2529912767606746],[0.6649207142289455,0.6483241070048764,0.7552315304903563,0.5706437328950172,0.6050280342550923,0.5995667911668963,0.5436306368494401,0.5482322887703985,0.5567404649487363,0.5300796174562952,0.5343505113699653,0.581730906585033,0.6063880251800167,0.5691500266040057,0.6520551019987266,0.6189136985602247,0.6654684090705495,0.7308416871082444,0.8675173250443277,0.821275046319975,0.8702479338462453,0.7914305301804393,1.4434065296775924,1.312098274665589,1.4763016732876615,1.0627217452717623,0.8852750080700632,0.79923221959694,0.7505200268943664,0.663067917374215,0.6824031596849381,0.6530623681143897,0.655275497345306,0.726045665050019,0.7357567342906286,0.740445161606198,0.7699419297485643,0.8144861175283957,0.790663129609005,0.8096673354394733,0.9081862831413975,0.9034492776462143,1.0085310201900564,1.2285093768870137,1.2337559837812075,1.8029251365937986,2.1632324637420153,1.4025684363381468,1.4811477487815643,2.1624710832817517,1.722910474974049,1.9513105373085557,1.6496996624408113,1.3506898699113887,1.5597963228450904,1.2815524657796284,1.2887789947534196,1.2467337386158668,1.257414152999955,1.3206047359137232,1.05817740746897,1.0252412716813446,0.8973761576660334,0.9031558997798422,0.8822170371616399,0.8644797520512804,0.8576630739358657,0.8043923709633269,0.8688931274721264,0.8309589897505318,0.8907089275075685,1.0373448224871356,0.8549992546468126,0.9883811712743709,0.7994675947080241,1.0740212726524803,0.9025259374163709,0.8336493883000021,0.8402919829568389,0.936444520389081,0.857787948273558,0.9865269938818487,0.9493701967024428,1.1847466541943132,1.11233684919645,0.8454401515299814,0.8045319150519589,0.8747380842686613,0.8010972875148653,0.7741879835332296,0.7650794678196451,0.9835290556526634,0.816351762785549,0.6883355049215009,0.6556381886460224,0.6966906315276562,0.7599950414549588,0.6442316487247315,0.6132387048456653,0.6879294969559,0.625776798715575,0.7418856441458755,0.663134814972415,0.6543682684746712,0.7392104033333454,0.7588596097043298,0.7900225387092153,0.796637495161789,0.7077972145684851,0.7430649920896556,0.6876979587320212,0.6313001975738324,0.5547216421267543,0.5782078448017016,0.6096413964452061,0.6977894369249635,0.8041828753338734,0.832070576734258,0.9503235561750712,0.7783076101904182,0.801252067833721,0.6940513872476798,0.6898718353010178,0.599522265137207,0.5317039603628826,0.5620748680127609,0.6976320672440605,0.6100847446300668,0.689884161158101,0.682284611389447,0.753786727515,0.7789083234698033,0.8086792257391643,0.7275606536577793,0.777685924021902,0.7769627349128571,0.7358147423835324,0.7842591493130823,0.7692791424353818,0.7857381229218557,0.9256086345229029,1.1125372809972145,0.8665960340099267,0.8155801503918826,0.8434352412027335,0.743652113731335,0.7287796210337291,0.6588953801902124,0.6168680602658886,0.5791481133328599,0.5666673751474899,0.5892148928710076,0.6671795346942736,1.2151973370562128,1.0624915772971897,0.5931962179068346,0.6055624893154925,0.598123837592007,0.6360614593322207,0.6564125491621434,0.7142009839877621,0.7249620557137847,0.8220464053063182,0.8583913685609526,0.9084329182756157,0.9966109218491327,0.9811729901630347,1.1452846293454395,1.0747924853358868,1.0381212341452368,0.8949434601103009,0.8569884219310617,0.8645676092448671,0.8168023260503396,0.7944198491999932,0.7173264644992579,0.7087631876441434,0.7352431759845235,0.792561935355353,0.7348753647640691,0.9090980574076052,0.7472011546014765,0.8396726763405599,0.9661024212034939,0.9155645766397033,0.9966562719335001,0.9160553023034198,1.1620602514076719,1.4696025498062264,1.3233543310993165,1.4806103785866376,1.2811962742642928,1.1394029048921552,1.0749465727283225,1.0087553869234576,1.1673277369549466,0.9493901731195473,0.9068877192694936,0.7520329531582456,0.8741400248083186,0.7105496842410551,0.6923504518228094,0.6994892060559993,0.6413998745995135,0.6552530375830566,0.7054704316587584,0.6948570342175939,0.7263695292193997,0.7187367062130955,0.7976540298547774,0.901169832489189,0.9249015022869902,0.8696802883741733,1.0023860542654408,1.1985443831021267,1.226529564080065,1.1842584587519887,1.0816289588068004,0.886268628627057,0.890629184099137,0.9521269006812682,1.36894715912675,1.28326968068519,1.3417570749333747,0.860613646614374,0.7119873247372739,0.7303557254478378,0.738068723410177,0.7764296478693461,0.7193819583993079,0.7921600823635228,0.9453341460369802,0.8811405790556612,0.7722250904751067,1.1550211531105468,1.1576856667221138,0.9538873926044447,1.2384509962529915,0.6928068177481843,0.9142893136531449,0.7936781978347507,0.7547334262679931,0.8674401777701294,0.8338701500476443,0.8984605726857887,0.7602123895478083,0.7631562783660504,0.7803301361832816,0.8302676282494812,0.7225386106496632,0.7456945997991085,0.8342242998361895,0.7613068650227862,0.7545670894945344,0.8170677403608243,0.9191089128845746,0.8409730242287985,0.8220133364232619,0.7971490812976327,0.731090622131218,0.6782404803260992,0.7189853630466972,0.7361321928031362,0.7086727010153001,0.6800681123257162,0.7339593370523078,0.7859479782992771,0.6828901202685845,0.8257497527354777,1.0451082389012245,0.8972410598913885,0.8348720404701162,1.093971350186346,1.2845015837357576,1.1570535020088604,0.9795867062922483,1.4896696308714363,1.4608208346465317,1.2266088072083676,1.1907452430922894,0.9850330040549756,1.0332822036794609,1.307656905854644,0.9635327992311826,0.9116131793898617,0.7056918606856015,0.6320947425600719,0.6580043989034482,0.721753941824236,0.6500526567776715,0.7671178313262066,0.7213033962954416,0.6616829558219836,0.9441772886180596,0.9170176307386444,0.761467100755562,0.738970002045994,1.0907394732617675,0.6565776346285062,0.7996244720793938,0.7083998659744151,1.4209444086156036,1.4866474507281844,2.359282535819096],[0.5895096861274655,0.5878572422308609,0.719720881899392,0.534858397680175,0.5984526931067787,0.5531692581745745,0.4901012391258481,0.503549693401222,0.5053246772763779,0.43854591725172093,0.43011447345426596,0.5004054182811385,0.48591233815071533,0.4408813538774005,0.5269269001183119,0.4829382674022495,0.4714353834881426,0.5352788124104041,0.6710178861948205,0.6192712346054248,0.6971295815965783,0.7080361004416701,1.2040105065082989,1.1417327064181155,1.250628173503105,0.833159911238262,0.6470214147709534,0.5912829896622533,0.5563522676807365,0.49541945658500164,0.5302863077347101,0.49867459637993095,0.5182037785814758,0.5527225632741625,0.5627030758057565,0.5613081916942411,0.6095245403195257,0.7072902023123676,0.6185894931596331,0.7305789518585086,0.756839094961844,0.7246832514941254,0.8506133124563561,1.1155597939162254,1.2334963302879136,1.7964576705587703,2.2452626975435566,1.399260382584019,1.4838650623173952,2.084111654205226,1.6779377602448067,1.896389024089788,1.5296678211654484,1.1689635543879715,1.3978053274641558,1.2170349982337547,1.2032883557383451,1.0905945072922072,1.113240583536835,1.3314083174382076,0.9628773279909496,0.8737651929634509,0.7314529640328131,0.7410495115473635,0.7483818402657915,0.6880110381018351,0.7445683707803022,0.5985638986577453,0.6737301946036448,0.6786269164445797,0.7784414467512186,1.014558785257365,0.7078511564016255,0.829552838144429,0.6210619440273617,0.9197057635628602,0.70394016919889,0.6544924749122106,0.6998638406531961,0.8449680329187593,0.6647320107509718,0.8567470606790796,0.7982647478074002,1.0347497677887616,0.9086026575392614,0.6494997584919102,0.6271397856027715,0.6973932515752445,0.630461409467092,0.6156346862777587,0.6012571185519551,0.9241334924061302,0.7194647825830662,0.5543734086226069,0.5322009412387995,0.6070213375809537,0.6936151401591837,0.5272961824220619,0.49345200058632666,0.564904824723783,0.5059608086215889,0.6276716031126574,0.5614756025859038,0.591752521977542,0.6707884532118956,0.7397087311743756,0.8090639653242958,0.8156805994516138,0.73190987563644,0.7447933316833206,0.684745785520082,0.5792385506364977,0.47520970081924385,0.43280434107365495,0.4647249218954919,0.49012445227204726,0.5809174202612948,0.6008716184228179,0.7492919470312087,0.5856886124907086,0.6003533168431864,0.5119572284660461,0.49220979794092934,0.4521340354849832,0.45007652576402024,0.415763836568343,0.6920543476102758,0.567250141592874,0.682163214334534,0.6279164979848845,0.760948607095847,0.7953653597207325,0.7550841921875536,0.6561944659364676,0.6626009693569564,0.5899810042827004,0.644800442693227,0.5725316503631436,0.4994414755893672,0.5430971719753794,0.6677701297173113,0.9428253495192499,0.6616159091148269,0.597221006026052,0.6283585984351309,0.5491390491367495,0.534633361413515,0.5149964394472175,0.5038494877536326,0.5026329312973655,0.5047936478691359,0.5538972484801375,0.6190787642053285,1.1857664452341397,0.9966150262887877,0.5027401443398039,0.5031747132733763,0.5192547224313248,0.5278380803601878,0.5762982688539525,0.5775545625348727,0.5568148381452801,0.6124396889536545,0.6743948589269217,0.8159762657284715,0.8807934362910838,0.8681703806178811,1.0874984323604018,0.9906373925832319,0.8427847318631397,0.7372360848003521,0.6562430932322716,0.6678275957860832,0.6381467700680381,0.6247902189649541,0.5885800095968619,0.5580523922296079,0.6118312141949059,0.63690502380003,0.6277382982880506,0.9255641646497493,0.6615529620527549,0.7610195874250393,0.8652944784605408,0.7998786521825934,0.8846463691808879,0.8816076354126166,1.3418070192292482,1.5831097234912022,1.3513836166636934,1.554706368252754,1.248735009651613,1.1133586962276776,1.0645717524085276,1.1111106440695546,1.2617365770496067,1.0046843091382518,1.0003105231782938,0.847687480316345,0.9473451284174413,0.7989948033916182,0.7539371560810906,0.7507730371164784,0.6986092038464998,0.6950626386506104,0.7183548270558108,0.6944299218849915,0.7243395756665546,0.7110829162626954,0.7612055113052995,0.8473990239231058,0.8822896368262486,0.823195753166065,0.9311040497388822,1.1489348533398653,1.1669762209337649,1.149384405705536,1.0653142443819066,0.8856590655050516,0.8921719093229589,0.9876191229840641,1.3384607944905613,1.3182875937991294,1.2941388257167081,0.9238952495859173,0.8145567846746989,0.8160508661806954,0.8359838882729164,0.8847293983782439,0.828313188567069,0.8714663782085103,1.0249842191935195,0.9379216632569057,0.8756577851053539,1.3166511031948263,1.2836720627338234,1.0426214971299395,1.2607636725718172,0.801172653874742,1.0031055602986707,0.8813588141437525,0.8241302311141859,0.9296756792779096,0.8879166379488957,0.9548523809534729,0.8164004592631281,0.8137693525156285,0.8216245548779293,0.8816840594052918,0.747602707907848,0.7505507405494455,0.8203899163966218,0.7497176944029845,0.7432976300422961,0.7896684475733837,0.9000312574681607,0.8199064660146149,0.8159710263988641,0.7924719379157822,0.7513524392995318,0.7011927575698158,0.7575522639611613,0.765048217419203,0.7237733707014802,0.7267952501508441,0.7811685179074664,0.8195837799264586,0.7297407182847347,0.8946794473204623,1.0697305169007232,0.8886670941796256,0.8744810161873774,1.171121363447512,1.29729471637426,1.160630075287483,0.9560079383168397,1.566267809523468,1.4317285561065998,1.206700369525913,1.1385803906806413,0.9294831323226784,0.9692938423688917,1.2011123714344167,0.907450386679315,0.8694077517791797,0.6723474232638437,0.6677537133290513,0.724327672382023,0.7916156139602983,0.6710496764367062,0.7927477880697533,0.7364367760677821,0.6660853478241663,0.9428535375290256,0.9138419719210346,0.7481351140440371,0.7172377240857337,1.0869851007517009,0.6336403381976994,0.7921979627567275,0.6760833577598651,1.354160069337757,1.5216148221327865,2.6031328130980493],[0.5292518465913328,0.559757061806576,0.7304591455071481,0.5646415880876966,0.6924617671645811,0.6177159135869349,0.5966768524792391,0.6344027031402277,0.6327790613036377,0.5821555132054103,0.5614057851329586,0.6148060457799587,0.6247748794100028,0.5693661311229476,0.6406823258174936,0.6131518617735698,0.5665159340942995,0.6171047174199394,0.6839218054375765,0.655779482780613,0.7499943116050825,0.9083856182590114,0.9786299441156652,1.0316287064179204,1.042896698293672,0.746970817819145,0.641636449163609,0.6455983877459509,0.6479739378380803,0.6078466976381252,0.6460338035250448,0.6031645158054284,0.6214882312276541,0.6300731171942493,0.6295284366017132,0.6411609295644065,0.6927295607015157,0.8067143006299307,0.6966529519022253,0.8789856309119727,0.7883134204468061,0.752344892434037,0.8137430090052205,1.0524712752414296,1.2974943434030675,1.8017770045304835,2.3069167000958064,1.3881832660360582,1.4890899383427911,1.996669178478684,1.6183355643000994,1.7515266508908813,1.370814901663397,1.0031641661517026,1.1799752515825896,1.1421481571752665,1.1287752842084924,0.9416691435901349,0.9879603472041153,1.461129923963841,1.052983946662776,0.9198442557654627,0.812101918188397,0.8466097379178061,0.8684402302707712,0.7784537540206689,0.8798648978343478,0.658147590344402,0.7156819395015747,0.764225468328444,0.8457681200754276,1.1098850943163374,0.7630483870272929,0.8624336392992427,0.6993855581476601,0.9931104508740605,0.7061291494936685,0.697753658742423,0.7762783765192778,0.9362721391966461,0.7241558364585268,0.9559814283457683,0.8005309909801891,0.9200754546997965,0.8427312579882461,0.6747058560831934,0.7079976864197637,0.7368129664086698,0.6844519396329521,0.68820788501511,0.6813625062798961,1.0683953503694552,0.8532986866560759,0.6706423218762878,0.6499849123782995,0.7410427903202401,0.8044852994853654,0.6293514500922448,0.5885231849550929,0.5940940846943235,0.6146253506156811,0.6944940720055481,0.7024632240140731,0.7190015060512025,0.7681757879368126,0.8482870819482621,0.8984133807881032,0.8746656010329281,0.810370909098193,0.856140851948401,0.7610515740222557,0.6856555776745006,0.6039747577887232,0.5752799059105731,0.6217530768831069,0.5939631819322629,0.6156202362461302,0.6218087669881206,0.7345251000276289,0.6381564434586063,0.6367643579361655,0.6031011567737138,0.5856783198174704,0.6149391335877756,0.6236590895073428,0.5705069383699435,0.8132320315863,0.6926867170373324,0.7889406900260408,0.7113403237729811,0.8334698519200097,0.8497197635432276,0.8053128991718823,0.7130671378196805,0.7117767136306485,0.6543717934611024,0.7259804983926058,0.6275224306528623,0.5648087883617489,0.6159285400974158,0.6640259690794074,0.918112151925899,0.701476974702802,0.6568736669823338,0.6791374915498097,0.6454697664305016,0.6322031030748775,0.6465544757998358,0.6486681811715889,0.658734683575982,0.6153059615487866,0.7315621244104141,0.7838619346048251,1.2948681303489311,1.0724045150886667,0.605421681053322,0.5972655492699391,0.6427326709687576,0.6565519097280741,0.6732213735042861,0.6916352296030241,0.6543475134302913,0.6700266977389975,0.7328146475724021,0.9531100918107225,0.9799462272585713,0.9103025301255833,1.1458981631315484,1.0278864006180657,0.8342013840427313,0.7574046930442506,0.6815552185680678,0.6983492552848207,0.6904766876318722,0.6723849722003871,0.6688369044538396,0.6483739921997825,0.682798789016673,0.6828425535869799,0.6997138827949754,1.1164433629364727,0.7566347139730292,0.8361183516032422,0.8700036048329313,0.845116314717783,0.9503352562380666,1.0854047238955138,1.6408096517629975,1.8855849046159527,1.5449559671631645,1.7315623871798291,1.4574039602331834,1.2313747773547563,1.1915942555758545,1.277748820138407,1.2831778854092295,1.0529832086550974,1.0350456114535742,0.8798164207402266,1.0089993190564863,0.8453505353156219,0.814363594467845,0.8086366095432242,0.7297820509882833,0.7265683485646479,0.7517388257146984,0.7015648923875023,0.7193752298245261,0.715789554928088,0.7525818601770505,0.8130280457892441,0.8368712972177849,0.7908701415952758,0.8741211097807103,1.061299008062464,1.0917197831991838,1.0894466882938116,0.9989800418932886,0.8363768965098013,0.8409321357835642,0.9448519500887055,1.317271108509766,1.2841714055658473,1.3399976299429008,0.9386795513688744,0.8352653083133671,0.8616201884285638,0.8612536847214323,0.8918790076104651,0.849368464562642,0.9133502005512674,1.0531709488086638,0.9516562317363292,0.9043035319251546,1.3490921956718926,1.2981678466432711,1.073131977933471,1.2672664836478837,0.8317582484586711,1.0292382987227542,0.9364436589484918,0.9002993967893427,1.0102306029388972,0.9534123621608704,1.0511800423359519,0.8899441292392669,0.860701746528741,0.8917312512089544,0.9460776788852371,0.8067171221344597,0.8161282703125831,0.9021468859891214,0.7897298354230092,0.7566189948797979,0.8149601084090085,0.8976720169802302,0.791997162130688,0.7787281164310365,0.7623988246586749,0.7359190032255926,0.7291445093191836,0.7719209024460387,0.7393553642378132,0.7173507063311588,0.7452360685434268,0.7680755030367649,0.7953051342894294,0.7430284820229892,0.9047561877666828,1.0604815815430022,0.8900959539197413,0.9081747065487723,1.1935197830518969,1.299220100734111,1.1580504667551765,0.9337881578982898,1.5444264680250288,1.3977121966884847,1.1469805280392658,1.0669465055536624,0.8836231981353687,0.9221532506464227,1.1187686893454505,0.8486531804318211,0.8360305506593683,0.7050179588370817,0.6823636741080146,0.7439153114252876,0.8345945982401725,0.7357379698116592,0.8235318845406397,0.8011254892946215,0.7472814225947297,1.0775448609382112,0.9829842892107007,0.8072375123480631,0.8098383790472223,1.207970939422368,0.6515620001289881,0.7642055369443884,0.6946366919494573,1.5988806908817368,1.4841866096081695,2.4054567268899407],[0.7267820277391974,0.7639966744642797,0.9197840824673555,0.737966437468523,0.8567589680560721,0.7814675107797127,0.7114518750902704,0.7303157003098455,0.6822877888249425,0.5768266111149959,0.539158989070336,0.6208096676569151,0.5922728035521141,0.5146714510908225,0.5853597726848722,0.546430746479759,0.4986588326817333,0.5490740298151141,0.6743964545155722,0.602941416011161,0.6884839246340255,0.6942026831471451,1.1801869860156273,1.1256324611712067,1.2283432100785072,0.8257978732837975,0.6174716564222471,0.57892671131659,0.5702225887995934,0.537873591568702,0.5661563437737277,0.5488806454725523,0.566167378683522,0.5676232949533397,0.571085147714328,0.5679439287275314,0.6317736472836006,0.7152941597191067,0.6093528083477492,0.7423411631518023,0.7293044520512632,0.6953831106362528,0.8024020006254345,1.077897784199873,1.198057189666939,1.7680021911172297,2.1970208848304984,1.3507648240408143,1.4495795622220558,2.0606475031398945,1.6205970320802199,1.785134133326788,1.4217226448371387,1.0790910084264174,1.2776378881802366,1.1282512806582838,1.1327110278826538,0.9994925762129085,1.0213121993362202,1.3258734737855074,0.9471512267227085,0.8536692210784401,0.7226473928524273,0.72637707018926,0.7300819333371172,0.6762696645450201,0.7449749374329137,0.5958776597275219,0.6810228244536056,0.6928396806722726,0.7926646599774925,1.0412397790237933,0.7196647477039531,0.8420723680351978,0.6329641241316643,0.9301466114040959,0.6890211120143589,0.6469492338755041,0.6987185471406412,0.8396926841922436,0.6454953228409567,0.8634970632404988,0.7719480534761562,0.922255953772686,0.8479396227874182,0.6217261319840396,0.6172002430607525,0.6851245071191712,0.6193985928638268,0.6180221496819033,0.6083193188515691,0.9564343994795615,0.7615211407051984,0.598463286595867,0.586600962269896,0.6700549470795987,0.7618560336277992,0.5939513764053974,0.5761598612053765,0.5992512156496376,0.5940465259297624,0.7227093136897326,0.6830433230588572,0.7439143020342855,0.7754833233022481,0.8955168197691005,0.9646099979156856,0.9344702727524713,0.9250104660640011,0.9508811988512497,0.8830897146454457,0.751336730348397,0.6594625996894409,0.5721951951020167,0.5597941892914401,0.5198937276295645,0.5712536502496119,0.5883297726211336,0.756634201675064,0.5896925954893747,0.6077478906932862,0.5294597627070446,0.5123671528921079,0.5460775775697513,0.6241438454558941,0.6059659186553826,0.9705222305938884,0.7908526031773275,0.8953760796433383,0.7658254472790186,0.8968512931057502,0.884951827687478,0.8052880439535712,0.7192993062259512,0.7128141362025457,0.672374518045769,0.8001606555187682,0.6321629355961345,0.5218376044531667,0.5386429436379772,0.6408181769560348,0.9141917087247954,0.6421344185423853,0.5758700790771286,0.5981678483009986,0.5577875663321904,0.5544712111384453,0.5958947687824333,0.6398157620889726,0.6851184615177607,0.6855288691083139,0.8015812343563838,0.8354639204915804,1.2827947151765238,1.005000020057559,0.6428845369671983,0.6159315684134803,0.6808475547509801,0.6468579039512662,0.6876451705910046,0.6661369756573531,0.585589753877712,0.5992472678288013,0.6636061793294042,0.8378235808645775,0.8808242683455547,0.8350379719182823,1.0458356909401831,0.9721653398715554,0.8116009958532562,0.729777583964045,0.6490645506713394,0.6542668683323788,0.6435380510628423,0.6295160277048922,0.6406550762971802,0.6079922234669369,0.6442446148763085,0.6369087054551116,0.6536014944960276,1.0266688209442112,0.7391628948376031,0.7958345016876243,0.8138976601709832,0.7817715059675265,0.8559782442385486,0.9271981275272598,1.3651382877286655,1.6463584796907444,1.3646441822287787,1.553099543231011,1.3733748536929944,1.1452895188594476,1.1541726233059046,1.2045924609415541,1.192588773355766,1.0563942449281527,1.0586869074840675,0.9689696625095101,1.123220339982531,1.002333091682914,1.002432563130141,0.9951266387356453,0.9481171942183856,0.9631324208166978,0.9868926030453826,0.9643152460875695,0.9736061364993747,0.974699155807422,0.9987130527068253,1.065572504823479,1.0727562886693176,1.0119427453469907,1.1047598479418717,1.253704001887866,1.3103871831971223,1.2712750095018706,1.1767370102696537,1.038298220567625,1.0368167395740515,1.0759894278270108,1.448333816963825,1.4382419196390193,1.597208063965166,1.1259385474061332,0.9902707020306518,1.0119339093932471,0.979397394315828,0.9876052686475445,0.9728846181202385,1.03056357250862,1.1252962486250562,1.0289567136451099,0.97706168209872,1.3268951769381134,1.2586152938893271,1.149642155435372,1.2670873184614198,0.9290161430918652,1.0819401631601717,1.0290137560510144,1.0599136121359762,1.157263939749748,1.1209737626741278,1.205561214006724,1.0542538481682835,1.0631659924379722,1.0839858261753375,1.1223985091105,1.0369492847288007,1.0501115079036456,1.1216475900014964,1.0274662751359371,1.0104501797255547,1.0514463331335295,1.07932688456341,1.0164834626706856,1.008045761846512,1.0065407015288266,0.9688350079876358,0.9792326042496987,1.0119436739918444,0.9612017961573125,0.972571638271636,0.9694780290682398,0.9743547251295798,0.9931899508102922,0.9616216663881033,1.0572617846663972,1.2146677977670757,1.1102964954110206,1.0798832937645653,1.3112291118089032,1.4466721600541943,1.3193918527582933,1.129338401425784,1.580057190047129,1.4964916350144168,1.2870316156138257,1.2620707407687626,1.145017255086798,1.174191748578293,1.3929530248409185,1.1441534871859622,1.0917166908483105,1.0109385973920002,0.9204890494688601,0.9386005608446281,0.9881476126764708,0.9075484707987455,1.0061369492446741,0.9730447898822466,0.9511059353215576,1.2072412310649558,1.1380999334272988,1.0320254086321936,1.0176528012461168,1.3349603373031824,0.8428213236084644,0.9178917504643154,0.9791686663219223,1.8666137738980206,1.7265222084991008,2.4134626024745507],[0.8418733789539141,0.8569700793205851,1.0028866016293014,0.7857715868793186,0.902490163468567,0.8445925394213574,0.7524058576455642,0.7656475445312695,0.7085883104768056,0.6016394291895097,0.5720480543084707,0.6582938906465134,0.6190919812850427,0.5424649975128103,0.6103406273717761,0.5678294524770873,0.5250186375566399,0.5977403594955857,0.7427672466917555,0.6655333187172796,0.7731481639254055,0.7382987075566364,1.36027517919804,1.282469466560594,1.3295199042124204,0.9055480806606157,0.6771877992327886,0.6323444766331341,0.6090433686169432,0.5659783030754671,0.5982399592797036,0.5819651674675645,0.6067030590203792,0.605272281091716,0.6146453852878209,0.6047574169751448,0.6694366618738032,0.7516061607129858,0.6488955294747939,0.7716147166070737,0.7781073771153547,0.7498445500791799,0.8804186278419456,1.1335209267876467,1.2289129385061655,1.7724826370473499,2.2160557857173044,1.3973678161749572,1.4753499068897145,2.0919404688135255,1.6813769155296192,1.8764556059970874,1.5325608894772165,1.1552533585363365,1.3846286857033938,1.2383782108182693,1.2206277159826033,1.1079483435706141,1.127433307749836,1.33551773583361,0.9747023597030354,0.9010258599227895,0.7773118980893466,0.798906927509899,0.7827082764222154,0.7295032160994156,0.7782548040589594,0.6588902359227247,0.7333581701653848,0.727507227507647,0.8275457522111549,1.0619633966151634,0.7561595253176439,0.894496485414236,0.6905842776055717,0.9509782267377369,0.759512757196884,0.7096293614854712,0.7509545447644597,0.880424324113681,0.6915664275644268,0.8779837396994665,0.8147840940230833,1.018309266414334,0.8744874518093128,0.6650337615059392,0.6540925580021227,0.7278040627073467,0.6686187991632567,0.6624900505187133,0.6536684929201969,0.958244595416565,0.7823688003568383,0.6260309693163398,0.6171407761566621,0.6853135535042872,0.7815292601293738,0.6295576781836054,0.6115796697550118,0.6313760872606701,0.6288110363484929,0.7556792247801051,0.7033580345279774,0.782584836794925,0.8189071397955278,0.9436145564790143,1.0327666207661086,1.0110976856484044,1.0059354357225305,0.9958730171231797,0.9514142914143425,0.7921136822629856,0.6872139971343891,0.5655165776092816,0.5662257362460541,0.5451740587209586,0.6189554632065515,0.6446256739772925,0.8215905229797325,0.6344599326073639,0.6485955583517481,0.5534308783543427,0.543545015810797,0.5487556282656194,0.6231338144110437,0.6029217156941767,1.0188475264875867,0.8254133548591328,0.9573402097111373,0.8139860073377275,0.9734444482352527,0.9639331224843782,0.8439300120354843,0.7583872012898212,0.7456108822161196,0.6454892802424239,0.8186657066618954,0.5975400827919987,0.5006239950909509,0.5503547028428197,0.7056675485233321,0.9846752611521321,0.71480112550973,0.62272075843683,0.6517997233683009,0.5954226780933036,0.5839673328176885,0.609057753898295,0.660011234643795,0.7084400011047848,0.7366613380689261,0.8167401127494117,0.8230636925011579,1.2718305299133856,0.9518186842144369,0.6789841233718894,0.6526684624061605,0.719971598778547,0.6669533160679562,0.7214818676612237,0.6751449456230405,0.6110722499749809,0.6247124542598171,0.6976744554869359,0.8823297531437073,0.8864163958310499,0.8682903938647685,1.0796756855775451,0.9971344368960211,0.7972599129981452,0.7406253922994273,0.6479108512387389,0.6726548069399164,0.663826020601316,0.6584889092755438,0.6718532040103278,0.6363249551272541,0.6597382997947684,0.665407018654863,0.6945392671000747,1.0327428203080502,0.7758817410850948,0.8340691142307812,0.859926430048609,0.8180360227552801,0.90157454631654,0.9260824358980105,1.4308757414472564,1.6122709541624576,1.3818832100102851,1.5831926294793774,1.3303100201431268,1.1589418805633638,1.148032798757522,1.2749714934078586,1.3091277372943013,1.1520875474409515,1.1786608089328847,1.1058109211617495,1.2336925719114182,1.1413419674792233,1.129783048398645,1.113359586926881,1.0893873642080527,1.0972043786249837,1.1126815079686472,1.102106862093483,1.1165327341407547,1.1092200410492736,1.1262524219912218,1.2012251845898267,1.212958926070182,1.133583625871472,1.2239278728446183,1.3931316806228933,1.4480282171756622,1.3874093811774193,1.3237130247461109,1.1907207236537907,1.185313242845834,1.2182191671760758,1.5470817511951922,1.5717570097327782,1.6761466329463506,1.274672694576406,1.138401521847354,1.1421293306834053,1.0925717853119035,1.1197000576431935,1.1144638473341575,1.1393498091033245,1.2306172970348686,1.1293993940004976,1.1086118521050226,1.4642616689489412,1.3723425934331452,1.2621508072209102,1.3346209707518484,1.0756052625543269,1.2013517431787482,1.1465167730683197,1.172473686356187,1.2586158865210115,1.2366945307577475,1.3085556162108773,1.170247119433052,1.1920031000955587,1.1975307635612338,1.2306971033393264,1.1513515892179564,1.1505900108184808,1.2082229131179396,1.1355323890270397,1.1310886628558712,1.1562476675343412,1.1870504038327128,1.1421495380865698,1.144430903176526,1.1488688393113322,1.1138409857135276,1.1164846995187212,1.1495625222084944,1.1130977654060388,1.1225892720777813,1.1076682904515112,1.1293584870800155,1.1467530181785253,1.107738582456206,1.210069489980649,1.3458033928815891,1.2437968407686764,1.2077054227229151,1.4574420315272403,1.576773337375583,1.4441692713851468,1.2621876326990713,1.6833976069984677,1.552486385265712,1.4160676577790656,1.4007098070331456,1.2911233301429381,1.3108381498863948,1.5277740767211494,1.311825821652839,1.2585542227938704,1.1688193532956306,1.0848272346948948,1.0722496268731547,1.116220044474705,1.0098931892918064,1.1114621579888468,1.0593080198790952,1.02780554596973,1.233720882484683,1.209738905474695,1.1229443772504928,1.0801616208726115,1.359163681750214,0.9350447810569951,1.0289710330032353,1.0574245785247394,1.7518333549996514,1.6425793375619924,2.438284165076264],[0.7458203122691969,0.7777032111241784,0.9548203589329421,0.7334350807456751,0.9048785924950167,0.8368303485237744,0.7863494104408152,0.818194705482471,0.7516534080498384,0.6674481356230088,0.6264156288315827,0.7066193983463648,0.7042773101596286,0.6061867643370455,0.6773374184140859,0.6556024216729007,0.583937059541381,0.6437036613635392,0.7224327005888661,0.6744487066975958,0.7569118022523971,0.8680272828416803,1.1679020638998432,1.165388549436334,1.1407935462362542,0.7999625682042566,0.6562783261727999,0.6755503810306267,0.6854254699883844,0.6679542786947638,0.6712306353245348,0.6803063037570533,0.6952728020796212,0.6788687492373094,0.6951848112058158,0.6854301081525334,0.7696720578950673,0.8551716017914828,0.7495056102407637,0.9541004285662479,0.8128378198522083,0.7739067638670847,0.8673301146780694,1.0987261171441742,1.3254314996843204,1.81836023835102,2.3361199108594106,1.4459104323619623,1.5291893374753536,2.0168457389792414,1.6805595352632687,1.8327780371150038,1.4506899456995854,1.053631109558239,1.2705888179399536,1.2442745135809121,1.2064913628369938,1.038310940648772,1.0810648085895105,1.4364207396253927,1.0577936058575166,0.933097768984941,0.825032271511664,0.850046774918509,0.8371208509968467,0.7724793285275038,0.8237204980879602,0.6795103303413406,0.733234596299801,0.7555565318213284,0.8543135903526115,1.1201026364807518,0.7659258049492781,0.9006362372527141,0.7238823241084478,0.9784911681599011,0.7551405868131643,0.741131638354667,0.8116812815072935,0.9663819935556158,0.7765289144253626,0.999170442703061,0.8659779531447873,1.0281210787827881,0.8942716820630441,0.7522396047610788,0.7473461867787466,0.815604504866788,0.7268562970372601,0.7364856064191895,0.7104923122060119,1.0252354941144741,0.8450695112931769,0.7008561332762057,0.6894011486729336,0.7551685298265689,0.8412207117785537,0.7032089673628041,0.6866259016008748,0.6847349470420223,0.734854692114069,0.8557045949340581,0.8454186883694634,0.9324771405856254,0.9896450286792091,1.100868556503508,1.2019004968320974,1.1787998727839315,1.1449171690320676,1.1258269716271658,1.0458282113673494,0.916694546527704,0.7813046172194741,0.6961347043312731,0.6797703014150959,0.6336299931061523,0.6393500372400246,0.6308814536713442,0.7779730251974932,0.65415715814385,0.6539372315274303,0.5930000001808821,0.5817406653540421,0.647801409459752,0.7110331030850249,0.729425858720499,1.0842981366992108,0.9583750616508313,1.1019323904952285,0.9949649133155345,1.1579155941212673,1.169267453319284,1.0704153050041296,0.9709263299544837,0.9633543295393648,0.8278886430122687,0.9926033263352679,0.7630653294473758,0.6299231619215829,0.6610300667942047,0.6585515497224023,0.9358028134880775,0.7238223107330248,0.6842084183798385,0.7171884556337567,0.7011310422443368,0.6947110136581481,0.7347416929712136,0.8023897439730011,0.8173823159040791,0.829308467791803,0.8952149761308708,0.8960843778424292,1.2977713722867135,0.9865622374034263,0.7583694510860752,0.7334100193173652,0.8285561421654437,0.7859572631105199,0.8480199171677001,0.8417367532837117,0.742557678597738,0.7392697743561992,0.8140234394696014,1.1025396468178756,1.0304191313042184,1.0522127758748423,1.2542765827257607,1.19341248939039,0.9419818898077476,0.9304721887974188,0.8078977757343527,0.8415148175035869,0.8275831759762877,0.7976508204328517,0.8260836600677611,0.7633840835020376,0.7901962753549729,0.7911636622339301,0.8637833525883676,1.2532103579015894,0.9685631827780639,1.0399969545154784,1.0357545495466596,1.0082901871942096,1.076346270358203,1.1585827480452573,1.8054674058087579,1.889832895222626,1.6297315925561322,1.8377534475295738,1.5546026053234345,1.3794450836514953,1.3693076858556232,1.575041558219295,1.5362715745009123,1.35748688414265,1.3729678719372997,1.2570200426121985,1.3625388916920937,1.2562965142883429,1.2280468495102088,1.1968245150613124,1.147515398540576,1.1462272167535144,1.1359029154083806,1.0926136926934604,1.1139310386257921,1.1054119602490553,1.0878933616802224,1.151721729675048,1.1682577688235187,1.0794429327241577,1.1506305829933665,1.3314991965348646,1.3895108733870527,1.345422879957465,1.2993055489156038,1.1762913086870352,1.1716391095548322,1.2401186453798312,1.5603428176402396,1.6064658415598256,1.7043614484619858,1.3541469389531355,1.2494428191917404,1.2633442736936886,1.2371863832956909,1.2470790851246845,1.2356258566998477,1.2898222124659706,1.3837750538425626,1.2601325944039936,1.272987726139904,1.6545106518545878,1.5388905224229905,1.3944175288752416,1.4759232526939823,1.2277572814282172,1.3695235501356704,1.3202879354485182,1.3026739779126482,1.3966630864999419,1.3590756227075123,1.4312242967915711,1.287488538781372,1.2746280481034444,1.2806986649424654,1.3074306050966158,1.2017283925385895,1.1834268100484513,1.2283042825942334,1.1369623126466313,1.1332107398899973,1.146132442827507,1.1570494358107994,1.1123225787283333,1.123861383510249,1.1370469762340811,1.1337968531964406,1.163205418342491,1.2110487547593087,1.1409040823487826,1.1410556415173687,1.173047247478412,1.180605028173553,1.1747460942896155,1.1655810866119454,1.298142342572059,1.3841980376778975,1.2624199815136703,1.289886725203221,1.5510975037311567,1.6168776524508386,1.469992597752779,1.2552633086697418,1.7146620618666604,1.5248885427448602,1.3897788669860562,1.3482692157059812,1.243417107022879,1.2479009458705772,1.447931233881947,1.25167835881922,1.219748627405197,1.1616828966978845,1.1204033913556906,1.1095335351683617,1.2128798748633725,1.0864067244994922,1.1350466415386584,1.119097839867062,1.0736325861884983,1.295120858869279,1.2389401791652919,1.1153388852481285,1.083468890989303,1.3809914155050098,0.8907314990099229,0.9882942323809139,1.0078374850213594,1.778447565993377,1.6434055305149595,2.4993808218558975],[0.7814819589903914,0.8347155576343768,1.01999745029486,0.8196884166916922,1.0024105186773733,0.9361024473079863,0.9052753020345515,0.9395351417986214,0.8541600751763937,0.7704690599592612,0.7144144638787158,0.7910461489118973,0.7974693145141012,0.6857948334436618,0.7444952083097948,0.7325012894768526,0.6534431010992064,0.6826583833392438,0.7310984345121068,0.6844662866318643,0.7421387786480563,0.8569202214918191,1.106584194116628,1.1072130524061836,1.1157268036501145,0.7868016116331694,0.6755963406638019,0.7199467350044663,0.7426468029368212,0.7529849813601425,0.7215654886675427,0.7602257213604007,0.7628014327078997,0.7358985811360493,0.7557820616678569,0.7392077106424506,0.8399076414005104,0.9066745918135769,0.799019089387192,0.9982657733851337,0.834454691919972,0.7822626515856707,0.8512765165058491,1.0855314511278331,1.293186694013738,1.7991424708886494,2.286173556816198,1.4216810470762178,1.5225066173326187,2.0182370011848736,1.6404143118354706,1.7823411043051776,1.3996488688351663,1.0377949811676963,1.2153893224814911,1.1947211188066338,1.1655456877781172,1.0000077112996957,1.0372172014627594,1.4667431964848783,1.0617505704697616,0.9254069412474785,0.8323319662474716,0.8208665367950658,0.8238756212242059,0.7814853471394699,0.8345691655282751,0.6905670907690836,0.7401330353773371,0.7744220046748037,0.8678996511695263,1.1403055941138083,0.7781752627831933,0.9118177234763907,0.7313294667210238,0.9902482735846079,0.7601824666090956,0.756108510847438,0.8384499612931904,0.9984272998264941,0.8300372320035281,1.0662109078137842,0.925786752129411,1.0227834391074448,0.9328530188738086,0.8175748177760452,0.8022965953241185,0.8658467335626081,0.7632469538630877,0.7776390011818046,0.7433491377729573,1.052557611233522,0.8736188505091355,0.7503780855638169,0.7461829040661357,0.8152111016109467,0.9118466792351542,0.7770362728724146,0.7761406471140936,0.7784481613827846,0.8299113565449179,0.9514817211071811,0.9599312554024997,1.0557648335425613,1.0937604996434895,1.2177795221735521,1.303168024614737,1.2670150506123388,1.248026960564038,1.2397934024464523,1.1516717701803276,1.0472445740386624,0.9162230360112444,0.8532244376823951,0.8029520976940507,0.7404301710985226,0.689124868649164,0.6649993407705522,0.7833068367438368,0.6854869308284695,0.6867181069561878,0.6528791980606841,0.6473629599829367,0.7559803819468612,0.8370131064851468,0.900444393193278,1.2152552451283969,1.1095818099181507,1.2296286729040384,1.126633669014444,1.2557606744440912,1.2483550254529139,1.1810832599975214,1.0893912283984974,1.0999999492528596,1.0150993417921739,1.155358203616634,0.9693128622562223,0.8314680633942108,0.8102951408888334,0.7074396052990066,0.9409268238617113,0.7505634834811701,0.7599353948706608,0.7835953806152,0.7835502526372625,0.7956746502124845,0.8488296686849992,0.9348677741553737,0.9475313711266841,0.9496707463932322,1.0289490693564725,1.0224800842130377,1.3806612026717329,1.080259433030565,0.8665098769793539,0.8416395503622319,0.9445299040722774,0.9014278050251977,0.9651600260769049,0.979113837194186,0.851252618877657,0.8522306064069579,0.8989965119574759,1.1709634269905476,1.1365742471254623,1.1394311268310675,1.3154327844315312,1.281856948243731,1.1104218717210008,1.0752725327881865,0.9740904440214738,0.9804260104944423,0.9534576629422092,0.9052651180052562,0.9339627489768212,0.8625648016269353,0.8876289482845499,0.8773980615118793,0.949584185348048,1.3496212314721878,1.0856431802713318,1.1418826687195263,1.0959075460674552,1.0856861376896503,1.1208064677198637,1.2365936618284887,1.7632136449048321,1.9409583425747006,1.6507399149979471,1.8367973565225273,1.6848751824549395,1.438354525428198,1.4956435517227573,1.6163699650143253,1.4985693232588235,1.397915149096294,1.3937867733192693,1.2901068861706848,1.4236865707588702,1.3081316063367734,1.3048530283959536,1.2761879247364198,1.207837710269755,1.2155160162629182,1.2107916686243358,1.153056321598294,1.158761967757276,1.166322357968795,1.1389815133658459,1.182802613697432,1.187682489234395,1.1190475879023993,1.1810522422806966,1.3138768468837738,1.38568543163432,1.3478635314731893,1.2715962599444988,1.1722399553558238,1.1691532688794015,1.2180803923698476,1.537749126251233,1.6128383276029463,1.7920571467544524,1.381503921436122,1.2777814472778373,1.3182488684114841,1.290041048100982,1.2608368211186904,1.2479509420774841,1.3463930687796282,1.41140438587729,1.2847290778631926,1.2900626365210226,1.6048613846392263,1.4932833102605907,1.4166349959421403,1.4777389176179805,1.2486925722416968,1.400483343225385,1.3679638147010382,1.3801485775363118,1.4746723793911691,1.4401984561550645,1.5050913783970228,1.3566980613116368,1.3329238353316983,1.3574173689893474,1.3822197218083774,1.293073247334894,1.287029460383035,1.3367991273660502,1.2213162737251093,1.2121739903397568,1.2320796231286357,1.214521993112208,1.1487810630844884,1.1614008344481987,1.178280578828476,1.1826434860390387,1.2387164532555157,1.2769176677832106,1.1690690218097737,1.1883948450761876,1.226425481301579,1.1990828889754266,1.1812635937407416,1.1988497015141284,1.3004194950183638,1.384897115316749,1.2889739760466008,1.3186709679348567,1.5306293540580547,1.6065057810683427,1.4674283431864135,1.2569765754202284,1.6649121963572804,1.5381847612718351,1.3586523907765409,1.3291551325059179,1.258520008426549,1.2660492783488544,1.4550879499155913,1.2590333533455935,1.222419543100121,1.224495778616213,1.1536222170208505,1.164818346112957,1.275153521757241,1.182165573917131,1.2080639001958202,1.2177094674704012,1.1912169635799248,1.4300761672418147,1.3266535065881113,1.2139211583357696,1.2099690760605004,1.4897942756311247,0.9620330571202539,1.0231284302727142,1.1979766535500962,2.1367373983368254,2.033834424984981,2.712766102267059],[1.1106796327891868,1.1253685953982868,1.2793623355714958,1.0603212238892787,1.2176243129206592,1.1893314062276965,1.1170086447947134,1.1402030773592873,1.0514312735999252,0.9433780586182293,0.9026822124171093,0.975565641987618,0.9314467702478675,0.8570030655230937,0.8860279453147216,0.8435397537292856,0.7752804421965964,0.8318627532484525,0.9396079483022274,0.845545112452343,0.9735954759456693,0.8855913863848383,1.5747582275360887,1.5061850407134223,1.4729728681308887,1.085046015115561,0.8208747964120315,0.8136736063894626,0.8119501036858987,0.8108466695892491,0.8440088127573866,0.8416383287053453,0.8625604534465103,0.8118354338062692,0.8160464252029553,0.8003370760685532,0.879040327821836,0.8977620406869462,0.7920068946388057,0.8832331749409896,0.845404893873702,0.8482395719180508,0.95509330792064,1.1936292198583232,1.289691815665232,1.8100158503004233,2.2077984572840084,1.4322340315307953,1.4971349344038307,2.127957347302308,1.7134604788629386,1.8849096491899133,1.5706563083367178,1.1701911532020104,1.3973168328123984,1.2769774347924996,1.26987156047256,1.150115276693233,1.1730130667864282,1.3596241472003974,1.0582893723855287,0.9933198681179632,0.9199018807750428,0.9579742820398625,0.9194543028296911,0.8858580519298784,0.9709883285568578,0.8632894593929279,0.935443831119886,0.9232364097812609,1.0165201197703129,1.2281846775423402,0.9588697660496349,1.0570075175248148,0.9182130294596601,1.1026073823674485,0.9148545233191173,0.8812724550780651,0.8973372468014312,0.9998470379442406,0.8149548440542244,0.9722610634514235,0.9225798228729837,1.0719530321536346,0.9055290490188502,0.7972988068988679,0.7840279504377043,0.8781541883724815,0.8242809092221156,0.8404090443915504,0.8541859407197635,1.1203246813838514,0.9900050190108328,0.8651512165529327,0.879095595723641,0.9382404293144163,1.0291457848133925,0.9083712879898976,0.92470273782931,0.9350032367046827,0.9252505843324708,1.0623818992390752,0.9931998371101919,1.1182758385145848,1.1158316589567396,1.297638520887223,1.3953672949830485,1.371295981324991,1.4247469010729352,1.379051080314588,1.3504587512006008,1.1736865218232124,1.0667275080768326,0.9298150085366408,0.8830203627710382,0.8202072825979857,0.820374406046861,0.839484056350504,0.995175365477303,0.837454611447641,0.8499887559382487,0.7889890909880733,0.7896967044139797,0.8582026397139634,0.9656301720261073,1.014357971606208,1.4213801647417346,1.268572942422235,1.399950507469443,1.2107495717439574,1.386078756465343,1.3221270791531228,1.17125269313733,1.080622299961548,1.0953830588571787,1.0249987710878137,1.3138735171494096,0.9753656317569478,0.7858759816464123,0.7448981764631776,0.8895601719317321,1.1120240296952386,0.8729224180866286,0.7898380688402575,0.7852684692836115,0.7981002902484743,0.8139813938135899,0.8947159718163255,0.9978061207766833,1.0667430602550874,1.1123330550424422,1.1815598505386795,1.1347037852217297,1.4683930753255703,1.0991394443019966,1.024410054397577,0.977233655731868,1.0681876797226868,0.977822492644783,1.0383993767138162,0.9741620677104128,0.8295038332731288,0.7929743734096554,0.8280886806500227,1.0284891515339094,0.9593176428660982,0.9598672169214353,1.077742393659121,1.1536996649062503,0.9711375042930803,0.9935985821501182,0.8761794627518342,0.8708755735283437,0.8653219971151639,0.8528111361144592,0.917746457521051,0.8819957776611448,0.8709833173353065,0.8268967115460363,0.9058088197134959,1.2209380337914786,1.0641612348892788,1.054705470782974,0.9833714533646697,0.9527274304655172,0.9707607792040824,1.0323698518337079,1.493355066734245,1.6217047235796513,1.4126834757103126,1.6000307611944886,1.4652272640847235,1.2891053063754858,1.3825801913002143,1.5317784514579613,1.4951237799122012,1.480952898371636,1.5131071522908595,1.5027933150839783,1.6202021253603998,1.5541947616859446,1.5616782023996483,1.5400190738655302,1.5137489060417886,1.5208780016402745,1.517956712937376,1.488554006505287,1.4980733960775132,1.499430384279735,1.467571608657713,1.5163118797015114,1.5214910244234603,1.4401565506893246,1.491427511981008,1.6173378402899987,1.683546489443002,1.6290268631421512,1.5859308513172488,1.5127750696204538,1.506462591098109,1.5274485295066473,1.7944214343719533,1.8974273873988556,2.029700846316617,1.6540659760025838,1.5276374090779528,1.5549193476901435,1.5006698203865116,1.4848691147475357,1.4868005015459718,1.536569829819309,1.57463377607908,1.4782362186262212,1.478406019037919,1.7142146565274254,1.6126017153761034,1.616210748295093,1.604731600200443,1.4751173942890754,1.5367257325141765,1.5300312199038524,1.5976151065348783,1.6532626521808316,1.6571822418467181,1.6925336849494717,1.5748260976275696,1.5922528017131499,1.5984527728588782,1.6245613389014513,1.5730123968787564,1.567423149465246,1.6089110775714708,1.5259592302892784,1.5326779264736463,1.5416356123091153,1.5212342534845131,1.4767394110437715,1.5012991876883004,1.5194623121836337,1.5136109798600044,1.55031601734839,1.5736899519226337,1.5062220343394572,1.529487986419082,1.527087962592278,1.521242736685895,1.5104426298301656,1.5132021902641133,1.5815525729522324,1.6758267175383574,1.60691037115256,1.6021841956604097,1.7854252950909026,1.8780495585434698,1.7452262765224629,1.5657999304432022,1.8634835210100567,1.741869875532582,1.6257632759766736,1.6085145991466117,1.5881045007224228,1.5794012421811172,1.7332436451555242,1.5982202880227019,1.5766837783890888,1.5899738134603654,1.4972927862049605,1.4716852243408536,1.5348217267013533,1.455902242296248,1.4835533790868582,1.4608021462748635,1.4446817604769562,1.6208472231704283,1.5699802696319078,1.4974654880948053,1.4763317500272848,1.6974138982164824,1.250036239228525,1.3276209268173234,1.5704833106872642,2.2697678340172756,2.2044062451651585,2.8810416393539326],[1.1437075635449094,1.1596701735259056,1.3407185005429936,1.0626159553268342,1.2335606735129283,1.1686734006592572,1.0749721235729077,1.1040200326445448,0.971953167330219,0.8427557755531897,0.7885518274640375,0.9023816107685695,0.8557099154223162,0.7321824597159536,0.7825681803777541,0.7617849438884944,0.683250389168166,0.7416019111598013,0.8505928174895989,0.7965301705922759,0.9246785934027864,0.9081958157003102,1.550933757244292,1.499076694267027,1.3879829965796087,0.997677363961355,0.7834964943272328,0.7485795984103979,0.7570945097170466,0.7698803434075986,0.7566149322698286,0.8054064912351132,0.8237046756198941,0.7751460657233795,0.7979225412557162,0.7624397196769974,0.8643932660639317,0.8976743884818955,0.813248046737076,0.9687546880077404,0.8844334331628879,0.8667855760497507,0.9909231650349973,1.202429514444245,1.340311074844114,1.8144828228984538,2.2954909536789745,1.5124774794299418,1.5686634133729258,2.1118250175416082,1.7679964837783437,1.939065138257034,1.6206516177344095,1.1850600533028566,1.4480091788426868,1.3966265283116486,1.346964265835808,1.1875128057618818,1.2219649813142002,1.449217701112468,1.104055303140026,1.025449412683456,0.9125562294773554,0.9823988121630901,0.9371159437640035,0.8676271147505156,0.9198105107017102,0.8009561381185127,0.8511348386387957,0.8286735997062147,0.9352036515863317,1.1656061055470792,0.8594414386409361,1.034787965050298,0.8346860219497324,1.0473166424149203,0.8864738037909677,0.8554140078729534,0.9010728593116911,1.0276496332099871,0.8460628120182281,1.0464051575218554,0.9413512820686682,1.1143912002490148,0.9435882431296561,0.8264856570682715,0.8056281592290091,0.8991676104433125,0.8165129501045654,0.8356302524271769,0.7877592099060985,1.0318461670711547,0.8952799159372782,0.7842068202770547,0.7874948112087938,0.8394083246300985,0.9352876652785957,0.8371175609137496,0.8625598526288435,0.9100031648360979,0.9170791734191114,1.082675236200664,1.0289126669046582,1.1820839853395742,1.2257297326254277,1.401720821569286,1.5440463604525658,1.540595931454158,1.5665435224214694,1.4760965756909992,1.4214799724697271,1.2077129843070458,1.0451462670303882,0.8958310617309081,0.8096704255889029,0.7294029033045856,0.7213213955668273,0.724230683406543,0.931736894089808,0.7371109976870441,0.7390640914436366,0.6550095761134019,0.6579735436289673,0.7370008745224716,0.8734068542446277,0.9545602446692054,1.398648924198294,1.2947519530576064,1.494987075890981,1.3329728759324382,1.5651007524300091,1.550187116226903,1.3743211739064864,1.247563592934262,1.258130213437567,1.0849511292316087,1.3588673000689118,0.9732899507787938,0.7482190507573926,0.7293068631441465,0.7492460732793835,1.0588360861389727,0.8096047898247533,0.7424804499513046,0.7738432754654174,0.7778317612374465,0.785034574260642,0.8705578885676402,0.999073818867042,1.0410511857264977,1.115361578849592,1.1611543679757552,1.1086412724516963,1.4603087967463695,1.0638322146332284,1.0130497782168044,0.9551281403443437,1.0829130748098683,0.9764525420955205,1.085375679955562,1.0096305713189664,0.8498737978070532,0.8112342059589953,0.870994666196809,1.1591488801255008,1.0218330693079065,1.1559996195148865,1.2992133524875817,1.3873644631583384,1.070326367368261,1.131582655650473,0.9433640028965024,0.9728292744717117,0.9554274651757797,0.9230111036169107,0.9876129772022884,0.9131082612765647,0.9309382013730525,0.9067941746855606,1.008912577397523,1.3114256180593091,1.1739704617674984,1.2111909626616013,1.1825729800410418,1.1339309421349257,1.1086230830231374,1.12686124664291,1.7631357470934343,1.7140734927467889,1.5582842452364807,1.8054752625685357,1.5840458544243503,1.483270432643105,1.5377503675509145,1.8545110682180408,1.8171544274433618,1.7589447368301183,1.8061259805331444,1.7576890519337427,1.81713919322056,1.7765847280241132,1.7438950276879726,1.6895660706498858,1.6840303220708677,1.683372697467515,1.6371503101483762,1.5938679075961248,1.6300605471374057,1.6247740592316007,1.5517013475045576,1.6038868812779488,1.624461231820096,1.5199356093837983,1.5492839137638788,1.707954947583117,1.7673367524739225,1.7269168570123554,1.6904048735594375,1.6429349211518376,1.631763974729645,1.685262028266751,1.9043303245717504,2.0312958001443837,2.216049183020863,1.8935149302455874,1.7816313438678861,1.7804153958720708,1.7401043279404174,1.750305964565245,1.7445194777428013,1.782239067546905,1.824354818947294,1.7227009335172183,1.7591210191658284,2.0122946698025714,1.9024370453634032,1.866562426162226,1.822362740285332,1.7510818979574116,1.8126755895095075,1.788685313057542,1.805630538635954,1.87430691256062,1.8619909895064521,1.8831149264838165,1.777975840190968,1.789641684531241,1.7792029056860232,1.7880296729635126,1.722198091615216,1.6955393942992474,1.7061942641495,1.6320761917323918,1.658759897559056,1.6534209362700296,1.6087569894868303,1.5921470123824615,1.6306842859273432,1.6603442992103585,1.669626596938869,1.704923153757232,1.7591527722746958,1.6780790835855977,1.6863730197711468,1.715367117831486,1.7112071153221136,1.682284683309595,1.7025246072870472,1.802908653164481,1.8325416841468918,1.7481780862234,1.7975984058755399,2.0003340376319128,2.0320803220060784,1.8714770173585555,1.676679778780295,1.9560322952060725,1.7572809084327472,1.7267804043710455,1.6861716974461196,1.6751419674166133,1.6444943213808298,1.778721560257369,1.682823043363727,1.678259980893013,1.6986730107448975,1.6804455164161396,1.6051735262753986,1.7051502967541248,1.5364122041890917,1.5715062337989665,1.546963397559413,1.520745723944864,1.650525622056883,1.616513692669181,1.5510531992083552,1.5098495820884215,1.6891417083373081,1.2838899558544514,1.3871156276512409,1.5334903079131583,2.099924113299495,2.0202870448994292,2.732751325251835],[1.1290612602409547,1.1178626273849048,1.2648654793801195,1.0039830319198086,1.095041764194073,1.0401158355611266,0.941464339651224,0.9560095390136407,0.8654169635319418,0.7385371221175395,0.7096948916458531,0.817593706382493,0.7577527267328105,0.6829969796879596,0.7427693297881561,0.7165256019414169,0.663110354823605,0.7581096904710167,0.9258755758286971,0.8657183370137513,0.9909417009198638,0.9097171799789587,1.6677662010197456,1.5619914724922461,1.5281123972042998,1.1018434549203324,0.8768904634244812,0.795271273805072,0.7565903465049841,0.7246487739760702,0.750322209768369,0.7472366849008196,0.7796883214594493,0.7818940316330225,0.7930475230827058,0.7752828372860373,0.8347831005144113,0.886770644864686,0.8210908499310497,0.9146524336345819,0.9470834095303854,0.9437598873410051,1.0973228589041308,1.3169924376495947,1.3525577137359248,1.8139515834036322,2.2604491911798963,1.5703086853856891,1.6097981672584243,2.201914326186499,1.8292197806502852,2.0751326658917395,1.746600952122451,1.3272544467821856,1.6007150840782782,1.4864648002039065,1.4521581934032972,1.3563227586351254,1.3759821118590299,1.4624674539549725,1.1512426618172933,1.1036096773798603,0.9578824241870174,1.009003370802288,0.988315514457357,0.9317335025712863,0.9488797819056141,0.8557455792889079,0.9139412552784716,0.8516252814633667,0.9505297675541657,1.1453596724925652,0.8969151648368041,1.0758888503795794,0.865481892495144,1.0848954850064028,0.9653646983760739,0.9118672347747676,0.9372053585691469,1.0404262974534797,0.8667224958883747,1.0037679994704887,0.9795330475819486,1.1933999687677825,1.0006172452339885,0.8297408611538003,0.8159923700271907,0.8977926720152688,0.8613285001786145,0.8290982051447812,0.8147225277425469,1.0385370334354354,0.8960094587613275,0.7760671039227157,0.7471525932870022,0.7998548367566701,0.8594764940462613,0.7699260783302525,0.7773253651206746,0.8337433825351739,0.8137195779106524,0.9511903994399411,0.872237952567677,0.9885399552200843,1.0233106984759917,1.1745115928562277,1.3055267289642218,1.2937374879992334,1.3184764838700194,1.2482563172209458,1.215499964669571,0.9985243652968394,0.8741611463576608,0.7215610832021335,0.6997115851520529,0.6809792811980458,0.7733656073696569,0.8022085981872192,1.0028561746391544,0.7860676728381593,0.7982212293872908,0.691281524608111,0.6768801188736955,0.6662331971612555,0.7529235484690675,0.7642925901945509,1.1955534210563432,1.0352779123019846,1.2388497538792365,1.0637944096873113,1.280524167372484,1.2713555245878139,1.0675663187027709,0.9753025525911292,0.9694506279455466,0.784279815227479,1.0444345630215763,0.7226656794861801,0.6441244667304163,0.6851615377550098,0.8728811340364433,1.1537838094929056,0.8919518121843109,0.7892588659650875,0.8225229544207836,0.7581586774518572,0.7297032041886513,0.7503131661701382,0.829791963072889,0.866589961484218,0.9347286895943472,0.9871772669167677,0.9120817521407774,1.370521907303174,1.0071666659363754,0.8865755046438004,0.8412274220705386,0.9079865749184225,0.8301974330296213,0.9078013623262329,0.838621460425079,0.7612252588393563,0.7730506055930438,0.8481682167143589,1.0395665235688978,0.9629899909108024,1.0231894591564341,1.204493373596071,1.130041114232944,0.8852150710767829,0.8890870624222068,0.791527817835844,0.826559617329532,0.8186216109574073,0.816671505677327,0.8368148250431542,0.7861679958368192,0.8341501910651948,0.8272257708265054,0.8685632865325017,1.1632632916897423,0.9625019421749434,1.0182306948091102,1.0445216270136024,0.9935108900185227,1.0564073069201536,1.0270608567789998,1.523266002698471,1.5536414278154742,1.4377932275991527,1.6490855598604193,1.3634800815996055,1.2615863663234024,1.2553694113683604,1.5226949974077528,1.5870433098552703,1.4782289051663395,1.5577234794348327,1.5196144209831755,1.5868414146443393,1.548728972729758,1.5253709705800607,1.4827882788172528,1.490101179835455,1.4887982590310291,1.4684950637370366,1.4537042697297158,1.4828768826595096,1.4698604044106147,1.4450260303033509,1.5169884832508311,1.5376636333618448,1.442049207846312,1.4986594328092326,1.675175305167129,1.7212268308452183,1.6646417289995736,1.636305743257419,1.5398479006579984,1.525292458839683,1.564152835042128,1.794807806963394,1.90164024605411,2.019674106464621,1.687447911791471,1.5545766894566437,1.540157906665531,1.5027055170258516,1.5263892459811095,1.5222431534935954,1.5359482628772376,1.5909556800171265,1.4976017041743048,1.517475145105939,1.8042284655450085,1.690809185061166,1.6396512728580797,1.5946618282446308,1.5121837257706257,1.585345724233649,1.5328368130827594,1.552177015627145,1.6223035983008836,1.6093934710274536,1.6492802112831313,1.5401377626957937,1.574006210768784,1.5713999126537141,1.6001235989002827,1.5239938827166775,1.5090199555227368,1.5373870436803765,1.478969611028229,1.4935693823218905,1.5088460179077459,1.5030378573020975,1.4765340541718541,1.498650098627246,1.5169714820366418,1.4929449769925838,1.4935567825486533,1.5426050149847692,1.500227322140736,1.5083523258056184,1.5050354367011622,1.5255813924803434,1.5264614610483103,1.5084057370402966,1.6012576519605175,1.6872105292662665,1.5979985963269163,1.5879395586432354,1.8285836836549156,1.9069105129911001,1.760069152811536,1.5915153497348637,1.922744494608902,1.7608503656135175,1.7105966161950514,1.6740653374897942,1.6028651991296903,1.582927216786273,1.7645756328327216,1.6331672228421095,1.6258172506666462,1.5586336428541292,1.5195397324604263,1.430648314353403,1.4939098340237067,1.324672680998294,1.4100450360051007,1.3536644614923585,1.3140937644241641,1.480080246460887,1.4763440658350724,1.3966596124692388,1.355716323015443,1.5860597058285226,1.1971788487145316,1.2911758561574849,1.362058517077146,1.9044111153264156,1.8878553713299375,2.671108817835314],[0.8242510552448276,0.8414590255363428,0.9992471170640408,0.7629379130612433,0.9104963247270406,0.8790088358613021,0.792960628940244,0.8150758220377643,0.7474989438280392,0.6634992825751699,0.6291178699923841,0.7195273385541147,0.7008823686383208,0.6104962441194437,0.6786662351242102,0.659450660949882,0.6122727943433823,0.6757542838659261,0.768807360479603,0.7493489313820375,0.8683462764137797,0.9132034528076851,1.4130086391224865,1.3874440187271229,1.286570483493679,0.9104392969962072,0.7606460486164078,0.7042037323141984,0.6936769403658359,0.68031429694384,0.6784384733064168,0.6966448750279665,0.7176199700434102,0.7141565556800241,0.7350760606815882,0.711072645052563,0.7750437724197609,0.8727767362880566,0.7764855024688534,0.9465856418204935,0.8756885104208068,0.8555464573676356,0.9765186611144391,1.1813161656227391,1.3555218056125073,1.801180356277941,2.349340327131154,1.5300021589730075,1.6095858591239367,2.0853997006392286,1.8121636192548725,1.9646422042504044,1.6453173054615766,1.1792944931683809,1.4908317644341673,1.4288775330539172,1.3553025870247983,1.1923723654867102,1.2306306530610798,1.4909312979931837,1.1014200292365794,0.99758821063158,0.8928296491083463,0.960595520536196,0.9279481395609507,0.840685031403789,0.9024622871867637,0.749675382303085,0.7778762977355139,0.7867769547806251,0.8870420831873329,1.1638012984328021,0.8111620565371751,0.9520724439983972,0.7890899987686592,1.0303554518297684,0.8396556875175809,0.8184264019571819,0.8785550909618082,1.0322127442969442,0.8186258135914093,1.0334675084951497,0.9192980463762059,1.1704106712698719,0.9507771197951848,0.7893865974047629,0.7894238596520687,0.8518197959500112,0.786038216241324,0.8017832037103326,0.7411991756847837,1.0068493273984904,0.8286632035860396,0.7118216995341654,0.6969306289312623,0.7497333000349937,0.838767792075848,0.7148272356807144,0.6987928372858316,0.7171574822158089,0.7474245511427379,0.8538909605025015,0.8634050224365535,0.9387521495264324,0.9871146813758245,1.0929876072581426,1.1975724997436679,1.1793610209790362,1.165474385909349,1.1013445562857473,1.0470091125964076,0.9013688861210335,0.772747371191436,0.6876633472529966,0.6767605005323768,0.6472624831712198,0.6730335373610092,0.6733136068088572,0.8407310885152439,0.6931099443981646,0.6954011582045916,0.6190142873278055,0.6123495636141264,0.6333783382301028,0.677630230716886,0.7042508371071187,1.0780822574520539,0.9481750486261001,1.087822057400669,1.0107317404991225,1.1666470576090147,1.1845375387809989,1.076372389183164,0.9858943819121682,0.9737342149043474,0.8395450019405283,1.0131057003527928,0.7529736689684454,0.6286485626012759,0.6539372990009642,0.6884778124076737,0.9894670584314058,0.7696315808757249,0.7049416910368407,0.7469705524664674,0.7120465236430049,0.7003986367419591,0.7363935568840457,0.7939143851626398,0.8147944191713397,0.8286294813008803,0.8877498799138379,0.9033863476726403,1.3016012605951919,0.9552363894597364,0.764672704038863,0.7409022763241359,0.8338088466851833,0.7854117232507495,0.8386276839392939,0.8314463458789569,0.7593401279012982,0.7384013606407404,0.8112824800345267,1.0527318049389298,0.9443380853088315,1.0138805646714082,1.167444443781938,1.1320169083867382,0.8488336885927209,0.897694992262615,0.7916849627348035,0.8405857420013485,0.8336529530217414,0.8167716505496463,0.8380126067122423,0.7966864446566744,0.810902233577953,0.8290049381595973,0.8999459958542022,1.160553569598711,0.9588754786335868,1.0443090201558622,1.0779860941155417,1.0112571729417292,1.0573281669410959,1.0913676714862568,1.8350756343450556,1.7583953261444996,1.5842141700496315,1.8291529293056983,1.5092630778799117,1.3929743325143837,1.3147103494714443,1.5978704642485348,1.6129303239637418,1.3826166558470132,1.4213474115118379,1.3225195309860671,1.3798109134961254,1.3271296563604764,1.2822138691053646,1.237196402424713,1.2322052116411717,1.231578318673987,1.1929383781481002,1.1891623341884892,1.2340686343230611,1.2050262284091793,1.1836421108035449,1.273327430585046,1.3019010667973612,1.1824225397701962,1.264906430050888,1.4702979705204136,1.5192890044412108,1.4796922882265946,1.4758233037012707,1.3572297670809106,1.3457613744362806,1.4344797611487945,1.7308090947337569,1.7884340878115648,1.7743148693706288,1.5121059714361254,1.4066191640277834,1.3781326528048663,1.3821860411128248,1.409361590653124,1.4121269071657827,1.3882555475291622,1.4901785277501813,1.4007700180195033,1.4060581439383188,1.8416285784098947,1.72803219318005,1.544892231241378,1.566335568040617,1.3281085555576737,1.4170549456671222,1.3815174292224288,1.366560908134807,1.4348700378242958,1.4070056377627116,1.4521643055562414,1.335805065625689,1.359868709228969,1.3331784551341497,1.3446195590829497,1.2595474601035737,1.2369026642988696,1.2601433412113106,1.2033707473269055,1.2276882212472462,1.2256578497128443,1.2475483496924265,1.2239693051228722,1.2494207168707365,1.273295969366533,1.2602866455050008,1.2666528907161618,1.3297843415631356,1.3093182179299807,1.287914737518272,1.3043555386828671,1.3543941668775346,1.3529008294709641,1.31986987199223,1.4832309987285601,1.5784896242767836,1.425304460281684,1.4539999399560226,1.7620434300002228,1.8002096509155854,1.634850398180529,1.4284588581142716,1.9029145589823004,1.6702801832471348,1.5783559248685677,1.4939296220956755,1.3801442851018153,1.3501433318113472,1.5546371867060318,1.3991700027208105,1.4103226273091036,1.2964754125488216,1.2627964547451622,1.1738430724972104,1.254896850675711,1.110255665475238,1.1614542349493029,1.1295281939738986,1.1003717057451612,1.249604916324175,1.2150365579003408,1.158914070786215,1.0843498193445595,1.3090570801623356,0.9391822298983402,1.061963330075197,1.0373478732992119,1.5536231574006005,1.6017869525521427,2.5399541583795404],[0.8575265001446417,0.8231357050425654,0.9355784036765522,0.6901417435291851,0.7213381084507353,0.7127172062658335,0.6461133489262958,0.6654879171603646,0.6251410350714133,0.5657196592287935,0.5658162962302811,0.6535018758137128,0.6449244923458021,0.5849604602228589,0.6759433505078238,0.666234150427301,0.649443844576434,0.7594139839966637,0.9104123096028396,0.8949630780750955,1.0009683402130662,0.9651014365048209,1.690721307534667,1.5585150371683294,1.5253451467735006,1.0892640124063369,0.931829862151422,0.8307285071170766,0.7936342920886988,0.7299679229631469,0.7478325547403203,0.734818216006298,0.7678472354345963,0.8048883766200311,0.8350445481689432,0.8181520825535561,0.8746566715914482,0.9481170298969983,0.9161841122737023,1.027424275025448,1.0517236720387497,1.0069129116711495,1.1834081448309284,1.36728412241786,1.428852088130762,1.8989581462881602,2.3412613613882467,1.6526636088088702,1.6627275199820384,2.233361078684922,1.9394156767623412,2.2376758911876973,1.896709657135979,1.481708573173655,1.79416141329074,1.6422540138667339,1.5541570477484576,1.4998502527208433,1.5405717231153544,1.498885148998438,1.2304955334103884,1.1773695708563303,1.034365239840496,1.0507280818502056,1.0419687820856025,0.9938971751179227,0.944133579401775,0.8684962292626349,0.8840523405245578,0.8285809405587208,0.9055128541604782,1.0848097798663154,0.8570866479760728,1.0398905274499433,0.8727525391090784,1.1274431777502019,1.012961029165347,0.9710580509806288,1.0011076028917116,1.1240242303762662,1.0006531359341564,1.1425089445087186,1.15542159536839,1.4243840828881116,1.154590355459436,0.9644611346644352,0.9270713795357933,1.0008260814485928,0.9348073680796746,0.8979167921695294,0.8558783918978562,1.040510708922497,0.8902265160992983,0.7651566766896858,0.7134618574980287,0.7438433955963523,0.793027105533905,0.6900718848694085,0.6603871403781668,0.7175870466352662,0.7299813941687886,0.8325392454347731,0.7840190605814583,0.8217387164698545,0.9374171978906731,0.9592739628900487,1.0878988389002835,1.0773381347765485,0.9844221703062187,0.9500593404028956,0.8919527115355267,0.7688457580080608,0.6409786140387659,0.5749952496707074,0.6045871733762975,0.6563895631909857,0.7856340518763993,0.7965871366871654,0.9591270798594668,0.7794544699227902,0.7651006295124695,0.6522402533530653,0.6197610917200636,0.5486243809917596,0.5225737811928858,0.5562259945223834,0.8538967734562165,0.7303285177547356,0.8900785577027147,0.8975321413527994,1.0102044507280672,1.0950231018358139,1.0518180660182075,0.9889879033328607,0.9697315872588403,0.7948813974915915,0.8358333925472483,0.7187055957067895,0.6623257546852108,0.7654603842962614,0.8915634479991131,1.1901545900312795,0.9357773081359461,0.8467839341627016,0.9149173732990663,0.8029950581477865,0.7555209889121433,0.7055677295985427,0.7071117986170523,0.6577809864964548,0.7022060100740132,0.6953315016853908,0.7480407960189581,1.1879928723161608,0.9294481948163184,0.7076107852178916,0.6986746294339773,0.7367974739708287,0.732279502458878,0.7996848965358103,0.7949088708896108,0.8215563811735674,0.8701480787873148,0.9676560305006777,1.1058051452633162,1.0952173238740588,1.1693752092083975,1.350462340894501,1.2039700585465833,1.0538029649663114,0.990806162807036,0.9104404175413012,0.9669870461507427,0.9410703646892542,0.9221297928965244,0.8716495839020456,0.7967117836679641,0.9025502053932435,0.9455217971545489,0.9668727094942957,1.1444834108752178,0.9441561532077191,1.08621569931257,1.2152042739122066,1.1392564922669715,1.2340520235076642,1.137906256279005,1.591495849169188,1.6427744139209517,1.5615558906320424,1.7608831782716203,1.410558349850702,1.3714927292116128,1.2941679615088664,1.4091850793808645,1.6106123865615087,1.2506948631884023,1.3064106752096405,1.155200929396105,1.185967711369124,1.1389472178936018,1.0898968553646673,1.0396615471346744,1.0338265606947081,1.0438102662416355,1.0183913080238045,1.039306275644462,1.1009743873588576,1.0670010741495664,1.09177060144365,1.2132211324410735,1.2621897436279144,1.142585634034153,1.244797973749634,1.5033701626293783,1.5222581233028973,1.4775099796941396,1.5060639076899578,1.3156132436576864,1.3140163841246522,1.385679234191936,1.6979990845113577,1.7028042064881197,1.556269568808975,1.335072374368382,1.2202424017166482,1.1756647946431973,1.227388900709346,1.2580323175409365,1.2308794552149847,1.203851092649454,1.3220903247651312,1.2199963558103102,1.2218211061904627,1.7049898411008024,1.580358288153871,1.3292672526103622,1.3861662371950803,1.16035763060304,1.3142826798951652,1.2054134803641883,1.1491702606796632,1.241186731252973,1.224970559827916,1.2491890030926416,1.1406030439308823,1.1778661325411903,1.1415135589866632,1.1788872991992274,1.064975546646615,1.0490707321506028,1.0730425082758805,1.0472265329932966,1.0789113638641605,1.0923925363870874,1.1542868266855626,1.1609154311551162,1.1911081161719814,1.194039166366351,1.1444220075529625,1.0842157485665593,1.151233488806465,1.1961710008714324,1.1412273047769432,1.1301056569051033,1.2120230958823488,1.2508665033257396,1.139155936602909,1.2989901654891172,1.4636712147528692,1.2870549363000183,1.2340567647695067,1.6108903476492444,1.6958365547474286,1.5466377529987216,1.381094322299152,1.9551985954900863,1.7278791963997255,1.6549893953884827,1.5391724684011987,1.3277848111953277,1.288345088802743,1.541863449153136,1.3565797667244546,1.3831562345589923,1.1003264571100937,1.0925804063958378,0.9799503106590615,1.0603544286958213,0.9058576240047886,0.993393179327394,0.9494424456624512,0.8892957734960527,1.0363309667997973,1.0604501668436963,0.9832974854513632,0.9098242793019237,1.1562484654760157,0.8703998357815377,1.0308258521164804,0.9393495839027218,1.4024476726437605,1.9176932303767136,3.0358099987900626],[0.6957178318496373,0.6816435711078446,0.8159527394016814,0.6091898584538195,0.6528673235427476,0.6291338612535925,0.5711852980093715,0.5817991656464473,0.567707901384849,0.5094755407171381,0.5104725261688176,0.5837570620540582,0.5807908193267979,0.5317459377456438,0.6254571580474094,0.5959617104643941,0.5754537419286117,0.6561866210398672,0.7871435371677054,0.7503287887715034,0.8408811005046011,0.8413102198856783,1.440551063744487,1.3570196256798954,1.3698758469478587,0.9430731839685769,0.7841431054276496,0.7171478038341198,0.6891727683499494,0.6290032854908544,0.6412250815924238,0.6259690781804067,0.6543164508160785,0.674344909720539,0.7018241840176564,0.6905114091873552,0.7504299426800923,0.8302686427824909,0.7697234736531745,0.8900928574304392,0.9038711327864295,0.868413389895459,1.0213530036625673,1.2313956660278567,1.3240959717936822,1.8159438047691523,2.3060137149335462,1.5261418556016424,1.5771711286260834,2.1453551863913116,1.8187272972712647,2.0840353883487133,1.7251952235310144,1.3136254324331986,1.6080109364420012,1.4577548946213696,1.3925530298041517,1.3112067380452475,1.329835342437859,1.4234022737533967,1.0841611517170555,1.0061183651771257,0.8592224332457401,0.8899165482739011,0.8835192963011296,0.8179212079922108,0.8342776431103064,0.7202597704069724,0.766434542139303,0.7589284832578063,0.8522684867842182,1.0695795499717118,0.7808309998252873,0.9255876437135988,0.7336403017762065,0.9979718957215473,0.8418342189547976,0.798370796887915,0.8495065836715258,0.9765334790988955,0.8226960491336244,1.0155074957764452,0.989391412865756,1.2558984784643827,1.030059023257975,0.8167765530105252,0.7747504453223899,0.8563825600688939,0.7769619667737229,0.7572687750156599,0.704392269757358,0.9566206514955041,0.797504876038747,0.6709042312286774,0.6316673554089494,0.6947774129998544,0.7432974005643295,0.6047365379175925,0.5695683584280292,0.6366814817629008,0.6234401687765235,0.7305931445275752,0.6903933796969072,0.71956025097831,0.8174095836440015,0.8572240499826033,0.9832218129404682,0.985858968884284,0.8706589874547196,0.8479697013155577,0.7884646405336756,0.6858800010410354,0.5751399918605684,0.5250562875368784,0.5478931668217069,0.5907652966237259,0.694892336968724,0.7043611332690982,0.8636041800657541,0.6906914752395199,0.6896638254482114,0.6071391136476829,0.5838850435578818,0.5113312014506117,0.49247136333076896,0.5031354892282778,0.7914777571838947,0.6583330850346519,0.800724937110888,0.7774809900888834,0.9177703377731325,0.9910901406580086,0.943285897135155,0.8630066468673528,0.8458808574925162,0.7132732613347412,0.7673118851121102,0.6650117160796923,0.6086976275238462,0.6679398798240404,0.7746974856691249,1.057078226601361,0.7985706140781892,0.7251702417335053,0.7752429992061279,0.6932063934685663,0.6672637958682041,0.6332540944414403,0.6262081198958067,0.5897622992712807,0.616533908039627,0.6278220999828086,0.6803710088525812,1.161702485095567,0.960877797846148,0.6071920838736524,0.6069094558133696,0.6406675594950717,0.6415538566308711,0.6989480784821266,0.7051160551634278,0.7013142389888375,0.7429272213668892,0.8291834950466502,0.9743554461308659,0.9621631920980953,1.0216718400508367,1.2124287834853282,1.1014249026494887,0.933807875234152,0.8761973262972984,0.7964752122111521,0.8316804957280033,0.8055940905985954,0.7974877461432133,0.7535600075956149,0.6912392371361478,0.7664202496534461,0.8204176117580958,0.81127588706336,1.0450354389638252,0.8253142156688541,0.962931673322423,1.067854602919132,0.990892222240769,1.0777958559408232,1.0208899944825522,1.5459796632305505,1.6141950380309436,1.4867200031457326,1.702145272487319,1.3579254693071567,1.2826164785456005,1.2050089953449912,1.3237777301213647,1.5152121174051585,1.1790746022059382,1.2113627682946722,1.0466474561184014,1.0869946699260151,0.993380159821645,0.933817566071127,0.9001861014465357,0.8651272869068909,0.8648881606346492,0.8486506769768641,0.844058410973002,0.8901942220694083,0.8649970436096197,0.9018187672449328,0.9996411965428217,1.044700201604802,0.9580406216601154,1.0605074076294319,1.302251362736749,1.315117238027435,1.286646568571006,1.2645496165604415,1.0773948307289183,1.082597821738858,1.1795846732744668,1.510119973342961,1.5123661470389467,1.3834614823098035,1.1384538749596793,1.0414919218651504,1.0207324947494787,1.0755773011615903,1.1100072970937815,1.0639585264314124,1.0774054659300265,1.2182367932527984,1.1023764907228737,1.0965707241179958,1.5821368202016897,1.4947499474221715,1.2164268449130695,1.3526862725122375,1.0290016431098628,1.2118035196899088,1.0938594034891636,1.0124113795110354,1.1195321706959978,1.0800119572128595,1.1212229154133804,1.0022823763690607,1.0129439602136605,0.981676457064014,1.036706975512393,0.896844103545091,0.8773936852853733,0.9110141321614323,0.8697276063513435,0.8841209139777559,0.9028160698656081,0.9897618045926135,0.9617015303399858,0.9860262773990617,0.9774011969364291,0.9419539811496904,0.8921302013241549,0.9591265980104009,0.9791213097238382,0.9211067794696854,0.9376564032552234,0.9967519968623915,1.0269465558319777,0.9403902249125797,1.1052600294285149,1.2525944385800225,1.061721858392516,1.0555776109645538,1.4042157498911645,1.4896220496407666,1.3433247692723438,1.1411907796468592,1.7703452869994087,1.5392351682916716,1.4044007176334585,1.3147517730718696,1.0984410029957516,1.1020659595608435,1.3472135033762678,1.105347462367782,1.0818306494386196,0.8559508049584561,0.8722746129426183,0.8484527021781708,0.9418146216799248,0.7918584323137259,0.8728375760451698,0.8294285164281928,0.7589533663767066,0.9570543578855851,0.9687994166598928,0.8548160930796075,0.7934599500882262,1.1098595755574445,0.746898075746902,0.8901217793336127,0.7853388634317509,1.3307310462041662,1.7526022235610472,2.9392734958392497],[0.6603154614351833,0.6578418703897061,0.8167595173719955,0.6118868345405435,0.6864730768679482,0.6576587182012483,0.5986893450424048,0.6191041824240601,0.6015007816048427,0.5509610325811899,0.5445658665767452,0.6034972855141305,0.6089767415444267,0.5588183861198995,0.6380522301237171,0.6109903794856364,0.5632307663252655,0.6452839054810022,0.7477979834772025,0.7276737970529766,0.8275489568485307,0.9217736194086812,1.2890625175768615,1.280788220048345,1.2295536538492784,0.8701234779221476,0.7134398495487588,0.6839992835485684,0.6702094849147215,0.6212854046723364,0.6490371011278786,0.6257499059645224,0.6604062902657063,0.6611336127386949,0.6798214847893206,0.6751432991728589,0.7324463234043694,0.8325825134160566,0.7500757229715751,0.9350120524503232,0.8613347591619962,0.8284103152883338,0.9564053515744014,1.1800950439137652,1.3973083181374713,1.8592373796982402,2.405742864517856,1.5390184614678875,1.6048421776402124,2.072843718809036,1.7999402780222262,1.9774202651334405,1.6015305197391383,1.166842811363211,1.4612671721383652,1.411991530461529,1.3382873106769417,1.181783834274789,1.2275160794547557,1.4716796896721123,1.1039837891614488,0.9786007652412196,0.8621702544205828,0.9308320492765565,0.9155480193351467,0.807205832776815,0.8775309101044755,0.7136702768880135,0.7557064182703442,0.7675870114921599,0.8768530928615147,1.1429725624087812,0.7845474571936661,0.9268939025180211,0.756756022974246,0.9758918434887217,0.7919708963124891,0.7768205635167494,0.8364958879904455,0.9924012190713868,0.7930041128316819,0.9955842659479559,0.8992039539493545,1.145315310080491,0.9338315297597574,0.7576087980102278,0.7441230485776363,0.819294345827319,0.7530595254819744,0.7369447186439132,0.7134226690522057,1.0060162813121358,0.8363610985495115,0.6818990189735347,0.6563519573547804,0.7248200478864487,0.779385524583918,0.63700479442449,0.5968840693930346,0.6337704187797553,0.6440487943898568,0.7489865561238337,0.7167360871899214,0.7665871443289404,0.8401219256622374,0.906389702920837,1.0198481276827072,1.0104081490287227,0.9204671994829967,0.9013765246260194,0.8374080880175603,0.7207355422620733,0.6036207255217543,0.5490597918706827,0.5834712014166602,0.5883706193125827,0.653646058131634,0.6485605377787877,0.7953658137713047,0.6655831676855568,0.6644544431188368,0.5914794327833044,0.5688761126881227,0.5666638968322153,0.5591022733319748,0.5479061323664844,0.8432632702343413,0.722039824581051,0.8572671734834413,0.8126839274226387,0.9649024239961553,1.025959276954502,0.938313370966921,0.8569726868589246,0.8270711604641081,0.6817081137980181,0.7825674875044054,0.6215661906187698,0.5582165173543251,0.6204311231315062,0.6935046966206928,0.9817707579766713,0.7569646399670938,0.6772434965791224,0.7216353928738515,0.6701681315619851,0.6445332524419063,0.6395309397094703,0.6508276318385812,0.6352698973003691,0.6458448600454331,0.685013319511809,0.7073189790271288,1.1899610715006965,0.9444776752345835,0.6277107910761672,0.6225410613030277,0.6636426584672512,0.6614846753170707,0.7060825663072895,0.7069169622199188,0.6784350923225261,0.6983293202084166,0.7963070006805032,1.0298759245987363,0.9491642185612856,0.9909270163508721,1.1795123358841069,1.05262986863726,0.8258370918498025,0.8110353454422966,0.7340365757773207,0.7784669805996379,0.767117725100021,0.755074029311305,0.7416596314997894,0.6878472419871383,0.7420899950206461,0.7672537087709153,0.8092380391498413,1.117047686029852,0.8369755321427852,0.9593565477390817,1.0398967777304813,0.9701279018323429,1.068819371464439,1.084776332360166,1.7966624779541311,1.7863227430405226,1.5917592229038582,1.8145366233858131,1.4163278098997698,1.3048980818709028,1.2023629132310458,1.4298652082370873,1.5443006568945024,1.2188200635816924,1.2633121074426186,1.094494360220714,1.1472586595105834,1.0471378450755089,0.9876913452567898,0.9511059285833908,0.9017163319255485,0.8957157694217907,0.872169219551722,0.8533070878151681,0.8929316482077786,0.8718723455845677,0.8926917216680622,0.9750951434117789,1.0202522515999477,0.936640175861121,1.0228441673078008,1.2648829841479923,1.273540017082371,1.2680094763990273,1.2516741612262565,1.0761800441909886,1.084360633649035,1.2097518232183393,1.532564043658346,1.5549024156172668,1.3931424026802932,1.1771167066492707,1.1015054150497787,1.0730833651476916,1.1520386179969533,1.183576851579448,1.1272475232173558,1.1409468156514122,1.2894817890433616,1.1667438422107532,1.1649540838401562,1.6712142927260911,1.567076173018348,1.2871595115348475,1.375667352002299,1.0871427960873903,1.2619062356762667,1.1522342537313202,1.0670188838665953,1.1673060193159626,1.1260200830813891,1.179138932768995,1.0515613558428967,1.051435561962538,1.0244190382667873,1.0832096055250917,0.9323499289915996,0.9055118941756571,0.9381188575596251,0.8871348077832742,0.8975611900554532,0.9111727327812787,0.9828213314573337,0.9554051157406588,0.9810308235709718,0.9773376911059763,0.9557179416463181,0.923940110207499,0.9949314368665534,0.9987996563076793,0.9381386837791994,0.9734540148438882,1.0303339638139926,1.0470864936909927,0.9792935684685448,1.1613924616973699,1.2801904981379728,1.080387261758507,1.1059405083023621,1.4689121073825062,1.505803615315328,1.3505017227157976,1.1374744198314288,1.7946803971755496,1.5243502914812352,1.3874495222490446,1.2713427010537162,1.0712065024798298,1.068122753892175,1.2894699502801161,1.0658049452965677,1.054282745747769,0.8730043840353443,0.9001893932712044,0.8800093876148732,0.9948646666225242,0.8417657072536444,0.9020377192849822,0.8724373091371589,0.7969922722960763,1.019051112456088,1.0114247092139632,0.8732085057415445,0.8205298656876203,1.1582263336787162,0.7442771858872828,0.883539198853917,0.7832561891387222,1.3786623928013035,1.7365412742250108,2.972700788687948],[0.721835200526112,0.7380904619460795,0.8919266047157342,0.6935424087781072,0.7599095973602357,0.6876439168125646,0.6414516845917692,0.64981698542301,0.6252519992693493,0.5818261396362909,0.5712409147257199,0.6370509348535995,0.6621725438044073,0.6015473952734057,0.6816491488879457,0.6612169304726137,0.6191172322107774,0.7046366831354943,0.7990061804678705,0.7979503262681381,0.8908264847768782,0.9987045502181716,1.3050036144703023,1.3004513708937482,1.2737013456853425,0.9238602077724414,0.7928697265818399,0.75516531378056,0.7401415397471509,0.6943977529350815,0.7151990338319798,0.7033134656204011,0.7292165897673202,0.7353758150199701,0.7570091094091885,0.7444771534452993,0.8265562610594323,0.9272456711598033,0.8463852243063206,1.0231223146048622,0.947325110303513,0.9162241735113915,1.0756550392947586,1.3108186819958982,1.487220457355614,1.9082231966862193,2.4644158695251654,1.6428632504861493,1.7243107659627883,2.133551515827013,1.8940897859405452,2.095450753853687,1.7073915425901838,1.2660156844328552,1.587533291175135,1.5163965768568228,1.4379850307115405,1.3129405980261393,1.3619502077492849,1.4780820681283366,1.1653285194146878,1.0380663161454993,0.9300047528242517,1.0103000678247536,0.991124521185156,0.8806306878404292,0.9358168270245963,0.7773370043330624,0.7990837937642791,0.8043838103422495,0.9070367526018988,1.1714919289022696,0.8280703751226909,0.9450939348390709,0.804156164711512,1.0063447119912063,0.8597065764562228,0.849445424414489,0.9060803486428952,1.0547365409910892,0.8776503241715544,1.0159169777451655,1.0562221419773756,1.2972296184100498,1.0746489327178217,0.8806774882621823,0.8391689789759086,0.8971812755328621,0.8303911685501353,0.7919014739078257,0.77323530357562,1.0650095267706277,0.8997199568723827,0.7406732444100005,0.7016063237063049,0.7745288002683045,0.8088420375875619,0.6782700491440882,0.656147047384512,0.7456827083288751,0.7385778210595072,0.8728733000859978,0.8150340871959852,0.8901607515208043,0.9901614094958057,1.0276671952965586,1.1758359147476614,1.1861878817848888,1.0771775544844553,1.035659064995532,0.9467728669349548,0.8422044630508547,0.6895039331548432,0.6371748481072695,0.6364906329444538,0.6533762526655439,0.7257227812225178,0.7097661676128912,0.8357479043008551,0.719677897291573,0.7176294827824614,0.6557516307364366,0.6290006287864542,0.6090373723208851,0.5856310484266393,0.6184615505816384,0.8928215044421286,0.8092277529374439,0.9912066149520423,0.9794735566775747,1.172552618599316,1.2578422077613776,1.167476580663734,1.0767576213835235,1.0347772903193033,0.8059795735883029,0.9351384921473256,0.7401765740635766,0.6486629736989616,0.7140720753213825,0.7641582756822091,1.0250103721959725,0.8218916054413026,0.7609959176203634,0.8107940146424037,0.7441253468356472,0.7174313103011493,0.7117043685165716,0.7444068997590003,0.6993001082716259,0.7500186976996986,0.7003893951080007,0.7465679349983734,1.2503375119287636,1.088259244087709,0.7197215992513779,0.7133390421968119,0.7688622324099131,0.7576622114216853,0.8449339346471039,0.8229904874782742,0.778269045517994,0.803034839245552,0.9058478642141605,1.1477912875086023,1.0376406361804753,1.1715454016525049,1.3345616077033615,1.2077620077254132,1.003219685175943,0.996638972615607,0.8852074166192412,0.9335250299007978,0.9201518015810507,0.8957045321167348,0.8914984570556606,0.8061514199707275,0.9126404036468686,0.915325024633367,0.964505725086814,1.253520713813581,0.9950241424543088,1.1589699172514971,1.2590595094039165,1.1488906905520069,1.1952107560281495,1.1607208972547665,1.8440868275582663,1.823030495937749,1.6516686531984113,1.8650394640489207,1.3868654838957957,1.3642775775460863,1.3087677696765654,1.5431838460107263,1.7963977450226043,1.449337040770827,1.5108420155008349,1.349627259917498,1.34347261571719,1.255959049558076,1.1492752296046405,1.08798915191503,1.05658877304081,1.0387679037721935,0.9793384487002348,0.9369164877223387,0.9950249085819618,0.9626344489626859,0.9416600294902119,0.9980485472190693,1.0554652546329135,0.967998405106792,1.012168879589835,1.2802178213609257,1.26234365675104,1.3193487125813974,1.312414711242849,1.1673013102061174,1.1962066861443155,1.379982945648849,1.626504767038936,1.7251049910323482,1.3972659311913378,1.339727634455472,1.3506551789858172,1.328892864756505,1.445861092749474,1.4681163979883534,1.4152659916235892,1.3873247494037315,1.5141317852269176,1.4266780674531374,1.4596363824482368,2.0419572747847154,1.8962622347399456,1.4919888266125998,1.6880568725660818,1.3578076413025457,1.5593512547968233,1.4180138700750462,1.2937413693982314,1.3672311550285379,1.3307612785240082,1.340772226502847,1.2436405302196034,1.1908056099702926,1.1548923553000272,1.2101222849671083,1.0444499234218079,1.0014876940807649,0.9977606699380868,0.9567128201162821,0.9878771540660426,0.9725472908599919,1.079264816539551,1.0174553950790142,1.0802536521152348,1.0892235327720292,1.1067546354489408,1.045950511101058,1.1394862773675718,1.1487454331104503,1.0617962276651347,1.1618442319421036,1.1860928586890598,1.1789517003035406,1.1344880970792184,1.3231397689268953,1.3775304985225838,1.170360010177299,1.2907215388294064,1.6023060863271688,1.5234981151866254,1.4146159102735232,1.1955475173911654,1.8951482856613653,1.5532390789011867,1.405341802776948,1.2639953997028655,1.071657192527902,1.0601809282776282,1.2319031106761955,1.0228706000761774,1.0559464367589542,0.9623004396288153,1.0297795197705484,1.0417473410294311,1.1640153107556352,0.9467479554316061,1.0010630103086935,0.9728897411198788,0.8855388330434891,1.08235496997279,1.0698131373030542,0.9041585897203069,0.8502422202848208,1.1567590318370518,0.8287421348502926,0.9932675252018268,0.9659751498135212,1.430304247096962,2.2054571676750427,3.59173964841105],[1.5188708489108542,1.5166937863281158,1.5096682158599954,1.5996896932823514,1.5298795582127676,1.6469958074118054,1.6664894855897663,1.6258440247227988,1.786145942630298,1.8618910345422706,1.9228089504645627,1.868484509232619,1.8658222207183357,2.011974486783048,2.0515517095344586,1.9301309233521686,1.9317126881542175,2.028629680981663,2.166753764183637,1.9958878410579868,2.0633107608136827,1.9795983246259874,2.2548532872850715,2.2815564992556805,2.1800183876839867,2.11844305419493,1.9390248242149204,1.9474150381176012,1.894361249940509,1.8294569236795963,2.004444020142302,1.8334518569758194,1.883884735655255,1.8903784407451119,1.8219700843055835,1.855600352682063,1.7563356437970403,1.868773601100953,1.723556071623487,1.6653331562907017,1.7639983737073914,1.851369523206784,1.9463557441440258,2.1460648278856156,2.1814171571271115,2.356648852328214,2.87641840481869,2.27046136141946,2.416155876687757,2.485762544328511,2.3285768673676848,2.418083174362401,2.1677772100175394,1.7918451856396793,2.075899237207948,2.0197154119358607,2.042034814491141,2.060022068875049,2.0108620969829687,1.9353350018722741,1.9136974952164552,1.9074739859811731,1.950383798960398,2.035907268668693,1.9624534752624243,1.962617616847416,2.1088579576247266,2.076203415773136,2.247807587006118,2.243952963054422,2.3531647872173522,2.623835570613048,2.3300766188148536,2.3043206133362224,2.153276729662122,2.1908884938774555,2.047279508835657,1.983748749855656,1.8869308660680444,1.8699943025102264,1.6643068933923575,1.5544400107056202,1.736554234407923,1.851451840057622,1.6978314923782702,1.658268931583668,1.707813093573103,1.7158134103953269,1.8710892268662762,1.8444638095744061,1.9545834107670257,2.176014518844506,2.153171296357488,2.0303653348466666,2.0228751845840565,2.160856364743346,2.1547887711043257,1.9271187325538104,1.8539577357650032,1.7942233042063636,1.737308078369841,1.633351070798972,1.6094911181922134,1.4907546015294142,1.4295306768594873,1.4588875792638578,1.4636706838043803,1.4332733113271825,1.4227645385088104,1.448377211380933,1.4861594835411933,1.5124948815862493,1.6075612150055296,1.6478158804832161,1.8201021208184676,1.8735346144266276,1.9879388277935914,2.052029422694137,2.19784493399366,2.1162878812141597,2.19296290081925,2.074436283082902,2.063815488051589,1.9345876103235597,1.8151440183792118,1.645056444303099,1.661984052340721,1.470490293033689,1.4536512172174145,1.3763371879630537,1.447119546419568,1.4692505851374948,1.397363488956791,1.3693245074711389,1.3806652468514669,1.363734262796494,1.414552148152961,1.4949748424488727,1.6709421216759013,1.6947256690945152,1.9114013088771113,1.9706414592314403,1.9333560684732705,1.8430525353519678,1.772852320506276,1.7723317474860238,1.7557394866691929,1.72185996165499,1.6324640068498366,1.6606306058722602,1.5633482435292174,1.623416772732516,1.5056467490645675,1.9120956506293367,1.988680077428419,1.6860029257623257,1.734000846775337,1.5877716221541036,1.672837398084749,1.5466159905705392,1.561080885187871,1.636976034570008,1.6356301742238704,1.605857764852013,1.6521569163734529,1.5474417046013507,1.5209960312567683,1.605028456545804,1.4545237822179233,1.450922859945348,1.4230188443195908,1.499255886469249,1.4838461583418272,1.489009331726717,1.5279174538013172,1.5036666772670115,1.6107785804773684,1.5591703870812386,1.541153483593141,1.459130209670653,1.662326042404679,1.4344104299767393,1.4426906925537395,1.4914030529941433,1.4626687738611504,1.5705539914750908,1.66812735234876,2.249353162533767,2.145270321713698,1.949909884370994,2.1165938598754144,1.7080161414760828,1.6180071602000559,1.5028565272725443,1.768953297570858,1.9134952025472118,1.5965298136193784,1.643139746511968,1.5193525609970706,1.5631428905491724,1.4874232251109882,1.4236790630969183,1.4116311927297815,1.3529926528815137,1.3422280006751808,1.3358421018859121,1.3081922754120034,1.3292505473703937,1.3182255219006522,1.3717214678727492,1.3761785807250695,1.4085253219618759,1.4111236204912043,1.4583080264675077,1.6091908907912795,1.5625598375210281,1.6237004454784394,1.6161072987965288,1.4914039959395309,1.530198242560513,1.6844540451039827,2.0154753426041947,1.934813066308678,1.8773849937606164,1.7195374446455465,1.6795035420345006,1.5774041615537515,1.7487432249043426,1.794967532361857,1.62448277115072,1.695715080089311,1.954719175646826,1.815209754863796,1.7013350977043213,2.0657338453340235,2.0745726641260163,1.86177623522171,1.764712411364615,1.5595556803451207,1.672396894144872,1.6171287322222008,1.5114577202593782,1.557558481605291,1.5538360855081599,1.5641882249266392,1.468996616925959,1.4687521242433526,1.4516277810578617,1.527386002811884,1.3626393207376795,1.35549508257689,1.3973902030636485,1.3609794240345847,1.3377753495865505,1.3458010170667372,1.4909430091502207,1.3778795914257898,1.4075217839377467,1.4173037316614745,1.4277737032469309,1.3611382489948427,1.488147419441221,1.502907679342064,1.40110284131428,1.46862697535414,1.5681800161513533,1.5426909331245784,1.4708225950245557,1.7460975192204367,1.826149217107232,1.5525727973146075,1.6493423957471032,2.049371884969766,2.021913145040201,1.8270996599117528,1.5185357051341755,2.1905183073130603,1.7576609994549997,1.6802916295868848,1.5290605508381707,1.3931070454012728,1.4691989521317543,1.6087814731222956,1.4082858061365555,1.3798896297369607,1.2937992892619414,1.353443300098511,1.3974801108346686,1.456739707083082,1.430891833771442,1.4858491751073621,1.427619503039166,1.3351886509706898,1.656546143008,1.6305019701018009,1.455389008783906,1.4586753022641008,1.804774312861309,1.5979701784869975,1.6225946477278346,1.5743012644588408,1.7748530714468707,2.391076498650844,3.655236950454851],[1.234344032213223,1.212004552385728,1.2331432075765463,1.0849414771409098,1.0059852033941559,0.9838661633824565,0.9330573209674323,0.9272556560599065,0.9079463779494181,0.8265137548471513,0.8241927549466511,0.8597252975893216,0.849080462656863,0.8203533080043041,0.8682805023831925,0.8513699119739069,0.8063907934052363,0.8814754687725775,0.9795529428610382,0.9885393991640515,1.0844557326445408,1.2094136797012307,1.4219157311619006,1.4344819279649625,1.420177916044329,1.1080924542112471,0.9615194787410046,0.9501945357230743,0.9172496152101481,0.8773246544648875,0.8943125102770544,0.8821709679714888,0.9160427631548465,0.9227890524257418,0.9389000649079442,0.9357625807515396,0.9966424321221328,1.1175190976283127,1.0422888655143643,1.2515154947228968,1.1444189901295343,1.145040416751225,1.3094079533383913,1.5413286041124818,1.7071643023182008,2.067359481579343,2.606946729203213,1.8834383938159232,1.909041346927379,2.331214025126665,2.170289366129168,2.2709342872851703,1.894100951843673,1.4548475403465364,1.750803868032535,1.7687644318280784,1.6499921179784403,1.468325725377918,1.5505433046007933,1.8276359196786172,1.4318802249564249,1.3021963799368093,1.1386152235857574,1.2271815128097583,1.2367533964053108,1.0940884353029385,1.1426709704324058,0.9786179524957217,0.9583158821508941,0.9618923360081303,1.0680997186901444,1.335643064525002,1.0001451293767096,1.0810271732651975,0.9835047483524554,1.1800466865279833,1.0299835287600325,1.0258104514598636,1.097535934549117,1.2349167727382881,1.0640433207249547,1.2129545617775903,1.1737437794633672,1.3409128161821715,1.1755766482345145,1.041669097444271,1.0264940051018043,1.0564776479807083,1.0175502399116174,0.9497877283660271,0.9565636270894253,1.189734541846802,1.0477335476414849,0.9086796440385034,0.8772046855031934,0.9619593920262289,0.9912313188974516,0.8815658637241005,0.8765181893769564,0.988632246623419,0.9463716633438191,1.040700780456944,0.9884941005471586,1.0551071602804105,1.1427816924453675,1.177918871998567,1.2984331288382014,1.3014483784853366,1.220094172142066,1.2059870710658824,1.1279623762304096,1.0200917692602613,0.9234373854859601,0.846220425731999,0.8265711206988565,0.8517494581935675,0.9183047919687164,0.9140843286833099,1.0302458175988818,0.9036518808281077,0.8971863725560195,0.8574215683076306,0.8371352973572416,0.8355148469720012,0.832049978276905,0.8457648975443113,1.075604615854609,0.9865771842720317,1.1339403282453309,1.1019528702014745,1.2755733104891347,1.3654685871459824,1.2763398569626454,1.193942718682594,1.1443444882664329,0.9180295395726253,1.0617312646539054,0.8868947352007062,0.8313450555668582,0.9098358460992872,0.9704436969581006,1.1623195980876961,1.030688277504768,0.9523171951301904,1.0043187525855508,0.9246345258588017,0.8919342698907564,0.8939732752538915,0.9230618753952395,0.8967008895023894,0.9637753351724073,0.9149944546104295,0.921448345609011,1.4445698783448535,1.3349761404387925,0.9509132086455382,0.9305368123390636,0.9626798732417255,0.9337793414743312,1.0164760938741484,0.9840169322632578,0.9543194013565499,0.9779715282644913,1.0826823159676189,1.3599420212832554,1.2917470681991479,1.3468749068157175,1.526559664280317,1.3555929201888153,1.1427303745436774,1.129377769747721,1.0190755619194025,1.0752753869025664,1.0694874315695189,1.0439668474603534,1.0405077354639902,0.9707568313483135,1.0612273553530915,1.0761490307694919,1.1292374070226294,1.441609385843332,1.1442721385226124,1.2946097059512538,1.4022849354335603,1.3211918623914225,1.3986545238828936,1.3847953599771867,2.079143069988308,2.104252790283315,1.9091449341169655,2.1084732802838193,1.6451488988926832,1.5863714442086536,1.4679640538528185,1.7121290264472588,1.9150576284393253,1.5415631640924996,1.6044564434206035,1.4679412067067974,1.4621282958823336,1.4063914547930043,1.3146568590960017,1.2681944664216536,1.2651592523248356,1.2607188037567607,1.2219089351879227,1.2077175115011964,1.2755752354143661,1.2493166763385894,1.2614049257306403,1.3224210680864437,1.3808688480287457,1.322251224460584,1.348670098526361,1.6026479807454572,1.5588986257219175,1.6261075051577587,1.6074020710348556,1.4594973184835627,1.5137236054931944,1.689770102532465,1.847653753879087,2.007783286321098,1.5505945690809342,1.5228212354708324,1.5098503256688842,1.4621240347057125,1.5991860176783577,1.6155759030129118,1.5366154765377475,1.5103225094560644,1.6256144001243475,1.5496627635866624,1.5751083232293015,2.0706212825550074,1.95438406270222,1.6024145541356558,1.7544300834484874,1.5001038940599238,1.651411581751501,1.5334873134750082,1.427688793571399,1.5128001807469642,1.4864553677685604,1.4642486934134626,1.392377972688687,1.3786363423962937,1.3390967873165416,1.4063879215458195,1.263854923091987,1.2513680317787461,1.2418972906838128,1.231238009029245,1.271961363108584,1.2811390708901313,1.401862543497642,1.3487939158599898,1.4144664886655498,1.4061786153302958,1.37412248527253,1.265712617307573,1.3441546242636757,1.4178962433243063,1.3260897310624762,1.3705719776961334,1.4154011792241414,1.4338351435527343,1.3463134102182102,1.4966653369504117,1.5777612429253793,1.385727934772093,1.4650360707050119,1.7696018913654996,1.684120326519483,1.595346680061946,1.422374676134918,2.0278668057051497,1.7294259987324596,1.6765727092679255,1.5557678113916098,1.3653473225088084,1.3804377003542512,1.5260407226010448,1.2947185997266628,1.3346741895681091,1.2288162343008349,1.2695151511125922,1.2545965649234883,1.3225581179765296,1.137146227410498,1.2152077457339703,1.1739447218667987,1.1200137745513292,1.3180151399918123,1.3076458273262692,1.1822579254554666,1.150966565215826,1.4286508522683756,1.1792484974187638,1.349638630489767,1.4186451075966897,1.7713182235206963,2.6772188436313007,4.125476906721448],[0.8209986619098858,0.8135158639625221,0.9844458039208098,0.9298295514494577,1.078702941381454,1.0301251237939577,1.1774073139913923,1.212311555152996,1.2701551709501586,1.3585713302783564,1.3665432787060405,1.3411531895366537,1.4032071624220166,1.4125404248262297,1.4600493435196285,1.4597190805686293,1.4976319244204688,1.563269900280911,1.656267432559086,1.6478545564741676,1.7515882561442544,1.8790937853287342,1.82439683550707,1.8634518310560324,1.8376891919858704,1.7132004647576224,1.6022392196921122,1.5995719050373176,1.5726124657986345,1.4928823767846777,1.5253281516641557,1.4423702315706213,1.457524618590557,1.533750997299485,1.5436624995272499,1.5850483931231008,1.5531582901463659,1.6637566291913948,1.6195466919047605,1.7558617964826486,1.676917542237116,1.7520915014288578,1.7156447785832198,1.7601493748756982,2.1143571337210743,2.4646369946973223,2.8946207247132234,2.1526825888489296,2.0677447653710535,2.567530278856758,2.4221836978110995,2.4437472883984284,2.149435818973796,1.8561934274394576,1.9711963974980093,2.083176070428545,1.9771599571683849,1.6621202022642154,1.8251416317513747,2.5115063980567176,2.073720720327936,1.967555639128235,1.8131480826528406,1.8827540895291397,1.929269967566061,1.7664368711032186,1.9035462964607799,1.6807122443498643,1.672758973805466,1.6473107379987666,1.7359847709862326,1.9134998663372016,1.6785265312601694,1.7359896151565541,1.6830509274387315,1.8968311816390202,1.6684807711153538,1.6644615207064968,1.7377972427390307,1.8300555555066118,1.6577549981994357,1.8736522114521792,1.501345325474251,1.5644609062499202,1.5320676636682464,1.52397848378067,1.6186485935355783,1.6048065480112657,1.6290871421089586,1.6206328021395737,1.6456637119713482,1.8176379249152848,1.6583938037265693,1.5258300451588598,1.4781981187182756,1.4902639127160566,1.5135983138779068,1.4290075555275352,1.3535568525669353,1.2865194543248812,1.3661993276434212,1.2715797438287277,1.395664399326047,1.3354363895264079,1.3900159234689777,1.376951169697402,1.344191318242058,1.3142684054533318,1.2325184619278016,1.2577294360380826,1.2029403321344962,1.268366008019237,1.2567681214420903,1.323079984574307,1.4406836160336356,1.492788398547823,1.5456640914994257,1.6008282717383644,1.6982340158358187,1.5998922225005927,1.581104388296297,1.5183579758874457,1.498876453980837,1.4170349272066962,1.325642388374833,1.3166981052471047,1.1145501819623054,1.2538867840123604,1.2206330844809599,1.2729770654834363,1.257455431552566,1.3220512483204734,1.363647478696723,1.3219506908679166,1.3239723286688543,1.327158789120311,1.2444607990229972,1.3604263661624214,1.4155439469406097,1.4887092837692222,1.6007662604771427,1.7200727778982465,1.6753250365396992,1.5660019251051802,1.5940774534742967,1.5449836879258658,1.5044120936271088,1.4464916046370586,1.3552537205800035,1.3146449005280383,1.2029205143683988,1.2959584483553739,1.3379003955884594,1.666978447710135,1.4868439740575106,1.242104318642162,1.2739865840181852,1.2640537724053242,1.3576408131326294,1.3326641318028485,1.3971384246625747,1.4927360764124138,1.519366588714326,1.571965828096731,1.7143928730918812,1.7851709701503276,1.5805821687859767,1.7326406134165322,1.5697358531365209,1.476079987522827,1.411290464764311,1.406594941906678,1.4324847474492375,1.4373494861135396,1.443697078762373,1.4018494579939553,1.4228097263165214,1.3942859341427845,1.4726793962832843,1.4718421362044976,1.7059341062943,1.3993063743146859,1.4369407339776055,1.5158777416623141,1.5473032013982466,1.7081418281994305,1.8323693796773708,2.360542712510205,2.4892100572518476,2.1681937092892394,2.33465284722859,2.0975721198880013,1.8502754296729151,1.7066408946356666,1.7852927175477902,1.737273618800829,1.4366043534732442,1.4389497464402778,1.2275449866133312,1.243463922465717,1.15141705961512,1.1034241088820402,1.108417945181282,1.0195127496995393,0.9931379808155535,0.9800637291831885,0.9504688215652195,0.9533686078301039,0.9282720513345644,0.9549976682311232,0.9884308978697108,1.0394108978811123,0.9946434502622747,1.0636636246481699,1.2241868971130068,1.1990010961039843,1.2921869665137593,1.2413712723724026,1.099779491555915,1.1286818517062103,1.2683683655325269,1.5907366619083445,1.5216450335937302,1.3565001484379766,1.2297825012576942,1.1782842352883627,1.1217254406530632,1.2744014562528472,1.318457382457067,1.1376694110046894,1.3038014870919223,1.4689977072945681,1.3707379607131993,1.3096321249011071,1.5893987412773898,1.6524613851605467,1.4245750788013976,1.4170486058881597,1.2307810587843713,1.311294832285583,1.3024743791374362,1.1464967546923703,1.2380702825263992,1.2177845115200194,1.180164364553812,1.1159639155456766,1.1501205547479336,1.0700200021360746,1.0827376126224977,0.991816263740211,0.9636954658222995,1.0032881596598433,0.9478763278590353,0.9360399861447423,0.981325453712735,1.0777226005002027,1.0145088472993786,1.0399816936676132,1.016877920273399,1.0337504279470786,0.9905899524129087,1.0709578783101519,1.0859633791252008,0.96681958165716,1.0466626017339529,1.1047245851737262,1.1173058085474135,1.038601280446886,1.2440994073281377,1.3506979601845006,1.1113678431139897,1.1645973993468715,1.4959991261607941,1.4899105530314085,1.3427597925904406,1.1067382904064302,1.743377267457669,1.4245650754228558,1.338418384216094,1.1508052035703678,0.9880151859584307,1.044850565435738,1.1219022107389156,0.9634481983116371,0.9776301270112742,0.9999251582067867,1.012729639707203,1.0593164194857734,1.1594063588394594,1.1578719013105678,1.1188725629203666,1.1214919710841886,1.0254239282959985,1.0495363870582832,1.1739479699803166,1.00488779428859,0.995302282394542,1.2720092769257032,0.915498891672748,0.9180228172969971,1.053197904645857,1.5241411702601153,2.213127291981132,3.6591159760213356],[0.7130407381134753,0.6982656930534783,0.8346268010477071,0.6226781007411671,0.7007631326118806,0.5877875375423557,0.5619784146054488,0.581693357168684,0.6214494269137293,0.5858366663479071,0.5865575570045389,0.6389697761694542,0.6229403949084875,0.6148698558254319,0.6902832980966667,0.6579174059312031,0.6500609207778462,0.7104507183322603,0.8161291474726491,0.7737539788671267,0.8966960901507559,1.0555415880635326,1.0903574704214183,1.1519737042244216,1.1222638507505773,0.8786674405315728,0.7461130990911736,0.7403587473011962,0.709505615824133,0.6494714009190459,0.7124268318770596,0.6368335807995689,0.6619419445024921,0.6853135341509673,0.6880504740541492,0.714474909849403,0.7350580184291288,0.8555005989799263,0.7653765169825324,0.933852384952276,0.8963371424062719,0.8783499163406091,0.9088730273110157,1.097583092593842,1.4289998072584356,1.8905528004884717,2.450140876593227,1.5247157645384517,1.581476990912901,2.089946059315836,1.7907902253167511,1.9241720848688264,1.5457308478092897,1.1608167856626408,1.367465342420699,1.3305693484663283,1.2626662897091232,1.010877385754475,1.1000856271458916,1.6545415859085768,1.205390507062135,1.0622479022323774,0.9220262442798681,1.0092425334513937,1.0449882360806804,0.8923795594470836,1.062871208590069,0.7907120481204939,0.8503769685487964,0.899578376916798,0.9910223028745242,1.239938721468058,0.9188909904988826,0.9964512959193064,0.8274492044638301,1.06508575909218,0.8131486777341052,0.7947186355350784,0.8678716742145728,1.002390410986981,0.8016950934938111,1.048056919268827,0.8569388480756993,1.0799635023628829,0.9584679086690181,0.7614687757596386,0.7705822763805104,0.8209006154591202,0.7723695866420818,0.7675878443513494,0.7807826074930222,1.1288137856921563,0.9174980000877387,0.7295619472297357,0.6915517449528886,0.7831287455119191,0.8172175755980775,0.6650224937205539,0.6071196794642068,0.6838475864447554,0.6100222949669761,0.6505309457355755,0.6592586310168373,0.7071168290366477,0.7828126240803546,0.8175969066548663,0.9196361018273557,0.9478787125975443,0.8285052367984366,0.8134371109154223,0.7288804079992405,0.6638527714708624,0.5868570495589057,0.5877873800357868,0.6509890799481444,0.6733809802700447,0.7131810863228246,0.7313033939688134,0.8629815839626015,0.7534425865155214,0.7654018788146832,0.7181284156794283,0.6816188387534886,0.6300176292195129,0.5757599360236397,0.577927884017204,0.6703467706151507,0.6778245511137717,0.7623376178247829,0.7664698048774348,0.9135865506241768,0.9955290436698742,0.9583929478942634,0.8545005620084097,0.8309990428620961,0.75341552955594,0.7802324096541686,0.7130037335098128,0.6377216590986913,0.6581353388695248,0.7383496893824366,0.9905013148894172,0.8029392088557972,0.7202207009415801,0.7511265169669356,0.6955543297992945,0.6769103711607967,0.6684301053905907,0.6291850722221293,0.6193510941023458,0.607626534514206,0.6492903803821676,0.7966088217615923,1.3327416377533383,1.1952027180426799,0.6194293970853683,0.608912608141814,0.6036167143673148,0.6347993383740477,0.6787096765560948,0.6929103399491768,0.6991491266651506,0.7202492265742045,0.7965373272814941,0.9618673520143307,0.9862497721346046,0.970903237752703,1.1887946175208504,1.0989129974170397,0.9050262088337723,0.8490405084001751,0.7672031174822016,0.7812749549797565,0.7552806359171647,0.7427637393104141,0.7083135721162737,0.6671079021336879,0.6879001764609645,0.7476551904500325,0.7626281512030562,1.0362103789895503,0.7850384444053489,0.906329583917436,1.015413376842873,0.94165188127845,1.0256941622537625,1.087629270822221,1.732903915473931,1.9011489510207311,1.600848361978896,1.8023871637801727,1.4673556002621266,1.3182421808917333,1.239163047384618,1.3493573585053094,1.54003003738378,1.2133672284397083,1.2412879569751376,1.0782979344584507,1.0489851788537732,0.999574023154632,0.8770459133706922,0.8389618341438285,0.8715527112005615,0.8644155638131146,0.7973264247580146,0.8059580556237707,0.8961096431231707,0.8451417931891002,0.8353707742217353,0.915543480389672,0.9944704139005598,0.9073923402307259,0.9670462061264281,1.1963719157747834,1.1573539095344543,1.2850630200310922,1.2637354258348503,1.1398056692828455,1.1768699537877676,1.3442732422877226,1.6023178104405713,1.4903032937132297,1.2719971941550459,1.1943970444132086,1.1501091327761321,1.0833016711828178,1.2240614305876683,1.3154853540099947,1.1485268864060103,1.2207452932542446,1.4497917957846291,1.3832768185194817,1.2605128680149271,1.5867731838171164,1.7016320997274663,1.4041187424433972,1.4365772493901017,1.1355245598455965,1.2291503445623642,1.1455229069246706,1.0210678254196546,1.0394037509290597,1.0875544017330188,0.9890979954196923,0.9389309121965862,0.970863390427093,0.8743716480674164,0.8932081981989636,0.8322789979628604,0.8323669356272676,0.8611368585738248,0.8323022374257482,0.8760970375312475,0.9233883329283181,1.0238442065624693,0.986991125335685,1.03908197447464,1.010089938306759,1.0216358140816024,0.913135901453099,1.018921355690514,1.1138893766786069,0.9412574205351885,1.0020002416362108,1.124593206910591,1.1358482525547928,1.0009604461178052,1.2484738894053333,1.3799663344473598,1.111572685106751,1.1595532502669847,1.4418447973685797,1.4716008803502614,1.3255824546435728,1.1070861491399293,1.7360951188280578,1.4551958472513873,1.3704262646122942,1.156700652776762,0.9596473248840552,0.966596156217638,1.0516525876930112,0.8614652133691069,0.9579872192400944,0.901603139695696,0.9138629437351482,0.8605659974653743,0.9200183497853448,0.7515933138540383,0.8157153744476414,0.7864598872648354,0.7593777296791637,0.8445428291064128,0.8656810072737333,0.7863813093457238,0.7427559010026799,0.999724420177364,0.6808765431532513,0.8320069386236579,1.0703845167662756,1.4113651168530983,2.371750919113,3.894255389569174],[0.8416454996541531,0.8223993596940242,0.8938199637469326,0.6923716680960498,0.6950371105336732,0.6348874108562242,0.5830646520649742,0.5936265401235953,0.6339446613082068,0.5913016594075752,0.6022353453817432,0.6716991495732733,0.6346380032494583,0.6550727288285552,0.7182002389180341,0.6789830480131227,0.6896712910404096,0.7606951635739612,0.8789270034276209,0.8420864241610885,0.9864706950384542,1.1212512741004559,1.1682967511406082,1.2485178339440837,1.2073033665135553,0.9756397655418596,0.8259107743427295,0.7792401593168031,0.7398963028909141,0.6651912073694343,0.7471226687200643,0.6644076476083867,0.6972696359879494,0.7122588173982609,0.7110594432545991,0.7392519807880518,0.7356699170333253,0.8803510748037334,0.7707597587128989,0.9166868723182049,0.9152705257522848,0.9441490875585565,0.9953620506036753,1.2023568845811177,1.4296918836323405,1.8565593402309277,2.4150665313645727,1.5397042660839,1.6204462804936652,2.1048878426207467,1.7994945506081617,1.9222716674723705,1.5383538344616325,1.1536543458944861,1.3645089951144742,1.3286961317867956,1.2916759529500488,1.0936318329174446,1.1449013088822142,1.6504777989323445,1.217903162149553,1.0925741686760462,0.974952588251932,1.0810601982158814,1.1115221940506943,0.9673623952262012,1.1493663706594945,0.854768789591678,0.9083498621569817,0.9535719811699228,1.028964642148458,1.2547883480875481,0.9671370989964347,1.0716330249205428,0.8836409006331747,1.0972780195317438,0.8747674613494305,0.8432547873776102,0.9022065953298417,1.0415237591266724,0.7836194686660357,1.0061783182359343,0.8569551927328818,1.0654767074305842,0.9717378498514073,0.7644691520985433,0.7921671247127858,0.8048205270465809,0.8082288790689108,0.7892727428431915,0.7966206844794969,1.1665104964866932,0.9495445513298101,0.7487114792876123,0.7014683577714771,0.7828845553309421,0.8026577467310185,0.6804199870270063,0.6423936871667478,0.767532828761567,0.6377133452064666,0.6870067209330333,0.6541622714314734,0.6858587723783474,0.7316652600398467,0.7683332547616376,0.8746908707998089,0.9068405342815029,0.8098417638527912,0.7997717452636488,0.7063489989415801,0.6524073665223074,0.5892660689086271,0.5822165432645164,0.645089634147972,0.6762763275766569,0.7564556850062618,0.779228113519409,0.924634192948559,0.8108581899227532,0.8212098011249631,0.7838183638559656,0.740403399967951,0.665006553316895,0.5824539500614755,0.5620426205334038,0.7143146915294121,0.6421652296475044,0.7383700656870394,0.7231408669244107,0.8818707025801492,0.9495556152644216,0.912448455922524,0.8149932288486255,0.8053529273117316,0.7409575738687384,0.7762337283022961,0.7185150552514921,0.6424828852339578,0.6656097263532736,0.76495646654441,1.0214392472505773,0.8342265636112757,0.7406084725840166,0.7653692301558603,0.7010291039454984,0.674551880463731,0.6572664785338758,0.6095764720549902,0.6141862889117741,0.6220735639117982,0.6368505475900732,0.7785916409402908,1.3998147074533995,1.3009059688461528,0.6537857097074589,0.6231537949600278,0.607008151777005,0.63519085080174,0.659045462060193,0.6824599159029208,0.6887108202723092,0.7125585864749471,0.7913206254211181,0.9343872568765069,0.9709193457279062,0.9533255944288614,1.178937117008684,1.069466348797715,0.8946996024470889,0.8307435748434004,0.7701614368985327,0.7724666528001877,0.7467492426354628,0.7350104234704973,0.6983959427060421,0.6868509639499342,0.6963322046078048,0.7438144298657491,0.7179060530598743,1.0136441330538426,0.7396398580520515,0.8661182844028434,0.9746019062050044,0.9019126818134384,0.9904421838989798,1.0725061771161486,1.7066768212001968,1.908765199542115,1.5939112699941824,1.7834495544638358,1.407711033506015,1.257590525534864,1.1739976927311466,1.2573660956929418,1.4629962430635328,1.1522085928244314,1.1900858648951886,1.0551921015428645,1.0086383591639194,0.9835315831879229,0.8468735254804776,0.8066897539325409,0.8736687678847629,0.8871321377810082,0.8165597237999758,0.8391967015513986,0.953019812759361,0.9125104725577542,0.9010332777808009,0.9897156013825655,1.0767518984617293,0.9911210889836782,1.0184733405220203,1.2764063286667826,1.225421047382633,1.3711884072420775,1.3580232538606443,1.2355027133793073,1.2791290159404085,1.4333660842977114,1.5995966722221808,1.575390075415471,1.2635929439091462,1.255186966932022,1.201943836520711,1.1091399346037683,1.2373050820007505,1.375960137569091,1.1884463040358946,1.192057179724813,1.433771177023058,1.3899507252022119,1.2396666396085965,1.5753775905434138,1.7170806422648763,1.3876362279355758,1.439911091414904,1.1315178480712207,1.1970777235661523,1.111808545726301,1.0161159811854439,1.0053588912210298,1.0756699056556018,0.9738525536070586,0.9325337706360107,0.9500448136240547,0.8757095453675692,0.8999854186997638,0.8498224534241641,0.8817897406943147,0.8980597328398696,0.889653191380928,0.9569633578587083,1.0037406900371468,1.1036214495130166,1.088308702439077,1.1639566106236392,1.1174488624589167,1.1131511456385572,0.9565161752425598,1.0659487670591374,1.2058740385311915,1.0135911502106267,1.0466561605428069,1.1923886917560527,1.207171521731154,1.040285973560716,1.2974134003688553,1.4339040536839038,1.168173464442635,1.191099264187822,1.4840413704805226,1.5197960230479672,1.3767439996002433,1.1694472422296243,1.7925395237882058,1.5252214643623572,1.4581352331216997,1.226686295144333,1.0315986186423656,1.02475570865049,1.0929280473799283,0.8881397832983381,1.0239040193453535,0.9365766913490475,0.9389196452923466,0.8715951798919608,0.8914414953632265,0.7263113652000873,0.8098778472859498,0.770838801476242,0.7676061619208069,0.9531024360976128,0.8705218393769939,0.8010358101812517,0.774344552541564,1.017860435630344,0.7519076763357798,0.9849491432885933,1.3078253985004014,1.502223051354471,2.537105606481123,4.140191438659414],[0.9045843478726443,0.8980271624155468,0.9550961540428402,0.8075277644351869,0.8184466249824118,0.7144336722031202,0.6584536454421357,0.6604894015242911,0.6875819935433252,0.6430678613575458,0.6387803736495159,0.7238127979033654,0.6592661034898618,0.6821830276732279,0.7406092085154532,0.6919540264143601,0.7265535818043711,0.7824518187331186,0.8853999519662096,0.8644345485117766,0.98675924778214,1.0904425521699912,1.122195170795741,1.1954978581818587,1.2137350936384432,0.9730716392919173,0.8588849469172777,0.8085163529204098,0.7680147473053612,0.7120637602702217,0.7801793932520893,0.697354055628151,0.7268056891697691,0.7408756663495721,0.7380991483750294,0.7622471161840404,0.7735534103067712,0.9162611258253333,0.8061852504995275,0.9061852172010265,0.9335340200557111,0.9646171312081399,1.0110996142929323,1.2204018049255154,1.3750199931315252,1.8191449101823942,2.3430576400646657,1.4908701200820855,1.6175342187775665,2.0885292369150767,1.751725983859833,1.8731823276585389,1.5148788261826056,1.16806331228257,1.3515040380068697,1.2506360837955575,1.2365402397935032,1.104421264449891,1.1263397936378199,1.5853764408256055,1.1966310265812714,1.051347712829332,0.9683882993187954,1.0394709203591748,1.079981672006756,0.9661522258186634,1.1520379570818713,0.8592096723623418,0.9065771393706802,0.9681470375765759,1.0372989658246343,1.255491516918655,0.9858781740817952,1.0695430370102255,0.8917693130478884,1.107694606541702,0.8681899659908988,0.8380554961621173,0.8869119986271198,1.0327118698444797,0.8096129724932347,0.9785665801227444,0.9224750016072759,1.1046128194790137,1.0333202840945381,0.8129400297037299,0.8204931142124998,0.8354030300079208,0.8263524294005244,0.8067331479651741,0.8170624432266829,1.186853384584936,0.9711826587809498,0.7671134462313568,0.7270911309347107,0.7968454031612651,0.8262519970166089,0.7212221436758238,0.695772735901809,0.8241124849843062,0.6897088286999915,0.7091385987490457,0.718389602715791,0.7483847981202839,0.7967544191619038,0.8280560067881647,0.9285631754116412,0.9387261895195873,0.8861056884317942,0.8824652990996728,0.7840264190812091,0.7343140249622163,0.6714610850240975,0.6813266276107679,0.7062466946761846,0.7152357758012976,0.7776235220239619,0.8095478890266363,0.9224838971485025,0.8317269062755704,0.8272499638147033,0.7999922602301827,0.7695257064621347,0.7099272600169931,0.6429049395215903,0.6610988671210702,0.7904741789854481,0.7388623889626471,0.816283642029944,0.7969870960116716,0.9446041541134333,0.9922914408056451,0.9691922179925243,0.8788088097445201,0.869204921265765,0.8323761906771505,0.8677944003660938,0.8113852853257725,0.7420152301302538,0.7411699894931671,0.8178009640085392,1.044138336195685,0.8584757471097916,0.7826640923717698,0.7982618366383378,0.75084980330867,0.7358506331923007,0.7186231227503879,0.6915948010156334,0.6888804024326783,0.6974650120149807,0.6925088243435837,0.8211696854291063,1.486128037334421,1.3706126893502577,0.7218894925952635,0.6901926153617963,0.6760464341708362,0.6878066628663817,0.717994994921792,0.7652374570056965,0.7539120263369911,0.7630376444207659,0.813911947609711,0.9086847542799009,0.9916477166297915,0.9714801304789068,1.1944926309412858,1.1197118293908856,0.9656434956810198,0.8964112610804225,0.8395156061970073,0.8293783635344147,0.8013089366304806,0.7883289687624618,0.7648217971514459,0.7689707863035881,0.7712571056134292,0.8135688144872659,0.7858034369369052,1.0302581369035877,0.790765633697692,0.8953737143635626,0.994021314043732,0.9216852580113992,0.9743966060489674,1.0457411092940172,1.5523405765378981,1.8272151086210553,1.498740520182864,1.684302621701577,1.352040598060753,1.2266125415937468,1.1892883619273296,1.2367674176589127,1.4489437446556492,1.1880164999619942,1.1962556721106006,1.093333982254764,1.0623294938409504,1.0085860598402707,0.8995298233523653,0.8703993135607709,0.9461406747943182,0.9489016412425998,0.8968908069160026,0.9232443950449314,1.0293229563532855,0.9821138337985843,0.966614973584102,1.0559887086366535,1.1298161968080165,1.057458508405895,1.083276332191394,1.3116162286923592,1.2697549385098863,1.3975017661450335,1.3848775842484233,1.292288700359547,1.3198361230425264,1.4445974549417362,1.5834123368361313,1.560055832743396,1.281835177985005,1.2658607534245783,1.200366820801604,1.131032311545369,1.2185867741166088,1.3473410139340076,1.1965761715852798,1.2062330262185725,1.4287009610233667,1.416652471537909,1.2406777995758431,1.5227878828314376,1.6801892812588908,1.3945739213234838,1.474246218771163,1.1467783568019303,1.2160377399893698,1.1125758146515698,1.0478614089317269,1.0264591424266687,1.1039717684908505,1.0030628633118743,0.9808039733826118,0.9944439839109833,0.9258847414991932,0.9320741898447092,0.9178232086418082,0.947004254205328,0.9547293784739047,0.9530467439727239,1.0282410468809913,1.0737148450867622,1.1719761891575144,1.15309915219003,1.2222393882815146,1.1576842263899523,1.157103115162946,1.012658328568258,1.0945899325070791,1.242169577879303,1.07507095810713,1.0737250945620191,1.2189827010667025,1.2409262594793764,1.080407373462777,1.294416546495599,1.4355766178884142,1.195840978922464,1.215480035296932,1.4491946011875347,1.498697467453552,1.3754300645195445,1.218309235659753,1.757747309026515,1.5776414957686282,1.5087947462138882,1.274258287455592,1.0934564549859664,1.0823503714063576,1.1253886188122761,0.9767426609041718,1.133686610278066,1.0298542009194087,1.023299052682218,0.9559668057692409,0.9560425790735229,0.8205808315809389,0.8985821493696504,0.8426893690244267,0.8482314603287301,1.0516702087228291,0.9159392323431912,0.8724947541123461,0.8568604095449791,1.0660232333970285,0.8329295694988917,1.0707899021871745,1.3801938582987692,1.4883508756929718,2.4201019699373294,3.9796106516764933],[1.0615062695360413,1.0211663065979542,1.0179442947685327,0.865950504245005,0.8062332731954245,0.7436120074295348,0.686152622259291,0.6803911910514909,0.7145775286970014,0.6563280571428329,0.6680298485258327,0.733826485515798,0.6629911604372135,0.7094929751680414,0.7810466305480349,0.6979359221736738,0.7288225697297807,0.7957187999687593,0.9134900330734024,0.8499751380185165,0.9949968076476005,1.0950993489509395,1.1340314447059283,1.2026447298188558,1.1816766081559347,0.9691689778306893,0.8523277973788482,0.791755088613955,0.7553381215262217,0.6945343107608476,0.7841451139540736,0.6726346639963144,0.7288336334872749,0.7379983206475114,0.710655681742667,0.7331579973676056,0.7279994604220822,0.8634751737718463,0.7451224259355808,0.836170226623507,0.8864005629873052,0.9312200705812307,0.9703023966737071,1.1821528313793201,1.3975288379426034,1.8564158976714031,2.3720707037069007,1.481695063456704,1.557198383206971,2.047435673026588,1.6979857524644701,1.828468382592713,1.4589888930767132,1.1105193200155064,1.3054305920298606,1.213790144487856,1.2222391565384623,1.0620385606363725,1.099292677561183,1.576538659272833,1.2104739480756816,1.076873160256334,0.9704742036085402,1.0803370702923614,1.1040850089377356,0.9610429782189828,1.1789820349708628,0.8949750997513196,0.9867897722261116,1.0235209292983147,1.096427635967638,1.2998102323478937,1.069060720410452,1.137593904524381,0.9442021332400339,1.180676909521377,0.8838060163934899,0.8405920603764832,0.8559603506531287,0.9814358905621949,0.7585647166370519,0.9076782698590723,0.8493358580051797,1.0176996515173964,0.9465939041813208,0.7390503574636453,0.7638070978735012,0.7815551506457917,0.7918288744011334,0.8043523489727675,0.8283798503590145,1.196676848843361,0.9917694032751544,0.8023638174459432,0.7612657041735542,0.853035723374255,0.8699730613140831,0.7455759083339618,0.7137491743704769,0.8377288810976309,0.6688186535500892,0.7463170115611352,0.6684992699739747,0.7139744319269049,0.7179424458507759,0.7613191174091426,0.9120773890257928,0.9398607037151137,0.8858165423831889,0.8667385606667088,0.8020175703292224,0.6968063973482426,0.6547263339819517,0.6340330526887895,0.683787754662865,0.6848186237062431,0.7734280123053959,0.8160489582305746,0.9582169262045677,0.8541337666529285,0.858926880981138,0.8093018759099122,0.7721295258258795,0.6996737840182082,0.6449023542924583,0.6159444821227656,0.8153135093015811,0.6911225016253971,0.7959289108101473,0.7533400535913348,0.9255092776796277,0.9915190901002999,0.9115866449146564,0.8157619100467416,0.8018964954885085,0.7426271614068886,0.8011892211087946,0.7069805143955424,0.6563813042930351,0.6701250560780667,0.7910303043747429,1.0364664101617456,0.8392492163929329,0.7364820941979537,0.7405003188294574,0.694025759746047,0.6767166699602469,0.6700049472498071,0.6406435670342325,0.6630494644048268,0.7155106255925385,0.7030200442261588,0.8143753175459146,1.5255220253118482,1.414534362135214,0.7531407769487772,0.7002426316907144,0.6818336083131148,0.6560110244610232,0.6742880320881216,0.675600864864843,0.675528150886412,0.6800116180779588,0.7241237186379456,0.8213328876433786,0.9096033125285803,0.8911427685331157,1.1202959078933579,1.0331514662395789,0.8840040477331816,0.8002033169964674,0.7362292002491443,0.7360652982599852,0.7093508682196867,0.6933727466601627,0.6708183311902834,0.6849953072067225,0.6892959734056017,0.7068297886801966,0.6769669579847777,0.9324996835680861,0.701820055410767,0.8166582988787624,0.9303150145087132,0.8445503768347082,0.8912631979002024,0.9701309549684964,1.5304696081566649,1.812468467723628,1.458275159396787,1.6505024691389918,1.2359751015201723,1.1314264447513023,1.1028982515951422,1.1585719942873534,1.4428034896211221,1.1740759143940607,1.241837300579654,1.1683545053937687,1.1102145735746358,1.1282142353192541,0.9988369880505648,0.9475308283746169,1.0541231937146396,1.0900476454183539,1.0271977917963029,1.0459595942378763,1.167345415014286,1.1509423430526518,1.1134542716665805,1.2091136431071416,1.3098884042536585,1.2336273095687138,1.244884742292166,1.477900900771849,1.4116815474822826,1.593993285922374,1.5567460227151635,1.467727140187661,1.5195498167819537,1.658459576268956,1.7933206750103843,1.772018571694209,1.4083105517884527,1.4426761081843522,1.3810275812732176,1.2802835941015638,1.385421079460724,1.5339080947873047,1.3424886066790422,1.3250705618958931,1.575707537789293,1.5443909307429424,1.3556190076109835,1.6431554826070396,1.845890534212273,1.5029687789092139,1.555037953645292,1.268263073390301,1.3085203879649958,1.2220436308507445,1.1696950907786583,1.1438508661379145,1.2372730220978074,1.0830903471799256,1.0851191824237698,1.1313678933770304,1.0627662340260717,1.043594475977706,1.0560686845876577,1.1130748652032922,1.0927270355689365,1.1135957303596207,1.22805627832359,1.2772972925899089,1.3722288820666708,1.3620544141790836,1.451934557066642,1.374737362106905,1.3601672954461024,1.182580963609226,1.277687406256158,1.4402276340941556,1.2564989728374092,1.2462887260224242,1.405512215524266,1.414261969838325,1.2333675645362476,1.4685422680315403,1.6094337620920607,1.3448595418771954,1.354285451764024,1.6080618392321189,1.6675363257489861,1.5204971762071888,1.34376544511856,1.871853588461119,1.6279327461320636,1.6293172243442902,1.3789211654199878,1.231335879029163,1.205952928377363,1.227033204701558,1.089977016199744,1.2282669394873025,1.1558683119048534,1.1426838860935518,1.0139547958872719,1.007807445939733,0.8353505542347226,0.9628830866382708,0.9103156973209634,0.9488356338802022,1.0949376865395335,0.9776914028091553,0.9858745272805393,0.9714148621914888,1.0793197530434477,0.9384254599663098,1.2000787891535034,1.6372984565665554,1.7087832252437811,2.8673052804419266,4.594218405261732],[0.8609619832155723,0.8561858557774472,0.9309557924311859,0.7376126838923905,0.7343758674335167,0.6369104624329017,0.5966652531222755,0.5885187992887215,0.5765106347422597,0.5169864093042993,0.504441052265764,0.6013652511998647,0.5867657240313512,0.5454520180101281,0.6183484053055467,0.5990859417429047,0.6366212804562279,0.6887041262921021,0.8130515422243332,0.7722953755471835,0.888076101433814,1.0065580819420077,1.1455199667220743,1.2004657851259672,1.1807936056847572,0.9109218457762913,0.7896620091491711,0.7289866996165971,0.6928837153298302,0.6300138890959139,0.6813078735239118,0.620072043677167,0.6439477787401461,0.6402081185604325,0.6572075113484688,0.664502082768692,0.7084666369230077,0.8412908925148045,0.7553719164942861,0.8823721596984724,0.9191272970293851,0.8743495243876741,0.9830207130225085,1.215100359726521,1.405071689956104,1.8610599567307984,2.398043150281047,1.54221763187696,1.6276429757501865,2.111717670775927,1.7654386061393015,1.954453308803611,1.5939497808797987,1.215626239779984,1.4595654414078951,1.308760848242654,1.3108631907616473,1.1848034279780277,1.2022189504563732,1.4944251983880217,1.118503287779923,0.9987875179625229,0.8766755865020055,0.9790549563150364,0.9794719852878845,0.8707430139834249,1.0110796488009788,0.7730919088426599,0.8570893018403731,0.8922318460975032,0.9763782029747748,1.1876177242548407,0.9261065536900999,1.0306912730592483,0.7964165528528422,1.0128012431716804,0.8102391689984552,0.761681144623926,0.8085680976273952,0.9333018290072587,0.775298364095106,0.9712631334573454,0.9161937593124145,1.1672236243346692,1.0628375741997385,0.8084264540440084,0.7614005073241208,0.7959308589961516,0.7443496695336613,0.7259340831153845,0.7242554484021825,1.0970496422323197,0.8721414706382292,0.670560323774072,0.6325088866521499,0.7008274956196751,0.7144894231306356,0.6279065955493103,0.6020681587759886,0.7879227244395611,0.6445820554419386,0.8081081658598597,0.7081947786373768,0.7931213745719747,0.8710132435153523,0.890938867148776,1.0389564420376531,1.1018566469909905,1.0071454881282913,0.9304700827811739,0.8631692141286691,0.7741562424621445,0.6464601302963913,0.6264909923989004,0.6076968361916674,0.6428552143499415,0.7112959030427485,0.7366233578466486,0.8593867396339765,0.7359628655271923,0.7541865060573255,0.6759543111344197,0.6620673623490015,0.6014009547567251,0.5470678028373859,0.6201091336949341,0.8109023846800395,0.7586389468833168,0.9225301150524964,0.9192900952695401,1.0951706571720496,1.1838617251739976,1.1155663455480318,1.0167335391498715,1.0015278854276102,0.8890854326232023,0.955382464716554,0.8218975777792908,0.7100912174495014,0.7117975631665033,0.7784714960006277,1.0347434192387328,0.7996929383832463,0.7457366628512385,0.7761237517547399,0.7021956080993109,0.6865834707167439,0.6652618716799481,0.6620605644696788,0.6426092826344149,0.7220854601884383,0.6184027462272487,0.7744450512649809,1.3381836701816952,1.2927564352476357,0.6766611871938388,0.6461167435681816,0.6757981380758012,0.6670280319214519,0.7668989183946212,0.7633293510502048,0.7201869077058294,0.7597955821205425,0.823899981643251,0.9266116507166609,0.957842881981746,1.0304283852116507,1.208948089092444,1.1572599141682494,1.0066286389721881,0.9674466561645093,0.8813646591520058,0.897927053135736,0.8610108210527104,0.8337360038002346,0.7914020502736067,0.7223936301117508,0.7786600878776049,0.8223866502143435,0.8117538100055677,0.9955692623064692,0.8794217633983339,1.03721026083258,1.1595618260888167,1.0371395831617614,1.050153770189345,1.0373543172021655,1.6126657009565635,1.8054904027597003,1.5519448313453568,1.7367273219631807,1.3406316883673528,1.2749506181148456,1.2607050700791709,1.309099908250342,1.6314120475463942,1.3541676096776976,1.4281414902229097,1.3311997239777447,1.2491508648839014,1.271077575723682,1.1063687654204404,1.04578010791677,1.1311254140053677,1.1341052334103783,1.0301075066689962,1.0483212082796793,1.1646601196579076,1.1026168577163167,1.0293101202591497,1.1074940479276139,1.190605565221363,1.0741338955476585,1.105374893009396,1.311753287752263,1.2776577688161437,1.475623525004481,1.4934665010464172,1.4186454365149694,1.4454832285878458,1.5880557516228693,1.7726519980706001,1.7457602036008468,1.4526961395710072,1.5211459312566427,1.4877935123101387,1.3809945674682589,1.545972709529133,1.6863731715608004,1.480990721227117,1.4697836456360973,1.7130124550341816,1.6747027472887992,1.5226234124333557,1.8595508288252385,1.9934385584222967,1.6449240367825573,1.7349097592157599,1.4268410961733127,1.4935446901707876,1.4020411351881403,1.2914729114814274,1.2663283029583914,1.3404181322006365,1.168626235057624,1.1693667366291005,1.178170545437991,1.0966362535551337,1.0980238180754218,1.0578980611783078,1.0615119214109316,1.027666689369762,1.0382454152495868,1.1325535278477108,1.1419359618942873,1.2080212487231778,1.2126125333053341,1.312454329694066,1.2916166075008113,1.3201341471919659,1.1744559168013242,1.3111356014504454,1.4121225896945664,1.2459550655818399,1.2967266160719775,1.4287138589459942,1.4194921510475278,1.298671912498128,1.5234867718377847,1.6432326162084951,1.3875925971220984,1.4637042766251818,1.6729990709539901,1.673692750423068,1.5393296797345297,1.3407172401422762,1.9107584246976994,1.6094619926514313,1.5531736347308402,1.3115358871132077,1.1698386042489701,1.11898329307629,1.1733317355031687,1.0656978821732153,1.2434460356389982,1.2155540556633886,1.2065658003712845,1.0963046866111337,1.1268223400246764,0.908650740053723,0.9918249976645567,0.9420082502444788,0.9421121490091657,1.0234552988156105,0.9636315814482164,0.917702629537117,0.8642092620559775,0.9922975918349568,0.800126995196527,1.0560292827522995,1.4769282700373834,1.7118534886955596,3.008397833708459,4.729650718708584],[0.882951566892443,0.8925041509447146,0.9710333426888486,0.7508436130391399,0.7106847805737082,0.625332766937837,0.5362694675511176,0.5376980977752188,0.5353553943379811,0.44080441843027884,0.43127287195620784,0.5425461917116402,0.4760650364710199,0.44333651052744955,0.5241403290155785,0.4704525049275889,0.4816838249299435,0.5253830196284853,0.6553719430571657,0.5983055179149396,0.7110156650438474,0.8340537846160734,0.9699484410664013,1.0167983562630978,1.049244953871728,0.7305046115411656,0.6002809702527815,0.5653786843664176,0.5411999724082996,0.4837915077712218,0.5459338224923931,0.49774757659966173,0.5263834444719437,0.5180590307224403,0.5208535016249801,0.5165302128491319,0.5852998653765767,0.6746266454734821,0.5889800626086129,0.7136983540424958,0.7315909712624361,0.684606701854005,0.7632230943862771,1.025265223777445,1.309473165283129,1.8741934230996218,2.3472630562206005,1.3743936188357677,1.4371471966877316,1.9819763254112857,1.5976020818520489,1.7848045245150024,1.3889144227674992,1.0364601899440364,1.2611099367326317,1.081430365460685,1.0892692485947653,0.9563952567175599,0.9857348824845843,1.3645032859909072,0.9738307451553899,0.8285461331924888,0.7050884995111929,0.7877617450429981,0.7954656206684154,0.6962986168387371,0.859116396962558,0.607414098970644,0.7249663782810722,0.7424309988897458,0.8497688000040465,1.0893408510935005,0.7935967245522679,0.9003882472062457,0.663825501470759,0.939603314661507,0.6348224533511875,0.5954629762597722,0.6411458468291579,0.791045677266433,0.6280165718361992,0.8124235496512874,0.7947090385953516,1.0178481167528035,0.903349142523114,0.642060060595181,0.5861057215765553,0.6647565244431247,0.5799553179329286,0.5727597173429244,0.576356492781568,0.9817213251941882,0.7606148757837312,0.551655484761177,0.5263866309518644,0.6224100506967079,0.667675130722949,0.5405957132865922,0.5297207792086072,0.7590488182627513,0.5566061437051167,0.7271992513426759,0.5880294973372796,0.6827993066706398,0.7317840404094174,0.7690380591391589,0.9284867242561793,0.9640846466513419,0.8911250934155233,0.8629228735583131,0.782462193239077,0.6631915471048263,0.560293774470664,0.5068853690148984,0.47368649111483097,0.4860446783459424,0.5553155174387296,0.5795857295059164,0.7063507220902213,0.5879862863812271,0.6089048039043106,0.5436923384068911,0.5209460063184431,0.46816300076686646,0.45084627025542306,0.4980488463976218,0.751285163654285,0.657881047870435,0.8032552671508445,0.7796081752706692,0.9552449838924602,1.0228199097235369,0.9477444910570036,0.8491489666292001,0.8277496167655188,0.7499575146120758,0.819277603624554,0.6716237475649425,0.5379499905863557,0.5494000606389392,0.6272593450940995,0.915796726457301,0.636156080346581,0.5675731030690127,0.5822470020155209,0.5233169939903033,0.5164177096989659,0.5282516188814926,0.5439786037406031,0.5354002900269103,0.6352003532329066,0.5658665361054132,0.7331631466559415,1.3552466400899725,1.278932116229755,0.6336637699339335,0.5897900470063346,0.5883161938270743,0.5578174724394578,0.6408092812769816,0.6195424908387936,0.5551539695066497,0.5848727710060544,0.6544651989508163,0.7881480764310371,0.8717019484622083,0.8871210470345178,1.1108957004502245,1.0507157878041022,0.8887359791702741,0.807206593531905,0.7135516731638881,0.7253013553034201,0.6898612963927966,0.6638354920993867,0.6377143715667151,0.5817034811926498,0.6324729982004291,0.6581788481474826,0.6590548686336226,0.9006632350453552,0.7201538119958839,0.8468621543086592,0.9729268146864019,0.8657824746267934,0.8751443947942856,0.8869232431744867,1.4262926498639232,1.7106386716987092,1.41012917769698,1.6125632508081884,1.1997365264816533,1.1396981715740233,1.1032443655155517,1.1563611358313894,1.4623637516953105,1.1970551693069966,1.2504450358358132,1.1636094118490845,1.112057130034054,1.1020166996346756,0.9747558454630557,0.9295628114094839,1.0100891779872163,1.0252379569739447,0.957687988845652,0.982076152672789,1.0898870314294657,1.0522244633507498,1.0235462827811848,1.111317446224864,1.1900797615638141,1.0954748502576177,1.112869491364952,1.37116667703776,1.3243956708384053,1.458192036330527,1.4547918174370698,1.364926623393056,1.3900440480805947,1.5349954272755233,1.633605627347732,1.630897745158435,1.272352152214161,1.3307791450871775,1.2926146690316418,1.2338078145507567,1.3167623127472177,1.4450786362933872,1.2935285163959918,1.280495963093741,1.483731379035845,1.4682098386566955,1.313859886098264,1.6011277218747815,1.7399486801051411,1.4433587846475529,1.5411829923267053,1.2366397449321083,1.30631789058372,1.2008381007899487,1.131543029647506,1.1024561860565618,1.1890311217748706,1.0715825937734145,1.061066708655109,1.0670802776569923,0.9997518263388409,1.0065654067880103,0.982302392607059,1.012564158563356,0.999926487277303,1.0093049630084852,1.0987475981455626,1.1270417197917877,1.210839751659882,1.210257875854722,1.2823578538639737,1.2402734384520593,1.2469551144951156,1.0971887657324928,1.1808322791332255,1.3253923207724905,1.1541619623431634,1.158739529833812,1.3026479058835452,1.319397043726827,1.1588140297375018,1.3736401454371667,1.5102818677354453,1.267219678158554,1.2756357129381986,1.489257092263428,1.5237624079859622,1.4182863690311915,1.269038800324634,1.8165076837869094,1.6322739783265596,1.5550954732124387,1.3372724769021347,1.1591906753379424,1.1435782600916522,1.2043988470819733,1.0315114250746995,1.1707509421036582,1.0877628342798946,1.0868304445053634,0.9959708726072826,1.006284045307216,0.8197691123511869,0.9169396107127902,0.8736825067204878,0.8867573099006938,0.9986644389791165,0.925698806210536,0.8958715364268555,0.8569807353191122,1.0065777505550084,0.8187153166516759,1.0841370049392296,1.4289523860829034,1.6385719338538127,2.8040438050486154,4.424289640098158],[0.8928925700599128,0.8572795511741725,0.8796149351890113,0.7186293358257584,0.6575814178718703,0.6155420402629448,0.5584356643488305,0.5506624344057457,0.5671997956178242,0.5053633211999192,0.5101000188558994,0.5708928287412396,0.5107538982572741,0.5338107920168499,0.5972934420015436,0.5223120183516905,0.5590513584147351,0.594385365239649,0.7167087870207787,0.6754163861775122,0.7983546277217534,0.9069523494828652,0.972964718282214,1.046538930728331,1.0771024413872916,0.7969167126221821,0.6711005901812594,0.6400351971382909,0.6156110967509497,0.5568611400704652,0.6061814810928984,0.5268027464276388,0.5718414810104424,0.5792181583998448,0.5701334131568249,0.5888298344222161,0.6183507224890673,0.7024726475883111,0.6546422586406516,0.7692639045859869,0.7843366070167155,0.7572534638310506,0.810380814255927,1.0579907242764202,1.341719883513876,1.8877110729618176,2.3402546848401102,1.3692634822137133,1.4306379339598827,1.984671632304877,1.5797007297472765,1.7575777225887708,1.35121164313876,1.0519073043139366,1.2384991016983287,1.0802710920795244,1.0941561759315246,0.9338817285590673,0.9773912521602397,1.4062810770320318,1.0428761298946558,0.8956151097880397,0.792099424329889,0.851164840771263,0.8843402268135047,0.7792909665982201,0.9678251121771009,0.6900228809664781,0.7880958832624951,0.7803113459395314,0.8927599286338845,1.1364298284249807,0.8503371544019909,0.9523973693654858,0.7457072700728317,1.0701012369449718,0.6787469353834616,0.6515902921734115,0.6805218888940955,0.8550988593009956,0.6674405548013062,0.8429220893216824,0.8157098491059959,0.9407745724947781,0.8775311042050564,0.6493416774649815,0.6372034320520535,0.6934775219408472,0.6307039234715311,0.6121340530557059,0.6562816545037141,1.0511067301153094,0.8279758047283202,0.6153047126862661,0.5879825355805521,0.6867488369258459,0.708327134111297,0.5917708133366314,0.5768232097057138,0.7693626390889918,0.5896562227175786,0.745056360329399,0.6057146312849756,0.6779320150790106,0.7843714384767921,0.8085224148552874,0.951101128419373,0.9788678769011361,0.9157251451849349,0.8864153325779375,0.8003954698391963,0.6805361020466629,0.5747109698989294,0.5484932974458775,0.5332058788788779,0.539458924636872,0.6116633441944657,0.6624814171069126,0.7699876416042906,0.656582001839209,0.6597372982453393,0.6149556148194949,0.5937809347931307,0.5369221120678442,0.5102467910324375,0.5398726905379474,0.7223146956371099,0.6872872932817251,0.8061773476499302,0.8023335842773119,0.9477690857487937,1.0227852868817193,0.9565085341052488,0.8484871141133482,0.8295164343118764,0.7675993002336718,0.8368901916899811,0.6801065958442662,0.5912304768272291,0.6177964262273501,0.712261284595006,0.9764743174168887,0.7169550847576003,0.639863110790772,0.6448967522303172,0.5806717221782336,0.571340801738818,0.568941176457971,0.5591685759689545,0.5573903615849797,0.6329282131748458,0.56603276791867,0.6931678438076716,1.372806462959411,1.285218120423863,0.6214328976998421,0.5818457716589873,0.5984174115893208,0.5656836475415401,0.6415531065785929,0.6434276408811602,0.6043790228236678,0.6433664776708047,0.6876942490554011,0.8403373489769267,0.980170753821027,0.9304855263546653,1.1613399647739744,1.1009735863475605,0.9462529577887357,0.8355711925552488,0.7223384178586868,0.7331000798080239,0.6987523707466978,0.6665170462318037,0.6533345845661991,0.6072732443498022,0.6866058623380621,0.669156436579444,0.7043336079398718,0.9563821094618524,0.7396311955293247,0.8384776617068429,0.9685803438400121,0.8811749245410917,0.9050012538627821,0.9370952176890975,1.4231171048569689,1.7669633445428217,1.442286935805973,1.6325528661479858,1.2446192265251854,1.1914193883172677,1.1435756390310814,1.1706718340655002,1.447522064770226,1.1925557155193747,1.2498990653407276,1.1681965655339612,1.1009238919788278,1.1063755258136598,0.9796197136196625,0.9423857998480146,1.0381688270460039,1.0468753214889317,0.9637870877591219,0.9859313239526379,1.103005347780468,1.0556058861541933,1.0058264521463578,1.099911450217205,1.1859130431357645,1.0947653606157688,1.1103730773522626,1.3391054870879913,1.299905507389287,1.452522063180637,1.4599361188464572,1.3711859031447562,1.4105646688657094,1.5476194219791954,1.6558123637280344,1.6845690531598967,1.3579521506688566,1.3849119626251276,1.316894232713272,1.2171645251306502,1.3364640248352138,1.4811509339061832,1.282740368836602,1.3016829509734795,1.528891958132264,1.517340132230583,1.3271336796424875,1.5550709499861384,1.764713603482488,1.4540665619730573,1.5219946822268715,1.235297738173249,1.270861738196842,1.2017186392446897,1.1317312374078052,1.1283596277170174,1.1967966836829598,1.040178372546077,1.0393428942800316,1.0784385548859101,0.9923620213084519,0.982477198577984,0.9818425178079089,1.017014015564543,0.9904665297402604,1.003614520717487,1.112893529559259,1.1444163624625832,1.2194843406929596,1.2226696351058712,1.3209661027789292,1.258041426376128,1.258717213055614,1.0982472812303288,1.202079155631976,1.340234509560591,1.1661770523295436,1.1779381827771453,1.3198086255683854,1.3271012514249143,1.1761213194285118,1.3827771196212582,1.5158321305896145,1.2808517749446169,1.2969804689082913,1.506554622608743,1.5733472434344826,1.4382428334591653,1.2896684533568052,1.7803890250070007,1.6015096561883446,1.5589535566175559,1.3060418307666304,1.1486676987283273,1.102986609055161,1.1287144574790675,1.0239713188074293,1.2155002047313044,1.1588576571490963,1.11964375543936,1.0150492257676544,1.0130276218795635,0.8481555608617548,0.9425952132847627,0.8802777737785927,0.8786618712920944,1.0004813346713255,0.9221015764049427,0.8740086424831756,0.8454599959036374,0.9703229155224632,0.7673273021312808,1.0671856883497317,1.5340512796698804,1.6484369376562167,2.8180143287108277,4.5770551788095055],[1.0494173085444343,0.9851341089543373,0.9635703263639873,0.8242250210077054,0.7657477500430485,0.7537233296742422,0.6911515499576214,0.6840420557934587,0.6770778787734001,0.6019054323487872,0.610426307769752,0.6861113196617357,0.5958903569459453,0.5923204040015042,0.6384641888677332,0.5717852873370399,0.5741548518315055,0.5900532312990044,0.6882849535896552,0.6502553543251546,0.7541065808724458,0.8601112256103085,1.0087533312006007,1.0494207725503693,1.0993640324492437,0.7913283076981482,0.6565318437201899,0.6361562357678927,0.6236428168361975,0.6014270279515174,0.615189731447129,0.598397058075329,0.6375924961881074,0.6349092132570123,0.6348057939305813,0.6176179090002372,0.6922354142791398,0.7228713794253467,0.6769885689203848,0.7928489838806687,0.8098726724659645,0.7371173684125196,0.8165003460340616,1.064243188033449,1.3472615139323383,1.9050780240952379,2.3774535221098265,1.433754214365004,1.4788028593614195,2.062814553090833,1.6817026173068135,1.8910330963964084,1.484173696401389,1.1741574532927437,1.3967415748629737,1.1795471226719585,1.141179100913686,1.0088748783780195,1.0442067918510163,1.3895012883627047,1.0236256484924768,0.8983716176202178,0.7624043323905328,0.7989811324519582,0.8420412767897674,0.7438378112959987,0.8938699670035141,0.6560355768460516,0.7668013810784473,0.7599812627181017,0.8908064217725455,1.1452731502290348,0.8389138100466728,0.9338152999056738,0.725815784883172,1.0354195347899044,0.6746686206306577,0.6554641435052115,0.7003167273165468,0.8635459382685268,0.7277802895648746,0.893306721927977,0.9014249811995981,1.0994804302347163,0.9735542997850022,0.7452643544175694,0.6664706935129632,0.7661262959675355,0.6554686585828068,0.6766323469825556,0.6556432122457743,0.9913983385894305,0.8036912579429834,0.6373670391657854,0.6251753972122457,0.7313551139995561,0.7577697603630118,0.6721926740174445,0.6823331337984234,0.8949396468086417,0.7023928105597802,0.887799623480186,0.7330115488778335,0.851572370766772,0.9700455847319192,0.9858695836789524,1.1555751904931353,1.1782191629620629,1.1194897597071445,1.0496723878781804,0.9735532060101294,0.8268332667411282,0.7045708366862179,0.6279500875575131,0.5752881159538021,0.5667738928067266,0.6327443743310398,0.6297956497237713,0.7353862912604509,0.6465877514214857,0.6575252087644647,0.6316319060245746,0.5940926394169765,0.5694407515790775,0.5827876695249112,0.6279654870379343,0.8068950458258369,0.8162100496852948,0.9757039883261759,0.9984398174704975,1.1441787939852501,1.2517283416954348,1.1606241070889842,1.0602380889471577,1.006945650857382,0.8850244753155543,0.9466499730931596,0.7704536017423212,0.6334022779006503,0.656079317905395,0.6975314741664523,0.9710962291033743,0.6982046636155085,0.6438987779239674,0.662409050472349,0.6023304704784345,0.6028297507420964,0.6324061924386101,0.6702064903586836,0.6610929554062168,0.7790627023944197,0.7013423463249093,0.7907836168027893,1.4188770224379743,1.3365248975748445,0.7587266912676652,0.7036479025979789,0.7443668790255938,0.680171282306614,0.7887794369146457,0.7488405891479278,0.673789178515589,0.6975654849112473,0.7612790243254106,0.9034626857632926,0.9984756012807461,1.0425240598618444,1.2280121864018676,1.1958545962522444,1.025436721700279,0.9609475768142515,0.8300674116829384,0.8722001410950596,0.8351388098938232,0.7969088951618597,0.7945645756786937,0.7015098707396862,0.8069725350608374,0.7973065165580154,0.8608017831015541,1.0016061633486517,0.9148629217544378,1.0427858227527262,1.1634790347932675,1.0461702661324364,1.0216900003035376,0.9521225739956374,1.448148843382438,1.7373323778931367,1.5101976792172747,1.7093405153552115,1.3059624405882277,1.3077559149786435,1.2820486690717467,1.3385496547640214,1.663935803788868,1.390161744853994,1.481766743545022,1.4143805340645583,1.3175312816922609,1.3759734819104426,1.2355954361580335,1.1790136176843045,1.2831178003283927,1.299590492777491,1.1795867082792049,1.1898546502095442,1.3181131230211933,1.2625152618059052,1.1726871727247117,1.251287041433974,1.3408307817714813,1.2423280787053432,1.2767153517527114,1.4452371937834032,1.400164656424017,1.5787980991021107,1.624542411577821,1.5551075769216771,1.5969845412508648,1.7219682480304268,1.8875234608322502,1.926453127198339,1.6404758708076297,1.7101698405019858,1.6525748888353873,1.5031771695808438,1.6915875641212166,1.8468941645452057,1.6001972074479451,1.62724788656841,1.8771424576750675,1.8466273469834842,1.6462466620591,1.854654984955375,2.0901129485723113,1.7772785107423965,1.754113393213103,1.5226868108429392,1.5439775349338904,1.5080001070571911,1.4113628445724815,1.3995908511087565,1.469922822640537,1.2537366138821786,1.2711050169887375,1.3304905739099013,1.2263632019672215,1.1997122515181564,1.217979547945287,1.235897956622746,1.1765408520127234,1.1923101813067758,1.3125953509255746,1.3181720483953823,1.3674467117783808,1.3747089490920834,1.5030137128763847,1.458363596428734,1.4845161041993375,1.3383627032373209,1.46569401055336,1.570640462728997,1.3961362624990594,1.455465169844011,1.5859438896529805,1.5621784949080064,1.4362654634843488,1.6672349907266575,1.7770279864599259,1.5206626734266893,1.5787481609946818,1.7645778075965326,1.80523389307973,1.6495404990859366,1.4863602816477341,1.9259132616198067,1.684075815709905,1.6813520467370124,1.4165382172523617,1.3035817833457286,1.2268450989606272,1.2538474384993727,1.1883939564948125,1.3847736500680516,1.3950833814403591,1.3453237370845603,1.2206074236916662,1.2239700593078595,1.0219912169355072,1.1404336661211187,1.0844597644074472,1.0826861033710649,1.0767225765204562,1.0786841367347593,1.0516484040832137,1.0183148771664563,1.0452015052163068,0.8989909419549313,1.1974166405130624,1.743507191973512,1.9891827123656858,3.412946724533595,5.298119165803198],[0.8169359960411715,0.8083179517237394,0.8855127164149043,0.7314637384817442,0.7472090602145179,0.6816330113209248,0.6518429589692767,0.6419355661959255,0.6181498213372867,0.5967117331549363,0.5939188494940745,0.6831061508833084,0.6454652741216792,0.6187037062809992,0.6773359410531816,0.6404040628907178,0.6566302896883053,0.6807530035183181,0.7791454005992431,0.7592957953761557,0.8422143865525955,0.9463400688418214,1.1643615139041794,1.170539432198515,1.2222876584910367,0.9013448805871261,0.7922326364767049,0.7489351952672108,0.7271787334558403,0.6869635468064456,0.6771284890848811,0.6815108291165881,0.6917349371052555,0.7211792043955474,0.7475934947702536,0.7339087501132022,0.796301213497124,0.8385365585097307,0.8253337659960627,0.9397733270242633,0.9610380263856871,0.8393049476609802,0.9324918138238181,1.1554425908922874,1.4725886750265098,2.043261298158307,2.4650616129501315,1.5349604585850516,1.5659291660725478,2.13237035725121,1.753806827804856,1.9510402838751721,1.5695212603299007,1.2940975960183703,1.5086685952670842,1.2865709203185114,1.2313344967243791,1.112229959196092,1.150066890133594,1.4369750626992603,1.1179363206586344,1.0089428107831924,0.8666897256240302,0.8797898796877919,0.9304738319620054,0.8521114544334996,0.9118182441922826,0.7399430445524302,0.8470216258839601,0.7811539856548912,0.9266484404169696,1.1665276419566155,0.8593887811896116,0.9864712851256981,0.7710502107339067,1.0458101645379807,0.7915770795498017,0.7624003646854329,0.817707053269826,0.9779998227110978,0.8742547741686848,1.0098926240890598,0.9933769352549975,1.2054549848122684,1.0866919245219153,0.8794651450848872,0.808354657823432,0.8912944757841236,0.7862349564297336,0.8075073788885556,0.7413936476371895,0.9915859363889513,0.8196866479900101,0.6757606750880795,0.660736828264781,0.7201619753397983,0.7527609207499717,0.6921741105967426,0.6822522282888042,0.8689009287344766,0.7321846087652105,0.8912986089681944,0.7866983524201029,0.8774732284037372,1.0136801357200096,1.0010739179633092,1.1530476231743154,1.1799946162826398,1.0932471837885944,1.042447361998422,0.9506719277797494,0.8596243826313512,0.7239086521999177,0.6926874293366025,0.6365632307889952,0.6647408879247609,0.7262248309561797,0.738139684877856,0.8001681410216493,0.7174079263156667,0.7228594352109393,0.6766930287531008,0.6559460747637964,0.6261617695316591,0.6090697666708695,0.6956546164359156,0.8205444523669394,0.8492551300296001,0.9963373579298026,1.0355452823161833,1.1697670909959144,1.2704412647824088,1.2054775032063278,1.1166820185477182,1.0795295524054922,0.9662930864716303,1.0023421577666294,0.8752403745228977,0.7616922713731107,0.7937249397155021,0.844623026594671,1.0971722640074855,0.8347194215844141,0.7860454174549104,0.8039874124224146,0.7361846920585149,0.7255793645991423,0.7193977255905991,0.7382108245302362,0.6607029145786256,0.7673828955024643,0.653197113854893,0.7591280204063692,1.3026663746524005,1.2722777550508138,0.7316078918842188,0.7027496114214777,0.7465010451916504,0.7334108880633997,0.8471364638396778,0.8424506231825492,0.7856469408110658,0.8328782605569514,0.8957703756259415,1.0160745731649978,1.1249519288586058,1.1509284627480267,1.3257697764414738,1.2792537629510068,1.1281604458902637,1.0557551446966276,0.9466202448956197,0.9851085391693423,0.9460079117680382,0.910249055498403,0.8835856249925361,0.7963120036084075,0.9059732837091213,0.9142865803924555,0.9602898443527821,1.068251789877278,0.9869426048039532,1.1207163400639155,1.2454655068811227,1.1528171122778783,1.1493398542297246,1.0740678058266735,1.530930737176731,1.8201402281829655,1.58678308223146,1.7708387384240385,1.384371384919975,1.3789874135028486,1.3412272560042393,1.3893023181186879,1.6903944892482923,1.4115353225742928,1.4698855748283646,1.3718056855044674,1.2854045059880648,1.2797147528527362,1.140630298879505,1.1058448259260965,1.1653906131164251,1.1482904728585932,1.0473732638314945,1.0613121904035336,1.145903973932217,1.0869024562453464,1.0173224715672,1.0749941427163219,1.1516791224297338,1.062314274325365,1.0888638203474907,1.290490907401869,1.242962407895274,1.3959738556408685,1.4243665059102637,1.362156381685769,1.3921728980552435,1.5541714552716093,1.6820215639907377,1.7181303926540674,1.4060759048363638,1.493516748103322,1.4592152325079646,1.3643050261078185,1.5297165524918825,1.6458939629039313,1.4479173002437973,1.496450186270524,1.7266699405042378,1.6868368628383223,1.5242390230120904,1.760852356343915,1.9518649933008014,1.6443620742536007,1.6943237659647,1.435451491011565,1.5046738559870338,1.4231643919501318,1.2958475950182184,1.290073379917129,1.3431228869461107,1.1618029974879622,1.1771101587162296,1.1946728695067388,1.10313117511835,1.111925392538216,1.077008635801968,1.0776273839950303,1.034209342958465,1.0445872727802528,1.130406290891269,1.1353395654977418,1.2011627295005842,1.189808132247024,1.2953365996300708,1.2601244926790731,1.2960171465198569,1.1671814339572557,1.2871239541816977,1.3814199357538508,1.2136089175214235,1.2829904147773867,1.3927673723833511,1.3777391492836728,1.2774722931496738,1.4930120269146137,1.5946448240572948,1.345899121001018,1.428612092508944,1.600316388809798,1.6228474350934112,1.494583945849256,1.3261328147458398,1.8100247661361815,1.5407426899205825,1.489855657221525,1.2513834729800501,1.1329456974243646,1.0870986748055023,1.1399441846884442,1.0582231746346298,1.2344603326341355,1.28948206474152,1.2257996565571294,1.1557212862469033,1.1922693334752548,1.0014356059171137,1.052878640423769,1.004452060101333,0.9806566197138121,0.9790547465479686,0.9942068252846173,0.9430576507592827,0.8936484900084076,0.9651380560694941,0.7864223518392345,1.041104894584479,1.539668436538876,1.862417052892444,3.353174526303993,5.139198193226352],[0.8584155206336999,0.8568198628710844,0.9204733553256071,0.7271897738074474,0.7007876847745756,0.6381108982670373,0.5829058564848119,0.5807271462883202,0.5349118507337742,0.4625488193019135,0.45571130979808416,0.563022984788125,0.49464638576388986,0.46049422525121875,0.5202097949758873,0.47879488707599227,0.5109680928616708,0.515172131017298,0.6374471867208372,0.6078336537196503,0.6855983520988019,0.7366344595195008,1.0467311617550359,1.049778997218488,1.173347100568179,0.7948807843733454,0.636554200318296,0.5926879334909039,0.5786118792629161,0.5477425615564636,0.5193031817185562,0.5388356341232113,0.5612034506115374,0.5652317190517356,0.588830138262031,0.5714334685613485,0.6598025614688521,0.6745963727554273,0.640291256547769,0.7405371311164543,0.7674081164782862,0.69475434432855,0.7765800330877123,1.0397140564584053,1.274858421258891,1.9049059478391783,2.303374045216938,1.3495784787266178,1.4300051235906925,2.039221161010574,1.6166158055099709,1.837822427535275,1.4540716201826176,1.1671559452671898,1.391217492176503,1.118113310414539,1.0920984341599616,0.9976144502789291,1.0224094756510944,1.2941042374684961,0.926934759957768,0.8327029750688615,0.7059379052695597,0.7245318840518812,0.7391372407899693,0.684419122162515,0.7903029528511836,0.5733713983165786,0.7028409449151404,0.6443610326431225,0.7846293232733367,1.023091364359625,0.7339911162631303,0.8640725007166576,0.6289441696623925,0.9669586115803577,0.6239931055485607,0.5962829591504959,0.6479823088803985,0.8006074717289191,0.712766100852118,0.8759545598934523,0.8868198578259208,1.0861887440727556,0.9871530734620007,0.7322345027001674,0.6393627019230431,0.7412168329354931,0.613064410823,0.6180348821565902,0.5710933578921462,0.894366442777299,0.6889390341352748,0.5141649007439323,0.5016757103643538,0.5895436098806112,0.6292646405549182,0.5783408562984348,0.5934387936283019,0.8548325553914126,0.6507606449006723,0.8638355376910324,0.7123641257850454,0.8206845648677593,0.9210678839972568,0.9240901770497069,1.0883004512574923,1.1319242073210931,1.0604285832189486,1.0061173950067226,0.909072271272007,0.7893017608347473,0.659501071600338,0.5933310898484082,0.5090834891692533,0.5330524929295349,0.5927104235055292,0.5928268090420679,0.7114784960353312,0.5634213405872928,0.5726261573769441,0.5339125060427036,0.5166505814421068,0.4871585740184144,0.47663927371075143,0.6027836393062411,0.7792039774132441,0.7919769864145104,0.9507565378740738,0.9680078750249048,1.117993109176665,1.2100392108167546,1.142113921552562,1.0340218655186293,1.0085071036228666,0.9172816167804736,0.958774675211574,0.7905719677730966,0.644917882268134,0.6529135462322392,0.7044844223369543,0.9686671009872446,0.6743818390345139,0.6232195782402525,0.6494452313550799,0.5795665383224422,0.5834891882398578,0.5969046323733598,0.6397426207543416,0.5942200266690507,0.7299891195639011,0.5894098159268772,0.7384819978254181,1.3369364243269821,1.3064519796435727,0.701257694676412,0.6563251632218527,0.6988414084328348,0.6446473528294485,0.7653312760484843,0.7375520063377456,0.664637406910036,0.7112432814501499,0.7700329595493555,0.8927013131477195,1.0134575950265838,1.020125788854522,1.2018116888524073,1.1755124828959163,1.0455705249862317,0.9667119979035397,0.8494979320370489,0.887374026180896,0.8474137240657802,0.801048586982507,0.7870378482687017,0.6937327634173347,0.7933145849572886,0.796558601327897,0.8483774375368545,0.9786024711932652,0.897574611083511,1.0141186260811421,1.1522914237845823,1.0372485108829859,1.0077404503271232,0.8972906079181506,1.2805286786026127,1.6307849318792482,1.3908755437344307,1.588342133556179,1.2535313623087745,1.2341549014212148,1.2138384664781596,1.2577772734689143,1.5927732044623073,1.3529995798400505,1.414817462628824,1.3477860620162196,1.2513490378003016,1.2821285966795488,1.1386188144607123,1.0878883704869589,1.1917961366852605,1.1905256875790455,1.0799227405244158,1.1042050426806767,1.2129129170442823,1.150362986094801,1.0732843745708252,1.1566867026881613,1.2319479683280703,1.1204375098954786,1.1299153004030382,1.3587473753141461,1.3316511844608887,1.4778715597359264,1.5219044194177087,1.4550150577531324,1.4755932476563398,1.6211771415371141,1.6873205882491487,1.7459930746074575,1.4214755261635679,1.5075000312485523,1.4640192484516779,1.3857898313447607,1.5193119963892052,1.6366992969703296,1.4525091566109918,1.4890250925028792,1.6880654699690258,1.6878692491164087,1.5183089088629191,1.7039187720475861,1.9083907916147236,1.6150582652031105,1.6768426926156468,1.4320267148592283,1.4575183749217415,1.395678437749808,1.3101963373568895,1.2930028080957265,1.3507531592378181,1.1801555135136688,1.1959357248278613,1.213669568429281,1.1277260833039753,1.1093996865374802,1.109022498023972,1.1159719300741613,1.0657884532511535,1.0779079092721737,1.188638444613292,1.1960999136428176,1.252169386773247,1.2632028100819854,1.3664039840669275,1.3315273540951267,1.3653190857037298,1.231809299918368,1.3351824847269234,1.4453397045487637,1.2830503261710184,1.324973280043408,1.4489843694174736,1.4451306408154556,1.3271316349736935,1.5243240242022191,1.6208032591592676,1.4140487936553667,1.4512344934574957,1.6148627025502973,1.6592134335669735,1.5491047363070813,1.4110370396297758,1.853713561647393,1.6824154436748286,1.6152065965583933,1.3740521337930593,1.2378762346167786,1.1726127991126218,1.2119372534294153,1.136540160426244,1.3608166865065785,1.3367104597007025,1.2808218083563505,1.1538888448256315,1.1650323455663116,0.9762266719076537,1.0408043432189926,0.9967237844672543,0.9890300308661442,1.0084089767887021,0.9769551926311334,0.941194972782483,0.898026980738757,0.9426259973293662,0.7939842913086751,1.0841977476201692,1.6050259446455433,1.831000461952062,3.244006018970565,5.026927066964987],[1.311794408547886,1.3164642698002558,1.342804155165518,1.0897877222057037,1.0122686437157704,1.0485062539198524,0.9815646837026735,1.002297180489222,0.9392829312028599,0.8942892694837357,0.8939538100276183,0.9369023734740225,0.8797469174788937,0.8759608139620398,0.8818113287490061,0.8673491584611791,0.903991655262703,0.8813082415115812,0.976284729488568,0.9052055813442978,0.9731933009901971,0.9349538750221802,1.2229906098400147,1.2343216754584792,1.36714261898143,1.0624691262676984,0.886905921445144,0.8789519597670638,0.8869541436832364,0.8940730755961227,0.8844676303974665,0.8942230306447669,0.9173388480021721,0.9047631396429164,0.8994715366651725,0.8767806855230272,0.951358309616188,0.916668155649545,0.8224014988621505,0.8340912294144349,0.8735875704414263,0.9265820777863075,0.9323981978159902,1.1456821858055823,1.3194009225548584,1.9489661541284402,2.313760536529545,1.3993799109903553,1.485355427361307,2.0687639980731283,1.6653590557767164,1.9045897160552707,1.5543472866874204,1.28091284986976,1.4988601055084745,1.2109599833935176,1.1994724431129837,1.1382194708792917,1.1463774252589982,1.3968151649499678,1.01885031820824,1.028971430965281,0.9739397545359041,1.006252143661425,0.9507011247107936,0.9392977591556045,1.108460772210313,0.9060599966615793,1.0373036863356844,1.0332631144298854,1.1568258280429506,1.3970607775465933,1.1241146626984349,1.1834806565720268,0.993641296878147,1.2349220903599485,0.9223806388244221,0.9160916522181825,0.938322379993812,0.9904880654184579,0.8886454239301564,1.0245016867326782,1.064955699383797,1.2369651289024888,1.1416171809064632,0.9502925103996233,0.8630876055559139,0.9751448486022535,0.8925545639199012,0.9007992956387821,0.9027832091178168,1.1709412145447782,1.0047292927167064,0.8862386887512218,0.8884073891452584,0.9618140583372086,0.9882346439973978,0.9497673398545986,0.974156945680158,1.275255085016744,0.9952646952134722,1.2281649968568955,1.0396743329886575,1.1769788440949167,1.1669123050457286,1.1914342491248178,1.3624770598897993,1.431568612912827,1.3797323444870515,1.3190727817772698,1.2112681824908356,1.0817363429639126,1.0149560076967783,0.901367625405464,0.8830755707431543,0.8798540094601969,0.9185063352136966,0.9113784263116629,1.0501629738375593,0.928454600239285,0.9492470222300132,0.9214910765916469,0.9040835810560813,0.8766793641928603,0.8714692807710155,0.9166563446785403,1.0686489179307253,1.0764172935694445,1.238602760484791,1.2269885929138418,1.3845922792954546,1.4869550451793618,1.3676158242385734,1.2892737021160503,1.2380154774002219,1.1522926443916575,1.1814520150605714,0.9983067181500471,0.8698665175540036,0.8524435106164003,0.9055904600153155,1.0914488512909537,0.9044335547985825,0.847207368372538,0.8657395662470256,0.8354174281311585,0.8524024746257621,0.9063503491092578,0.958816889077211,0.9833043139110181,1.0989963842326504,1.0179618897284393,1.179840702903292,1.7165706633024225,1.7011310158375803,1.1226796933065462,1.0522444465760694,1.0750962771041628,0.9783128243727865,1.0682644273200723,0.9896857355964453,0.9098693894185335,0.9165758439176189,0.9419082763501461,1.0039971020347342,1.055658047227463,1.1043865863087288,1.2182308248645046,1.218555334782584,1.133102541379347,1.1073989692163093,1.0315700753115735,1.0827813053681554,1.0640407119500284,1.023275434147083,1.0446895289400102,0.9685881097694021,1.0056227304804457,1.0196268571331835,1.0483804015085176,1.0995902686689474,1.1285519838478733,1.228421074355415,1.342501486269227,1.187109493268253,1.0987515745287892,0.9375459926461196,1.2089483596318547,1.5422908429852955,1.3653235649131905,1.5673629486884983,1.286986190193852,1.2679777368906657,1.2836769206467482,1.3558457952486367,1.7608336484396026,1.5710317228418471,1.6960955651548895,1.7045887652870473,1.585752927858522,1.7488635791361764,1.5954346083809527,1.4817933010129858,1.6615905002755569,1.7344186234089598,1.5688938092569584,1.5838335516922717,1.778077888649068,1.7281181588250671,1.5783521762532025,1.7057840303694165,1.8056640928036305,1.6138799300574846,1.5794796092783563,1.8581046650526916,1.8560495253124927,2.044930157045828,2.182666188961542,2.1096993888260336,2.155646662054042,2.301805380835317,2.198575535624372,2.3671971421787115,1.9689663844011192,2.1240493933141438,2.0757513003495704,1.9781674091581423,2.1004700856293193,2.2522410290257073,2.0180987092134344,1.9988550739781177,2.1865388355869095,2.2010687636356643,1.9920310746070102,2.087199896338594,2.3477411315626644,2.072469738965333,2.031234379426936,1.8813354779389493,1.8489410497650234,1.836612012096971,1.8225780951361001,1.7491781476690715,1.8821985062129336,1.654208341087417,1.6897055729083985,1.7596554970563532,1.6675907946746942,1.580261089854153,1.6454737565075617,1.6762072921519475,1.5844199705624744,1.6022820342579305,1.7896219860878635,1.7604953137159653,1.7326354108819135,1.8440344945899867,2.0034269241617157,1.9860480113867622,2.0248139387445088,1.85883136470293,1.9843376910180073,2.1377806717070147,1.9160971878940254,1.9414329511813921,2.1189353329922573,2.0948670714623248,1.9184938496695192,2.1430992447103345,2.2477090621307236,2.0123740654117603,1.9923470009976045,2.190830321591083,2.248141359906872,2.0967254443006476,1.9577194890530283,2.3576534127253552,2.182574285134688,2.2566026259261696,1.9098666517576264,1.7836683078769837,1.6386785193741276,1.649130842060896,1.5851233003469332,1.8232202933393382,1.7445436670264118,1.7460410423212862,1.501030271808616,1.4930959800093375,1.2819604886971143,1.377400904825987,1.3745789632835979,1.435436160852671,1.3449538501967047,1.2857715599414947,1.3595491505509765,1.338886413993508,1.2141943680424014,1.2268236466628653,1.5133785497476298,2.179909347933407,2.398464317138305,4.012935089265282,5.891972759032466],[1.1020824151358206,1.1527947337743436,1.294077772423496,1.023990065421379,1.0252821740143,0.9529628299882232,0.8975570255853951,0.9219944433259242,0.7864911392918136,0.6928680653015818,0.6614211458772834,0.8371906149387792,0.7680424296621109,0.6171918256452431,0.6823470058544103,0.7339806177912727,0.7510055227836533,0.7069037981001783,0.7680531615818256,0.7902636219604589,0.8026668482277385,0.8119843254534669,1.278678841442887,1.1852971831187762,1.36236941075455,0.9438382226175358,0.8571767046276886,0.8025492844017769,0.7973509659263924,0.8410867974218482,0.7286658569748968,0.876674298413415,0.8506507064974587,0.8615361939491035,0.9105657241007438,0.8390135211312906,0.9974040407436295,0.9537319941975163,0.9323744186127534,1.0297151792063517,1.012254902393063,0.9282554484142634,1.0561344229417862,1.2464091147045426,1.3173747812184406,1.861194816030331,2.282724945674712,1.5226945631898499,1.580326415124246,2.222767639881299,1.8532545063362766,2.1825513382124604,1.8275322977825759,1.503409937348626,1.786483213204554,1.4553023078651317,1.3737753628852498,1.3852264764752602,1.4146718203574575,1.4287302059921236,1.0964023122641426,1.0237721133719535,0.8897780905227062,0.8204263171722581,0.8577420674123459,0.8662319760737179,0.8113923273002825,0.73161032280821,0.7569882384096056,0.7484426327775018,0.8062276457888488,0.9679932019760606,0.7807560522817627,0.8730089710964773,0.7204182756417942,0.9900721496500335,0.8778304011238454,0.8679298740412569,0.9425055010768008,1.0483243710962977,1.082125366715207,1.1928527695919922,1.2757819640490387,1.5871919203449754,1.3785339928753941,1.1308277383950875,0.9782491253770887,1.1395746876902175,0.9066268814032051,0.8986626045002561,0.775542649581746,0.9302417949873205,0.7777345731589813,0.7123064439646746,0.6946320276849347,0.702548033763143,0.7351198335501319,0.8193879605861752,0.8826234793149962,1.199661312504755,1.016409672719432,1.2865248211188864,1.1230881249836209,1.260772023585344,1.3768828024330315,1.3440296149621145,1.5823721280400591,1.638101163978259,1.5558337113290177,1.4813291657492829,1.3398470279489965,1.1999798547178324,1.029240507919702,0.9624126449007973,0.7902801638831619,0.7908201767661707,0.7976927310682707,0.7349381096358857,0.7886624166538063,0.7022367610563378,0.6953119297105057,0.69480443115345,0.6883664883541036,0.6864202576212896,0.7175017558523049,0.9554761157251741,1.1555059827482133,1.1873932961867553,1.3913176045793307,1.4380506380991367,1.5893194031637823,1.721914342931115,1.6471301825734892,1.56034538364082,1.4876491031095842,1.368954640419853,1.389716765432701,1.1642916386291007,0.933681884802832,0.9476068143850315,0.8358802183163663,1.0410068823497414,0.8168731303597172,0.8634618334508248,0.932133594389462,0.9048076068972112,0.9128126294214165,0.942597720320917,1.036689590957233,0.9621520676457773,1.1534849282458761,0.9593271259933638,1.1198657900167228,1.526552225201122,1.5310472174402843,1.0941648784126452,1.037851452359239,1.1226818855033371,1.0384718868144949,1.186681685155232,1.1379090748172647,1.0448309795916888,1.0475688806734342,1.1285179855342538,1.2031562375764966,1.1805965646614918,1.3927793484474686,1.4985477598174275,1.5232329898471964,1.3883546245545297,1.3714262064986187,1.2436620329143748,1.3276199044843424,1.2867053930292085,1.245287938975295,1.2348930408008765,1.1079223339395572,1.1971025691683563,1.236685067954984,1.2852471417411881,1.262086996738994,1.3547678703558046,1.513961864714136,1.6292973626705132,1.471978617848291,1.381610625457686,1.173922810246098,1.4405854294351408,1.6365121631436492,1.6161179546535513,1.8107708076870097,1.5220603035333915,1.5868200516455224,1.6231997023894946,1.6699556900169714,2.0397391536982323,1.813728257974061,1.9231764343459843,1.878962419776994,1.7341782010613316,1.8452567745845878,1.6812860803628373,1.5828057586192095,1.7208071779303176,1.738551529969736,1.561693421949096,1.5578183399253804,1.7049578702502342,1.6253304943869724,1.4711786173364927,1.5422490012512822,1.6119200189285592,1.4577805944432898,1.4129907831715853,1.6383508329462009,1.6351826359486714,1.8080703924284842,1.960134165578502,1.9434297177157267,1.9538084175011752,2.1305874412971137,2.0565587327886603,2.26990113999622,1.9358150987284934,2.1143979176461456,2.098217165367562,2.0131743935966138,2.199207611166726,2.2989924362687413,2.1041055733841887,2.1414203987571994,2.36457805398114,2.3471903453150844,2.15665088858946,2.2680294638437344,2.5187562398587784,2.2546375202298123,2.188679520254372,2.0260077286772247,2.028343767917161,1.9969555930092662,1.9041457605063552,1.8473047521507557,1.9509283604645995,1.727577387374418,1.7593356413082324,1.772434929562239,1.6660384237073371,1.61869079593995,1.6392359101581158,1.6175852996689692,1.506798621594124,1.5227188557815725,1.6728670661667038,1.624414735254983,1.5865785783687132,1.6648758304986924,1.8139871827189233,1.8154017975202232,1.8989631204581052,1.798882079577838,1.9381972014863225,2.01292671390926,1.8248431188436116,1.9246416289702557,2.0455275132753865,2.0011896474531423,1.9258083452362365,2.1423389421797108,2.1934428187861728,1.9771661497002726,2.050758774249335,2.1926304203020996,2.2068007237511686,2.0827430605262447,1.929464443607763,2.2927811792657877,2.0329012775596387,2.0026019585301964,1.7110030829233138,1.6587845243966248,1.4897116952321836,1.514371774488218,1.5242220913259374,1.7868382164182726,1.8484988633264423,1.8052998965463194,1.59106577598519,1.6334082316439305,1.3932788042583515,1.4330831056778148,1.4542608268850918,1.4854468472552091,1.3803147263721582,1.338053123875056,1.363122907889281,1.3275883427131072,1.1941922551298023,1.1632249591215862,1.4298962298283515,2.0913321000211855,2.5309196434207375,4.278178506274761,6.189651263539515],[0.9387699155074729,0.983992859496741,1.1456361670501716,0.974626020985484,1.0001029571913231,0.9092491780219626,0.8976336197765046,0.9044818986594709,0.8157609611435735,0.7753092771740377,0.7575464090124627,0.9045243029387285,0.856824732458224,0.7645398663641756,0.827989358012469,0.862522857224552,0.8981493621563639,0.8914636268422896,0.9823195721534494,0.9668188438435044,0.9544635762053256,0.8831682494781553,1.4950825829964989,1.3245057363119512,1.5471779266579635,1.1365031729793345,1.0350185623359878,0.9835858789106658,0.9640714164964163,0.9614296212096507,0.8842069453008756,0.981558453703195,0.9686187433312449,0.982326565141539,1.0209898152976427,0.9687788285290625,1.0887272702557136,1.0627732884349497,1.032039365641961,1.0587241765651527,1.0943719192719066,1.0812502808675524,1.2127166292841347,1.4027418390593294,1.3366722826219777,1.8251922616840548,2.2451674781687876,1.5846282529937366,1.6371209532459117,2.265166675888039,1.9031620411344607,2.2422229109571625,1.9301615474597134,1.6063191011720857,1.8734456936385162,1.547458568320986,1.4922425529581766,1.534005188595896,1.5542733461082423,1.4680382744027551,1.2020329772489562,1.1707744319590134,1.0425675811345698,0.9674642409730596,0.9892460700775535,1.00583149597539,0.9358170824942168,0.9276191050653869,0.9466590119102569,0.9162434642762848,0.928296205205031,1.0377584695712996,0.9348802827058345,1.038870403883346,0.8827628165853884,1.1351795749100468,1.0557440249745222,1.0191306573197647,1.0606031877866682,1.1446146282913587,1.1748963260263978,1.2400425624169216,1.3603857736389795,1.6370021534544557,1.4521732719072984,1.2193228215799266,1.079170863418124,1.1938846617590724,1.043565943405523,1.023657027208132,0.9264271102946984,1.0379690532587402,0.9129833184986235,0.859064425414268,0.8290331354683849,0.8332630116203785,0.8518382592414824,0.9178701511362196,0.9481404490423591,1.1800867321371713,1.0564483114077898,1.2368499265203141,1.1395697125707058,1.225363335009767,1.3363903995021404,1.3030561140290369,1.4778672395099368,1.5262224357130472,1.4230125876400876,1.3558595217907714,1.2486022041595912,1.1807625725684487,1.0401273724840532,1.0262371717269458,0.9017100463280886,0.9388643699780425,0.9782436596832864,0.9352916456997251,1.0099930535469235,0.900135989511995,0.9085333270709789,0.8656257464420031,0.8619610044193083,0.8286493031302872,0.8178851097212954,1.0263033400833195,1.1457301256765147,1.1758688539144535,1.3442918828939605,1.3895940038710404,1.5223128196484843,1.6167348693207653,1.5860205483343293,1.4992176853651034,1.4807044410441559,1.3758481303140733,1.384157079050532,1.2363557970684478,1.059772013368701,1.0735514047711257,1.024980109126777,1.1988644571292295,0.9974695599541121,1.0199511585982373,1.0835693717645516,1.0237230959439316,1.0252887683951284,1.0263837350736311,1.0765728295457404,0.9852401406125496,1.1120503930355592,0.9393383281625882,1.0264002850355278,1.4546475917140045,1.4692413028468474,1.06107027803866,1.051223908491664,1.1001144496995423,1.0758101697893752,1.1883796867855951,1.1818437382493328,1.1167162163911277,1.1514631487666531,1.2157559889768077,1.2493719520107378,1.22705666106907,1.4265123315463404,1.5159729793353116,1.5237905427445626,1.4463957818056519,1.4126966369468237,1.320554971100543,1.3830949946633488,1.3351144007596374,1.2954155900850095,1.249423548008778,1.154243731708915,1.2262779302408953,1.2762234325913615,1.2762178705854563,1.2644737294529325,1.3432209160882027,1.485885915857701,1.6040836683138997,1.4728626082606584,1.4128446226418034,1.1850258458246044,1.3539702187173481,1.541703718721251,1.5909560924172925,1.7499017583347698,1.4971455186885254,1.5212560237825352,1.5563466884617339,1.5831440594643045,1.946553913858677,1.7225916286946297,1.772130490088724,1.6946651787480358,1.5728019993016393,1.581226174644535,1.4416164785942518,1.3926230986291515,1.459290770384813,1.4170484332624484,1.300229954125311,1.3117000185159777,1.363582052228845,1.2816913867267024,1.205290956505675,1.2229220939058025,1.2657207195612137,1.1882373603317198,1.204078611368977,1.361450535136128,1.330875639565117,1.454707112426801,1.4823847641508243,1.4759885491003069,1.460781584679022,1.6142645518304373,1.7258150699094608,1.8109071510312722,1.5053908331603425,1.6452607358824363,1.6406011143447012,1.6115722159218515,1.7718897653529047,1.827250259607993,1.6968227249458756,1.7632954432025867,1.9393600224809602,1.9276051606755331,1.8131182290265602,2.001219147757865,2.183751826142562,1.8983015951879405,1.9957075382927987,1.7561220577650825,1.8108046772109923,1.7221904834207258,1.586969590697904,1.5744381456721361,1.6015648396125717,1.4566517844190316,1.4801282780206777,1.4291726462683427,1.3573970900588535,1.3691018293143027,1.329640521442425,1.2934311418461728,1.2290101847820372,1.2383906926658574,1.3095242793598147,1.293845072921775,1.3396742324510285,1.3210630695754966,1.4017551338990508,1.3908182552225659,1.4531012800360217,1.380897587236341,1.4747038705755773,1.5047219267641876,1.3966571205736116,1.4966435560698554,1.5494860878481014,1.5245303600184006,1.5155434720104195,1.653520951222134,1.695268450793723,1.541117649733478,1.669125906261158,1.7427008366114032,1.736876792698774,1.657939102896013,1.5384008215656668,1.8897992876708702,1.673215318921928,1.5312417789573791,1.3839765437701097,1.326376739072679,1.264285317145077,1.3239664611861592,1.3018719794609206,1.5471347888071598,1.6402460923995634,1.543076979729095,1.4538493937055583,1.4939817924109011,1.3073095965165686,1.2985948622168948,1.28749646780824,1.2549200765249386,1.2291471641455853,1.22148704089456,1.1700973712027105,1.1292351455482972,1.132982658573728,1.0376923944292473,1.2194947298158056,1.7156446597455663,2.1445343279454185,3.722632368810378,5.5132935180888065],[1.2406688377036097,1.3552352864506507,1.4928120246832255,1.3580145665103784,1.3252597853147206,1.320168297999853,1.2865865426880818,1.283199737283177,1.1910378617338415,1.139825945837569,1.113903964776871,1.2036431003753167,1.1840597774676709,1.095244849736994,1.1344999797084394,1.1565213144041806,1.145983953369617,1.1079546370559343,1.1201723088945512,1.1195877561629655,1.0652439668710079,1.0408217514901195,1.418554060432706,1.3134363827396605,1.5130640723618154,1.1952582295747376,1.1406811086516435,1.1403951474118805,1.1687968132880717,1.2166061193414994,1.1409907893803037,1.2587235694355565,1.2369065162111907,1.2234716939579324,1.2506693863120717,1.1963793078038099,1.31214712745603,1.2110970291460506,1.1874095301106256,1.2055281210693598,1.2048874534525398,1.1380412563585156,1.2113225662612006,1.3384189472461467,1.4081436333407789,1.9894001648013513,2.33303257010854,1.5208569513455241,1.5921880448311263,2.2272800666833388,1.8344329228023448,2.142353192295961,1.887946653544249,1.6259341048018894,1.8546751396517362,1.4854542370277082,1.409599422627738,1.5169119041617138,1.531703718278227,1.3818505813830337,1.2215589247302394,1.2567394073440419,1.1925268787035852,1.1480307249634008,1.0681715949472892,1.1511303347100685,1.0481357044839428,1.100425430643663,1.1324599439181537,1.1073554770842968,1.1204232059384724,1.2329041445627722,1.102009480054614,1.1635511518297679,1.0913626034056962,1.2932484124446149,1.1968328590952748,1.1998734848433148,1.2118078591294594,1.2429804056884315,1.3392218669988474,1.368357444385187,1.4605269117467643,1.658523117634175,1.5640886810361612,1.3802178100233327,1.2409111367824428,1.381991810547951,1.2095291006597615,1.2179251510839475,1.1533186740302044,1.2125033625275838,1.1288202951293607,1.1523880735340148,1.1412067127625105,1.1399027276811224,1.1441138599869545,1.2217541012540232,1.2641021317627097,1.5379096714453706,1.3450171296559215,1.6092989030029774,1.4153617942965093,1.5089605447929095,1.5377099292539445,1.5362245161463404,1.666859100322675,1.7155126923474224,1.666077423329142,1.6456509543931508,1.5527910751533736,1.4565370905313786,1.3597769642807136,1.2853505209813685,1.1751452658736223,1.1649236313098625,1.1568165787607751,1.0874075510005479,1.1151908550627696,1.0895428359979025,1.1069732022995349,1.0719490757806245,1.0774218253814203,1.1133619000446922,1.1520013603445767,1.3048859396756052,1.4455291791431704,1.4709674249043,1.615696296984955,1.6171330503281856,1.7241150193269732,1.7925485752034596,1.7109225453826096,1.6643584084571816,1.6373144811256977,1.5923438940435892,1.585339328295574,1.4250553228665557,1.2445543387883624,1.2304739646757645,1.1450750859814196,1.2819063843922893,1.1179952824353772,1.165431234766408,1.2130212267258467,1.213365993456934,1.221108413503591,1.255621719542739,1.3396994494361671,1.3124416558395124,1.4376196468131897,1.285822951244698,1.3477151659786661,1.6678387910869024,1.804198128931332,1.395644497767657,1.3768410102463033,1.4132958795915427,1.3501666173410882,1.447333385887368,1.4072159292523543,1.3105676401485749,1.327296258309827,1.3653332444058763,1.3978712150884598,1.3366855200648482,1.4833086654759147,1.5233198814831086,1.5637875890611883,1.5165556631695662,1.515646745339697,1.4601185077869752,1.545306466090441,1.5160555527577138,1.4763483812215952,1.4596312386024486,1.384142772164974,1.419752048265754,1.453522476545375,1.447450749700837,1.4014387638405803,1.54390428423398,1.6416595046271292,1.7139241666520995,1.5967549755242583,1.5116813514031093,1.2975643232491156,1.402245812017683,1.6146834887260648,1.6186650517715322,1.7537615124346628,1.5875392932197507,1.5829195163657284,1.611654804749911,1.643994578498125,1.9588161803295296,1.8298180906252979,1.917031204774118,1.9108517104015008,1.8238719502743075,1.85428337010703,1.7325602727813052,1.6985057183306078,1.7825126997833343,1.7463171387931051,1.6489963106872974,1.703365941498874,1.7237857091720232,1.6215469199721375,1.5586218024239793,1.5899269596310674,1.5746176537625494,1.4840147882924475,1.4732651237994892,1.578183716379918,1.6272423223622863,1.6917774498292744,1.8196766194677592,1.8316924866599449,1.7825887443348551,1.9087177840964311,1.839483440799388,1.9936427831713426,1.6553591136076236,1.880440687221011,1.879856586480152,1.872683990665993,1.9875642533703453,2.0756937121380616,1.940799269639705,1.9724339960987627,2.0933118937672446,2.1281608050261824,2.0062694803103667,2.099602210941195,2.2943553715922973,2.046565309828711,2.176130101440232,1.9872266803604592,2.014742823387033,1.9276784003344578,1.8374776411183043,1.7989746034503966,1.8621600248904115,1.7121755434490675,1.7615607865972827,1.7042035377964984,1.6701007483984722,1.6605744021710493,1.6427712734777324,1.604906080750478,1.5415964788429852,1.5521555811508003,1.6160042330035356,1.5826328170331725,1.5943463432046527,1.60758476325181,1.6850887144203819,1.6888674253761937,1.7647079284271032,1.709228436731859,1.7802421871896108,1.8241588801322388,1.740767973072,1.7925284102565484,1.850799911339635,1.8442494615339255,1.8184620884913096,1.9114955267245541,1.9363336106953706,1.838634087763111,1.8963147133330378,1.9050857283885947,1.9443356945732495,1.87093267399989,1.8315699573370428,2.0045178668509425,1.969741380564939,1.8943901695858194,1.8141801709490808,1.7450344090686092,1.6820044263256637,1.7620451128999834,1.7734542954545616,1.9738849705108956,1.9370634094061152,1.8829801504629824,1.771595353524935,1.7779527973303402,1.628947222232661,1.636381724092769,1.6177854892383623,1.577969870307948,1.5712801765334519,1.5424156954781816,1.4956501992572817,1.447875089150183,1.3989758215290482,1.3583199931776613,1.5341795803946017,2.1181872956583563,2.337595840332328,3.8793550445279323,5.7367125587793355],[0.7017568261391308,0.7220780841587141,0.8541813607636457,0.6981678721838591,0.7295516775200607,0.6438887300738153,0.6356141040386691,0.6190507920270396,0.5883057755059276,0.5389472499475318,0.5208910595833546,0.6244683292794463,0.5991469262568822,0.5407956278896635,0.6021740945429434,0.5953362210522305,0.6421554959467607,0.6497932572344697,0.7654929326403809,0.716257156675488,0.7356305842625407,0.6872819077591827,1.2197270342306221,1.1242081613415686,1.3307118795309407,0.9249771802742525,0.7702499782594805,0.7288407839920694,0.7014564401275762,0.6737499286907699,0.6237662785057186,0.6802450407410404,0.6731780808751253,0.6950940814096336,0.7253280205054821,0.7021819839776182,0.7950074692027268,0.7849741298724662,0.7567438249863502,0.7966364729396374,0.8481783108660156,0.8123939149226814,0.9154816566049908,1.1569234970172106,1.1918766739470747,1.7909798648420272,2.18585532072997,1.3488328746878795,1.4360007906076977,2.116557263612459,1.6884270246019795,1.969526558318099,1.6346273232595618,1.3411140763621923,1.5777251915639434,1.234353917050839,1.1919688173535465,1.2186225134587703,1.224306057403354,1.2444635607375512,0.9436474659582793,0.9253307366809862,0.8061400171522785,0.7772252503570276,0.7452019523615255,0.7769710434398438,0.7480295023746928,0.6796712150108641,0.7664761159738157,0.7234917010104814,0.8004753372600507,0.967696519871032,0.7689818466973336,0.8757523301565626,0.6849660208228279,0.9881174756606835,0.7829520494969024,0.7374796073681933,0.7772593928235246,0.878858032709638,0.8647773369579906,0.9573007501085818,1.0218566507057942,1.2572300881613456,1.164999686689422,0.9012496898560399,0.7835857804550322,0.8999204525917365,0.7504668228984892,0.7350236392940407,0.6641125322237039,0.8723682842540286,0.7133397729376231,0.6111249333690235,0.5900497060415267,0.6329752533056758,0.6617093675347553,0.6440031589592536,0.6585246543977239,0.9150907127696097,0.7438606461800333,0.9440180354231835,0.8155497436413426,0.8885586420903134,0.9889515847531187,0.9697796342294044,1.1094354555364576,1.1563657899615607,1.0694928794236063,1.0305385517913908,0.9287155808844206,0.8673366515508188,0.7513176073463906,0.7271295508677286,0.6283637358456231,0.6911432192039683,0.7451825222714528,0.722842913006181,0.8060067387880808,0.6807744683967717,0.703402419575374,0.639696629079537,0.6474451723078097,0.5986232494136751,0.5669789194653664,0.7464903663842072,0.8425907331123601,0.8941435674721508,1.022597640332894,1.0437636984193062,1.1807937670886002,1.2469890333886784,1.2212630841729206,1.1254325646412096,1.1392017903852054,1.0746055378854982,1.093403534975219,0.9689624219967302,0.8192614614515862,0.8142829687342632,0.8362886469329871,1.036671631737526,0.7789922169006841,0.7700591803112075,0.8143664361358155,0.7443459899518087,0.7452610508152877,0.7256600799545548,0.7592992787462416,0.6952126705906961,0.7879584203641757,0.627232898296135,0.7459772254934706,1.3141830260181744,1.3023859278131698,0.748145639121162,0.74273474249079,0.769125433081174,0.7502811116954001,0.8570292295447429,0.8760657376678986,0.8075504343018874,0.8764146585349568,0.9237069399265987,1.0005762827685714,1.0208151338333773,1.1432177375364307,1.2821360986890153,1.2687628568195426,1.194325587767167,1.1174888891948482,1.0259367041056244,1.0693938213108731,1.0136299187436988,0.959821081007184,0.9081294171413221,0.8347871163754084,0.8857944615643849,0.9364618313737674,0.9382906297355349,1.0029648636597086,1.0037217274513486,1.1308764279339183,1.26409881660575,1.1562117516168844,1.1241330805250083,0.9393748976267712,1.1826747172231094,1.4828341169722956,1.3824628093076639,1.5633442391386512,1.3022230765032983,1.2653995458700469,1.2494104909786383,1.2485244386549845,1.5761420035889167,1.376696446272652,1.3846725333364724,1.3076275459142617,1.2219266006861553,1.1869314868263208,1.0580045236354205,1.035615511411106,1.096632512639395,1.0540362982384288,0.9700937072537004,1.0060893503206483,1.0687868277185673,0.9893571220147239,0.9386472775973999,1.0048006535910121,1.0661402527463775,0.9730629897374943,0.9963048533303434,1.2361867496065178,1.211811002935647,1.3165754307820858,1.3059509241918608,1.2415943297713055,1.2436619033986627,1.4069802012139323,1.5193089928157868,1.5485417390399532,1.2746816793821065,1.2900197927363664,1.2515263220060748,1.2288239204306088,1.337848903591983,1.4313565550018161,1.293993059547558,1.3413230676721462,1.5153657212592857,1.530729920728945,1.3936001486756355,1.5916077176963965,1.7765935998372877,1.4930318166084051,1.6919057220492415,1.3482030854366185,1.4093357669823117,1.2996624877436433,1.1924967473723143,1.1950386225716405,1.2246637308076078,1.097257433492553,1.110872210445382,1.0751312651173208,1.0015155615402431,1.0176772499837907,0.9752387064866567,0.9643794347394457,0.9433627026227089,0.9401826273916677,1.009551269207582,1.020099439678292,1.112092154076363,1.0750430989411213,1.1509560290958964,1.1185483738657547,1.1479711076468957,1.0567415462635807,1.138258001831745,1.2124612819782923,1.0969100974260713,1.140150613344485,1.2305688408434259,1.2373495129966376,1.1604983412819454,1.3236312297760873,1.4273216913892708,1.245595075430846,1.3162254670364812,1.4252487166454018,1.4869169098910662,1.3901920564488504,1.2732648295496822,1.6640564024314655,1.5967506670977325,1.4478901769344064,1.2503596486884387,1.100586573273957,1.0553686861212774,1.1127201672214617,1.063146864231287,1.3082257826523624,1.2878837498149933,1.2082215320243697,1.1377521027175794,1.1503754601756975,1.0109618878410676,1.009957626458274,0.9551794670904875,0.9081285437390798,0.9840146723026445,0.9449680872459905,0.8558844551564667,0.8018816529125716,0.9271728913848107,0.7294869493947093,0.9695764725820376,1.3397449955591674,1.5609881416952092,2.80335117179594,4.4452165055229935],[0.8865042949290254,0.8952927326409362,0.9367462395207253,0.7865982839851726,0.7479277414296296,0.6896772612754958,0.5873954389817283,0.569710970424929,0.5204221621474157,0.4525874960178274,0.43662102482874504,0.5439672498687147,0.48476714420247796,0.4736167697186924,0.5329349917094073,0.48339263818480405,0.5019714758933962,0.4964107515278219,0.6260101084669293,0.572788952954114,0.6372465146637467,0.6843735401640294,0.9115903632628953,0.9512181653596914,1.1064964093982945,0.7624675883552223,0.6236922293785381,0.556088046509804,0.5310843291691941,0.5090658280733068,0.5018561270623024,0.5147129698838966,0.5208215532858765,0.5350490819784905,0.5428551512817467,0.5396163939995873,0.5851781247324943,0.6191976227956756,0.5892963293112645,0.6458337718842189,0.7636808368671748,0.6421579019870929,0.7119243597367975,0.9759882214980792,1.202446312052159,1.8584926778542161,2.252905253293999,1.2970058982632824,1.4235707880395125,2.0554283485146585,1.5728800256859274,1.7439617000402428,1.37268131009553,1.1218569165906551,1.3615115694296858,1.0037399601461277,0.9962758955859596,0.9061277292792997,0.9181929850107162,1.1776754186662206,0.8461991710433786,0.7575117474480063,0.6444325963966436,0.6760474624015813,0.6624613339017829,0.6136895401164365,0.783147830148843,0.553168616905808,0.6649493025228371,0.6636386500432815,0.7838285830421042,1.0087415685525958,0.7484383387275767,0.8360251056421325,0.5886492919119855,0.9108980848604982,0.5908700168115003,0.5559547563056242,0.5991740008626738,0.7114643643833686,0.6356416233144934,0.7973930526955015,0.8171631843039321,0.983722798624507,1.0163781019101747,0.6716709616897666,0.5969120379848449,0.6952724212860303,0.5677791292977099,0.5806769309073938,0.5345010538783925,0.8437924919357324,0.638125108108032,0.5224152173356057,0.5019247960750306,0.5772460546078325,0.5967199749049453,0.5402591758093,0.5505263504673205,0.8401878324931842,0.6278086572334131,0.8123284018169682,0.6625107141102022,0.7491644299318775,0.8337660314740384,0.8415465751385642,0.9911271100492725,1.0196411042348383,0.9785513382699124,0.9483571632989714,0.8627795759262334,0.7341759194254038,0.6402609462544115,0.6028545777721379,0.5048938222288804,0.5417938724147159,0.5700463223583933,0.565659576572628,0.6804794229531813,0.5456394042167152,0.5736830429676124,0.5258461146969574,0.5175359435480791,0.49372288127822905,0.494523371443971,0.6274088131127054,0.7891688778709369,0.8038168711062588,0.9114117870008664,0.8993459037337732,1.044810036865909,1.105255552588956,1.0480261123507837,0.944761387927693,0.9558039447734457,0.9302140304822639,0.9637694391780497,0.8220302773897341,0.6541675333821508,0.6201123303244498,0.6790749030464057,0.9015330371985564,0.6258995737093755,0.5813346649134755,0.6094128262145917,0.5565728122003121,0.5643275563307556,0.5739208121982725,0.5975346709395066,0.5869508173970956,0.7041571137182546,0.5779109383451653,0.7576864981214488,1.406170924139594,1.391361860828675,0.6742706527971398,0.6236547375007578,0.6449366296357426,0.6041773213410513,0.7069142831232106,0.7061696947262598,0.6116157555871603,0.67514445520831,0.7194622033332992,0.7993159759116839,0.8880707911376673,0.9298172448836904,1.0940187934393633,1.094705313270131,0.99803371954996,0.9155435507288484,0.8246574640432474,0.8564717847148154,0.8043039087044652,0.7517016631493543,0.7269411008535147,0.6732132243509011,0.7284010336586315,0.7360100401195276,0.75610907747078,0.8304401557565229,0.8093304328026601,0.9113791893872862,1.0384205018974517,0.9396963155322293,0.9061402588466363,0.7920581549942102,1.1015307924916071,1.5608501215321202,1.2740282670023386,1.450928259788162,1.1955421022146193,1.121825884360833,1.092422897315014,1.0708475289897323,1.3954046383847076,1.2307038645943786,1.2402122118338026,1.2140105921665993,1.1652626037383644,1.1624433768753781,1.0497585029367125,1.0239215196596616,1.1262604436254338,1.1210676976011649,1.0527811091813464,1.1058186306156959,1.1925980336147175,1.1297344149196027,1.0876748138017367,1.1729438752987542,1.2227326684842414,1.1345268623510776,1.1547035142429336,1.333265909098025,1.3329827296754413,1.4290709260032841,1.4550536256133493,1.391137104144466,1.401246965007434,1.5289077246058511,1.6290199336201265,1.6388636124215827,1.3352000863679006,1.3555404208850277,1.3022301374476513,1.2481294207465117,1.3420325537832365,1.4799248232838123,1.306382037651971,1.30342207750593,1.496114012515485,1.5384883402427914,1.3462146016291086,1.4961812184899366,1.7291469704156426,1.455419516021165,1.6487729064467898,1.2985102233362258,1.318730582259267,1.2172500063120717,1.1666486028819882,1.1501770690442195,1.2355414456048823,1.0875503226589447,1.1037698305655286,1.1217351464807488,1.0629179406846854,1.0495502600927349,1.0454053146388944,1.0803327049543994,1.0752058741343067,1.0762471953692279,1.1562675417392134,1.1869616653086403,1.2491565347831541,1.238401049826188,1.307994386227657,1.2612540871831057,1.269429573674858,1.1507506241396541,1.2234797847308443,1.3402092662565996,1.2167849252542262,1.210061059377913,1.3299974062053563,1.3434161904636146,1.22501743088422,1.3786021319328818,1.4948991588469263,1.3294041762567141,1.3574237457715947,1.4492255948285937,1.5543019665850317,1.4405856224057838,1.354253408071232,1.6923038272206499,1.6904617799230277,1.578847216347371,1.3893343482081248,1.2476273262367439,1.1956880391223574,1.2196650154977318,1.2073693435303534,1.4072041951413707,1.29116072601169,1.2599833845166584,1.1163341340448252,1.0899555599304172,0.9569946174218047,1.0267824271707287,0.9488998833508047,0.9536847591831692,1.094071842143521,0.944667758779025,0.935954774833554,0.8866284820734396,0.9524942441129692,0.8054791737381956,1.0862604140237027,1.50934157909292,1.4757110066826642,2.5369947635451533,4.141044377130703],[0.9468882524996958,0.9268807458738698,0.9387410526087222,0.7789205069569842,0.7171232806404125,0.6759965152286305,0.5762179592047783,0.5678973459103052,0.5738944873119055,0.4748581433906751,0.4732662982381823,0.5789209491689238,0.47813308852646635,0.49084096385583575,0.5612451504484841,0.4948770232651656,0.49933147143944584,0.5161117178257881,0.6249668787122502,0.5786173690041845,0.6953507398385609,0.7584456550362391,0.9176924176671621,0.9722916140787015,1.0819101200467771,0.7567709491667938,0.5920827581956021,0.5584952263281342,0.5397052895656459,0.5003912401419445,0.5479043213249446,0.5018569932668372,0.5464682832716071,0.5321391089715457,0.5304303179898088,0.5282243145735608,0.5694764152365328,0.6131400738294741,0.5472817602967887,0.626099683756262,0.6815330229503095,0.6693018459438089,0.7247826359686981,1.0052647006309794,1.1905315762690822,1.785949045837324,2.2112085142146225,1.2855816132381692,1.4016463404339572,2.006514758650551,1.5544513475615551,1.7261029634183438,1.322018596253484,1.0325428377869796,1.2596244568130832,0.9901478808854686,1.0185757519164735,0.8887226735361041,0.920188723216713,1.2930753323878497,0.9106578834250251,0.7969766262742302,0.6599787414181936,0.7135679399980278,0.7382716560718048,0.657952418914842,0.8660657418810515,0.5917534331062567,0.693910307477735,0.7187905263414187,0.8291576340937338,1.0673048722874272,0.8053436857434074,0.8692342418522904,0.6658738877343832,1.0019564611745724,0.6096775882191297,0.5776774315756652,0.6176553599815933,0.73217459663796,0.5712288905455247,0.7503114778333101,0.7705664879282768,0.9029796151648349,0.887139910790178,0.5947728497839687,0.5412658793253148,0.6368043253188606,0.5584560569596404,0.5604383124492064,0.581431525964609,0.9820584322682161,0.7515171442136778,0.5585191555501817,0.5317775050699004,0.6384900678351078,0.6483916500184891,0.5662220438534287,0.5664705135654609,0.8203704196452316,0.603833831010478,0.7527689502632874,0.5953545434180966,0.6945871447286233,0.7705172545703518,0.7941661768388274,0.9448678682405777,0.9699326877953885,0.92081079674774,0.8824581575007364,0.7971189644661172,0.6807251662788795,0.5923434864268762,0.5381566827710607,0.4821418805959895,0.5029846736241352,0.5521751127288655,0.5667525948615375,0.6768540474200434,0.5663165916306201,0.585876093360012,0.5621636516731607,0.5318585236307938,0.47769454255777993,0.487497138535033,0.5453894688091471,0.7468420249581004,0.7176842864714176,0.8211606485864826,0.8006313531764156,0.9456883697784486,1.0113165139754967,0.950970544643582,0.8486754519761179,0.8451592195216248,0.8091580769297727,0.8552642267600205,0.7235500460474034,0.5782101092885295,0.5658225262033065,0.6346605485816157,0.874229858666747,0.6042154225260984,0.5385114565602755,0.5565074491665793,0.49381574680319107,0.5002145228360456,0.526542717588624,0.5386815339885713,0.5567222432634856,0.6728709647735078,0.5975495034388904,0.7613199961711512,1.456355225365822,1.3890786803526203,0.6721659420414158,0.6131187737951569,0.6154845838478336,0.5565330254191445,0.6357075757693563,0.6292501287376504,0.552590956272153,0.5858257443764003,0.6362927966727128,0.7470810892951169,0.8697281476157761,0.8622965441043078,1.0691776022416557,1.045267748726564,0.9160454086719533,0.8201542162860428,0.7169761451832717,0.7345764212684802,0.6943113344886022,0.6555550471415653,0.6529143863523487,0.6116070854239347,0.6826714476252954,0.6496200791034107,0.6796523961049171,0.8612268314181842,0.7221029245949693,0.8154319087807437,0.9315442534438648,0.8366530021541945,0.8179920696197502,0.7809648113140745,1.1630402062111909,1.5865578067015096,1.2687488846174448,1.4668298292208848,1.1566052647831122,1.0910345367364709,1.048764745310462,1.0531845034321068,1.3743005052478323,1.1635518340183577,1.1908797000888673,1.1551490074200064,1.0812844116589062,1.1179175616430908,0.9967775496634054,0.9519648389571301,1.0753586484343591,1.100291305090575,1.0190097182529394,1.0626672249164055,1.1851774673259226,1.136276514109435,1.0862537584168754,1.1862247417194556,1.2565516104187222,1.1597120738404305,1.1654657462232836,1.3951231512875304,1.3757778164683427,1.4906427341262545,1.520772479514963,1.4435034997506586,1.468608187865005,1.6006006571888378,1.642856981669288,1.680172700671597,1.3629033728997966,1.395658694598586,1.3258026626619477,1.2626916941547275,1.3501720581126326,1.4864947578367662,1.308081674596548,1.3166154111336814,1.5112072989764964,1.5394827780384732,1.3339105095106665,1.4822610317746139,1.7262069185294433,1.4391948888331993,1.538926668105849,1.2503505589797883,1.2466992526076766,1.188823491634041,1.1562919223085006,1.1356499943086342,1.23364688132777,1.0723804018900671,1.0812038667505897,1.120191334591501,1.0453214274019391,1.026676158252719,1.04302025124672,1.0909463237287236,1.0731281762566538,1.0784946819369867,1.1858533533494826,1.2161930759190795,1.284255318848012,1.287462364122084,1.375972869244397,1.316568402649393,1.32022797284882,1.1701631022214753,1.2496181158719488,1.3945760738085224,1.23675962993595,1.2246798157587095,1.3684700639433744,1.3831141709393358,1.22674319562795,1.4194453321523917,1.547227239176578,1.3449934436372215,1.3327607069445684,1.496068598729891,1.5858182000610967,1.4722136907933143,1.3594824457837291,1.7669312622260689,1.6957819616617062,1.6590678399530234,1.406656247033145,1.2468434230048582,1.1906601148844098,1.2049664302490088,1.1341319840968527,1.3359988961287899,1.2085686266027653,1.184276841077903,1.0338700560178726,1.002143567403335,0.8681405038258186,0.9529881217240193,0.8949786843736126,0.9302256143478567,1.094550704503498,0.9263325561804651,0.9278703777408552,0.9047918368763461,0.994113160353285,0.8311520024164272,1.127640841649551,1.5888023795738964,1.5752757233732437,2.619694022965921,4.313071504947753],[0.864386895174649,0.8419666679413241,0.867849156181,0.752375100445101,0.6848934269961997,0.6330946789807199,0.5821768331017004,0.5833600045853331,0.6386610733307267,0.5876542700995296,0.6003821564898303,0.6503311487924484,0.5681787318061375,0.6124790344745557,0.6704872357146778,0.5990540156565378,0.6209403826126034,0.653957210247537,0.7517564750028024,0.7087352642510742,0.8364985713583484,0.9397484534706669,0.9640919607949197,1.047898012175653,1.079702164989261,0.81154425122109,0.681990914416836,0.6695001855089118,0.6623891502696689,0.6068455058079558,0.6800833435756272,0.5871216347558029,0.6364947244848694,0.6485547411643781,0.6257219347083807,0.6442903519436968,0.6499945672308161,0.7191039473389444,0.6583093978271555,0.7693684529259015,0.7664651594205618,0.7733078696228495,0.8100051530210503,1.0479333854056105,1.2915903475749595,1.8138812074955497,2.271163686256418,1.3252315342364287,1.4189149265828265,1.957126703225789,1.5447757657242542,1.7189077038432654,1.3109316514026497,0.999984026741051,1.1822456575775506,1.0573856131859776,1.0853127411877916,0.9104426567010228,0.963035924159507,1.4316642657997816,1.0497408144011882,0.9221516759205023,0.8199775138296366,0.8896604151941736,0.9135481828551515,0.8177523095994566,1.018086129219952,0.7402401153223986,0.8254087363579043,0.846708093343245,0.9372929623290713,1.1810699569746017,0.9037083570680051,0.9902429950626028,0.8083243708762243,1.1091564523712312,0.7205792641537402,0.7051593686445402,0.7331605142660504,0.8689990396808285,0.6634272705700582,0.8522057524747283,0.7856082123584055,0.8629472173548173,0.8437372285958183,0.6272297549152714,0.6591881980438781,0.7146220716730535,0.6670320535467248,0.6520140544801509,0.7193853898155186,1.130089859277762,0.9011188879324438,0.6842266068586031,0.6575031704285206,0.7593314843198478,0.7903902309628248,0.6716254958731407,0.6395649200339786,0.7678305051532524,0.6106926896447136,0.6916877064713213,0.5931262181820816,0.6442273649918007,0.7001995671528372,0.744727928430429,0.832071762895587,0.8448890443191702,0.7942439848613684,0.7986682818399015,0.703997557131361,0.6303076219028673,0.5713220497114881,0.5460595116367709,0.5788689917127575,0.5754016678756954,0.6380532672128703,0.68946315883298,0.8069423895236599,0.707180538986071,0.7121712079732891,0.6917058378167675,0.6559199229258859,0.5898210651649775,0.5624854096271146,0.5350345771496408,0.6816550643076891,0.6248953015037987,0.6990731219316766,0.6710423948485146,0.8099901312322151,0.8632771043811275,0.8198722773425487,0.7223129981911364,0.7221830365770845,0.7020236844402888,0.7540889595946054,0.659015704634414,0.5852912594547572,0.6101525796144791,0.7029695768179698,0.928012261407621,0.7247927627864704,0.634671157898202,0.63789167312307,0.5977823353349199,0.5895151155892175,0.5930050240682401,0.5537452848514982,0.5810635629970806,0.6088886453768351,0.6140328886491264,0.7510575023047038,1.4629846109614957,1.322968063946574,0.642245773504868,0.6066210917156859,0.5839931366299507,0.5719452565118609,0.6087390140788317,0.6099629202428619,0.5975787914073192,0.6207651101027185,0.658842628693824,0.8056061990916691,0.9287974172844327,0.851281792924738,1.0800435815218403,1.010340644757286,0.8685124462572312,0.7618238671887525,0.6743822931707716,0.6737831512413924,0.6451887181152433,0.6240694519251057,0.6125578998562776,0.6154231322674854,0.6736975850214361,0.6357158208261965,0.6436410392576036,0.9354218188998312,0.6504994434852283,0.7433177651387691,0.8495462986432823,0.7823099842088327,0.8380569951318056,0.9303172979199973,1.3690213653957801,1.7485210581352721,1.3828740567901674,1.5658918607117847,1.2614426017318296,1.1212236841415444,1.0645340261146485,1.0584231429876,1.280656317602458,1.0514965080967933,1.061854018538175,0.9804715760015295,0.9443862594278004,0.9176282581355892,0.8125819648678289,0.7861253708374092,0.8765239028301922,0.891277169327801,0.8393026374438034,0.8716172980851365,0.9835746386609099,0.9405762758134777,0.9309027688441401,1.0308248547811618,1.098110991738706,1.0279271156062273,1.0565525747466287,1.286025089933195,1.2556677001502339,1.3584832041469097,1.3465531132648723,1.2419405045381893,1.27181508818553,1.3944921914766724,1.5066222518797527,1.5003685850521722,1.239949439415635,1.173911100888337,1.0959148793895153,1.039448698695248,1.1112296613738264,1.2437987898502356,1.0821550407498908,1.1070597552298533,1.3051216628631586,1.3162101649668343,1.1286816624353206,1.3445157393148686,1.5449192679095012,1.2640008050460054,1.3807119004785082,1.0396725904192583,1.0822503342259722,1.0004925746584985,0.959412058176259,0.9515459064129841,1.028340290626932,0.9277466269376575,0.8961843076017814,0.9276528944118639,0.8587425167728737,0.8708560282964594,0.8514772689907028,0.8968586073663063,0.9065361656812668,0.8965524960084029,0.9791333390894451,1.0307782826497818,1.1428064318659945,1.1123987609578616,1.1796813017871806,1.1178915056589538,1.1033174565225696,0.9508431066661465,1.0250934222310357,1.1718632989724826,1.01843240502716,0.9996741284002261,1.1431749738279577,1.1754659246834176,1.007785677044561,1.2020917357624967,1.3702729102052718,1.1457898278551109,1.1232145720758457,1.3498447121774673,1.4357523882479999,1.3188041841735607,1.1780709797711042,1.6964421763372366,1.6053761804607336,1.5017467648106504,1.264427786147188,1.0658927334348258,1.045588580158035,1.0885313477234255,0.9418646927830248,1.1159102660763482,0.9632991260149762,0.9576770648232199,0.8685729090512667,0.8487227995547035,0.7355550356604041,0.8208707613503607,0.7631584231307975,0.7751787257557119,1.0090289358349052,0.8578994186584661,0.7927771520225981,0.7908644848914357,1.017746350080366,0.7538436489681138,1.0303289331087446,1.3168228385055158,1.441915946591466,2.177239948862508,3.7127217614164456],[0.9815737451743418,0.9398776847401982,0.9040230752456542,0.824836613415894,0.7131866983214822,0.7124249290869352,0.6489167536954649,0.6521257131595508,0.7243116402583452,0.6575414469281571,0.6809632918081181,0.7030549110479037,0.6429917108222549,0.6891171298819724,0.7631855281973222,0.6875661196416983,0.7085962954142803,0.733180931755611,0.8385012976225984,0.7718086519288077,0.9374711089049883,1.0663188417157523,0.9838415732840279,1.1007225613623106,1.0332591116702599,0.8422450115641346,0.7537196008411777,0.7309699359796248,0.7325455688490279,0.6651277289787498,0.7643634621171785,0.656408757237825,0.7129096873756727,0.7122016277847278,0.682466956516712,0.6971968781678342,0.6894884391911054,0.7682110461709172,0.7092916369998574,0.8233977020993962,0.8215685050702566,0.8277533993718976,0.8383273230504507,1.035929067578504,1.2970399660484964,1.7947225313101522,2.2650997349361957,1.331793324494577,1.4351359508924755,1.9600579885724332,1.539515348100553,1.6948900373593516,1.288139420437692,0.977169813556995,1.149594578754401,1.0604372508244744,1.0781915271147424,0.9091712563301138,0.9597222382945042,1.4697767786171159,1.1032485463906865,0.98585648039211,0.9020409763206259,1.0095855639847693,1.0115674986843661,0.9156175387825809,1.1132085583244506,0.8321447921521412,0.9231671395250723,0.9493566822667918,1.0248367460772425,1.2301756975085572,1.0061387766897292,1.0904080725680212,0.8898451983660358,1.189278595735217,0.8025777690318088,0.7922795424472175,0.8036464948163163,0.9087289575423918,0.7194438706617505,0.9213745114423154,0.7989586172830347,0.8424118338329937,0.8570805151171769,0.6670018353157889,0.7280563320264409,0.7432824733315314,0.7197665807996918,0.7282036622430214,0.7972363592637066,1.2186513920201967,0.9897922993254119,0.7889500473255893,0.7443909075254137,0.8755208843806311,0.858610128918672,0.7266098464852204,0.6933701605963937,0.8189428291309286,0.657710379229669,0.7679260262291676,0.6256764422732531,0.6413245034875635,0.6891181904054888,0.7117316256402108,0.8143663044054126,0.8360698328551591,0.7684463020646204,0.8366213909019735,0.7028854460279659,0.6280924923599328,0.6036546888454272,0.5746051533994488,0.6454232772905484,0.6251032168176421,0.6852602799661744,0.7555683244705634,0.8882211719026772,0.771854382573464,0.7862130712404697,0.7460720316434541,0.7137387433199213,0.6534327648226178,0.6372811730408753,0.5762916921147927,0.7413449737167207,0.634510492704523,0.685119178980969,0.6640336164376907,0.7849042124990778,0.8272213367936224,0.8016575125656319,0.712116687407201,0.7271936310793233,0.7460300589679745,0.7650701101512167,0.6993616634278442,0.6364728874464421,0.6699010735482308,0.7715021229803092,0.9680033328015624,0.7949464560034329,0.7000878985848732,0.7017927148667388,0.6681224293592997,0.6424357701302204,0.6470609552656806,0.5878395481651937,0.6225248540161724,0.6557260486080078,0.668791090558727,0.8145871706422995,1.5377091104483134,1.4331920901668844,0.7007669901180692,0.6560742892991329,0.6298641231781329,0.6029733885823114,0.6090169178599303,0.6472064721173234,0.63774161351842,0.6596243518288014,0.693032141813487,0.8421930520936409,0.9443764967070225,0.86681102946372,1.0941284336210864,0.9989250910440157,0.885027090174671,0.7777167694387372,0.7160740939698401,0.7043515114502452,0.6729978644627002,0.6480202050382773,0.6385029446588816,0.6539774669665239,0.693930974121742,0.6633499744513995,0.6415106634100164,0.9719586712280868,0.6642442360519712,0.7666084020498549,0.8447791271141555,0.7908482274544893,0.8710676030742419,1.011443678044611,1.447987614286503,1.8669675694754964,1.4708484604868368,1.6375435692239413,1.3488334519502874,1.1517387617236148,1.0831968699135552,1.0561336149703335,1.2463991175169604,1.031421923258648,1.014714838420327,0.9463137665528469,0.8879339054068262,0.8975855407176424,0.7970795770343144,0.7732643514392411,0.8766779932968648,0.9094977644539185,0.8761118550544388,0.9124486755884835,1.020353008529318,0.9955167895606482,0.998367631413255,1.0907722152356905,1.1639856825832793,1.1148970328251966,1.113756020737461,1.3551906215689564,1.3133851553445848,1.4129103999556052,1.3835358900260801,1.2724055585487237,1.3222881175077557,1.4483730070064431,1.5391472131261348,1.5317280561520754,1.2074844143117922,1.154659063104156,1.0694718121250617,1.0335106195367028,1.0998029247412864,1.2248552424567947,1.0733914047391928,1.0938346388299691,1.267418725393415,1.3045670134033434,1.1025646118360544,1.3013409261923379,1.5245476499844244,1.2481647812723142,1.3902748704606052,1.019896183018456,1.0354397378884626,0.9733525779613763,0.954832509490128,0.9688454338935256,1.031237697073776,0.9346018095609896,0.9147086628848866,0.9311949649572924,0.8889755287214892,0.8856511117184376,0.88458772539786,0.958803341486814,0.9765547857096167,0.9660548152553808,1.0584118483153484,1.1099408939108537,1.2096594535536591,1.196583608413505,1.2639915697322794,1.171313658154773,1.1410913200915798,0.9833382684621498,1.0454471010298876,1.2033623135456095,1.0515057468770515,1.0104954906867991,1.1507389593445998,1.1904135399177713,1.0149362702629763,1.1897854419890381,1.3848855690478776,1.1606401637218828,1.111799144076099,1.3207975322635874,1.444156250950668,1.317908462820224,1.1916891890083536,1.6945179167880036,1.6175031185983053,1.516703107512763,1.3056046252657736,1.1213872178460693,1.0864653723442343,1.1188205795041541,0.9920674758733857,1.1483239392704945,0.9787850721584282,0.9717465453780185,0.8498884460275427,0.8098184355218598,0.7390878474973295,0.8065864345025422,0.7621692494306944,0.8105563188945842,1.1335247804484296,0.8792944049303199,0.8661471534527865,0.8893681729587276,1.0508750538199185,0.8332531000166727,1.1026956364373777,1.3875691978000921,1.4765401946690098,1.8510601543932566,3.37057942531956],[0.8964118212405066,0.8389912763831836,0.8042369017379453,0.7260018192229745,0.66195453607883,0.6182896656421735,0.5604539448691117,0.5869112575876034,0.7035936012017168,0.7194868418704718,0.7700650776101545,0.750511871654276,0.7652499497886928,0.8156072322327022,0.8975469472386972,0.8441631821716867,0.8421008158817909,0.9669584867583609,1.0951994008098322,1.0517930905194133,1.2959624021890885,1.440215580378103,1.356361693224347,1.4727464333716964,1.3045012321648777,1.1652237478498737,1.013838408450482,0.9631072727472199,0.9205487947989909,0.8159874283827634,0.9587947941862499,0.8008275692525268,0.8668318733794445,0.9386343836532457,0.8931912909580749,0.9461850924570708,0.860321045419819,1.0134765355465354,0.9448524554304704,1.100809361930057,1.0914665742590368,1.0876399104087004,1.0979191992970545,1.2441924556178021,1.6089368548060263,2.006514613128687,2.521650675207468,1.6302487843450555,1.6923222725478806,2.139802230563708,1.7813844580219542,1.8672567601067909,1.5286690420671765,1.1921188094415354,1.252722907110588,1.374774228866765,1.3485757574600308,1.0748500152328482,1.1861657189670218,1.8145891800214762,1.4472366566385815,1.3345493086656866,1.2576589656988248,1.363129858445232,1.3873303931394234,1.2801253676704638,1.4859979168990731,1.1178423425273827,1.2090140926009698,1.1596819431525827,1.2358065522081403,1.491530962874793,1.2347992277622726,1.3424141691585763,1.140301524238976,1.4006369572980264,1.1100335096875795,1.094283576018108,1.1302482388211912,1.2679523709199494,0.9612896015988532,1.1421620482231427,0.9192922821932655,0.9450084800095467,0.9791046892403487,0.841432448774514,0.9763059824152616,0.9296724826784828,1.0132264444736276,1.006812659013663,1.0548701177268185,1.4175892158471854,1.203271524469629,0.9831014897054923,0.9293968694679874,1.0397638831609601,1.0228714788081998,0.8586096235033532,0.7694778156816362,0.7924210461055876,0.723946248244823,0.7220565773629477,0.6787639307718455,0.6507468353525795,0.730024674204663,0.7467089298509852,0.7543996659670537,0.7570295200520577,0.660852682655638,0.741541949365381,0.6242494485076964,0.6122573677149318,0.575825672151694,0.6139296349816218,0.7435031179641138,0.7879567897374689,0.8876593147580645,0.9758809139699348,1.13165810028098,1.0022554442426932,0.9871300553144324,0.9087287930371776,0.8485643286981852,0.7380756905791268,0.6601376333673353,0.5948273311670079,0.6116753351441098,0.610443923958017,0.6578308511758137,0.644610408487797,0.7821521348671693,0.8228711478337308,0.8232439669944642,0.7007051948712847,0.738157928598429,0.7306446217632077,0.7103481896817727,0.720846166827514,0.7098645372527695,0.8100574224980838,0.9597633734033029,1.1611846698251413,1.0530985532755253,0.9238381008992631,0.9485916485130068,0.8723193263300859,0.8135941186615896,0.7367084907783127,0.6443314983985418,0.6307988004295827,0.5927833843604449,0.6991029444907813,0.8101153996800461,1.5376943927334403,1.4217371696103502,0.705626376183668,0.6914076705152475,0.6236343967963643,0.6634267160965542,0.6223087188917561,0.6984815819700786,0.788686161864977,0.844507996221204,0.8941725360037475,1.0456158414572825,1.132411300845353,1.0185097729411723,1.2838588875814976,1.120353401948783,0.9550802108090245,0.8344490014266661,0.7938207279304103,0.7987522230752918,0.7750541321433179,0.7378429947771133,0.6990114928766433,0.7320633612527487,0.760026637559291,0.7804223775801801,0.7589902772013915,1.1479644258218602,0.7283826145616951,0.8529750610067528,0.9536488658373861,0.9265087308111328,1.0937220742277185,1.2761772829401874,1.7386432559124472,2.1320243193194677,1.730393460452176,1.8866766913926711,1.5924982777283125,1.308729991127454,1.2146830146772212,1.2249796771356232,1.304118242148747,1.061458750217049,1.0334728243724334,0.9064529026492799,0.8966024143295259,0.8077990551872375,0.6918004357960535,0.6856807413610642,0.7582457882022285,0.777929584724687,0.7495234416499249,0.7807529070207385,0.898612132090098,0.8722573887428,0.8917733790354709,1.0007084196075713,1.0880907194761753,1.0513534670677556,1.0735961818137176,1.3267275051108793,1.276317965364203,1.3911723615792149,1.3383134296928205,1.1835063370493768,1.239673033670574,1.3888072720772657,1.524358312701833,1.4930482462598504,1.2134855027006006,1.0711215942233057,0.9735262149342864,0.9097911716821735,0.9835903886196775,1.1256938278366573,0.9622790850686876,1.0009418571987059,1.2129201360719877,1.2084641756641312,1.039065669379774,1.3419810999252666,1.5190887075575505,1.222765105800249,1.3490733191056097,0.9440234837885766,1.0141001113570167,0.9152528834622602,0.8379292167270778,0.8723336672847594,0.8892569185808973,0.8214007842807528,0.7748017007065763,0.8247672910285283,0.7860028520693481,0.7956897256912564,0.7719582605776352,0.8627951927624284,0.9194046895022074,0.8739486886213113,0.9428809515932549,1.0317614136480953,1.1544461514048638,1.1094278364348156,1.1683603687762492,1.0692554447569946,1.0171503142583744,0.8486763748327729,0.9108820135198415,1.0827990341419713,0.9237454533505758,0.88400670451427,1.0462128155417898,1.0885964587103578,0.9062229194655688,1.109824752801141,1.3139539465126489,1.078664230095082,1.0516721075757607,1.290900312504695,1.4000973599844324,1.2748438190711489,1.1204624910042986,1.6947951898135798,1.5944914928831047,1.50703274944049,1.2586472439978655,1.02715732251681,1.0023806611191857,1.0592740237335219,0.8649877821129462,1.0204888854744825,0.8436356828436823,0.8258445874756635,0.7545302636570784,0.7513301239173299,0.6677232837783744,0.7286887694583286,0.6740177417564921,0.6944264971034231,1.0532372802090235,0.8349884746787956,0.7749264802406587,0.7945088838505453,1.0595506030033723,0.7271327228009401,0.9776424303172977,1.1891159082008589,1.42864746127613,1.6837831471742035,3.052209795940327],[1.0088594929318095,0.9664824228167369,0.8972573744028077,0.8486421543556444,0.740076575014913,0.7100496088203883,0.637519691042046,0.6610327074633872,0.7387746024699133,0.7013786636435534,0.7522017662619287,0.7562286306755491,0.7225889559660286,0.7702605506712209,0.8516324459358213,0.7903530918533564,0.8032937309480569,0.8685216772133673,0.9654291441410897,0.9051653599492276,1.097375505329677,1.2314198201397475,1.113844106453779,1.222793913924666,1.0788650745129358,0.947615551483597,0.8820073152077696,0.8357434255488826,0.8306532856574911,0.760608441269463,0.88225571775204,0.7496581382668202,0.822239094583437,0.8540259675498257,0.8051941055904221,0.8335141803119657,0.7798597830257749,0.8988622498654327,0.8031317707943754,0.9063346395008256,0.9306646582397005,0.9324551669958598,0.9318308282512029,1.0729219481912247,1.3511892796238214,1.8056021975845358,2.2614459527902904,1.3855559633562557,1.5023022681659999,1.9695788501511144,1.557524164169202,1.649701154884405,1.2935057024832366,1.019486687207476,1.1811490844090258,1.128861417976196,1.1296625417383321,0.9786697903025645,1.0254913334653637,1.6021764407488919,1.2381383979973428,1.1149921297459198,1.0666327393918118,1.1735276616387122,1.1776685069167567,1.0917548768840888,1.3033778749141516,0.9854531051928982,1.0668669112072566,1.0580009661072018,1.1329476240803245,1.3558923393152107,1.1301154438932774,1.2368885826704543,1.0295152323291654,1.292166044637425,0.9600511562590273,0.9598620598596492,0.960394168993481,1.0652957816615682,0.8574452709641439,1.0134866871401542,0.8834292132475454,0.8416119034942743,0.8987139525200085,0.7559938703477539,0.8583961814298479,0.8510148952141394,0.8761190053078237,0.9011191741723873,0.9449482988492619,1.3303694967142918,1.1282215614929052,0.9223429707870486,0.8690153873415674,1.00256041656871,0.9545917145096807,0.8139963863145898,0.7677151695227745,0.8747709942440833,0.7157983388421737,0.7718396405992484,0.6796186254104629,0.6419579143712142,0.6649460930972458,0.6724409094000612,0.7317588481059066,0.7021873896377524,0.6641661378679521,0.7985141760726131,0.6535356249207944,0.594138703290037,0.6012126198656242,0.5884067194208042,0.6956917364232764,0.6816510743457204,0.7747045236423293,0.8452163000048918,1.011679239203038,0.8843594386597963,0.8881523725379578,0.8184948696336108,0.7615038786218129,0.693549999608965,0.6658226383893167,0.5857887132887856,0.7218478012956105,0.5933183110077446,0.615248534960816,0.6037323991465009,0.6942220108928593,0.71641301679193,0.7043071785007956,0.6176311786010608,0.6431918331693437,0.7099968749118852,0.6502129881319475,0.6544687558822995,0.6323505175232224,0.6928271094471452,0.8226753330254255,1.0255168223323186,0.8819141264866396,0.7811475545005941,0.7922357621252043,0.7649434019633419,0.7062965105757516,0.7004154914595827,0.6126739647579048,0.6244495381972791,0.6624780598707004,0.7338962776886233,0.8718427657236159,1.6066641220242834,1.5211718674996468,0.76068333757077,0.7172920195967963,0.6614278335429262,0.6513191963952282,0.5929237961707662,0.6674419632579937,0.7009590270621934,0.701356199745746,0.7378974367890327,0.825103813742075,0.9306622730139966,0.8198114761613138,1.0683247539644494,0.9336893471882443,0.8139197629508808,0.6995721473764278,0.6736502752242447,0.6676769434551842,0.6634531591498676,0.6503168405000707,0.6371375196187984,0.6960492322664985,0.7095118706215389,0.686418652709674,0.6556472852073414,0.9846967940027651,0.6438938346569271,0.7196064225226934,0.7615139852412821,0.7319010558195619,0.8610625820343644,1.0702551764125214,1.4756323715938036,1.9537204100311707,1.494762462709452,1.6605349861685788,1.3834685600615453,1.1174505982391822,1.0389290619855782,0.9889483355132201,1.1293765418489303,0.9305771514295678,0.8954405252323673,0.8316038162420127,0.8397893150591426,0.7852933536314234,0.7185200716068005,0.7127337530684271,0.7888940122987472,0.830954903128367,0.8267057615248538,0.8713975192203639,0.9728939386939625,0.9567695420785246,0.9828382397740753,1.0688419679162684,1.1361511478399404,1.1186931346266433,1.1281887525263625,1.3247709097949205,1.2800332439204618,1.3620888399237954,1.3196256559142645,1.200515969759706,1.252340768695014,1.357508568705859,1.5645655112081946,1.437227202777302,1.1954802130890947,1.019236994862626,0.9462038444890316,0.9099515032004637,0.9555558460126946,1.0897242915118668,0.9530272432339957,0.9451645805173648,1.1173227973309983,1.1548505420316602,0.95580138165768,1.2275629617207675,1.3846200629609193,1.1362134097067669,1.338786791204723,0.8754755543790486,0.93508342715928,0.8396845456321781,0.8313679457481757,0.8715566703256895,0.9224727490425493,0.8648210944892413,0.8208609336542598,0.8830423567586146,0.8745022166596577,0.8633370953191515,0.8646282763058973,0.9674807274380797,1.0254264008981004,0.9820512252774143,1.0214666996117046,1.1107314772586816,1.2056222414702862,1.1619620518629674,1.2022751507345792,1.1061152097111782,1.0587559129408135,0.9277198838516283,0.9561478011371632,1.1175920093301146,0.9844945091638156,0.9065501092087396,1.0441424229402756,1.0990216189086106,0.9232627278424538,1.0766487475974422,1.2858892541465545,1.084438290062128,1.0371210672372297,1.2074766528970082,1.3739762129163031,1.2615016829281618,1.1367055746020949,1.6474462715437375,1.5937505411525197,1.4633455653456846,1.2712929541787583,1.0779645924001013,1.064582323586063,1.1101085576929748,0.9585866747848291,1.0818129083843437,0.8795505080633581,0.8789581175332861,0.7611499118335734,0.7317509998356888,0.6829122653032934,0.7788083436681043,0.731895816779293,0.8006657102673105,1.198513436469081,0.8701372685046698,0.8815270112374102,0.8965625948668721,1.0754046056013098,0.8500266538395036,1.1028722285474328,1.2617230719609078,1.5022774859926693,1.5406645295763786,2.745560096204923],[0.8212423931012984,0.8003685772156677,0.7830164936408613,0.7083548157088045,0.6311052204083576,0.5727145405069791,0.4899512587509146,0.5010854731071087,0.5841396424239057,0.5294485245057514,0.5552301721810168,0.5852631795370099,0.5275971018910968,0.5750784410013423,0.6643184615445281,0.5837652411358176,0.5952521930815087,0.6502664789362379,0.7690117152842991,0.7166219640084465,0.8743983319956546,0.9938554078551183,0.9614890999094606,1.0727922668149046,1.0661884548951894,0.8277978371383357,0.7257632552540713,0.6702680394181474,0.6514315599000168,0.5673177354189093,0.6687961151854952,0.5499455331213703,0.6093728062877659,0.6260212802266991,0.5948855167161141,0.6220912081422125,0.609435652106379,0.7274833523731788,0.6525101994738564,0.7742472913890472,0.8169543949212142,0.7901654002603539,0.8169749836888518,1.0390836154933494,1.267543919198208,1.7869214650218173,2.2344445414273397,1.342522093906176,1.476573867644917,2.0055919115711367,1.57620644490267,1.6990234019300585,1.289236063169889,0.9831231120547307,1.1624913630425948,1.051722629273727,1.0720120036101912,0.8839537321292809,0.9314387656343371,1.465974181830202,1.0735001069670613,0.9403270233532457,0.8488825869280461,0.9237403166340281,0.9503478260723339,0.8576485731443575,1.0657067895040508,0.7463332085992189,0.8387933685823447,0.863543334125261,0.9363692287118988,1.1749104349883737,0.9141481409321867,1.0046462290622986,0.8021033716729545,1.10837085067068,0.7390146859815692,0.7168751629502115,0.744046811184317,0.8727844926555013,0.6592597418183727,0.8656799166326541,0.7566118843870291,0.8231597141773558,0.8563531641971752,0.6107403614781622,0.6730423361602103,0.6789094497920384,0.6667291707351494,0.6652796063873129,0.7154440639873014,1.1404322115837835,0.9142932386656418,0.6948074756093477,0.6525210110818404,0.7866950225676722,0.7885750212960599,0.6306214137249762,0.5846162203020603,0.7121060747268386,0.5436206530265655,0.6321023121568929,0.5267691938587998,0.5335697541190237,0.5992439254351212,0.620301404152802,0.706185890661204,0.7095424282449503,0.6361818122287698,0.7108253318924206,0.5733323844748085,0.5055183643082011,0.4715308376600347,0.4630999382409476,0.5400585829093153,0.5427435721576502,0.6206216537602292,0.6888209076199971,0.8284182821648939,0.6964173430178939,0.705673919313963,0.653712061660937,0.6178883239418838,0.5444206619526522,0.5100637792761838,0.4645941945953083,0.6164934164722284,0.5254085827987262,0.581537177706805,0.559980157845523,0.700615660326006,0.7373255479200519,0.730324095781528,0.6223713420097563,0.6524712172238926,0.6738945781344656,0.6769731251673435,0.6314800942176443,0.5677087228590693,0.6030427237289819,0.7259237259328042,0.9432197359395356,0.7336849515482978,0.6424310726986364,0.64710659148214,0.5932185637591936,0.5570706317208285,0.5455077263870609,0.4818491795153899,0.5001797917766867,0.5121764144410603,0.5546119223282081,0.7080803910203538,1.4614594427826542,1.3715230182908111,0.5809560166561399,0.5388993911578336,0.5000511820928433,0.4966305784590429,0.49752423741007656,0.5587564478469896,0.5593015205449,0.5928515911971369,0.6373620871073562,0.7585408588849281,0.887812501375455,0.8087942936732471,1.0392353782780448,0.9393005310212647,0.8235972998661215,0.7151672700870028,0.652964200302083,0.6398566805595208,0.6039083978274664,0.5674848104380179,0.5433757922976704,0.5628993248594639,0.5973941853681379,0.5900667627671068,0.5723187243698762,0.9030824893690348,0.5768660639565657,0.695650061242322,0.7733716847563571,0.7255545726225108,0.7996624473524997,0.9519175369510068,1.3693596521489104,1.811717173748213,1.4101378106001865,1.6010425853034236,1.3034690669918023,1.0915378748332167,1.0217244402607168,0.9818781053924494,1.1622264386221781,0.9606582590274716,0.9161331797095984,0.8390698845174787,0.8209206860647594,0.769188792748484,0.6728671443596508,0.6606125764871064,0.7454777149656447,0.7664336133612937,0.7467387135599783,0.7898932730578768,0.8858271098377053,0.8467808572398854,0.865949381263206,0.9579024903444194,1.0167117666717935,0.9753573565965972,0.9961434286844445,1.2165298431458418,1.1997085913278616,1.2776386363240693,1.241507781847917,1.1151344650443222,1.152145084197061,1.279412088970067,1.4671429571447923,1.3987051662723924,1.155302243443937,0.9803623136918899,0.9059074366638419,0.8860985861699853,0.940823128850211,1.0642451461691493,0.925219770336657,0.9481171604804871,1.1328028336838025,1.1603431453529942,0.9614112083621867,1.2256030401278888,1.3820026994666224,1.1230135302062167,1.323221392857733,0.8819305904144019,0.9442110923303241,0.8525382132738435,0.8250739874391272,0.8528469204573815,0.8858962623791704,0.8252108583653486,0.7845011483450944,0.8037866865959602,0.7795334562260446,0.7870715861549733,0.7620606803111586,0.8386974047144983,0.8856223508613279,0.8483755377921063,0.9004135472993295,0.9687624280735495,1.0811872899536585,1.0261167186208602,1.0675533885479316,0.9965277574652499,0.9617170152625153,0.8289542525104038,0.8804440304820933,1.0256802121590956,0.8957013503199112,0.8508671360381193,0.9824777550023152,1.0354718291663456,0.8775804279445172,1.0430693888128773,1.239475354295818,1.0380532166405096,1.0019293635310846,1.1852069718339908,1.3285104453643366,1.2152673502616484,1.0820119023685326,1.6177877173152198,1.5699898477370355,1.39301843348065,1.2100427134353477,1.001923524219832,0.9762333145026632,1.0470004190671567,0.8907441172618653,1.0318206841004065,0.8506448432257288,0.8353021694703081,0.7317003528592574,0.7076360000333968,0.631934956684767,0.7122654119547791,0.6495895356886772,0.6893179005651897,1.05929869705203,0.7956097849567032,0.7562792859453498,0.7654472886718486,1.005793899597198,0.6982608149812252,0.9647019445989861,1.1345778353928915,1.4206949185412376,1.5789215089022814,2.891161157459965],[0.7637913585956823,0.7451338639225393,0.7508083831939304,0.6873093060356296,0.6335641273631911,0.550636404814951,0.49072918641411817,0.5209540119727734,0.592885117010072,0.5762040853827192,0.601609879897219,0.6257591640568367,0.6013306268419398,0.6311721788676639,0.7202711895371042,0.6552960569005389,0.64105560213931,0.7372321382361948,0.8471948698653002,0.8080454414427573,0.9887661027208273,1.1601890445244514,1.0506945349652927,1.177273541380152,1.083428304224508,0.8968459396643114,0.7878095415315229,0.7451250248126767,0.715310935015713,0.6389924270720578,0.7479684926435368,0.6250026833562474,0.668051477055748,0.7161561001998485,0.6827658627418729,0.7209386855507348,0.6908610090360222,0.8555973789792891,0.7274717390735457,0.8985778512872465,0.8853957239231001,0.8694736391539212,0.8909936110125777,1.0893027126784658,1.3898544837693902,1.8246621997211268,2.3547473814484086,1.4493686046998306,1.565657784573474,2.017655670485556,1.666226205798965,1.739189873191389,1.3765386999129223,0.9898894609538457,1.133489942786418,1.1660563139923692,1.1393980433730013,0.9156410232367452,0.9917013802776723,1.6042735700124602,1.2077238703288788,1.0822860620644883,1.000084601123421,1.088094723031705,1.116806436445216,1.001702955794421,1.1959282858868816,0.8470139452208364,0.9196203140742006,0.9464498933705509,1.0131720653198528,1.2915296443088884,0.9750055649826465,1.081419507687061,0.8949817765503072,1.1378945894221277,0.8495932060836879,0.8266505738290111,0.8861165283716149,1.0481466316058734,0.7716059616750186,0.9718457654160866,0.7917211909209282,0.8470409907314516,0.8257235860897708,0.6623217899890718,0.768958128120458,0.765226789445117,0.790552240421394,0.783098771270358,0.8142699763403977,1.2098631881145017,1.0025143168366386,0.7781324501167113,0.7324680470772892,0.8490919766573228,0.8567843096665865,0.6834470486720514,0.6190226462994551,0.6832895723459662,0.581094839803026,0.6116707150124019,0.5900369734997956,0.5593286837279279,0.6393512983912757,0.6798810132773885,0.7264280655898168,0.7172303026457413,0.6459565509169607,0.7152827460214097,0.5901704856759276,0.5294952598381211,0.4975655416047395,0.48663489777567315,0.609086604701848,0.6020218309299081,0.674967177635852,0.7333828274505695,0.8743081642179377,0.7690826214807673,0.7702655301867206,0.7117046556944299,0.6513302180412252,0.6001605561311163,0.5495885472938711,0.4861690516692827,0.6300937744343263,0.5462700035115048,0.617250390065473,0.5775599229675201,0.7072614965226799,0.7400198842911302,0.7182673880770193,0.6038925060036763,0.6234418929843009,0.6114793317572705,0.6468738518487382,0.5902423790559254,0.5460110286565748,0.6155745056695068,0.7368951901098346,0.9661745664834102,0.8169672814713366,0.7139753128049283,0.7393383763799812,0.6745250572950203,0.6308344027750636,0.6011269045762364,0.5397546096217155,0.5533089294595301,0.5194746688370611,0.6186574962473825,0.7283628550194641,1.4346333889178033,1.3236618668934155,0.5914853152028635,0.5582320222521194,0.536874463170121,0.5601880059776891,0.5322165595802641,0.5982924846212133,0.6280100555856472,0.6579437958339425,0.7123866210105075,0.8979455638326292,0.9778243916790459,0.874974987757847,1.1403621620162996,0.9973120964820485,0.8123147217192757,0.7069543518649966,0.6326563914386215,0.6406026873338395,0.619259529913214,0.5989837390335844,0.5723458535402636,0.5929817287194327,0.6174833759504573,0.6246289446320932,0.6223678148613854,1.0507965469364304,0.633109759066799,0.7455207393495414,0.8004200480693212,0.7802114121764077,0.9156404201859603,1.1015455671536165,1.6330877608457266,2.003428410555404,1.5876090808245125,1.759294324125201,1.4562544416607481,1.2066814094498635,1.1295058829520823,1.164342555750072,1.2485164704382627,0.9861587307014845,0.9563087616151068,0.8185057876274734,0.8767357204813053,0.7583966495229152,0.6846489174654303,0.6863757708018134,0.7019313097800138,0.7064252810432872,0.7108195463909623,0.7206489592141927,0.7974636285112467,0.7678712603032412,0.8007955506255153,0.8922619377698604,0.9491167236132723,0.9170386411581244,0.9528515992049569,1.1759925464297352,1.1621931851736933,1.2461241779381391,1.183468069427845,1.02479903153753,1.0573469902258767,1.160744709972412,1.356554873927911,1.3794047857856602,1.2090948789565572,0.9570232742408313,0.8455373963511469,0.8152390206729386,0.8602729912928485,0.9930150006995292,0.8521138115911694,0.9083808026250475,1.09408966999478,1.0617657890987575,0.9035895783953913,1.2509223949778068,1.3695352006962063,1.0785559800416114,1.2653617310032719,0.8177443107029188,0.9361277622796443,0.8524492467269716,0.7939231951263045,0.8837286497419373,0.8457785911079352,0.8447100989691556,0.7623232384534158,0.7671436350242128,0.7560154869269384,0.7982549934714631,0.7135101709366696,0.7827856866455634,0.8561666665262064,0.7931859012196362,0.8099619023601505,0.8954046940443062,1.0133435971412097,0.9375803744283862,0.9650178347441734,0.9031034584920403,0.8510397537824862,0.7279974237821509,0.7924236830907058,0.8995823287122621,0.791559981794421,0.7651012006585394,0.878437571511268,0.9371009372966081,0.8009460146244916,0.9536769443448383,1.1274629454864078,0.936819965509657,0.9220871781392872,1.156551661627012,1.2865824239311745,1.1717484897085977,1.0104947398773396,1.628978483112795,1.5322976826024592,1.327475653998986,1.162855180157656,0.9269294489577423,0.9229507592015317,1.028832191825682,0.8150256594927566,0.919910300009925,0.7409021371282248,0.7197849080423874,0.7029265510718465,0.7248005645789359,0.6231978523239124,0.7459770826726883,0.6798021589701376,0.6697830345581502,1.0298443450356958,0.8440805087187656,0.756809307809412,0.762421410044809,1.073025369354849,0.6739604869668608,0.903973746572408,0.9859451219188005,1.4959329805439845,1.4913421020891953,2.755401140623915],[0.8449698637375136,0.8075543849412533,0.7952812849422317,0.7738877551764686,0.728672819437945,0.704729949532812,0.6462312241789222,0.6798102090674745,0.7721967333060502,0.7632336165779687,0.8161831738745966,0.8208305778924455,0.7900191628977473,0.835626636145756,0.9189682883729847,0.8711117496263308,0.869234638013866,0.9499142472007891,1.0540986032429762,1.0283466798569236,1.2098338566798352,1.3551618988022407,1.2475758510922925,1.358358105723616,1.2079381678035817,1.0916808580022592,1.0160009765513738,0.9441114710369117,0.924105754314407,0.858167619796645,0.9515945620758918,0.8516933598101754,0.9024165528284718,0.9455681383024855,0.9165223905907943,0.9525125828564239,0.8888882192402245,1.0235481946775395,0.9220043923084721,1.0603673084762282,1.0434901520329154,1.0745083486447342,1.0876952738728132,1.2203371212066192,1.4750074568876128,1.853421198246182,2.3458513509967376,1.507995965755446,1.626819726527461,2.046807643098167,1.6923342934043892,1.7174249934381685,1.4341544553089143,1.0838700815333218,1.2223530095077049,1.2803962615697309,1.2605900546317999,1.0959229052300357,1.1624120297715301,1.742761685418414,1.3774822267091607,1.2766055430100083,1.213660402942208,1.296807925669048,1.3127225149132216,1.2279086306943359,1.407882075460583,1.0706963924630521,1.107569155168505,1.1330995920282356,1.1878531555256364,1.4250890649826922,1.165910331336626,1.2488281254560967,1.1049772069960984,1.3193073819133405,1.0664567337999273,1.048111900692976,1.0870148004280922,1.229269215225337,0.9857072838570008,1.1273587469065856,0.9831335724141004,0.9198635949879016,0.9317282078320837,0.8561630654382325,0.9875114853280742,0.9633089904694225,1.0089360084752301,1.0090172203379302,1.0329035637722161,1.3906586031204544,1.1914882677939016,0.9907649156405235,0.951171721358375,1.0553388605934497,1.0498907212021564,0.9117681828173054,0.8442265097093561,0.8805673673865674,0.7861188782286826,0.7740929233375585,0.7667572457578515,0.7228716245718539,0.7446941848232621,0.749008005385481,0.7505794102461147,0.7138665821525485,0.6480346764654753,0.7763932666376979,0.621764167298734,0.6378589487680105,0.6390715317324355,0.6434276378880318,0.7813408180969714,0.7858371658841634,0.8678470710866442,0.9298460893402984,1.0744740580459327,0.9746526734816033,0.9733564703745924,0.906048650008122,0.8461490533455697,0.7713225252696202,0.7083174149111153,0.6287139023850915,0.7145223026274413,0.6104719444234328,0.6218598678019558,0.6364722159222582,0.6826262611083139,0.7058993748272672,0.734038590591543,0.6670783297239692,0.6796610910756811,0.7047589558161086,0.6574145157188697,0.702554463331004,0.6937859998504317,0.7880525989864994,0.9300737205310297,1.1548258912956801,1.0252137357016047,0.9083962815360359,0.9389810744558114,0.878508795318964,0.8183286568763702,0.7878289130683448,0.7020312869932096,0.7100180546740712,0.6810228570087917,0.7890091667288326,0.9087592253071339,1.5804902859500658,1.4996317322856736,0.786541834614465,0.7560158915097459,0.7065042944032154,0.7443385875036304,0.6852148056164072,0.7433890940522205,0.815944643221738,0.8304209179986383,0.8757605392010549,1.0123810700525178,1.0943291381129205,0.9304795694962315,1.1797498833831792,1.0197347233709313,0.8602496845885241,0.7631479373653751,0.7573403682137062,0.7767448858806576,0.7736760836676508,0.7691864363375682,0.7483784988136933,0.7831835721216619,0.7992179073535545,0.794235519993602,0.7819731025528693,1.1587418314703513,0.7524534556553557,0.8353238418819808,0.8387681152574233,0.8310808667710109,1.006795818155375,1.239710272687483,1.6918704880867281,2.1343663571858045,1.6606329700225884,1.7904172662841438,1.5295950175457238,1.245102539527603,1.1669255901932873,1.1528292267051052,1.1684226453797695,0.9261846024404341,0.8705928366449649,0.7415077111621897,0.8181124370781878,0.6897191677028395,0.6335752612765129,0.6345804371483901,0.652534865047909,0.670184835428737,0.697725664289892,0.7229993147001876,0.7974365288654777,0.7800032600912289,0.8309355562546294,0.9080084855189561,0.9590419303020397,0.9524532444893156,0.9903699227955032,1.185276370769804,1.1728667859436919,1.226527041518132,1.151830233935858,1.0043438915251883,1.0420636528083458,1.1443279155848038,1.4151234158291062,1.319111879575942,1.1669628665918321,0.8555342346269224,0.7695496332800086,0.7862157071104788,0.7999780785541558,0.9022106650406393,0.7879203161291092,0.8370366135534044,0.9973431706002821,0.9837874812284986,0.8318864309548765,1.2060658467099687,1.2895586736918077,1.0304483520465042,1.2552684892318344,0.7456084735414097,0.8562844931789311,0.7782034564235105,0.7531567633343995,0.8290373621376712,0.803753161239191,0.8358944397514642,0.744383291704691,0.7544932793662986,0.7758339556550745,0.8119119125392894,0.7251266208529539,0.8230068451192455,0.909544207035523,0.8299263919283699,0.8248627967830867,0.93140436684516,1.04467248457496,0.9505331436930488,0.9597789932986284,0.9030557660214801,0.8546167800895165,0.7399195849807293,0.7608889150932938,0.8920300088752824,0.7873959250483967,0.720685480512602,0.8368051750720683,0.9066599754202809,0.7576505732385675,0.9102828532938909,1.109794633838619,0.9269420403801472,0.8957368887145132,1.1143687529875839,1.2602906168565013,1.1462685493150244,0.9944944925872544,1.5777441469144131,1.5133983498913028,1.3120619666240623,1.1548636611403496,0.9347010846249129,0.943255054684861,1.0518387216361476,0.8216461527725716,0.8966427765674118,0.6965144045924667,0.6839270029862164,0.6424058532347791,0.6576420327647622,0.6025788154022441,0.7132693058494853,0.6702123757310164,0.6996274019070946,1.161048877648689,0.8406937340342491,0.7853954020722069,0.8134045036561244,1.095567491150225,0.7575982511784005,0.9590530258302212,0.9976589856406337,1.6013469183346525,1.4788066844896826,2.411746619535615],[0.7494026462258636,0.7631198974465868,0.7871674256997762,0.7413802052941911,0.7335515235072364,0.6353942116562592,0.5510388270767302,0.582039334453151,0.6307873244583939,0.6021420951412376,0.6228709477440294,0.6561842501184362,0.6250368504958845,0.6494458911945726,0.7411781073438798,0.6838970520700485,0.6704948134573874,0.7423738799238461,0.8307998510277983,0.7868202764451945,0.9510841174207824,1.0880245813975258,0.9872781727185527,1.0963442913984185,1.0361464835223206,0.8545761384664807,0.7756100307178343,0.7448240698845051,0.726787228799994,0.6602506510160427,0.7625243834665374,0.6643160713461822,0.7116516016927632,0.7337793113168413,0.7061483951545494,0.7332460754653815,0.7099942094061003,0.8412429739583892,0.71741912056412,0.8391241273478933,0.8548554412150934,0.8249805793380705,0.8298821531640407,1.0190076917926585,1.3034659938071005,1.7923869926161378,2.252068621799007,1.356412258668385,1.4592417766315378,1.9416547964128479,1.5221594225468187,1.6163318738240495,1.268737825448002,0.9694698963267331,1.1474471839176998,1.050372378501216,1.0510466435798347,0.881166859506174,0.9346503249711441,1.5199906712221447,1.1437263960525805,1.0154610644787374,0.9453927631296589,1.0148251768274774,1.0436794182885483,0.9664061075247369,1.16366731429802,0.8301081734560399,0.913118364146976,0.9260343619911622,0.9832101937835961,1.2231007867532253,0.9565042218050624,1.066171938814842,0.8700011607921295,1.1573228968344245,0.8208595646236787,0.8078887819354721,0.8558585334707794,0.9951863388727378,0.756892137964788,0.9440420505046828,0.8380537566181346,0.791978137557009,0.8382200324546353,0.6725964626668083,0.7671237866206093,0.7723071007423715,0.7804501790837813,0.7783114798564331,0.8182546869223131,1.2078391904687136,1.0036884935228676,0.7938660602346828,0.7464845872453053,0.8611028121913421,0.8596538091732101,0.720102918232453,0.6645318082790911,0.7435506708332439,0.6360860765550925,0.6749784881970039,0.6209152504859351,0.6074906916988555,0.6632369345294216,0.6956170553768928,0.7092482984337515,0.6761718376419155,0.6233984883627677,0.7339548109179543,0.5886553089006771,0.5625829214880432,0.5413115450878389,0.5359295257314439,0.6376184498604994,0.6262741578316442,0.6883692236953292,0.7527629960205624,0.8724929176639918,0.7642423941005323,0.7683332183376659,0.7207368716634913,0.675890130064869,0.6278924260052389,0.5946395814408767,0.5476345457957579,0.6717300708254093,0.5662135855332587,0.6020521876928662,0.5962167712390828,0.6689588064671997,0.6843032776279883,0.686184198627351,0.6065686266544044,0.6264524444914877,0.657444632726916,0.6408293783158876,0.6382784691690387,0.5940577404771971,0.6523764202738579,0.7601902705846094,0.9560516668519013,0.804008160914062,0.7150756895019476,0.7299191866084873,0.6921162778834073,0.6496348193026202,0.6311268999400108,0.5767438827489818,0.579673765076255,0.5781019454389987,0.6819354410273532,0.8217269663597598,1.5075640152828633,1.3995483652964076,0.6636671671095656,0.6251488505455708,0.5944790675997849,0.5959483515742439,0.5699324457302346,0.6409197656899026,0.6491029275066307,0.6703910914634968,0.6991952337091737,0.8253960024270088,0.9292146853514625,0.8068585696812398,1.0572706258307183,0.9308458030022714,0.8014114042797698,0.6873858633898677,0.6529860944558551,0.6520138572053213,0.6372484013148723,0.6106948087275638,0.606260362268262,0.6213427453652629,0.6544758240491502,0.6467377733368168,0.6391934028236599,1.012654532007205,0.6425117570803058,0.7280776576980961,0.7447078261159091,0.7155674830657854,0.8276541369743003,1.0240056386498926,1.4084147307040837,1.8790696625368204,1.4400567838818525,1.6086645392917813,1.3920099820816547,1.1174244508388032,1.0784013321188282,1.0271490281317268,1.0959265735281676,0.9048307079670699,0.8592059327352931,0.7694337050830733,0.8474679698738579,0.7194101509208833,0.6681721471469494,0.6686020998480829,0.6952401159477022,0.6972325310016433,0.7165392704444763,0.7585932944918213,0.8214985534357431,0.7819060563487786,0.8235748405041708,0.9069498613540442,0.9408803109238859,0.9157208162503282,0.9617867297240554,1.1512400923034571,1.1683125998203339,1.198179043061855,1.1535397932278726,1.0154305260180017,1.0439486717608366,1.1434545675983814,1.4742202239618154,1.3069754220569034,1.1870862703972533,0.8662569975423694,0.7975167905523312,0.8153186258420192,0.8401158186197075,0.9371794827874274,0.8373512848394415,0.8630314071565067,1.0142846888894272,1.0136224085900487,0.859351391641097,1.2046385295259905,1.2923167813281289,1.0529815142043613,1.3121864787676092,0.7878948660376102,0.89597432233045,0.8019938067853122,0.7803880309086678,0.8489235701928461,0.8125562536745657,0.8354673665675998,0.7614663337949995,0.7689654936148121,0.786434763580039,0.8086576473303465,0.7401994616361803,0.8259991664957071,0.9093270556153943,0.825031882291018,0.8144219100263442,0.9079758435075013,0.9997783980528834,0.9204335739134744,0.9217556045882421,0.8848910501094662,0.8564070992756044,0.7682094256647062,0.7979564401851956,0.9060380494087231,0.815881905752127,0.7608061485579102,0.86668751353844,0.9358185770003503,0.804709022895128,0.9400558344607552,1.146619125295581,0.9770208608891612,0.9457126125440422,1.1359933599408594,1.290333399350641,1.1953629994231056,1.0572085475429658,1.6032892965529444,1.5863647467053816,1.3381288439922203,1.1920200341190166,0.9712734268864259,0.9506722902590303,1.0956817006787827,0.8882813165816479,0.9747471850467675,0.765385809117702,0.7511804664485013,0.6838075786842382,0.68981583602679,0.6288096275867754,0.7351497836301348,0.6754406756129614,0.6938471980988289,1.1308026261297084,0.8244965428087302,0.7728793401141297,0.7815682840218208,1.06801072889366,0.7079386864824239,0.9077013527629892,0.8961070221900719,1.6206941429838098,1.460524020175657,2.2693199666411736],[0.5337641919426397,0.5508943198905367,0.6600327515725926,0.5735261125800378,0.6372809487396357,0.5361414275564144,0.5112741144345715,0.5532747135964795,0.6187807150454233,0.6005448927299889,0.6121311326872486,0.6541066865584967,0.6389249212437774,0.6473406354356849,0.7341918830027854,0.6751227305966049,0.6387138263952513,0.7199866005390813,0.8011134265837807,0.7577595277559007,0.885732780149496,1.0528584715479785,0.9428565856175579,1.0520571181796057,1.0209172068517587,0.812071416464738,0.7437916841646663,0.730855843350636,0.7210158361759,0.6608362713408616,0.7428181442537797,0.6482673289485136,0.6696943323199459,0.7074730330998075,0.6930789308470814,0.7198825398600799,0.7215648566218539,0.8481681460008976,0.7315816674697708,0.8896539459713356,0.8555631713469258,0.8222166915652964,0.8356963379108205,1.0311391983067353,1.3207150048021774,1.8103947831584861,2.307697278917495,1.3916851520162077,1.5023033222528832,1.9840583625139945,1.5979840205702702,1.7013798514873908,1.3135210169677305,0.9742554622524213,1.1303347774676535,1.1065461041000795,1.0892680581797125,0.8981665115511063,0.9526289707945037,1.5357629162639344,1.1398431730292293,1.0018654134680172,0.9248712419214367,0.9667766173432168,1.0034308522769735,0.9190293989331477,1.0795674983916148,0.7827604741625371,0.8429738374889676,0.8809766557941462,0.9402680991399808,1.1941443411404087,0.8885299394198617,0.9733689383833396,0.8239710745508005,1.085055748043748,0.7876894407188356,0.7816378136951166,0.8474410457751699,1.0005645540651287,0.7691229555243155,0.9870201065562731,0.8174852014713245,0.8602493857854732,0.8410692932278416,0.6914080525856403,0.7621304575243896,0.7802505218373961,0.761510855383342,0.7618381101912415,0.7740177529127539,1.1652113089705236,0.9569633502403384,0.7605390812701474,0.7154976250020172,0.8118895823295214,0.8380674733209449,0.6718625735397914,0.6164806545891829,0.6407516550584049,0.6144971364544669,0.6347982698646584,0.6687884062448166,0.6305461174487751,0.6741297523728608,0.7149442520192569,0.7421252349147873,0.7292864476785721,0.6436436052485669,0.7452878803217774,0.6007675537674653,0.5645453655019121,0.5419468466569702,0.5496603711760196,0.6561424321371438,0.6425332037783185,0.686965934872101,0.719964183083313,0.8285978440239047,0.7441664577244225,0.7468621934232783,0.7223445368068717,0.6832359208901673,0.6469888265694621,0.6066618781727358,0.5357896868008525,0.6685238667929544,0.570486132270034,0.6231257301080148,0.5915188507872847,0.6949470984005938,0.7183504445186326,0.712826836286455,0.6163235817320659,0.632407511677775,0.6450471747919218,0.6355004085666486,0.6249443156130022,0.5918628468122316,0.6442896747325323,0.7302749345173758,0.9344924245099739,0.7887209621186828,0.7166202198078552,0.7325833874919846,0.693637712122908,0.6579104938861399,0.6510059292293338,0.6075432049097017,0.617519123527227,0.5403137429472872,0.6793393518007371,0.7865434511152656,1.3915296922634217,1.2191521610034266,0.5969490375057209,0.5798754599008877,0.5759528974919808,0.6248519167572221,0.5946884184175015,0.6512329831906205,0.6700765246576098,0.6817761534935728,0.7334666750565925,0.8937372476678136,0.9710007601803881,0.8599742857299202,1.0993727743087662,0.9716333575154915,0.8104541265197042,0.7055701969906044,0.6620111883693607,0.6633448645536283,0.6502748521107736,0.6406513074609274,0.6274053452272862,0.6514182720249259,0.663761622226849,0.6643920179443265,0.6524667317068823,1.053111399156905,0.6661916647649038,0.7571350326112201,0.793745579106889,0.7772713760461268,0.9021123396821132,1.089760275725797,1.5728549206144242,1.9412608808804963,1.5341942462391356,1.7059868574758816,1.4509523591538598,1.1821214470988273,1.119378297866412,1.1296482063567626,1.1851896494095608,0.9472561494289192,0.8948799985434172,0.7375681457462985,0.8417054211107228,0.6687779318995448,0.6181662306336945,0.6272528792854652,0.5902222073462152,0.581281424842182,0.6174280982946673,0.6066021043574711,0.6580162519101749,0.6240388523234726,0.6716167859937682,0.7453962047380606,0.7846210732749516,0.754650697770563,0.8172996062373932,1.0278217291909975,1.0404660191168238,1.0856516882346245,1.01185288234572,0.8460112364369667,0.8657746075980265,0.9890377758220775,1.3085402964270028,1.2481695822074117,1.1796039549266955,0.8140540984747369,0.7103002352346135,0.7272302747725002,0.7510775203183383,0.8247041573579095,0.7355782034384969,0.7992579653206966,0.9721472670710125,0.9256693203420484,0.8054378793354725,1.219716664987392,1.266704576175794,1.0107912832054686,1.2461816975976658,0.7162840588325646,0.8833584444677182,0.7762363009141094,0.7321926528233177,0.8354097597207754,0.783307810800512,0.8573069595706815,0.7166241901371284,0.6875518997994433,0.724782029405183,0.7746324437638267,0.6509705778931214,0.7015881703951268,0.8012858001815365,0.7006606411288375,0.6731296067655402,0.7580096126736416,0.8677378515636877,0.7597330544249162,0.7545830988667197,0.7077302383310194,0.6771521559166556,0.6138182269290863,0.6571749584892097,0.7157092774646998,0.6454669094671751,0.6338307414553387,0.715495661970414,0.7719376671171654,0.6593686467870695,0.835866276244875,1.02904323474035,0.8376625993965111,0.841709370861412,1.0892042684261551,1.2315329913093243,1.1075642645669403,0.9188547989306759,1.552351588503441,1.4671414154300055,1.2010403846410906,1.0571158860140502,0.816622514254731,0.8280232912791532,0.9913208432663244,0.7354667569847732,0.8102347186841468,0.6213382326069067,0.5971229322634278,0.6111224065078998,0.6692407389386709,0.585514028974259,0.6958918654639732,0.6485709306138462,0.6237525950294216,1.0409626062042556,0.8292995405478858,0.6990411153117103,0.7043659397533808,1.1006761911797633,0.5681768907172727,0.7467826328599053,0.7137439989148607,1.539976506141087,1.4154032536089431,2.3759991033376675],[0.575110013278269,0.5921331964615281,0.6962544697963475,0.6273982287626031,0.723352479264707,0.6257195265615542,0.6423248499529454,0.7032517085999189,0.7730984201578702,0.7801157995805575,0.7928104143244403,0.81565327909469,0.8307036587142297,0.8249530312372371,0.9107720132511242,0.8723780239961624,0.8519404904638174,0.9375997221778982,1.0037065561837715,1.000225465376869,1.1397381628917966,1.3464274077996683,1.1489697575686888,1.2695539840147894,1.1239977645047852,1.0102587804502303,0.9891561288135412,0.9744258796026243,0.9575589374546559,0.8983295547264278,0.9520757786062697,0.867335292852718,0.8965959455778463,0.9361175854998502,0.9252064077171577,0.9597701105504354,0.9524682493140196,1.0821392682495223,0.9800537992611016,1.1648672917735272,1.0664569592994926,1.0691577131904357,1.0592252160017468,1.184030558085667,1.492207656947672,1.8540835471363348,2.3794292364872347,1.5217702430990676,1.619741225659706,2.0116591205943335,1.7051484660680112,1.7666820815671778,1.4386280116942263,1.0562211784965718,1.1565586514500552,1.3067234222656725,1.26861410349571,1.0563258251725247,1.1560211804947427,1.7718842896296225,1.3954019916944804,1.258258980028517,1.196058975001086,1.2514860835922674,1.2927745055199222,1.196860733577517,1.3277530487571128,1.0257657754036316,1.0355710377977072,1.0457336922109721,1.098941748669498,1.3601633730339318,1.0447148431505942,1.1473384027092683,1.0326899818660902,1.2732187036892757,1.0191270386177138,1.0213515909414155,1.100547830599409,1.2644945049049772,1.046579148705021,1.2292234144653253,1.0230022598688195,0.9840317534145541,0.9566363049669202,0.9194373364346159,1.0259798116571552,1.0064016728366536,1.0167829166215108,0.9977821503832661,1.0194616735248736,1.377333250146967,1.1581393903189943,0.9578125293583798,0.9111400412900873,0.981569635879256,0.9987362116257997,0.8760275915674699,0.8152829589013756,0.7810106529592319,0.8187426666445864,0.7924029260534585,0.8972862940226368,0.8519282035514675,0.8915690261788494,0.9074780992517054,0.9218807039948234,0.8844173918573957,0.791688681582466,0.8921266356278924,0.7487167954849883,0.754418775341027,0.7093084827647214,0.7433571127194949,0.8584872573149448,0.8491622059473809,0.8939244302783385,0.9419358852685412,1.016421741980807,0.9510661490768009,0.9291493487547441,0.9019710317592575,0.857572109471228,0.820838462116338,0.7660055213470282,0.7126638893377635,0.8000561957180413,0.7443937808976754,0.7936275621169473,0.7774848170675254,0.839620606242644,0.8632948816412559,0.8784994560395575,0.8108799062600317,0.8173397998840555,0.7946152461581963,0.769531843227542,0.7723514162966942,0.7709456647013121,0.8654688257955958,0.9604420581723762,1.1472668879286358,1.0471083096842062,0.9702362346848586,1.00613170563223,0.9437282689180115,0.8941009034861923,0.8628814703441948,0.8226307129097782,0.8049910522867346,0.7150995608522778,0.8488449010789682,0.9223788221213628,1.4757461192413655,1.2635126566234578,0.7576703838147386,0.7506464225312689,0.7685114321805739,0.8360566785408887,0.7982326341693174,0.8746287434344612,0.9175630192006744,0.9313393055656162,0.9799327480053784,1.167007344010106,1.2021459168970081,1.0677948579447767,1.2819111864886714,1.1204466031742981,0.9619523539907103,0.8862465889407206,0.8614130762903431,0.9000905305381505,0.8966896821697418,0.8807165909618739,0.8607650781716538,0.8800363454631184,0.8959101476405962,0.8953380909174571,0.9075560975026778,1.3176149641196824,0.901923839016628,0.9865739356696043,0.9876122142886506,0.9922210427891821,1.1488922380666264,1.3787312707342025,1.8844741202329225,2.2247887000063526,1.7880904858733642,1.9140114687609349,1.6834565386620246,1.3745257556075192,1.3062575417315023,1.3478069362140253,1.2952179940647401,1.0564914731823483,0.9976344646080748,0.8202022283258477,0.9634133748358875,0.7695399861142939,0.742875229933902,0.7441331319517817,0.6674526215320083,0.656182935110801,0.7021477972105916,0.6606887238322848,0.6930012875632212,0.6737208052052767,0.7148174122323984,0.7732939730523045,0.8019857247458618,0.7817612538079125,0.8396452256185777,1.0363515259993465,1.0538991200493868,1.0926437707994523,1.0046188126731619,0.8391839395482167,0.8580490992605672,0.9643974092602282,1.3131721533586018,1.2534596087682968,1.2560090192457696,0.8580339248531346,0.7676468428605384,0.8140380366349825,0.8076940628800471,0.8434541635677247,0.7837004998580258,0.8672289727391093,1.0083434371851656,0.927154313173402,0.8610803541169532,1.3207255979188346,1.291765362290498,1.0491926355637011,1.2818457744052136,0.7785929556207889,0.9736693648873904,0.889025705667773,0.8491244923381139,0.9735908464461377,0.9107081222279789,1.01212397701596,0.854758638722945,0.8093603384781491,0.8636843349350223,0.908729394229642,0.7629922539408316,0.8062345685975764,0.9035710300614502,0.77432028537753,0.7296753911327629,0.8140155074670293,0.9065529838479889,0.7770099637020399,0.7614023492570818,0.7280693912077161,0.7007967305999347,0.6803885403893601,0.7079356628387864,0.7223522997625809,0.6793146162425819,0.6811640884631097,0.7300023310285096,0.7760832581939183,0.6961036050983213,0.8586587540061709,1.0259709720972772,0.8520724216461156,0.8738068131807617,1.129513198006584,1.2510371873899622,1.1196384303054214,0.9201765065909979,1.557839880068264,1.4473638159775588,1.192627390186417,1.0585372787565661,0.8334523678998608,0.8595683136740617,1.0268038718716395,0.7665387080958426,0.8066971521170974,0.6565819180786928,0.6244164902279739,0.6770037896992325,0.7685491334223515,0.6982789631666331,0.7811095610150527,0.775876126917715,0.7477808658996322,1.172094718638085,0.9457214181376329,0.7834389437694452,0.8172271552006726,1.2065528087141972,0.639266876051548,0.7709698548468703,0.7385534812113503,1.7616248221752382,1.5164277305340237,2.3322782439346157],[0.6147871168403497,0.6648356591896373,0.8050533595579208,0.74233487633485,0.8732259902171131,0.7734832697516708,0.7985841736522636,0.8535108691152913,0.8956119884238951,0.8993819390816011,0.8974214021553177,0.9232534415930949,0.9494737609824963,0.9187450235637565,0.9850980005180558,0.9672336756067977,0.9437413224035623,1.0052604466616544,1.0369296695559793,1.0524944690658533,1.1651559908428244,1.3653611022563117,1.149382388018034,1.262568702702852,1.138530407204733,1.0392931361777773,1.0556786551988635,1.0548262551309575,1.0435641425685505,1.001305355401121,1.0235854598872494,0.9716834160705258,0.9893523805203142,1.0135308445041225,1.0135856093345073,1.0403447831984092,1.0544731228919497,1.1559037993277068,1.0625101018953502,1.2325054346336144,1.1250360820202008,1.1142129137294676,1.0932477562254184,1.2037107224396952,1.4811245517715572,1.8500645309098878,2.3534530665337625,1.5229607777104701,1.6311326006073004,2.00338267800865,1.6964094885272432,1.758737506316758,1.4408205456432719,1.0795907465540913,1.1673851757449614,1.3142142928970573,1.2792526394610828,1.0982238519071925,1.1853727637099736,1.7789315821873803,1.4127989890323016,1.2763332737363273,1.2285880162168952,1.2507954323970907,1.2998412299659627,1.2325802329996016,1.3445853398650807,1.0637313200485385,1.053594656449303,1.0746736861214856,1.1134080186636646,1.3600720391455743,1.0559231876366477,1.1524270984935223,1.06569933036409,1.292804596837186,1.0562074788647196,1.067713712902339,1.155957459604807,1.3168848873540018,1.1314075358550015,1.3062756073869057,1.1263896743968593,1.049714688155508,1.016287453245801,1.0172429835789232,1.1058819080640836,1.1008503600415853,1.0871458787426656,1.0659322229042183,1.0759902985127692,1.4150638400794577,1.203590886822008,1.0190751476689222,0.9831217334292991,1.038909505928669,1.0730723450037014,0.9682741424070879,0.9272691478319697,0.9033690060780539,0.9443782633124906,0.9339248531187968,1.036907593932452,1.0116902507180405,1.0419353214921054,1.0613292024120602,1.0767233697974756,1.0268269140459472,0.9524372222693818,1.0484071102603527,0.9153942206539887,0.9178293988785976,0.8692602110782851,0.8991712281531434,0.9890533223551663,0.9761605746668454,0.9910430018865538,1.0260787617443463,1.0528187493328613,1.0102760056016518,0.985629064303713,0.9908094560953229,0.965633014628195,0.9473115241281279,0.9109140756264522,0.8750804458529232,0.9635085200929436,0.9139413377733434,0.9607406958692838,0.9408124277861936,0.9861846143352319,1.0047769441057015,1.0176280090291254,0.9681808693511497,0.9726140626776922,0.9481301506888397,0.9222701857447327,0.9191524574842949,0.9184989601146882,1.0044785402242695,1.064564280682143,1.2069190788247584,1.1212932861712344,1.0717388247700155,1.1025254353390828,1.051971497284839,1.013733374614454,0.993156497862435,0.9736310832527578,0.9581619045851103,0.8848402634816591,1.0076202105677021,1.0667209803901374,1.5752567712880736,1.3352272090990807,0.9008893952807441,0.8904178278017172,0.9264551195881909,0.977389723725503,0.9559282757479767,1.0156090850975314,1.0411093871005295,1.0503548824875943,1.081717188975982,1.2580716596727084,1.2900178100354869,1.1672066892023263,1.3517497439366422,1.2115084255453434,1.0853828963445495,1.0212506636969472,1.0045159683686589,1.0400695026320605,1.0333269262628615,1.0111367566417113,1.0005257507335685,1.007264178433678,1.0226872540669862,1.0110261216605234,1.0425473513101662,1.429444319029898,1.0498511728641695,1.1219710091671171,1.0932597116101495,1.0986727682349207,1.223615574361704,1.4527470193644407,1.8913113971501718,2.258696037211552,1.8213797306872348,1.9360227233551488,1.7543075862049575,1.445789656558203,1.4071660155632113,1.43600272883858,1.3515775965472923,1.1654847936144488,1.1007729683947793,0.9433650354890514,1.102544647059157,0.9238141475182438,0.9225075396429048,0.9189473673743382,0.8324613560132522,0.8278996100650727,0.8682551376829681,0.8170395370277505,0.8270643351110634,0.8253921230971515,0.8440470193767691,0.8768363540428141,0.8903962732231963,0.8758405592085301,0.9322312208376856,1.0914241280429238,1.1238914443970374,1.145555450571431,1.0422397406923094,0.9009178083335118,0.9207371890872562,1.0119193584731017,1.3981371537063196,1.3411519931115115,1.4372457858364165,0.9851006254460007,0.9059230861722326,0.9606666571670646,0.9440437083734253,0.9332039086424111,0.8973221626368286,0.9977499921344647,1.0872143383375317,0.9867595282371774,0.9676957564255806,1.401319766531602,1.3152453815290672,1.1243873223199499,1.3467004092249988,0.8966782597614429,1.0762778966445345,1.0334635362112654,1.0146206411289105,1.15258699563916,1.0911054986174378,1.1854582321274478,1.0410578660100105,1.0079603348898143,1.0609207993454952,1.094268774229072,0.9506297708413588,0.9861991964670541,1.0650038104245603,0.9264138605171123,0.8806550623421034,0.9499421952293247,1.0072539433159124,0.8684239176051745,0.8537209472582235,0.8425395742661637,0.834783521622655,0.852059020818487,0.878272859937353,0.8336997838329667,0.824167670711578,0.8387135246584158,0.8453545044438124,0.8696981085507944,0.836054094355024,0.9735795286525903,1.0862621899977303,0.9598772482098076,0.9888448105385343,1.2135866836242641,1.3119803511123096,1.1892604853662692,0.9883932694882317,1.5602606554301504,1.4703352877445754,1.21353973232823,1.1083514159033603,0.9333805295449112,0.9617034912242062,1.129457861458878,0.8806788886561941,0.8894236829977803,0.8023607891038086,0.7593064094802676,0.8226102738808322,0.9187238301069208,0.857526216599601,0.9233945200455151,0.9471132696967689,0.9296784949460529,1.3367779056662035,1.096413217519426,0.9276877301332409,0.9770467395220668,1.3344330265361437,0.7649386273132427,0.8465970416509584,0.8516160982164158,2.02498171777775,1.774670173962549,2.386134229770665],[0.5415415310889583,0.5966839209408771,0.7507293710562923,0.6464021997973364,0.775762818862881,0.6801901011087933,0.6793140355377741,0.7275265350966059,0.7376469115976337,0.7102748958444772,0.696584665943569,0.73429461075097,0.7535504361807466,0.7004322207726367,0.7672661904205492,0.7450145673423789,0.7047436740003155,0.7481528572290389,0.7853120932262235,0.7810864459312011,0.8809419567183604,1.0809738848936734,0.9491242697021961,1.0422729422820656,1.016922069366483,0.8135519445626351,0.7789552380569782,0.7929556298485078,0.7926405724528847,0.7600103495894422,0.7803773325625927,0.7386956875380676,0.7572493996435086,0.7694320317350608,0.7725037620066403,0.7898732893372368,0.8203754382018074,0.9260933870982506,0.8227393135505612,1.0042359561033956,0.9050264155426166,0.8585935301686615,0.8750764689205214,1.073386828738946,1.3524848112193228,1.8171195863625247,2.3358110288274325,1.426297452196766,1.5357778864334983,1.9984154265284282,1.6284196547927006,1.719917681907459,1.3577700699628157,0.9862376503571756,1.1151765955552242,1.1710535192391838,1.139633739019281,0.9366734989284634,1.002223295301728,1.5627788983860642,1.1730213345753575,1.0285900900035738,0.9503235236802594,0.9792356239048401,1.0105480231840513,0.9411984442967153,1.0450498105943784,0.7855273309089142,0.8080885430749033,0.8593200002803609,0.9116166860868548,1.1932396858770473,0.8401147905524796,0.9416306229999922,0.8158163070502683,1.070476056478807,0.8098905681136398,0.8182966069272657,0.9120748954223976,1.0701638134993172,0.867356420763626,1.0783129918914212,0.9082954443892325,0.9068832985039246,0.8803703642411885,0.7909478870233375,0.8463881438201328,0.8648902644056409,0.8259683020376731,0.8260460872330403,0.8255570825537082,1.1846672910941223,0.9765068898512557,0.7882203391151458,0.7611683723708024,0.8462386815374349,0.9039365074706703,0.7609108780121508,0.7244157560553517,0.7154235646088563,0.7454978101374335,0.7812425978202422,0.8340444148290446,0.8376833631717656,0.8735004799083943,0.9372820799878201,0.9634232473606471,0.9213847659015374,0.8630154556888305,0.9519803237077539,0.8240477282735119,0.7880986202154393,0.7187059456999664,0.7211008229395943,0.772264592771056,0.7450377446287343,0.7423981084859543,0.755495944887132,0.8187283290812531,0.7597744290488737,0.7489388977162644,0.7409217696480775,0.722645115223498,0.7527318608314791,0.7532873755892925,0.7170018405831659,0.8764766437076594,0.7941616181563176,0.8668014657559007,0.8049011713841455,0.8892649469633207,0.8971543192649224,0.8773675955293815,0.802998984435288,0.8105437948142792,0.7740292925433631,0.808904154251694,0.7564421951568988,0.7289703165374477,0.772286264156132,0.7948283734608114,0.9828324539329375,0.8448131008125438,0.8147497982958809,0.837727364121647,0.8040142610426828,0.7836439508256907,0.788544534166457,0.785686988199719,0.7853320432065333,0.7268104496244066,0.8576927824851897,0.9083073469763162,1.4091426025461093,1.1809925905356238,0.721767283939179,0.712706160669045,0.7550398959261719,0.7817191314026225,0.7785455436014191,0.8229234524036897,0.8093552225595979,0.8169864287010329,0.8577548601505267,1.0635293383785052,1.1015351283058321,0.9974538813606273,1.208272173090599,1.0869006293186356,0.9308319389610197,0.8592750600991292,0.8021505048410691,0.8214809268794915,0.8112435852784405,0.7917385682517455,0.7922918237588572,0.7898974702986311,0.8126000672718799,0.7891415550367362,0.8191201012559773,1.2385387885400496,0.8658294787326835,0.9386272316183953,0.9205922578143486,0.9182309137922863,1.0332973803128471,1.2308077408432747,1.7169683899853199,2.0452596972851405,1.6375765371224296,1.7907151090354954,1.5825015604790513,1.300324090304118,1.2759055408304854,1.3279641171082033,1.2787311198939524,1.0845280616441988,1.0449444008515605,0.892381320019972,1.050271159466313,0.8759956960192099,0.862706023414596,0.8569733220415665,0.772511409397398,0.7711523887596663,0.8037320844034026,0.7521395033542546,0.7652969760256814,0.763965982435323,0.789546659243879,0.83854145577241,0.8552801464570986,0.8209314500100442,0.9007925832352437,1.0678704633329157,1.0988287547812727,1.1202302732140108,1.0133012495852296,0.8588402988958003,0.8678099320399677,0.9541754393686196,1.3555366905894188,1.3018599842173904,1.4184606259384303,0.962419377613405,0.8649201677815334,0.908516918274335,0.8841223464863845,0.8891810024016829,0.8551652720483263,0.9420170384541029,1.055415414818438,0.948289344452825,0.9168711653874763,1.3456954605770266,1.2737666942205217,1.083981634928404,1.2921546628967784,0.8440025000201737,1.0370248024146433,0.9705980760092477,0.9510996727810389,1.0715825085513997,1.015993451421134,1.118703195715677,0.9562013410340805,0.9219246213147535,0.9746673168226683,1.0099148008837497,0.8791652157396668,0.9031402005301223,0.989149413781894,0.8556234047276419,0.8206013140636531,0.8829627384574524,0.9474924436552424,0.8176865788114464,0.8012964232125948,0.7939778947933537,0.7729477018129317,0.7883454425501076,0.8150438137242221,0.7720410096631157,0.7640178719966118,0.7828158117708566,0.795336370326865,0.8183741812327091,0.7808997441954199,0.9274478183236968,1.0643424849248264,0.9260043326003776,0.9447426072027089,1.1918646282142156,1.3056004484100538,1.1734508023572396,0.958844374812806,1.5391887501815267,1.4376456375351814,1.1770270186620049,1.085144489688793,0.9055350940239212,0.9393375784027441,1.1278162006666896,0.8660000934729294,0.8652899530306744,0.7723950011185133,0.716602098174795,0.7708725068849139,0.8644092236669428,0.7867988453321982,0.8663721866450106,0.8680064936440125,0.8393173604142118,1.208739609168291,1.0367246958639473,0.8666322248594907,0.8974341525836749,1.2787407135732312,0.6797584377463304,0.7681297628758752,0.767492663412757,1.8715398778039438,1.6576308261813462,2.341976363210564],[0.5487691792620382,0.5759564634701392,0.7160756257443814,0.6101351567728169,0.7415922172795143,0.6567486967308362,0.6774663375379835,0.7379046394282567,0.7517968350240385,0.7495897940902755,0.7476131897590785,0.7756868644007269,0.8193920485742023,0.765734492894473,0.8397395462297671,0.8335964752669054,0.8058866602979796,0.8822477751211204,0.9348788355965517,0.9424047073521014,1.0705917579939954,1.3177980895110195,1.1212289841723724,1.2376680129044102,1.096770017687085,0.9618013941724785,0.9442441384435726,0.9337657221087077,0.9219022521431774,0.8683613007125911,0.8961610866297369,0.840203177207862,0.855924587666445,0.8959073326602581,0.899535092232729,0.9305713568960955,0.9449442043824193,1.081426470145245,0.9828819342949637,1.1989337212604394,1.0442064652123135,1.0503467581433827,1.047074851120485,1.1862712006661456,1.5225714777943984,1.8739994739517982,2.4357385968609404,1.5441214435454502,1.6294541855902889,2.0116376967265985,1.7373681293572343,1.7968656939544463,1.4834850040833338,1.0739206862360708,1.186158036438169,1.3336036382967345,1.2802016961901987,1.0539822646140105,1.1507403746286193,1.7656347609077407,1.3736508639191354,1.2212631146463264,1.1546246964905957,1.2346611195507244,1.2485038749403108,1.1405358657865152,1.2335569442301215,0.9558555326112264,0.9546174351152545,0.9748210460453514,1.0149857631188286,1.302233936814617,0.954448594539474,1.0697947502033918,0.9634448348457262,1.2134103419827686,0.9711344019382504,0.9837911936093833,1.0866128531120967,1.2648135869066508,1.044384407555971,1.2485498851285708,1.0268482400168122,1.0297159131707112,0.986297297028241,0.9346973646061099,1.020943831997972,0.9953143353914464,0.9906024490201443,0.9757671348255508,0.9723376752680465,1.3232750436631162,1.1007231699071494,0.9046630215822005,0.863315101724176,0.9357898155651515,0.9731476169044408,0.8300430061060718,0.7764846935052068,0.7459718222208592,0.8118091899880735,0.8367921142606154,0.920293098022827,0.9022196143007264,0.9567118555925959,1.0013631556185356,1.0342373636918685,0.9896353171863141,0.9084771607772949,0.9776555852937482,0.8441788377345141,0.8301176077213595,0.7422689435579823,0.7616844857537366,0.8346496938109048,0.825015337728444,0.8473565671048866,0.8876535495717965,0.9514138402251654,0.8866942800288613,0.8589509788356474,0.8292404262760581,0.8009038016830524,0.7999332175092355,0.7724056890027138,0.7421023874209273,0.8805994237675049,0.82709621977706,0.9079366983966028,0.8716327563126034,0.9555928857371626,0.9799474438997304,0.9717077249176059,0.8997193092206235,0.8995006353332917,0.8267321983213133,0.8558547209476163,0.7981089547883142,0.7792556595811186,0.8640328711496386,0.9309826524704656,1.1378084520492757,1.0195806548947999,0.9566434486607374,0.9968098335714694,0.9329898635304579,0.893832626570038,0.8694603069119798,0.8484935232972396,0.8239268302702489,0.7473653750704666,0.8667582831577357,0.911497639071334,1.3885533780067953,1.1700199530676219,0.7442031988375057,0.748862740583983,0.7964687094511513,0.8514909811896897,0.839233173451555,0.9060901998487776,0.9281236895638749,0.943164306391859,1.0029391154323488,1.2478611462013502,1.2353772112212,1.139115499372329,1.355390690136265,1.1922521109216164,1.0056014878833446,0.9498550900250483,0.8932682606449353,0.9427108329907071,0.9362132876987296,0.9113018859424612,0.8934836790959726,0.8891922891026937,0.9060581384881754,0.9176570458391027,0.9437442634526263,1.3716839264461125,0.967274726639347,1.059352731282168,1.066662584186714,1.0696750840385028,1.2186879228945604,1.4199846203159805,2.0278619803470654,2.255783777581067,1.8588777825846066,1.9991548915420378,1.736050390851392,1.451774622810235,1.380449686396101,1.4893581941886884,1.413218450726327,1.1666739552452046,1.137401642565773,0.9562108945749593,1.085652471830635,0.911130916680877,0.8743236209815289,0.861483312825394,0.7693204772013116,0.7546747342125297,0.766881867593911,0.7079265859490911,0.733766913659468,0.7215262394931562,0.744209317848333,0.800108413019438,0.824451391488068,0.7738615353097077,0.8495896192458889,1.0388579726006455,1.0583687961323605,1.0890476413801085,1.012488841411841,0.851766594862298,0.8543714405518222,0.9722956169940395,1.327103448714206,1.2833576586089972,1.360096936756965,0.987561962499877,0.9071884776268319,0.9386683240793616,0.939824465690578,0.9633592340720528,0.9193590614164889,0.9921751001059895,1.1260811786133202,1.0127821776725143,0.9924824522652224,1.4531381728258,1.3850898123319508,1.156645197856928,1.3328733368460979,0.9110006480164797,1.1104153968825432,1.0255732882277893,0.9741693779894134,1.0863193931432495,1.0200756182164292,1.1236696749521573,0.9572642445162997,0.9021392525789846,0.9529998881821664,0.9959254303515135,0.8455665229119247,0.8491503464677165,0.9379088957725421,0.8011079413343731,0.7596966186185421,0.8270603400803236,0.91122813082294,0.7781092620179274,0.7665974702766275,0.7660335053914324,0.7485770377318753,0.759541722987959,0.7981102080755765,0.7631073347477046,0.737291205660678,0.7832771696399831,0.8055473059014782,0.8205692229743329,0.7840141787057509,0.9596580740707176,1.0910022810269797,0.9163344726184351,0.9645631715802238,1.2560554979147853,1.3265548730843997,1.1870421209749042,0.9571094188323465,1.6007246912315407,1.4260971772997164,1.18877119771899,1.072087096192279,0.8644202869720846,0.8926295446201055,1.0714801842388975,0.8272401106489816,0.8481618148353276,0.7426679101593635,0.7247069997581956,0.7738685350682121,0.8927098237743911,0.7996633895399882,0.8562367901261394,0.855270097002884,0.8008180847189784,1.1549463645798335,1.019085961993048,0.8258726005882702,0.8539237352556024,1.2617567317531466,0.6519654800732142,0.770953639575433,0.7203589254789226,1.7267902817296625,1.5328018438531763,2.4283999820453173],[0.5633167814153054,0.6197277959499706,0.7968547045999694,0.696545792057622,0.8724373589946157,0.7949142756102661,0.8322479775325503,0.9028620451407653,0.9090199885959964,0.9380265029290872,0.938953818837939,0.9702037278068161,1.0412247164789696,0.9694200661479806,1.0332355506398034,1.0608109759316997,1.040499130924624,1.1273920081880306,1.1545826868789508,1.1953942157740356,1.3132857791940329,1.5684239961112942,1.3250658786646623,1.4337644139884989,1.2622200862849375,1.192305613817458,1.2169061928741332,1.1887781477291597,1.176579389883803,1.1283838916369984,1.13001781325791,1.0919657323218257,1.1013469371183133,1.1429870566984854,1.155079525247884,1.1857952839210992,1.211171386812571,1.3394426311719008,1.2388952438652172,1.4560848098394286,1.270268882002384,1.3004769173100699,1.2717982102222227,1.346324695591018,1.6680135671079774,1.924661173869192,2.463069711623262,1.6537643571035745,1.7516409646556024,2.044085116720614,1.8387717080969586,1.8601972547385106,1.6115960269299903,1.2114056885921414,1.2921265319649493,1.4904059388900466,1.4329935271679581,1.243446032455135,1.33831520542053,1.9566014044169269,1.586328301877444,1.4519802447497765,1.4089213275254031,1.4749804504847674,1.4928147728312389,1.4015033322655333,1.4691475087343107,1.197250124555242,1.1577373575666925,1.1615137130992814,1.1758863106408355,1.45819422853891,1.1337522887386737,1.2443335257895267,1.1789911339634844,1.405775923464193,1.2127477978225119,1.2331954900819013,1.343978864594596,1.5166595383243404,1.3304756131053124,1.5038302156552572,1.2888518615947553,1.2167716682353398,1.179940082306006,1.2007461884864516,1.301248243274305,1.2579432325037267,1.25441799289183,1.2320462889244803,1.2102109215467605,1.5207669079931976,1.3054000992679002,1.1282485691845343,1.0849282140311158,1.1275815279258745,1.1677414825410029,1.0426196798461222,0.9865406346623721,0.9439160494807437,1.0467058112864212,1.070841407672573,1.189007821665979,1.1455526979183006,1.2092333626933056,1.2299149384369272,1.2636729515534184,1.2001918228138846,1.0983719651396309,1.171293538819251,1.0164950672403053,1.0371363503947169,0.9446265395245682,0.9856200063116894,1.0628211044685811,1.0591172001552422,1.0807577193286253,1.1232074499502798,1.1526299442788892,1.1093238469524709,1.069896013555452,1.0431590171511946,1.0148602156369908,1.0049465976085703,0.956701101078826,0.9422071218890037,1.0606268124767855,1.022601880795145,1.1037869378766898,1.1005312233039064,1.1443340739007255,1.1806000437471578,1.2067769204792056,1.1541944907431387,1.1501956255969552,1.0622059964652524,1.0438747598711176,1.017939941295828,1.0019285192427927,1.117692905380584,1.1910413920009237,1.366770921117563,1.2810808568057646,1.2182103591330182,1.2717050063601418,1.1949691937350697,1.1488920641732783,1.1180934695241977,1.0974042836261635,1.048708714823946,0.9651670648199877,1.0745856923967774,1.1078102780098331,1.5272405935687454,1.2890592920799475,0.961149687590715,0.9695639520296618,1.0435886990624264,1.1016230033707817,1.0820530667485269,1.158662030616905,1.1946361114751072,1.2103275070492312,1.2691088412515203,1.5061780887452025,1.4681581337353726,1.3788720459383161,1.559376631708863,1.3925236982761002,1.231972883247461,1.1841322349973027,1.1472150918010746,1.2215192141663223,1.2156410363502062,1.1843222935856599,1.1583439839686047,1.1539727193075153,1.1727506005694734,1.1908701537981665,1.2198437801256174,1.6249959300127745,1.229825908720989,1.3174521560416697,1.3068148914631983,1.3211348201522386,1.4676916126446187,1.6813436796914527,2.2610794699477723,2.4844192861339645,2.0830813714775305,2.1866479389526816,1.9774361093938406,1.6657971900524855,1.6016522561510393,1.6975091821128134,1.5426362103711941,1.3119732217406517,1.2664713169798716,1.0840265205122088,1.217623070369961,1.045012575629103,1.02882290291718,1.0085440389220968,0.8964397748917796,0.8900630954257703,0.9039397465554377,0.8305074777029424,0.8349162845704318,0.8385962981067688,0.8416797460127774,0.8752382995189121,0.8888292096973164,0.8508552435486796,0.9103316477518058,1.0787553993977415,1.1139277983706437,1.128259973957702,1.0440284099021677,0.8997841027379209,0.8994311247926132,1.0085888430062677,1.3765837389388111,1.3578757894332079,1.4870913793338612,1.1019941300584106,1.033996141172667,1.0838488636143584,1.0727343811076655,1.0627836783192792,1.036796114424394,1.1263598079780324,1.2335075768866743,1.1023081120822753,1.1167773239314245,1.5850953462315778,1.4690494748354896,1.2581219942343091,1.4432737019233324,1.0348589341406575,1.231628091914632,1.1818393044780957,1.1353040246344253,1.2646775320424928,1.1963845962305322,1.307597087439092,1.135342810529527,1.0712657293059034,1.1201153323340856,1.1460011543067359,1.0025771367721326,1.0001502686915207,1.0719107673961423,0.9308945425262506,0.8953201276059917,0.9329247631810573,0.9779428871992304,0.8510472924922196,0.8430816301220102,0.8504223697003372,0.8596880142608512,0.9073941044255247,0.9394915070232208,0.8551018595656703,0.8524164599487805,0.913185510756866,0.9015010721913773,0.8930793270296746,0.8947365421753833,1.0635100462276181,1.1519350732055558,1.0084216366064358,1.0786273694020285,1.346518497242694,1.400061808263827,1.2576611895154968,1.0195654680307993,1.6241212099286566,1.453733350391433,1.2067702815161918,1.1113212013517277,0.9422343532582778,0.9691440608660089,1.1447004729545252,0.9122578719562733,0.9245085968526152,0.8597683730197193,0.8251961277054156,0.8826318077126784,1.0259064264286835,0.951312331675473,0.9707928565815075,1.0062893798005366,0.9602231738799237,1.314477963777015,1.1328335784725239,0.9509988038801754,0.9896123193014438,1.3574827143325086,0.758414708703876,0.8277580898974781,0.8441462277563617,1.9696202946491406,1.7380843018003822,2.4738406937966304],[0.8374146722915491,0.8989761268888188,1.0568174985837409,0.9678503135313379,1.0744233096201807,1.0150269837160875,1.0341154943862625,1.0808966747139115,1.0422452949565544,1.0311150237408382,1.0064017013054907,1.0394791549513218,1.092082291765303,0.9906567189142291,1.016347345035926,1.0495629229453582,1.0112235213434526,1.0294361563429466,0.9999254661580039,1.0398284273379932,1.1012257164922068,1.334331959417742,1.1265933360195395,1.2246757931028982,1.1519452814081295,1.0157245383584657,1.075772418236135,1.091057466289066,1.0991683866147532,1.0949323674843032,1.0514901674044823,1.0741374487905986,1.0679364192844645,1.0563687014243806,1.0821918669502701,1.0917915496952058,1.1661416198076944,1.2462716346596427,1.155714857255418,1.3585661880561792,1.1588539566443548,1.1467131001664896,1.1237384428083885,1.2460270931285797,1.4992596959781455,1.8449833748420308,2.37493724329261,1.5507802124268184,1.7020351881235372,2.026133314737663,1.761787401920739,1.8169112626665216,1.4988142188090796,1.120973802694463,1.232236512072186,1.3481418460993813,1.298270825297183,1.1240278190432953,1.1840989064481844,1.7714169660422334,1.386576392655838,1.2461466214860906,1.203974349361231,1.2270277181019271,1.2520019362994166,1.1960725031888335,1.2463744024291048,1.0285797833187287,0.9922592955191011,1.0472026213772463,1.0598883298802524,1.3303655500079021,0.9888035882651244,1.0940856607880383,1.0315105300688499,1.2600585100922688,1.0432460695996726,1.071609397008991,1.1884783253353253,1.3532752782368285,1.214374515987435,1.4061269673948051,1.2416548649200425,1.1776824758121158,1.1402848238236643,1.1434989983162243,1.1905542036243175,1.1781764402700248,1.1212334219297369,1.1136038523371494,1.0815742589059851,1.386219387980956,1.188188746356419,1.053080743818688,1.0405806053690545,1.091484560190106,1.178429985505419,1.0476804478996309,1.034874916662687,1.0254112219491616,1.0964824600661982,1.1917728287652563,1.2400034472096806,1.2476046684295194,1.3023748519695573,1.3476757573597298,1.397915727865547,1.3550078630526168,1.301432377641775,1.3462216419268336,1.2145636627092635,1.1899072324639524,1.1000515909807977,1.1073497542110449,1.1173275868441763,1.0963426176298077,1.0410020649207843,1.0438157398537398,1.0072991036702479,1.006512885896425,0.9914828967286222,1.0081111070760107,1.0246581414164566,1.080453437199165,1.0857622308773585,1.1055667550644215,1.2668390555204392,1.2177305258712612,1.2966543890223527,1.2566925919880745,1.3176606185256245,1.3382328084892767,1.3468168054398542,1.2810204951606348,1.289268730500372,1.200483641113452,1.2297962882479894,1.170623432305679,1.133474354657796,1.1712148846873216,1.1630376049503048,1.252108374212475,1.1637806667412272,1.1667031500510976,1.1971241013112577,1.1515301556079802,1.1492410703843912,1.1559775988004237,1.1905871731113364,1.1719838594488663,1.125164020164999,1.2208014136784644,1.249221847043956,1.5855450409265144,1.3244489937257735,1.0788357159657331,1.068262396551983,1.1651601415211932,1.1735361567116183,1.1912311432497735,1.232191959815868,1.1949022700019551,1.2131702148423034,1.2418701173562006,1.5075294287208298,1.4887042863109345,1.4243424174305592,1.5897339746705046,1.4885218945799406,1.3526605533280958,1.3053323085854505,1.240861612033981,1.28055026271739,1.2569262409243702,1.2073816226046068,1.200864342424635,1.1671852760041288,1.1836889639742263,1.1827420379606726,1.2452747033343154,1.6357932300526132,1.314102534502725,1.3974542377001777,1.3631571565231744,1.3655346644141313,1.4417626771879548,1.6136846372612559,2.120283632241513,2.3575677455469837,1.9871949928465173,2.1095661840695192,1.9773790522502452,1.7000757459553182,1.6932292163422298,1.7803854859885315,1.6448183273561274,1.4534494443141177,1.415574122753923,1.2792712202387413,1.409327641676589,1.278711380172655,1.2746072985992871,1.2479545793664328,1.1505539891291832,1.1562333623383905,1.1641683498429007,1.09364966050587,1.085805880882392,1.1102714151910398,1.0962534860594249,1.108915430800978,1.1095592920437936,1.078841770731418,1.1287039210099823,1.249667924470951,1.30051767946587,1.3066047138662218,1.2042553749228027,1.1091305157033895,1.116689459940477,1.1759154808212455,1.5027005614271598,1.5396506261339344,1.754453857800337,1.3521614796082078,1.2580297705549048,1.3036559533561274,1.2899327810870354,1.2536116547219471,1.2367236893340883,1.3272566708613498,1.3914321208416114,1.2649118212444659,1.2940608908852986,1.6877683950254085,1.5544929373352534,1.4009219028380062,1.5709175557539286,1.2427400082949467,1.4045395302599453,1.3803212869281964,1.3659196433207796,1.483633431606118,1.4228191529561842,1.506264072444606,1.3629119022602212,1.3187810572555567,1.3618290876560417,1.381280738025607,1.2611384269810377,1.2672221142593274,1.3201986740026652,1.1862013193614687,1.1647255556012546,1.1832426511609115,1.182112812502852,1.0878437346802032,1.0922220133709744,1.1096911471960773,1.1196540106992048,1.1792337112918274,1.2243097213227492,1.1069361800131572,1.1165561623510596,1.1749690379074318,1.1387254420402675,1.1220101896072212,1.1439296683869784,1.277095016630458,1.316169585605927,1.2234729477576076,1.274932912937018,1.4731037176630761,1.5339501414361654,1.4152561780223256,1.2174138223642397,1.7011648974832907,1.564188050623578,1.3170260808126815,1.2717645294675823,1.1723366856193067,1.1919321223757857,1.3579740146953938,1.1489783953817245,1.1455782669809629,1.1331621873638102,1.079012020119874,1.1166964182548356,1.2461628339535282,1.1795877372365682,1.2017477559479632,1.242193552646137,1.210331607527273,1.5001267980379114,1.3372832780582857,1.1936374129562037,1.229069008278703,1.5286514626318117,1.0096090285551074,1.0651310561873788,1.1629948312992973,2.2565141526729584,2.0923224853121885,2.7539220224438323],[0.6581793744017099,0.7025964940507317,0.8744455657252838,0.7210985230903212,0.8890677659188008,0.8208752520820288,0.8334326833343234,0.8849739578638885,0.8565605918200566,0.8319446502787063,0.8057674890591277,0.8477903686417371,0.8950072958174464,0.8024407103008128,0.8601243944986502,0.8754432398245664,0.8282969294230366,0.8770118347173725,0.9019321511856759,0.9097858107093786,0.9833968323964604,1.2293369007860697,1.079785327539669,1.1687782748803066,1.0643476667400749,0.9076066389567882,0.9061507758100337,0.9332313863852268,0.9380427816498496,0.9145502177491678,0.8998049792354791,0.8970293001396353,0.9058033123171366,0.9127223350689436,0.9288667220983303,0.9367774676057746,0.9939965875247091,1.1123640944294984,1.0075896218156235,1.2302446074525415,1.0236648408382891,1.0261250485980626,1.031886560334926,1.1840346440845049,1.4964595899013589,1.8680799538769781,2.435212330385958,1.543092597185086,1.635165065574447,2.0174001257398517,1.7631131058306386,1.827144239669834,1.5079491602194732,1.079513343472546,1.2251010177876713,1.3415366731925684,1.288971279368035,1.0792260081172265,1.160516896499261,1.7209115044260568,1.3158382420640788,1.1703436198694506,1.0991272837178883,1.15342844750493,1.1569607838361358,1.0691964790235693,1.1211481563626942,0.9179373960794692,0.9175446493700773,0.949243878656656,0.9943819695152171,1.2627113419917342,0.9148098259679347,1.0383313227441187,0.932841722786254,1.1866184342016044,0.9500527535212548,0.9626260811465494,1.0701489080590258,1.2475407745977365,1.055820598851618,1.2691659850026806,1.0634088547094875,1.1126600736205503,1.0341507232695162,0.9862268043618895,1.0307441720326334,1.0175133729469268,0.9795575904072674,0.9807178129347798,0.9529024738885847,1.2760189251476566,1.0659757022342857,0.9169434109889345,0.8957262602227948,0.9619848495739693,1.0180856580210225,0.8809358278692415,0.8500918740461252,0.8276256358630275,0.9138683979241133,0.9852740415660902,1.0345157824247029,1.059395098662981,1.1107884863969388,1.1850748078833062,1.2397189878195556,1.2043967102966844,1.142614867163115,1.1593308752339002,1.0534787152123444,1.0047087696696446,0.8879872887027637,0.8807626889254813,0.9030179182579127,0.8736426785594629,0.8564028944091198,0.8706184445297511,0.9176917602885967,0.8701554965617407,0.8386165778824456,0.8120489729020364,0.8056890677865997,0.8564014607114078,0.8680723184526806,0.8806734342190098,1.0986961138151554,1.023562843337708,1.1269913332279735,1.0707892990736807,1.1703789211025317,1.1914553973090551,1.1644173424620798,1.0861706586176172,1.0870005552452162,0.988324521189732,1.0578261308848371,0.9417535368641342,0.8762442185779451,0.9346788090716991,0.9311551949772291,1.130749057636308,1.0009840952906468,0.9756563009408961,1.0153177415910097,0.9724156445659397,0.9553262782018432,0.9540060775321045,0.9780277333755186,0.9534974968170608,0.9119513741653149,1.0048545010880074,1.0136721213348212,1.389936215853809,1.131024240534014,0.8663204493703631,0.8665291028393197,0.944942779436194,0.9644370487668761,0.9780330446047679,1.0274566174467505,0.994198958454472,1.0083465072051525,1.0684284835036235,1.3474250946170898,1.2913743358967535,1.2528829604429503,1.4510593113057806,1.3220398090690768,1.122754888308983,1.091088076738382,1.0183144056958036,1.0688161468122686,1.0518306088921021,1.0134507169261333,1.0069272651385144,0.9634695538141665,0.9845004307265769,1.0022451543894155,1.052048946816915,1.4646901400050736,1.1185730564651137,1.2067265016079334,1.1951550050425754,1.193334808681244,1.295635490896623,1.4589506384090312,2.114439872515347,2.246267597812762,1.9168076558436977,2.081936580728755,1.823109990911525,1.5623327130625073,1.5165713347207013,1.6714014304994502,1.551102851026265,1.3457362067551246,1.332547057480373,1.1735405014022087,1.2992689404014377,1.1525500662109747,1.135441183363308,1.1086060371519644,1.01211120604721,1.0090697515488785,1.0076732399975756,0.934372190391552,0.9387288985309763,0.9496010800834914,0.9412535281260864,0.9763982508551652,0.9911875749749207,0.9339720373928795,0.9981062869916182,1.1577920807223807,1.206779103970166,1.193172914602511,1.119810629557634,0.9890489267883827,0.9828121030290867,1.0864983938883601,1.4252307479627757,1.4520985205644854,1.577506867796767,1.2170720337241778,1.1437412759276702,1.1762702727999765,1.1713819983843163,1.163290069695017,1.1404899145103509,1.2137508627958118,1.3073679300163494,1.1763329590034484,1.1976563135193472,1.6378647374305975,1.5194803863425297,1.3257679803174376,1.457427402102239,1.1311373109790739,1.3116775357377428,1.2554363627365626,1.2209400823618577,1.33508918869545,1.2801780155779716,1.3771377395346747,1.2077832433995666,1.1521647258605765,1.1892014024734785,1.2213341944468419,1.0913236344454753,1.07995172335229,1.1435949524979072,1.0205460886006787,0.99233655565292,1.0225084084549978,1.0544972168455797,0.9455424221368511,0.947146971541647,0.9619924252808691,0.9682761987000119,1.0190225871409118,1.0646347630213089,0.9647974401546372,0.9652950649556941,1.0307712540601257,1.011824114077252,0.9936277182910896,1.00776159802058,1.1601469025688878,1.2368435788852197,1.0994762145405514,1.162916655429521,1.4342514225342993,1.4889094307129493,1.3352317254124273,1.1057768447441745,1.6699295819048492,1.4728647918433693,1.2552995382892378,1.1870471839089212,1.0492293705231721,1.066963250090142,1.2521472018533175,1.0406364401539108,1.0239314070443455,0.9689400951185845,0.9493336610287527,0.9896028673287235,1.1230856955196955,1.0300824686963141,1.0584137281043347,1.0725845818273718,1.020659753932924,1.3089194956708317,1.2029802588318776,1.0369480344392557,1.049014273009441,1.3934523504576022,0.8205944056420944,0.8996017431005048,0.9316496755792858,1.9059490383114805,1.7131180693880905,2.531744491924841],[0.5785612982661695,0.6134516619357886,0.804696581149321,0.6281712793113018,0.8277142326914889,0.7538400315120245,0.7838405095090841,0.8441218733392624,0.8225637946442863,0.8259497835610348,0.8109976596695334,0.849385503189224,0.9147372791406668,0.8256997835265754,0.8893337846876268,0.9150653118303936,0.8741310117299458,0.9476372761263004,0.9810428397600666,1.0098095722767477,1.107690403240776,1.3858735145791563,1.1780360152805922,1.279911842713669,1.1256194331978548,1.0060532419035064,1.009099270705591,1.0156932761795863,1.0109167382355577,0.9715658993933669,0.9599379954891238,0.9464713659283932,0.9555261286848036,0.981748193039137,1.0029930208663473,1.0185118791090475,1.0664845146084379,1.2074972030926032,1.1068917376495528,1.3620923153765105,1.130600527620244,1.1528873475807566,1.164992529159827,1.2943175010563335,1.618560547630542,1.9112392245589827,2.4812898706608837,1.6276076096584065,1.7216857407081314,2.0415241446896544,1.865658236192365,1.8988966581726638,1.6063232994766095,1.1469710242016011,1.2905580705139876,1.4639637269708488,1.3978673045933276,1.1745247167827375,1.273784206475259,1.8614352000989651,1.464293953461748,1.3051494468612812,1.2383649363857054,1.3220562985004696,1.3206843071887393,1.2126253201765687,1.2608187340293666,1.0187761762562564,0.9835103464389299,0.9961313633178318,1.0369840287552727,1.3443266309033377,0.965717998211004,1.0884815974843889,1.0104309184629943,1.2656660327403462,1.0428026281164822,1.060177101155042,1.1809597190527379,1.385387801756865,1.1736361532378115,1.3813334664792989,1.14086483214372,1.1916789972099329,1.119639651016431,1.0777250427594056,1.139715136100789,1.0993281038747846,1.0837221823132661,1.0687615927831564,1.0364870910701118,1.355523150181368,1.1306769528874956,0.9690145619934798,0.9357807339750699,0.9889332891481696,1.0378442617234835,0.9130584555019724,0.8670318339770152,0.8262055651129945,0.9371832733948698,0.9861126871528698,1.0736390953252415,1.0757221911325285,1.1499323879329348,1.198911212911136,1.251172792239249,1.2148565668554592,1.1210115218616297,1.13626670516652,1.0223064964598672,0.9929198637791268,0.865998621424529,0.8774505829810973,0.9219783119017135,0.9055637053204214,0.9105519174360138,0.9388010693994873,0.9833432182508303,0.9316288622359465,0.8872513480937012,0.8591764776535361,0.8420939107199291,0.8632562858405383,0.8513533873484481,0.8580305175360138,1.0496237451585515,0.9940166933827815,1.1048493380465325,1.080602026370977,1.1743101738367623,1.2173128587032316,1.2053585628351733,1.129087607212266,1.1220429196847839,1.0042415298710277,1.0426530284739735,0.9400077640368398,0.8788745314170678,0.9757269084195381,1.0089561876923343,1.2365592912357095,1.1093957124368186,1.059027258372696,1.1175969063437532,1.0471722250210511,1.0105518063632468,0.9877883787506262,0.9941871306161688,0.9481745765023958,0.894409536806649,0.9793195087435748,0.9898017313927534,1.389503470842783,1.1300944668499868,0.8561708633287397,0.8617569306769035,0.9453940128247564,0.9855691194410123,0.9968455107026155,1.0637244246455189,1.0618499278788351,1.0847512836693354,1.1665226664832182,1.4558359978548046,1.3719236963953154,1.340512179064667,1.543577088223828,1.3699093261580992,1.1535170397711991,1.1280919591170433,1.0611681548034426,1.1374402769298153,1.1244843048328788,1.0859415433369775,1.0646563171120045,1.0198370937796077,1.0469786150452074,1.0816315468082771,1.126212187796896,1.543691102156952,1.1695350183013256,1.2795831848560866,1.2873592212591591,1.2876118265040428,1.4289426478385967,1.5921390986940098,2.33559726650129,2.4136136176248497,2.0874644325278187,2.242842000160238,1.931184045988191,1.6672566269569,1.5774982871446432,1.7508156784784636,1.6184092472506468,1.3674413861302317,1.355789184776659,1.1644346824988905,1.2796993521309616,1.1190677111817928,1.0880520606665633,1.0581102719307982,0.9450984930301175,0.9343792816682254,0.9274175327196709,0.8439437935341786,0.8502756311637265,0.8555592156660077,0.8514627541887609,0.8879930073791188,0.9082865769091085,0.8522139266147322,0.9155756684779884,1.0883134392261127,1.1270817354458131,1.122794267012216,1.0657274100199388,0.9237177664194082,0.9187629639057754,1.0562776409480614,1.388273863014838,1.4117867094511816,1.4668636232939078,1.1577481867414894,1.1078282246772913,1.141891342072067,1.1693313114929758,1.1600788735244358,1.1249274095746553,1.203118462721479,1.316945569771406,1.182312630716363,1.201097372838443,1.682653090933142,1.5587834161837058,1.325917956827272,1.4586803040723186,1.1228315955508374,1.3282021778165962,1.2557330894007728,1.1883512052202756,1.3100867567856507,1.240067494705696,1.3461828531119586,1.172023624096902,1.0968730309001034,1.1304736177409338,1.1707915127085224,1.0133544777575132,0.9939445390027954,1.060701119706579,0.9328192916039479,0.8969431335754964,0.9306053829569237,0.984410204411171,0.8623500062881229,0.8626592116365918,0.8745940168465468,0.8847615686242094,0.9306289383168571,0.9874569255787636,0.8923891566505283,0.87731532558289,0.9630952648189468,0.9542146901497506,0.9377568191584326,0.9483896740752527,1.1184055379916362,1.2071253773175585,1.032316375320799,1.1109729794841243,1.415505385823019,1.4329897765074435,1.2761835405367958,1.033673241370076,1.642195087711543,1.4092171429210678,1.2001776319177766,1.1087577773871802,0.9586955539106338,0.9801309707007658,1.1521949218744905,0.9398730053395833,0.929319422202966,0.8741357939519716,0.8818681653352668,0.9301435839619385,1.0873856951281582,0.9810575868168088,0.994052944285558,1.0178789232972727,0.9459999170309522,1.2509469974018055,1.146230095417844,0.9524289697213931,0.9651721721237754,1.343613592993888,0.747531674479276,0.827464376080157,0.8174712402943363,1.7656290013702514,1.6106723418255844,2.5349505565317405],[0.5465515341367969,0.5698832725544496,0.7590477100697881,0.5736433950797819,0.723604026689524,0.6617896777703043,0.6688621393465178,0.7157655822474959,0.7006666950083414,0.6869298614469259,0.6728358585565525,0.721496384813734,0.7586510245478573,0.6928400145910328,0.7637303952980873,0.7596180053042019,0.7128348039077105,0.784332507298755,0.8368594748436852,0.8327752767926955,0.9302719917625333,1.1576940118290184,1.0727268719378131,1.1598624448595483,1.059012694629586,0.8639819547427247,0.8139609620239286,0.8243771462521332,0.8234746069896335,0.7778489940040686,0.7988546710012513,0.7659805315364179,0.7843230801557287,0.7984068570874002,0.8081219961571743,0.8231572873854464,0.8642711612365577,0.9961149554825312,0.8927257052443398,1.1216618903740052,0.9493760882399309,0.9374820689824069,0.9818725552187693,1.164181906905479,1.4742888144173685,1.8580530284041892,2.4314488608323006,1.5340140245793332,1.6139690423303332,2.0306289498614505,1.7776175151036755,1.8509875969616936,1.5204063166813622,1.0703486613591147,1.2601984607254604,1.3410056527071104,1.2855687644045608,1.0671981396285122,1.1413444921043794,1.6523925780726068,1.2539369745728837,1.101098229146494,1.0241783229105914,1.1059946995909888,1.099136910729675,0.9873002864113933,1.0744828917713882,0.8409878378509436,0.8498737448594995,0.8850160842138383,0.9446326194308832,1.2344331459255296,0.8623668844690127,0.9800894773702596,0.8557460108769136,1.1086753990944507,0.8637691478929983,0.8710817776758543,0.9715698954649374,1.1530592803028785,0.938561842061928,1.1594130886155696,0.9539184512370089,1.0862603848421342,0.9715959764392114,0.8631850718429469,0.9123904247309133,0.9146193133387817,0.8757107621326309,0.8722726410195984,0.8546877110395342,1.2001783555652192,0.9919275718385362,0.8175162476009402,0.7917740891745955,0.8598770855631092,0.9200904609967683,0.7657532716972284,0.7136091669974175,0.6795652039464541,0.7573539701579639,0.8194094287517519,0.8712969754421885,0.8732244110312273,0.9360608020073272,0.9979027071188167,1.0543985403631606,1.0303146732831263,0.9563603948888252,0.9656277346292518,0.8751524321103509,0.8188208314582966,0.7080223095923707,0.6971460261675082,0.7507813501961732,0.733639021687069,0.7556956561371135,0.773881322477804,0.8648410091720592,0.7918250920852976,0.77521011303148,0.7359557578285254,0.7116998545760697,0.7294102291334632,0.7224366282150101,0.6955822906653155,0.914260149487425,0.8178484130200808,0.9250373254189663,0.8730260761282693,0.9968353102032587,1.0311895925226628,0.9908457199768446,0.9057100336700872,0.8998420100904279,0.7919148743513628,0.8683209323260684,0.7513243485644425,0.6923783273895044,0.7712130823052397,0.8143543430203737,1.0578475639646407,0.8995746787137985,0.8445060627292361,0.8859429486305278,0.8367681038924518,0.8085287200325615,0.7967238218632758,0.7991108841484027,0.7850220563719319,0.7353477896532508,0.8265327945308644,0.8545166012572731,1.292013468457438,1.0628061481026514,0.7053807050017443,0.7074515697377041,0.7739211637953577,0.803967641748811,0.8158889599620712,0.8503598883153982,0.8331167681594959,0.8531028559728334,0.9355611277274989,1.2023408760816363,1.1470801484008077,1.103512300215607,1.3141640998477555,1.1721284915596353,0.9431874063770188,0.9160098201474649,0.840599457796654,0.8942686789102308,0.8858555302340672,0.8602500854872909,0.8506416327880235,0.8178960750364741,0.8497215894918799,0.8701398768924847,0.9024418103958303,1.3027591351614276,0.9429027796172769,1.0494585323361418,1.070080606000444,1.0525196227843119,1.180900747247152,1.3257101428421934,2.0453605923344855,2.142378122864685,1.827122839749336,2.0073109286492232,1.6684508340896151,1.4392431074107972,1.358038935711046,1.527465213630926,1.4880393182593665,1.220310754474799,1.2210260348995297,1.0402851475737718,1.1432659282355044,0.9843178877124916,0.9415545537206564,0.9200750829285019,0.8260551898421447,0.8134504846011582,0.8116877320232264,0.752188771086285,0.7691469968376157,0.761979246927683,0.784378732938015,0.8404825102225427,0.8691706549763994,0.8093916950608142,0.8894595237087095,1.0872412537844693,1.1066745908122042,1.109486033341098,1.0558370692524528,0.8954580395686249,0.892996204834332,1.027414185645604,1.3647818386687869,1.3630683855617833,1.353881553706716,1.049877269052286,0.9841810616507901,1.000328496190038,1.0404809898947882,1.059453214088037,1.0143916150150363,1.0616496948497616,1.1965932968493413,1.078684365485063,1.0741184168333215,1.568761284546715,1.4667271556498003,1.2145828625963162,1.3612045449588226,0.998287044986592,1.202236206569697,1.1057656512304253,1.0318726363754216,1.144036836471413,1.0820564236356605,1.1736673583706136,1.0184215153829097,0.9742103589104765,0.984419406777569,1.0400336589871075,0.87723047036919,0.8599986342777879,0.9366392794522902,0.8236206087242756,0.7931114445792745,0.8357257152227717,0.9197077794292946,0.8149368552757761,0.814064969667313,0.8155913712404674,0.8051093925552856,0.8122743582765398,0.8744282058343055,0.8258611742779842,0.7876659383291583,0.853714663040904,0.8728577174856224,0.8815904242517304,0.8509599160595238,1.0265036392059022,1.1536058398078393,0.9580501999819425,1.0073259576416977,1.3293041712244547,1.376179286813163,1.2259509871942758,0.9905029715195971,1.6300381993298798,1.4021784665372319,1.2005655501305366,1.0960243422609488,0.9151178291994734,0.9397419207257625,1.126052567381213,0.889372228382552,0.8846788982309939,0.7769880954424102,0.7826655205310398,0.8247354781473054,0.962174824303213,0.8476827931947706,0.8857603848758832,0.888644701725061,0.8098462619423447,1.1137071693085836,1.0364370262480653,0.8432008347695777,0.8412052678507359,1.2452226033956795,0.6841608668908067,0.7818857203940092,0.7261165339259431,1.5606969161749034,1.5328311825693515,2.5822128815073535],[0.5257481373312196,0.5374798013263803,0.7101350858001219,0.5326814300002248,0.655947116281526,0.5708754081915371,0.5746294378579445,0.6180794918955561,0.6434241225796073,0.6312090632520622,0.6300427894014684,0.6644827942550205,0.7031100991999909,0.6670078138980251,0.7506358905491345,0.7312377431269649,0.6974548670210984,0.7854513326654585,0.8545950640111983,0.8457702534308686,0.9757826957596352,1.2125924276781057,1.082057162484124,1.1860327933356025,1.0621058314101737,0.8864356986281787,0.8309476410468802,0.8218779221465251,0.8075986616074675,0.7411336337225883,0.7944171578507594,0.725407543051086,0.7462776327161446,0.7868130062404933,0.7846096815891813,0.8142233817914072,0.8253794169370908,0.978175413117363,0.8760337462377074,1.0999215667396227,0.9547034663297177,0.9566646917797258,0.9940078263280921,1.1710494389201407,1.5005573586677738,1.8685013621713822,2.4462715497637832,1.5429699314912688,1.6189281794846566,2.0334296288281988,1.7754243768542768,1.8497193675882666,1.5091818432625128,1.0578715759386725,1.2348722583505312,1.334103907244862,1.2854320570587952,1.04626621184531,1.1352873465212827,1.6915315884204445,1.2921218640545478,1.1388531952589525,1.0523211684206455,1.1583299576971442,1.1576438055632097,1.0256474358875467,1.1410916956146098,0.8690673673839762,0.8879394653663918,0.9141857057938589,0.9793212010453358,1.270336045506182,0.9138494084096225,1.0172358320773185,0.8899463470162725,1.1573584163959094,0.8870922919174304,0.889724131059532,0.9797189544501218,1.1559155347133665,0.9240938782461168,1.142796425093421,0.923820825954238,1.049257470120474,0.9520812909579432,0.8275815055696443,0.9000245268284637,0.8808975895585945,0.8734164463484516,0.8602737070645959,0.8634564220505879,1.24095835247414,1.0160628843586779,0.819094042785626,0.7764418503482249,0.860945194693242,0.8957498847362007,0.719551121769335,0.6558207805648407,0.6375834263842599,0.6946127741732826,0.7378281155436173,0.7933997981584969,0.7754330472746033,0.8475929358957327,0.8991153019954896,0.9391329435574052,0.9300009415892613,0.8391445918361962,0.8555292502725529,0.7608160877274531,0.7195434400063407,0.6231893007058995,0.6304455631043363,0.7036480691676055,0.7041215302000493,0.7484362855375636,0.7842690738641237,0.8833455328313291,0.7994430902994069,0.7801406530363469,0.7400114774319482,0.7109712023998207,0.6871421566156186,0.6547915723676644,0.6096821672809557,0.7980745916104445,0.7167823946980525,0.8078128314906087,0.7724166584697859,0.8968634265894392,0.9373433435702806,0.9110310124654589,0.8200395494739268,0.8173485884379522,0.7347699280380044,0.7807338530026716,0.7054131832809933,0.655015103746174,0.732434777654361,0.8100092310610356,1.0666307240149957,0.9053442132134725,0.8294213255821042,0.8718706961265643,0.8061150538170608,0.7690589322971877,0.745973824639147,0.7193670858383912,0.7011324128700708,0.6308888893323078,0.7324706967095931,0.7894297462279154,1.2965656795376257,1.0965342619136538,0.6240593947444922,0.6307463469718898,0.6804243504593601,0.7281762924771735,0.7321654117395071,0.7780089226317676,0.7884730003723461,0.8123590251949682,0.8959520569234117,1.1453287269186807,1.1243745445894706,1.0564035331313644,1.2780957621139177,1.1244654049020688,0.9029229965084217,0.8568370112564071,0.7935668958653461,0.8360162306718888,0.8254312405341308,0.8050383631995791,0.78209176514486,0.7651976734332032,0.8002706299341791,0.8189591951980424,0.8328682427932552,1.2450937819258525,0.8578550842889315,0.9721244666784588,1.0195572509563748,0.9990242179421643,1.1435466728921246,1.3018883260999943,2.0049648585665034,2.1531013800056336,1.8130078550900453,1.9880483756378735,1.6384212241898022,1.4052087341462483,1.3105975797383025,1.4477557719528964,1.447923125414254,1.1489540619066518,1.1454580252895616,0.953971777692387,1.0311535384035666,0.8732055168665377,0.8090206200620809,0.7959233475153562,0.7213041343138932,0.7038320004762063,0.7031822336822426,0.6605384357520642,0.6999701707164746,0.66654540225675,0.6981052500179443,0.7688584715716632,0.8116841887294646,0.7462036464642625,0.8198817001155163,1.0501848235927986,1.0549373262745299,1.1011813756658175,1.0517129774038931,0.8817636960198333,0.8924545737266425,1.0397864882359236,1.346923680380445,1.324228836615075,1.2192258099450968,0.9670901770248569,0.8967441888991421,0.899241937301968,0.964558846052228,1.007974827790455,0.9308437702028706,0.9820956049244252,1.149536378777251,1.0514866586039613,1.0064727084742606,1.4948037661863272,1.4388381261547254,1.163355783971859,1.308399177222906,0.9246283139901924,1.1154086196601969,1.0114969605564175,0.9165815758906355,1.020962419383384,0.9603155797033274,1.0356034835111603,0.8914226132875694,0.8439578635862315,0.8422995934687647,0.9069599853042511,0.7488456131418494,0.7365586852228452,0.8093316812896063,0.7108510678046839,0.696704335573802,0.7437665174977838,0.8615120078224544,0.7674906006558396,0.7795960802576772,0.7584296769162194,0.7386447346131527,0.6972757867482522,0.7747413356220421,0.7907499064262575,0.708127745976147,0.7623506118926574,0.8193018419488063,0.8499846378926007,0.7718436105197358,0.9754339781511085,1.1188940450624612,0.8982819035314218,0.9513694935029141,1.2843263692996432,1.3265187808978187,1.1847347566480888,0.9547469641945723,1.6338615302031805,1.4040028862553857,1.2001668684704472,1.0581620336439355,0.8392617176886684,0.8704910826778524,1.0353929640266466,0.7837141720953378,0.8137699125022233,0.6889186604237165,0.7057380682199407,0.7499505336421675,0.8549341350350892,0.7289885106738054,0.7881717408241268,0.7726828737292999,0.6952193293241219,1.0161799912531084,0.941063082290972,0.7330566418490269,0.729405618805624,1.1508423743002671,0.6013925636735599,0.7497302747095584,0.680038097008768,1.4296412530844536,1.5362044909645474,2.7319149940634344],[0.5716616003309084,0.5731167065536931,0.7036006088126016,0.5535229406296626,0.6222220354398514,0.5320878927274068,0.5071964288248855,0.5472083378763694,0.600417962442695,0.577071327673114,0.5821829174564719,0.6171517566242964,0.6262961647296256,0.6209683915184829,0.7093478950403109,0.6623026548178189,0.6402702127790842,0.7234020618160201,0.807288230845054,0.7714932815970548,0.9147971582235043,1.116457113311356,1.0045960380986394,1.112611869305197,1.0268236934590678,0.8280549652383792,0.7500370656324816,0.7329376120305084,0.719417582772309,0.650576655289833,0.7389569936971041,0.6332878845311986,0.6629781462683524,0.6994141012962228,0.6841848562234558,0.7161786520455913,0.7198705555659501,0.8642494303425367,0.7574170955566706,0.9505758466269727,0.8634452294567296,0.8491308622506221,0.8818221489383496,1.0784638744727648,1.3991042517489973,1.8295883734552747,2.3757265196849953,1.4416093404715251,1.5364251303838743,1.9832885532349422,1.6614790452418429,1.7551532458176042,1.397681350601466,1.0046893556939789,1.16202648593735,1.190405469633075,1.164358399207834,0.9533914411493969,1.0173242006595709,1.586246477449368,1.1871321333758955,1.0383493097708738,0.9483150290382915,1.0503338747853315,1.0603102178870774,0.9378688804159032,1.0897144070236855,0.8024770722294174,0.870584366014771,0.8957716563048108,0.9785631804829691,1.2527414461846347,0.9181296751465626,1.0037760979035342,0.8359322472363404,1.101879719449331,0.808014249584637,0.8031913202393706,0.8718182843612574,1.0303599998168762,0.8012834495666585,1.0076063150694883,0.8240912771545612,0.922919287947809,0.8505678546162002,0.7023093802073743,0.782894667331746,0.7744048262551532,0.7685125757683354,0.7579923746786017,0.7901255977788351,1.1927933765862473,0.9737518610309375,0.763658328579482,0.7173393108720092,0.8254204332193564,0.8537786166739896,0.6575793372196473,0.5869856526632042,0.6141267802905337,0.6093864185981025,0.6558517635479073,0.6676261048667704,0.6453245233383682,0.7164264659870438,0.7668975332943603,0.8106098445821726,0.8159945061298794,0.7262564416167354,0.7753846279271708,0.6623547697459969,0.6026298254339844,0.5463485693135594,0.5431818567841918,0.6282821045284157,0.6291313744233753,0.6765483678011495,0.7221939308816864,0.8321536403598994,0.7445277169015516,0.7385191899771308,0.6954161719927124,0.6650712827034515,0.6226425470068615,0.5872612880589758,0.524236617839547,0.7043360962899132,0.6115503597653411,0.6919786402305664,0.6536898522312076,0.7842973687205765,0.8203752041560918,0.7918035354970144,0.6879956503948562,0.6881998677474518,0.6425612589658877,0.6828750709242051,0.6238706041856874,0.5736226551952169,0.6410476607072323,0.7346023323757451,0.979889647628944,0.8044861508441551,0.725023758647262,0.7500643059374218,0.6918936759621379,0.6591857732087884,0.6419167565695102,0.6101944128506526,0.6046395753109108,0.535723507776555,0.651832002557837,0.7439339199072788,1.3143698009439966,1.1495538636993263,0.559808209370984,0.5653106516583046,0.5797977330793554,0.6198038331901415,0.6247799087488942,0.6587725663085814,0.6736926929147543,0.6971072907054113,0.7650710628640208,0.9843646790770499,1.014313991791568,0.9262004415178526,1.1648314638448327,1.0299406243006428,0.8271554137430294,0.7484846081506185,0.6813319957535247,0.6961396032663862,0.6816441402192234,0.6655939657706086,0.6479844892273162,0.6513916172987996,0.6742377726900053,0.6798598187973702,0.6868405390341581,1.1082868189266522,0.7159299814950033,0.8185439024786512,0.8858117649833225,0.8570946935072611,0.9850241601550732,1.1499222198576555,1.7737059824509451,2.0118464318297433,1.6382697990682187,1.812923842561097,1.4881410031429385,1.266051852849334,1.1827360058648102,1.281728071319683,1.3485121624529484,1.0597639756197674,1.0357179183195673,0.8674344792473316,0.9358308286939179,0.7911420950214406,0.717191186783899,0.7122567197624411,0.6836219496597176,0.6751290586472762,0.6652503580387666,0.6483348042070934,0.7081901274322105,0.6681712720324956,0.7021588815831693,0.7829971230059403,0.8326644762775032,0.77095964155924,0.8396551429159999,1.0715216201765876,1.060842066527932,1.1244625024008936,1.0733736448982798,0.9195853600489934,0.9352277967948553,1.0769027242269884,1.3457924699217365,1.312497116687672,1.200625077806403,0.947858885833432,0.8546949569311502,0.835341170687215,0.8954130680329846,0.9714302278586561,0.8671207563926169,0.9242965519069923,1.1185655619371908,1.0474681652783255,0.9529228479493553,1.3718326514401349,1.3968833287569427,1.1269236780234808,1.2921880461398385,0.8567500171671106,1.0084537551525996,0.9060674963324736,0.8233766082263757,0.9100169938432664,0.8652509626402001,0.9187218894053504,0.7905286261339259,0.7772327258849645,0.7640040230272105,0.8204464930711048,0.6926600628910845,0.7021105457092524,0.7706134176639517,0.6989445471520049,0.7028768893807943,0.7524980586405122,0.8715982193931553,0.8030449860027211,0.821029432465272,0.7840401210171504,0.7611808554903425,0.677373416003116,0.7516835170314371,0.8192861036219363,0.7184024778335706,0.74557932083703,0.8354707020032218,0.8828460129808808,0.7624314669954623,0.967587470243591,1.1344343971961677,0.9093286540781229,0.9264002325704636,1.2266632982926053,1.3113966547793512,1.1709291702392146,0.9535170357505734,1.5975445334365652,1.4221322679691197,1.2292761611469405,1.0720853698431914,0.8385682213419983,0.8675045841821069,1.0061562714442311,0.7569115700028347,0.8249628886108501,0.6894032493836699,0.6896050869358031,0.7156757451428528,0.7744852267367555,0.6500693482916465,0.7470809687700274,0.6991716274442686,0.6478190841950671,0.9713696059020136,0.8690800877259353,0.7045002363012204,0.6870895711213229,1.0922111031637871,0.5783058135283129,0.7704837360894089,0.745980315027365,1.3776768065235914,1.5332034041721243,2.7806556316183224],[0.674063190640539,0.6496269257644378,0.729964689508172,0.5964954921601384,0.6018826659962194,0.5530519786899254,0.4956682968298806,0.5244213885358094,0.5912941192518435,0.5499672416851127,0.5648129474680673,0.5881955412359147,0.5935173527448486,0.595180584265602,0.6837753811558112,0.635322516313651,0.6199735476905909,0.7035126472987516,0.7989118455805923,0.7566629882795691,0.9080990172557,1.107356489687918,1.027640377882625,1.129110703225703,1.0352715264176808,0.8322650095509339,0.7281917436261945,0.7112280927499541,0.6945610756003975,0.611788835976449,0.7158376839622682,0.5997067264916898,0.6396152185523294,0.6732221201315963,0.6522641722345043,0.6881744852388605,0.6911973549512869,0.8392570697896341,0.7374402540432865,0.9357749982905403,0.8462971614488464,0.8466539505967375,0.8947230534845274,1.1018193450173352,1.411480934087535,1.8323144240454852,2.3991369776707296,1.4706587871433305,1.557145994694815,2.009303395542829,1.7090103165189534,1.805123207014927,1.4336753567177922,1.017645791705954,1.195457013933735,1.2302051446981541,1.2009177520413525,0.9774244614791513,1.0500332859538188,1.6027558564294135,1.200259994153213,1.0510901049108292,0.940798555620463,1.0485741332711345,1.0665272682096893,0.9279532742738337,1.0863639052938807,0.7945587941283039,0.8698773955344273,0.8944524462851,0.9877908977272878,1.2662173387908793,0.9274603142620771,1.0092226993734172,0.8309286010309489,1.1049887059375405,0.800141379787037,0.7915120124186782,0.8546202036076584,1.013160605873313,0.7714507431423415,0.9771255384973057,0.8055820692913218,0.9404556921182453,0.8450266468641036,0.6806064572976214,0.7536103680300714,0.7509215649624964,0.7464652971616574,0.7351549097162291,0.7734472432210517,1.1844548612106132,0.9616111497618898,0.7440256697726859,0.6974320222281825,0.8136863168949334,0.8445365084377517,0.6371616401748631,0.5688187863098096,0.6200486415474813,0.5875372428591338,0.6672416985216738,0.6227794714638754,0.620422078017269,0.7182762046742972,0.764449846383709,0.8232384349356898,0.8499709879162355,0.7621040008085296,0.7793631775914459,0.6923734129554753,0.5947967550424952,0.5245492885825301,0.5066229768935886,0.5829350920618604,0.5897517693280169,0.6577816684708176,0.7012899213234216,0.8314199585037786,0.7299873732662034,0.7279449228510365,0.6726996704173592,0.6409322150050736,0.5899793714988745,0.5567948034840073,0.49288965931654294,0.6994257007787767,0.6016748905484484,0.7072228971150266,0.6701094898939097,0.8104459409481125,0.8633639913190236,0.8122681372616251,0.7011659889021626,0.6936166002555388,0.6211006144422938,0.6891384349545534,0.5994084793347825,0.5374846610097193,0.6066592117940589,0.712451276629107,0.974265698942925,0.784223738676096,0.6964293202537679,0.7249468267297174,0.6646907520469106,0.6283993378077016,0.6051991545360882,0.571330702852097,0.5678014421877153,0.5330487111280208,0.6182959532615434,0.7087835730067716,1.2913895987125898,1.153468367044994,0.5443177904668868,0.5528798834214501,0.5556893779192043,0.5844034783712855,0.6008890492757141,0.6230405711276681,0.6330807434832412,0.6662634054903148,0.7458341890987803,0.9766909822804838,0.9921866321012665,0.9252361117665716,1.166692807998053,1.0378927021509718,0.817186431485982,0.7455491806099038,0.6571948732371643,0.6768411784080225,0.6590414172064901,0.639985533201263,0.6239738746136908,0.6025835811791214,0.6464699907813205,0.6477220051432492,0.6653259497420181,1.0883698589428208,0.7096903333375056,0.8194303933896103,0.9036483315893379,0.8568727868318036,0.9832075455374074,1.1257185299702437,1.8016212786607049,1.9868778148255604,1.6391162965182755,1.820928652551704,1.439616912007499,1.2628426311760523,1.1667536994483165,1.2886386100344585,1.4140969491673068,1.0952724152173823,1.11330665751521,0.959457914575145,0.9821598166649463,0.8808212118669412,0.7782632984980092,0.761840305146475,0.7629289630836493,0.7570204365600773,0.7242985774805452,0.7186259232649534,0.787287451520948,0.751179535972973,0.7827359889865163,0.8554787459107225,0.9183113198612596,0.8620512946620408,0.9197623030923335,1.1503533037042737,1.1240105710128867,1.2221639616521351,1.1772013123298974,1.0262992822798702,1.0506611384582913,1.1963877525098832,1.4167821933802303,1.4229236500293587,1.2017384239373752,1.0507067580704637,0.9797200494085864,0.9246949536422296,1.0211957708792014,1.1166391314519017,0.9751151838532289,1.015449231379945,1.2139577853464043,1.1469193196966192,1.054562831557353,1.4854198192383166,1.5267779870444744,1.2036775051781146,1.3323375910825337,0.9733094173712247,1.0946046700743342,0.9971114349071161,0.8959214540766817,0.9662357226408695,0.9260461392020649,0.9358652414426015,0.8421663420559758,0.842062888709787,0.8031161054670155,0.8542439614944309,0.7454679771150888,0.7528168271752356,0.80054054845486,0.7514101759005546,0.7779707879907783,0.8353092146325092,0.9701829628487044,0.9037057293633242,0.9425984306630079,0.8978030691863544,0.876241787057256,0.7592604654970448,0.8497235389886947,0.9354432068085803,0.8049724016964727,0.8382285808206094,0.9432640102970863,0.9844630009539955,0.8535741662554173,1.0589281085513593,1.2050235784936039,0.9747615857646672,1.0030553345138302,1.3233734270312156,1.38095298406717,1.243212151579276,1.0242815142638997,1.6954218202041498,1.4652317257387424,1.3049174712727643,1.126351157934623,0.9097387268788104,0.9255218747985147,1.0465636633481115,0.8165234962361215,0.8886014674199181,0.7720297850819554,0.7850468474518975,0.7763354376054153,0.8300678919626314,0.6850363976999406,0.7895885183648864,0.7315503341456093,0.6684317862936486,0.951721550234419,0.8825510400929348,0.7203876316146534,0.6949671473403498,1.0573429702787414,0.6150889134874691,0.847134031241993,0.933088013456436,1.384827431596824,1.813927272294958,3.256057308517415],[0.5400303513957129,0.5417961700116689,0.7092626246835724,0.5112735730353497,0.6094046282761012,0.5301969130943157,0.5015276179192201,0.5302885711977622,0.557103781715152,0.5313874012988504,0.5327001773530176,0.5713714929881879,0.5971730176814141,0.5712848896580833,0.657208276506702,0.6182683158934191,0.5840668057675453,0.6780793650803975,0.7705496512931562,0.7508873565341434,0.8766128355550434,1.0859799201769684,1.07223015273973,1.1507638900138504,1.058000542229261,0.8244892905358299,0.7277104998113729,0.7065072185152639,0.6898766389714038,0.6212547920106067,0.6848673153758286,0.6048647783993621,0.6360831610430583,0.6667041879455938,0.6673932367557407,0.6927643162178798,0.7157788865213657,0.8576673754496759,0.7745340917802519,0.9912111989017359,0.8663670574988537,0.8593848175307132,0.9229415394130008,1.1337481420044293,1.4458953969302077,1.8522035026586954,2.4246733961272198,1.5075331257073026,1.586870891467977,2.0144219001235935,1.7602077229751314,1.855890055519413,1.499937180915392,1.0571862851889706,1.2725493524173355,1.3017159488573804,1.2541298488589125,1.0337091943967216,1.1116247896124263,1.589267128480404,1.2000139654964557,1.050374362198746,0.9392905524483596,1.044435717616171,1.0532652826254487,0.9022041072743694,1.0225073869297057,0.7732728714070801,0.812363362616002,0.8266543130219642,0.9164771500022871,1.2014259626293748,0.8440477801172108,0.9598564975553125,0.7994602565873007,1.065948926189691,0.799027009402242,0.7867776887653675,0.8564962260003688,1.036977223883209,0.8107012475625743,1.030644249385629,0.852749828935861,1.0350414797986793,0.8855362007735254,0.7296973352316135,0.7818279719240454,0.7911788680612463,0.7588802306138919,0.7441751251972882,0.7600704171519505,1.1469182915767437,0.9246669306113249,0.7091238180262187,0.6677326944771429,0.7647566874468801,0.8020045062391868,0.6218534712629314,0.5641933487501622,0.5740255094701014,0.6061002000938679,0.6810227561045697,0.6803606800010812,0.6931877677234216,0.7885546982301656,0.8335293607517562,0.9045611875696411,0.9148417867346339,0.8098157481786293,0.8079409536162556,0.7256972041327092,0.6475988491512847,0.5410385094113133,0.5171508481182789,0.5871892030970901,0.5950316513497607,0.646558522111917,0.6766644621599038,0.805915235315914,0.6947124516882665,0.6827142024774432,0.6387622211776196,0.6146330814095171,0.5928804516145478,0.5504238277937004,0.5068185189962386,0.746570234500585,0.6471208513590568,0.759890452535624,0.7324447619204808,0.8719241693508564,0.9363570354483878,0.8881183775951181,0.7873714598327033,0.7717067465566272,0.6588501703111848,0.7290249456602526,0.6118234209927601,0.5455004595238091,0.6247064629870099,0.7074246015758298,0.9820184908835348,0.7806669785811606,0.7046381154493643,0.7455846884136661,0.6822709038964491,0.6502567307533474,0.6229470075742518,0.6100325706900364,0.5978350512670745,0.5631410395149866,0.6195262071693065,0.6893460117420486,1.2315991028954687,1.0531942763480198,0.5441720848682413,0.550744420825972,0.5956387848603711,0.6185642612694413,0.652837636984567,0.6821045424229427,0.6761514338397558,0.700045273644068,0.793511963798385,1.0478023227251465,1.0097775220401677,0.983776933993049,1.2028348581568609,1.0695458951306558,0.8335818186048972,0.7981012920343371,0.7112422115527841,0.7495433881929734,0.7341678127199011,0.7152192868492416,0.696707318089273,0.6591162768790858,0.7061236349546288,0.7234986668557554,0.7547556995161452,1.14046765032144,0.7867639728680307,0.9087685957597553,0.9807842831640995,0.9310188929465919,1.055943488117738,1.173276312363247,1.9217623166429263,2.002687793843601,1.6953009715090062,1.8854209833990334,1.491758059874912,1.334774595729424,1.230695935621883,1.3980905730034932,1.48323543912779,1.1473498551795012,1.170902489510562,0.9941142592086278,1.0314938893344507,0.9165022214104528,0.8307704495384532,0.8033446050426029,0.7575886808914433,0.7411315670588107,0.7165555091809557,0.6901296462935207,0.7429839107277119,0.7045833561598763,0.7305322452130426,0.8031216542518245,0.8603014028729925,0.7856924610797411,0.8565621699068925,1.1000915340108146,1.090836595468132,1.147752818551166,1.1194674764905355,0.9512983457296174,0.9707801397005384,1.1306835482984945,1.421509877605797,1.39697660042083,1.1957464511738922,1.0239412738409488,0.9733795362763547,0.9505459343998695,1.049521871433421,1.10217875225379,1.0035097313761303,1.0380279548057296,1.2257471214780418,1.1263519845954837,1.0753310948557306,1.5619487373786938,1.5268080380256461,1.2197760279457304,1.3356843248163137,0.9938173646754132,1.1511974456122764,1.0507961543340603,0.9401938661665089,1.0337389099469998,0.9890159307096483,1.0306994445490592,0.907406392794814,0.8769966154738251,0.8456638154135611,0.8983893786642269,0.7542813699111313,0.7351164315460391,0.7815698040158141,0.7187303119048876,0.7313594601132325,0.7625631422116463,0.8866321048239716,0.8215868797763639,0.8483406098818096,0.826274059920907,0.8181788965828087,0.7462396055473318,0.8343943836591086,0.8789203681409196,0.7681559755569349,0.8266669130280326,0.9028589237341483,0.9298933743941369,0.8334124770151806,1.0568869612781504,1.1831478207238766,0.9458721521571979,1.0019698817062852,1.3496183890385172,1.3648914144787494,1.2208474562354277,0.9888103972872992,1.6914110200465216,1.4169410173397161,1.2550109591506398,1.0964450845022518,0.874492422886529,0.8960460956319586,1.0588167614983277,0.8109453166525624,0.8426119716430118,0.7133598991944639,0.7522788874071463,0.7731753444992085,0.8711114216709344,0.7191584363721713,0.7857806883268573,0.7550545861450001,0.6738557503268054,0.9308875061471105,0.8953915892159866,0.716886145162094,0.6792841596349221,1.0668906118578836,0.5830117133579249,0.7694040828968839,0.7443965993904872,1.3255377524578886,1.751354617535885,3.1076922325123526],[0.5349171833427967,0.5467845873609655,0.7050772047858327,0.5250328730882358,0.6100199420610114,0.543941357766116,0.5029794374430282,0.5256551435090979,0.548619916985291,0.5041181230934028,0.5002321887685509,0.556703490320385,0.5589953910207243,0.5232690967270928,0.6030537907365877,0.5529587863037235,0.504618183541544,0.5774080139489528,0.6677732042784299,0.6203999980634516,0.7272997501728454,0.8822036331680104,1.0195179277997148,1.0544922411523403,1.0549586204679173,0.7334061932912803,0.6078966953389505,0.5983908905353809,0.5931298401612204,0.5362798749478336,0.6013634690190167,0.5356884238031266,0.562615113786202,0.5772800686392189,0.5721244383541616,0.5807995796601574,0.6355847928400212,0.7409875292102722,0.6532928213983596,0.8331062603904356,0.7689558831688765,0.7179655142463016,0.8011445067411782,1.0458769581579068,1.3116571755919297,1.8171442165082796,2.3360889662974373,1.3980835049193296,1.4851651298695714,1.9992736091039134,1.6480042122029908,1.8020891642406485,1.4141690377218437,1.0273731927953644,1.2370753137645842,1.1719988302217412,1.1482440813175494,0.9674682852057025,1.0101513816949055,1.4257161127408018,1.0350321262055941,0.8946120796351918,0.7769291608763386,0.8398072954438306,0.8455920087379215,0.7327398862190425,0.8434450891255202,0.6300242501657163,0.7099523732023763,0.7320069427858605,0.8375703774009379,1.1096604735608562,0.7538793893995922,0.8688869776644464,0.6771714883708595,0.951173107628914,0.6852235650315326,0.6643527278512648,0.7269741831133473,0.8947365221665249,0.6831164640639182,0.9056118444209272,0.7812980353085398,0.9624016177028061,0.8372541483257767,0.6333681689299973,0.6532472660770442,0.7011045514408074,0.6366008045374352,0.6354771565309085,0.6468749243574158,1.0308254769778484,0.821617818247681,0.6255744535894326,0.600545170887643,0.7045852715254376,0.7530145416751675,0.5724396482466316,0.5266349226099726,0.5723955864123375,0.5550553324245048,0.6596351709870923,0.610435405328562,0.6341908374859743,0.7110794977234668,0.7753076625633102,0.8463377786800306,0.8563103444287525,0.7629471275599834,0.776854261367998,0.7051116335943539,0.6106454314543405,0.5129541622947731,0.47182677784542854,0.5268100316859988,0.5206248429902902,0.572870085070123,0.5788950682915057,0.7054571058398381,0.5981080729044129,0.6122941291196461,0.5641874577704825,0.5415529653147726,0.5371970532305413,0.5252337594815241,0.4709364503590404,0.7334870620639088,0.6027558426560482,0.7189588975508033,0.6674152317330952,0.8172444942448437,0.8623540378959532,0.8049497684302318,0.6999909930470377,0.6938717474631677,0.6066450758026264,0.6791731245187819,0.5731790358884205,0.4942805344454639,0.5442912824267687,0.6187873892912705,0.9058002437623222,0.6623209994109893,0.598075435818366,0.6259163350841825,0.5811343511320279,0.5652526668573274,0.5584354458605796,0.5548247756257253,0.5622332555356782,0.5400143265563796,0.6048048317858081,0.676887394925851,1.2251043955217769,1.0557878307019306,0.5281858943276665,0.5337052885776881,0.5571921302305733,0.5676528505667202,0.6042039506525015,0.6049094110134665,0.5808584189478335,0.6087285573770888,0.6849887213208662,0.9049087984228393,0.9174867335225775,0.8883824101916906,1.1189931081674072,1.0092315810874015,0.7957047342722176,0.7281282952017268,0.6406555857651521,0.6590744385674677,0.640927706514125,0.6259393496049335,0.6139158436658599,0.576233104735737,0.6269002082435274,0.6335108196635238,0.6562796106134554,1.025633073085423,0.6982530343583551,0.8020097174817351,0.8884220961012792,0.8354455719374296,0.9366821636789389,1.0166405603873656,1.6440267758823193,1.8229466382452753,1.5219963452842724,1.7214373059633616,1.3722820043826751,1.223533794628727,1.152330208066888,1.2661565118885347,1.3855048745062817,1.0830354869262477,1.0865270662753268,0.9169394527687389,0.9910126937843852,0.8441864867340987,0.777230846385189,0.7654197989300864,0.7045841920525893,0.6868843939157796,0.6843029200876541,0.65130944680504,0.6888229504951936,0.6660198450070799,0.706661041843122,0.7749109698337007,0.8222129059785097,0.7637344956835415,0.8491188375986426,1.0747799100193915,1.0681296761035701,1.1132841480505387,1.045273325502104,0.8780122132489852,0.8873851932880783,1.0318972143257468,1.3603625691083925,1.3215877510940015,1.211814663868864,0.9491397607790361,0.8715155013151115,0.8603018526560762,0.9218392011524613,0.9785927556228102,0.9000377863327176,0.9398441096372717,1.115728725309691,1.020112937303031,0.9704590142631695,1.4377509073291797,1.4146811695659183,1.1269444052671638,1.3126480715125743,0.8898650838660916,1.0765275164600878,0.9538004104451392,0.8624530989279149,0.9633822770092878,0.9107586188441263,0.9750922978414779,0.8439468008933013,0.8218018243012944,0.8119754532211922,0.8739246469925076,0.7202825908556423,0.710845995110349,0.7784005033507754,0.7014577193227824,0.6970817565033309,0.7383274828298783,0.8624742234585553,0.7786277584209327,0.7915674875018358,0.7664691136519705,0.7409425247313238,0.6856383273280995,0.7596837591655559,0.7817617955455279,0.7064437332989134,0.7438829934800724,0.8068619376401234,0.8401608660585983,0.747984215199315,0.9408723550006557,1.099228258106311,0.8730672596801017,0.911759695342035,1.2330400482761807,1.2984601365685113,1.1566760718556484,0.9320724690018292,1.5929207316370066,1.3872204100382552,1.1936078913545707,1.0623525726265075,0.8411608890535726,0.8775152247145516,1.0563591084023236,0.7908099959675835,0.8053536256718481,0.6565927748700109,0.6833089213603979,0.7359497259587754,0.8284936982909512,0.6875541054601189,0.7748421059789746,0.7388267657260522,0.6534785287528645,0.9397568363368751,0.8939960710120887,0.7150257559660265,0.6864666127998851,1.0737767596004566,0.60152866796055,0.7619267026550333,0.6863708227218268,1.3000177322532425,1.611056487535929,2.8567258943724516],[0.6116007729964879,0.6154091984562925,0.7277144301258897,0.5729639717151673,0.5900645488246833,0.5239170143040147,0.45338142735931614,0.4618047901047836,0.5007074692841511,0.44294032555797136,0.45001816084329344,0.5060529699734814,0.4958691456479244,0.4799996288899299,0.5638911309058635,0.4986652421582164,0.4728564985501861,0.5432936366228934,0.6529270942301825,0.6037664735914695,0.7295987779226931,0.8829978395689155,0.9733053884974784,1.0273897560447471,1.0441248737443194,0.7285151891865467,0.5859843331372181,0.5653708310580351,0.5523111757779551,0.47837181363161213,0.5658584301906483,0.47924362008499616,0.5061859641409596,0.5425274598647976,0.5250302104358134,0.541879794043745,0.5844601198930015,0.6950010068726619,0.6111183962704599,0.7816467212930694,0.7523204910627184,0.6966990036825933,0.7813286508174523,1.037666461430319,1.3068655422475943,1.8196659282799554,2.3403570955643676,1.3915959904955237,1.480999674855549,1.9892275774714565,1.6339650377993964,1.7915336113305684,1.4060808291238254,1.0287697258471644,1.2324024557637698,1.1455986967891538,1.1269753023304456,0.9489281678175111,0.9863660806591427,1.4219377261366792,1.0224647571454268,0.8849943010224876,0.75089979786777,0.8432331750478272,0.8470866466084355,0.723824364877362,0.8692701897097828,0.6210030722105461,0.7252263736710014,0.7410586939865781,0.8570564700447927,1.1294656284995306,0.7849714516487757,0.8879849399094616,0.6696272634438855,0.9497910936244469,0.65867301039284,0.6286851859840028,0.6917002776546951,0.8481762292950482,0.637224350422607,0.8549420296982222,0.757414540848701,0.9465332235277606,0.8283395160787614,0.596627596007027,0.6107313761807995,0.661564518678125,0.6006698588748737,0.5844823029281823,0.6180085750910776,1.0123141732417877,0.802563505136948,0.5903542031635853,0.5531556704481208,0.6726090149461849,0.7141638839973983,0.5202312984980687,0.480521562749045,0.6068714081640716,0.5134713291924267,0.6596944843677646,0.551773251957945,0.5865959444443404,0.6883697500235002,0.7355213105204085,0.8225583641430616,0.8633247084552275,0.7755513393083074,0.7738442471491744,0.6951960483613536,0.5771976602251958,0.4763026225760915,0.42942128723441864,0.4679777054882726,0.48182750565245747,0.5434394242942139,0.5677002168194081,0.6997373367997687,0.5790580987038624,0.6021470999352176,0.5344623386457361,0.5136112822700433,0.4705937270238752,0.45065391779744846,0.4306426248891624,0.6653240908069525,0.5794665169196057,0.7083046637247883,0.680543465970981,0.8419321899151982,0.8988338486364412,0.8387502267382518,0.7199253135833324,0.7113036361307588,0.628693372168483,0.7017976096633048,0.5884155477535561,0.4794726571659573,0.5206296100128106,0.6041977376710842,0.8803326131444674,0.6378784278404478,0.5634857978374858,0.5880943302575619,0.5306343418923318,0.510622568381707,0.4974630154012403,0.49499027462507655,0.484794934974048,0.5134083147446535,0.5277704263086632,0.63284462881064,1.2432493357209176,1.140051431595232,0.5068356716613732,0.5086115454578665,0.511452574995621,0.5150344488053821,0.5745705144947185,0.5618665261224293,0.5256721085492374,0.5722759113944307,0.6471575758854452,0.8538909463046745,0.9028877480987747,0.8765741926485077,1.1116286549218175,1.0223441670332238,0.8201955344304247,0.7430442902784015,0.6248355541372438,0.638307386057098,0.6110438240961442,0.5888452581505432,0.5741025217346775,0.5232880154135985,0.5890599434451692,0.5914666191151768,0.6279843430481901,0.9671374369425805,0.6712666167145769,0.7810266040872281,0.8989256900743554,0.8260872874240583,0.8939659279498116,0.9568659697024932,1.5603215086496434,1.7756328708629412,1.4734336284548897,1.674708836304382,1.3067497598309676,1.1928421557468072,1.1277571670270796,1.2200874853377066,1.4228250871615515,1.1139549776583335,1.1320057003330724,0.9904001534531718,1.002401098813315,0.9021465109850935,0.7979772138307137,0.7820820775097591,0.7860422919636846,0.7725876443352138,0.7305028821702487,0.7239351957341805,0.7900282171533652,0.7459655915483183,0.7600068659185563,0.8298980436754191,0.8916110501693764,0.8259926853260834,0.8874176725736292,1.1161727296890434,1.0880540174765658,1.1801689126040082,1.1466843475495054,1.012035968360972,1.0299298239503052,1.1858206802564586,1.4151987431536452,1.4044582503078291,1.1940784470540207,1.0574059439161605,0.9958040769638771,0.9440002536841381,1.0472427334614518,1.1416207130585316,1.0034754062093718,1.042291889439087,1.2426742679604617,1.1805859253277105,1.0869225597836913,1.4801725667244285,1.5290478847502478,1.2235977522243076,1.3904687095007635,1.0037757584854266,1.1307563805946992,1.0185170706907967,0.9078556455524059,0.9725108220594969,0.9551363156886907,0.9289255658557891,0.853519884315752,0.8616233777325686,0.8101481002850413,0.8588244410023124,0.7491118032860157,0.7459979446586924,0.7819788165132668,0.7392605738806814,0.7748982421280994,0.812002555704076,0.9415095912740399,0.8751968752358863,0.9189439098673268,0.8851540123802454,0.8813441866441163,0.7738119803729785,0.8625006598568782,0.9371963891986377,0.8142981443103159,0.8560436934966159,0.9522737839310077,0.9873884754880355,0.8685067223408396,1.067004822050733,1.2075086284647467,0.9778716644330406,1.0163107492382426,1.2967849797174638,1.3465291375795145,1.2166277551818885,1.010228215024494,1.6430820990858426,1.439169904817885,1.2720370292358998,1.1015091815255957,0.8849603361755928,0.8987983190985316,1.0174823312754642,0.7935052406480244,0.8951275218725323,0.7978121934169718,0.8113739760919622,0.81159052682919,0.8624365794639794,0.7049384625799665,0.7933785467822961,0.7388511320539005,0.6713985721382711,0.9030624671765956,0.8632253317645606,0.7051388833535749,0.6674458706075616,0.9928442104233269,0.6096207349493952,0.8367275000325308,0.9379730040657458,1.3328973585577577,1.991600835826006,3.450520132959068],[0.6091560924752902,0.6142133754124111,0.762587396867615,0.5665895929238118,0.6075958449150911,0.5307331051638781,0.45661231344222314,0.4622980621055728,0.4906087261906336,0.4236133537641111,0.42063677539778827,0.4949509576045772,0.48534044086191447,0.4528457808714288,0.5411824777678667,0.49132523377639686,0.4655424289088304,0.5377402750479516,0.6482467461986752,0.6128135202218805,0.7267042478231244,0.8767668986127061,1.0775197982543252,1.0971236077545878,1.0940957433911043,0.7562071214891622,0.6166828097166548,0.5777577702419555,0.5589332192920345,0.4889353489885021,0.5482977564398197,0.49003880516884635,0.517568695812508,0.5330150857046164,0.5393514775328135,0.5438500644931278,0.6062483145706173,0.7148316202767687,0.6458749263845219,0.8197418085476058,0.794411780240135,0.7348137198043627,0.8432821650667561,1.0812695005458162,1.3629963587902008,1.86067766446101,2.397262572467782,1.4700575328883019,1.5365132504959638,2.028129207951279,1.7122299236878527,1.8874955385258536,1.5147812107261738,1.1065387470400094,1.3568521754718854,1.2688635769982566,1.216175672653318,1.042933823641708,1.0931092306900336,1.4302940909200605,1.0424670719987967,0.8926511631240429,0.7462954150327199,0.8438585713266431,0.8497701384673086,0.7161817078045903,0.8253183078237092,0.6090505991706618,0.6990346863646103,0.7112268944455727,0.8235127807056927,1.1008856477442013,0.7419320832056245,0.8591994386551067,0.6408503635718593,0.9150290448072196,0.6756935549524783,0.6471063819746011,0.7075773673432068,0.8702371365230193,0.6727592302751692,0.9001067746614738,0.8157881051109607,1.065818830103905,0.8894486468574186,0.6565146772136027,0.6381398313490193,0.7006549741212563,0.6188339848998852,0.609527636922007,0.6104307240108326,0.9891381361290983,0.7732322112409781,0.574450510862167,0.5424889205231326,0.6528206452206652,0.6908427251626592,0.5178926837254126,0.47971876641511446,0.5819407806137451,0.5201397848111181,0.6650051480260658,0.5678022429484525,0.631474835552658,0.7325474840547942,0.777483050961872,0.8924240849225605,0.9259499302050057,0.8090781712606915,0.7825462541097434,0.7138167261008309,0.6109700401496344,0.4777381381920199,0.43311151923059843,0.45808779207409217,0.48203582756519336,0.550870486399016,0.5578611529378752,0.7024074646566271,0.5637719053091971,0.587312644546379,0.5204693702492601,0.4979166547674174,0.45006959895614024,0.4223229798524999,0.42354262036539997,0.6907267598999872,0.6000758859522402,0.7379222322147654,0.7321990433758792,0.8895187122473907,0.968691988956115,0.9111633378466978,0.8092934911943187,0.7867026844939861,0.6663006943657428,0.7227217800232427,0.6033200530732346,0.48664070509726265,0.5288296207096332,0.6117179471621752,0.9107276066744824,0.6522479751123053,0.5784612122237914,0.6183081214806628,0.5503340673357943,0.5341043800356108,0.509029560032359,0.5151632347991203,0.49729629168033174,0.5314217582912202,0.5187277383301876,0.6333999331314545,1.1926411315276277,1.0603243327988223,0.5054917126366673,0.5029039042543662,0.5301951160467139,0.5266730746360558,0.6046439823784177,0.5982469227848211,0.5662670030332728,0.6037719275423181,0.6910040128419479,0.886061992556611,0.884546179585174,0.9245971605619473,1.128841673703084,1.040951333470317,0.8353131917579477,0.7906835095197935,0.686275255991741,0.7121905074291804,0.6841052997989251,0.6607218835862279,0.634889986175155,0.5649982659037514,0.6479268585057022,0.6692819861032835,0.6954651740429317,0.9710389438410949,0.7279282681155334,0.8653359133741562,0.9876790008566907,0.8931954292205133,0.963408891196586,0.9789531492048716,1.6377435815827,1.7623858119423468,1.5053846231967596,1.7084236629666871,1.3158259173925253,1.2301221002295153,1.160268777178735,1.2824676125374532,1.5202246065868252,1.1721949297599403,1.2131092881310293,1.0555784231869325,1.0480975084137332,0.9673582519043441,0.8570329522551035,0.8206628426742345,0.8112126970691367,0.7992154155346636,0.7491051139216878,0.7397824972742649,0.8079859572868819,0.7679645038623927,0.7828867082215827,0.8542534331739369,0.9230834254325645,0.846571130384894,0.9141053490211629,1.1702502137764765,1.1339467252368407,1.2241391522742515,1.1875532823768804,1.0331745146211686,1.0624365084270366,1.2267368620444508,1.4819603272494384,1.459246769301844,1.1883207892582637,1.1003324607396432,1.064673085342334,1.0193735277416045,1.1529823433279172,1.2184824067677555,1.0871883508463984,1.1129996956799046,1.312027744279277,1.230915604469021,1.1636773789560269,1.6129053567115241,1.624030973909388,1.2872991402325433,1.415553014585385,1.0794859711702762,1.221020492579756,1.1041410990769358,0.9789851274763854,1.0378013552046872,1.0311891567436506,0.9993107158390656,0.9260234600119627,0.9275682049607084,0.8623655088957755,0.9110124271480317,0.7858134765954919,0.7713742063332948,0.7961868453431655,0.7619019897252556,0.7993889536513882,0.8230422604073113,0.9512309914261762,0.8978405277990025,0.946115246452446,0.9244900641597561,0.9223209468542717,0.8173762997478706,0.9164490952566913,0.9882828201443133,0.849275731028565,0.9074239312156211,0.999659761928065,1.0203945114011912,0.9097097423597406,1.12603666079661,1.244331767946213,1.0027973884334789,1.0654300746837828,1.3765717583464678,1.3833993642927271,1.2539214165185757,1.0323095383282084,1.7228672971846428,1.4319918950713744,1.2984880862427377,1.1295280814048954,0.9103770588294454,0.925488144092798,1.0716393918145874,0.8285605354723926,0.8825935187003698,0.7967102056154329,0.8262663145457333,0.8308263114713609,0.9060771302349764,0.7235359046147369,0.8097752496977203,0.7646820684405242,0.6953437859827535,0.867346393522649,0.8711843738612702,0.7335122516609064,0.6788844221173225,0.9723837049608557,0.6400622021233312,0.8433680125087457,0.9336681972618586,1.3597201243332468,2.2341399464015113,3.7084078305705352],[0.5786715697703056,0.5778966048707331,0.7641475970865531,0.5516604693141219,0.6215204318398899,0.5569759684389822,0.48718978764583776,0.5004594414326292,0.5126046143056312,0.45859573576930235,0.4509075094640531,0.5233343848294836,0.5122878793564825,0.481283718179594,0.5620579736842528,0.524189816786905,0.4957601104513958,0.5610084157771925,0.6737977736974458,0.6336966595714861,0.731353007496558,0.8329021082591825,1.1719720507741165,1.1495065136123717,1.1653138515205919,0.798331194319052,0.6545770010764558,0.6077746090919208,0.5916115321199897,0.5299956680507695,0.5708328798532001,0.5354609161421369,0.5628156067691095,0.5642104393053625,0.5785505303126381,0.5736274359981256,0.6418890984065299,0.7301522708202691,0.664391727203983,0.8162622493205961,0.8150310081137656,0.7482500634374114,0.8632435969978938,1.0935388171264206,1.329780435231737,1.8476219727629024,2.36304161581431,1.4642112237833769,1.5312605771580197,2.045226908332853,1.7151068859059015,1.9153698027753852,1.550652629224584,1.1548096854430077,1.410775582869288,1.2970384161869541,1.2399106349754128,1.0916232630976974,1.1349982720891105,1.4024518995198496,1.0247434649081466,0.8911422216430196,0.7469221130599519,0.8140434522927262,0.81699719855101,0.714750043382746,0.790182221201896,0.621631782155609,0.7014513781093275,0.7091699916341416,0.8181461912257326,1.080764836332476,0.7312976381302172,0.867159564367526,0.6509795025687409,0.9182076515771382,0.7089684605951626,0.677214903216581,0.7256561387614641,0.8759548866628628,0.7043169858082999,0.9225023025256474,0.8442607731411276,1.1007765414104003,0.922498039345917,0.6914183691735493,0.6592984888163909,0.7399839606890543,0.6468966229015586,0.6446761508215367,0.6350501739192485,0.9779826984030494,0.7755998151141292,0.595902767550069,0.5717232869078412,0.6657248728153979,0.7060846094866396,0.5576073573864166,0.5154741600753132,0.5872221837476798,0.5491080284562353,0.6782695898770199,0.6026070596111109,0.6600955388391969,0.7484788970030961,0.7913590514850842,0.9008738367382098,0.930648776069458,0.813138941959493,0.7931878150714955,0.7277609517749307,0.6303424993145775,0.49956485251430455,0.46055693724161734,0.49008002166744485,0.5195102799438156,0.5871054073799072,0.5837859214970526,0.7338382886285991,0.5869506330938788,0.6134500949163193,0.5466211850483778,0.5212919961477804,0.478117402229269,0.4594839679493188,0.45770235726684516,0.7145852900813754,0.6271307711424706,0.7480457084178902,0.7428464415504706,0.8896906086798801,0.9639278477892583,0.9066107380244453,0.8146742751504659,0.7954776369390093,0.6903237714292555,0.7275197334868198,0.6259395515075872,0.5215944549279233,0.5581445368596,0.6379797147373425,0.9317873000288612,0.6731782352398135,0.6050129400880332,0.646285319568389,0.579518697798922,0.5647587651504976,0.5375032028768509,0.5458763126140249,0.5339611814151367,0.5497678695578925,0.558813711073592,0.661884882183589,1.1664423809177062,1.012793606241457,0.5322501664067719,0.5267003201381838,0.5593475690763016,0.558892801352566,0.6278487164058252,0.6255390349307891,0.5984402896488739,0.6339757006372535,0.7136181541848159,0.8855188951778293,0.8851484758931251,0.9312331019626209,1.1270322006914626,1.044041032223207,0.8462769798002437,0.802955291250448,0.7118551817656723,0.7368095895874149,0.7108229460892479,0.6919719233842982,0.6646045154768335,0.5967934209755266,0.6755051370527478,0.7009040597604397,0.7216072105550444,0.9710227340737495,0.746506798432476,0.8743013266884969,0.9901561712215872,0.9008784275691623,0.9712890386727931,0.962609764239994,1.5759024254607206,1.6916623995716529,1.4644793911044152,1.6744175944809985,1.3049348607174687,1.2194784714343936,1.1524725236697027,1.2787801301543513,1.5012534030563047,1.1637572553306283,1.1991980608039041,1.0336112859294746,1.0500019889897152,0.9507912721094862,0.8605350415030077,0.8300874060295268,0.7965795068987254,0.7805164789537465,0.7524526042489373,0.7345656705347121,0.7850680698222386,0.7525378340862032,0.7798491848286655,0.8529649973729013,0.9145834741945688,0.8403738183484003,0.9227470903704819,1.1731670985583011,1.1515641300293846,1.199664377013983,1.1529789328801394,0.9828848388423389,1.0066601599750182,1.1605347433191022,1.4613653088096306,1.4232121877048094,1.2242201500305496,1.0586091708044416,1.011957324306699,0.9784998235849142,1.0866258134297577,1.1433326338193504,1.0373236697349324,1.0723697072141511,1.2563012323915126,1.1583829664764038,1.115931091627427,1.5763833615615201,1.5458444450359463,1.2392835152946504,1.3834326644797954,1.0377985816321338,1.201769786596498,1.0780153928838887,0.9592822314885141,1.0425384652912018,1.0164723601390393,1.0196634612606785,0.929880482230062,0.9287508092926576,0.8743038258267092,0.9274028563030455,0.7866717542396019,0.7652220991524219,0.8022576687380386,0.7606156406321383,0.7819642970627363,0.8060620448529835,0.9197617671123446,0.8716953901291935,0.9054895459423897,0.885156904729892,0.8757354407219704,0.7981359782519839,0.8850189444304618,0.9287998384831121,0.8218202488400499,0.8741555819930504,0.9428980803990729,0.9688739719497554,0.8730331889053838,1.0760262266729488,1.195021571579533,0.9666805924902221,1.0193096062402194,1.3349793211349001,1.366280306046072,1.228954894786,1.0074514683560378,1.675140738902108,1.404119351388182,1.2693646513965167,1.1384946517506787,0.9160005221852985,0.9452666071916611,1.1246840503500477,0.8677591232593048,0.8755527517680096,0.7527809494719442,0.7969695215389122,0.8212604904459317,0.904418983751338,0.734075548633419,0.8181782094576239,0.7738176887183958,0.7034471417207704,0.8730693243344886,0.8867113560667857,0.7557811021883689,0.6933648653376182,1.0068858591586256,0.64304786155634,0.7925741723473985,0.7842881669823065,1.2786513724527135,2.02307349755616,3.377941207822769],[0.5885919720967348,0.5884864921369234,0.7507426065745372,0.5621908834067237,0.6069158211565473,0.5248046170915054,0.4702469254282391,0.4761927621456567,0.4814830441169867,0.41010531133009226,0.40424975984891165,0.5081555226007843,0.47001498932668007,0.43405962264210474,0.5130796148964465,0.46931714039978123,0.45003167388684673,0.5042784682475051,0.6289274410239656,0.6052159107058986,0.6776633949689546,0.7146128958192948,1.1578303178452602,1.1064284164293954,1.2169914351963993,0.8036887794393286,0.6377182916186923,0.584718299883643,0.5575715721663848,0.5038766579353358,0.5175410461582237,0.5146295459395354,0.5344564163827931,0.5560511264224227,0.5713573366216003,0.5591248610672594,0.6300872082928193,0.7030941707008389,0.6297095351750339,0.7376004638865258,0.7747060633999925,0.7192129917829313,0.8416869689792051,1.103202951998812,1.264731584716939,1.8381312055174768,2.3027071996467394,1.4277469901782522,1.5028921581254848,2.0836575030320845,1.7039271448348265,1.9338821528703758,1.5528710895520639,1.183118175606816,1.4322108876850024,1.2298857902111362,1.2011802150377635,1.0986563760099608,1.1233867503134554,1.3287243471125847,0.9598196254738447,0.8600175328437697,0.7002401683100388,0.7257773184929328,0.731392587048978,0.6635761428507259,0.7357230445931194,0.5753065057576784,0.6480346896681647,0.6391562889348921,0.7566401957830572,1.0049681323541835,0.6817322781294547,0.8004152746915753,0.5945604797720199,0.8842979907058823,0.6769287764833942,0.6435277346833621,0.7008308296767631,0.8302761649102594,0.6807407271988999,0.8724065557860367,0.867572863205218,1.1150889126436192,0.9590552365162982,0.7029903588297546,0.6402913170462886,0.7197458613169103,0.6329403553469118,0.6197253700535408,0.5784522914093173,0.8944403269329128,0.6948893150244462,0.5323767094245974,0.5064491776214313,0.5827839419613795,0.6327994021901596,0.5259980521812868,0.506624630559239,0.655271556641347,0.5602507446720912,0.700542862922247,0.6106796990427582,0.6739155761104417,0.7660688041616074,0.7891115447150486,0.9020895913675248,0.9431096362151178,0.830969811263713,0.8021576106673912,0.7329520537963896,0.6502598566655255,0.5238712807237,0.4823563638721161,0.4585574093621774,0.5036485464926741,0.5857762819088418,0.5644799238507824,0.6916399210659687,0.5558834704719509,0.5709085401496261,0.501580279329529,0.48208230067571595,0.4341787348399182,0.41055846009308833,0.47880975313976504,0.6675246718360119,0.6316353754368724,0.7687256646175957,0.7759636325942455,0.9268501945894702,0.9983104600777849,0.9659243087670785,0.8589639907583362,0.8546808399197834,0.7576586988272513,0.7933097796390941,0.6955350436326939,0.5669614815917788,0.5939629522458223,0.6468064515443559,0.9092081243126161,0.6458253057367357,0.5932854288804851,0.6375655852248595,0.5591221952866184,0.554318838205966,0.5317595481541669,0.5504682702680338,0.5087659737672146,0.5670728075731678,0.5242528146239539,0.6460054605760654,1.220578263895247,1.1057909643184587,0.557856249486165,0.5510236698972103,0.5625662033922411,0.5648646789216242,0.654197099017347,0.6497568346547334,0.602446996208678,0.659098684102419,0.7277677196545899,0.8594628655186052,0.9134034252888534,0.9596803992914197,1.1488040960056167,1.0951856970973373,0.9465699019271135,0.8734863961448417,0.7732683099328624,0.7946781777890118,0.7546086128285323,0.7277454071841286,0.6905501631306287,0.6202151405283868,0.6967583841964887,0.7227449757729921,0.7421821973676925,0.9350830109100857,0.7714288580341955,0.8975408093765227,1.0309461918101217,0.9339687629888098,0.954451585139777,0.8842681057071781,1.3368531091176687,1.5683448690842716,1.378304246742849,1.5807279927669635,1.235283671705596,1.1853122745356246,1.1520857946854028,1.1994461899893734,1.478972185850912,1.1803151671178174,1.198837446043658,1.0503073178374822,1.0352087847395388,0.9385137655422531,0.8287617178318876,0.8086577831558,0.7972999090669953,0.7716246293463999,0.7301181291171306,0.718199064240387,0.7708129650923107,0.7348899586305199,0.7533020261818695,0.8161665642701991,0.8804991670235652,0.817885852754005,0.8879730724053523,1.131472061032753,1.1011124020763616,1.17272233137031,1.1218650064974929,0.9761124145937,0.9967455545897828,1.151866932147405,1.3898939499346163,1.3742521990347656,1.1391636388656283,1.0241937001717145,0.993024171727383,0.9674433163484204,1.0851845340734485,1.1506686702381395,1.030071921829942,1.0759433399619562,1.2638111803208016,1.2095894898702513,1.1248040853472394,1.4968261394028075,1.5560649627339571,1.2445226766018738,1.4334795523902513,1.0538208388254073,1.1985513907760843,1.0677668075444036,0.9408530340420058,0.9931225823760679,0.9871553315291183,0.9517742978617235,0.8920973711155785,0.8832869942696698,0.8257008010925976,0.8805518922142793,0.7561957546740256,0.7451684428040776,0.7708531896757089,0.7341974920620041,0.766108668023313,0.7992094587183246,0.9324795500341341,0.8656020687008724,0.9051782795005642,0.8726728131891753,0.8708937885876767,0.774462115959613,0.8552106575500301,0.917181902130855,0.7967335600310756,0.8504139105003468,0.9262042332162806,0.9531771298901698,0.8543747988671215,1.0455009936310737,1.1739149689972033,0.9453922319311872,1.0096583344813455,1.260648289786039,1.3162638261860344,1.1917575855313791,0.9855123890888915,1.6412391979911116,1.4265557710379624,1.245709941556716,1.0914039522374541,0.8684377729930114,0.8963449619938775,1.0408387029806103,0.78262597305255,0.8608490744610368,0.8051713819076971,0.8205434709281239,0.844363292713499,0.9071345740124902,0.7436634506813138,0.8166236439649964,0.7631168556289274,0.6910383600713065,0.8432927637159816,0.8518179106860684,0.7171029395109146,0.6689266698759232,0.9448114155948464,0.6341089561416638,0.8189513461070941,0.9235633245474913,1.324549247930538,2.2473814219593136,3.676492834651952],[0.7344966604458729,0.7354435658709453,0.8798560037232566,0.6516093687783429,0.6859533610606808,0.5948147155291379,0.5396572611110639,0.5493028425931256,0.5144327636931267,0.4347829646974724,0.4223930375593763,0.5334785625674626,0.4992073345851886,0.44581425710072736,0.5187921578618602,0.4841925775578871,0.4602554550016581,0.5110849195384565,0.6222359901298924,0.6122620241673669,0.6996364070953137,0.7915637552481889,1.1424841699309898,1.12331859952134,1.1833900772291701,0.7855020680751874,0.6446808479423848,0.5933758663779383,0.5706441119073931,0.5253904407462108,0.5234204622885614,0.5397821946514428,0.5553596111175155,0.5693235274411346,0.5922592215511826,0.5754076616336791,0.6623742383356563,0.7306506788335584,0.6822340474687637,0.8233512990742162,0.8307964335544004,0.7463556120264903,0.8731089924705423,1.1195524800154013,1.341404807152062,1.8824520894274746,2.384247308684751,1.4912378866421776,1.5484802971514329,2.1004096873242233,1.76726431496412,1.9936536637772606,1.600086459278214,1.2293396240420151,1.4914695584322082,1.331602447660907,1.2531835525952932,1.117703680510457,1.160532697130841,1.405302533296877,1.0242524997609324,0.8913923974251872,0.727892929464124,0.7745245528715382,0.7869208621672027,0.6893403751490051,0.7713276554572174,0.5782453837611927,0.6483379390906444,0.6457998506698751,0.75585205977248,1.0137690537157025,0.6794797256052938,0.8115573672055787,0.6085905357629294,0.8912959989956697,0.6743368397161751,0.6573747777071824,0.7273234919523136,0.8793641103277766,0.7246072551993805,0.9364310772428586,0.9215798107316062,1.198058173941961,1.004078468005722,0.7552267995080147,0.6813896343591652,0.7643300378762299,0.6532860439660113,0.642975002747492,0.5910377964270885,0.9031098192153497,0.7140225398974968,0.5389526884681617,0.5110842025118689,0.5854155366088631,0.6361632649172685,0.535564538854339,0.5347748980988053,0.7239851137546106,0.6151369157384339,0.7746038141861132,0.6790552502418056,0.7736099539668255,0.8783351710334298,0.9004744267132923,1.0462774466421432,1.1017596339105948,0.9824193474377212,0.9246452583467843,0.846253383499333,0.7393382576641988,0.5926932399356849,0.533743077102187,0.487546422211322,0.5157812395427249,0.5821869498246629,0.5654982957112078,0.6831818495971017,0.5572563100121719,0.5708486744513837,0.5092672535695816,0.49326617824467,0.4444790655867321,0.4362421559830822,0.5289798756513627,0.7305766614649234,0.721748718332339,0.8861574985886506,0.9052644495719313,1.0800501364989006,1.1837731939873068,1.117519146164311,1.0087663646661984,0.9721246726813454,0.83435318771832,0.8788937090637116,0.7338543691665276,0.5800629589836985,0.6115249413833074,0.6446412689429312,0.9413792704179379,0.6645739694803934,0.6106051375988538,0.6644957826187898,0.5876462216816464,0.5810925138242113,0.5728037781197978,0.6117421481197525,0.5617677862079501,0.6602966402462163,0.5845119213307991,0.7161039288085906,1.278538549950629,1.1654046966153877,0.6401610551215992,0.6157509913525615,0.6487989747602715,0.6235038099237958,0.7347824313250895,0.7114939339541462,0.6520016359399394,0.696916104684346,0.7785451699108145,0.9353099488548006,0.967301901758842,1.0449150089987322,1.2386215354680685,1.1816654249678045,0.9954460819154791,0.9471276749179172,0.8166279033713572,0.8555483657181023,0.8219487420129609,0.796388852316604,0.7722599637892584,0.6794342339073733,0.7755184884577869,0.7986515167366397,0.8457443233037708,1.018228642827747,0.8744578385352653,1.0183421657470633,1.154653874005907,1.0384762622311454,1.050365558262424,0.9657777319364166,1.495687777109032,1.6723483739791511,1.4913125823732476,1.7089030447678648,1.329948995823063,1.3157412534987933,1.2780430910525822,1.3713952887542995,1.6750412250770652,1.3505860792652238,1.421887132466447,1.2839713702620938,1.2213874400946345,1.187678221742695,1.0512059081305534,0.9965258765825779,1.0330459465816546,1.0203317607252282,0.926078295627763,0.9185988628550216,1.0044788120400634,0.9550097004923114,0.9159680692565908,0.9789264353741233,1.0543811842375455,0.9609408669905294,0.9992323168185658,1.2367651201427758,1.192981279571767,1.324069524881956,1.3146727696251328,1.216729968487184,1.2433752007241174,1.4221847466539272,1.6184610544926348,1.6109645862359285,1.3247341323002049,1.3326080223418093,1.3157581307072246,1.2585528143253764,1.4233788836264614,1.4922821318546688,1.3228394096611118,1.3753480210222775,1.5890286662946882,1.5157487045819422,1.4283096120340508,1.7592316090378979,1.842695768290968,1.5314729633067108,1.6075216720141876,1.3334075321725454,1.4357601352098324,1.3362269558230138,1.198880500711158,1.2137381419707247,1.2445932488538884,1.1375206174957848,1.1076935524222908,1.1176035064314003,1.0318203102676582,1.0643603435005309,0.9700852230105916,0.9479722142010657,0.9245035430243272,0.9124220250808901,0.9851739959508122,0.9905810245970111,1.0902066120175136,1.0549321231399904,1.1387622280956466,1.1215934897467952,1.1423285143319215,1.0343198061327432,1.145774640763356,1.2140698477787881,1.0682870194723553,1.153434719411162,1.2395180166577071,1.2403158298129155,1.1444215508325577,1.3550114475525263,1.4379794621496162,1.2065450036204652,1.3063856628733228,1.5422631741601505,1.5117016896241817,1.3843188063931173,1.192307814787835,1.773431541358236,1.478475289919187,1.3812564770472346,1.1971844346604532,1.030344504716636,1.0221898590570997,1.123906357763855,0.9399261612208105,1.0561768661889526,1.0764090949586054,1.064334660123826,1.0276564660189365,1.0923764393311957,0.8800460078582368,0.9543346013519214,0.9140279024679867,0.8689096413590042,0.9389232409009867,0.9609281931291169,0.853021624930324,0.80760069478592,0.9943239256258631,0.7576255118849384,0.9640817675108672,1.2301847351272768,1.6232117167612927,2.854696278294848,4.446609468500333],[0.7788097407739337,0.7494797708366726,0.9176564192430399,0.7092410146246314,0.7793223478680622,0.6967402274306723,0.6228036593554871,0.6481538878640134,0.5863206248892406,0.5341268488543113,0.524337572230931,0.6295075365218925,0.6012110300440765,0.5457936474929862,0.6154009183782478,0.6137053476658788,0.5941671628504898,0.6557571495659293,0.7677061682790667,0.7656354895653699,0.8390579650163386,0.8778175374866117,1.3908169349514,1.3162421573526208,1.3488191584285094,0.939393279321974,0.8156407925335215,0.7362854270392138,0.7175117627534398,0.6727137185732182,0.6556514274064255,0.6776741739049243,0.693923053091521,0.6969831984853846,0.7448365597480244,0.7217834340276215,0.7975710274018669,0.8699974763891092,0.8284190173269845,0.9429901410416371,1.0099357878611115,0.9119405207502407,1.0738592698986118,1.2760171429799938,1.4212257228961391,1.9137536712320957,2.394164219553092,1.636017918464036,1.6648695678055745,2.2064299563272973,1.8753904946539874,2.1636180904084683,1.818417348820978,1.4448195547118063,1.745534906010386,1.5585137718772681,1.4584764991052805,1.367097492758731,1.412812919705685,1.4986039668786584,1.1455476124006434,1.0328327428568425,0.88201666587638,0.8821895146266358,0.9168432504288656,0.8505626111724048,0.8367436178231167,0.7253277245714529,0.752345221994004,0.7394762165709728,0.8190655385634934,1.0369763439761894,0.7420077514765231,0.913529691537379,0.7208177004437322,0.9957760522366838,0.8596480510910475,0.8203395119327668,0.8748205533952697,1.022314441224093,0.9071479271538739,1.1173379399660304,1.0823255745965645,1.3633174320416277,1.1346147743757575,0.9196838245795022,0.8464110995268894,0.9134301266980338,0.8153949006882576,0.7949022516062966,0.7454623024812778,0.9984618889918395,0.8072167795759473,0.659733357042375,0.6273433017266994,0.6623270239520653,0.6861596451788469,0.6515016567693509,0.6451468309196992,0.7527571044753208,0.7271615585832404,0.8403582517530003,0.792774164575645,0.8809986907212551,0.9960963101462696,1.0004938313244645,1.1266091843783104,1.1653072561346198,1.039993681771858,0.9765491477964128,0.9127287477595526,0.8213145230156946,0.6613587233744276,0.6258619585955886,0.6023997321513013,0.637850752858322,0.7022179703627904,0.6953137321977806,0.8136004516691675,0.6706405081633121,0.6683429538608372,0.5941646399938704,0.571630862387699,0.5490054680097703,0.526939869978794,0.6035387406562353,0.8107368588718925,0.7990342070367837,0.9447783641685025,1.0091297415482603,1.133890690696542,1.248274426738865,1.2261324950475916,1.1362944001879796,1.1005985764913546,0.9715593159021503,0.9582802621800877,0.839978529773367,0.7019980835543665,0.747608979954671,0.7903480297450977,1.0789783308757865,0.8138068277868126,0.7572286159960019,0.8317581248510877,0.7320062922846816,0.7140312397874903,0.6850614065994141,0.7187453429721359,0.6688133641698457,0.7481164946254671,0.692926792750069,0.7923640404302114,1.2793920837979134,1.1018921196031977,0.7081154253035086,0.6829976426530611,0.7409881620913585,0.7280495766650175,0.837114706858981,0.8304052765670562,0.7978303098043519,0.8397956468692062,0.9252450204837985,1.0158718679753957,1.0523197368206496,1.1540103294065187,1.3203850625718,1.2712139725520002,1.0972965267866555,1.0755900599478272,0.9725191495642702,1.020921522701221,0.9883681284402702,0.9561619005561361,0.918422717979478,0.8126616734788421,0.946003291410114,0.9715752948749006,1.0036385395081961,1.0564660015710252,1.009520443340997,1.170509878580865,1.3016201492461648,1.174160866927491,1.206821837075623,1.0724905309749695,1.5328721967845402,1.6579736121714779,1.5514337111100163,1.7395096102902037,1.408228742828685,1.4107200582375372,1.3902229407390887,1.421638293486442,1.743702435291387,1.3886570106630178,1.4439777053248368,1.294557644036198,1.2560649148521135,1.2097687981232768,1.1170866983286225,1.0648535903958376,1.0659365116464996,1.0576867601023898,0.9929166860976169,0.9714091456001798,1.0447328121898396,1.0125063799808316,0.9916355098201457,1.0503792172204234,1.1254110943218376,1.0456996470668034,1.1187787838730772,1.3281221680227666,1.294162975351158,1.3745891564750858,1.3217433172962811,1.2050866094786172,1.2419607846923029,1.4163283321725895,1.7502904210580743,1.6383573718386373,1.389904603872454,1.3321710724600833,1.3180573081055627,1.2644789537719345,1.4364660579726667,1.461010558661537,1.327319320412598,1.3600063517227692,1.540356048593279,1.4565821170263187,1.4063679624027465,1.8097447216094522,1.828543271960946,1.492639239907443,1.5922374316290182,1.3230267668889135,1.4590619643686125,1.3499049760426085,1.2133120231250352,1.2711905048622194,1.2795952551837086,1.2090328497899379,1.1663039858353443,1.1898036639365044,1.117787544341839,1.144662975679198,1.039905932333502,1.0199846024233983,1.0055254077897628,0.9965224796559733,1.0506630242758448,1.056967548301832,1.147038799070136,1.110149233795975,1.1700880454753755,1.1504159593604901,1.162840067222552,1.0692203091489927,1.1815011648521887,1.2221822122246215,1.1014541099379882,1.1700151277122959,1.232116845836427,1.2426422742391214,1.155872913541884,1.341603282064789,1.4177196037349347,1.1967415448671004,1.2965960892265807,1.5498749187021281,1.480690167722168,1.3656140481138717,1.1952178412710632,1.7629294591686935,1.4421780959286288,1.4046535418433161,1.254553574896529,1.0847792603127202,1.0886941511206278,1.2224880094840793,1.0223540790879182,1.054446295717509,1.0399091673952616,1.0569305901265749,1.0610675420804119,1.1367535778732167,0.9371079354672983,1.0310183745948982,0.9906814845534011,0.9563270609559258,1.0049521230577614,1.0232370384744658,0.9563575576491622,0.8973040091374292,1.0418583247611535,0.8174449621671187,0.9656438025968876,1.0537653520208512,1.5385008745200837,2.7017178290139365,4.176659736571601],[0.7307911666183968,0.6853231528751089,0.8474802373733774,0.6692163273144814,0.7127581839410858,0.6499099160202525,0.6105162520448986,0.628549581982375,0.5914209070941366,0.5484205562513161,0.5439161066898078,0.6560741617028086,0.617631580323503,0.5754646406520085,0.6406576174218431,0.6334351076625678,0.6342084881197003,0.6907693315422729,0.810120644911454,0.805985656410877,0.8583276738295685,0.8133743222883761,1.4705327900687744,1.3380429031830108,1.442492035809253,1.0012418236185427,0.8516986584963596,0.7792728377362621,0.7497073870953264,0.709513018323268,0.6848170520777431,0.7102160542536956,0.7289925151287182,0.750202376966214,0.7894338429921777,0.7658330919544051,0.8349445809379804,0.892707294300998,0.8438622252206393,0.9119992097181325,0.987025895728956,0.9331773569464535,1.0835011095525544,1.295795034776431,1.3366102001082747,1.8544051751784416,2.2924846706465805,1.5706175827712792,1.6127554435636435,2.2119459268739448,1.8642828751776503,2.17393968108123,1.8224010826288335,1.4587840010421342,1.737002822758958,1.511316826004805,1.4391942693465882,1.3921501274801016,1.4279150462064005,1.4340694301222703,1.1269598744039477,1.059776134156301,0.9049411765712123,0.875051010837918,0.905347102461697,0.8657908359476221,0.8305451047856185,0.7591192794718244,0.7787773200885959,0.7580308580124407,0.8286228783844084,1.0130570915845056,0.7735867044476836,0.9144180125561011,0.7518376660381654,1.0095313330522564,0.9000760299816776,0.8596404892890596,0.9067962864192144,1.0292548757659328,0.9236469762887042,1.0698190055977683,1.117410616571689,1.3901298477290145,1.185102169837546,0.9499030759503498,0.8562629036269394,0.9337214440631102,0.8589034037915713,0.828604991880322,0.7696862161883766,0.9717738309125488,0.8099385570396748,0.6808387906665632,0.6490428621734922,0.6806224664945028,0.7176878682174517,0.6815216574613777,0.6684120073248107,0.7805142792949725,0.7527007838608153,0.843187161940841,0.800479829884874,0.8615422403153307,0.9728287557828666,0.9631389665386075,1.0801176330208755,1.1227028107628725,0.9839368317256313,0.9460471779508693,0.8728322162906321,0.8149033825246196,0.6714650153093188,0.6583931721019673,0.6250608156861733,0.670812768294387,0.7540326038240197,0.7342541157047155,0.8580541820553822,0.7112938701542089,0.7073610500463192,0.6281502856867248,0.6045026743582977,0.5662159306509738,0.533205767947452,0.6347421139411576,0.7824824381459594,0.7770777896261104,0.922979422961502,0.9720505219640417,1.111566303665107,1.2029666471186131,1.204081543300033,1.1076491327372875,1.1014208937846681,0.9582627065244146,0.9622490804097338,0.8735510732326065,0.7454593442693437,0.7905512898225034,0.8267520661350651,1.0747182154470991,0.8287924115663419,0.7951730233314358,0.8675726921175374,0.770612136432328,0.7578790175081355,0.7253846521567495,0.7344308728471651,0.6640350816813742,0.7245454076235768,0.6683353409559014,0.7411012812480511,1.25551157694731,1.1005587751217532,0.716017325690029,0.7124952782819443,0.7413820315574192,0.7440160850213638,0.8389878077363321,0.8484532567881932,0.8291702875855566,0.8876829927948028,0.960135731625566,1.045533661628014,1.074404207252104,1.2076237620816401,1.3722786834690075,1.316423982197818,1.1804857056190334,1.1135042085233804,1.0097218390231208,1.048766641367175,1.0047809275060822,0.9722889410936272,0.9171349737686517,0.8309288978490261,0.9404650446152091,0.9757998178826914,0.9918736760855936,1.0762702752086,0.9945334575986748,1.1461194942513828,1.29334540813935,1.1869049325631726,1.2055865435905673,1.0381427797668457,1.3517477067955812,1.5278799157168708,1.474899358868063,1.6620171596812932,1.364988145328641,1.3539951602774036,1.3425532947857002,1.3676882537939772,1.686981377064134,1.3641361848735933,1.3800500961517068,1.2013329706124023,1.175688485017761,1.0671640195520395,0.9756774831225252,0.9474581891248434,0.9028374922296968,0.8702308231739289,0.833878249581296,0.8055708886233197,0.8428547848088999,0.8233349856565255,0.8475782851594177,0.908442576571827,0.9756596019935472,0.9160970646894067,1.018637322914922,1.2351787735810495,1.1951265409736924,1.2283973251724536,1.1488384509441154,0.9927237703951343,1.0121540735133678,1.15477321862933,1.4785688038842004,1.4096599753381998,1.2075960172381972,1.0899076914578316,1.0686092857550356,1.0630952863849625,1.2006703631682079,1.222192161186153,1.1202412237105723,1.1897869025856735,1.3517365633909366,1.2729893663553367,1.2414013993690274,1.6359903952435297,1.6530201971725778,1.3234315197329405,1.5347668623067616,1.178613153237979,1.3601797590231808,1.2116392385854429,1.0565861611696605,1.1172792801956062,1.1032776537294289,1.0843120455069943,1.0236858085119298,1.0125357936739583,0.9626551723749294,1.0252139320719345,0.8726448354171064,0.8487129932200064,0.8732449217137241,0.8431019305378527,0.8485452109197318,0.8858192075071801,1.0039643589223226,0.9354744508367454,0.9591431152329333,0.935280420729344,0.9248465299622453,0.8484656282423756,0.9350140852436213,0.9598921486671657,0.8674471793102577,0.9273707668744446,0.9657574247841673,0.9899553153754349,0.9116054664263538,1.0850808114593877,1.1824444707012953,0.9571627847836506,1.044537127429432,1.2915266540680364,1.3157809198585593,1.1830793617090682,0.9798192841099739,1.6442724707507563,1.3685948393338498,1.2688429389507514,1.1576958753198703,0.9330341098885554,0.9938517094123316,1.1784703254930957,0.9095791655095309,0.8758537888954488,0.8561977217163471,0.8788004335110959,0.9578770545860275,1.0539939108474385,0.878506278388575,0.9404066415729757,0.8932232044572536,0.8077617453673451,0.9198742775369645,0.9656014214198166,0.8399954365868612,0.7901266040814099,1.0189061826452623,0.7669616121419408,0.8840382120115522,0.9127870526286498,1.41256129112714,2.4671105439245204,3.827797561849624],[0.774364740745846,0.7631206316758793,0.9551578061766153,0.7309926619848645,0.8146090772172561,0.712338119327539,0.719211778978727,0.734427277979638,0.660197133033774,0.6140198260098589,0.5982995069075093,0.7266730040972103,0.6890496189985156,0.6195909410388499,0.6900085191792877,0.6924384977853494,0.6949143400335239,0.7221625799826442,0.8179775216658622,0.8271787169674897,0.8407354559724318,0.8034229288791224,1.3981551472212133,1.2534431893120188,1.4327548387173714,1.003723815245527,0.8906499168630594,0.8308243808704718,0.808690559283566,0.7875683244334531,0.7234801098544829,0.7959724134746335,0.7963051927980259,0.8262986988866363,0.863317398270567,0.8224863418872707,0.9292739175223871,0.9507522652350994,0.9081147332370502,0.9698249064903738,1.0164957256450537,0.9735929080072168,1.1232641438708966,1.327156372883542,1.3080237978744222,1.8258732280851082,2.2649706515647114,1.5730613398095894,1.622814277074364,2.254812659221679,1.9054464118958212,2.2330658246777397,1.8841262176586897,1.5402022603229206,1.8087260924623854,1.538037923962258,1.462212532132217,1.4519329543513697,1.4843416683628723,1.4706252477685864,1.1518121720528678,1.0934720964441302,0.9261991031942058,0.861479909375356,0.9064832217319538,0.8760932965978557,0.8259744251627948,0.7774683488550841,0.7896898837939968,0.770814033935174,0.8338595341386644,1.0109540482165087,0.788360596813737,0.9071432148075754,0.7599364511909918,1.0291779575449462,0.9262456621081205,0.8961293247120746,0.9482873763370525,1.0529836495914062,1.0157493946930753,1.1428691419954349,1.2550945195155603,1.5501177762412752,1.3296719504514296,1.0758136589182319,0.9379397048592193,1.036576718520399,0.9109700235643798,0.8882214143299432,0.7997063648490165,0.9476571624278455,0.807170465467684,0.7181701773982644,0.6881366277188535,0.7019846049961241,0.7411070877463157,0.7495939263148885,0.7639359472759865,0.964971209614683,0.8847607318344042,1.030027903956567,0.9563108680628082,1.0462050738966782,1.1609688968323408,1.1318337483427388,1.3000407707792991,1.3709055336510143,1.2350358810444904,1.1750656111120916,1.059689111282277,0.9957481864370299,0.8522715600759467,0.8280325193791109,0.7172830073994795,0.7661917962028633,0.8251393527170412,0.7667161229723548,0.8621355355652056,0.7427468184724441,0.7313177073050282,0.6767472051118687,0.6649478664326548,0.6396438275899357,0.6269554227755353,0.8196751175425816,0.924482863060345,0.9803298047893042,1.1555614308297648,1.2126078693618683,1.3709587971519128,1.4704098155363794,1.4621454531197464,1.3610250221755549,1.3378499185222719,1.2045057189438322,1.2228354507693175,1.0785746336319042,0.8848124147887997,0.9104576860023958,0.8652323084824193,1.0760603277699126,0.8573317146524971,0.8668234341059656,0.9425216329626922,0.8625204086365531,0.8615135507599877,0.845737415388719,0.8946356578222514,0.7993110397452985,0.9029916540253488,0.7633087356161621,0.8721807360776008,1.3426038983857804,1.285536735550149,0.8764070266512658,0.865575694716092,0.9148508516738675,0.8863982892228947,1.0110810403635144,1.013230993990275,0.9621446590581451,1.0087591719559865,1.0827620821963992,1.1439412652265433,1.1515527401582617,1.3401822443897355,1.4634742601184423,1.4574929753364352,1.334524070727399,1.298368181213055,1.1815439541349004,1.2325552433520015,1.187248040404817,1.1433919907239178,1.0957008107331712,0.990917592054844,1.0880093033031464,1.1261621057668614,1.1479964424120455,1.1829126733077435,1.1862716320888158,1.3395536819891238,1.4784397325012668,1.3550947039262349,1.3127477372736105,1.0971087103250523,1.3219509739940498,1.5008357991668726,1.5257370310374618,1.710378872083644,1.4455433321467084,1.4638218902584443,1.4904644962635607,1.5089576591458527,1.8830249854647294,1.6105843761473657,1.6426274867640631,1.5170583086766354,1.4094126671329552,1.3729571283142448,1.2267627824813387,1.1780605974418212,1.205594163090515,1.1595399137934037,1.0499787233638473,1.0383061108972367,1.077830269815909,1.0164397733438244,0.9558841274896827,0.9757308571960026,1.0259413995716666,0.9506575914441416,0.9937223840277597,1.1775699444533523,1.1414749043907395,1.242158391913609,1.2519182010696102,1.2027836792329039,1.2030676336993342,1.403924737995108,1.5115620502944518,1.6060136803636549,1.2866839800853076,1.3872324676567063,1.4010045185723103,1.4087948620190613,1.5595340393487658,1.5892831196175596,1.476489905386474,1.556450489183924,1.7122856785077185,1.6778475871198144,1.6186116968785744,1.8874394872665403,1.9861801567894102,1.6902054525005255,1.8561235403978216,1.5533114831876884,1.646045503087016,1.5360025328432338,1.382427639851031,1.372576500639428,1.3816447583121312,1.2838292143433052,1.2779437755260032,1.2285932916389013,1.1534604110525102,1.1918308636918304,1.091244447742088,1.0352284491435642,0.9920308608560956,0.9758623739307349,1.0322227323267197,1.0132736459279734,1.0886631116588614,1.0525059256304872,1.127493477116916,1.122624684707207,1.1854480804821346,1.1368109638340533,1.2295924907070743,1.2423631747671442,1.1293694392514233,1.2598080768204662,1.2927847292885468,1.2768406503272962,1.262021329826895,1.4184755985389057,1.4547251499113332,1.2766044226049251,1.4209300871819475,1.5628470260785459,1.5367939307050527,1.4378266581762964,1.2523389076223945,1.7775503284811456,1.4871202415336924,1.3110372416809088,1.1612392075171059,1.049537910664124,1.031601837531187,1.1243354052676897,1.0274115720693513,1.1974118568763856,1.316381179251753,1.2610141307162988,1.224877648032482,1.3040032507431576,1.0992096727637672,1.0926391162842233,1.07565147092911,1.0217778954831975,1.0418634856055566,1.0661800514756634,0.9331477149329892,0.893913978709096,1.041845358624404,0.8388325137624549,1.003335094362959,1.279685440757097,1.7455349424357174,3.076266160003336,4.637491498575234],[1.0605072073575925,1.0014316560866166,1.1092518674953566,0.8773977534693591,0.8958872393240083,0.8237559949026259,0.7892896577588718,0.8106067198511115,0.7289311492977447,0.6578736260867657,0.6440178373207087,0.770350686980585,0.6978718256918691,0.6409187218986242,0.696364665856502,0.6858808459565625,0.659274089797287,0.6874474069283021,0.7798594736602108,0.7830446394924189,0.8349416666442541,0.8233224887234315,1.3967158597140243,1.2985572668357035,1.385082776671993,0.9672399029897745,0.8544066982120567,0.776746442139345,0.7594586864807048,0.753010055268575,0.7098074920617071,0.778411095565921,0.7908311488216867,0.788944832444066,0.8309022529112028,0.7777027286194842,0.8862066563708523,0.9001237470395923,0.8553057755692272,0.9295432513579833,1.0125085156712148,0.9179039510711767,1.0886529655736987,1.2851374985803574,1.3736904581125815,1.8924194133675183,2.3445109204569774,1.5895358222971814,1.6429307888499718,2.180377417556158,1.8632296372355137,2.2072830477361967,1.8786828717969455,1.5080069097147148,1.8247009679372788,1.563538006527833,1.458586870888341,1.4180167214647512,1.459700480222972,1.453077911715303,1.1177853099094524,1.0517082348646904,0.8854144491449155,0.8463984598062197,0.8932241134854875,0.8527440082879435,0.8183903395822103,0.7336119810352103,0.7713699903801783,0.7545284846033103,0.8416426079858428,1.0621844515670529,0.7811398623923186,0.9143506582175556,0.738568120418661,0.9937242374320117,0.8810952943703104,0.8595562315556503,0.9095781557987596,1.0143379139116009,0.9669790035552213,1.1171542159372538,1.2156325218655466,1.515646759192545,1.2674335697199963,1.0061797966014414,0.891026046332268,0.9980371246901583,0.8628051464877697,0.8590532719501084,0.7783829617786846,0.9554604817229436,0.8004694103923448,0.7157542620183193,0.6946939497881764,0.7286308092329514,0.7767169491061832,0.7671924824230246,0.7873736900716316,0.9929639158927278,0.8859812007645992,1.037368162373374,0.9516621495192843,1.0640980919646168,1.1558808995006122,1.145154070075694,1.3131749069642398,1.3707574069792023,1.268390190483655,1.1932164000986931,1.0993923756800084,0.9857751356107494,0.8440656807749769,0.7783994043555843,0.6842888171501779,0.7102787326016893,0.7671305040272631,0.7249743546493482,0.8232186615700178,0.7065635617153663,0.7031773407773393,0.6539868937050682,0.6333318419499991,0.6056733830771417,0.6300484998548664,0.7614314521092942,0.9190642449345527,0.9557688697956298,1.1369227783168783,1.1885677061725985,1.3457303996539258,1.4769582053451455,1.443286438198646,1.3453334467190705,1.2846683940566495,1.1223546570976843,1.13392454567585,0.9671358529970441,0.7919791756766336,0.8220276358652683,0.8187651432877887,1.0507844331656697,0.8279016562609003,0.8068427455533553,0.8856467777077908,0.7980956321859293,0.7969100853567401,0.7978823264071118,0.8610254633068459,0.8025432121463857,0.9394437783614523,0.8386195061536738,0.9477135171719003,1.4126178615193234,1.2956799785018998,0.9273290390760441,0.8711935881579406,0.9366913567611898,0.8706273772627373,0.9992120348432315,0.9582724518122483,0.8995604190265013,0.9213645936339222,0.9946973364186452,1.0529982732305987,1.0555058731178826,1.2569032356063397,1.3706329941503979,1.3639779243531618,1.2069052364601398,1.2078124533958514,1.0885186294487241,1.1588875941334476,1.1296929965626945,1.0921590336116056,1.060519850741507,0.9547495348208546,1.071743448598004,1.098077470482659,1.1455906527303568,1.1283049290783338,1.158504888809532,1.3309015272658578,1.4619050645480058,1.3030916880827792,1.2628815003143652,1.047414158311257,1.3654163881925137,1.5347273979271185,1.4863150133911165,1.6763705594019065,1.3902362085864253,1.4217173975122264,1.473918779246601,1.508208741010859,1.9320381494070267,1.6062857556436596,1.674043902676025,1.5604165465990645,1.4767088942379496,1.4847353322988504,1.3524413258930925,1.2784576018270581,1.3276682490245906,1.3198859418627067,1.1990382405144495,1.173159682482913,1.2654013908124415,1.2182825013645604,1.133158772912666,1.1650352356504012,1.227005123003902,1.1451417088786477,1.208919085976685,1.3401301417470581,1.3094964032613687,1.4079867451566903,1.4371780474179705,1.3996960842620998,1.4254808052219823,1.6090737750427044,1.847287644326881,1.8561598703343642,1.605790382781878,1.63797358091279,1.641386936989155,1.5803886063367911,1.7894457786162834,1.8209544397188786,1.6575504818071505,1.7109603942779263,1.9095786112589872,1.847034020032841,1.748725406923106,2.0389346922332194,2.1302573969481107,1.8180072797393152,1.88631240956747,1.643754637040174,1.739085490265847,1.645912430704949,1.5102745102735906,1.5034215715410526,1.5535423601996186,1.4166220889568673,1.405003204424614,1.4182426822378238,1.335921367312299,1.3536141840985654,1.2725547131939297,1.24034679769789,1.1853815221639499,1.1775463673947142,1.238843239454227,1.2305940859999576,1.2739135967366,1.2655337363660093,1.350032900346547,1.3529789090078996,1.4183810237919579,1.3425053579560078,1.466235571881212,1.4826518871114436,1.3477712215507955,1.4749552342123955,1.529359170340017,1.501896567807896,1.4543745088179392,1.6598578449188548,1.6867502799762841,1.4746582119669998,1.5952897432570015,1.7806037458427604,1.7012408958749847,1.5846062140187727,1.3867048911848963,1.8738327085180677,1.518109285729907,1.481081660701932,1.3164503403426535,1.2189784416569622,1.1755070279168576,1.2554931875210962,1.1556568779521166,1.271343306896756,1.3796880328785341,1.355260994083875,1.2820427504438863,1.3534199939640357,1.1244343274319468,1.2017537963634524,1.1835500982079312,1.1570076164254126,1.1579958124560934,1.1737372761172344,1.101084602149392,1.0715459173140385,1.1576236519140959,1.0139602200816695,1.1631790869038372,1.475670981513692,2.0333232983536194,3.5044848383159994,5.127429590044068],[1.010024566489589,0.9715579751576776,1.1375286455447615,0.9146595374237484,1.0146430011873777,0.9121815377396592,0.9516927359285485,0.9994050420933982,0.8776597300916802,0.8724388563209567,0.856709555326492,0.9858197171744789,0.987530290376405,0.9019198265126448,0.9797623671587316,1.049441871884502,1.0647844415725025,1.1146720975406408,1.2039519234367124,1.269892308100742,1.3086104830303331,1.2419844361440682,1.9340919063793345,1.7650044590164433,1.8776391496053648,1.4338170185046606,1.336557101632716,1.2413330373217943,1.1924301311832446,1.1910142686782528,1.115656185646264,1.1872744024188655,1.1918197427436672,1.246262981159992,1.2952925287412294,1.2475077450500156,1.3394569149703368,1.3999057531718744,1.3469078527097098,1.4226963030150857,1.482671149747381,1.4395256317066314,1.6319797437957333,1.7899910778126398,1.624276032643542,1.93737549015552,2.392687196560025,2.0001904718505163,2.0255229006402806,2.582966445530231,2.2997188227056693,2.725060354728309,2.39639938773752,2.04625087258922,2.376028641470071,2.1355908689667404,1.9997905536147016,1.9860835743679968,2.049435411995679,1.9186874013749056,1.61584435539799,1.5758479880953644,1.4065456261282914,1.3100354666878002,1.3828933718973477,1.372320143495445,1.2435569193788927,1.2085669112421351,1.1460709735027832,1.10093261452492,1.0996118227647247,1.2300188489563102,1.0968078149924703,1.2293863148058541,1.15875216453425,1.4185005448825174,1.3987191589779082,1.3699153773188966,1.4253257146691016,1.526810293345024,1.4839195793594175,1.6007208983054035,1.710710877376543,2.0288671396038365,1.7500238111966928,1.5105927966080523,1.3999019068846923,1.462301365518982,1.374953119660146,1.3190202974679754,1.2435461241312018,1.3006203763250732,1.1628467529016777,1.0822091850882103,1.0294081542868652,1.0100355144793152,1.0181995242886568,1.0790071186728953,1.0866312971772847,1.23344295531567,1.251489359602302,1.3200216449433397,1.3436876951776138,1.403724161946552,1.5430144468772844,1.4783388753060385,1.6184700494899622,1.664375623719355,1.5214803415688474,1.4563995596615857,1.3238631003726302,1.2911219165516459,1.1273121893046267,1.1448172903345037,1.0515866905027502,1.0899828563890308,1.1684788118233587,1.1430133881722844,1.2429358855087003,1.0966640262107004,1.0471850840709227,0.9963302369848215,0.9643292170050545,0.9288979443235353,0.8917463686112856,1.0955072819089136,1.1311192684092064,1.2454311312646589,1.4085080515498474,1.528159794013522,1.6557725255915856,1.7886925977790862,1.8349384017000099,1.7499614999195376,1.7086195185987267,1.5096639129903604,1.4873743411807827,1.3681723356648006,1.2090443405825013,1.2744916028652031,1.2484315385671325,1.4514287751703943,1.2871731810470328,1.2818065656217599,1.3815267170237775,1.2634972699299751,1.236425538192228,1.2125292061395636,1.2366499041583974,1.099730890992429,1.2023624574358147,1.0478784853578316,1.1700680129507501,1.4727688061797126,1.4241471580806684,1.1812120949762457,1.179704797834105,1.2503945729801405,1.238039824034082,1.3681394352690819,1.3897455176838633,1.3892645879196828,1.419049303728832,1.5084977332712042,1.5499978994558272,1.5470416172794188,1.7682858982954464,1.8685581821183075,1.8269193885502273,1.6865353143549937,1.6742724714445103,1.5552064835703983,1.6360567646555575,1.6096494528860266,1.5671110664972672,1.5024851376196047,1.403520570275202,1.514150325678335,1.586104348450864,1.6160582325160395,1.5853814713514136,1.5917274392257434,1.778098453609803,1.9332725534245125,1.801179142489364,1.7744477881586094,1.5252853532917354,1.602735075175926,1.741499069687698,1.8724999276960475,2.0528483474900256,1.8490978177013673,1.8461747000611217,1.891135807924872,1.8976801345492773,2.27182182255838,1.9245909715901037,1.9283492217699165,1.7473728450440151,1.662234898329257,1.6045905655364605,1.4875287572499754,1.4246604716777325,1.4104598107335988,1.3772401040841589,1.2690124654928396,1.213269054046578,1.2751048931557376,1.2373642419660515,1.1660969566482093,1.187588393015264,1.2485755938212106,1.1758747691123363,1.2533139810055793,1.4023473582835084,1.3560365396435259,1.422369504134594,1.3904394544677243,1.3354616169410178,1.358906654364564,1.50561424648577,1.8793540064910486,1.7638376392054875,1.5837995882905762,1.6156771466586255,1.6422860810683197,1.6324532832544294,1.8677685160029653,1.816165304504299,1.7097552024515927,1.813728561958409,1.9592869936629274,1.8736076142201512,1.8674352000695713,2.225902285909816,2.21713115646644,1.9084318964371656,2.061847831362064,1.7738376752159053,1.9264062051862079,1.8056485146095607,1.6203228887502774,1.651852360754801,1.655365393772457,1.587383347289673,1.5494722438764295,1.4990568286453108,1.448392764750981,1.4943430092107395,1.356603086181836,1.2936390373554985,1.2499459248538762,1.2218145209912181,1.250538623585685,1.2428101851218056,1.2821576315271346,1.261358051271643,1.3193941253286134,1.3234778777205012,1.371696141075149,1.3499042904562226,1.4576598230356432,1.4192940495137123,1.3347764462184613,1.479776357732963,1.4630072025633387,1.4418195262423876,1.4505953390862196,1.609392671258921,1.5841965311770954,1.410672696281173,1.5896289949468392,1.717495790458161,1.5991666731773795,1.491313552146996,1.3273416859764715,1.7875819095692729,1.46194819258038,1.4515371728591566,1.3395129072844751,1.2130935397509288,1.2011491540045742,1.310429803634181,1.1972758988571346,1.2377707438574383,1.3993400287270117,1.386190319487072,1.393048789771501,1.5335326208403843,1.3130603301877455,1.3179131492437748,1.3227127229708175,1.2645313038764927,1.2887546993764853,1.2869584529839935,1.179600239246484,1.1418703044424483,1.2415346831311644,1.0750783093643472,1.185451015326718,1.3639706899373383,1.984444623817314,3.3936840056725797,4.844991160588762],[0.9267582727114616,0.8773118502333022,1.0280235856945081,0.8310922662583736,0.9029626183879312,0.8127404776948022,0.8444891534426548,0.8798852586823408,0.7869224632746663,0.7869608846322089,0.7771376570041024,0.8965591341661937,0.8933856263984207,0.8236011931287611,0.8908082637884693,0.9411508458106754,0.9401663955292427,0.9944085155561304,1.0711371999693953,1.1222966012936344,1.1535685952190098,1.077430713754388,1.815472036558434,1.6227057860431613,1.7387448573108544,1.2858151205589197,1.1923757013775647,1.1087288635735242,1.0693757053518118,1.0642838290956664,0.9996415505163229,1.067410129775907,1.068316322061148,1.1301334587734484,1.1748327617355936,1.1263789061986251,1.2143592082667134,1.2494356280201147,1.1990122035163124,1.2606638014976312,1.3231256201575257,1.2690549404631704,1.4336669994591518,1.5803534924062512,1.4919686989468202,1.9254836601625769,2.3508890694316604,1.8034747409848348,1.800566165439074,2.4156347014205295,2.1289999060299145,2.5377044225488996,2.2176906053682983,1.860031043337196,2.174868543064257,1.9164676001795553,1.7934915211039255,1.7897985162253123,1.8437121531149039,1.6963696419215282,1.4306650757798003,1.40913650007595,1.251264544607646,1.1620367809520502,1.2031132600088585,1.2111284728731309,1.0818969683447779,1.0690624114049885,1.0097288226288823,0.9794311149341652,0.991325585696324,1.115447367280424,0.9872932755040994,1.1103489497096308,1.033695519085163,1.267879334286859,1.2530405384542633,1.2373383377227327,1.2843539886568203,1.3748740623475355,1.3485146043480112,1.465786129863265,1.5587757625141712,1.8590066540938346,1.6026785219082604,1.365784352270145,1.2539546987310417,1.3472740127091916,1.2394703735680601,1.202661976208054,1.1105344966658222,1.1774955532981455,1.0469883976501613,0.9815549273547894,0.936810506562059,0.9205964459524083,0.9278472415274618,0.975712756608137,0.9759245391313244,1.1055471822357792,1.1076823918373722,1.179613921840038,1.2009914155341876,1.2608412593923548,1.3897875427745876,1.3295891476371824,1.4560766424417722,1.5086212686423797,1.3529569307630283,1.2912152815881317,1.1742349421465403,1.1593156693801403,0.9994752567964249,1.012788496645662,0.9370357599597139,0.9807791066610236,1.0672434698580144,1.0100076662628337,1.1046227284375418,0.9886902769059907,0.9452696274251494,0.8973633410798586,0.8604909992558217,0.8203275187067974,0.7865737332621056,0.9734695799174863,1.021777007849708,1.11165704675653,1.2728680373865904,1.3859542989445548,1.5179237372591392,1.6415721038640911,1.6943540697800559,1.5956483660721799,1.5737008017108276,1.3934931656381033,1.3720895123341814,1.2438406986392565,1.0754227686578153,1.1376438283520292,1.1147050865106547,1.3222893194516367,1.143992870909082,1.1408095746133022,1.243649777578325,1.1347873427161672,1.1135948993864415,1.0858624678659967,1.1050510450777022,0.9801047031792902,1.0584441473942199,0.9270264524525399,1.0250876739499948,1.3764697622775035,1.289544416770371,1.0415748345811253,1.047208409307035,1.103835759575134,1.1068919915156525,1.2262307254942426,1.2524187672431664,1.2471196605593926,1.2852994743151416,1.3627316050518936,1.401511554492099,1.4120931293989327,1.6103179373623209,1.6991291765028955,1.683295741799641,1.5511206688237644,1.5411757427933588,1.4274931541424751,1.5098768739652448,1.474969905182936,1.4302102873207436,1.360420642727879,1.2672270562471117,1.3695390767718891,1.4364500830548332,1.4599988539350905,1.4238479396994477,1.4409931578102002,1.625162281145378,1.7660813100231119,1.6429502926887218,1.6243543297293654,1.3730034166438512,1.4432543012735144,1.6358263395365713,1.727086941660096,1.8884090128588147,1.701462487654624,1.715671617704625,1.754846878066247,1.7562273091981602,2.1070412208250207,1.785479028321057,1.7765862014128486,1.5805472285702078,1.4922836918276916,1.4040635138457942,1.2851628858182076,1.2399226047834835,1.1977470541667534,1.1518538241112644,1.0686681724184068,1.0230238866693835,1.0623752999656706,1.0333747738570056,1.0117095363520838,1.054191900220196,1.1215146113342607,1.0575706398548994,1.1620099418798826,1.3605037695545064,1.3057312953978328,1.3302409281345462,1.2641473502255975,1.1499401546515913,1.1604272655818024,1.3043980879860406,1.6155382178745983,1.5583315081172757,1.3235438499478513,1.3403393571411257,1.3703809148645099,1.3963379009073162,1.57856192623226,1.5493788409583047,1.4681442881911873,1.5810349456159218,1.7300914570938637,1.6495160999942793,1.649032297227549,2.0016889994207294,2.0063562938895156,1.6939774036405129,1.9343864064598073,1.5857089514267093,1.755755364157517,1.602449832423872,1.4013081244304177,1.4259247078592165,1.4138054425214972,1.378289616397807,1.343332730689994,1.2923365132905553,1.2444216954140814,1.2935014624753296,1.1420398005249608,1.0849048559241974,1.0714088619087005,1.0424746355650543,1.0472749923453795,1.0599321424271213,1.1339538712872297,1.0906800883191785,1.132178708581494,1.1246078697779462,1.1527768741922357,1.124338801666322,1.2066723193347832,1.184327957107117,1.1022374073621977,1.2236492278355935,1.208354974561388,1.2050905032440158,1.2054512384260732,1.3465206834751005,1.3568728334692715,1.1708208951403214,1.3376811310046706,1.472281644258957,1.4181693515872857,1.3010236266962203,1.115070187383924,1.7207911710043526,1.4092134009710924,1.3793338087469376,1.2740173444656384,1.0665670997503343,1.1073499038769579,1.283484784906222,1.0793870985428173,1.0534384942544717,1.2025603401364984,1.1728688338745556,1.2309266667469416,1.3687029235842372,1.1737558521496922,1.1572246768429075,1.1545964898226375,1.079207089557708,1.1248689579150248,1.1432224503973447,1.031043798647098,0.9891638541133544,1.130590603051643,0.9714944428963713,1.0634884809571383,1.161575534591094,1.760258998294094,3.1055337561045504,4.469609126798863],[0.9984737542955877,0.9463369399534646,1.0002030749957045,0.8565802836451287,0.8391954439838158,0.8202459596161715,0.7971040263837572,0.8114728336200461,0.765705947956326,0.7385109374022033,0.7350013576618623,0.8368701557148164,0.8226225297058918,0.7699235948378182,0.8359624136435001,0.8762939703056022,0.8898574133190545,0.9526413359863274,1.0413429504708536,1.0917592600163,1.1427127670187498,1.0522032596744708,1.8555727427123818,1.6525544657539157,1.7459518627962884,1.2784862773792276,1.1651891711096647,1.0620123902668466,1.0150837358278217,0.9924791823639706,0.9461593767653715,0.988159982796732,0.9964435009644222,1.0629065332995193,1.1026384530125153,1.0674701059647815,1.1302784903055723,1.1768560838565523,1.144175994688812,1.2136156959551911,1.2634149482128245,1.2314185366981893,1.3822180694078365,1.5242290637495062,1.4357611832375385,1.8972998664011043,2.2728627370472796,1.7102206566336648,1.69777668897711,2.3587016469052844,2.068438062880763,2.452767240287661,2.15173249267538,1.7983109542319469,2.0971654143853127,1.82378488345532,1.7084443194049468,1.7226503248893759,1.7695563280435598,1.6089503758591268,1.377873357659088,1.3735472854815867,1.224404875837935,1.1508329860557505,1.1779812698962158,1.192594291040712,1.0615019274140907,1.0336547044518056,0.979319849862715,0.9478606482058977,0.9751566159060815,1.086708369135035,0.9583817724686489,1.0924360762817193,1.0018013758303657,1.2356916880719793,1.2155543489905696,1.1846824705699646,1.2361544531397068,1.3235849995703828,1.2814799237719992,1.398074930431412,1.4711844581853413,1.7533324975878517,1.5253308953356615,1.288598777257095,1.1996327118152428,1.2610682897835774,1.1840807679307648,1.1434097264052678,1.0560977632330955,1.1449211592220192,0.9971275137904133,0.9265632143767207,0.8858340196982919,0.8847584303843999,0.909680145078235,0.9103407138625323,0.8896701237262975,0.986637882349386,1.0033474859483127,1.0702740280346055,1.0834459548710516,1.1132288888144501,1.2469639359355411,1.1854015823219033,1.2950420374124851,1.3312854591338472,1.156861510489356,1.1167816664376742,1.014134227719543,1.028654168040204,0.8932713124113448,0.9066370462540111,0.851626310639589,0.9060589861138787,1.0012710471902153,0.9814581044881078,1.082918577956317,0.9418859805514023,0.9125806685889829,0.8448273005407886,0.7993969616584456,0.764809466000738,0.7316451828088871,0.8592249569330911,0.9665239925370812,0.9796636715228404,1.1095857076236237,1.233670728404412,1.3547453767116395,1.4592444912469384,1.5599954246146608,1.4483627248424853,1.4672221595895572,1.2753158508822628,1.2587314147015567,1.1583762411279352,1.010593130396662,1.0861274236690208,1.099760487714895,1.3271746613830966,1.1287321733841904,1.1040022294562508,1.2059751187451635,1.0752737393539178,1.0460279219292352,1.0026712316503927,0.9878228226193813,0.8799310372687271,0.9240327922144487,0.8397108968276544,0.9474692975569683,1.3064473287405403,1.1666812472999932,0.9215448918508408,0.9375691975682031,0.9845611974918451,1.000950433651633,1.102326888935635,1.1506198382780115,1.1623288577009057,1.2257628576809654,1.303829751449311,1.3663494522867567,1.3976191355216363,1.574457735557913,1.684540839406902,1.6614454108771268,1.5179959737709343,1.484128526011703,1.3628097282669955,1.4360394710892488,1.3847912393214667,1.3329525371342352,1.243529043245119,1.1568974974032724,1.2546200500155318,1.3377270031982975,1.3388954304628686,1.3449711875282662,1.3189674010708528,1.5097286893213686,1.6760754420521637,1.570884141422815,1.5736901779476293,1.3333762399703974,1.415157028017495,1.6274848174429903,1.7107377088857967,1.870199900572216,1.676350858942098,1.6753967356094528,1.6785562537367475,1.6560579646240179,1.9444268931709843,1.6319877325972894,1.5655859193758503,1.3181264280943619,1.2583423520709218,1.1177359344939997,1.035598762591107,1.0116693345422023,0.935392278320766,0.9122439621235577,0.9053237269794862,0.9050001256155844,0.9372727824100409,0.9380900506631323,1.0225547596975832,1.1433668077458938,1.19862321584138,1.1306805226189058,1.269268803684249,1.5386134219836263,1.507274450485699,1.4416181394721233,1.3904641850282338,1.1362783057123504,1.1341306037694225,1.194714577542383,1.4793931560392808,1.4630132782356347,1.1982658350838635,1.0817209285629217,1.0495601745416,1.091682376712792,1.2218809594005071,1.1919272206097056,1.1541200273676286,1.2469118835109292,1.3759185487347922,1.2863945919669943,1.3044406301016014,1.7201806465131944,1.683657479366672,1.3434100339579331,1.714791585059037,1.2601909460637981,1.497029296334592,1.3082821170468377,1.1190461302885963,1.178941301467738,1.1374061233223907,1.1727275001499473,1.103853205122919,1.0679729329490328,1.0340028430705515,1.1023099237794747,0.9505583834451888,0.9344670586295301,0.9805285082039055,0.9600373968720229,0.942201133931295,0.9962263711110095,1.1413253641742982,1.076249270486292,1.086418678047694,1.0613669539684676,0.9879225606512186,0.9166827892301678,0.9543328334695901,1.0001459198634415,0.9384978971182143,0.9433739259260463,0.9617930456550283,1.0195063728088283,0.9183281080654694,1.0345815910191112,1.1742775763381335,0.983055587004658,1.0042760353730926,1.2319286263383729,1.3452031236727762,1.2209890430764998,1.1131268382601476,1.7696665247886199,1.6764359611494926,1.5879054206675718,1.5315520639457252,1.19413443111486,1.2453739317939183,1.5457050501429777,1.2324774362531883,1.1459655076096151,0.8614546767736585,0.8896369365784893,1.0004762293339013,1.1368181954616317,0.9909327870529154,0.9880539572005517,0.9603269312834142,0.8915743599274437,0.9761947602183747,1.0254818883774919,0.9674319336754663,0.9081716513143706,1.0567859485737958,0.9733177354674629,1.0813538564940472,1.0338349026424947,1.490230286375727,2.479648074204352,3.647622173897312],[1.4852705055576851,1.4342191400330702,1.446973559255139,1.2423174391259335,1.1491886504008024,1.189412525833566,1.0856832137434254,1.1189785759797344,1.0441959480971592,0.9319311233555674,0.9329576256537355,1.0412123126863273,0.9774869283552979,0.9090617840901679,0.9678147072457313,1.0132475903811728,0.995406182932912,1.0501390001062978,1.129518407168196,1.2083587980087627,1.2870320187610418,1.2196519108044819,2.0788473136470804,1.8575174895447777,1.8964520859571086,1.3922509949208193,1.2812222557559552,1.158413604650171,1.1221126308806642,1.1240897240952152,1.0659219592188012,1.1469282598340678,1.1604465370438173,1.2066831194218162,1.248389728605718,1.1953534132523174,1.2935311041312663,1.3071348118633193,1.2798862797300097,1.3963294012876075,1.4088899960702748,1.3774980170520132,1.5722006115025413,1.7126352437552508,1.566887036827274,1.9331208698697184,2.311579710234254,1.8952366036741022,1.8500336487239863,2.497555743328622,2.2762104236709897,2.688685445795458,2.390597148430452,1.9666714706809552,2.309965264917043,2.0779058959869845,1.964810919502924,1.9593631131366605,2.036557040912115,1.7963000441008772,1.5473638905653437,1.5501494030105796,1.3936850476871963,1.3214487122976022,1.3539687334997081,1.3700733520034962,1.187706936198865,1.14925313764373,1.0584677085557073,1.0121264913014105,1.0357040733523073,1.1361724889458327,1.0199896848963383,1.1791009854196974,1.0825576008626279,1.3316489829019793,1.3568260638372296,1.3282455722807929,1.3911068677369036,1.5090673963360317,1.4550690180756554,1.5543294665171519,1.6619112035561712,1.9171086800023263,1.6417166954482783,1.4398589595673532,1.3498316862108892,1.412525935467917,1.3365276768408443,1.2956363403134292,1.1837487777340536,1.2618611144358531,1.1063389849601473,1.0659153163991042,1.0301204747453447,1.0332494859791013,1.0595525402588577,1.0913999695788181,1.0910077042422495,1.2110412774113886,1.1900091970808306,1.3051952645582163,1.2703121418568848,1.3357944873835461,1.460567719525277,1.4050391047873703,1.5521469011639426,1.5737037017266593,1.4033906636994413,1.3586467471493597,1.2575903715492964,1.22151112865992,1.0939069825531398,1.0320836244127076,0.9601845048313962,0.9776560327017171,1.0827605922732655,1.0527829408247005,1.1599181508517908,1.0190676510419878,0.9787811141504152,0.9100468284510057,0.8462833984541573,0.857278308928734,0.8873508127781041,0.9770107977143199,1.233655163039448,1.1449621954376996,1.277868059233941,1.4313950698938056,1.528657496739639,1.6839405702338972,1.762128717736056,1.6671473674219508,1.626841096987421,1.395781688497233,1.3593125840931997,1.2141076800336819,1.0574784341760148,1.1528045501544049,1.1823414353557802,1.4686603060762438,1.2370168689462262,1.1920315251572946,1.3180087389682438,1.1805035650237712,1.1324598656910219,1.1120320735475049,1.1377578974694407,1.0798667360629894,1.1684749466828002,1.135312920549001,1.24744126923274,1.5165111883558344,1.3226181268303399,1.1761098577623605,1.1497794161559869,1.2121446736367492,1.1808187927536624,1.2890070580921151,1.2851744728057353,1.291417017778316,1.3394688502392187,1.4600389269197525,1.537768391860508,1.536962214370271,1.7574610160383417,1.8950420076607153,1.8091522134387212,1.6116941008250425,1.6017101346588043,1.4645774495086805,1.585534680074,1.5490038530273467,1.4919101186926487,1.4179392517762999,1.2993709960154134,1.465116008560622,1.5149245989930566,1.5226808858839842,1.5456139447579433,1.5042321273562276,1.7333579634622913,1.912809989367133,1.7824122189300227,1.7918850925044305,1.5278122798614104,1.612346746243793,1.7684083159513042,1.9333842487760815,2.0847692881678355,1.8918232651432905,1.9216365689029749,1.9126027597963369,1.911858020425335,2.2408639703766315,1.831337283592659,1.8209123989622598,1.6140567498772647,1.5279505905563633,1.5127619630756184,1.4457752040312029,1.3881195631067946,1.4364695256067381,1.4730917754831536,1.4472104730669657,1.4749433794625084,1.5826984312306422,1.5746144449521442,1.621345245331096,1.779312811866003,1.8618854648441978,1.7617161018613525,1.8608949213651804,2.16855803440061,2.1360079497206046,2.1099365845513693,2.0965995618952906,1.8521657910573806,1.8615269353908719,1.863218335728985,2.175070364243714,1.9958796931587455,1.7075662363982138,1.634796648798438,1.555845666650573,1.544451753728659,1.6522524880314535,1.6430689714259537,1.6098743066949386,1.6297329563711762,1.7395985805529963,1.665839245599156,1.6854457953495854,2.0778247271866594,1.9871289156255145,1.688590475095297,1.951906855455373,1.6338490677454989,1.8016838656844654,1.6419996680317865,1.5290477585334923,1.5670139062860056,1.553694858506129,1.5472449678144153,1.508127173556604,1.5517790271121674,1.48974282821767,1.5007029833285714,1.479386687769433,1.5106110238526993,1.537299620309801,1.553146813949773,1.5879762030419389,1.6360820693435356,1.7309077656603655,1.7377339292012017,1.7896217963315575,1.758777532829112,1.6803534433065965,1.5346567432989222,1.5505899771727563,1.6981429430983592,1.6168070506528158,1.5393577863034134,1.620688627340007,1.7117606089999857,1.547571486126394,1.5999908240997467,1.7773986530341976,1.6353197408651172,1.5134028058207831,1.7245464330915685,1.8483759583270394,1.81222731462299,1.8209998998424484,2.2893407438453743,2.2481688775457735,2.286149384326378,2.120822947753578,1.8251109532358032,1.7775250609695916,1.9937403780932426,1.7718492514974782,1.7821286759293764,1.45964582868433,1.4649937162876823,1.3417459939590837,1.4209154407530502,1.2334459047954436,1.3383763332900664,1.321972112125521,1.360828417891494,1.3163879714224842,1.3598370183292923,1.4861944171742598,1.4288899146193945,1.3415948513830902,1.4369749707107788,1.6171379312920025,1.5849584650699948,2.0208603599491415,3.0401288960545156,4.178206863496535],[1.8948758976894389,1.8729528443145222,1.8165805331646043,1.6391324423148674,1.5147073576332477,1.5694903682748294,1.390455881344632,1.3517939827531182,1.3622751676240126,1.2065301857154183,1.2031862934139979,1.2456919148365604,1.166902199203158,1.1262863815051114,1.1467246601775694,1.1553334309840484,1.153401608564484,1.166105851317354,1.2131513923999682,1.2813049671186136,1.3642752811841081,1.273379567970951,2.181132862795718,1.9191518482444863,1.9554617527458684,1.4610185864511698,1.346842580046547,1.2389386025425726,1.2157826932072082,1.2154513022078328,1.1837560177186417,1.2343331568540221,1.2506716084508587,1.2857974652325443,1.3111452061309425,1.2700594036703223,1.338429353535848,1.334327440236328,1.3179144463862846,1.4058487787819738,1.4044453188887422,1.4149193670970117,1.594993138254368,1.7089930779925144,1.565521614877336,1.941711129064729,2.2845635447407147,1.89420392567963,1.8096491646420239,2.5324056191890025,2.3017299565141087,2.708278646092924,2.4380850455545957,2.0126894005623472,2.3476427162003466,2.1013336646284833,1.977534683561694,1.9976685440110036,2.0752604445712377,1.842908451902166,1.5909329641142018,1.6075850593397725,1.4659685941973635,1.3964821651411956,1.4257661977700622,1.438643499195294,1.2681704999524777,1.2453322651760186,1.1895241250358393,1.1716201527624321,1.2263805454262287,1.2915781205051668,1.1846088645983028,1.2716673920775297,1.1965475701007762,1.4179296815599622,1.4343614288587454,1.4002665363129634,1.4437482209587986,1.5434410955038265,1.5130599672761056,1.5795433451114524,1.6979414636476782,1.9502312383911828,1.6611237361959579,1.483478466386828,1.3929621484851364,1.4549346637637872,1.3883939670697434,1.3355464231379681,1.2722401228091103,1.3480403295898218,1.2174534518303342,1.1878915556325111,1.1752416742082625,1.2134003224584096,1.2553777158854251,1.242233145000665,1.2456809215789397,1.3648871242639902,1.2687888144771158,1.3541268755873301,1.290292096743279,1.3349096003975862,1.4216141531001012,1.3843889677380024,1.479246168349491,1.4799990753673749,1.3545828510405715,1.3457731174345984,1.3347307057778008,1.2871377694631225,1.2514653779366787,1.1568238563024196,1.1189490050857578,1.107008031447772,1.177501185255568,1.1434660078362573,1.2414913785814623,1.1241112794908124,1.114989392167563,1.0883873293397106,1.0206979941761487,1.078254793854099,1.1533409871902907,1.1387972874185697,1.444219039871592,1.2253147603674275,1.2951293991873165,1.3990246715111287,1.4730955156935264,1.5833973308025633,1.7448010390641644,1.6231184098820248,1.6284239959359426,1.4044780947338165,1.386540304145976,1.2698712244446642,1.1516993736008463,1.227803345480835,1.2228882386044553,1.4779001824268065,1.284255675376734,1.2561517928598989,1.3823085818244014,1.2473885714750457,1.207636879769253,1.2004525272120032,1.2085495551663414,1.2223575725455995,1.293397897428564,1.318403011625987,1.402400658607999,1.7375563044783433,1.422081952075184,1.28582473465599,1.2610928919649425,1.2909991791566189,1.2462437093193022,1.3100627744690576,1.3120032233535195,1.331956704575088,1.3839066189251952,1.496445975951546,1.5824907914863615,1.5682571220936818,1.8254256411268994,1.9870335963003372,1.8902778566558478,1.6581559262395227,1.6383808512970781,1.5002078068318103,1.622969428919382,1.5734376733824869,1.5046351445627884,1.4145764722853544,1.325600827375459,1.460888341340551,1.5198544203831588,1.5090274657534242,1.5475734393058307,1.486348039037778,1.7307375925870934,1.9463580579766364,1.8191788620033704,1.8405784191414296,1.5579214489750906,1.6318996923583207,1.830949036909236,2.009018685215291,2.1604235009032435,1.972053618348545,2.0053348292961313,1.9738979534164312,1.939702611956273,2.211485697424137,1.7629237049435087,1.6646618886362718,1.4133674057222303,1.392574134291148,1.3325007719830138,1.3607703612468505,1.3860833569262376,1.4298910446683049,1.4527684314877871,1.5717923926504898,1.7672819526977315,1.756497029302117,1.7122109284626004,1.9337549445039655,2.122563408685585,2.134860300085908,2.0751837963104918,2.240507096473067,2.4979739946061064,2.4990256163528763,2.3300132427311726,2.3563692350171612,2.0409020198288528,1.9748505395140696,1.7987272291204963,2.105227588004596,1.8945693429728925,1.5860451630804988,1.366510323006214,1.2405278445753178,1.254195567640226,1.2672693616029256,1.2490416070048354,1.3090278034466298,1.2782191383376729,1.3219599665351336,1.2363283041327788,1.3155541550698975,1.8257795949918674,1.671931782909993,1.2877216497766877,1.747515545790393,1.3243607203584,1.5583673750636287,1.3796187783456946,1.2953631356199564,1.363116801188166,1.3567868392921067,1.4107738424116547,1.3573924433805151,1.4298146691472537,1.4159043193091496,1.4574131413786453,1.4676359651259367,1.5343693997226144,1.6113802739875813,1.6783893773618521,1.6573263075731532,1.7437765982639273,1.9433015982125252,1.9222415884484605,1.8939323975795344,1.8357424615917612,1.6268797927591858,1.4456990892631905,1.3843348190896674,1.6094707969169695,1.633029721763012,1.3708532086230492,1.4723036747740081,1.6532028580157514,1.4081691242470333,1.3392302186221072,1.6377741895686575,1.6632471411901977,1.270734664278243,1.5340940279308313,1.8221258996883645,1.885516151333282,2.1450975408048265,2.4536315154084845,2.5670770735315056,2.572186237435517,2.5642495076944574,2.25844224491925,2.2306806492542397,2.5074747054584825,2.337130545239277,2.4224240391622773,1.8248832664752825,1.630362177340506,1.5139064515611527,1.4000337701604204,1.3749111928615267,1.550349672253361,1.4225456344241878,1.4599655428817808,1.451621111079994,1.5595576154690631,1.7161314675202979,1.6497987900579065,1.5800655793267175,1.7761322381123408,1.989666479674594,1.896804271787761,2.1049986418808833,2.5456006407079497,3.5224907506478433],[1.0445530411668165,1.0307958920273081,1.1043327230807995,0.893482892245932,0.9117487090862827,0.9479691036401259,0.8817790356077985,0.9088202908314731,0.8736732726203275,0.8395086685296272,0.8425798099681605,0.9131411038811592,0.9304114523777931,0.8537483942603081,0.9441403422543572,0.9778557527812609,0.9810603494292224,1.0712474099758695,1.1778701020616757,1.2152259400143341,1.2926499330990195,1.3132485618569045,1.9773514994338668,1.7804437393885542,1.7369799156364158,1.346852044691419,1.2470970172640197,1.1369553516119342,1.1272606635369582,1.0792765754726497,1.0595735597951326,1.071007131673696,1.1000341130720446,1.1329443701561224,1.1719383595165318,1.162684589572935,1.231044324489652,1.273754062370027,1.2811878211251941,1.4093977811061236,1.3857158166556744,1.349507708136222,1.5176411531282321,1.6463816719903996,1.6737067096375462,2.10551776734566,2.409588521245537,1.8603895147726968,1.8112091556304666,2.3951134159054055,2.1629101231612156,2.4284188431498324,2.1452470206112806,1.8148128852063246,2.077937764537839,1.9278548485348044,1.826909064503813,1.827503350681552,1.8918659061716907,1.7387326324338925,1.5338861737158718,1.5062604553539156,1.3781169528600499,1.388706287263468,1.3712888835074695,1.3379874964568637,1.238773497597253,1.1727709996300935,1.1525194312408737,1.0852657662033995,1.1613580869429525,1.2702941851635303,1.1203517492348547,1.2804688474967583,1.146664841388923,1.3594971184725864,1.31841419989675,1.2842269837829725,1.3105573668244592,1.4277743858911707,1.3996264971661823,1.4493408966868901,1.516371485850862,1.700352292680867,1.4837425547974639,1.3494910436993721,1.2984244372654765,1.3566817555196717,1.270093627220807,1.2488137258130592,1.1767286426954746,1.2864544463150216,1.1461613088616174,1.0702660602865717,1.0212880006210077,1.0251296097535723,1.046903883181664,1.0002793882657492,0.9589708192828578,0.9969781546515681,1.0495076026054835,1.1045322293083435,1.0986192692841485,1.1288811520345077,1.2699940305878696,1.218628613730424,1.3089149306009318,1.284387413947993,1.1319161718499524,1.1386820248422462,1.0570369932429224,1.0292762865722886,0.9164691984660345,0.87682497236395,0.8925986968150923,0.9299802367812413,1.0516961614734754,1.0371143677997376,1.1607783927546953,1.0223958562239166,0.9727887293761187,0.8803941924171749,0.821115206781137,0.7917967662672674,0.7720215582737574,0.8346318973259705,1.0536349099133797,0.9695524865187403,1.0774806945310904,1.1812349296936353,1.2243610313273194,1.3366680115426428,1.4173263628721455,1.364891208469048,1.3450045704461686,1.146586777378791,1.0840062468688425,1.0386448604415786,0.9482692950095309,1.079941461287139,1.1467238547463265,1.4470203389621867,1.2235516794939771,1.1529724762306262,1.2694353736935144,1.1493730522693197,1.0876064144797861,1.0284083414654641,1.0083952295010978,0.9425026706180546,0.9527570314180185,0.9311966533153678,0.9825963951705902,1.3315748298787906,1.06506068475972,0.9524366352832789,0.971635372489652,1.0227525643058542,1.0367397610304696,1.1026737755192515,1.1403986864260005,1.1891372604239299,1.2448641803785025,1.374450615680705,1.5004722112675202,1.4875705279093383,1.6084841822558151,1.7963385129264209,1.6320797692762088,1.4620248987041933,1.3945253401109583,1.2907284464376767,1.3838414379105692,1.353053705136744,1.3123801276191216,1.262621750761306,1.1548250901917056,1.314131185449199,1.3544912148377901,1.374510269934533,1.5234766372777235,1.3163606457236439,1.4928929573596699,1.62749092037447,1.5707101165571389,1.6488899875291758,1.5033095859841799,1.8383856887199086,1.9169882377558696,1.8558131146644112,1.9931322912911864,1.7522801139605,1.7499129275816212,1.6670627412279149,1.6851860269848322,1.8714216006260025,1.4467755543990848,1.436797244180306,1.2135429940366165,1.2476011395021203,1.1787537899779335,1.1552697868051494,1.1124747784456603,1.1065162388114762,1.1292428528891594,1.1141475608866862,1.1850329270961342,1.2537768625003556,1.2034647174277446,1.2635807137281185,1.4190587294703605,1.4595843636267627,1.3334396846968202,1.4498440936755976,1.7486618430616043,1.7734052232346709,1.6947866658481183,1.780693454086337,1.5318820528481722,1.5104017186722576,1.538483946031945,1.862343539859503,1.7767170869130675,1.5700091542203125,1.3616017115518846,1.235476360474647,1.1980417279929292,1.2364318912626877,1.2614751885114897,1.2595711617025078,1.2096227104586892,1.2970962477167252,1.2074581466515384,1.2225893602444704,1.7416379436714398,1.5540838209823506,1.2755329634434605,1.4398198423007618,1.181504253202934,1.4035053811539053,1.263761121989419,1.1906065184953558,1.2966506042090886,1.2658361792361055,1.3072258431765675,1.2254727597573376,1.2598260949881752,1.221021777106397,1.2507033416726436,1.150599129828621,1.1521054790112706,1.1768679751381868,1.1721243870204114,1.2084529007338751,1.2266068604629836,1.3089242999433137,1.331730297482145,1.3570606302559725,1.35085407952783,1.2587924319992922,1.1690124184883852,1.211749667503147,1.319092885188868,1.2673618337477555,1.2001569705478201,1.3170370336999335,1.3819625044866037,1.2245179817153025,1.3595620784627074,1.582424897297667,1.4385624428412196,1.280912935113496,1.6656697988336566,1.8232460014089535,1.715936358427963,1.64589243904934,2.18688836388976,2.039474056959647,1.9725641838272507,1.8383669547472892,1.5743816483478001,1.49803378859188,1.7668042846660947,1.6165901091067547,1.7122508127878608,1.3149957629712328,1.223959704451652,1.080676141559825,1.1334818549019434,1.0249304194921782,1.0981493188314462,1.0545514488151961,1.0199501594526512,1.1111593872044332,1.1399900249027108,1.147466482940237,1.0659958869279553,1.1720154050386205,1.0759520124962962,1.254519497897083,1.1389171793888104,1.4528549281226355,2.1284139332582845,3.1887129890042996],[1.1334501480379977,1.084216979917441,1.136573644548751,0.8704455097438125,0.8559733813106747,0.8741972040779953,0.7650286806236833,0.7829639286703631,0.7358057437761437,0.6836794495630922,0.6934961251882197,0.7916727738454373,0.779462032063921,0.729174572974281,0.8173349378167214,0.8412930118431552,0.8841222660408775,0.9959846306096117,1.148943558864531,1.1703842018766852,1.285886533915397,1.1664035302442926,2.08572759818693,1.8659735434014906,1.8886148457181207,1.4062907553796449,1.2493415650232675,1.1067788746198837,1.036909921694704,0.9545020965439831,0.9488567796418782,0.9269129268340226,0.9451431942821358,1.0294849822268237,1.0656210072146046,1.0646272531645093,1.0955678184961866,1.1718737925713993,1.1493938213212314,1.1996909639347773,1.279997575099957,1.2880675088443794,1.443278917035981,1.588470075551917,1.476442622904518,1.8850932931708737,2.182069620151054,1.7227410081050705,1.6908327291518694,2.3428604399092965,2.0478993253182707,2.4143942933632996,2.145338113096251,1.758657215142998,2.041097987306972,1.8103401927669902,1.758316735269564,1.769425552181466,1.8130206866381893,1.6210308911952338,1.428853748654733,1.4437397507150918,1.301123947649325,1.2874189711144544,1.299664137073289,1.2942825082970808,1.1914601933689941,1.1260738738353195,1.104137476266364,1.0051823121828696,1.0478765636294207,1.1529442531121594,1.0355251611599297,1.214854513918064,1.0665048334606737,1.2967528275340547,1.2905675840405773,1.2252730001151335,1.2515738359922128,1.3457095622921251,1.2660506159076912,1.3374872896070922,1.383276391625618,1.633013179357442,1.4173939298308036,1.2306090073593923,1.18434287460109,1.2283079818562053,1.1991672517924326,1.1265843476367239,1.0884945366427798,1.1900271361568155,1.0325854866434176,0.9336440505895094,0.8742385548616305,0.8705981772807087,0.896165671442123,0.8510778762155405,0.8133733798467313,0.8498309268602432,0.8801838301522137,0.9407568420683314,0.9344848231630771,0.9461750343468779,1.0578431068810046,1.0373190204287492,1.1347552649306667,1.1169632413927757,1.0043811709729236,0.992376442768,0.9434406201688238,0.8724226839865369,0.7613358935041016,0.7517586014958652,0.7788542006415005,0.8672308819862454,1.031508261346361,1.0682489682344036,1.2009925746653556,1.0050127521778998,0.9638056173870161,0.843795083705661,0.7939820686418463,0.6926165015474898,0.6305343449899439,0.7071440500589254,0.9219170088747819,0.8061160146865086,0.928003589192579,0.998157675369146,1.0598266256396587,1.121192421079102,1.2140588830479746,1.1429371201010174,1.207986007549763,1.0423560064690025,0.9875149147997361,1.000818471690848,0.9433058881049391,1.0807004343505529,1.2151978756142976,1.4730971564484956,1.2369215341781838,1.1537848123284562,1.242692648709242,1.0657097954453616,1.0101524674232958,0.9092845973514359,0.8612013225017038,0.7762741076103739,0.8002106912006814,0.7954313573869779,0.8518513811840236,1.2553378424195414,0.9587999966419228,0.8146692281002678,0.8238556421689949,0.855210496218284,0.8815085675170592,0.9392532475228668,1.007418566314558,1.082026046369289,1.1923299367613955,1.2679865096860807,1.3475426137987851,1.4229407222132118,1.5364731965252378,1.7198176197450497,1.627150973585967,1.5153203850486612,1.3758211676618577,1.2786445598182896,1.3108291315428178,1.2426882955255745,1.1918451610284069,1.0763999127887356,1.014257615252168,1.1177437325279145,1.1989238625012522,1.159004832931691,1.266117132904868,1.1159622915175624,1.2805675784839174,1.4495507410567328,1.4047167197649106,1.4876917336928492,1.318976390369121,1.4251936813139694,1.6291974574757015,1.665091331100088,1.7903511760498958,1.5672433557997307,1.5240499635860898,1.4674810846824236,1.405275214542987,1.5963194324169514,1.281402948200191,1.2431204105873035,1.1033244809401932,1.1777665251978993,1.1463328524127059,1.1373294043700686,1.102995651856711,1.1645982535117918,1.1883583102098065,1.1884802649320212,1.2910665565625472,1.3410702099901024,1.2821708887412357,1.3397854408356578,1.4996127733410252,1.5224423056690595,1.3972420908806251,1.5156583153758458,1.7642843805605293,1.8160324713666691,1.7132978353817483,1.7716012934840664,1.567886535472495,1.53582113478034,1.5146830562465754,1.7981817699783291,1.767637057104117,1.7238980771219954,1.3800444705259016,1.195940637428618,1.144058312982474,1.0858251768569194,1.1738071859112247,1.1739907172384751,1.101894649331783,1.1745826774094053,1.103564086402773,1.0802174379894147,1.489338346601428,1.3575165499788846,1.2254704177956157,1.3390718359089795,1.0750236357115286,1.245392515686164,1.1086865145922475,1.1248180773641123,1.2122260149043995,1.2146620288491878,1.2369046007436522,1.1499968890880883,1.2469794123646125,1.206658745348189,1.2355146068188345,1.187413485433766,1.1956084728126344,1.2269540419842244,1.2283068246149185,1.2675573208451687,1.2799575549921773,1.349878055284319,1.3816715301505496,1.4037436123909675,1.4030792970669326,1.2975925830823574,1.2213591824803858,1.2603066225601685,1.3385791385653645,1.3319485265401187,1.2267159354860773,1.339673594950339,1.4111711533494988,1.2712240350413146,1.33898838119774,1.569573922845136,1.5096986496017555,1.3203954936610858,1.6152698391302982,1.8388559509174267,1.7617799147477184,1.7005559276508275,2.0215155282316553,1.9078779151194656,1.9059538221034105,1.8620495970186817,1.6753544215075413,1.5953048682059578,1.850638602910684,1.747686320336919,1.8409461192252659,1.523138135572097,1.3371871616254245,1.12768473294309,1.0948083252456497,0.9617694033096563,1.1203786923960768,1.0245044679882327,1.0057612356402839,1.1093963003972835,1.1504440666685487,1.1665910787773632,1.0818481207862172,1.213495051958265,1.073919083181194,1.2669886022810324,1.1869993328674198,1.4800596715105367,1.7760398177195889,2.6901906397674122],[0.9114769800057744,0.8681855639011435,0.9476116641503254,0.7268134585395906,0.7311360167656997,0.7172918453693852,0.6418944658159237,0.6502778913333777,0.630947894848867,0.5660971851685341,0.56653429544334,0.6467787054437498,0.6359348874591971,0.5973349601916094,0.6789186873399321,0.6774488440832275,0.7071576394106729,0.8099724624930377,0.9716771304785552,0.9492990189852442,1.0379682929175633,0.9175458729838554,1.7665324345752866,1.5912546167513577,1.6697161928550537,1.2005157146049228,1.0162883746911058,0.9055123319023066,0.8393074957508908,0.7610088015223212,0.7691575621485942,0.7448652125195108,0.7649976652661488,0.8268381507439109,0.8568513927783801,0.8552969729057827,0.8862153848422182,0.9501477765164306,0.9225632706485962,0.961995319784874,1.0486075046873142,1.0462108565403565,1.1940352152896674,1.3928237658896871,1.3359041352792722,1.826372772903982,2.1854335874577475,1.558090219285415,1.5753604778662267,2.2362289614015034,1.865835892546267,2.192272238391869,1.8879248677186375,1.5354931843834339,1.7933582443413614,1.5509690506957754,1.5049631566900645,1.5019674992027752,1.5244798734525429,1.42752673834337,1.1907016638105796,1.179429090787233,1.0467277656521503,1.0350789066539565,1.0369836488472157,1.0278720119389289,0.9638244875403883,0.9110555218738172,0.932827847106609,0.8663739999736825,0.9248694093495501,1.08131678804883,0.8936182543987237,1.059886859991112,0.8798557978686329,1.137583826689971,1.0550248774908286,0.9934501018927111,1.0142732673479427,1.1085666324749877,1.0038296738401,1.1000291221191523,1.1356014152162244,1.383268463357475,1.2148448303008135,0.9919348823799177,0.9400628778881834,1.0017399423572455,0.9628179117433951,0.8959433179437093,0.8873009774651361,1.05107420463723,0.8849887742529682,0.7594481464547707,0.7132813422736785,0.736681815839768,0.7835104967102543,0.7010395588208339,0.6575582208113606,0.7076700345195344,0.7045877184217103,0.7927846525415512,0.7575237317807367,0.7708374986126661,0.8840852357548037,0.8943886498307128,0.9679976718052776,0.9674961838456676,0.8626439882076604,0.8544247986697401,0.805058251349735,0.7328210187236224,0.6202541752566078,0.5988167534233473,0.6315525237102676,0.7246512932487901,0.8688796244977964,0.9010978180944249,1.0296877439938263,0.8369317532326472,0.8280953338491349,0.7168034568932429,0.6854065612109679,0.5746753937765614,0.5195681200544388,0.5706032481355874,0.8240016646390352,0.6825587678444321,0.8133557969665857,0.820295371447808,0.9118042084030584,0.9558704107815846,0.9866696909170568,0.9148504759999284,0.9623005200604435,0.8350123384182061,0.8186319374420192,0.8268567425240959,0.7982074506514669,0.8824555214043724,1.0372099997173094,1.2573296932716895,1.0177112903300523,0.9417194893662175,0.9999589654341787,0.8517532697459811,0.8137163752932813,0.728312082656918,0.693230186095975,0.6342640076678928,0.6550344560519348,0.663583172785595,0.7105396559172624,1.1871685457004015,0.942895795669454,0.6592293048149603,0.664826226254815,0.6890174233720708,0.7110356211898482,0.7717482070903282,0.8149550210032475,0.8599997698902262,0.9601671945084725,1.0181873488371913,1.100460097338027,1.1698460856269515,1.2365897462439217,1.4195270801859756,1.3219283155267954,1.2512950484624261,1.1020782876756259,1.0249470805434389,1.0396372707839725,0.9829465052756128,0.9505268624711518,0.8649211861261183,0.8115437055482072,0.8957315620490427,0.959891184367711,0.9212362651384843,1.0803178609386799,0.912300720626213,1.0475827969995666,1.190985979239662,1.1328235470369825,1.219174417224298,1.0747920072673838,1.2934106142726312,1.498939489788382,1.4583952051763143,1.6226068365195239,1.3582699268553353,1.2842741632920536,1.2286454235548765,1.2160947728890747,1.4155339601492325,1.1377647670588171,1.1136502574831517,0.9537721774286224,1.0454830284552892,0.9410295926501175,0.9247258650293319,0.9062259606838718,0.8916014377100698,0.9111108190649049,0.9361656097364869,0.9815822566191424,1.0094713179681485,0.9864856298235473,1.0622432463838147,1.192092524028015,1.2129200747833706,1.1195792245698766,1.2565094616077659,1.482035273523666,1.5207257132453982,1.4306748734526773,1.4174701843889987,1.204831819727702,1.191991850085046,1.2045501533368153,1.5310113386894744,1.5137524586613527,1.4976964501176855,1.1164392134649301,0.9646433462011371,0.945381712919846,0.9243163740688853,0.9838308414070762,0.960998349031832,0.9558054393129571,1.0672585222498197,0.9741907306582744,0.9420466234387617,1.3822424152246715,1.2907920133852777,1.0890737422176868,1.3050466701981467,0.9017125527355982,1.1209394628162461,0.9794743410004116,0.9500535356438213,1.0559200586392445,1.0278104816411178,1.087563720748261,0.9642574098300175,1.009660889506533,0.9967574337683553,1.0461436235244383,0.950351491534508,0.9565080497987298,1.0121422171197814,0.9804834741155891,0.9930809202635386,1.0247037393519824,1.107987640887278,1.0918713909903583,1.095897435628156,1.0862348261220418,0.9988262420992973,0.9408325452613715,0.9791875631595224,1.0189351711179504,1.0019077913801535,0.9389067718904868,1.014725147453227,1.0767260673406034,0.9517941653108808,1.0612462552851936,1.2806643547805066,1.159924788687722,1.0387830371536544,1.3424896262236954,1.545940746502669,1.4309700942761001,1.296854342272856,1.7480853071038365,1.6544659800656203,1.558480030539817,1.541888434266285,1.3245907296882333,1.327258311104635,1.6227117875574335,1.3899182733488753,1.3619805679688974,1.0467746438723289,0.9428149972772226,0.8925119460034487,0.9232137211255818,0.8120266887110653,0.9399751381060676,0.8605993989510489,0.8135313912721844,0.9825263463448931,1.0249638834628807,0.9549578356719194,0.8905255538066221,1.1620347804337394,0.8763971710502084,1.0043611537935726,0.931956567866593,1.391674523813217,1.6404374769286063,2.5917771202043074],[1.1075552288567463,1.0908776167875966,1.1688406105053586,0.959495372489397,0.9629482125077966,0.9146435053994385,0.7524049957909436,0.7328351692920795,0.6982273658026663,0.5671577756017683,0.5535236678552363,0.6259717996849951,0.5778015187761039,0.5627288178590769,0.631926526362835,0.5980059493811365,0.6457082510435339,0.7709837517185194,0.9757956007813684,0.9401164140280526,1.058048498094945,0.9158701272965515,1.802833065788304,1.6347312245010168,1.7241843705835447,1.2538575637599825,1.0247902499235333,0.8796080708609896,0.7801506848168351,0.6608689878463303,0.6995210451476656,0.6371176563307661,0.6594488788871216,0.7327999924129265,0.7566576851461064,0.7778585444883341,0.7787399910278209,0.8957052879211291,0.8616472819600854,0.8886106849953331,1.024690741001897,1.0414901140196418,1.181973492901332,1.399573132416215,1.3194421769548235,1.8040470451088189,2.1263726691494114,1.5253689567494715,1.5615838648012323,2.274720934535281,1.8657836321182995,2.1283172119248213,1.8551283341106974,1.5048257796167572,1.7269507623216827,1.4861303122464595,1.4716648560339691,1.438258611502246,1.4545724289207365,1.4031216159098656,1.171074465106737,1.1605060385107095,1.0177026942141538,1.0441169874713039,1.0388257332384108,1.0093046617935102,0.9760519039311311,0.895599466950685,0.9401448061335794,0.8486108935696671,0.9278166799562831,1.0715626828881515,0.8857677541873622,1.0662903493696412,0.8492196195431579,1.1011769050294422,1.0178254626817944,0.9294665205292788,0.9468568068096719,1.0471218348135278,0.9091502169567607,1.0258490359608976,0.9952546609586918,1.2471150176196248,1.1399093256561352,0.8830077756468007,0.8636228969762784,0.8916524924260651,0.8910937342763774,0.8156593260413566,0.8207356323654228,1.0096952754951767,0.8358957768717679,0.6933512377973694,0.6511998562817718,0.6942883111924881,0.7581432683701619,0.6355820048045432,0.5967086150781604,0.6107224042508813,0.6004682315194284,0.693598976004412,0.6383385564327323,0.6761038923926822,0.7573316683517123,0.8281941202555515,0.9045460995646838,0.8862012837494229,0.8974838040926839,0.8780101841476672,0.8718354190483969,0.673394978254563,0.5891644507598107,0.47534940372664886,0.5566309173433011,0.6590878362857191,0.8299763818632503,0.9291907251974376,1.0745375746751593,0.8286676130264372,0.8267976953728515,0.6814204651195672,0.6667553513828478,0.5403157831028901,0.5236195222343396,0.47579028849422933,0.9584078778299635,0.6810170359698181,0.8225155827298611,0.6978629793796295,0.8163570627869724,0.8181129792608771,0.7811547860355293,0.7075582083078985,0.7451126536831083,0.6350936001896924,0.6509323598271812,0.6586648520888179,0.7160862877508023,0.8377056697338449,1.1230264023298941,1.3337356965495797,1.0563543684552024,0.9333090826962832,0.9747754224974664,0.7804742794141216,0.732714928761888,0.6199620834859106,0.5835796146815186,0.597251896266264,0.6415839995648356,0.7331824126555561,0.7528534956491929,1.2478707521694918,0.8969548273198061,0.6212603594505945,0.5984557768527888,0.6270283334620136,0.6061328618274663,0.6468465263837314,0.6758951730218828,0.7418235850613926,0.8825520520506629,0.9349360977482691,1.014081707528468,1.145703335738189,1.1246675618798407,1.331483066050014,1.191729481093619,1.1823657347827872,0.9514217136134185,0.9021562468401404,0.89768773859585,0.8316556249629127,0.8022126902402702,0.7076651855302905,0.6738704332451425,0.7258127915103979,0.8159459285985733,0.7589403454487486,0.9707998256081252,0.7585630264259343,0.878779880692377,1.0175207413568668,0.9861670005836434,1.1194961103619008,0.9997262659552412,1.210614729830918,1.4834121850746527,1.4230804027619768,1.5709558223426257,1.349481445083486,1.1983334973648898,1.1102661783762269,1.063914612016217,1.1734037783927196,1.0028457040290424,1.0299098857144329,1.0007139832340801,1.1421052161546192,1.09209734422515,1.1032980078026482,1.1009328804951974,1.141144860906115,1.1592066652537143,1.198475688262065,1.2676530265788357,1.2674976422531534,1.2456263909846934,1.3125380466990624,1.4230835108895552,1.418016035784706,1.3389594251896784,1.4688079373733154,1.6220530889920097,1.676787421876849,1.5825390583157453,1.5266663189824454,1.3735260862834737,1.3584228592430048,1.3227433218850602,1.6526652994358801,1.6317423897780559,1.7756653601569008,1.300247378293136,1.1123282864475093,1.0869161888159096,1.0180338426738864,1.0738262773707457,1.0707775128674153,1.0517399810990897,1.1404258833823027,1.069123067671126,1.005801719410532,1.3241776572390371,1.2441293883994287,1.1829770242125912,1.2939733646921163,0.9837108038370886,1.0875369051433705,1.0308958664886696,1.0988104702557755,1.173334148470166,1.1725981603744675,1.2162755502606803,1.1007629921930633,1.1851884649323055,1.1795069368906448,1.216031869837618,1.192581060769775,1.2099213275689558,1.269749558675479,1.237780771197223,1.247777663025199,1.275211962209368,1.3203501070365191,1.3096020755530549,1.3048162057014447,1.3011769363284684,1.2134964370810581,1.1802170775003609,1.199156810626058,1.21405296006591,1.2400241435540023,1.1569644749922188,1.2046104420762829,1.256050746286745,1.1760228152884122,1.22046936664427,1.4085490861495988,1.3590970445479726,1.2361794808090394,1.4492455264595243,1.6436070780511494,1.5429775007620097,1.429858019181421,1.713477233989255,1.664635720237293,1.6003139876426498,1.6356059938002072,1.530227665258796,1.5622762679966784,1.8025107732699637,1.592439293744366,1.509478880319966,1.381981836028023,1.2064287721379867,1.1499875669367112,1.0756100534037971,0.9785181001362419,1.1635918912929615,1.0476464038276745,1.049461753581323,1.1996042728809615,1.2298256880380722,1.2149791159088852,1.1495490753295383,1.378488593070983,1.0697019421859375,1.1872599777574908,1.251662058105361,1.7959967229698213,1.7360916470908037,2.3959596058097965],[1.5027626272328047,1.4609601709119473,1.4924172520119272,1.2471145493173508,1.1708131831272948,1.1652326045200305,0.9822410953778481,0.958919485964376,0.9344863572089496,0.8113377830370802,0.8111374417743651,0.885225771665791,0.8434231119531802,0.8176657129518464,0.8794403499286482,0.884772372316751,0.9476148486588517,1.0666283866369557,1.242157512448086,1.265076684350528,1.3842202656052731,1.251706454098276,2.208199325082198,1.975306601504249,2.0339766180466463,1.540669880952584,1.3755622695472296,1.2103858974494968,1.1058241949001868,1.0007061012983893,0.9974007173264716,0.9652867993712365,0.9811558576353812,1.067875651255035,1.0982122567363395,1.1176479915665654,1.120132608052644,1.2307989862309876,1.2281137217961837,1.2479572394934706,1.3590222622484402,1.3964658805669778,1.5333620672904487,1.6810824471901018,1.5245670504497795,1.8945994981610372,2.147375089303068,1.7550177750319904,1.714240103222404,2.4359926442604745,2.1195758816260373,2.4666076213098465,2.2435333990340087,1.8559175875600422,2.1010141033310332,1.8432481869501882,1.7992250297807577,1.8305076609554938,1.8631964481382735,1.65875563734917,1.5013550379718197,1.5114539229128097,1.368765125051069,1.3696380565306796,1.3754823035030377,1.3861551157688556,1.2712395014585889,1.2082703393395087,1.184884356161738,1.0736380466332798,1.1080997246393445,1.1871425771530082,1.10102778500604,1.27839290691485,1.117854546858061,1.33452213381912,1.356606576836309,1.2739535070499386,1.301983358193299,1.387076800378895,1.2971924396465704,1.356121615245589,1.3833677059692746,1.6297210568832223,1.4956755770002337,1.2762828336151983,1.2522897650892282,1.2449171919765503,1.2583093976716369,1.1436854673272665,1.136638858257698,1.2151918647278945,1.071730664314738,0.969397779963135,0.9115404288886763,0.9122162828372208,0.9360665344924971,0.9138368327714887,0.8782923796651858,0.901024993192906,0.9068767402481713,0.9408157416844429,0.9264327081077262,0.9060636246593113,1.003806871181741,0.9992654018249696,1.0421824682463168,1.0180993285832916,1.0023529529042308,0.9893042563204287,1.0223054308520236,0.8870348273988314,0.8354306518986409,0.7933762206631603,0.8457885029360748,0.9510464353448863,1.1163379025499092,1.1931646148638557,1.3056125737665587,1.0809246425018413,1.0433965710613546,0.9222641060075457,0.8791618489771773,0.7865791629106683,0.7420689869987384,0.7635785367238019,1.1013287689356277,0.8543264827577896,0.9472628088465697,0.9223761020663497,0.9709464964615792,0.9838548106699637,1.1406361665812583,1.0579748849026196,1.2103740263006249,1.0712147236794196,1.0042822365305972,1.11585808609217,1.0828961288417402,1.2335329173563374,1.4030372264962794,1.6269180366550864,1.3904619147256483,1.297960694785189,1.3786508686578385,1.1453026059297287,1.0858718770513234,0.9480913506919296,0.8872801674904719,0.8437193127646072,0.8662559697840526,0.9333948963672664,0.943603430733382,1.4048701760355895,1.0327797173347384,0.8695720014568992,0.8676737002215434,0.872371721470514,0.8936040919278855,0.923829874000092,1.02986677215196,1.1357949441090094,1.310246631504434,1.3629131189560748,1.4655301918632577,1.5929264833380303,1.677669875502736,1.8609300928157668,1.7906196457825398,1.7767476820954484,1.542839418610711,1.4370526467152078,1.41348732796581,1.299570218018321,1.220407840772875,1.0656769583076302,1.0201660744771104,1.0938959334812342,1.2137902479849045,1.1438601251415919,1.263327222373155,1.095862408470868,1.2702296378824491,1.4626523344161328,1.4556760946787544,1.5666460713563848,1.3856585558376908,1.4247079775372857,1.6813187002864807,1.7629706142382537,1.8673891917757321,1.673640817243605,1.5688835203637546,1.4477851559036548,1.2890409461183774,1.3681095414295799,1.1406963761711704,1.080852895930147,1.0520381274980417,1.2027553104362874,1.2054033538207163,1.2542838581628786,1.268903767844365,1.381443972238123,1.399785598122082,1.4696418579231698,1.6383047109415867,1.6187538885293853,1.5622782172912848,1.6758828082058657,1.8177789559107478,1.8027269063074416,1.7120407693926498,1.8501222371559904,2.0092891024426005,2.0682317666686765,1.9349726137068246,1.9165347549799698,1.7557370678847752,1.7153816966685358,1.5999601532171424,1.8790470455632589,1.8385977510904299,1.9325871387788933,1.4697745821357693,1.2254621439648943,1.1720943791268736,1.0549819171846468,1.1532888585889693,1.1681169009912435,1.0691590193969895,1.1364403083678518,1.0950491561800713,1.0140015514088052,1.320297554110459,1.2329336640969164,1.2046416498227488,1.3051424833387075,1.039367671826968,1.1472789292486563,1.0513578253642086,1.1626537533990884,1.22825414249875,1.2567849429745916,1.2761031182048714,1.201503384978695,1.3592143079497623,1.3363903828135688,1.3791296103355764,1.402512781632156,1.4372085028554507,1.4921467017047363,1.5119685707128934,1.5286689277442556,1.5569443318124865,1.6245195997566944,1.6530669759995733,1.642008688882679,1.630558223024946,1.488266402006615,1.4070080414192772,1.3994628123165258,1.4910552662470264,1.5379154445106378,1.35877521902399,1.4502023255176912,1.551837297930802,1.4164629760113565,1.3831755592746156,1.626229108308645,1.6463586796472178,1.4063763990027387,1.58695407230366,1.8391490600523417,1.781740453141634,1.7883858125646475,1.9131368039260905,1.8875060267349613,1.9577804852327512,2.0382028832574606,1.9579152504702242,1.9680455383016344,2.1755244137152747,2.0648744765551807,1.9898715294169267,1.870884058759086,1.5769261903932357,1.4428777449934531,1.2161944046231592,1.1403496722940716,1.3974598006441523,1.2185894116149996,1.2426006023936145,1.3156141813798294,1.3996136233889829,1.480257975215552,1.3860569697839085,1.4948615078600493,1.3903964860854507,1.5367602495290902,1.5733267512008933,1.8224075238711304,1.7831796729334992,2.4085660102772626],[1.1519223452816802,1.087644792279619,1.0677720334598773,0.8500412354614952,0.7243246926087337,0.7563137437593447,0.6935926004723443,0.7082460571530086,0.6927237422541228,0.7215439042492344,0.7372889175046644,0.8019997797125072,0.8691522611793489,0.8236587699153659,0.906048318658897,0.9566795348434419,1.0578941432869822,1.1574511977846673,1.3098013392997785,1.3358863126521845,1.4115819831034333,1.2781503604126565,2.1711850363345793,1.9295536822603272,2.0516555214651224,1.5896051601811145,1.4398469889138652,1.3081888116599647,1.2147249758665386,1.1149548869996997,1.0756430324242248,1.0525130456457346,1.0449822370681785,1.1644363826416824,1.2128030884062593,1.225676833237434,1.2426664318561667,1.3319594267117485,1.3193877322597722,1.3244962077710984,1.40635379333997,1.4465638655867048,1.5695925475561416,1.7047902717561927,1.520932678582131,1.8853279765428492,2.1445635733521304,1.7456471383569896,1.7135345408782616,2.410796588431047,2.108548215371057,2.4751165581567833,2.2670185938312652,1.9139400057802864,2.154917905309178,1.8701767914934102,1.8228489142618436,1.8753368580333694,1.9050636487112507,1.6742848846380514,1.533876285278528,1.5657073739582998,1.4397268552649674,1.4173665250324397,1.4139659975917578,1.4410315618817056,1.3117979912177926,1.276372384254136,1.2442772766944492,1.1224528797081634,1.1355077074659155,1.2013839067038012,1.13791670817952,1.3305358337838893,1.1644828683474369,1.3848883510720027,1.4292523500100884,1.3546070602203475,1.38935980513717,1.4711536429391432,1.4167763267930409,1.4693761102461822,1.5228538945853425,1.7597415317045506,1.6404820727785931,1.4107925970168669,1.3572067462006583,1.3717408745369117,1.357353884037169,1.2558058605656288,1.225882682794705,1.2738145426308953,1.126859436453422,1.0298878522789332,0.9609645940799968,0.9277409557762514,0.9308889037105341,0.9146483908884911,0.8582359260641741,0.9134103956634717,0.956643032875694,0.9967441650691005,1.0507955692534834,1.006561574671102,1.1487076776348688,1.0703859175144863,1.1133179806446207,1.1393129302753555,0.9396707127770163,0.9402966920162922,0.8586044540524357,0.9528508772289459,0.8147882891233335,0.9454706580412512,0.9391701734744046,1.0833236508309527,1.2272830878568126,1.2859072016019837,1.3657472627951606,1.1715785123203104,1.1440130185001824,1.01767351334749,0.9961508027137651,0.8630899221128031,0.7202009362891914,0.906648803809035,0.8294092051981082,0.8973411159046165,0.9892783660115858,1.1192809414543368,1.1966476167219873,1.2245858005038877,1.4166538023211286,1.3124577875423038,1.4697226583153529,1.3575183315915669,1.3342833216152337,1.382773293160693,1.2917312897984243,1.3749659479821352,1.4532230945344513,1.6187195332610043,1.4299972132265275,1.3866990423255383,1.4642209888354667,1.2772761004206934,1.233220105101066,1.0825283610912175,1.0015693439069482,0.8327579908112047,0.8009884015522079,0.7246969681885826,0.7962473143603249,1.1928004834624317,1.0321650017549358,0.7985492501962584,0.856947546865848,0.879323508464611,0.9867191856641632,1.056723555716388,1.2159795792203016,1.284065199961305,1.4438316162566278,1.4860619924874776,1.5550686468376205,1.6097590483163906,1.7193123803445256,1.8163749388760426,1.789630182439635,1.8020276242088964,1.6661553626815806,1.592634790732518,1.5906971175681348,1.4874259163427723,1.4104645913609675,1.2455439478418326,1.1844966646713244,1.2515372815536898,1.3879502808840127,1.3124708170750952,1.3665107440732627,1.2929285595168596,1.467803630484778,1.632476157599299,1.602481223047966,1.6544906052312327,1.4486733590215002,1.451394517363604,1.6607005158260797,1.7598955280333597,1.8544742582012912,1.711877071903897,1.6299070841823378,1.568424058819241,1.452910991896261,1.5853212584391727,1.3903587199459173,1.225786822494474,0.9721763053152355,1.0446603868457465,0.892585454219537,0.8788478691410271,0.8664245157466453,0.8807674356846783,0.9212767675867446,0.9629213165884578,1.0941003875203839,1.1391191211593583,1.0852036004838739,1.212069486391219,1.4103498304252933,1.4154415776523102,1.3018316134192949,1.493894724318466,1.729256123021488,1.7849443807194978,1.6466785364057566,1.6580646658974474,1.4013933202662217,1.3717662692633203,1.313244163578669,1.641091968428939,1.5746081847558413,1.5927169778849992,1.1067558356565106,0.904976180331373,0.8994687029965466,0.8746345232494025,0.916072795265482,0.8948124839984269,0.9157844097257201,1.027541363093472,0.9518531514061197,0.9004953295760925,1.2969600524114733,1.2095906842056705,1.0307511783237673,1.4263071420777367,0.8614885110370145,1.1741689246228335,0.9631507453248471,0.9039251950541255,0.9903598666179113,0.9571658670010121,1.022314700059284,0.9118298470789754,0.9634847412352806,0.9566988285548907,1.0091252159508852,0.9516939420290239,0.9818697181062694,1.0472798345168937,1.043419747777036,1.074714098790157,1.117405182942664,1.2197878926719716,1.2359695544181242,1.2277060142417298,1.2154436246136056,1.0732577673318429,0.9691570715474597,0.9938509734203728,1.0999221780449757,1.0976945703271377,0.9486611481441727,1.067411419181388,1.168215690065049,0.9837454838736311,1.0480915686089354,1.3391399410224907,1.2756515347621113,1.0400540082685177,1.2981930960552326,1.6017108962321194,1.5197166461189437,1.5005377768837034,1.7798198309315034,1.816019530984913,1.8007318097591336,1.8584287719975987,1.6093196753382746,1.588265866321391,1.9565049697186996,1.756509909154631,1.7122203773270535,1.2725288719059955,0.9953078769385311,0.8602621821595986,0.9061349909342704,0.8151130358043778,0.9157514327428024,0.8300122837572151,0.7941685827496814,0.9337621821903598,0.9859005806649331,0.994433598348,0.9128017597269149,1.1025418941788974,0.9641466883817517,1.1328695820730543,1.0575715513442203,1.3972793067336864,1.6629858697530975,2.4619635802212065],[0.9907762255809786,0.9177858596559493,0.918461998357542,0.7565460605415132,0.8000812633250219,0.7543327128617655,0.8148049810573073,0.860312199840953,0.8053241463264493,0.8614080727847603,0.8692531392975521,0.9600842737782787,1.0310356974127284,0.9374464167341956,1.0268878948674598,1.0973696622217386,1.1709633921899774,1.2388648727196003,1.3367048586145378,1.3888834954135603,1.4381497717484601,1.3155517750943024,2.196553484504984,1.923500701493122,2.0508521280942364,1.585818196472855,1.4761674292041194,1.3687691000220497,1.3135368967369605,1.2690446443941084,1.1998834765923412,1.2299371921530948,1.218166401139373,1.323587835986292,1.3723151665129967,1.3508115737059057,1.4101885726366692,1.440663997527128,1.414678012930255,1.4295690967121142,1.453688790074705,1.4974507366920933,1.625631577900614,1.7228166831983942,1.5156501840764092,1.8737907044785571,2.133860097986132,1.7587256028015088,1.7062904571012874,2.401803677398273,2.131380088128135,2.5500952492249294,2.3481819588174373,1.9965083848615135,2.266955409413615,1.9649143101896882,1.8888044928457277,1.9814934364756762,2.0245456401961754,1.7207006307279495,1.5871197832000856,1.6387795630702564,1.5332306065988202,1.4642413213674603,1.4579808573244428,1.5132763881106956,1.348999060641174,1.338724108880267,1.2754276406044571,1.1669525152834805,1.1557349085108863,1.210904506359787,1.1758691124336496,1.3529279627805395,1.2378728429721417,1.4550594859455257,1.518497418402837,1.471718254170043,1.511645280105266,1.5897878967098926,1.5783270372862765,1.6206858155775796,1.716596577948354,1.94242221080334,1.7666347297766978,1.5721241130572412,1.4860607771194771,1.537892529303643,1.4769465124913281,1.3993878483140663,1.342775838715135,1.3569064671700328,1.227941175288423,1.1644325265601547,1.0948508940775208,1.0428569199684663,1.0266040663008749,1.0797511765505234,1.0467606450558242,1.16621715363951,1.1873422793422754,1.254361632188634,1.302630681206982,1.3005176009211057,1.4249265708464325,1.347699545679879,1.4152387664800137,1.4627538080933125,1.2537887429781907,1.2385402934665481,1.1293966053267641,1.2325538959191398,1.0540573024365736,1.1504867648432449,1.0834866151110496,1.168808452482152,1.2863889232338632,1.2858612752622811,1.3576300987325198,1.2154794158297664,1.1725062532075128,1.0773226184116413,1.0315039216234834,0.9556844440153417,0.8627867786890433,1.099981874956683,1.012568077647669,1.1840391323051034,1.3056818368460124,1.4493948978383666,1.5580676254268766,1.58309434792183,1.7372555869570099,1.6295419875663166,1.7385740137119416,1.5893852552593908,1.5879410247031671,1.4869510040013618,1.3306608018910253,1.4202285425632242,1.4060441906681467,1.576908603651436,1.4251583943316601,1.4181195032247418,1.5250655555491874,1.3861972523178505,1.346180295238533,1.2565245556087459,1.2310520708272006,1.058938636542544,1.0707844139544882,0.9013430283195357,1.0139913433023011,1.2703938884369248,1.2157726228394223,1.0394982459192184,1.0875022748164305,1.147769508132216,1.2192487612342673,1.322093774283554,1.4273459474852694,1.45166396839341,1.5445362692513158,1.6068485523778238,1.6637645511174324,1.6481593080449097,1.8301640502383858,1.887223111220475,1.888021360130834,1.8403145272322752,1.790742652236715,1.6976669318741835,1.761342618999952,1.6862894206360532,1.6163078840681457,1.4839837860296314,1.403654146270107,1.492623901765742,1.5962457542343458,1.5437421803413753,1.5545265680942066,1.5518066790193001,1.7210144811321906,1.8676201671121715,1.8007221103202091,1.799039192989113,1.5561651904297544,1.5225660190414017,1.7071834296297919,1.8435749960173164,1.9257049639776858,1.814474818819712,1.7802243610029373,1.7864497674264637,1.722996806673215,1.922665240276743,1.7448252846400316,1.580568153479489,1.2980303891933587,1.284914625602576,1.029003899300455,0.9921828939599349,1.0016735153725427,0.8346480667359544,0.8166155071814032,0.8514437932503185,0.8650544181598084,0.9075670392016815,0.8971610873604872,1.010288897739793,1.1900688036515283,1.2263814788661218,1.1263590609861693,1.3035048535841467,1.5966555280110046,1.621960148866376,1.4980143326006043,1.5421772605818587,1.2132374398583117,1.1941465517191159,1.1591495248230355,1.4882877293310455,1.4364528085255053,1.3194245172520822,0.9571302206082183,0.8663003044359708,0.932203952573659,0.9908876101445152,0.9627180745488567,0.9580343587705427,1.0336472234918304,1.1022803008461382,1.015486490396546,1.0785454718467546,1.5006754377127942,1.3971754091458766,1.0885345893245222,1.67485685073319,1.1044110561086171,1.4549555500542026,1.1925910655304715,1.0080881591835842,1.125109534674467,1.0415662658760123,1.16264565002398,1.0648113655442781,0.9661071375775476,0.9833894653087178,1.0731924777426383,0.8844221409124302,0.8777209313640599,0.9291595202314932,0.9039911572465332,0.8922811175114977,0.946497290424119,1.0839360551416277,1.0580906176039033,1.0586268334178337,1.0307007283141656,0.9139288149807974,0.8238244359185309,0.8467090755577608,0.9235781782220527,0.8896280375208115,0.8060167757941141,0.8728974982261211,0.9736996883720179,0.7834887573887095,0.8797795707905762,1.1632726344580782,1.025015030846282,0.8498763164223743,1.1278198695445023,1.4393197339842976,1.3447906352261425,1.3339235722201959,1.7729663883011968,1.852152805229039,1.7842750590264784,1.7831220917798831,1.3786989960166474,1.320688940273072,1.7006455080350589,1.4813587901539198,1.5879111286603744,0.7236726082880447,0.7541297913213802,0.9717878667423647,1.1811252942049233,1.0944737374860336,0.9767357487346091,0.9670136765219285,0.8433792230110037,0.9753776568618516,1.016971270310838,0.888107521726913,0.8381599538480946,1.0122928207034543,0.8970995385564852,1.0746046037345593,0.9682502730091302,1.4146070699618203,2.1583229343153705,3.154747487341743],[0.8833139004411614,0.8278777459555353,0.9201968716995971,0.8641808116772571,1.0761952443228082,0.9333149146687407,1.0288178883070338,1.0546551538866165,1.006892783649125,1.0536927688681617,1.0425531666592942,1.149107168835072,1.2055140391446955,1.1020136576387967,1.1763009438766536,1.2483655737793273,1.310060688090356,1.3430963683838473,1.4098246207993623,1.455477385361217,1.4597469192688983,1.3325531396527308,2.1112913906197464,1.8556568794553476,2.045074560620844,1.6153376831718138,1.5350244742444794,1.4608402676653514,1.4248469745030934,1.41639407295864,1.3287939719468667,1.3864660638943065,1.3582281510974952,1.4450705404179158,1.4939250338382135,1.4679182581086916,1.53520163214665,1.5413409088307635,1.5004019722054638,1.4898910945779382,1.5026905970552098,1.5498488647886532,1.6525382667474857,1.7387736656141137,1.52092810157642,1.8756796878836033,2.1410292814814547,1.741282889982844,1.7166215907116669,2.4098288907148615,2.13805391566611,2.529903439680748,2.3520607898426413,2.03930779595842,2.294189544400024,1.9569170080785552,1.8536422838883855,1.9710693889114503,1.9994302799961308,1.723284847908091,1.6052554988847045,1.6645675261751625,1.582665257220971,1.500123230747619,1.468978725608865,1.5489938738774163,1.3782897323881833,1.4098190572642273,1.340537290463855,1.251491790743432,1.2333316272767096,1.2829307779377228,1.2626721887877987,1.3908040557484351,1.3355287251323646,1.5208697459465064,1.5805344019029672,1.5386709924195006,1.5812851424503633,1.6449727021035272,1.6564642398844256,1.6681007813566815,1.8151970046932244,2.0008429198931212,1.883491520317335,1.6722531480511722,1.5728592648274249,1.6369193645964886,1.557699576543881,1.4862769456928988,1.4442993847188361,1.4250450284718363,1.3362297511058467,1.2879364682153114,1.2302968198741644,1.1792620743903075,1.1645533986514518,1.246631203428486,1.2219811841789154,1.341510763047391,1.3636665206093648,1.4552121306819805,1.482192227412921,1.471771084873847,1.605936234345185,1.5306612421348182,1.5876188617556968,1.6498009183170348,1.4926643991011967,1.4672414710563433,1.3749885814005705,1.454698817678146,1.295700084690205,1.3812216565479605,1.2683937377671646,1.3257042160983084,1.3836245827471738,1.3693319271984041,1.4034417644467958,1.3030271639369915,1.2675590031445851,1.203122001584364,1.1625706314175372,1.126598143710781,1.0766298214094518,1.3516759489981531,1.288406078088287,1.4703733459312596,1.5813669844206302,1.6511121776898767,1.7554070120762524,1.7605510044039605,1.8569893585664665,1.7794119349667317,1.8664598550584681,1.7661496010333573,1.7834225578841543,1.6706917531821086,1.4949626673377965,1.5334351878734678,1.4543352509152099,1.5789921046114193,1.4737617217112187,1.5003346544429013,1.5987455340655214,1.500031622608798,1.4816463121807664,1.4258108673970478,1.428185951092175,1.271661622440243,1.2990782380500479,1.1017573996497543,1.166613734323905,1.36370235814389,1.4348907060158163,1.2291067799349977,1.2900661477801,1.34341433782588,1.412145308073316,1.5132836637527145,1.5961759891147318,1.586569606354782,1.638943244451508,1.6928882373678749,1.7207741888979784,1.6415864260817872,1.847152297385491,1.8569008356653691,1.8806291663162842,1.866220504470736,1.8547009368193992,1.7934928212330186,1.860640694301063,1.7933954780263828,1.7480193243615838,1.6442559914650128,1.567179636014198,1.627511750011805,1.723183772348818,1.6871599355462092,1.6205401220447564,1.7038742783670895,1.8295965155528102,1.9420449780675733,1.8677593749065242,1.8402674453881191,1.5802019599773949,1.5446194846533288,1.6829720560459311,1.8329791883912763,1.9237124851877099,1.8497523302811534,1.8016875389908102,1.8054950722252627,1.767108179279519,1.9636007850992374,1.8631253443498288,1.7267510612634136,1.5163473542212265,1.5011956728815068,1.1831649089669751,1.1350116073048346,1.2020361017150885,0.9653961042529248,0.8246925033993024,0.8792911347026575,0.7830045883361385,0.6759297687531608,0.7184653703071627,0.8168167167092053,0.8720595168715165,0.916174573574454,0.9091125806214451,1.0906214173548734,1.331271714184545,1.3001763156374648,1.2074543891201077,1.1166105492753542,0.7941748102472455,0.8042268703233275,0.8553983341385826,1.2757288101995194,1.1746396425617742,1.1021326428760923,0.8081009784188015,0.8476444069267726,1.0076849747483154,1.0682486607219073,1.0002031778501572,1.017170843615639,1.1645989853711156,1.2194996822593294,1.1818984725406463,1.2386634437695374,1.56826104750902,1.5290627066535625,1.2377027325491197,1.8526452037196106,1.3082645118888736,1.637198072890701,1.349405794899921,1.1256406951470144,1.2158228996141942,1.0929592897225888,1.220831027076072,1.169781181822959,0.9505634520689429,1.0151627258229294,1.142864431154475,0.8897611530079184,0.838401646773464,0.9050165909917328,0.8325246953350462,0.7392094013292496,0.8128432692090487,0.9612957842155946,0.8322042961266376,0.7956067303032087,0.7462416202492703,0.6957464629388684,0.7040835702349538,0.6995889678657923,0.651072689391319,0.6400362183303405,0.6890010739233727,0.6166722902412465,0.6483486036033713,0.6590672911176677,0.7405393896237717,0.8730665363043554,0.6812740281095686,0.8340269852573199,0.916821042515108,1.1296496188518432,0.9870968222874033,0.8121545270883498,1.4022127522614303,1.5256859511730085,1.382694630087646,1.4070308381805359,0.909577594870678,1.0188902391696997,1.4363602813372782,0.917791395926846,0.7166270953052128,0.7773757250083035,0.843316574667317,1.2900629180315843,1.451196189817174,1.4296194937320221,1.1975134622262942,1.185175487723287,1.0103951036497865,1.161776970471935,1.156982489536225,0.9381924642641976,0.9007936119710963,1.1211362682291535,0.9399417861157968,1.005057438762619,0.967115365601723,1.3899686704792265,2.275818465631532,3.3464295140679274],[0.6991871254320577,0.6884811161226442,0.8478225793837052,0.718015372176267,0.8148598771908333,0.7208113690387659,0.7519123964762244,0.7621819418648789,0.7159443599195568,0.7193596689176482,0.709155630591735,0.8020411787942516,0.8441092232441259,0.7659089119512401,0.840116927836503,0.884501038942376,0.9407492597665055,0.9765480699667081,1.0748102883760455,1.0828662858455318,1.085361908700689,0.9822291551358815,1.7044031290209405,1.5067961106581282,1.7091066069606449,1.2825601408660254,1.162043748595799,1.0881121690392308,1.0407386602674917,1.0060954399951152,0.9473306211083014,0.9876309996764978,0.9722482412878821,1.0421410227932144,1.078370856785939,1.0639154403693218,1.1279676674456978,1.1413795167016962,1.1143661043509685,1.1119697266248039,1.1780772342008694,1.1825949176854749,1.2998339626492545,1.467227055397004,1.3581546271498877,1.8473412692274376,2.185913111688441,1.5580844869229338,1.5945897879864268,2.2786831462407435,1.8975463090765603,2.2445167820212637,1.9816149638548872,1.685210828497313,1.923069427602387,1.5976273048099465,1.5437286033657585,1.5852422054557278,1.6013232819936813,1.454058441898892,1.2580487698120617,1.2753708421718926,1.1619947238314008,1.1210093609514744,1.0970486924491725,1.1366920431295884,1.015495892822606,1.0409263478124808,1.0278585702339595,0.9619371592851791,0.9850041712848362,1.0676990269923694,0.9753211172416756,1.1187630064435938,0.9872019264246076,1.2228840967902577,1.186792896081106,1.1293143894575381,1.157572413154717,1.217493412385083,1.2223940084714406,1.2781021596713038,1.383119645774019,1.6001274102951264,1.503550775181285,1.2526022416340483,1.1568401247247082,1.2229814649349084,1.135110396420074,1.0775272074910318,1.0488096798825053,1.1327603016365813,0.9960766690633927,0.911366012363396,0.867966688788982,0.8641960484972018,0.8610945058452457,0.8972542849655117,0.883641779016796,1.0341507851472955,0.9894674190495031,1.1159599330856382,1.0776290926029242,1.092474251279927,1.1977288803289305,1.1542331922118914,1.2401826270830762,1.2951938020930818,1.1513306598304867,1.1217916729970578,1.0452516294988623,1.0673289334008267,0.932343544552109,0.9894279465451997,0.9029260958090497,0.9769430062212284,1.0527619802848291,1.0518157271660902,1.1176119677157144,0.9751725426559349,0.9723793217287762,0.8883279756076278,0.8734798692865482,0.8250942023876271,0.7568599515404212,0.9796081734543799,0.9908781249761939,1.0699195749788182,1.1707347088765698,1.2247620596738624,1.3301999260013633,1.3632764594783124,1.4180496897149244,1.3376913992323194,1.3960969470841298,1.3155691579096338,1.32732701515463,1.2752349469591424,1.1504562725204945,1.1606981611052543,1.167867062162745,1.318664127072226,1.126380081360057,1.1285646188003455,1.194869074424873,1.08996272776418,1.0756276157739213,1.0241162804587076,1.02241940622811,0.9084175127298721,0.9531969610864336,0.7853939690562242,0.8887883784048639,1.2778158311752483,1.3024747479099454,0.9076574872545037,0.9449993540093925,0.9728206098414505,1.023504430929945,1.111780014059201,1.1708827822365147,1.154121754897832,1.2315186434479448,1.2755036193380591,1.3058096290962788,1.312496223799721,1.437754209115361,1.5163758281913358,1.5064290245665073,1.4928227377178092,1.4270861284415985,1.368803883262471,1.4049379687049433,1.344170227782584,1.2980029638763548,1.207646737290566,1.1419408521638417,1.2020578688063135,1.2834797521779475,1.2413631315151747,1.2372274069327693,1.2660479042287345,1.3908197892170437,1.5133241247139497,1.4331455536656188,1.4278189238432972,1.2113951759999646,1.2915402184652578,1.5175820641910893,1.551004474138656,1.6921277796912757,1.5075953971934697,1.4601167947033005,1.4408126220010105,1.395728251220866,1.6558163110228032,1.4857414729754477,1.4199506901646912,1.2559839608481718,1.2358879307540953,1.0468872279744992,0.9674229651302183,0.9830605286802248,0.8822252530066471,0.8113317471402632,0.8125214699325125,0.7712625531140475,0.7507369881709098,0.7496451749296089,0.799675387148309,0.8427345455312305,0.8903147899411733,0.8593415725474053,0.9768978892328665,1.2039749997302844,1.164914713159572,1.161267393859318,1.0224300550757728,0.8601037576591943,0.8581154100643307,0.9880280026833399,1.3015118038555988,1.2507789839725156,1.1104291905537398,0.9109095222520471,0.912112507900986,0.9944954365782116,1.0596070068284102,1.071377353046736,1.033654771096634,1.103896002949847,1.199679843858001,1.1668995195243241,1.1538919280779358,1.4868679330750223,1.517682662330944,1.2149290003560989,1.6507460105161729,1.1582296928478877,1.402916812597602,1.183836073963992,1.0341012592901029,1.0948329009330195,1.0201171364669313,1.0885711005720862,1.0336704669141954,0.9036997353725972,0.9212137941753944,1.0070938896203445,0.8328316185109848,0.8136671780222734,0.8710350138711809,0.8095076883955855,0.7705257136212801,0.8370721528475572,0.9634669131339796,0.8524668564951419,0.8370288036302901,0.8187028225353373,0.7996975156804075,0.7576806776373712,0.7854780075881959,0.7922098881753348,0.7482409732163802,0.7802980533150031,0.7783071033748463,0.8004704704154508,0.7737952871778389,0.8729635763427354,0.9892378157959608,0.8171870856925643,0.9260309695192969,1.022230544309465,1.173373855503695,1.04141020641093,0.8596014633526928,1.4477592304875921,1.427519736136926,1.179015207312982,1.1212621517105457,0.869481238832878,0.9472208852040019,1.1713463314541472,0.8179868076225599,0.789213561044781,0.812834528598765,0.8566179768773112,1.044241865714469,1.1462436807041534,1.0801706716604549,0.9854199300937956,0.95171556316981,0.8487206555548107,1.0117482725954194,0.9742602266758517,0.8317946532518621,0.7850206377554717,1.0251469932719428,0.7939102381285457,0.8827071863379222,0.8901134019552505,1.2801792409655897,2.1552229973237447,3.315681058491464],[0.7002959721049007,0.6569135374941756,0.7558117109305692,0.5580582602569886,0.5792700858394239,0.5721917690903524,0.571036235978499,0.5635466306697217,0.5826800744574484,0.5857217134793952,0.586396237189038,0.6497809542423786,0.6686080142399499,0.6598549343717952,0.712443946586841,0.7181977435509964,0.8126002596956968,0.8441070661905593,0.9797286667686114,0.9302835585233097,0.9332455679769369,0.7965311259933011,1.5183350029715272,1.3457310139588978,1.5767397640075003,1.1846943439490685,1.0187237130096927,0.9302373091436033,0.8681890696648684,0.7860452885782035,0.772091360109313,0.7614687182907733,0.7505587396710088,0.821223846330679,0.839571741637921,0.8534613582819144,0.8551068603149697,0.8898451150540363,0.8595161977465376,0.808241762433405,0.9417627928381831,0.9942099332395827,1.0682449313175055,1.2554038390402535,1.2051010073037751,1.7780990400754106,2.0690808144527106,1.36652387318962,1.444446516442141,2.1580526777846205,1.7354319442602164,1.9296324762448587,1.7034216807702365,1.4300228898611702,1.6603601334332514,1.2772391108349097,1.267693726268509,1.2974063800535602,1.3089558938836556,1.2566743461706296,1.0641967658767852,1.062280939570796,0.9387964435345615,0.9652971365708434,0.9274809481997313,0.9369108923330086,0.9147923928312328,0.9156184270983838,0.9723075772380906,0.9092176091099713,0.9551834450342148,1.06204618927948,0.9311693145790885,1.0838746877370016,0.8491997966539271,1.115436000920416,1.0034379380105554,0.9131231813248574,0.9152471913400473,0.9593735184301357,0.9553394612528968,1.0018241639447116,1.021589990453107,1.2142646148353944,1.2127687189682872,0.9504143820366793,0.8993252240277182,0.9591978959628337,0.9029671465510426,0.8594302240466462,0.8637209836636754,0.9813895278526995,0.8393882782925456,0.7386844840512448,0.7054818462094925,0.7330455539808134,0.7505602975546704,0.7096795917786455,0.6830768167001264,0.8232915942772446,0.7249174279806816,0.8647877591421737,0.7681209529024067,0.733641185360866,0.8185051645162484,0.7902486189214536,0.8548840200235996,0.8703439332617825,0.7608796772949308,0.8239101940332524,0.7264486961108844,0.7354617805604603,0.6726563657232946,0.75319767680816,0.7466431971438363,0.8624861475957443,0.9217690685170732,0.9834133571248359,1.042481287693241,0.8845708399859326,0.9286808556059525,0.8317233698947304,0.8531534766084417,0.7559050749851459,0.6236497063642144,0.7783306659501209,0.7374847028103924,0.7480827135838486,0.7907853848066105,0.8004294630944149,0.8693901596135811,0.8814494553582598,0.9280753901186476,0.8637297099020418,0.955263634665474,0.9833181893496049,0.9447907853673077,1.0032936889542954,0.9640836719391475,0.9468355853181164,1.0421219052439519,1.1435432571427413,0.977274098328868,0.9424167870348873,0.9834678194350188,0.8699434558518079,0.8643338341115003,0.7877000983417294,0.7332383515235282,0.6661853772427431,0.6688594269096739,0.5814428832150693,0.6973557541331992,1.2302294684609238,1.17509366455943,0.6625038227986847,0.6986059518315537,0.6825792917387362,0.7467540809807532,0.7674424735857771,0.8533204657781722,0.856007736812663,0.9547796809520076,0.9693792923589992,0.9816331473252006,0.9982824849452026,1.050473094073628,1.1630616563778629,1.1474764217629299,1.151474415446196,1.0303833943184353,1.0279191706786321,1.0483059315477001,0.9820613624845594,0.9346886286273988,0.8318345687572007,0.8322729688541582,0.8391516159253094,0.9086164842499956,0.8573469045955756,0.8866052381281111,0.8594435421549387,0.9443606909488357,1.061005924711641,1.0158970340962568,1.0466397890753623,0.8723880104325435,1.0171302330427907,1.359343738337285,1.256048192879041,1.3748486478143547,1.225861562229276,1.1160092888554902,1.0388526482381228,0.949081810476381,1.1389838222645736,1.0085671192290002,0.950375681222095,0.8233565304441295,0.8908463584185091,0.7255580890655348,0.6693370822524266,0.6824856356893471,0.6454561490831512,0.6317684478783302,0.6654359794039735,0.6310121318100158,0.6687929517124493,0.6718985090146786,0.7390843052270681,0.8352598314121269,0.8738689848562702,0.8401452960743829,0.9634359576624967,1.1498341294860517,1.1568495286005547,1.136850852741866,0.9965559502520879,0.8166583118433199,0.8402687558406666,0.8850893838078452,1.3249110769412331,1.194703046776361,1.3752024149372317,0.840219652531103,0.7145806100948705,0.7654873868093164,0.7547983831033847,0.8093466005205567,0.7379229556685079,0.8322766539117274,0.9556712577722621,0.9517812244971383,0.839646292086829,1.1181802409781187,1.1796143683214595,0.9534354161564104,1.356796828516115,0.7790933215105729,0.9630889893017776,0.8255494094926694,0.7753456991511579,0.8478213346722391,0.8299226994746179,0.8628404783203661,0.7596119439400945,0.7227260665111017,0.7536560893429415,0.8101755950301492,0.6951073398753884,0.7277758099656708,0.8148883901787214,0.730741597924598,0.7109490146211846,0.8049979290351047,0.9043339750179873,0.8107255305695578,0.7956162992062656,0.7707029846143011,0.7117277220346547,0.649628042222795,0.676982139299308,0.7065893788307228,0.6589467632386714,0.6566572424845308,0.7036032602738758,0.7594595767684619,0.673812054549376,0.7953242001352121,0.9665398096884665,0.8562874942471571,0.8255881971527983,0.9799859757250416,1.19306475595229,1.0743815274233803,0.9120474831580176,1.2889121302999471,1.3275383354689858,1.1299135626794663,1.0816208842361446,0.8790344285853505,0.9498473735247418,1.1808010707568082,0.7834863627715308,0.7810220795133093,0.7022940824961129,0.6465377471449604,0.7168759097641585,0.7620918101193926,0.73924229185105,0.7515174381453148,0.7110117925745449,0.6535987893488058,0.9379641146624124,0.880611241156572,0.7213151553857143,0.7131832061432222,1.043913335432592,0.6613897028413555,0.7976911248963644,0.6974881534884027,1.3057225248563502,1.5148746279493899,2.4070591028525645],[0.4735568923336536,0.5026409183794734,0.6382361646474525,0.5213251023177864,0.5587852385994421,0.46027093355332466,0.4350333029027395,0.4261459979479041,0.42591464180904953,0.38408469372130016,0.37980721605863066,0.47640999900373016,0.4448857720029447,0.4099900067104506,0.46863541917150264,0.4486644754274703,0.4975958554525879,0.49833370492474277,0.6212158942706958,0.5861468616299332,0.5812535109459035,0.5300915725746762,1.088572711170427,0.986698677073064,1.2385826047602362,0.8270986744650823,0.6280756987730001,0.5923882760594412,0.5523151132241128,0.5173661053652926,0.48913647290425155,0.5117424839561275,0.5198692955713292,0.5489137682969855,0.5675596804175094,0.5476057084475109,0.6205517867935256,0.619150779463436,0.5732797824580196,0.5950965801147753,0.6816528552281294,0.6788669988567633,0.7509145304701913,1.0235525863890516,1.094790389170157,1.7656609765564137,2.0530132338984894,1.2243131258188154,1.336585607344844,2.0092181211744498,1.5555326275116215,1.7378929359075275,1.4287971510066237,1.1578925207731994,1.3997456391497718,0.9949202828978341,1.0162684346188802,1.0090527579329374,1.0344756015944443,1.1028674040863706,0.8207244746813219,0.7955060728428505,0.638893842625264,0.6400031613171832,0.6234800156159506,0.618608793374884,0.645949684795215,0.5625882250065449,0.6446155801355344,0.6326992762774069,0.7308336321607863,0.9159706679595032,0.6833651840463789,0.7810343669303423,0.5655296233284698,0.8688016289269208,0.6511002972413921,0.5935980251694443,0.622877705815813,0.7015160814325218,0.6754462753224668,0.7840260055845403,0.8265329820099556,0.9875868600098152,0.9955167418710918,0.7038211619663821,0.6019941368794701,0.7251692801351404,0.595796721605377,0.5865026218924343,0.5422021683296221,0.8026025553723446,0.6032291321777841,0.4708193376581374,0.4533949700065006,0.5261550581588171,0.5646928556458849,0.5167069118846558,0.5125709007422744,0.7488809072962859,0.5671248385655728,0.7428481567784917,0.6057839848544947,0.6475823974342476,0.7445929316501257,0.7307952287422554,0.8443240289085151,0.8598474951043797,0.7788657577299701,0.7868082814889832,0.6827111706265273,0.641151810887697,0.5461851874015541,0.5561134482938578,0.4894948317752859,0.5558575628794902,0.6170283451022357,0.5963852629607971,0.6803614400918591,0.5428971092546648,0.5631326189073307,0.5087956230479985,0.5241759371461342,0.47247396280472387,0.41128115453193903,0.5893322818377753,0.6732732091209853,0.691737004120811,0.7631287255776763,0.7722219879150234,0.8812743643786843,0.9169555093046975,0.9217646304833433,0.8303438199851458,0.8801739145155669,0.8769872784667919,0.8842163439006702,0.8054669262250808,0.6601307415086504,0.6381538118402345,0.7004575342335955,0.865172261073679,0.6225221031555652,0.606298092461911,0.6472747996746002,0.573649550504631,0.5794826592595214,0.5650422342921106,0.5538562502896499,0.5042679357587104,0.5775252642026372,0.45216926846941913,0.6357494939782833,1.2511477981754013,1.216164430686176,0.5595845212079834,0.5550393791316505,0.5531233790721074,0.5622434633244924,0.63096173292477,0.6790805995689447,0.6256569724954499,0.6972939931791885,0.7306840824893833,0.7898783524625633,0.8339936559973612,0.8982193075862485,1.0546816274996982,1.0560085315022536,1.0010205913457872,0.881570405470268,0.8222229613151478,0.8559225007593403,0.7969712478878326,0.7445776299051406,0.6908363721887372,0.6441450276141067,0.6950464193991754,0.7211507144084449,0.7170452877104316,0.8079324419076155,0.755687800233137,0.8500949273244303,0.9676067553927533,0.8978153843559042,0.8745490094619597,0.7063641925100694,0.923312555420861,1.3390922843868602,1.1481133458333665,1.3144165562504047,1.1163549882850305,1.0308178119882747,0.980463961050646,0.9366846880801724,1.1915875249641494,1.056152796366048,0.9989753215809805,0.9220883294667933,0.9034265146464013,0.7985543078971938,0.6974861782948779,0.7053833091339248,0.7340532068601249,0.6937751121503875,0.6648911393463798,0.7160678048633472,0.7493020561325638,0.6799884700972283,0.6931433514433483,0.7673147183203536,0.8056203811162744,0.7588576511371667,0.8247694820394988,1.0206949176770828,1.032435130997334,1.0905003072340107,0.9801262796795107,0.8762151974798978,0.8854959319302547,1.0376174138282055,1.4144876044005537,1.2173577297353675,1.1074406536455992,0.8463944361003434,0.8029957675230075,0.8433278355734788,0.9083450454821949,0.9839911483015953,0.879572813786184,0.9342957592896184,1.0785867575962858,1.127011506399897,0.9775460819992868,1.1913921730026382,1.3493654954893162,1.0889708039947807,1.467836576992287,0.9431195595033119,1.0254578856200498,0.8905162315141869,0.8224605271583284,0.8494930401068566,0.8609933837291213,0.8125656940652098,0.7848877831914026,0.7370557207058913,0.7158544720266554,0.7445642679031391,0.6682375179873051,0.7014503965915566,0.7521598182212212,0.6981051586602587,0.7128873463135339,0.7671678508122304,0.8822618505809701,0.7907553267919969,0.8014698537865554,0.7583829881552326,0.7558906094667723,0.6975450567293422,0.7399633096829779,0.8091181521492453,0.7304916757607244,0.744276617962031,0.8091159729099248,0.8442224515010499,0.7744632107740285,0.9087614692613375,1.064693831729905,0.9147132750701084,0.9584610230071152,1.032027228045731,1.1941541907372142,1.0753425460818762,0.95363831136117,1.3342443780689257,1.455578510701943,1.1398597853115862,1.0240663238834897,0.8532486343909492,0.8352190761156421,0.9479255287392513,0.8397930378126043,1.009487405946929,0.8991393761971469,0.8713741495673469,0.8115886091779164,0.8200391940528051,0.761856062854065,0.7435171476361366,0.667442611699392,0.6213507578900112,0.8938320419366862,0.7355789944095936,0.6247624795694835,0.5755141629603192,0.8469021079306241,0.5181329331277655,0.7270488379212092,0.7853169415449216,1.1078938042912714,1.6919332930051745,2.825619995224687],[0.3872953431200187,0.4139812570816882,0.5652896970667124,0.42280749604835405,0.5572213298107583,0.43049464666194664,0.5073329679414631,0.5052211284139762,0.5057165286700204,0.4793962649718363,0.46681069454669105,0.519413653026602,0.5150955066224141,0.4707857265679105,0.5123417466028402,0.49362264511681075,0.4753632071795853,0.4818829923970054,0.5622494622753433,0.550510184226483,0.5746495037641691,0.6230732857787712,0.9176945886226725,0.877270608996594,1.0816796033779064,0.7347346921253817,0.5285353563380963,0.5707948541087902,0.5463914038281369,0.5198320044922591,0.5158433545238355,0.5284483005670371,0.5449266295908683,0.5381339586795919,0.5568938843145066,0.5279762499800987,0.6131654700552867,0.6065485264222067,0.5707581299459374,0.6832669175112018,0.7143186042824744,0.6215269105031784,0.6432181604045161,0.9230803209910619,1.1067441941433855,1.8104570523235954,1.9960563863969998,1.160740760559995,1.291686791009704,1.8082280535599335,1.3373375584197829,1.50528114028169,1.125082289813354,0.8960590866080657,1.0780751957437194,0.7986722135013432,0.8833876984642517,0.8351139186873322,0.8985809556979784,1.0645207581014018,0.8122978820991062,0.8040605740076107,0.6606058058697111,0.634752827433769,0.6384667883060455,0.6436827083404376,0.6651245050872673,0.5305993803512733,0.6147704234615003,0.6354688944695738,0.7341522362855559,0.907545343122921,0.6882016762728419,0.7314000445201256,0.594337501742079,0.8416602609930316,0.596654840484968,0.5776695552118577,0.6378711290172968,0.6986943738643077,0.5882044170633789,0.7720371664236484,0.7324747517668072,0.7385930565752334,0.7793109387666363,0.5953381390903324,0.5546914532070802,0.7005881519380699,0.5744881788692152,0.5879012920483436,0.521875938187789,0.8279113656640308,0.6216370131690626,0.4963030556500649,0.49329773875827937,0.5517201289296497,0.6084594740657197,0.5516196327970352,0.5367847133346009,0.6904566926353493,0.5944464271552768,0.7089500857028784,0.6068172003637069,0.6217698148344907,0.6743108702879858,0.7089407144201544,0.7741105339561842,0.7108386380670221,0.6543015956215334,0.7911517208713733,0.6518021036016081,0.6345999130750597,0.5580383795830383,0.5455792403045816,0.5319147919543505,0.5411985018427613,0.6440228595591242,0.5427228283304065,0.6174788585162697,0.5359815351707845,0.5225571717442804,0.5122380078403528,0.5143895903535178,0.5069534475351468,0.509997041090112,0.5501158186009519,0.5823653532708757,0.6113234791590124,0.652324676482837,0.6012698844489821,0.7004950178847219,0.709887312239534,0.6618496409897296,0.6028833354927595,0.6405911222424178,0.6637802846376656,0.7270238050213226,0.6437618558964999,0.5660910724835109,0.5685645597854927,0.6309307327543912,0.7597410666246647,0.5710291571915012,0.5644065070817187,0.5598319012857778,0.5648343846489501,0.5671539432496596,0.5895286725745977,0.5665447692216358,0.5439911215769173,0.5622110022754554,0.5432373552139358,0.6682635547273323,1.2764986258761863,1.11587066190595,0.5554777044948371,0.5506599363835997,0.5629385720890311,0.5753530638096724,0.6189581312131943,0.6014920920489367,0.5843605953772555,0.6384740840256375,0.6332673648891817,0.7017413345841581,0.860337687310808,0.7753598701608241,0.9641183003093033,0.9320554199654884,0.9085436232115561,0.7156117055605372,0.6489058301037255,0.6459005960709608,0.6277080028044029,0.6111674051769613,0.6086576919611101,0.5901233977168435,0.6930233477133707,0.6069403527221854,0.6300095772629319,0.967952793922235,0.6317246945513018,0.6753086459184997,0.7480023521560135,0.758162066049517,0.7722429346334859,0.8090081121871996,0.9705208087675026,1.4243197308369286,1.1285112371005652,1.3226512836149216,1.0685464476037325,0.9442623131554292,0.9557753155527112,0.8383459018442472,0.9242128025347819,0.8455724635274341,0.8177972167974412,0.7094884709530253,0.8062639668452812,0.6277981311929595,0.5687456704747446,0.5981239512401966,0.5767629989175896,0.5570284973961885,0.5933919976390762,0.5640737265743124,0.5842081312343391,0.5792925243999331,0.612638710402514,0.6742488546786104,0.7033593096031807,0.7005241832003635,0.7723118986283625,0.904595825344046,0.9296790478841539,0.995003220649176,0.820095529147958,0.6774467049176263,0.7157576739748068,0.8028922432952881,1.4156783329598686,1.1066562104005817,1.323839956366067,0.7266938900650173,0.6110341451480905,0.669232048458376,0.6656414806769616,0.7187036705207587,0.6315832769585987,0.7622360285619438,0.8647952351955167,0.9164016028530272,0.758909016317591,0.9788731296429172,1.0606584229172957,0.8594316569299295,1.2448932482392319,0.6827476728804772,0.7967458116409097,0.7339419690048996,0.7068263704469393,0.7932897023221013,0.7893902437068434,0.831250402652903,0.7085544991572692,0.6302205367377753,0.7062513937966333,0.7360112679924709,0.6135617226821335,0.672424707383161,0.7674863403077659,0.658138204617226,0.6366273028045507,0.7433813593206099,0.831422491110169,0.7020383966410139,0.6945421470718552,0.6357088149059821,0.5997593593829043,0.564795546697419,0.5711922148502151,0.5982558965714017,0.5557064264208585,0.5932844746731748,0.5950636648394273,0.6413504987197374,0.5995971248460974,0.7215073408182362,0.8812771792334251,0.7767809994036742,0.7744959422602111,0.8598835186132919,1.0767699915278457,0.9415220258038006,0.8050072752856043,1.1201181556168576,1.3101659650766844,1.0003423743645925,0.8906569072507577,0.7096943459998052,0.7235317108716045,0.87758446398638,0.6863784994353291,0.8005491247947968,0.7306454354858913,0.6471624427584558,0.6465617002523482,0.6524138429662427,0.6195807598807225,0.6402848075228167,0.6439028145369182,0.6181227308620122,1.0106996328627589,0.8349041940567564,0.6190403208156909,0.6161632576415752,1.031337172425264,0.4576706932788666,0.6336308119847002,0.5544782689839491,1.3269574779870912,1.3952147367911913,2.0246003110989834],[0.8276391871495735,0.8610494577760794,1.0289786658559357,0.859574647386356,0.9131891815097681,0.7706492305361928,0.6773566231856191,0.6951708365390497,0.6621145868540993,0.5090612030431412,0.47390709926588526,0.5555499454498255,0.4798097645137845,0.4258483416056747,0.4920353446663563,0.4331189430874658,0.4126845791840969,0.43869695544378295,0.6291322936924884,0.52546509797413,0.5681738567404411,0.5027465284723628,1.0884020088802164,1.0266992308033813,1.2439719164927172,0.8375897278569501,0.5894282782676439,0.4863237521783593,0.454053588316014,0.39410967995708385,0.45858139492986016,0.44228017935118635,0.46694541699612335,0.4568398906075632,0.4531700187632528,0.4490706628983439,0.4939624256957617,0.5354567709093511,0.4501723275779675,0.5112842062206484,0.6074500070027085,0.6119632121976962,0.6860733692191798,0.9866596780044219,1.0218159254130763,1.677641841807579,2.0019880489382165,1.1953425843349603,1.336704576213767,2.02067651704703,1.5402834844205184,1.6185919613755055,1.345701841051766,1.0556048398135776,1.2763879789039168,0.9296951261961852,0.940837966432878,0.8802682721668778,0.8807940386244846,1.1322047990134572,0.776351407664959,0.7258038293779405,0.5672949476625593,0.638460345479265,0.6039196580281146,0.5645673556110242,0.6627139464973502,0.5278606607009362,0.6629437591722412,0.6418298765441575,0.7438403779213071,0.9569834779854278,0.6939070617393392,0.8237406124958131,0.5600122278683523,0.8791251146656825,0.5899342396431433,0.5211775392141869,0.5369627558759641,0.6381650353490992,0.5190628032288084,0.6906646446100049,0.66536366325724,0.7561334745831297,0.8063592981373953,0.5013493183861627,0.4777430180373923,0.5849838411138486,0.4866395037445764,0.5013196181715334,0.4895023484936439,0.8245394873315545,0.6372283468660684,0.47142800307595906,0.466241271114572,0.5733648939464934,0.6510376370000196,0.5154088905177462,0.5223322725169033,0.6256879707254352,0.5139032349485059,0.6615441425430073,0.5286266310696004,0.5919097281436685,0.6224481386936427,0.7292378088527394,0.794992518938837,0.7607772400371361,0.7706654314395176,0.8811804503501679,0.79283749990649,0.6219015401950783,0.5689004608567578,0.4476399075599228,0.4221612464114241,0.41365574638609665,0.49052532123167764,0.5814330089622465,0.7050990855210105,0.511616244940872,0.5637552582782935,0.46591324308367094,0.4683050469065124,0.4023171586400153,0.5088883680491546,0.4369435026316696,0.7633608234050905,0.6206468003730673,0.6991280326646288,0.5796824885788634,0.6874489688967125,0.679457860640721,0.6069031067604473,0.5237947591686001,0.5343275181915633,0.5834302571985787,0.6316374208259867,0.5436192264414649,0.4470948787572487,0.4678037582148587,0.6816220456268687,0.8759721469392707,0.5952346322239012,0.4854987992292303,0.5028448737683824,0.4305926339897258,0.4192740176688832,0.4459358417521906,0.4799292872544508,0.5582058251292124,0.6108142934295684,0.7388050308497544,0.8305558329781297,1.371110375204321,1.0681425999167404,0.6126006145503061,0.5580988848345111,0.5879363668084415,0.5164835704400063,0.5645298367690511,0.4922186943744048,0.4345550402329394,0.4773981611258244,0.516161873317109,0.5936056389989486,0.7030359489961266,0.6614358919323399,0.870151234883852,0.8387174833909103,0.7593816524047333,0.5946537426183696,0.5409380542772574,0.5252763953268071,0.48974501146168836,0.47519410595158224,0.4884623384147482,0.47776671205810795,0.5563491126702149,0.48939830471439183,0.5012215900546702,0.8266913556891752,0.5405814045891669,0.5808491442985362,0.6361527765555869,0.6134822029314876,0.6573693829099141,0.6454846460585559,0.9110338034438915,1.3416404614795094,1.0574602419038361,1.2417643115651997,1.1414626824707006,0.9420116321104467,0.9366834442757951,0.8541247260519035,0.9428149858222322,0.8451560714346364,0.870438040187989,0.8162157282205565,0.9761562209444462,0.8917532015553377,0.8983195741479816,0.9038982762813975,0.9029165371373302,0.9434348780528559,1.0023823909840928,0.9553708711694121,0.9672669285224869,1.0083170840796316,1.0475705937211628,1.0857431760137013,1.0999882756204695,1.0987435583991474,1.15300890293546,1.2240756176769452,1.2527610771033555,1.2689273216289856,1.0816010270550895,0.9845726700725653,1.0111981165897432,1.014474046760715,1.4425512209729596,1.3352540945993079,1.6552378551782574,1.0400392185935083,0.8747040894606242,0.9184271467901064,0.8785587539263215,0.8834548531303728,0.8416692361193904,0.971640130508631,1.0628110038635759,1.0298497916854246,0.8995363865894215,1.079886125568851,1.1066217380919514,0.9942108508921688,1.189776570799117,0.7875018853117352,0.8989815995378323,0.9058981136450855,0.9771445579192705,1.0386481450105258,1.0390635458611002,1.0955976014295778,0.9663247883323346,0.9984460943373742,1.0472920525622946,1.073249192289359,1.032355450557293,1.0847363082480141,1.1633533195688615,1.0774713162496181,1.0553812200215131,1.136064009868785,1.1468490326220808,1.0873015003101247,1.0677007442454807,1.0392602863862768,0.9855322827056376,0.9717780813651219,0.966885641099367,0.9457141922255007,0.948486577584889,0.9329634320712313,0.9146964017605443,0.9559545840235563,0.9082315881522844,0.9640748452759912,1.1142123642105484,1.0445909772757944,0.9598662009019076,1.1231509656297545,1.2915432018695021,1.1719235321114556,1.0060024339245153,1.3228959934119384,1.3619020516514686,1.1403851199865271,1.1084326960277469,1.0486965306448133,1.135377025730688,1.2181958787263532,0.9579135428459317,0.89942947709414,0.8926090844587301,0.8279041065241441,0.8613423740269585,0.8470798267017913,0.7764228012007636,0.9766553066169358,0.9598962075025725,1.000407268035198,1.2313640492485436,1.1927423721890873,1.0766211403574732,1.1111109670492092,1.443406772887043,0.9193567536488131,1.0019406318524584,1.0297700007248052,2.1048067751216766,1.8299870060845438,2.2702318453413524],[0.3957226687288515,0.44844788323316565,0.5698369632447577,0.49254330723756606,0.5581383369406661,0.43480868152986385,0.31988024548418575,0.34843853572969974,0.41168780887637507,0.3410481056283548,0.3502710160592075,0.40708736282844016,0.35335094239885523,0.34570905204776087,0.4366273225214293,0.344595913125521,0.3418777628272227,0.3407749620214052,0.4807931117506594,0.4135714592178702,0.4965142279964844,0.5499932511437675,0.7884311323222903,0.8258959950302012,1.0244056490245401,0.6596356825361683,0.4441382709010759,0.3679395748718058,0.35480511673479304,0.31097044215001646,0.39799118887619006,0.33509534972015265,0.378479279522987,0.37501398344065273,0.3494814272487263,0.3580906517572859,0.38722897064570566,0.4647478311099551,0.37981393692374055,0.4597392061761654,0.5632249983339421,0.5206420942115777,0.5898353012682743,0.9179751044282897,1.0027842971467833,1.6608672917540535,2.021294451244823,1.1560007083826145,1.3527591977122948,1.9780100546799928,1.4868439975381382,1.520629351411679,1.2342257620115693,0.9518112970251881,1.1874734476176712,0.8112961035297621,0.8454156266424502,0.7915062850646875,0.7813418119051236,1.129617546101751,0.754259053282346,0.6583685596274593,0.502864101433905,0.5844966464128061,0.5510014338807055,0.5120737763264105,0.6603084396667052,0.4276508953564312,0.5654422402338356,0.6024779435015992,0.6918355928563897,0.9293488719134573,0.6439680977118623,0.7598257752516028,0.5081154500767094,0.8628289830991694,0.4669029605480593,0.42639630375136217,0.45499973019681816,0.5885299405789142,0.4288971359949682,0.634534848969433,0.6398665223540605,0.6826868083496612,0.7744422994201788,0.42080673044737255,0.40620549942875084,0.516694177676983,0.3925797077538041,0.42337424048064826,0.435832270927485,0.8510286752110597,0.636721180032797,0.4328914024796009,0.4152215668960795,0.5672550290673712,0.606049288419581,0.43447952571414694,0.39438610184163614,0.55071912017143,0.3397552049936573,0.49559343723382093,0.36732497355404947,0.377913853564541,0.43870407154262336,0.48194810460409837,0.5166143336699359,0.5079065880020055,0.45827401447743893,0.6061566426512054,0.4173510367903382,0.34049948350831627,0.2910777203996914,0.27765586357869737,0.3236030570439816,0.32515185152742176,0.366201678737377,0.39003380344764793,0.5479582816759718,0.3994246375023651,0.4606118269518704,0.3889968098747838,0.3541774762094335,0.31608223708838185,0.3325180740463032,0.28066993579147054,0.5403223590127073,0.3827028305518543,0.4134834178473583,0.4218974294768078,0.4847010240691448,0.4934988684061485,0.5238285572377359,0.44149265480210453,0.4840002094903453,0.5590216709145547,0.5373975556251336,0.4941794043617958,0.3958743279680216,0.380257274609765,0.49674209465055214,0.734291586566089,0.44424172620059704,0.36421842172616503,0.38660272706870846,0.3510584084453832,0.32755837282731504,0.3363931659070507,0.2974804970067111,0.34824832383995635,0.34070966430349986,0.4751082053845426,0.668721660233995,1.3311818708978416,1.2110224412410884,0.4169465986241591,0.36882055154651605,0.34226047275303034,0.3290827721744008,0.340885397993946,0.4004143216595147,0.3445511195325122,0.37846272664829034,0.43045935418337794,0.5397400827405924,0.6675158059954622,0.6156449745233413,0.8475592348054409,0.7958742902745767,0.696960213721681,0.5464750074049151,0.4761515131871038,0.4584734879703333,0.40698261059457813,0.37719269650838805,0.36947430394240666,0.3770638756598855,0.43294629878040064,0.411988271589655,0.3867795092311506,0.7244062347216488,0.42084448294684484,0.5073784856490783,0.5820276521806367,0.5507583492076857,0.6004242234920578,0.6453870959673309,0.9313970832797357,1.4689586978286642,1.0883150310282266,1.2769888786259005,1.167100148803489,0.9244825589256874,0.8823303574425452,0.7577956314938799,0.8671067504437223,0.7065748053521141,0.6322913159337001,0.5210454442239562,0.6491421943782532,0.482289215992615,0.4498241762685042,0.458921054589284,0.4632869510872911,0.4744702342286259,0.5272824443935074,0.5568335215057937,0.5921733047735841,0.571268109160956,0.6268711442834561,0.7098438790321929,0.7297176991877673,0.7201218794062958,0.7994456201668171,0.9302043524616028,0.970343137232224,1.0161436919593498,0.8777617727110982,0.7240018191977595,0.7428361877981754,0.8414543411874961,1.4295069326437708,1.1343087799464946,1.2323938164893862,0.6931060810018,0.5649303959179395,0.6031866150304829,0.6226780319142892,0.6670953646270292,0.5902642960557722,0.6316518089970633,0.7858774247933149,0.800915834880792,0.622737446435511,1.0017113414583125,1.0714806566897452,0.8662801595610351,1.2391522049201018,0.5463954108222601,0.6637620657140942,0.5740580044893197,0.5879566827148803,0.691747391210867,0.6904657303650933,0.7435744284666252,0.5938939758952265,0.5968984547335627,0.6646168008784981,0.6778537691005528,0.583479944100091,0.6810792770613273,0.7924247545823019,0.6656634907239114,0.6385446022426435,0.7587015596677613,0.8484980746278876,0.7092018155752354,0.6888266538132914,0.6370106297442382,0.581190722221143,0.5383297185847021,0.5511864985451922,0.5964795538280521,0.5519360742144391,0.5358331731882707,0.5850087749457039,0.6454903108402268,0.5579909533003664,0.7035492146177849,0.9322626479810762,0.7935458805794124,0.7679626748699162,0.928922855538491,1.1320466437677816,1.0071574541066524,0.845028315171857,1.3160633358435316,1.3964388970364034,1.0631195448372985,0.9584174868980039,0.773942859595776,0.7800093727419827,0.9696687248291669,0.7257328607028064,0.7948536032493447,0.6416450874968112,0.5603830262768208,0.49246457004828537,0.47877376758813067,0.442791368455352,0.5506208909763406,0.5068631650206216,0.533524408421468,1.035903816945049,0.6982415843348231,0.6061285133159653,0.6364952062197623,1.0200798527821109,0.46552169022857,0.5978524225285056,0.596535047024274,1.7571370355562288,1.640201850392401,1.9882162906068934],[0.40352559314298053,0.4646122078998228,0.6068755853338703,0.5237895510481636,0.6291072863124573,0.5083135252754915,0.44878958867284446,0.49128937084862384,0.5356761536189685,0.5091100315668059,0.5079308366214987,0.5321758025563383,0.5386365529547203,0.5162668521031222,0.5840555670991134,0.5236771211791581,0.49447138471794755,0.5018889111960787,0.5438762063020721,0.5246602935178282,0.6401372624847418,0.7633242730855498,0.7744823269360636,0.8631769386739181,0.9569090565855443,0.6635194137535966,0.5223780871939776,0.5076941420093847,0.512717090437786,0.49227339459730834,0.5600216008185684,0.4997810971177529,0.5308031719551624,0.5369816591935639,0.5103635745556101,0.5241954473562943,0.5448123260411345,0.6164083012074966,0.5187842105416979,0.6424761279616361,0.6627930641305382,0.592338258553966,0.6330498981988363,0.9223703248178836,1.092818041558569,1.6895668975576865,2.119542939343199,1.2215367644784523,1.3969562112057472,1.9400830874321637,1.4754053092767154,1.526682940320696,1.203269205495707,0.8744549396317268,1.0629760401060702,0.8666548223557766,0.901548640730167,0.7821167414942245,0.7918728757682133,1.2693835571410368,0.8890995475842338,0.7517337622917837,0.6529691671252394,0.7070324388848263,0.6991837487356283,0.6618581412728715,0.8237553712444589,0.5500072977991979,0.6279826461343923,0.7017800052546397,0.7775579013808337,1.0352832625981456,0.7316361446786221,0.8227395143800784,0.6298759583025421,0.9155870681863618,0.5668272877626129,0.5712452426081746,0.622096338558868,0.756692120244169,0.5730708275922475,0.7845597693509428,0.7264390144778152,0.6800320937845602,0.7378084661956851,0.5028952571366415,0.5512808578896378,0.6433625437063699,0.5496225884433585,0.5700544265789194,0.5840175574709104,0.9797170206813359,0.7856136483712973,0.5960729891045161,0.5836574150353154,0.7028874248016947,0.7472063716552959,0.5801062916264842,0.5308975446416315,0.6007442881381753,0.4833489011124031,0.5652306006787503,0.5401826796976614,0.5315945366170063,0.5679004048221138,0.6321055334939356,0.6403477931944385,0.6041134322932209,0.5525317985259994,0.6957361054631961,0.5305933944627785,0.48522250564279734,0.4391505115089355,0.442050804353231,0.5237996568227896,0.4897649759460474,0.5037739078418945,0.4910180328601133,0.6266321601673756,0.5297533197853069,0.5691710262759263,0.5412247262839219,0.5015677838783262,0.5214368577770179,0.5293512626211607,0.4419846466795571,0.6582595354859426,0.49104386962203084,0.5325793723461841,0.4890146863679092,0.5647197208308908,0.5591534442371489,0.5643461834064945,0.47708789039586064,0.5023071385558255,0.5571099699023567,0.5447921828782047,0.5045392561899066,0.4488167470953813,0.4679560687351145,0.5185866098261469,0.7453829366150975,0.5311416041126958,0.4949413554983054,0.509018941271895,0.5080130478494761,0.4899384296884541,0.5041341286581764,0.48256253594636206,0.5283089655714152,0.4602504874998696,0.6458470023815924,0.7771066337987048,1.3864382612351673,1.2263580388000885,0.5387621364392279,0.5017319532011858,0.49254513427572777,0.5051008039480046,0.4861254445958765,0.5265333212560069,0.49455847447378426,0.49531338539082354,0.5270034302110959,0.6829939090061705,0.80294049035055,0.7109537801415314,0.9527304248424426,0.8582574788880436,0.7281257947327694,0.5907179022535642,0.5114856210286108,0.4967534918760596,0.4783112018331435,0.47546487726585906,0.488674644974746,0.505366458156777,0.5582044942489794,0.5059701829352785,0.5132553442942389,0.9312873144735455,0.5355087672032112,0.5993688119418722,0.6137533624391115,0.6063614798359849,0.7005259425859199,0.8658687222115604,1.1840774289830476,1.7030748764146764,1.2677648468800677,1.4457753878651405,1.3212083264775354,1.0298131445485719,1.027202663511966,0.9423355386708854,0.953400794178197,0.7827349679716009,0.7379344547741107,0.6063285244773395,0.7617983537284958,0.5900270060608127,0.5733611927277865,0.5810110191171588,0.5449120371403083,0.5559094199743193,0.6044615964207,0.5968683061781014,0.6226603580259161,0.6129916201561771,0.6590944037914093,0.7364697709753538,0.7506412784332195,0.7358305679965146,0.8133735559410452,0.9437848361382231,0.994153260579396,1.0311197345096268,0.9040962460442061,0.7398471484364182,0.7557852400572681,0.8484906708487956,1.3743822739223244,1.193403495788738,1.3017259219019,0.7422891757991739,0.5962748783970699,0.6459890517187954,0.664469275301005,0.6778930239995274,0.6193745077575264,0.7173203023300413,0.861090552655212,0.8207062771496229,0.687938277866256,1.060224601840669,1.1036529474761851,0.9206173209705162,1.192973500873296,0.592142929627691,0.740324576226851,0.6746207760816627,0.6865838777342742,0.8006138285275411,0.7542011392917193,0.847388388848058,0.6834849318308422,0.6744835949388874,0.7499207464832716,0.770939686599113,0.6631838670482096,0.7426949680595929,0.8551532447646704,0.7135050007412798,0.6779682865180926,0.7877582667907042,0.85732306463086,0.7229252834198163,0.7017905164002975,0.6616149117266524,0.6071787174410153,0.5933504516892771,0.611156620873638,0.611004327145475,0.5892332534665002,0.5952906658916268,0.6116041354879433,0.6639761939328703,0.6040111480185708,0.7291972674108149,0.9527376622532499,0.8164338419521696,0.7855318582123136,0.9976119397954858,1.189371731433616,1.054536641488701,0.8630038104727883,1.384194044876747,1.4095131648447765,1.070283561494537,0.9775653007260209,0.798145640250399,0.8132762773977057,0.9964762727466981,0.7488661812996381,0.7942538942203612,0.6732605476601954,0.5761538877558797,0.5501816517199112,0.5842493772345045,0.527004352576432,0.6400484551950613,0.62679544820296,0.6369318150901095,1.0945014523924252,0.8134014830257552,0.6868424679071872,0.7275444378827924,1.103108796305622,0.5158701896371114,0.6151065087153831,0.6628459679902655,1.9146715635101639,1.7858158913750806,2.1633326123630527],[0.6462874550949019,0.6671343596164485,0.7082013307840574,0.6965614503417802,0.7081096943951262,0.7826542099213427,0.7613938619888642,0.764493407983342,0.805320116195554,0.8134377475789104,0.8147942214760093,0.8588856995025954,0.8138424301027993,0.8169373194438796,0.8796851643605571,0.8364892504783735,0.863077968922557,0.8159844231760136,0.86626268944879,0.8195164577963097,0.7993574662592046,0.7739291501001929,0.9665021582180681,0.9782434737291326,1.201650421558294,0.9604500674339371,0.8285959709173518,0.7736089525691716,0.7971643259734886,0.8118874521589698,0.848813213776461,0.8343565401748314,0.8706884014373788,0.8872857758502469,0.8468246051863414,0.8292654310746974,0.8133128546491326,0.8437552230476106,0.7501293249221254,0.6735722412499693,0.7417419948725225,0.8707653365945819,0.9254476643976576,1.1823309359847154,1.0979254603112207,1.676728515128258,2.017104835007603,1.2523898525989068,1.4920467655023923,2.0259537439295023,1.6246387866015337,1.5771591645012761,1.3815544078647906,1.1720329659313298,1.4420261992522756,0.9942783723108546,1.0396454403465034,1.112750784741729,1.0394136892912804,1.2300388090222074,0.939920909752211,0.9346806459511519,0.8217437872131762,0.9195510077677799,0.8141558000574757,0.8325773077435881,0.9242958077416202,0.8571295308325694,0.9212138208781259,0.9638812092243092,1.0359362713569418,1.196760543545009,0.9986038358524264,1.0700945398437092,0.8917655447937195,1.2008836943630892,0.8977204648950632,0.8551332819832212,0.8233287376640723,0.8678733041848841,0.8069681875651417,0.807403919409145,0.9355827361417578,0.9500348624811396,1.0847077432473369,0.812224373570781,0.7914008366397483,0.8414506124098201,0.8253932341046242,0.8592616017683277,0.8704422345649304,1.1182110511255006,0.9690388279885709,0.8753811598019392,0.8529263085266086,0.9636918625496751,0.9500620460384667,0.9061692609667065,0.9003543957197502,1.0525200986639611,0.8463000246819193,0.8756133581528793,0.7855429109298698,0.7877228347967744,0.7487556554106505,0.7676509058389801,0.7270920395338271,0.6750598622732628,0.6344469205887153,0.7432605916319005,0.6521457439912316,0.6781944374400801,0.7288643783337699,0.7162343157066323,0.7781999389315937,0.7741531631976422,0.7855639719028682,0.7449059924498418,0.8149883028631562,0.8213329851129768,0.8711252202624963,0.8438594596362349,0.8080282253310108,0.7484657707908898,0.7421738441154416,0.6883253060394713,0.8046169803761218,0.6377234623798301,0.5890390369079143,0.6817239006597098,0.5579953369172898,0.5733485517359669,0.6168135921674313,0.6811238620591229,0.6460782598534474,0.7319899684303458,0.646735136172447,0.6537485362687657,0.6392263591056935,0.6933691368718261,0.7340010227838596,0.928543427467635,0.7460491891572573,0.691670506185834,0.7156361209238286,0.7487956811603492,0.7393270201711772,0.7641909153981618,0.7249885364785561,0.7830582427040202,0.7830516359862915,0.8765113943276007,0.969916550621044,1.6012194597186415,1.7345939011008205,0.9197506610985755,0.8608950310695358,0.780979904468322,0.7881776373280402,0.7273960740138283,0.7486390437895846,0.7499191891784448,0.6952788568194825,0.7397429264399749,0.6964337884725039,0.7195063736832676,0.6720018760810529,0.851729485161548,0.7736507175497017,0.6962017542137866,0.6110299946691916,0.6491340033567761,0.6922534864524869,0.7178438299215667,0.7397833610265996,0.7776408104933523,0.8032975117613915,0.7874490831624258,0.805901748895474,0.7235707853084699,0.7894599960963602,0.6911691067139312,0.6966843151171722,0.7030553520576214,0.6895501392466867,0.7340244632457679,0.7138725116851882,0.9203982809238794,1.4722571694205886,1.117229747009224,1.2962683990615311,1.2076581276555727,0.9208271863941371,0.874283266106109,0.7238916755466566,0.7712739982540172,0.6665155232752743,0.6014550517013086,0.5348216247354868,0.6730513186301309,0.5351627784619338,0.5637970406446475,0.5604958361749016,0.5160125720490837,0.539036228671351,0.6176199194155759,0.6414279114976079,0.6567268531313294,0.6642360422400765,0.7126235360232666,0.7573072295916805,0.7678904625958267,0.7836873081837197,0.8459661578344437,0.915465229414378,0.9437428176042773,1.0019515152605085,0.8603089199665314,0.7365552726347625,0.7591930490841063,0.8018875427130574,1.5498018026682534,1.11664587417029,1.192936987974032,0.6717258431353555,0.6492892910520945,0.7072718328931173,0.6898145261337919,0.677629676145214,0.6304272117233556,0.6149221921220429,0.7465661506351597,0.7628215562748835,0.5905500092668514,1.0125655942485556,1.0037985470528832,0.8378890590126724,1.230230656046099,0.5516805421209752,0.6996152209826633,0.6217207898030972,0.6444552609050167,0.7838431722623855,0.8014299032881079,0.9098206049880763,0.7243502472215478,0.6962215420209737,0.8497317219113906,0.8153346737498984,0.6974710124524921,0.8342753902506779,0.9366268789626809,0.7848077866077366,0.7504982789688047,0.8762778937925445,0.9651683858117216,0.7923112843513556,0.7616682735010926,0.7066601022950371,0.6687640193263503,0.626816629224171,0.601183514225722,0.6633081073272584,0.6153673474758152,0.5617792361866534,0.5882134062876498,0.653863171999115,0.5721127095898115,0.6754783201877016,0.8995348832807752,0.7918707172839997,0.7551918913974763,0.9065344339041941,1.1386534084843167,1.0140567848031303,0.8510359592117918,1.2868652922280268,1.3706574114323458,1.031906088231257,0.9374771466129983,0.7896209354159825,0.7979724619820449,0.9903432328929562,0.7686740906394604,0.8009956376842691,0.6936727503835651,0.6053228379143236,0.5526953372412541,0.5417459872189084,0.5695868748158348,0.6430721682989846,0.6258523547776164,0.6223880933944611,1.2479844423433342,0.6942720418380293,0.6992167648974772,0.7387053913701137,1.0066490347911434,0.6979455680361428,0.7884046820274824,0.808762779532001,1.9351719987085425,2.035178833144433,2.1241765219404294],[0.46896279615411285,0.5443242421398644,0.6527652567134071,0.5747379018611265,0.6605436423307502,0.5628756642586594,0.4422639040052314,0.4635423921211388,0.5006874892768826,0.3996694786804342,0.38371593842345914,0.44456343418889754,0.3925681446023677,0.3651198656995215,0.44721784945575627,0.35735917613551677,0.33973222105445217,0.33826807093454303,0.4894212625378278,0.4144657253237113,0.482812621630018,0.5097805266317448,0.8335807250194811,0.8428494526316865,1.0561598721631205,0.6919163991946247,0.4316328620082723,0.37007253685360997,0.3554401547802291,0.31861157012547836,0.39870284687409174,0.33729395392492856,0.37300256222827977,0.36828536092703945,0.34659818017405347,0.3542759632773137,0.39314256947925835,0.4527055368415891,0.3619450646485562,0.44227524519828304,0.5518412543429377,0.514256666575131,0.5707594244548401,0.8914536462548174,0.9660034757620386,1.6429585385892689,1.9336190656812924,1.0973484971430139,1.2937666643615238,1.9095538791447113,1.4236435345354317,1.4521894154720727,1.1626113519499026,0.9011769028572253,1.1519367884840472,0.7452053661386032,0.806436775125252,0.7657969522170327,0.7633823755733693,1.0869636620924865,0.725980583831319,0.6518176284367336,0.49500730337146825,0.5665772208967713,0.5322412861082645,0.49136841367625206,0.6299754500181606,0.42292557368679934,0.5556558607558489,0.5947213805795772,0.6954198884599825,0.9155808277953402,0.6347417021366119,0.739370750853027,0.4901691367028293,0.8265818532729742,0.46502050101994846,0.4182388547761464,0.4527351611482406,0.5771824017860255,0.41664134104718986,0.638874778245002,0.63171037896765,0.6353106517217669,0.753316595959499,0.40505544921445436,0.387912895561032,0.5133341175989933,0.3821923546650912,0.4167673171131991,0.42556152507010975,0.8366652451818746,0.617269080785039,0.4277191247326206,0.41458191437531056,0.5567153077661265,0.6209759024727461,0.4447697781464113,0.41761900087379966,0.5243760670082034,0.3564477283147393,0.4947882661015189,0.4017937067730064,0.4343974724426284,0.45338550772581926,0.5337402932826889,0.5475309483565723,0.49747096036432276,0.4750990348503655,0.6457834937700765,0.4807115034979241,0.39430787782240095,0.36327228877399476,0.32480257941011476,0.36332863444515223,0.33199425427352686,0.3845675610698687,0.3993161738667845,0.5661862979189185,0.4059753624459661,0.4625933865611484,0.37884081455077745,0.3537856798450616,0.34592495801961964,0.42598445193160966,0.3343828966912318,0.6376959432454825,0.42556785694533134,0.4493758805312352,0.41675031213823177,0.4676821442743582,0.45641546177819653,0.4753643320713487,0.4141858929588189,0.4349303964791202,0.5329431917357347,0.5057047860801475,0.4447335065419285,0.35901433571888064,0.35525268018900197,0.5045617060825843,0.7154551139472619,0.43078198043491317,0.3460298782699485,0.3693963774627562,0.34464846334635757,0.328235227248745,0.3582991910800468,0.34765559068500396,0.42799844497861317,0.4084701037566763,0.5915890139469061,0.7414977157854713,1.343336559092621,1.1824961728551286,0.4575044720230329,0.405894985907059,0.40036199270750233,0.37201113132824065,0.3723109143969861,0.40695741493415305,0.3382545494174006,0.36183150273990017,0.4076963545659487,0.5103894526385968,0.6474664690023818,0.5793879303555586,0.8003579953695377,0.7539466672018884,0.668051920548878,0.5020002568809647,0.43095403480217015,0.4062941577950421,0.3746033182830616,0.35934669556653487,0.37101122559223526,0.3849586793706165,0.45712195550789725,0.3967504625969017,0.3810139753720513,0.7453581162151579,0.40543581477333035,0.4622054661957409,0.5163629797760763,0.5032256576035058,0.5489956024338344,0.6269819384865116,0.8427823799966617,1.4010346823793263,1.02959694894656,1.2155083624468568,1.160045893224548,0.9041380507616328,0.8962997477763259,0.7297479018571082,0.7609595779107704,0.6493979536513667,0.5988055572567721,0.5080154397508249,0.7077191051032832,0.5401038385795323,0.5572997669609792,0.5620852508835326,0.5322439454487949,0.5562890654670788,0.624746341905152,0.6186425955077731,0.6351657091352791,0.6487655196717675,0.6941473594882102,0.7593967257383104,0.7635922379127221,0.758404679499411,0.8511800244772697,0.928436312896538,0.9792401138118394,1.0157639868475405,0.8525168228280908,0.7107198041545502,0.7341566765110943,0.7863313846344522,1.50771016405102,1.142840821147203,1.3708271597226425,0.728070591640722,0.5890701682787889,0.6496458029520424,0.640791549220625,0.6081566723193029,0.56759396423097,0.6534574278496524,0.7869011429992449,0.7730044256014912,0.5998217065096633,0.9675445160119281,0.9551387940054914,0.8282277744463304,1.1778398089273472,0.5178543268100797,0.6474117397735462,0.6055288057601329,0.6719317197650333,0.7796284369762551,0.7573184098898342,0.839476775999804,0.673172380148859,0.6847000758955333,0.7776014840771464,0.7827172445469431,0.709300781500173,0.8040484102521887,0.911931184645177,0.7657914673764031,0.73026348623969,0.8395318705342019,0.8879892262316788,0.7415053753823583,0.7178603789252727,0.6934335805981133,0.6369385821946145,0.629690644795098,0.6344450720621975,0.6281388873675349,0.6198218590610589,0.606389058314932,0.6025884907873255,0.6503861714707034,0.598553114693408,0.6984468927958984,0.9207472604112463,0.817099770963514,0.7772389169691514,0.933033343780228,1.1407581037218317,1.0162989560882911,0.8490086008886842,1.2844620862281648,1.3967181249299685,1.011193760617964,0.9459301589422812,0.7941110323403245,0.8210389609899134,1.042278785441024,0.7760005329549837,0.8019493011482213,0.6953956970054865,0.5787441040232959,0.5357784579148971,0.5317637079364425,0.4870368280459675,0.6501764617950873,0.6220738163281021,0.6661637061531895,1.1195022949177562,0.8165010488475641,0.7456185181069972,0.7829995918035108,1.1254989133758078,0.5641858407278497,0.6325046137750663,0.8223480942132696,2.13402051019858,2.115443044054318,2.35726330803673],[0.5438702321699835,0.6197038623886568,0.7805512032841994,0.6522603971685857,0.788252376231569,0.6971236955151187,0.6276537071021571,0.6497926867830714,0.638869767963308,0.555623496705246,0.5136222929043613,0.5781062657032615,0.554665602115596,0.48985716101044546,0.556127519754775,0.4843759948805702,0.4370919900742884,0.42013367028887316,0.508584247538296,0.4635224343510317,0.537315646394773,0.61697840783076,0.8553861717943616,0.8938471583984867,1.0568444806528077,0.6837610752302108,0.4701692955627768,0.45084624190852807,0.4471658282283195,0.46568964615004926,0.4905897424540127,0.47232201295723175,0.4976676245545811,0.4880845841727286,0.4694800196691001,0.4610715241043587,0.5210372916167147,0.5827702808251778,0.4601212716180073,0.585562049719428,0.604265475547521,0.5552174049207658,0.6429490746049604,0.9716432734504576,1.0721090900630639,1.6757573133569117,2.0692934044587346,1.2135044913851583,1.3753259053923266,1.944265845568099,1.486461321466349,1.525886523550813,1.2385064712278078,0.8942553416274227,1.0894246081062913,0.8678891034105269,0.900008660541289,0.824315585433003,0.8111762047741012,1.2110537162619377,0.8034356150381291,0.6940722301407121,0.5600505528825113,0.6436692503487681,0.5972691857491895,0.5474226400684546,0.6743081025180301,0.46777113040837215,0.5724875559611,0.6645628704610083,0.7614350061198341,1.0340502326845087,0.6850128983073362,0.7800554064021487,0.5388944834449849,0.8214058588316914,0.527451771609801,0.50621451766797,0.5609999300404406,0.7097240117022868,0.5087554627383358,0.7249634828677956,0.6922011930997641,0.7272148773217009,0.734237664378912,0.48628720905748174,0.47022341841464094,0.5995278942555778,0.48284332796938056,0.5174541196102598,0.5203886174007787,0.9072104034554617,0.7059579636866031,0.5278210530887902,0.5238046587184971,0.6513884871506065,0.7259523782755085,0.5760356314392577,0.5555878534156168,0.5886092102678891,0.5178067343735777,0.6026577582236149,0.5897355064598483,0.6497163630785372,0.6472634207763115,0.7695550675092304,0.8004187158570475,0.751760091774715,0.7413668976950207,0.8498755576172491,0.7305402774739932,0.6476635449163329,0.5905399517972392,0.5515510926621412,0.5624473965000626,0.48881948002084274,0.4593796095782109,0.41980205661268183,0.6051222072074401,0.46350767139864557,0.5059021299263594,0.4678868214451129,0.43865592587027963,0.5598888921187403,0.6384433942460436,0.603780931071977,0.8788975758764196,0.6843022704458346,0.7415735751561925,0.6256254291729004,0.7153329992877231,0.686758870040952,0.6446983461581108,0.5673093127353397,0.5735902953999178,0.6096698518835931,0.6700638822567664,0.5732876911328898,0.49705713804459284,0.4347589882914971,0.431862609395182,0.7075896432155148,0.46054364659274105,0.42866125216483425,0.45774327003898574,0.46336856943966037,0.47977063851215535,0.5390220973153032,0.5817456597383817,0.6336670731002416,0.6060970744562368,0.7584785828649684,0.8129101273599615,1.3441389821355756,1.1500814740438932,0.5871247381345669,0.5587490756271537,0.5968197193134468,0.5681375226108697,0.5780778518308116,0.5946379143215295,0.4991874403111907,0.47879252681161355,0.5005244416529584,0.6645549779647721,0.766823854906969,0.69240864457113,0.9128550066484856,0.8638707111636649,0.7256641392062644,0.6159138681982067,0.5293076369717864,0.511264745122167,0.4985753047268296,0.4922489772657923,0.5267105058333277,0.5404438194973403,0.5770226839131201,0.5096922199682011,0.5412579564192387,0.9495800971424139,0.6074151117430364,0.6358355148965292,0.6143514004766079,0.6081970802815763,0.6681437783459582,0.8175767510309704,1.1196809808908308,1.5931025352752577,1.2047925486944673,1.3883980625703425,1.3127420906060658,1.038453909118067,1.086880199918545,1.0288278920063036,0.9931862591059857,0.8763122383585926,0.8618626746775617,0.7797183696464431,0.9564035164445633,0.8153577730398341,0.828180555159561,0.824874692275926,0.7738712292516576,0.7935612599864084,0.8360812827523488,0.7993651341079063,0.8010860257012934,0.8174482532338426,0.8415225566727171,0.8950983768419407,0.8923799653314928,0.8656921593191691,0.9536779412327919,1.0503860561956082,1.1156922557241105,1.1173100190725576,0.9936846044851024,0.856174185780689,0.8648306059817229,0.9103410755128887,1.4464482033817303,1.304718451788806,1.5140567949432333,0.9276130961767262,0.7890995026169317,0.8456884919503799,0.8347824436250222,0.7866898319306103,0.7699371308313315,0.8802311974777282,0.9891833162463406,0.9053532846907676,0.8142757706074379,1.1482558739791071,1.095935058757424,1.0095312985514857,1.1901142740972317,0.7446618707100766,0.8945194541224002,0.8632498723157694,0.9088973494332109,1.0119533054732568,0.9647591374691808,1.0673720808455722,0.9007835849379694,0.9005647293328185,0.9740566935934389,0.9997580892020487,0.9082984702353284,0.9606133457675314,1.0500534653120317,0.9162581207833711,0.8847066334750472,0.9582360572270678,0.9712980773814718,0.8624105913651627,0.84936695188628,0.8440038344304253,0.8037594972124279,0.8246132433619242,0.8453749489560436,0.7861588997508727,0.8008514598227822,0.8061028721371939,0.785711805175112,0.8126701407964061,0.7912241647055681,0.8704028680936239,1.0561645931242458,0.9611778137184843,0.9281402446634647,1.1304021142597778,1.3035457481438117,1.1701524686420026,0.9722050147573965,1.4435368314361694,1.4546064667721832,1.099512389070334,1.0662356181442647,0.9504780392034454,0.9768866818280377,1.1795380479325617,0.9267470338934539,0.9292229553319002,0.874370458225173,0.7502900454985697,0.7527065897368136,0.7992161905117889,0.7385582499975563,0.8614656862263407,0.8507810311898529,0.8684874854097889,1.2253229887941153,1.0331204424947864,0.9226976527993374,0.9517279655195651,1.2864853123377658,0.6984360244323404,0.7451468176331734,0.980175665988935,2.2310953949165713,2.1941913317113944,2.599342666372453],[0.4919101665598849,0.5336065855668289,0.5868612346605947,0.5119415989753725,0.5791257389844096,0.6102151833478602,0.5346567265021802,0.5372866004267223,0.5752680459688748,0.5405185412627899,0.5502311496886771,0.6044589521637177,0.5597310560745339,0.548286655558584,0.6275214791097113,0.537163933382996,0.5327772161203739,0.5099199922389264,0.5954449286603753,0.5363782672123483,0.5679835582515341,0.6067726619451582,0.8438949077032768,0.889716286897927,1.0943473436084812,0.7627263951132827,0.5724163876034541,0.5003117489627515,0.5058027238532562,0.5112805612457455,0.5492563010084858,0.5065643781343606,0.5501270729358544,0.569195380609711,0.5200896119774799,0.5164208927021625,0.5297600722690808,0.6028181404168457,0.49838813627333794,0.5151799848465444,0.6264535011114548,0.6258023712560101,0.7184103335775328,1.04358497802066,1.0612444639285417,1.6518029094956106,2.029755449270081,1.2143143352328845,1.4374340018836633,1.9736297686554793,1.532096834031694,1.5289866158380057,1.2766215991391743,1.027524014242877,1.2549634172906394,0.9101041362838566,0.9254245025171682,0.8887399778639162,0.8379064178425728,1.1961034655954506,0.8158283871831612,0.7217017928520623,0.5832050586551291,0.6812736246098621,0.6246442881255645,0.5733955436782869,0.6962625805671335,0.5447612196930252,0.6404009193410686,0.7407331331672354,0.8106695660145866,1.0735315599741224,0.7549453973051209,0.8471184795468704,0.5801565774826756,0.8836475612162441,0.6083045532293848,0.5795328748479461,0.5772055460000991,0.6816686444778179,0.5286145447380789,0.6966103745398826,0.7241881868561284,0.7940404602104596,0.9207394821142945,0.5431208365206187,0.5212135128495528,0.626310412586216,0.5374286940169906,0.5569917752868311,0.6050582121259963,0.9439746274402592,0.7601125078546107,0.6287670058262048,0.6004194670966411,0.760222357526201,0.7960205700619551,0.6232934419384187,0.5899797611266805,0.684179158993136,0.5026694496733494,0.5572096673974648,0.5378120222285906,0.5246846776134131,0.47143055782354576,0.5520628329070174,0.5550738615630869,0.4869742578850177,0.4426941744811607,0.6195804131967224,0.46917704058970255,0.44951833779933326,0.4607342523920766,0.4349394055974105,0.5132251530190837,0.45883019647495726,0.48834446223960076,0.466463228350708,0.6519365547345038,0.5553211063620499,0.6286165211445722,0.5644110861394049,0.49425696155047655,0.5468435534893159,0.555584290987985,0.4769245583971302,0.7594673602434546,0.4577682992116124,0.456192475763629,0.4281385532667897,0.43914471021427676,0.41804563636540104,0.45292007755829616,0.43860557082690765,0.4163089659245787,0.47387664104877375,0.45447973906115435,0.41159957444587225,0.3989873744627419,0.36564315833747446,0.45535573808467517,0.7604082917455591,0.5005232646345282,0.4270916641455915,0.46304710556152573,0.4559269338459903,0.4448670857636643,0.4768646394116021,0.45957616690647785,0.5457508041141731,0.5096773002714267,0.653978696397954,0.7391608631967312,1.3209657572627476,1.3832253896009619,0.5944113266881975,0.561569021891689,0.5164186443162817,0.5148610764048052,0.4633631633320434,0.5054919933909527,0.45776809067267804,0.41459423483903074,0.4826459754855103,0.5606832106913078,0.6361491446862181,0.5710149941577148,0.8171152481781268,0.734517879716211,0.598271941663659,0.47295600970115015,0.42656745109747385,0.4328062321886936,0.43071971501549633,0.45071368280383556,0.4664432662217437,0.5428541340471051,0.5595925199118859,0.5289410881203066,0.4658841353842569,0.7095755592646593,0.46227995579216197,0.5194345932392391,0.5304538694232195,0.515366150576565,0.6085141992475412,0.6899877646050131,0.9196887775705742,1.489908159530203,1.089747517810009,1.2750577965645695,1.2733777951148832,0.9482961207882126,0.9248711842432247,0.7978860139679996,0.7921076510633155,0.6643772765613986,0.6001472771642481,0.4962209503386447,0.6976594023785441,0.5160689342001445,0.5375932674247346,0.5298391441993602,0.4860206310998924,0.500927968295368,0.5653639059813124,0.5775363499004671,0.5775218095922686,0.5751353835291824,0.6272074138974794,0.6934979056061469,0.6822814101999116,0.6789008550156179,0.7910897893192497,0.8677696639751199,0.9430149853238181,0.9517531608269914,0.838192528915144,0.6681221643946544,0.6714075242997666,0.7433674767957491,1.5017134840051478,1.1685053525933062,1.2892944300313391,0.6926966204130636,0.583430371400501,0.6271713929483165,0.6591852773029939,0.5907287679126668,0.581715634094761,0.6167521290673845,0.768195132711045,0.7139556011833524,0.5851773205174987,1.0837730557477845,0.9692915030746917,0.8571423185503495,1.1777707155655033,0.5077516548805476,0.7096237844371074,0.6138178202511893,0.6469833306635078,0.7939538056509581,0.7511066099033574,0.8770183392207361,0.6636831584083555,0.6714509893426581,0.8031750041570057,0.794720707738691,0.6648097874736925,0.7748639894191583,0.8826451266424984,0.701237374022835,0.6682255347113645,0.7823585955823703,0.8266916600687286,0.6663475120054189,0.6369485065267713,0.6132831557926138,0.5623644505923234,0.5643392607468678,0.584930757381019,0.55131676255932,0.5648392553497504,0.5474816412991866,0.5480352255141447,0.596505417211803,0.5487156274471616,0.6398499098651486,0.895213677504247,0.7849740330494465,0.7529659067959142,0.9474609222105471,1.1448831756278453,1.0226462781104786,0.8457788400342477,1.3729961145105627,1.4406792102931512,1.0007918524364356,0.9568820688229663,0.7824343652862544,0.790637912224473,1.0696029813687513,0.8030561519653722,0.8372238328107013,0.7373816943544645,0.5631994182641504,0.5106730666866961,0.5013947383277331,0.4566457574316315,0.6001668811289044,0.5740328474761062,0.6071361027799234,1.1475100494459356,0.7280879785831237,0.6859675391857991,0.732424219962952,1.049645790489425,0.5361220270377756,0.5732684381797188,0.9279578476627015,2.3112105216709997,2.4929577373441747,2.860111818552475],[0.6457091058928118,0.6773774022571295,0.644106171831453,0.636487507434788,0.560571092884453,0.5843517532620598,0.4318558787573951,0.3937177739763378,0.4525462942622298,0.3491215034911189,0.34195139199812674,0.3921283866229816,0.34645310677817026,0.34565379633720933,0.48831727870667757,0.40324301891515707,0.5248446516609017,0.5641485376098295,0.7642247309741629,0.7133884639186563,0.7458568301218954,0.6664003317189898,1.1061640010958451,1.0450364989905117,1.339422389258177,1.0046081972531962,0.7644508026075184,0.6568150109758449,0.57298751108465,0.46510106490822795,0.5148163333593815,0.4289601933282222,0.45605150157213264,0.5022020568188288,0.5169824541500363,0.546316566987542,0.5343573337974096,0.6379898862247209,0.6368596256484403,0.6299128191425601,0.6893618636428938,0.8522621771653937,0.902037163624877,1.1672694583609764,0.9813741755827239,1.5571943619335338,1.7817764320815312,1.142232733176049,1.4098777385898285,2.0419164297422006,1.6288841278855684,1.600447937342276,1.3770820914071995,1.175985177886297,1.400278804280026,0.97147357131756,1.0442455548114156,1.0607956031002828,1.0349866606392206,1.2539004156469848,0.9414507032251924,0.898281256936339,0.7438541887563602,0.7714192899220468,0.7822730062388956,0.756826124076686,0.8391281704296534,0.675338629920882,0.7456030317743536,0.746492194329212,0.823892559467482,0.9773059246215817,0.7666946102162289,0.8731450496601519,0.6832397357091169,1.0423165331188384,0.7173843002682468,0.6430271830848695,0.6480062997227872,0.7341251535802933,0.622320399564189,0.7652049128356525,0.7537043500912711,0.8800772107924649,1.0372303920833426,0.6596848632806386,0.6286610140930319,0.6473092933291897,0.5884514898858463,0.5606026939430754,0.5881159267987643,0.9171134455994301,0.7011766122530282,0.48486553563190476,0.44145319890064744,0.5652418687264146,0.6230315424889553,0.46664120788101915,0.4234873617402329,0.5207535200184548,0.377560861712015,0.47539980782191854,0.43390657652571335,0.40651869502587273,0.44957374485763896,0.4384630153814933,0.444778386401627,0.4258279474108648,0.3456247810037113,0.5672020700483733,0.3391748879887141,0.30961482718053107,0.3002828195192755,0.30260635510468603,0.3693396689983257,0.5170661939691427,0.6253378450973905,0.7588471771771587,0.8568507197993792,0.6298079687569762,0.6402514033787104,0.5044533442974958,0.5613235768881012,0.33104195123278757,0.35904587769325236,0.2876800814360176,0.6495471306918054,0.33603142372097866,0.339124034653103,0.42119594560102414,0.3638084435298576,0.3852301126904148,0.4799729999465825,0.5197501262043672,0.5032370066605358,0.561392186941312,0.4453870469939175,0.46251214784313716,0.4813714453920788,0.5997201501592816,0.80045747626579,0.9779207418045999,0.786176702872538,0.6712128804793754,0.6800843258162724,0.5844181755040682,0.5369458525792843,0.4589038868152194,0.34356021818538407,0.3501461172870231,0.35411374797146483,0.5013811347396676,0.6314987150469237,1.2443937611075522,1.224591126479244,0.4027561295525945,0.3835196070996209,0.34638054318881223,0.36155655417167504,0.3577864237345939,0.496734559308606,0.5342995374390707,0.6016523651502281,0.6751953408348516,0.6878759629893249,0.6993337547871744,0.6392899559062515,0.783293924776848,0.6817569350503575,0.634135543471814,0.5245767137026506,0.5735715885125425,0.5975418135302991,0.572703641499572,0.5624702297456067,0.5076760402455665,0.5282275048165784,0.5426756362249535,0.6125119349305741,0.5262348041024243,0.6916995720445925,0.4630170024861675,0.5504715825785818,0.6522445906326497,0.6521931982771217,0.7345167085443649,0.705079374738858,0.8869078064107923,1.3149989907519577,1.0404890037993826,1.2013085287424703,1.2292945036413832,0.9258172392179661,0.8266560783355207,0.6322210647438828,0.6269570082019034,0.5434897682846578,0.45866725528689695,0.40071543237574603,0.6022435004836082,0.4279036128305451,0.45070804895589567,0.442223824910735,0.43160840384932275,0.4594401217537053,0.5405518354980963,0.5786171708539984,0.5698899190672005,0.5863838774581066,0.6460398024726589,0.7012841465841035,0.6957543343482603,0.7186247252027691,0.8269619761117277,0.8627455895481588,0.9121726297535483,0.9575478619940456,0.7906314214822843,0.6382640049091597,0.641494983605224,0.7013118931549629,1.5738001112428495,1.1282921486667572,1.3334431976626446,0.6762231542060975,0.5652616932350988,0.5875884099889896,0.6216295082189692,0.5674938482586178,0.5408576630775741,0.5283583467471923,0.6616819959284843,0.6484988471240505,0.4950513017401308,1.0141320579035715,0.895417118222382,0.7842386111150359,1.2309288384188224,0.45701215745176527,0.6211627621082724,0.5283072166591039,0.5710816315340834,0.7148721625245494,0.6962883790079853,0.7961437208311768,0.593373211296692,0.6367173934672443,0.757494917469967,0.7383561681342188,0.6350138263511269,0.7694959904079688,0.8780549432240133,0.707092978522387,0.6889893658913806,0.8143639008943631,0.8545138920858798,0.6971272755564947,0.6761646393624263,0.6474176675440216,0.5690391384072526,0.5447518668274633,0.5536995795063943,0.5372554693931548,0.5588608776444791,0.518687865997933,0.5197048802362649,0.5667384872665785,0.5096338504005058,0.5758290438976749,0.8196279821150717,0.7109906285104434,0.6819515877881905,0.8088098296451273,1.0139705950898559,0.9083522760812222,0.7873236045298468,1.2240728741408857,1.3898079375775496,0.9201181235162567,0.9053566987879477,0.7530143420898624,0.7868617793111732,1.0789576297970909,0.7905384687991732,0.8161560568566193,0.7423538944397011,0.5597688506704243,0.49712251503013255,0.41331687191953037,0.39959320844524615,0.5556277632912253,0.4919845704410155,0.5675773183489602,1.135813921919041,0.682381371465839,0.687664024959157,0.7613426367137657,1.0526871275336598,0.5837578842547346,0.6143952456117805,1.0928303849315852,2.5460247791518436,2.793151537014372,3.1545431721568944],[0.644835281885,0.6440569393673616,0.7127532233266254,0.6228081735917609,0.6895950885458996,0.8719997892748812,0.9420426510952185,1.0083432403754766,1.0869504373644703,1.0676918006907377,1.047449778438432,1.0530099196676135,1.0140631581107333,1.0095363553714907,0.9876162243547656,0.9173578808271581,0.796487959150438,0.72048186362161,0.5879244287473052,0.5629782488861446,0.5839187010250362,0.6733342138188965,0.8357739534157147,0.8315423209793001,0.9598395385718914,0.5866559335782108,0.42661678004632897,0.6083067345433174,0.7072654533213549,0.791410660346442,0.8446544170090263,0.8503853966342674,0.8814551207499904,0.783707616787874,0.7484661838869796,0.7025105619497881,0.7655654442526248,0.6812062211981808,0.5253198220789551,0.5749829726580417,0.5752876231096046,0.4902954661975361,0.49164396967996343,0.7649583211744176,0.9804592363736967,1.6790451439185967,1.9360843586662861,1.061583634985365,1.2147705039755237,1.8632120821105054,1.360155786926688,1.3828942550391623,1.113285710049466,0.805895892550425,1.0529913066552732,0.6973561202930179,0.7471389680933793,0.7311059876000852,0.7328440804030876,1.086359129906441,0.7481646686360343,0.6868584128595313,0.6395531385565332,0.6319568135020486,0.6074718803375997,0.6177664124574649,0.7771420207571544,0.635292680102665,0.7195142633504559,0.8852288119173267,0.9696171230770285,1.1481771792685012,0.8639934727333729,0.8236633769658639,0.8200141220680257,0.8863174460990989,0.611357316739438,0.6622252992600605,0.7004703726222062,0.7495196351543255,0.6158126454725428,0.7714969188562891,0.7109364848323644,0.6840670830910904,0.6727409530199675,0.5383052927498776,0.5593193856385918,0.7568508882374423,0.6327549604034333,0.7440276631314765,0.7479292081176437,1.0794500193377417,0.952509106011945,0.8675124356871337,0.9310095908869251,1.0136873647999187,1.1492964141095312,0.9972091517014026,0.9895639744812933,0.9243962642558272,0.9095394763572456,0.8924371235680779,0.85190409313261,0.8561739056740347,0.6962769660725984,0.8335862600042431,0.7822026535297263,0.6431268139643924,0.6432038763968457,0.8456976813949396,0.7977807758885768,0.7858216221531743,0.8864444784518558,0.8260531163640304,0.9832066781363571,0.8761269658482226,0.7690649354513586,0.5199129957765497,0.5910558327715317,0.7096113267813392,0.7031611201310152,0.8493012273412663,0.8784557767265126,1.049516516319401,1.0722830306265103,0.8531266855880657,0.9924561207727824,0.7156175153867798,0.673004707296907,0.5268647317316287,0.469462757689525,0.432724154182478,0.42288434172211176,0.41652334474093583,0.3858393087477029,0.49372609392016287,0.4328513253197675,0.41800045925223045,0.4278992838636695,0.3729049773984462,0.35023627950328196,0.5821776307347013,0.35411564154215847,0.42537472868668363,0.4158883087932915,0.6339373377134769,0.6966083050986607,0.8348367583558595,0.858870600030552,0.981680363648135,0.8878083284531805,1.0988415658200237,1.0007457727516238,1.4382280033116053,1.1436575165375185,0.9452841150072675,0.9285488814171279,0.9093887951283046,0.8934446534802711,0.7748422889530361,0.692768838448077,0.6311610578883529,0.46678895745310367,0.4491008777720076,0.5002090996794187,0.5711264435298016,0.5188097765869982,0.7497194133499792,0.7036895832557339,0.5879504945424978,0.4327312970384893,0.37228937068081464,0.3854429510113978,0.43902343596117666,0.5120076660720225,0.6071507362952137,0.7049110576808668,0.6967950651911942,0.5478610702036875,0.5528859863423906,0.8756378645078224,0.5763678724422738,0.5186727893944256,0.49702959095291954,0.46049403238063674,0.5193797411673856,0.6826090935887194,0.8836812128862875,1.3334601008276799,0.9714141071194691,1.1388089338255127,1.1811095922290082,0.8965387106296607,0.8219140497214554,0.6777572421048865,0.7262511838575735,0.6182840812637317,0.5572439462288199,0.48438383576458255,0.7539803711300589,0.5738613378984776,0.712932515361902,0.7064754712903488,0.5491579202531673,0.6182527592463742,0.766658869331926,0.6325928932701669,0.6139190044136218,0.7209821954973884,0.7649921486987069,0.7453584452419357,0.7469686255886722,0.8150642727696367,0.8672845009492471,0.8714282261008857,0.9186365842664106,0.9098932920429725,0.7920346252587286,0.6397837613225463,0.6429750142931989,0.693055670279629,1.4388493563129299,1.1636506043062569,1.2375091063383912,0.7099832053907916,0.6176775552727791,0.6772314261634174,0.6414208529404366,0.5786150476970242,0.6088852290026937,0.6008593448393716,0.6933771218278347,0.6267471199616876,0.5258614242301777,1.1016830446815589,0.9502895506728624,0.7945081494024505,1.2268270504176726,0.4738395724299483,0.7630558775431951,0.661896560417396,0.737128801167199,0.9405593874624408,0.9235154193276647,1.0828894374601103,0.8572162071174618,0.87031260890972,1.0273720023286061,1.0502283538517947,0.8799822986930598,0.9866689573031016,1.1182514609224468,0.9199778324804122,0.8447524748256535,0.9901662892588835,0.9856349646086752,0.8079489783181627,0.7763648851358517,0.708746515108521,0.6678619510401331,0.6935709612298577,0.6665973695817671,0.5706851231845614,0.6099984792026408,0.5631266726772174,0.5101189948667334,0.557538301639116,0.49851946898551686,0.5480612314444239,0.7786712682133369,0.6728068075231575,0.6519234340213147,0.8199951626843254,0.9936176154359495,0.8974266800516834,0.7862161557758884,1.4207004907557763,1.5872994886230154,0.929870921368433,0.9219608337734992,0.7694611881444366,0.8193382521289119,1.0729130626789907,0.8118715065128443,0.8761775611228451,0.716568067944886,0.5371390686755307,0.5546745485238164,0.5590125533966352,0.6231358840478372,0.7934300408201672,0.8723164912153029,0.9067607364798757,1.3170066147660402,1.1371242815240339,0.9831559478820885,1.131046752058076,1.5185757853129433,0.8191114431185047,0.8053294453167475,1.345341352084819,2.6034019444814125,2.717285860246763,3.320673761759116],[0.6060611634109959,0.6505052723987996,0.7644184184171462,0.6177588483146913,0.7488524422085858,0.7587072694126448,0.7335877821144595,0.7657790046461512,0.7544345310586485,0.7053027571952125,0.6726450617562488,0.7196602750177838,0.7018375572328163,0.6610353100807382,0.6964374166257172,0.6335626384159919,0.5692081254100327,0.5465768502252706,0.5605396466137763,0.5074222989602468,0.5643442734611696,0.6557941076445332,0.8913554402988124,0.9136886132658226,1.0352638529363212,0.6455061156064923,0.5010304938401862,0.5315485416594364,0.557542589541226,0.5960081298082763,0.6188312331552978,0.6142510862399322,0.6355502341323729,0.6076737702011829,0.5756369981959956,0.557602412974622,0.6027520023487036,0.6314379911447853,0.49103775121900384,0.6055237769854569,0.5819148749142052,0.5236949115369057,0.6093246470839235,0.935510104109433,1.0699372459624594,1.6613710749230146,2.0555416249706058,1.1966269143135049,1.354387279926825,1.9539544832078586,1.4996598613721033,1.5552354487616453,1.269599126056182,0.919242015554975,1.1295008092703929,0.8866719139471415,0.8877739110334719,0.8293060081370939,0.8049598161462853,1.1924574759546547,0.7834808906021705,0.6802555073115695,0.6055969007596618,0.6805827155828194,0.6198067230871438,0.5665010062082058,0.6999759307178417,0.5441871372212176,0.6751006868768854,0.759431174286688,0.8790220379660428,1.1741261057365786,0.7741114883584107,0.8524783885525773,0.643270936735599,0.8520644464902979,0.583234130177307,0.5581301500350379,0.6079801950228781,0.7404725326071302,0.5682645914414791,0.7492657650043464,0.6997807169561007,0.7917818940164969,0.76369154637634,0.5235186739892572,0.5180411325573698,0.6733290354706104,0.5593463121426016,0.6076972358884467,0.6045587009907158,0.9244245648318199,0.7774659856237851,0.6614946938599686,0.6687097352868939,0.784440650185701,0.8685798564593454,0.705511661248091,0.6870502867301814,0.6941612906163973,0.6563441669396143,0.7112859353957425,0.7127777066508105,0.7633088973903258,0.7162783702173734,0.857208110523885,0.8988761138658413,0.8240509450404134,0.7914839111370545,0.8739516645662005,0.7949799474983611,0.741298026286665,0.7059134931615986,0.6669922950593385,0.7021600901894509,0.6482308665779393,0.5605992388460279,0.50052828532741,0.613187134042233,0.5589450682988195,0.5984720344358946,0.5997453530568745,0.6326612503245509,0.7408228377396942,0.7724359425960227,0.7458514332762771,0.9819695596246379,0.7709152762384446,0.824080166159575,0.687365815949459,0.7553548702840285,0.724295790330724,0.6965426854761368,0.6252057062555189,0.6399454624334509,0.6562918884992602,0.6938693389659378,0.6253894787198975,0.6177774814135829,0.51260723053445,0.36242879920802185,0.6623307023041665,0.4499470952786637,0.48645094070361133,0.4876339435389384,0.5445753861759712,0.5862631856630999,0.6594769894569853,0.7042124338767247,0.7573594815244902,0.7185437920382534,0.8541082779407971,0.8191486376996093,1.280970312100861,1.1298548227931147,0.703366795763569,0.6920324433018799,0.7167101837869245,0.7000790443635097,0.6871276501438023,0.6988546881181181,0.5764240323745534,0.5391489985906063,0.5366473569450464,0.7126668779433757,0.7664441200706515,0.7075565546771161,0.9097121114468117,0.8509717789961185,0.7250240814064189,0.6595017769633998,0.5915494441530862,0.5853997015051225,0.5711992679969344,0.5601281558890002,0.5997351266012729,0.627540135596106,0.6315222240920961,0.5813542453450995,0.5949819804495903,0.954003244758736,0.692603951526083,0.7098526313047718,0.678936535486732,0.6594215984069048,0.7070941709375731,0.8408460296757571,1.1516300504274535,1.5514484182336736,1.195626051656946,1.3904312485139254,1.3973748869178335,1.0738070027231876,1.1140203201934413,1.062848581715934,1.0220189156854185,0.9159090167894363,0.8840732672891051,0.7995990350789648,0.977451859145269,0.8399894451351683,0.8918455246356293,0.8727299320703346,0.7910809942599606,0.8158536428547426,0.8785021446421872,0.8137091851936578,0.808834046114656,0.8399651374578683,0.8546540886297213,0.8845136409454054,0.8746506014056711,0.8586922412905865,0.9455112535076583,1.006938007668661,1.0741416741952865,1.0508460897565648,0.9693505201982068,0.8318183470153756,0.8374365480677414,0.8600641607840901,1.4308633518382659,1.3207047965665903,1.4373288998702798,0.9397542060436198,0.8296297052029968,0.8862968931593161,0.8495005336518208,0.7767045093649084,0.7861331024970024,0.8809852339928468,0.9789427209723088,0.8512184151917047,0.7902048411142927,1.2237119863320354,1.0087279920000118,0.9637601677135111,1.1513695453271071,0.7591918985716095,0.9818722021550059,0.9274004114992999,0.9689091562861474,1.1189018802799888,1.0718167559820837,1.18220232536518,1.0024221437010001,0.9887880344608968,1.0777092223562683,1.1015761522442895,0.9709229588730302,1.0202906461492705,1.1027867497846648,0.9537843380566582,0.9160407962573741,1.0005119774482725,0.978167283829804,0.8760517885575855,0.8657713824151095,0.8474414236208458,0.8205345940655536,0.8597534009732145,0.8744000224976501,0.7787347429848329,0.815147735449888,0.8064885238722008,0.7700154788989104,0.7949775017404214,0.7741646174413375,0.8174831368930537,0.9983840010506703,0.9127221647049972,0.8872050815643635,1.0806885444778374,1.20312840452146,1.0735116319226221,0.9141952850077397,1.4359391296443884,1.4781181628976725,1.045453123093512,1.042782247776809,0.9442027264409998,0.9690824152880495,1.181327429294474,0.940263054619058,0.9536413281094216,0.902484398582423,0.7860097818179668,0.7838753232416004,0.8213008153485506,0.791043705396515,0.8892604945948035,0.9060771135018023,0.9204597058741182,1.28065214810501,1.0761485791432595,0.9712368341571372,1.016556383752685,1.3385422195502938,0.7340587223718835,0.7373892410947911,1.2116933733281252,2.432898043966437,2.570577608690828,3.127720177847072],[0.604537981186406,0.6403336499631376,0.6417281873955474,0.5819390826033772,0.6427645084942712,0.7718319210879434,0.7791631118959972,0.8174902638403537,0.8369943045039602,0.8605674183004481,0.8835963124487325,0.9214886785758544,0.9214249080382455,0.9030857638073063,0.9510715761345283,0.9131991419986312,0.8968419742501484,0.8823578653368026,0.8342439689849964,0.8099288885771532,0.7834442209984995,0.8011513094838087,0.9750655203487942,0.9706379137390527,1.197230749393729,0.9071327295161579,0.8472735118123852,0.841628633059909,0.8733739095697096,0.8837089206638987,0.9345362748485369,0.9036469622327864,0.9379965109156381,0.9535754493289021,0.8855779980074785,0.8753000977180851,0.8401266199908012,0.8727458075920362,0.779014571120395,0.7178906831254943,0.8051496033309111,0.7848838553161508,0.8616262712276882,1.1509345275119367,1.1510158072555272,1.7008069314094234,2.0699773848728005,1.3207193317636925,1.5456813250297103,2.047489682973633,1.6395786521837679,1.6094884797943152,1.413224213882776,1.1922332135879157,1.4166396097552318,1.0574481662752557,1.051132605773032,1.0638051278074447,0.9788343087623871,1.2240573736048446,0.9161126487075819,0.86585538674988,0.8161810856293695,0.8824225983316415,0.7897398989396497,0.8019164971860993,0.8832425237782742,0.8528339158265388,0.9326934191413355,1.0248917003508453,1.0664063430367174,1.3436467152487979,1.0166583649337777,1.0867775810215756,0.8989960277457,1.0546522590088219,0.905860800209829,0.8783024274861758,0.8586040928503083,0.9095615729168776,0.816308920794419,0.9057651629592245,0.8950834007232195,1.0286234764948925,1.1230906375369838,0.8040158137158899,0.805721177172864,0.9434799965221645,0.8763590981508153,0.9207442321420101,0.9349655716177291,1.1249742035135761,1.0437115617232218,0.9996380218904335,0.9594657681177342,1.0625000506745637,1.0658320261503846,0.9492968094552092,0.9252140393263927,0.9693389869697879,0.9160353278562975,0.9126065289004325,0.9043101058804379,0.8259375364229223,0.7121752561144098,0.7733177784327385,0.7773142732829432,0.6606618953778293,0.6389652014735521,0.7914099274473696,0.7058993584079815,0.7389638701368552,0.7667371909153041,0.7528230691259562,0.8670000264761829,0.8262210150570776,0.8775699619154442,0.8397130270528885,0.8859338335206002,0.9053358527558477,0.9501616822478148,0.9263344900362451,0.8869815377887579,0.8728755564525655,0.8184864565808166,0.7384059592389147,0.9592681794526666,0.6808617026028159,0.6669089080786818,0.617790616632524,0.5868033277461588,0.5623987826775727,0.5552660123732015,0.5963364564152454,0.5486549606125071,0.6081259648484114,0.5790090204397709,0.5678902022850132,0.6068775310635095,0.5632482135130044,0.39827841947870696,0.7857351759156959,0.6622960757091653,0.69142673823343,0.6883720709141562,0.7913270211740436,0.802435102988383,0.8355518551071432,0.8001136896117736,0.8697086932555786,0.8163229793026283,0.9343523892329655,0.9576240855925359,1.3670660998997395,1.4561237609951716,0.9168656266985601,0.9112969350014776,0.8399025247085737,0.874938450205974,0.774616379557105,0.8039702994256487,0.7647821335312539,0.665707408270504,0.6733835104139833,0.6541510473751194,0.6294203382335163,0.5891949128675564,0.8017414389337071,0.7092939318080301,0.6021336882387767,0.5453321205068286,0.5655727054878115,0.6112264283502111,0.6409547804951328,0.6959261535204665,0.7379391800304889,0.870264671913682,0.8606336662951107,0.7878593330242386,0.7100240659349654,0.7731646331002677,0.6664874794103695,0.6580459498238959,0.6425388663028628,0.6048553895071294,0.7150646518380434,0.7828266189645529,0.9864552482184096,1.4485154033375829,1.0828779981586019,1.2536124162226714,1.3199414185007916,0.9534812266542837,0.913720917559587,0.8123378037535961,0.8264755679246629,0.7471414912327341,0.6931996701313551,0.6057532807684365,0.8251601070823654,0.6573855714018634,0.723170672030952,0.6902824684165558,0.587785242834149,0.6152668566307151,0.6927830917833032,0.6349596778224156,0.6266569942315411,0.6712165701652899,0.6836715701254926,0.7100806409491317,0.6982754018807682,0.7191461855605616,0.8155173299213222,0.8524544620169506,0.9166497162492752,0.9190381444986558,0.8180626719606421,0.6636373550509844,0.6614500246890768,0.7353116281126785,1.5025447836031534,1.230427677819673,1.2799485049921433,0.7625916555496467,0.7182388110687875,0.7631213798473039,0.7748995007372361,0.6560148856484053,0.6931246172615281,0.7076535112975544,0.8033177159344772,0.7109705092353023,0.6532991525715947,1.2347132321884002,0.9696261369170872,0.8596994911147224,1.2219530548833963,0.5916430667363513,0.8765063203197266,0.7586214794495568,0.7793565118617704,0.948621152100305,0.9057657460068486,1.0627955474167032,0.8358325088715537,0.8338685372881677,1.0365042406287939,1.0187239500373402,0.83866575047724,0.9460443245518355,1.0409618092931472,0.8443832361095287,0.8060103366317766,0.9142116622385763,0.9091197654796285,0.7268532948970915,0.7097932720842164,0.6869540187027474,0.6532507123358753,0.6917676552745543,0.7026168627768837,0.5971634402778146,0.6444987627071339,0.6343221217098514,0.5904608692207833,0.6085723598114906,0.5914942175022472,0.6624139867884896,0.8689403976054046,0.7631236731707638,0.7484665833000675,0.9420672658171556,1.08978722088212,0.9708297649745408,0.8121799871043434,1.3945695826897786,1.4784979722079996,0.9591019633102954,0.9334215191661613,0.7841313153653209,0.8035135201853684,1.0891591139615784,0.8201263205825647,0.8590712421542112,0.763590426352484,0.6063775875424118,0.6123117782059134,0.6309739569523178,0.6305395407997144,0.7576663784140967,0.7609788347972125,0.787563924323838,1.3153593449203336,0.8968316283837153,0.8439150117089849,0.9098648412456283,1.1979355598297432,0.6971249361225915,0.6726390990656071,1.2186358026650042,2.52531441684748,2.8276875776245163,3.373105932731002],[0.9015909425003455,0.920121674910957,0.8570862041988696,0.8522753702206303,0.8728589389823089,0.9877270270976239,0.9915486185842816,1.012294087523682,0.992271314492786,0.9818223253575045,0.9624296252766799,1.0037658816116826,1.0116257595778215,0.9517091885110287,0.9562720959759154,0.9193309914724058,0.862677098397475,0.7727338530683118,0.6590865500305937,0.7295903645040597,0.7404013834414348,0.8639016616920462,0.8611712579727991,0.98207410727019,1.100058847912021,0.8068753234953104,0.7674502264658049,0.8336160473350348,0.8566493655477895,0.9202002417492852,0.874470527441887,0.9194871653420968,0.9284522328188326,0.8644585935688585,0.85450473177646,0.829758609691235,0.9137590066474672,0.945745560967903,0.8487086504873237,0.9318536009010174,0.9554302712102757,0.820305492228305,0.8766285901368328,1.144452069700774,1.1570579343935872,1.7068154146765457,1.9067650929965085,1.3162942666630768,1.510830228824074,1.903989964996387,1.5207370191380296,1.5888961411570568,1.2927191248320666,1.0131870160870926,1.106107869251448,0.9761094103350836,1.0302648723280987,1.0147632130552564,0.989728328504536,1.307223318756519,0.9596306609067017,0.8446542411166627,0.7783550054079501,0.8168999420052139,0.766294846882733,0.7998835418060047,0.8339600850621558,0.6905104211561699,0.7003518369793138,0.8675631452685848,0.9274840161638787,1.184477663263226,0.828314928064208,0.8288688537418607,0.7454645087451585,0.8758140321874341,0.7266915951151609,0.7515384529743581,0.826140507853302,0.947042782220629,0.8450844652336966,1.0227504400693566,1.025838478551437,1.0376899026468984,1.12458899355673,0.9185945982753132,0.8415203800053721,0.9154729596778721,0.8220614362964895,0.838347202351694,0.8163359140627449,1.106621123641784,0.962811742804922,0.9068715874530017,0.9114217505875577,1.0261968402051704,1.0621813455744171,0.9701067554268187,0.9871077426762951,1.0477525211617371,0.995290119739728,1.049541389047154,1.0487229420086859,1.0478943380901728,0.994627993457972,1.06432265163427,1.0826642482737399,1.0155428646125122,0.9604211521442164,1.1090870455617896,1.0011099240481798,1.0081055829138528,0.9869248470059009,0.9920519856155238,1.0123500733574289,0.9830586623160027,0.8962115942365675,0.8349295597747215,0.7334809312753033,0.7682340061855559,0.8064776426070556,0.9278442713830688,0.9540558122020388,0.9967110689420395,0.9813783657783764,0.950791933610678,1.1367764945471517,0.9543094389923649,1.0033110626613637,0.9217492776145366,0.9522835996555732,0.9447324914670445,0.928219810470483,0.9392040167562009,0.9124637741162114,0.9385784078043004,0.9216294926117368,0.9052914148434268,0.9070491766277333,0.8919058940407176,0.7069028492105973,0.9273728710595976,0.8287434255623161,0.9235263762058269,0.9021405056033718,0.9261826934641675,0.9686438771856548,1.004656049435252,1.020953674018103,1.0371348012786408,1.0307420406455854,1.0859247696990633,1.0969456357708423,1.4462493020935456,1.497376926306241,1.0423562855098274,1.023377275496876,1.0233003114160053,1.0123499920897585,1.010293505554996,1.0643993825938982,0.9517004008160683,0.9576348500238344,0.9243952577277015,0.9965229324269361,1.0241344185319754,0.9954391653587779,1.1151704040937855,0.9875613754634579,0.945854864644064,0.937451866918632,0.9275223076589239,0.9628462485792632,0.9430310601085102,0.9510564971918773,0.9747767936210614,1.0152724611457984,1.0245952686655193,0.9522905896809619,0.9684162123630926,1.1852780696164869,0.9674614635229679,0.9941049673314303,0.9930858949976551,0.9822578667871988,1.008229856419965,1.1186693022381482,1.153491479623574,1.6548493927321237,1.3021153324999817,1.4279148138461275,1.456896501727262,1.1769538436395108,1.220738654918559,1.1041652671915567,1.08476820814691,1.021673042385332,0.9940461761833862,0.9291806846123397,1.1319853346996167,0.9749106726600009,1.0324668641231547,0.9910155422375825,0.878654914818163,0.9099247082933377,0.9618398665568254,0.8462012083760996,0.8490596564352513,0.9242565149406833,0.8869027544318381,0.8678320018922626,0.8770427278518995,0.9262770427778042,0.9528804686145691,0.9423586684618809,0.9819773092078695,1.0138404744830283,0.9154573968352274,0.8370005442277023,0.8397472572054092,0.9417497075541125,1.7724912035638325,1.3469056029396047,1.4404138538601516,1.0082500453977272,1.0682857535720842,1.1119977391539977,1.0651820997790769,0.9835948896295842,1.0149029511796102,0.9770232975082095,0.995487789044142,0.9263014389826006,0.9524281592033456,1.4962346993217202,1.2027335981028524,1.0487024743868858,1.5220331360206403,0.9010310553867251,1.1430458510181503,1.0623776462591936,1.0678463141403773,1.2116730731960486,1.2097747651867699,1.3812844348325695,1.1294278160482132,1.1160762077577324,1.3703931730627157,1.3258721865449878,1.1369119901496976,1.233419279401291,1.2925330277019134,1.1075446439617171,1.0914573418049776,1.1639573806002323,1.1097391444093363,0.9656057253689481,0.9548834043978434,0.9335314787698396,0.9356001982183189,0.9836925841437125,0.9600028595807047,0.863692710153493,0.8949391999987335,0.9218863325142341,0.8637128437383711,0.834116949105741,0.8512250223642899,0.9202963063937153,0.9640177437148095,0.893949239880111,0.9457791201734752,1.0388815191332386,1.1394738061930305,1.0451251941526756,0.950356728865565,1.4725863348935637,1.6085088308647262,1.025823992201647,1.0185074901089446,0.900996095449381,0.9097491045151133,1.1755178748227773,0.9441965046422284,0.9683252433455962,0.893938986342537,0.803974653883321,0.8701405431586674,0.9426877725048308,0.9469010106500239,1.0218069089225208,1.042896651845299,1.0763033785140148,1.6096399277920879,1.1449115058303423,1.0875089689695294,1.1526106117836918,1.4130853058175756,0.9353102018602211,0.9201113478863522,1.4137637933773728,2.7449733947527495,3.1888302518272766,3.7617070727621518],[1.1683880253124665,1.1810628094050235,1.132452891367544,1.1895337384202405,1.0197170103598276,1.0904927397321635,1.0682428151551167,1.0607780597865717,1.1526806728304964,1.1390641148081642,1.1700072514176958,1.1922192631704238,1.1706074568556475,1.1392151628301361,1.1968433749225842,1.1852122870527786,1.2290211744169386,1.285045203958057,1.4130236095726136,1.4294732333458642,1.4633412160684476,1.4304158245735286,1.720609131443737,1.747487011130325,1.971830311657316,1.735545307538153,1.5047229106052364,1.2916484482191914,1.283183181276476,1.2099672140735327,1.2440083797091226,1.1910438419235116,1.2164852886367552,1.3154958811704316,1.288667461895853,1.3237064367283136,1.2411452888609686,1.38912264160486,1.363318634409913,1.3073782086340155,1.4209079291160258,1.5895373710708516,1.675918723592636,1.9447460758999626,1.8236108517565306,2.2406931622061066,2.4395410295814166,1.9661846972130488,2.165528928779195,2.511287956584429,2.3038968396906845,2.03881561939056,2.0333391451021816,1.8215610149307184,2.032030565516455,1.7033366588536425,1.7347303580831446,1.7380064411877516,1.6666589993206633,1.7898889031097285,1.589277822538203,1.558581766494243,1.4158711256292253,1.520351587241728,1.4589301564721222,1.4362798643003225,1.4455003493836318,1.3745440749812146,1.3759741128870182,1.3377984533397946,1.3661205580276725,1.5535646139879822,1.3678011842147004,1.5030122830805397,1.362249778449825,1.5997268958239215,1.4609709990005424,1.4281193923027808,1.4240971339010853,1.4488897210442608,1.3730698167477182,1.359991580925258,1.4661019819501142,1.4055110187477953,1.541861955990256,1.2982853373521324,1.3984740922348853,1.3361320886464416,1.3785853384405287,1.3327597203518868,1.3619218185869397,1.402178867094319,1.3498796354659592,1.2804113046112,1.217896768854076,1.2937913948682647,1.278905219052265,1.1709055287349213,1.1747071596268959,1.226413386000437,1.162376531871245,1.1857062268697034,1.1351517184430728,1.01785184192851,0.98250375527551,0.9726337269320455,0.9804642717064865,0.8967047839701976,0.8525462316630897,1.019667424508122,0.9396349639715669,0.9040151230106631,0.9670482150096691,0.9185882802387533,1.032698652001739,0.933188246640493,1.1424586649199426,1.1307292997893614,1.4437271611180402,1.3049518500183923,1.3312789646370244,1.1507769164261485,1.0095176307321634,0.9982433150973742,1.0399425781032987,0.8804974833793215,1.0441694949919291,0.8592405925684917,0.8905222829636942,0.839068465937909,0.8048754308839648,0.8020824985605745,0.8015727090111444,0.8580074905481762,0.7899339450081148,0.8074246876502871,0.8256485948131072,0.7452147464082159,0.7502852724432808,0.796174205344667,0.7021896130396029,1.2901474641411113,1.250396859890665,1.0750825675690547,1.1544426204708809,1.1701298546757208,1.040742770116409,1.046697990859394,0.9802844446231076,1.0363035805687981,1.0395265406172332,1.2114944160185985,1.1824085814453427,1.5672361001277202,1.6409593608213542,1.162527178665206,1.139762735672047,1.0658946400692644,1.079258252576256,0.9787936740331791,0.9737674581781538,1.083103661080925,1.0111814341295504,1.1246236897107063,1.0608930995282504,0.9695680026763736,0.9010274496636745,1.006441657764678,0.8675367201687286,0.8156559131220861,0.7894618586606058,0.7785230553534627,0.885567571193783,0.953317314133034,1.0305353103175432,1.0603696072383826,1.1279938964340248,1.1817873129011849,1.161057007073559,1.0690287707483404,1.1115658803319912,0.9312344585173241,0.9867099891093817,1.0181374263397551,0.9969010459162652,1.1670745048642135,1.1919069030848821,1.3365130926238589,1.5262669307700665,1.2802084281275998,1.3974170773791044,1.4039410027526937,1.1114451323696999,1.0795624823308645,0.9579920973808914,0.9383533173544465,0.8861532924378303,0.8630874160687719,0.8592614339698535,1.0046252776972724,0.9244416804174639,0.9542037379554915,0.9461435509941829,0.9275849238478799,0.9625376253879441,1.0400381553341784,1.0243463292455048,1.0121106554636785,1.0658894928811415,1.122522162880112,1.16156076946517,1.1590758181452863,1.2038310218016046,1.3238432652056622,1.3230465137590384,1.3329761926124726,1.3211160636356116,1.1898079852310905,1.0611211875169733,1.0801373643354135,1.0499344982004442,1.6492598824619686,1.3598580352635257,1.7252396252625655,1.099152686439362,1.0027713436266583,1.0011974184187953,0.9560349481513339,0.9165674062487075,0.9331256930106089,0.9047929106550642,0.9830329715390475,0.9249047241269115,0.886944622593275,1.3436834656728276,1.139929095964429,1.054624182384149,1.4060945614161342,0.8622484877839649,0.9430704400145627,0.9258125244296976,0.987179775280756,1.1129333067909253,1.1494210885222618,1.2424311541176478,1.0222575669156764,1.070660722569312,1.2267494754429142,1.2117033167396651,1.1180000425825216,1.2193259168400916,1.2876656468644399,1.1667598284791072,1.1669275808812805,1.2470820911451488,1.2327584706298158,1.1694579712184514,1.1430147183095871,1.0992576813396246,1.0425925254393629,1.0265285858954847,1.000853761306121,0.9853429835762021,1.0072618952579324,0.9808886103020208,0.9644414388722711,0.9955249773945364,0.9677348186288216,1.0103931538561444,1.1617145910296476,1.1373026757741023,1.0607691038103355,1.1918069990256517,1.3523090704217764,1.2525957813698134,1.1301599752190883,1.4513433179278281,1.5030918987129611,1.2703092349849856,1.284187830635776,1.1874458668744536,1.2300151217711237,1.3957998597693961,1.1619347720891249,1.129267192096804,1.106749411590614,0.9453441400742112,0.9455647653950895,0.8968792999240962,0.8929322194109145,1.0422356327815585,1.0225835781910912,1.0997123958583757,1.534164713846402,1.2041679778304888,1.1964807845778977,1.316263014402356,1.5203475060261238,1.1316626436456567,1.1884266032258195,1.7020452433025777,3.2641147039188505,3.6399233569789082,4.305196343267567],[2.424942822899655,2.341066452797864,2.129584293226192,2.110802061640297,1.8763593241866365,2.2960751322947655,2.234579157230882,2.3060013852504877,2.548884021438425,2.5110554565381844,2.603931953424617,2.558175843212467,2.3753565226104665,2.552395719370824,2.5021499827182,2.3337193398018523,2.162255405506927,2.152773879245911,2.1476176191577325,2.166365739668318,2.323407784351371,2.3916904238478542,2.5169382798627877,2.7178010877564174,2.614392640138027,2.422634989106065,2.134355905579891,1.965336920956465,2.058170373470599,2.1057181015925734,2.2757535519038985,2.231725238014073,2.2842601205759903,2.223483479192295,2.139456387232233,2.1276504908173957,2.078044686236418,2.0801156883405723,1.9837730657377954,2.038116377713569,2.1507602144644173,2.3176694083129816,2.4350798366365902,2.6603776120773204,2.5868108905891614,2.9743490020532426,3.077239187811131,2.5338795723493712,2.953045361566224,3.367151539264876,2.9883297026859283,2.6889099338420483,2.7152979781600295,2.4121130883535105,2.4669555596342234,2.4621009316015265,2.4987634083870516,2.382792707126132,2.3572130694057636,2.724509936536729,2.4737255888014773,2.3994812544252935,2.2594319777091547,2.3855424886114194,2.3613489884700685,2.2788695095376412,2.299000220907791,2.192046825444134,2.194284499595145,2.252311461627375,2.2335753856007954,2.3412165243599166,2.2012465520500166,2.250756494962327,2.255795112586039,2.403289313210038,2.2103142573448373,2.2056685760609214,2.2079027210410427,2.2683674398212013,2.155335000835312,2.159498944095922,2.039486769920081,1.940999763733838,1.9256638936197785,1.9341211069455613,2.0918282572762203,2.078776682974389,2.170606660605926,2.2263965922909095,2.220175773350381,2.424357082770711,2.375315505228724,2.297042173281824,2.3750962512096527,2.5023393773682012,2.6267684717805366,2.4246978766066962,2.407679163881235,2.3895475418369903,2.2321839978353286,2.0884785775258825,2.0537020190095467,1.9443945097629667,1.6837026289328165,1.7061402399442813,1.655176202041427,1.4633424043001235,1.4888037015718487,1.7546973464772722,1.7475221480363516,1.658815064055185,1.9203746408665383,1.6918743675417718,2.0339492490533755,1.6720433698334047,1.815710236486527,1.5296650375897236,2.158054609786947,2.118134296378418,2.2022032504237687,2.38183383899339,1.928789685982018,1.994923131745629,2.1489027092014488,1.573348598244323,1.8108275971221013,1.4762107608286346,1.4605049629035318,1.3640595556511095,1.2226946397170166,1.2246147213093512,1.2364881389810498,1.3514354320491402,1.2319018376300261,1.2679645757003601,1.130533136563931,1.0601090327764904,0.984823904879939,1.1473164209613527,1.4029030633487487,2.2355322237281285,1.9697412585059986,1.590410684392713,1.7883954821113521,1.844324106487549,1.6787116595038771,1.8697751595610037,1.8601166713692987,2.117031677140769,2.0695442798162977,2.435241943792991,2.3812268026572854,2.8333627815167217,2.5142737742691077,2.3399235710957167,2.2537705731312654,2.1083389597408853,2.0915717405642473,1.7895356171378458,1.6125922138665107,1.7618101862822648,1.53901229646456,1.751142368462881,1.6116637812989125,1.5322064701566755,1.4351514410240853,1.5439885411355305,1.2689804697030962,1.1809078905516917,1.1668523309448176,1.1993824656215837,1.3953152231861914,1.5385752992927884,1.6875490900821055,1.7323245894196024,1.8771643121735573,1.9121297192851574,1.8179853020422876,1.757295911879049,1.8258995970692462,1.5443485883692862,1.5130718139537365,1.5450771763890971,1.5469471917684168,1.846688322859708,1.985062321375834,2.0940492204586763,2.3777449140181095,2.1184220549128367,2.1418145403683204,2.1137485549918757,1.713341781122906,1.5815620075749357,1.3696450946493735,1.2771317351297695,1.2053155849437787,1.2301875748287747,1.3110288035692006,1.5287169832472596,1.5129424094617823,1.71051618075448,1.6914075714184253,1.6391854109059767,1.785858341844875,1.9719928190633524,1.8231520267609445,1.8461331888994432,2.064566150840323,2.154264214998004,2.1189473246172557,2.190423588646259,2.360709715731756,2.3934677040490286,2.3018540986540867,2.1794954855079287,2.2537236159042813,1.921002546030578,1.8647385322005174,1.9358380307151866,1.82939021037376,2.3619234929321777,1.9770154689954935,2.2365067442166,1.7050416823198586,1.6163688771912297,1.6292101439659386,1.4857168353972139,1.4167398398831268,1.4109653407468197,1.4483195967574394,1.4311260507904342,1.3645565845128171,1.2916770348515423,1.410069003755961,1.246553128001627,1.313359273127172,1.3222925718887226,1.2736011557602442,1.4203944747937933,1.4793954241545528,1.6602111118745566,1.7987956522128032,1.8863080882440257,2.0246561959252976,1.8044533297712813,1.9419716036455485,2.170279423215994,2.157035651393286,2.080263362841201,2.311886742636389,2.4703320867431975,2.292115987292092,2.2529059200963077,2.451376849938846,2.454281965337892,2.30369156532653,2.2730124956514826,2.1318127943379035,1.9989202623272138,1.9222965254428845,1.8143586302197279,1.8520454530083759,1.8502946488776375,1.7094334726913523,1.6582296001012837,1.7202469760854182,1.566853287558702,1.4822741541138436,1.684131072741933,1.632171152061557,1.4017228686171612,1.5174831209899957,1.6418675626476207,1.5887528860586997,1.6022449720332774,1.8380157545278137,1.9974545992063748,1.8356445066716347,1.905279251030383,1.9128617848446823,2.0538952010968337,2.0152500017047963,1.7561402063686509,1.667035444669645,1.5643046756696308,1.5296425985441282,1.5792017213064367,1.483071429778052,1.574444942425505,1.9034997106953968,1.936058896498488,2.131205049920857,2.5846655281059028,2.256021784795953,2.3287188839076074,2.569436696927853,2.7410844470389604,2.3550353880751254,2.3377452326627353,3.090353401071274,4.489906393741909,4.9822106932132755,5.416927717028346]]},{"name":"Protease-ligand interaction","means":[[8.859597890626631,12.390361025948568,17.267045140165703,17.500770893323292,22.811026168274843,18.78994064741187,22.256398577526344,23.52239388507314,22.910267624275626,26.86307280786732,28.169715564312366,28.779467463459987,31.709942163159802,30.755902106662163,34.5478611036118,36.1923837516334,36.558194654459456,41.08095135650179,44.47739900824686,46.57557839962591,50.373778063869075,54.08399213064041,54.83058001130292,54.75595172451947,51.123779316296805,47.56414096877831,45.419971754158304,41.31204736484298,41.019766915255886,39.243100882598576,41.62931365104976,39.938849362122404,42.381043772947095,46.93747095801609,45.501667710050405,45.03426081399562,43.385090794585004,45.832522501339184,46.12303444313564,51.29203771695531,49.84687331882466,50.43138329851368,54.64192192040767,54.75357451657068,57.509599130438694,57.143459279314214,60.9122297856429,59.089768875713254,54.81863147503007,58.153177947904275,59.96871219526456,58.48850879827124,60.378601399918736,55.560637793870555,59.682602298467046,63.21187843466702,59.81731907904914,57.61289490119936,62.29269975771101,63.885473072797666,59.298205350396486,59.79424875153511,57.13176974349839,59.70270102258929,58.001604369306804,53.800773542678925,51.25448407833252,47.5325887049714,45.3932506703471,42.259776083912314,41.933020485754945,43.8837797334405,45.28577209818376,49.38573979505862,47.82028945916964,53.91571556086219,52.94367726588253,54.63483995316582,53.90238463591471,55.655489421408895,53.00270583230709,52.808099909205154,49.463718503444326,50.72519843731894,48.63325494908438,46.94226405586032,49.462310027007454,48.607931142749095,49.32062805910365,50.77671354995193,48.85053148140433,51.17126467220767,47.24375329462486,44.32458093399873,39.90735806832653,39.260173528692775,35.417898568839064,37.08141486677912,33.942506806228664,33.14012652735776,37.41682524334407,35.44340490672,39.34667095293466,36.75793631279822,40.860704892755564,36.20025437689991,37.69898642943187,37.318382030226495,32.84462321627764,32.384736531333125,28.408263825505564,30.925061041436308,27.810635258359465,30.608963360914633,31.509191979676405,33.242286777453366,36.59985540047776,38.38418813295226,42.35830417644299,39.267269267844775,36.84722891150093,33.3934186491287,32.34209982920201,29.740337862491373,26.498534481938396,29.13390269080906,25.693733389513454,30.075878007693355,31.54389157513954,36.022781381225094,35.87601426838899,39.442466673854966,41.69275561915532,41.729886852368516,39.38383094304326,35.97584425780749,33.95988880531786,34.30742590804663,34.220817779763486,36.92581628265602,39.86284336559257,44.50630634050169,43.088522847526704,40.31308560167726,42.82549303928221,40.218081110027605,37.38814248147429,35.01691242677818,33.38031494820142,29.436390676498316,28.587211370577343,26.245937919952656,28.09098423905826,24.97857006263553,28.57193605980876,31.01272857928895,31.345284875599845,32.12850987814911,34.756894013610996,34.909693178988846,37.06041469652183,40.426115209278116,40.52744902090824,44.34032842953431,44.68246574066636,43.48008700492025,44.54777716861868,46.44853042760098,42.98547307499095,40.33490239771425,40.02201926293423,38.874641242522486,41.513905055782324,42.39586578737066,42.65685820206522,42.00082781615904,40.66934021766921,44.77266211120454,46.055849124933665,46.17363506464355,46.75536576857104,41.27347486202298,45.830866197183624,48.66975589793881,46.777396477053955,50.51473208665474,49.845322767854796,54.58868399096763,54.372021807108325,54.04660779345244,53.81869182275968,50.305008306702746,48.77644122132074,45.74394912469852,45.249278878147635,44.37163224026159,39.44850173683897,39.08948019797012,35.382112386136384,33.54164427008598,33.62698517404472,31.171968308052534,28.987874189575123,29.011760354621778,28.919276490330095,24.83001633555632,23.940522201443272,25.280461574921375,24.065925437362697,19.368979101739022,19.989670755596634,20.31718465998538,16.65638281704885,15.111158633747275,17.85888407050121,20.364797863779096,22.403057090316498,26.87536084134873,26.933039956662423,27.79327650260638,33.13295877034358,33.617301850122224,38.430875600565535,39.37865251845865,38.66011721857302,41.21580600566586,39.69328133869821,44.41859098754337,43.04261651685682,38.3891330907367,41.80437034440265,45.46453206720171,41.92871292357382,40.72205818736673,44.82523396508594,44.78199639164993,40.55195119307344,41.45275217567977,36.722703060915485,38.78792987229108,40.26586243239541,37.31490493643767,38.758740736751164,38.93859186885146,37.31194257284685,34.74601255136699,33.666348908205016,33.35045270341458,30.370082397071286,28.440235473207235,27.74386109666161,25.18687172391778,23.134548545783833,26.108238795546132,24.40371386321531,19.664845539827056,22.009901483933678,25.3454231704911,26.387700411869304,30.103018341919288,31.151531826090505,34.97050828021111,32.185049014866806,28.71008717848873,33.708644007609394,34.47111112900512,31.417987670092863,32.6016567954927,37.820393798196314,36.04117902579017,32.509710626696204,36.38118107277766,39.90984947815858,37.49048606233257,34.842494239458325,30.636389052930216,34.29442726215831,30.652155133116803,28.334688040007258,24.722638772938016,24.011142060209494,19.913138566446133,21.897902588264845,24.919018487476343,28.518332067894388,29.941149544092777,29.543935655925956,27.545284049246042,30.392269320847664,27.7862130786794,23.964344958056863,26.081932939057616,25.21004184314519,24.912990831304686,22.507346885767266,19.874775668726087,19.318237678858527,19.453311990723922,15.595657851751064,15.12862998071592,14.265063504494753,14.718647028792752,15.348849244272168,15.478809204907298,39.63789578306152,36.494933910556995,32.11809628904726,29.631979149067277,25.281223753795448,28.210968782648802,24.767033481955743,26.33392001814926,27.256883148955765,23.869134395860407,26.153381342180545,28.000035527356328,22.294333250392512,23.20813024149281,24.807910323690493,23.05579606871143,18.847106885577947,19.30752743579995,17.947464873809743,16.139458738852465,17.116028436413433,17.501311909271493,17.813397885310042,15.26393979313881,12.31462325513995,13.324363902399428,11.04994413486221,12.932849171697935,16.529641981161532,19.38091174704613,24.649440160182767,24.63257977817422,28.814294429924566,28.80611454555681,24.596357432305414,20.878194967852952,20.445972174101243,15.364520014527539,11.79304267624055,13.742360179718453,8.602701369699563,12.74079468555871,15.015641592156436,11.78844823777914,11.992853267922204,9.13101680667672,12.852664105193966,13.480894036988152,8.286877855480062,11.964905777728264,15.382631045729763,13.985390788177426,18.67897006506905,15.947870014043014,22.079093490510555,23.6010020068266,20.158570420874707,20.664877276632854,25.36361177401269,24.70714993476615,22.117321688498564,25.75545623377586,26.323972387327885,27.16946414747469,22.980287151464967,20.822182242631865,21.532274151928256,21.749236608520288,22.206874906482735,24.24515329116324,24.143242838514908,27.4694573664322,27.621147748871305,26.497627077605866,25.967513651290382,30.135599351808313,25.703506605984852,29.456225050599997,26.101215193230402,23.97687149780066,23.269979703560672,19.98282201806732,21.192011067662417,18.5618612012743,14.404715041833661,16.74044224990468,17.53516415347567,21.99623758370067,21.465005084856546,27.600026297067608,26.964075755092736,31.384357980200033,30.583296910592626,30.766538004812645,28.19285087390766,31.489130439646743,29.410700124057026,29.236150902657496,28.681600543274925,32.31691876320552,27.539984825335225,27.955693465118316,23.95863892442677,24.055674294319598,22.2462425328412,21.112491126839995,23.881985291122042,22.568601092928542,23.56754302199028,23.99873909558903,23.39096848508216,19.120748911670592,20.681906813442662,16.530622152626005,17.281212088514643,14.701257859384869,14.11211642131943,12.256704921736846,15.25571984451271,17.325352857857983,18.197267320795476,18.99286165920497,17.316070575715358,18.00855462907501,20.293834124479414,16.978014688121853,21.73756332808198,18.314812454208084,19.389823665853033,18.389924596799823,19.054571665636193,21.09304502212056,17.231806600722265,18.00925494434922,14.023348679987794,13.100446073809344,15.43050525043559,12.44571398651235,12.451432567575534,9.227689842102341,8.898628932478621,6.067610957066526,7.689223055618985,7.749926397502341,7.528572808831195,11.994699775136398,12.011209442406452,15.81874607513498,17.70846239281765,21.519538206438973,24.44785256868649,28.268838707501914,31.363786916051072,36.01848658926011,33.88013526853433,30.27191788239512,26.416622427384855,25.20533048461454,21.89438063283678,19.72027006532403,13.897672055973311,13.22656186601636,7.879895586502555,9.031868126027222,6.313314774546373,4.319679359034642,8.050397667027049,9.674839127400423,11.9991556275028,9.533990971079483,10.264655311602628,8.260078833697024,9.287422929379611,11.669378458680699,14.261646155405485,18.409251231490003,18.895759497502077,22.304836044549937,17.732484470910933,19.176063696458478,14.26924647073649,16.3484004240702,16.4336189894205,16.08669320518327,12.584807154059709,11.781633385863351,10.223626947481035,11.934185341426641,7.663272853935127,11.102273138356573,12.732980134951065,11.201329960760182,14.01724440640271,14.456795186162031,17.298608292924754,20.775031293181264,20.13846140070629,23.74073524744748,26.078300121314697,25.569974653570668,30.565019796933708,30.555366066333125,28.009747112541703,30.976756887876945,34.42675717365053,33.095525813948804,32.25131703426924,36.138708122651586,38.44749866849071,36.42865035295215,38.42730554636095,41.58258995218793,40.52656018138116,40.22540556719331,43.6090828097415,41.630630115566184,45.35681950688592,42.61579365143243,41.08964764616619,44.41257828507478,45.838849360665314,50.71184616129492,48.98295929396736,47.42437387726858,43.80905729612569,43.60058021755378,39.45173716723407,41.121857186482856,42.544832013231556,37.158927378816024,35.99293899034544,38.78842696080683,37.057927320220536,33.170692146368246,32.8925302357315,35.42448845801993,33.610073438660955,27.73065173963125,29.791929203582004,27.807790742326997,31.232563603170746,34.30569723768573,34.507719001513834,39.00113922190593,34.95795202356398,32.867511041085855,38.36986482109765,38.14354844840874,33.95319463158097,36.34333539154392,40.121589235482915,39.6404955003574,38.440064749277546,42.56674411514694,44.48659817158436,42.70698388285711,43.87740098717921,46.63593103600452,44.450536273418955,44.22443029675524,40.55014228310781,42.683987267139564,44.81726522266975,39.78192862621741,39.07060689279781,42.21652502965893,41.13718127960556,36.497122817545694,40.4735404223887,42.464639361401844,37.883038698181984,35.78010091402182,40.645746287601284,41.72654156812565,38.60428667803767,36.70837380387297,40.32320553149578,39.210104053620746,41.94811831279766,38.20847070033587,36.45293907082283,35.32035366277219,35.41226954291551,33.06395030738618,33.414620127038525,30.15052862056461,30.845115429451134,26.94849671045374,24.791986960535542,22.319855270338714,28.596437407237286,28.596183709835213,32.241565109931074,29.903168966252302,28.6855838423037,33.77508687768341,34.44528334972122,30.207614998674153,33.959684520209514,37.423550087256054,38.27462474125153,36.084631058349075,36.60390897639173,36.83995284325877]],"stdvs":[[0.5177331620968403,0.3800851781348177,0.39662614634337473,0.3533333416763534,0.4061092525919297,0.45598355098294224,0.39969647093952015,0.48109795389211013,0.407523514831718,0.38157574173049125,0.41596098827508937,0.5423001772219079,0.4075653635881418,0.3730690722490041,0.469712727272785,0.4400360786016004,0.43604261217237394,0.43983798372739674,0.48441383571587293,0.47144548002100756,0.47432276543321183,0.4614960517738751,0.727678698703844,0.7212777811194204,0.8984351796245464,0.6485955294459521,0.45952030091630003,0.4362139689701484,0.44603808691092295,0.4823199109417494,0.480993989321376,0.5283517640848672,0.5609255995486933,0.568098255097681,0.5322739879162081,0.4882179269948952,0.5162099291783758,0.4905960866437951,0.4346151543404549,0.4993089067148879,0.6991306050577791,0.5399302037776911,0.5032358186201139,0.6582455176246504,0.8444413263298648,1.6513045348286128,1.6212487340976773,1.0101921138487076,1.243697182413218,1.5956095275486695,1.1675588187586823,1.0102074845570577,0.9270017039932953,0.7184385814414925,1.3096232299079407,0.6585261695967933,0.6115720315929956,0.7100442076822385,0.8895829710128696,0.7629811559514436,0.6646460362562225,0.6930555435255022,0.5773927403908214,0.6863981298263557,0.521323239791804,0.5413501358885485,0.6716054035917394,0.5544966076723575,0.5921396705276072,0.6133614144583402,0.8261094034919321,1.1196980183831875,0.7740326756782413,0.7490330191910981,0.5972239348558159,0.914049889433862,0.5448919102650944,0.553662069375374,0.5350026226376221,0.5504982290078848,0.6438871996633392,0.6526570550917276,0.8403194951749624,0.5457114679582978,0.6442366122210172,0.5471306560295859,0.5186678655012752,0.6220234097452833,0.49509896852156693,0.6260191345087137,0.528082686600249,0.6493483404015826,0.5384773987318464,0.508781853598108,0.4961684817781374,0.5716716752950509,0.5511203162249978,0.570411463219589,0.5792124501449082,0.8524851082846362,0.6071086559631994,0.7817196138183204,0.590275350158563,0.6815495906862252,0.6866561116533147,0.651041721246425,1.0499176128154586,0.6286894017034744,0.6268061928133939,0.7964046997113509,0.5701209385278534,0.48752981132837714,0.43332934584820915,0.4121346797217031,0.40088360375109994,0.4130336456044202,0.4483316626163058,0.447745688994763,0.48933837674304825,0.4641826851570817,0.44803815331589997,0.41855972316647416,0.43794202700460855,0.39177206239823537,0.3821431364747831,0.4350286490074283,0.6218816898226406,0.5342057977125391,0.5878864896701251,0.5912888103680772,0.6025397072598677,0.7103571136775046,0.6142575169081403,0.6291142134974584,0.6084735463135316,0.5730882422284834,0.654708504148884,0.531141599324622,0.49327229663807887,0.45546174130754513,0.5689114897598893,0.5891655958997412,0.48328059967775056,0.4259822331738961,0.44036833422147087,0.42778191837201307,0.4044772532629648,0.4489959820729194,0.4535754468253867,0.4723593426402619,0.6046806084130606,0.5799160705916123,1.0185747518028883,1.4548709504549693,1.1016327575301945,0.6748250898114916,0.5592329610327966,0.6007400970314247,0.5174600557095107,0.5222752296842892,0.48005772155690024,0.4371183958399666,0.41488980616448556,0.45554450407964747,0.5512349258159626,0.6058893265646199,0.5500757257696781,0.6903557476888729,0.7594231493554954,0.7264480301948527,0.5532022131706908,0.49324998430054046,0.5606140465533102,0.5426738905322595,0.4888694692406303,0.5578841743427013,0.5317050976934292,0.7731381181717579,0.5209106949623393,0.6180165144979886,0.6211556853944914,0.5700596745794212,0.6024501259110941,0.6373578645069669,0.6152131146965053,0.6089977037085291,0.4985011384770191,0.6983823657317798,1.1089219319511627,0.793638333848762,0.9338755793024776,0.7227201094396507,0.6583138118834657,0.5971876255603167,0.6009618479259714,0.6783006005529203,0.6750476505624653,0.6224011395732092,0.6521411100584107,0.6827074532226076,0.6762180375342172,0.7185542505461973,0.6518969102741569,0.6498175439671813,0.6957374199905447,0.6673416211865679,0.6978888752822975,0.7198113020248009,0.7736214914738229,0.6985357626154692,0.7692758620551712,0.8066473651832211,0.7685935091698743,0.7962213560898016,0.9113584643371826,0.9126128043166986,1.0484842406727295,0.932664353067351,0.8389454066126676,0.8803536943078626,0.9684254767115871,1.8563269223836358,1.2409149444332608,1.519955947232103,0.8622401900958606,0.8390962615006655,0.8741712408420057,0.9089493979187265,0.9211495052966687,0.7634550281310457,0.8040644137412378,0.8290065448197163,1.0087569362836875,0.7696090816177823,0.8852572627902947,0.9892329285624523,0.8925000807365312,1.1351519978965108,0.8186003375712861,0.7424577068059417,0.7104811350823381,0.7706092090186542,0.8669537381512931,1.0302908452332404,0.9349069137798137,0.867530864713219,0.8831127303647539,1.0388387149076337,0.9424703155972258,0.8136702540914368,0.9962432944256208,1.0847130268912413,0.8878717160241361,0.9499213001551334,1.0831613817973944,1.0738655815482907,0.9120942356785137,1.0001628605854855,0.9190120124192562,0.8997888017009191,0.8386980768086524,0.8243204163380612,0.9038251632606034,0.7886351619102869,0.7986624494157923,0.816417152573841,0.8308994048276775,0.7430053297358068,0.8546111641465569,0.9386973917877542,0.8504158947182525,0.8518013579128775,0.9178829244126913,1.1241649268242353,0.9238642857043142,0.9130043455157051,0.9848639732656809,1.137347400674407,1.1917655339901738,0.9997285293940156,0.8509882526729219,0.8353893941672371,1.10183940543908,1.0082592192460662,1.0254210919359659,0.8860935453384717,0.8767064111718366,0.6592918583350913,0.6323384788871269,0.6705582276510563,0.6103945432295517,0.5637387874992517,0.6401387820955163,1.269866785669377,0.5773977195831318,0.5533174129761546,0.6636838977807626,0.8716976508774459,0.46836798651930256,0.6369025777283529,1.3155499940092596,1.235017553921259,2.2717178168209227,3.1262494312274023,0.5917735311515757,0.5628706933242449,0.6336993061246528,0.47358241334428103,0.5892792691450237,0.4127105582286498,0.3744781711245142,0.358112278020262,0.37651566789874946,0.3628121683777589,0.3917550809252858,0.39412023914601607,0.3929094158351376,0.3505865908771975,0.39685562384617135,0.3518931196335477,0.3632317104918464,0.36437812283126986,0.45570850955272935,0.40610649429762985,0.4563129357253861,0.7099257582367362,0.6103033565293017,0.8135188604135971,0.617568015708798,0.41005407957350104,0.34597151559984524,0.32726535549504976,0.357505679972424,0.3421425879366223,0.3715128837026475,0.3591238267283776,0.40750940187212126,0.39673407697264934,0.384485071484024,0.381335052490652,0.38364072278114475,0.47355759578909346,0.36631097763284376,0.3413439927079437,0.3422715872199619,0.39685523175531345,0.4385984455633918,0.5862734405891233,0.8092288482701103,1.0289564149822141,1.1783231625638466,0.6628284237332072,0.5477481609204063,0.7313278696061075,0.7000995393693158,0.6176859988927368,0.5943238493641227,0.8388608665597402,1.262247605221379,0.7804705955830687,0.7758990913060347,1.0660295398310977,1.1305204992726143,0.9881697456140677,0.7891735393626725,0.7050271764359413,0.5502427043091795,0.7579406176045506,0.6876708132354434,0.5283449694587041,0.5223805604734617,0.40249009253276097,0.5126123755279912,0.4658093810602697,0.692822784719257,1.005267856268052,0.47260374063349364,0.6469851340089515,0.4533568812984164,0.7457801170432681,0.5309155148463102,0.5100666238876832,0.5820997778029983,0.637040182276841,0.44632661599682477,0.6017701456267993,0.5394716089574404,0.7966013428025962,0.5916892855377175,0.38352292542064387,0.3992181308079821,0.4265081448030152,0.45001232301360394,0.4426135573210308,0.4991466816411572,0.6553518193610643,0.539487030230557,0.4344825520987974,0.3874968975475151,0.42754585559441965,0.6416227403117936,0.4091568802378876,0.36952143833432644,0.3610889692800314,0.37588747420831287,0.3769258908693233,0.4352185484708663,0.4139877581900681,0.9226902843454398,0.36019146417378967,0.6633764426721698,0.4295588086558347,0.408981805516601,0.3799682885239406,0.3485163315664563,0.3404693075604981,0.3282223906365516,0.3822975829188077,0.38286952338466795,0.3792950733124319,0.36228733774469757,0.3700784726974422,0.5391044535238395,0.43274151699254754,0.4081039544018581,0.3948980684602506,0.3880670069938271,0.3930744097437496,0.4007895196791306,0.3842800789516993,0.3459285379741887,0.3787926260045884,0.4096752753964181,0.38901045457291217,0.32280105290686395,0.34824677581421937,0.40226409802665153,0.38441212786240175,0.3346445735814957,0.32651314646328283,0.5577425528095189,0.4748375090807924,0.3081182186075711,0.30288384764035026,0.4905944133899293,0.5314319098234623,0.3567035524265171,0.35219091889238413,0.3118041264475725,0.3166867301501278,0.2915944393966528,0.30955877394562165,0.2945139863697859,0.3534023662763245,0.313667076563299,0.3547104752137954,0.5530985935695379,0.6543970433388504,0.5141668840282413,0.3588106502151239,0.358267724412802,0.32630295404643417,0.3159507675286755,0.37534784993423015,0.3035699299890937,0.3176035033430407,0.2709400667681632,0.4094139528688411,0.5336475942654435,0.3844455876714038,0.2871556113951481,0.46043672356683435,0.4722036056434161,0.5864817530979112,0.36621776654050486,0.33453741915160046,0.372739248259519,0.3522433398807122,0.3632901562633654,0.4026037355199268,0.38638522513517604,0.4884999667444514,0.5305522037522793,0.4926823100381515,0.8305653719117562,0.33259706695721253,0.5002923123867278,0.4911072188638269,0.42769572413381884,0.500138392099284,0.38264869557565945,0.44953225165167265,0.7890555860823336,0.6033575982583911,0.8271681614628089,0.8350180555542732,0.930296836757777,0.8314549604549031,0.6939506734215574,0.6393737749516872,0.5305961788989877,0.5495211954508112,0.4842240948556126,0.4847593618869031,0.4940005900114399,0.5075801732030506,0.38992839833676896,0.38100394740970334,0.39992471252312467,0.3899753731813835,0.5229153932643981,0.43699222237408974,0.4092895752197523,0.5529652070489951,0.6420775619483232,0.5304130465527536,0.5793531097755402,0.8959097679469915,0.8676258850597789,0.8886880869751431,0.6019245385104649,0.6926780875204719,0.5374384285744678,0.4959178307032269,0.6039437962212042,1.6572083686237307,1.2944275981157245,0.7640544278601756,0.7096386205538368,0.8848524488034385,0.9100999810466018,1.0579369616976346,0.8385072326628641,0.8424678058173262,0.8387213254178196,0.9855246545951356,0.7353773725286619,0.7697850890804104,1.2318797455471884,0.9779902941518748,0.7743693286929683,1.058929605215097,0.549706827308793,0.7938639626277564,0.8758780465401503,0.8419766204740886,1.0104168695368339,1.011571242202863,1.0945260987993848,0.8605847007130035,0.8208924443294691,0.989991794280316,0.7879892757534783,0.5607279813150727,0.6446957256641236,0.6365311652190966,0.48121763945893875,0.5230546624174415,0.5266489511536625,0.7519121872676358,0.5010552782937837,0.45888439631596856,0.44394827745136806,0.49808807318062787,0.5696895493524315,0.689088753092617,0.480687832088199,0.42934418416843334,0.5614272590489023,0.5429210496942067,0.4721371827163382,0.4837605437117698,0.6639227555769506,0.6509498860074125,0.611640812009878,0.6574999353982971,0.9686851810790784,0.9020726265866463,0.8510847912742541,0.945724411223369,1.4370823936840362,1.8537883672419457,0.9483028151625441,0.9510550831788008,0.7471847706792346,0.9066673113991376,1.2950744283089664,0.9996480242713532,0.8868282377816924,0.8278879769088979,0.5984809102018677,0.5659501561180549,0.3822693118155395,0.3920807509122524,0.6671463331131433,0.38013280590621684,0.3936530624782917,0.5973847155088455,0.40665181990761823,0.43838438007405744,0.4636835062558448,0.5859899838389057,0.6548096986227936,0.5310498459634252,0.568551668074243,0.845706891762432,1.259599136200791,2.699432354641439]]}]}